Enhanced Instructional Transition Guide Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Unit 01: Number Relationships (9 days) Possible Lesson 01 (9 days) POSSIBLE LESSON 01 (9 days) This lesson is one approach to teaching the State Standards associated with this unit. Districts are encouraged to customize this lesson by supplementing with district-approved resources, materials, and activities to best meet the needs of learners. The duration for this lesson is only a recommendation, and districts may modify the time frame to meet students’ needs. To better understand how your district is implementing CSCOPE lessons, please contact your child’s teacher. (For your convenience, please find linked the TEA Commissioner’s List of State Board of Education Approved Instructional Resources and Midcycle State Adopted Instructional Materials.) Lesson Synopsis: Students develop competency of efficient basic fact retrieval through the use and selection of a variety of strategies. As students develop an understanding of number concepts through transitional strategies, they are able to confidently and accurately compose and decompose numbers, as well as understand how they relate to other numbers with automaticity, instead of simply memorizing an inventory of basic facts. TEKS: The Texas Essential Knowledge and Skills (TEKS) listed below are the standards adopted by the State Board of Education, which are required by Texas law. Any standard that has a strike-through (e.g. sample phrase) indicates that portion of the standard is taught in a previous or subsequent unit. The TEKS are available on the Texas Education Agency website at http://www.tea.state.tx.us/index2.aspx?id=6148 2.3 Number, operation, and quantitative reasoning. The student adds and subtracts whole numbers to solve problems. The student is expected to: 2.3A Recall and apply basic addition and subtraction facts ( to 18). 2.5 Patterns, relationships, and algebraic thinking. The student uses patterns in numbers and operations. The student is expected to: 2.5C Use patterns and relationships to develop strategies to remember basic addition and subtraction facts. Determine patterns in related addition and subtraction number sentences (including fact families) such as 8 + 9 = 17, 9 + 8 = 17, 17 – 8 = 9, and 17 – 9 = 8. Underlying Processes and Mathematical Tools TEKS: page 1 of 74 Enhanced Instructional Transition Guide Grade 2/Mathematics Unit 01: Suggested Duration: 9 days 2.12 Underlying processes and mathematical tools. The student applies Grade 2 mathematics to solve problems connected to everyday experiences and activities in and outside of school. The student is expected to: 2.12C Select or develop an appropriate problem-solving plan or strategy including drawing a picture, looking for a pattern, systematic guessing and checking, or acting it out in order to solve a problem. 2.13 Underlying processes and mathematical tools. The student communicates about Grade 2 mathematics using informal language. The student is expected to: 2.13A Explain and record observations using objects, words, pictures, numbers, and technology. Performance Indicator(s): Grade2 Mathematics Unit01 PI01 Using a set of basic fact cards, recall the sum or difference of each card and identify the strategy used to solve the fact on paper. Orally explain why that particular strategy was selected and how it helped in quickly finding the sum or difference. Standard(s): 2.3A , 2.5C , 2.12C , 2.13A ELPS ELPS.c.1E , ELPS.c.3D , ELPS.c.3H Key Understanding(s): A variety of strategies can be used to learn and recall addition and subtraction facts. Patterns exist in related addition and subtraction number sentences that share or use the same numbers. Mathematical strategies to solve problems involving addition and subtraction are revised, refined, and valued when shared orally. Underdeveloped Concept(s): Some students may struggle with the concept of cardinality meaning students count the set, but do not realize that the last number counted defines the value of the set. Some students may struggle with the concept of hierarchical inclusion, meaning that they do not understand that numbers are nestled inside of each other (e.g., 9 page 2 of 74 Enhanced Instructional Transition Guide Grade 2/Mathematics Unit 01: Suggested Duration: 9 days is part of 10 because the smaller number is part of the bigger number). Vocabulary of Instruction: addend arrangement doubles doubles plus/minus one fact family make ten near doubles number sentence recall of facts related fact strategy sum Materials List: basic fact cards (1 set per teacher) box (small) (1 per teacher) chart paper (1 sheet per teacher) coins (4 quarters, 10 dimes, or 20 nickels) (1 set per teacher) counters (20 per 2 students) counters (20 per teacher, 20 per student ) cup (small) (1 per student) deck of 52 playing cards (1 deck per 2 students) deck of 52 playing cards (1 deck per 3 to 4 students, 1 deck per teacher) double nine dominoes (4 sets per teacher) index card (5 per 4 students, 6 per teacher) linking cubes (20 per student) linking cubes (40 per teacher) marker (1 blue, 1 red) (1 set per teacher) math journal (1 per student) paper (1 sheet of red, 1 sheet of yellow) (1 set per 2 students) paper (1 sheet per student) paper (plain) (6 sheets per teacher) paper (plain) (6 sheets per teacher) page 3 of 74 Enhanced Instructional Transition Guide Grade 2/Mathematics Unit 01: Suggested Duration: 9 days plate (paper) (1 per student) scissors (1 per teacher) sticky notes (2 of 1 color , 1 of another color) (4 sets per 2 students, 1 set per teacher) sticky notes (2 of 1 color, 1 of another color) (1 set per 2 students, 4 sets per teacher) two-color counters (10 per student) two-color counters (18 per 2 students, 18 per teacher) Attachments: All attachments associated with this lesson are referenced in the body of the lesson. Due to considerations for grading or student assessment, attachments that are connected with Performance Indicators or serve as answer keys are available in the district site and are not accessible on the public website. Doubles/Non-Doubles T-Chart KEY Doubles/Non-Doubles T-Chart Ten Frame Doubles Picture Cards Double Your Fun KEY Double Your Fun Doubles Story Problems KEY Doubles Story Problems Pictorial of Hands #1 Pictorial of Hands #2 Doubles Flash Cards page 4 of 74 Enhanced Instructional Transition Guide Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Doubles Plus/Minus One Flash Cards Flash Card Recording Sheet KEY Flash Card Recording Sheet Doubles and Near Doubles Story Problems KEY Doubles and Near Doubles Story Problems Even/Odd Recording Sheet KEY Even/Odd Recording Sheet Composing and Decomposing Ten Recording Sheet Double Ten Frame Make Ten Recording Sheet KEY Make Ten Recording Sheet Fact Family Number Sentences KEY Fact Family Number Sentences Parts of Stories KEY Parts of Stories GETTING READY FOR INSTRUCTION Teachers are encouraged to supplement and substitute resources, materials, and activities to meet the needs of learners. These lessons are one approach to page 5 of 74 Enhanced Instructional Transition Guide Grade 2/Mathematics Unit 01: Suggested Duration: 9 days teaching the TEKS/Specificity as well as addressing the Performance Indicators associated with each unit. District personnel may create original lessons using the Content Creator in the Tools Tab. All originally authored lessons can be saved in the “My CSCOPE” Tab within the “My Content” area. Suggested Day 1 Suggested Instructional Procedures Notes for Teacher Topics: Spiraling Review Doubles strategy Engage 1 MATERIALS Students use the doubles strategy to develop competency of efficient basic fact retrieval. coins (4 quarters, 10 dimes, or 20 nickels) (1 set per teacher) Instructional Procedures: linking cubes (40 per teacher) 1. Display a value of fifty cents worth of coins (2 quarters, 5 dimes, or 10 nickels) for the whole class to see. TEACHER NOTE Ask: It is not necessary to use counters for this What does it mean to double your money? Answers may vary. You could have twice as much money, e.g. doubling 50 cents would make a dollar; you have the same amount 2 times; activity. Just place linking cubes for the class to see. etc. 2. Present a real-life situation to reinforce the idea of doubling, such as the following: What would it mean to double the amount of homework tonight? Answers may vary. Whatever assignments you were going to give us, you will now have twice as much; double the number of problems; etc. If I am going to assign four problems for homework (display 4 linking cubes in a clustered Image credits: 1, 2, 3 math fonts version 3. group), and then I double that amount of problems, how many problems would I be (2006). Available from www.justusteachers.com page 6 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher assigning for homework? (You would be assigning 8 problems.) Who can demonstrate this? Answers may vary. 3. Invite a student volunteer to model this scenario for the class to see. After the volunteer adds 4 more linking cubes, ask: How many problems would I be assigning for homework? (8 problems) Is there another way to arrange the cubes so that you could see that the number has been doubled? Does anyone else have any ideas about the arrangement? Answers may vary. See sample below. Image credits: 1, 2, 3 math fonts version 3. (2006). Available from www.justusteachers.com Topics: Doubles and non-doubles ATTACHMENTS Teacher Resource: Doubles/Non- page 7 of 74 Enhanced Instructional Transition Guide Suggested Day Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Suggested Instructional Procedures Notes for Teacher Doubles T-Chart KEY (1 per teacher) Explore/Explain 1 Handout: Doubles/Non-Doubles T-Chart Students compare and contrast examples of doubles and non-doubles and investigate the odd and (1 per student) even patterns that evolve. MATERIALS Instructional Procedures: 1. Place students in pairs. Distribute handout: Doubles/Non-Doubles T-Chart to each student and a deck of 52 playing cards (1 deck per 2 students) deck of playing cards, with the face cards removed, to each pair (see Teacher Note). 2. Explain to students that they will be dividing the deck of cards into 2 groups, individual cards that TEACHER NOTE represent doubles in a pile under the heading “Doubles” and individual cards that do not represent It is the choice of the teacher to use the ace as doubles in a different pile under the heading “NonDoubles”. Model the process by showing students 1 or discard it with the other face cards. the 6 of spades. Explain to students that, “The picture of the spade under the number 6 is only modeling the suit, not the quantity. The quantity 6 is modeled pictorially with spades in the center of the card” (see Teacher Note). Ask: TEACHER NOTE Students may not realize that the shape under the number on a playing card is used to describe Does each picture (spade) have a match? (yes) the suit, such as diamonds, and is not included How many pairs or matches are on this card? (3 pairs or 3 matches) in the pictorial representation of the quantity: What double equals 6? (3 + 3) (e.g., the diamond under the 5 represents the Would this card be place under the heading Doubles or Non-Doubles? (Doubles) suit (diamonds) and the 5 diamonds in the Who can give an example of a card that would be placed under the heading of Non- center of the card is the pictorial representation Doubles? Explain. Answers may vary. The 5 of diamonds because there are 2 pairs with 1 left of number 5). over; 2 + 2 + 1 more; double 2 plus 1 more; etc. page 8 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher 3. Allow time for students to work through their entire deck of cards. Monitor and assess students to check for understanding. Facilitate a class discussion about the activity. Ask: TEACHER NOTE It is important to talk through each of the steps when examining doubles and non-doubles so auditory learners are able to process the steps as you provide visual instructions as well. How are the cards under the Doubles heading alike? Answers may vary. All of the cards have 2 identical sets of pictures below the other; they have matching sets across from each other (e.g., 2 hearts on top and 2 hearts on bottom or 2 hearts on the left and 2 hearts on the right “even matches.”); etc. How are they different? Answers may vary. The cards have different totals; the cards have different pictures; etc. Were any of the cards more difficult to place than the others? Answers may vary. The number 8 card and number 10 cards were more difficult because the matching pictures are not in columns or rows; there were 2 in the middle that make a pair or match; etc. How are the cards under the Non-Doubles heading different from the cards sorted under Doubles? Answers may vary. The cards under the Non-Doubles have an extra picture in the middle; etc. (see Teacher Note for the 5 of diamonds) page 9 of 74 Enhanced Instructional Transition Guide Suggested Day Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Suggested Instructional Procedures Notes for Teacher Look at all of the numbers listed under the Doubles heading. What type of numbers are these? (The cards under the Doubles heading are even numbers.) How do you know? Answers may vary. The even numbers always have a matching pair/partner with none left over; etc. Look at all of the numbers listed under the Non-Doubles heading. What type of numbers are these? (The cards under the Non-Doubles heading are odd numbers.) How do you know? Answers may vary. odd numbers always have an extra picture in the middle of the card; Odd numbers never have all pairs; etc. What do you know about the patterns for even numbers? Answer may vary. Each picture of the set has a partner picture or pair; even and odd numbers alternate when counting; etc. What do you know about the patterns for odd numbers? Answers may vary. There is 1 picture in the set that does not have a partner picture; etc. Topics: Doubles strategy process MATERIALS index card (5 per 4 students, 6 per teacher) Explore 2 marker (1 blue, 1 red) (1 set per teacher) Students reinforce the double strategy by stating the process. box (small) (1 per teacher) scissors (1 per teacher) Instructional Procedures: page 10 of 74 Enhanced Instructional Transition Guide Suggested Day Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Suggested Instructional Procedures 1. Prior to instruction, create a set of Double Cards (5 + 5 through 9 + 9) for every 4 students and a set for the teacher by writing an addend on one side of an index card and the sum of the double on the other side using the facts 5 + 5 through 9 + 9 (e.g. for the fact 7 + 7, the number 7 would be written on one side of the index card in blue and the sum 14 would be written on the other side of the index card in red). Also, prior to instruction for class demonstration, construct a Doubling Box by taking a small box, such as a shoe box, using a pair of scissors to cut a 4 inch slit on top of the box, and affixing an index card labeled Doubling Box, on the front of the box. Notes for Teacher RESEARCH Fosnot and Dolk (2001), state the importance of doubles because doubles are the basis of many other facts. When the focus of addition and subtraction facts is relationships, there are far fewer facts to remember, and big ideas like compensation, hierarchical inclusion, and part- 2. Place students in groups of 4 and distribute a set of Double Cards to each group. part-whole come into play (p. 99). 3. Display the Doubling Box and the teacher stack of Double Cards face down. Instruct each group of students to lay all of their Double Cards blue side up on their desk. 4. Model the activity by inviting a student volunteer to select 1 card from the teacher Double Cards set. Instruct the student to show the blue side of the card only to the class (e.g., If the card has a blue 6 recorded on one side and a red 12 on the other side, show the addend of 6.). Instruct the volunteer to continue to hold the card for the class to see while each group points to the blue 6 of their Double Cards. Once each group has located the card, instruct them to discuss the doubles number sentence for that card. Allow groups time to discuss and determine the number sentence. Ask: Double 6 is what number sentence? (6 + 6 = 12) 5. Instruct each group to pick up the blue 6 card and look at the red side of the card to verify that double 6 is 12. 6. Instruct the student volunteer to record the number sentence for the class to see, and place the 6 card in the Doubling Box. Instruct students to lay the blue 6 card to the side. page 11 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher 7. Again, invite a student volunteer to select another card from the remaining teacher Double Cards stack and display the card for the class to see. Instruct student groups to determine the double number sentence, facilitate a class discussion of the doubles number sentence, and instruct the student volunteer to record the doubles number sentence for the class to see. Repeat the activity until all double cards have been discussed and all double number sentences have been recorded. 8. Review the number sentences posted and instruct students to chorally read them to reinforce the double facts listed. Ask: What is another way to represent double 7? (7 + 7 = 14) If the red side of the card is 16, what number was doubled? (8) 9. Instruct students to turn all their cards over to their blue side and then order the cards 5 – 9, least to greatest. Ask: What pattern do you notice? (The cards are increasing by 1.) 10. Instruct students to leave the cards in the same order and flip the cards over to their red side. What do you notice about every doubled sum? (A doubled sum is always even.) What pattern do you notice? (The cards are increasing by 2.) Why did the cards increase by one and the doubled sum increase by 2? Answers may vary. The cards increased by 1, I doubled the card increasing it by another 1, so the doubled sum was increased by 2; etc. page 12 of 74 Enhanced Instructional Transition Guide Suggested Day 2 Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Suggested Instructional Procedures Notes for Teacher Topics: Spiraling Review Doubles using ten frames Explain 2 Students identify the double strategy using a ten frame model. Instructional Procedure: 1. Distribute 20 linking cubes and a copy of handout: Ten Frame to each student. 2. Display teacher resource: Doubles Picture Cards revealing only “Picture 1” for a brief amount of time (less than 5 seconds). 3. Instruct students to use the linking cubes to represent the picture. Then ask student to discuss their model and describe what they saw with the person sitting next to them. Ask: Who can describe what they saw? Answers may vary. There were 2 sets of hands; each hand had 5 fingers; there were 10 fingers; etc. What double did you see? (2 fives side by side) 4. Instruct students to use handout: Ten Frame to organize the linking cubes representing the fingers ATTACHMENTS Teacher Resource: Ten Frame (2 per teacher) Handout: Ten Frame (2 per student) Teacher Resource: Doubles Picture Cards (1 per teacher) Teacher Resource: Double Your Fun KEY (1 per teacher) Handout: Double Your Fun (1 per student) Teacher Resource: Doubles Story Problems KEY (1 per teacher) Handout: Doubles Story Problems (1 per student) MATERIALS linking cubes (20 per student) from “Picture 1”. 5. Display teacher resource: Ten Frame. Invite a student volunteer to model their ten frame TEACHER NOTE page 13 of 74 Enhanced Instructional Transition Guide Suggested Day Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Suggested Instructional Procedures Notes for Teacher representation for the class to see. Teaching students to distinguish the rows from the Ask: columns in this lesson sets the foundation for How did you use the ten frame to record what you saw? Answers may vary. I filled both multiplication. rows of a ten frame with 5 counters on the top and 5 counters on the bottom (if the frame was horizontal); 5 counters on the left and 5 on the right (if the frame was vertical); etc. What number sentence would describe the number of fingers you saw in the picture and the model you created? (5 + 5 = 10; 5 fingers plus 5 more fingers equals ten fingers altogether; etc.) Instruct the student volunteer to record the number sentence below their representation for the class to see, and then ask the class: Is the sum or answer even or odd? Explain. (Even, each finger has a partner.) 6. Repeat the process revealing “Picture 2” followed by “Picture 3” from teacher resource: Doubles Picture Cards. 7. Distribute handout: Double Your Fun and the second copy of handout: Ten Frame to each student. Model how to complete the first problem from teacher resource: Double Your Fun using both copies of teacher resource: Ten Frame. Make sure that the students refer to the rows (not columns) when identifying the doubles. page 14 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher 2 rows of 6 eggs 6 + 6 = 12 eggs 8. Allow time for students to complete handout: Double Your Fun individually, and then facilitate a class discussion about the activity. Ask: For problem 1, what number was doubled to give a sum of 12? (6) How could you describe problem 2 using words? (There are 2 rows of 8 crayons, and a total of 16 crayons.) What double is represented in the problem 3? (7 + 7) Is 7 an even number or odd number? (odd) If you add 2 odd numbers together, will the sum be even or odd? Why? Answers may vary. The answer or sum will be even because when you place the counters side by side in the ten frames, they match perfectly; etc. What double is represented in problem 4? (4 + 4) 9. Distribute handout: Doubles Story Problems to each student to complete individually. Instruct students to read each story problem, draw a picture to represent the story, and identify the doubles number sentence that corresponds to the story problem. page 15 of 74 Enhanced Instructional Transition Guide Suggested Day 3 Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Suggested Instructional Procedures Notes for Teacher Topics: Spiraling Review Doubles plus/minus one Explore 3 Students identify the doubles plus/minus strategy using a ten frame model. ATTACHMENTS Teacher Resource: Ten Frame (2 per teacher) Instructional Procedures: 1. Place students in pairs. Distribute a copy of handout: Ten Frame and 20 counters to each student. Remind students of how the ten frames were previously used. Instruct students to duplicate what they are about to see. Handout: Ten Frame (2 per student) Teacher Resource: Pictorial of Hands #1 (1 per teacher) Teacher Resource: Pictorial of Hands #2 (1 per teacher) 2. Using counters and a copy of teacher resource: Ten Frame, display 2 groups of 2 and 1 additional counter off to the side for a brief amount of time (less than 5 seconds). MATERIALS counters (20 per teacher, 20 per student ) 3. Instruct students to use their counters and handout: Ten Frame to duplicate the pattern and discuss the picture they saw with their partner. Sample: TEACHER NOTE It is important to discuss both addition and subtraction when viewing doubles plus/minus one. This is a key concept in numerical fluency. Ask: Some students will view the arrangement as addition and some will view it as subtraction. page 16 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher How would you describe the structure of the counters? Answers may vary. I saw 3 counters and 2 counters; I saw 4 counters and 1 more counter; I saw 2 counters and 2 counters and 1 more counter; etc. Ex: 5 could be 2 + 2 + 1, 4 + 1 = 5, 3 + 3 – 1 How many counters did you see? (5 counters) = 5, or 6 – 1 = 5 What number sentence would mathematically communicate the arrangement displayed with your counters? Answers may vary. I saw 2 groups of 2 counters which equals a total of 4 counters with 1 additional counter for a total of 5 counters; 2 + 2 + 1 = 5; I saw 2 rows with 3 counters in each row but 1 row was missing 1 counter; 3 + 3 – 1 = 5; etc. Redisplay the arrangement of counters to affirm students’ descriptions. TEACHER NOTE It is important when modeling to alternate the position of the extra counter when showing doubles plus one. Many times the extra counter is only placed on the top row, which may lead to 5. Using counters and teacher resource: Ten Frame, display 2 groups of 3 counters with 1 additional a misconception. counter off to the side for a brief amount of time (less than 5 seconds). TEACHER NOTE If students do not demonstrate 7 + 7 – 1, model 6. Instruct students to use their counters and handout: Ten Frame to duplicate the pattern and it for them by first building 6 + 7 using ten discuss the picture they saw with their partner. frames and sliding a counter in the missing Sample: place to create 7 + 7. Slide the counter out again to demonstrate the minus one. Ask: How would you describe the structure of the counters? Answers may vary. I saw 4 counters and 4 counters, with 1 missing; I saw 6 counters and 1 more counter; I saw 3 counters and 3 counters and 1 more counter; etc. page 17 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher How many counters did you see? (7 counters) What number sentence would mathematically communicate the arrangement displayed with your counters? Answers may vary. I saw 2 groups of 3 counters which equals a total of 6 counters with 1 additional counter for a total of 7 counters; 3 + 3 + 1 = 7; I saw 2 rows with 3 counters in each row and 1 row had 1 additional counter; 3 + 3 + 1 = 7; etc. 8. Distribute the second copy of handout: Ten Frame to each student. Display the teacher resource: Pictorial of Hands #1 for a brief amount of time (less than 5 seconds). Instruct students to use their counters and both copies of handout: Ten Frame to duplicate the pattern and discuss the picture they saw with their partner. 9. Display both copies of teacher resource: Ten Frame. Ask: Who can describe what they saw? Answers may vary. There were 2 sets of hands plus 1 extra finger; each hand had 5 fingers for a total of ten fingers plus the extra finger which equals 11 fingers; 5 + 5 + 1; etc. How many ten frames did you use to represent the picture? (I had to use 2 ten frames.) Who would like to demonstrate their arrangement of counters? Answers may vary. I put 6 counters in one ten frame and 5 counters in the other ten frame; I filled in one ten frame with counters to represent the 10 fingers and placed 1 counter in the other ten frame to represent the extra finger; etc. What double did you see? (5 + 5 or 6 + 6) Is 11 one more than or one less than 10? (1 more than 10.) Is 11 one more than or one less than 12? (1 less than 12.) page 18 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher Redisplay the teacher resource: Pictorial of Hands #1 to affirm students’ descriptions. 10. Display the teacher resource: Pictorial of Hands #2 for a brief amount of time (less than 5 seconds). Instruct students to use their counters and both copies of handout: Ten Frame to duplicate the pattern and discuss the picture they saw with their partner. 11. Using both copies of teacher resource: Ten Frame, ask: How can you describe the arrangement displayed? Answers may vary. There was 1 hand showing all the fingers except 1; each hand had 5 fingers which would be a total of 10 minus the 1 finger tucked under for a total of 9 fingers; I saw 4 fingers plus 4 more fingers and an extra finger; etc. What double did you see? (4 + 4 or 5 + 5) Redisplay the teacher resource: Pictorial of Hands #2 again to affirm students’ descriptions. 12. Facilitate a class discussion on doubles plus/minus one. Ask: How does knowing your doubles facts help in solving other addition problems? Answers may vary. You could double a number and then add 1 more; you could double a number and then subtract 1 from the total; etc. 13. Display the basic fact 6 + 7 = ___ for the whole class to see. 14. Instruct students to use their counters and both copies of handout: Ten Frame to solve the given basic fact. Encourage students to use their knowledge of doubles to solve the number sentence page 19 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher displayed. Instruct students to share their strategy for finding the answer with their partner. Ask: Can you demonstrate your answer using the counters? Explain your strategy. Answers may vary. 2 groups of 6 with 1 additional counter, 6 + 6 + 1 = 13; 2 groups of 7 with 1 counter missing, 7 + 7 – 1 = 13; etc. 15. Repeat the same process using additional basic facts such as 5 + 4 = ____ and _____ = 9 + 8. 16. Facilitate a class discussion summarizing how the doubles or doubles plus/minus one strategy is an efficient tool that can be used to easily solve some basic facts. Topics: Retrieve strategies to solve doubles and doubles plus/minus one ATTACHMENTS Card Set: Doubles Flash Cards (1 set per 2 students) Explore/Explain 2 Card Set: Doubles Plus/Minus One Students reinforce the doubles plus/minus one strategy by identifying the process in story problems. Flash Cards (1 set per 2 students) Handout: Ten Frame (2 per 2 students) Instructional Procedures: 1. Prior to instruction, create a set of card set: Doubles Flash Cards for every 2 students by copying on red paper and cutting apart. Additionally, create a set of card set: Doubles Plus/Minus One Flash Cards for every 2 students by copying on yellow paper and cutting apart. Teacher Resource: Flash Card Recording Sheet KEY (1 per teacher) Teacher Resource: Flash Card Recording Sheet (1 per teacher) Handout: Flash Card Recording Sheet 2. Distribute handout: Flash Card Recording Sheet to each student. (1 per student) page 20 of 74 Enhanced Instructional Transition Guide Suggested Day Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Suggested Instructional Procedures 3. Place students in pairs and distribute a set of card set: Doubles Flash Cards, a set of card set: Notes for Teacher MATERIALS Doubles Plus/Minus One Flash Cards, 2 copies of handout: Ten Frame, and 20 counters to each student pair. 4. Instruct student pairs to work together to match a "doubles plus /minus one” fact flash card (yellow card) with a “related doubles” fact flash card (red card) that would help them solve the number sentence. Tell students that the doubles cards may be used more than once. counters (20 per 2 students) paper (1 sheet of red, 1 sheet of yellow) (1 set per 2 students) scissors (1 per teacher) 5. Display teacher resource: Flash Card Recording Sheet and model how students should complete the activity. RESEARCH According to the National Research Council 6. Instruct students to individually record their information from the activity on handout: Flash Card Recording Sheet and write a number sentence strategy that helped them solve the basic fact. (2001), it is important to provide practice after recent learning. The repeated use of practice is 7. Upon completion, assign each student pair a fact from the activity to display for class discussion. essential for developing fluency with students. Instruct each pair to display their fact to the class and explain the strategy they used to solve the The report also warns against the use of timed basic fact. tests until students have had the chance to practice “thinking strategies.” 4 Topics: Spiraling Review Doubles/near doubles Doubles plus/minus one ATTACHMENTS Even/Odd Teacher Resource: Doubles and Near Elaborate 1 Doubles Story Problems KEY (1 per Students use doubles and doubles plus/minus one strategies to solve basic facts that are embedded in teacher) story problems. Handout: Doubles and Near Doubles page 21 of 74 Enhanced Instructional Transition Guide Suggested Day Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Suggested Instructional Procedures Notes for Teacher Story Problems (1 per student) Instructional Procedures: 1. Distribute handout: Doubles and Near Doubles Story Problems to each student. Explain to students that the title, "Near Doubles," refers to the strategies of doubles plus one and doubles minus one. Instruct students to solve the story problem by using their knowledge of doubles and doubles plus/minus one (near doubles), and write a number sentence to show how they solved the problem. Monitor and assess students to check for understanding. 2. Collect handout: Doubles and Near Doubles Story Problems. 3. Instruct students to place the palm of their hands facing each other touching the fingers of each Teacher Resource: Even/Odd Recording Sheet KEY (1 per teacher) Teacher Resource: Even/Odd Recording Sheet (1 per teacher) Handout: Even/Odd Recording Sheet (1 per student) Handout (optional): Ten Frame (1 per student) MATERIALS hand to the other. Ask: deck of 52 playing cards (1 deck per 3 to 4 students, 1 deck per teacher) Does each finger have a partner? (yes) counters (20 per teacher, 20 per student) If so, would the total number of fingers be even or odd? (even) What is the total number of fingers? (10) Can you explain why 10 is an even number? Answers may vary. Since each hand has 5 TEACHER NOTE fingers and every finger has a partner, 5 + 5 = 10, 10 is even; etc. It is important to model even and odd using How can you determine when a number is odd? Answers may vary. When there is 1 object counters and the addition/subtraction process for without a partner, the number is odd; etc. visual learners. Place the counters as they appear on the card and physically move them to 4. Display teacher resource: Even/Odd Recording Sheet for the class to see. Using the teacher deck of playing cards, select and display a “4” card. together to show even and odd. Example: page 22 of 74 Enhanced Instructional Transition Guide Suggested Day Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Suggested Instructional Procedures Notes for Teacher 5. Using teacher resource: Even/Odd Recording Sheet, place 4 counters on the right card in the first row, middle column to represent the “4” card. Ask: To model the addition/subtraction process, students must be able to identify the double. Is 4 an even or odd number? Explain. (Even because each dot has a partner.) Display the counters and cover the “plus one” counter to help students identify the double. 6. Model doubling the “4” card by placing 4 additional counters on the left card in the first row, middle column of teacher resource: Even/Odd Recording Sheet. Ask: Write the double and +1. Example: Is 4 an even or odd number? Explain. (Even because each dot has a partner.) 7. Model recording “even” under the models of both cards on teacher resource: Even/Odd Recording 4+4+1=9 Sheet. Ask: What number sentence represents the cards? (4 + 4 = 8) Is 8 even or odd? Explain. (Even, because each dot has a partner.) Record “even” under the total 8. State Resources TEXTEAMS: Rethinking Elementary Mathematics Part 1: Double More and In and Out Revisited may be used to reinforce these 8. Direct students’ attention to the left column titled “Doubles Minus One” of teacher resource: concepts. Even/Odd Recording Sheet. Again, model the “4” card by placing 4 counters on the right card in the first row of the first column to represent the “4” card. 9. Model doubling the “4” card “minus 1” by placing 3 additional counters on the left card in the first row, first column of teacher resource: Even/Odd Recording Sheet. page 23 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher Ask: Is 4 an even or odd number? Explain. (Even because each dot has a partner.) Is 3 an even or odd number? Explain. (Odd, because each dot does not have a partner.) 10. Model recording “even” under the 4 card and “odd” under the 3 card of teacher resource: Even/Odd Recording Sheet. Ask: What number sentence represents the cards? (4 + 3 = 7) Is 7 even or odd? Explain. (Odd, because there is 1 dot that does not have a partner.) Record “odd” under the total 7. 11. Now, direct students’ attention to the right column titled “Doubles Plus One” of teacher resource: Even/Odd Recording Sheet. Again model the “4” card by placing 4 counters on the right card in the first row, last column to represent the “4” card. 12. Model doubling the “4” card “plus 1” by placing 5 additional counters on the left card in the first row, last column of teacher resource: Even/Odd Recording Sheet. Ask: Is 4 an even or odd number? Explain. (Even because each dot has a partner.) Is 5 even or odd? Explain. (Odd because there is 1 dot that does not have a partner.) 13. Model recording “even” under the 4 card and “odd” under the 5 card of teacher resource: Even/Odd Recording Sheet. page 24 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher Ask: What number sentence represents the cards? (4 + 5 = 9) Is 9 even or odd? Explain. (Odd because there is 1 dot without a partner.) Record “odd” under the total 9. 14. Facilitate a class discussion examining each number sentence, focusing on the pattern of even and odd numbers identified. 15. Distribute handout: Even/Odd Recording Sheet to each student. 16. Place students in groups of 3 – 4 students. Distribute a deck of playing cards to each group and 20 counters to each student. Instruct each student in the group to draw their own card from the deck and complete the first row using the number on their card drawn. Remind students to use counters, if necessary, to model each number, to determine if the numbers are even or odd and to solve the number sentence. When the students have completed the first row, instruct them to draw another card from the deck to complete the second row, and then the third row. Monitor and assess students to check for understanding. 17. Invite various students to display for the class 1 “doubles” number sentence, 1 “doubles minus one” number sentence, and 1 “doubles plus one” number sentence from their handout: Even/Odd Recording Sheet. page 25 of 74 Enhanced Instructional Transition Guide Suggested Day Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Suggested Instructional Procedures Notes for Teacher 18. Facilitate a class discussion on the displayed number sentences. Ask: Observe the number sentences under the Doubles column. What do you notice about adding 2 doubles? Answers may vary. All of the cards have 2 identical sets of pictures; every picture has a partner; the sum of 2 doubles is even; etc. Observe the number sentences under the Doubles Minus One and Doubles Plus One columns. What types of numbers were you adding? (odd and even) What do you notice about the sum when you add an odd and even number together? Answers may vary. One card has 1 picture without a partner so the sum will always be odd; the sum is always odd because all pictures have a partner except for 1; etc. 5 Topics: Spiraling Review Make ten strategy Explore/Explain 3 Students compose and decompose counters to make ten. ATTACHMENTS Handout: Composing and Decomposing Ten Recording Sheet (1 Instructional Procedures: 1. Distribute a cup, 10 two-color counters, a paper plate, and handout: Composing and per student) MATERIALS Decomposing Ten Recording Sheet to each student. page 26 of 74 Enhanced Instructional Transition Guide Suggested Day Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Suggested Instructional Procedures Notes for Teacher cup (small) (1 per student) 2. Model shaking and spilling the counters onto the paper plate and how to record the “picture of spill” and “number sentence” from the spill. For example: two-color counters (10 per student) plate (paper) (1 per student) double nine dominoes (4 sets per teacher) TEACHER NOTE When modeling a situation or action, the order of 3. Review the instructions again verbally. Instruct students to spill the counters from the cup and record their results on handout: Composing and Decomposing Ten Recording Sheet. 4. After students have completed the first round, ask students to share their results with a neighbor. the addends matters. However, when determining the sum of 2 addends, the order of the addends does not matter (the commutative property) 5. Facilitate a class discussion to compare and contrast how their spill was “like” their neighbor’s and how it was “different.” Ask: Did you and your neighbor have the same number of red and yellow counters in your spill? Answers may vary. Did you and your neighbor have the same total when you each added your red and yellow counters together? (yes, 10) Do you think you will each get the same number of red counters and the same number of yellow counters on your next spill? Why or why not? Answers may vary. No, because there are lots of possibilities; etc. How did you use your spill to record a number sentence? Answers may vary. I recorded the number of red counters plus the number of yellow counters and then the total; I recorded page 27 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher the yellow counters first and then the red counters; etc. Does it matter if you record the red counters first and then the yellow counters? (No, you will get the same total either way.) 6. Instruct students to complete a second round of spills. 7. Allow time for students to complete the activity. Instruct students to compare and contrast how their spill was “like” their neighbor’s and how it was “different.” 8. Instruct students to compose a list of all possible spills at the bottom on their handout. 9. Allow time for students to complete their list and select a student volunteer to share their number sentences while the teacher displays the number sentences for the class to see. Record the number sentences so that a pattern becomes apparent. Sample: 10. Facilitate a class discussion and ask: In the list of number sentences, does the order of the addends matter? (no) What patterns do you see in the list of recorded number sentences? Answers may vary. As 1 addend increases the other addend decreases; the sum is always 10; etc. How many number sentences are listed? (9) page 28 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher How many different facts have the sum of ten? (5) Which addition fact represents an addition strategy that you have recently practiced? (5 + 5 = 10, a doubles fact) Are there any near doubles in the list of facts? Why or why not? (no) Answers may vary. To be a near double, 1 addend has to be 1 more or 1 less than the other addend; etc. 11. Allow time for basic facts practice using the following game. Combine 4 sets of double nine dominoes. Distribute 5 dominoes to each student and instruct the students to lay the dominoes face up on their desk. Call out a sum and ask students to turn over all dominoes on their desk that represent a number fact equaling the sum named. Allow no more than 10 seconds for each sum to encourage automaticity. The first student to turn over all 5 of their dominoes is the winner. 6 Topics: Spiraling Review Make ten Compensation ATTACHMENTS Near ten Composition and decomposition Teacher Resource: Double Ten Frame (1 per teacher) Explore/Explain 4 Handout: Double Ten Frame (1 per Students use ten frames to compose and decompose basic fact sums into landmarks of tens. student) Teacher Resource: Make Ten page 29 of 74 Enhanced Instructional Transition Guide Suggested Day Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Suggested Instructional Procedures Instructional Procedures: 1. Place students in pairs, and display teacher resource: Double Ten Frame horizontally for the whole class to see. Ask: How could you describe the Double Ten Frame? How is it similar or different from one ten frame? Answers may vary. 2 sets of 10; double the number of ten frames which would be 20; etc. Notes for Teacher Recording Sheet KEY (1 per teacher) Teacher Resource: Make Ten Recording Sheet (1 per teacher) Handout: Make Ten Recording Sheet (1 per student) MATERIALS counters (20 per 2 students) math journal (1 per student) 2. Distribute handout: Double Ten Frame and 20 counters to each student pair. 3. Explain to students that they will be decomposing numbers to make a 10 and writing each step of the process using number sentences in their math journal. Advise students that they will be shown a quick view of an arrangement of counters on a double ten frame. TEACHER NOTE Rotate the orientation of the double ten frame periodically throughout the lesson. 4. Using teacher resource: Double Ten Frame, briefly (less than 5 seconds) display 1 counter in each of the squares on the top row and 1 counter in 3 of the squares on the bottom row of the first TEACHER NOTE ten frame. In the second ten frame, display 1 counter in each of the squares on the top row. Although students have been exposed to doubles and doubles plus/minus one, many have not made the connection to learning basic facts. Many experiences of physically moving counters to make a 10 and recording the results will lead to numerical fluency. 5. Instruct students to work collaboratively with their partner to arrange their counters to build the structure they observed using their copy of handout: Double Ten Frame. Ex: 8 + 5 = 13 10 + 3 = 13 page 30 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher Ask : TEACHER NOTE How could you describe the structure of counters found within the double ten frame? Answers may vary. I saw 2 rows of 5 counters plus the 3 additional counters; I saw a row of 5, a Record student responses next to the structure for the class to see. row of 3, and another row of 5; etc. 6. Redisplay the original construction of the double ten frame to affirm the students’ descriptions. Ask: What number is being represented in the first ten frame? (8) Is the number even or odd? (even) How do you know? Answers may vary. You can move a counter down to make a pair; etc. Model moving 1 counter down to the next row to make 2 rows of 4. Ask: What number is represented in the second ten frame? (5) Is the number even or odd? (odd) How could you prove the number 5 is odd using your ten frame? Answers may vary. I could take 2 of the counters on the top row and pair them with another counter and there will still be 1 counter left over; with 5 counters there is always 1 counter without a partner; etc. If students do not describe the moving of the 2 counters to fill in a ten frame; remind them of how easy it was to add numbers to 10 from their experiences in Grade 1 and how a ten frame shows a value of 10. Model how easy it would be move 2 counters to complete the ten frame and Model taking 2 counters from the top row and place them on the bottom row below the 2 counters add the 3 remaining counters. already showing. Ask: TEACHER NOTE page 31 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Do you think the sum of 8 and 5 will be even or odd? (odd) How could you arrange the counters to make it easier to calculate the total? Answers may vary. I could take 2 counters from the bottom ten frame to equal 10 on the top ten frame Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher Students may move 3 counters from the bottom to the top to fill a ten frame or move 2 counters from the top to the bottom to fill a ten frame. and add the 3 remaining counters to 10 to equal 13 counters; I could take my ten frame and rotate it to match 5 + 5 = 10 and then add the 3 remaining counters to equal 13 counters; etc. What number sentence could you write that will mathematically communicate the sum of 8 and 5? Answers may vary. 8 + 5 = 13; 10 + 3 = 13; etc. How did you get 13 as the sum? Answers may vary. I took 2 from the 5 and gave it to the 8 to equal 10; 10 plus 3 equals 13; etc. 7. Facilitate a class discussion on decomposing numbers modeling each step for each student to see. Ask: How could the number sentence change to reflect taking 2 from the 5 and adding it to the 8? State Resources MTR K – 5: Think Addition and Speedy Tens may be used to reinforce these concepts. Instruct students to record each step in their math journal. 8. Repeat the process, displaying the following arrangement briefly (less than 5 seconds) using page 32 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher teacher resource: Double Ten Frame. Ask: What number sentence could represent the arrangement? (7 + 8 = 15) How could you write a number sentence showing how to decompose the 7? 8? (I could remove 2 counters from the 7 and add them to the 8 to equal 10; I could remove 3 from the 8 and add them to the 7 to equal 10.) What is the sum of 7 + 8? (5 + 10 = 15 and 10 + 5 = 15) 9. Use teacher resource: Double Ten Frame and counters to model both moves. (see Teacher Note) Ask: Who can explain what making a 10 means as a strategy to add numbers? Answers may vary. Breaking a number apart (decomposing) in one ten frame and moving or adding a part to another ten frame to complete it; etc. 10. Distribute handout: Make Ten Recording Sheet to each student. 11. Instruct student pairs to use their counters and handout: Double Ten Frame to solve the addition problems on the handout: Make Ten Recording Sheet. Using teacher resource: Make Ten Recording Sheet, model how to record the number sentences of each step of the composing page 33 of 74 Enhanced Instructional Transition Guide Suggested Day Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Suggested Instructional Procedures Notes for Teacher and/or decomposing solution process. 12. Allow students time to complete the activity. Select student pairs to demonstrate their processes for making 10 to solve a given addition problem. 7 Topics: Spiraling Review Part-part-whole relationship Commutative property of addition ATTACHMENTS Explore/Explain 5 Teacher Resource: Fact Family Number Students explore the commutative property using a part-part-whole mat. Sentences KEY (1 per teacher) Handout: Fact Family Number Instructional Procedures: 1. Prior to instruction, use a marker to record each of the following, 9, 8, 17, +, – and =, on 6 Sentences (1 per student) MATERIALS separate sheets of plain paper. two-color counters (18 per 2 students, 18 2. Place students in pairs. Distribute 18 two-color counters to each pair. 3. Display 4 red counters and 7 yellow counters for the class to see. Explain to students that the per teacher) sticky notes (2 of 1 color, 1 of another counters represent the number of students in a class. The red counters represent the number of color) (1 set per 2 students, 4 sets per girls and the yellow counters represent the number of boys in a class. Instruct students to use their teacher) counters to represent the number of boys and number of girls in this class scenario. math journal (1 per student) Ask: paper (plain) (6 sheets per teacher) marker (1 per teacher) How many girls are in the class? (4 girls) How many boys are in the class? (7 boys) page 34 of 74 Enhanced Instructional Transition Guide Suggested Day Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Suggested Instructional Procedures Notes for Teacher How many total students are in the whole class? (11 students) TEACHER NOTE How did you determine the total number of students in the class scenario? Answers may Paraphrase student responses to include the vary. I added the number of girls and the number of boys to find the total all of the students in appropriate use of the vocabulary terms sum and the class; I combined all of the red and yellow counters to find the total number of counters; addends. etc. TEACHER NOTE 4. Using the class scenario to begin the discussion of part-part-whole relationship, ask: What number sentence would represent the combining of the number of girls and the number of boys in the class to determine the total number of students in the class? (4 girls + 7 boys = 11 students in the class; 4 + 7 = 11) Be sure to emphasize the commutative property of addition concept: a + b = c and b + a = c. Note, students are not responsible for knowing the name, commutative property. Referencing the two-color counters display of the class scenario, separate the red counters from the yellow counters to explain how the 4 girls (4 red counters) can be added to the 7 boys (7 yellow counters) to determine the total number of students (all of the counters) in the whole class. Create a visual sticky note representation of the number sentence for the class scenario by recording the number of girls and the number of boys on 2 separate sticky notes of the same color and the total number of students on a sticky note of a different color. Next to each sticky note, label what each number represents. Example: 5. Again, using the class scenario to begin to model the commutative property of addition, ask: What number sentence would represent the combining of the number of boys and the number of girls in the class to determine the total number of students in the class? (7 page 35 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher boys + 4 girls = 11 students in the class) Referencing the two-color counters display of the class, separate the yellow counters from the red counters to explain how the 7 boys (7 yellow counters) can be added to the 4 girls (4 red counters) to determine the total number of students (all of the counters) in the whole class. Create a second visual sticky note representation of the number sentence for the class scenario by recording the number of girls and the number of boys on 2 separate sticky notes of the same color and the total number of students on a sticky note of a different color. Next to each sticky note, label what each number represents. Example: 6. Facilitate a class discussion by referencing the 2 sticky note visual number sentence representations on the board. Ask: How are these number sentences alike? Answers may vary. They both show 4 girls, 7 boys, and a total number of 11 students in the class; they both show a total of 11 students in the class; they both have 2 sticky notes of the same color and 1 different colored sticky note; etc. Observe the same colored sticky notes in each number sentence (e.g., the blue sticky notes). What do these numbers represent in the class scenario? Answers may vary. The boys and girls; the addends; the 2 parts; etc. Observe the different colored sticky notes in each number sentence (e.g., the orange sticky note). page 36 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher What does this number represent in the class scenario? Answers may vary. The total number of students; the sum; the whole; etc. How are these number sentences different? Answers may vary. One number sentence has the girls first and then the boys while the other number sentence has the boys first and then the girls; the order of the addends are changed; the parts are changed; etc. What do you notice about the number sentences, 4 + 7 = 11 and 7 + 4 = 11? (They both have the same numbers, 4, 7, and 11.) 7. To model the other fact family members, redirect students’ attention to the displayed twocolor counter representation of the 11 students. Remove the red counters and explain to students that out of the 11 students in the class, the girls decided to leave the room. Ask: What number sentence would represent how many students are in the class now? (11 students – 4 girls = 7 boys) Create a third visual sticky note representation of the number sentence for the class scenario by recording the number of girls and the number of boys on 2 separate sticky notes of the same color and the total number of students on a sticky note of a different color. Next to each sticky note, label what each number represents. Example: What do you notice about the number sentences, 11 – 4 = 7, 4 + 7 = 11 and 7 + 4 = 11? Explain. (They all have the same numbers, 4, 7, and 11.) page 37 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher 8. To model the last fact family member, redirect students’ attention to the displayed twocolor counter class representation replacing the 4 red counters. Referencing the 11 counters, remove the yellow counters and explain to the students that out of the 11 students in the class, the boys decided to leave the room. Ask: What number sentence would represent how many students are in the class now? (11 students – 7 boys = 4 girls) Create a fourth visual sticky note representation of the number sentence for the class scenario by recording the number of girls and the number of boys on 2 separate sticky notes of the same color and the total number of students on a sticky note of a different color. Next to each sticky note, label what each number represents. Example: Ask: How are all of these number sentences alike? (They all show that there are 4 girls, 7 boys, and a total number of 11 students in the class.) How are these number sentences different? Answers may vary. Some number sentences show the combining of the girls and boys to make the whole class and some number sentences show the separating of the boys or girls from the whole class; etc. Explain to students that these 4 numbers sentences are called a “Fact Family” because they are related to each other since they use the same numbers in each number sentence fact. page 38 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher 9. Distribute 2 sticky notes of 1 color and 1 sticky note of another color to each pair of students. Instruct students to use their counters to display 9 red counters and 6 yellow counters. Explain to students that the red counters represent the number of girls in the class and the yellow counters represent the number of boys in the class. Ask: If there are 9 girls and 6 boys in the class, how many students are in the whole class? (15 students) 10. Instruct students to record the number of boys on 1 sticky note and the number of girls on another sticky note of the same color. Then direct students to record the total number of students in the class on 1 sticky note of a different color. Explain to students that they are to create all 4 related number sentences for 9, 6, and 15 by moving the various colored sticky notes and record the “Fact Family” number sentences in their math journal with the appropriate labels (boys, girls, students in class). 11. Allow students time to complete the activity. Select student pairs to demonstrate to model for the class to see each “Fact Family” member and reflect on their process. Ask: What are the 4 fact family number sentences for 9, 6, and 15? (9 girls + 6 boys = 15 students in the class; 6 boys + 9 girls = 15 students in the class; 15 students in the class – 9 girls = 6 boys; 15 students in the class – 6 boys = 9 girls) Why is 9 boys – 15 students = 6 girls not a part of the fact family number sentence? Answers may vary. You cannot subtract a whole class of students from the boys; etc. page 39 of 74 Enhanced Instructional Transition Guide Suggested Day Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Suggested Instructional Procedures Notes for Teacher 12. Select 6 student volunteers, assigning each student a separate sheet of paper: 9, 8, 17, +, – and =. Instruct students to arrange themselves to create 1 fact family number sentence that is related to the numbers 8, 9, and 17. Record the number sentence created by the student volunteers. Instruct the 6 student volunteers to create each of the remaining related number sentences for the class to see. 13. Distribute Handout: Fact Family Number Sentences to each student. Instruct students to use counters to complete the handout individually. 14. Monitor and assess individual students by asking them to share their fact family number sentences and orally explain the relationship of their number sentences to the story problem. 8 Topics: Spiraling Review Part-part-whole Commutative property ATTACHMENTS Fact families Teacher Resource: Parts of Stories KEY Elaborate 2 (1 per teacher) Students use the part-part-whole mat and the fact family strategy to solve story problems. Teacher Resource: Parts of Stories (1 per teacher) Instructional Procedures: 1. Prior to instruction, use a marker to record each of the following, ____, 8, 12, +, – and =, on 6 Handout: Parts of Stories (1 per student) MATERIALS separate sheets of plain paper. Additionally, use a marker to create a part-part-whole mat on a piece of chart paper. chart paper (1 sheet per teacher) marker (1 per teacher) page 40 of 74 Enhanced Instructional Transition Guide Suggested Day Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Suggested Instructional Procedures Notes for Teacher two-color counters (18 per 2 students, 18 per teacher) sticky notes (2 of 1 color , 1 of another color) (4 sets per 2 students, 1 set per teacher) paper (plain) (6 sheets per teacher) 2. Place students in pairs. Distribute 18 two-color counters, 12 sticky notes (8 of 1 color and 4 of a different color), and handout: Parts of Stories to each student pair. 3. Display the part-part-whole mat and teacher resource: Parts of Stories. Chorally read the first problem. Ask: What information do you need to find out? (The total number of pieces of candy in the TEACHER NOTE Model the moving of the different sticky notes from the part-part-whole mat as students reveal different fact family number sentences. Example: bag.) What information do you already know? (There are 6 lollipops and 7 peppermints.) How can you use the two-color counters to represent the problem? Answers may vary. 6 red counters could represent the lollipops and 7 yellow counters could represent the peppermints; etc. 4. Represent the lollipops using 6 red counters and the peppermints using 7 yellow counters for the class to see. Reference the part-part-whole mat displayed. 5. Create 2 sticky notes of the same color, 1 for the 6 lollipops and 1 for the 7 peppermints. Ask students to create the same sticky notes. To determine where to place the sticky notes on the part-part-whole mat, ask: page 41 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher Does the number of lollipops represent a part of the bag of candy or the whole bag of candy? (part of the bag of candy) Where will you record the number of lollipops on the part-part-whole mat? (in 1 part of the mat) Does the number of peppermints represent a part of the bag of candy or the whole bag of candy? (part of the bag of candy) Where will you record the number of peppermints on the part-part-whole mat? (in 1 part of the mat) What is the story problem asking us to find? (The number of pieces of candy in the whole bag.) Where would the total number of pieces of candy in the bag be recorded on the partpart-whole mat? (in the whole part of the mat) 6. Record a question mark on a different colored sticky note and place it on the part-part-whole mat in the “whole” section. Explain to students that since they are trying to find the total number of pieces of candy in the bag, the whole portion of the part-part-whole mat is what the question is asking for us to find. 7. Referencing the partially completed part-part-whole mat on the board, ask: What is a number sentence that would represent how to solve this problem? Explain. (6 lollipops + 7 peppermints =___ total pieces of candy; 6 + 7 = ?) Model for students how to record the number sentence below the part-part-whole mat. Ask: Is there another number sentence that would also represent how to solve the problem? page 42 of 74 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Notes for Teacher Explain. (7 peppermint + 6 lollipops = ___ total pieces of candy; 7 + 6 = ?.) Model for students how to record a second number sentence below the part-part-whole mat. Ask: What are the other 2 related fact family number sentences that relate to the story problem? (_____ total pieces of candy in the candy bag – 7 peppermints = 6 lollipops; ____ total pieces of candy in the candy bag – 6 lollipops = 7 peppermint;, ___ – 6 = 7; ____ – 7 = 6) Model for students how to record the other related number sentences below the part-part-whole mat. 8. Repeat the modeling and questioning process for the second question from handout: Parts of Stories. 9. Instruct students to complete problems 3 and 4 on handout: Parts of Stories with their partner. 10. Monitor and assess students to check for understanding. Allow time for students to complete the activity. Then invite student volunteers to record the fact family number sentences for the whole class to see and orally explain how they are related to the story problem. 11. Select 6 student volunteers, assigning each student a separate sheet of paper: ____, 8, 12, +, – and =. Inform students that the number 12 represents the sum of the problem. Instruct students to arrange themselves to create 1 fact family number sentence that is related to the numbers 8, ___, and 12. Record the number sentence created by the student volunteers. Instruct the 6 student volunteers to create each of the remaining related number sentences for the class to see. Related Fact Families demonstrated should be: 4 + 8 = 12 OR 12 = 4 + 8 page 43 of 74 Enhanced Instructional Transition Guide Suggested Day Grade 2/Mathematics Unit 01: Suggested Duration: 9 days Suggested Instructional Procedures 8 + 4 = 12 Notes for Teacher 12 = 8 + 4 12 – 8 = 4 4 = 12 – 8 12 – 4 = 8 8 = 12 – 4 After all number sentences are recorded, display both sets of number sentences as shown above and ask: Which number sentences are the same? (4 + 8 = 12 and 12 = 4 + 8; 8 + 4 = 12 and 12 = 8 + 4; 12 – 8 = 4 and 4 = 12 – 8; 12 – 4 = 8 and 8 = 12 – 4) Even though the number sentences are the same, how are they different? (The sums are on opposite sides of the equal sign.) 9 Evaluate 1 MATERIALS Instructional Procedures: basic fact cards (1 set per teacher) 1. Assess student understanding of related concepts and processes by using the Performance paper (1 sheet per student) Indicator(s) aligned to this lesson. Performance Indicator(s): Grade2 Mathematics Unit01 PI01 Using a set of basic fact cards, recall the sum or difference of each card and identify the strategy used to solve the fact on paper. Orally explain why that particular strategy was selected and how it helped in quickly finding the sum or difference. Standard(s): 2.3A , 2.5C , 2.12C , 2.13A ELPS ELPS.c.1E , ELPS.c.3D , ELPS.c.3H page 44 of 74 Enhanced Instructional Transition Guide Grade 2/Mathematics Unit 01: Suggested Duration: 9 days 03/25/13 page 45 of 74 Grade 2 Mathematics Unit: 01 Lesson: 01 Doubles/Non-Doubles T-Chart KEY Doubles Non-Doubles (Ace) 1 ©2012, TESCCC 2 3 4 5 6 7 8 9 05/09/12 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Doubles/Non-Doubles T-Chart Doubles ©2012, TESCCC Non-Doubles 05/09/12 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Ten Frame ©2012, TESCCC 05/09/12 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Doubles Picture Cards Picture 1 Picture 2 ©2012, TESCCC Picture 3 05/09/12 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Double Your Fun KEY 1. Describe the picture: 2 rows of 6 eggs *Counter placement may vary. Number Sentence: 6 + 6 = 12 2. Describe the picture: 2 rows of 8 crayons *Counter placement may vary. Number Sentence: 8 + 8 = 16 3. Melissa and Thomas each have 7 lollipops. How many lollipops do they have combined? Describe the picture: 2 groups of 7 lollipops Draw a picture: *Descriptions, drawings, and counter placement may vary. Number Sentence: 7 + 7 = 14 4. Two cars are in a parking lot. How many wheels do they have altogether? Describe the picture: 2 sets of four wheels Draw a picture: *Descriptions, drawings, and counter placement may vary. Number Sentence: 4 + 4 = 8 ©2012, TESCCC 04/03/13 page 1 of 2 Grade 2 Mathematics Unit: 01 Lesson: 01 ©2012, TESCCC 04/03/13 page 2 of 2 Grade 2 Mathematics Unit: 01 Lesson: 01 Double Your Fun 1. Describe the picture: _____ rows of _____ eggs Number Sentence: 2. Describe the picture: _____ rows of _____ crayons Crayons Number Sentence: 3. Melissa and Thomas each have 7 lollipops. How many lollipops do they have combined? Describe the picture: Draw a picture: Number Sentence: 4. Two cars are in a parking lot. How many wheels do they have altogether? Describe the picture: Draw a picture: Number Sentence: ©2012, TESCCC 03/20/13 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Doubles Story Problems KEY Directions: Draw a picture and write a number sentence that matches your story problem. 1. Shelbie made a bracelet using five gold 2. If there are seven days in a week, how beads and five purple beads. How many days are there in two weeks? many beads were on her bracelet? Draw a picture: Draw a picture: Pictures may vary Pictures may vary Number Sentence: 5 + 5 = 10 Number Sentence: 7 + 7 = 14 3. An octopus has eight legs, how many legs would there be if there are two of them? 4. A semi-truck has nine wheels on each side of the truck. How many wheels does a semi-truck have altogether? Draw a picture: Draw a picture: Pictures may vary. Pictures may vary Number Sentence: 8 + 8 = 16 ©2012, TESCCC Number Sentence: 9 + 9 = 18 05/09/12 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Doubles Story Problems Directions: Draw a picture and write a number sentence that matches your story problem. 1. Shelbie made a bracelet using five gold 2. If there are seven days in a week, how beads and five purple beads. How many days are there in two weeks? many beads were on her bracelet? Draw a picture: Draw a picture: Number Sentence: _________________ Number Sentence: _________________ 3. An octopus has eight legs, how many legs would there be if there are two of them? 4. A semi-truck has nine wheels on each side of the truck. How many wheels does a semi-truck have altogether? Draw a picture: Draw a picture: Number Sentence: _________________ Number Sentence: _________________ ©2012, TESCCC 05/09/12 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Pictorial of Hands #1 ©2012, TESCCC 03/20/13 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Pictorial of Hands #2 ©2012, TESCCC 03/20/13 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Doubles Flash Cards (copy on red paper and cut apart) 6+6= 8+8= 2+2= 7 +7 5 +5 4 +4 3+3= 1 +1 9+9= ©2012, TESCCC 05/10/12 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Doubles Plus/Minus One Flash Cards (run on yellow paper and cut apart) 6 +7 7+8= 3 +2 6 +5 8+9= 4 +3 ©2012, TESCCC 05/10/12 2 +1 4+5= page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Flash Card Recording Sheet KEY Doubles Plus/Minus One Fact (yellow) Related Doubles Fact (red) Strategy Number Sentence 6 +7 6 + 6 = 12 or 7 + 7 = 14 6 + 6 + 1 = 13 or 7 + 7 – 1 = 13 6 + 7 = 13 8 + 8 = 16 or 7 + 7 = 14 8 + 8 – 1 = 15 or 7 + 7 + 1 = 15 7 + 8 = 15 1+1=2 or 2+2=4 1+1+1=3 or 2+2–1=3 2+1=3 5 + 5 = 10 or 6 + 6 = 12 5 + 5 + 1 = 11 or 6 + 6 – 1 = 11 6 + 5 = 11 4+4+1=9 or 5+5–1=9 4+5=9 9 + 9 – 1 = 17 or 8 + 8 + 1 = 17 8 + 9 = 17 3+3+1=7 or 4+4–1=7 4+3=7 2+2+1=5 or 3+3–1=5 3+2=5 7+8= 2 +1 6 +5 4+5= 4 +4 8 8+9= 4 +3 3 +2 ©2012, TESCCC or 5 +5 10 9 + 9 = 18 or 8 + 8 = 16 3 + 3 = 6 or 2 +2 4 or 4 +4 8 3+3=6 05/10/12 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Flash Card Recording Sheet Doubles Plus/Minus One Fact (yellow) ©2012, TESCCC Related Doubles Fact (red) 05/10/12 Strategy Number Sentence page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Doubles and Near Doubles Story Problems KEY Directions: Record the appropriate number sentence to solve the story problem. Then record another number sentence to show the strategy, doubles or doubles plus/minus one, that you used to solve the problem. 1. Mr. Acosta has 8 girls and 9 boys in his third grade class. How many students are in Mr. Acosta’s class? 1. It took a painter 5 days to paint the outside of a house and 6 days to paint the inside of the house. How many days did it take the painter to complete the house? 8 + 9 = 17 5 + 6 = 11 Doubles Plus One: 8 + 8 = 16 and 16 + 1 = 17 Doubles Minus One: 9 + 9 = 18 and 18 – 1 = 17 Doubles Plus One: 5 + 5 = 10 and 10 + 1 = 11 Doubles Minus One: 6 + 6 = 12 and 12 – 1 = 11 3. My mom bought a bag of fruit. 4. Michelle watched four hours of There were seven oranges and television on Saturday and four six apples. How many pieces of hours of television on Sunday. fruit were in the bag? How many hours of television did Michelle watch this weekend? 7 + 6 = 13 4+4=8 Doubles Plus One: 6 + 6 = 12 and 12 + 1 = 13 Doubles Minus One: 7 + 7 = 14 and 14 – 1 = 13 Doubles ©2012, TESCCC 04/04/13 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Doubles and Near Doubles Story Problems Directions: Record the appropriate number sentence to solve the story problem. Then record another number sentence to show the strategy, doubles or doubles plus/minus one, that you used to solve the problem. 1. Mr. Acosta has 8 girls and 9 boys in his third grade class. How many students are in Mr. Acosta’s class? 2. It took a painter 5 days to paint the outside of a house and 6 days to paint the inside of the house. How many days did it take the painter to complete the house? 3. My mom bought a bag of fruit. 4. Michelle watched four hours of There were seven oranges and television on Saturday and four six apples. How many pieces of hours of television on Sunday. fruit were in the bag? How many hours of television did Michelle watch this weekend? ©2012, TESCCC 04/04/13 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Even/Odd Recording Sheet KEY Answers may vary depending on the cards drawn. Doubles Minus One __4__ + __3__ = __7__ even odd odd __5__ + __4__ = __9__ odd even odd ____ + ____ = ____ ©2012, TESCCC Doubles Doubles Plus One __4__ + __4__ = __8__ __4__ + __5__ = __9__ even even even __5__ + __5__ = __10__ odd odd even ____ + ____ = ____ 04/04/13 even odd odd __5__ + __6__ = __11__ odd even odd ____ + ____ = ____ page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Even/Odd Recording Sheet Doubles Minus One Doubles Doubles Plus One ____ + ____ = ____ ____ + ____ = ____ ____ + ____ = ____ ____ + ____ = ____ ____ + ____ = ____ ____ + ____ = ____ ____ + ____ = ____ ____ + ____ = ____ ____ + ____ = ____ ©2012, TESCCC 05/10/11 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Composing and Decomposing Ten Recording Sheet Picture of Spill Number Sentence Example: 7 yellow + 3 red = 10 counters 1. 2. 3. 4. 5. ©2012, TESCCC 05/10/12 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Double Ten Frame ©2012, TESCCC 05/10/12 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Make Ten Recording Sheet KEY (Note: Arrangements in Ten Frames may vary.) Basic Fact Double Ten Frame Make a Ten Number Sentence 3 + 9 = ____ 2 + 1 + 9 = ___ 2 + 10 = 12 or 3 + 9 = ____ 3 + 7 + 2 = ____ 10 + 2 = 12 3 + 9 = ____ 6 +7 6 + 7 = ____ 6 + 4 + 3 = ____ 10 + 3 = 13 or 6 + 7 = _____ 3 + 3 + 7 = ______ 3 + 10 = 13 8 +5 8 + 5 = ____ 8 + 2 + 3 = ____ 10 + 3 = 13 or 8 + 5 = _____ 3 + 5 +5 = _____ 3 + 10 = 13 ©2012, TESCCC 05/10//12 page 1 of 2 Grade 2 Mathematics Unit: 01 Lesson: 01 Make Ten Recording Sheet KEY (Note: Arrangements in Ten Frames may vary.) Basic Fact Double Ten Frame Make a Ten 6 + 8 = ____ 4 + 2 + 8 = ____ 4 + 10 = 14 or 6 + 8 = ____ 6 + 4 + 4 = ____ 10 + 4 = ____ 6 +8 9 + 8 = ____ 9 + 1 + 7 = ____ 10 + 7 = 17 or 9 + 8 = ____ 7 + 2 + 8 = ____ 7 + 10 = 17 9 + 8 = ___ ____ = 7 + 9 ____ = 7 + 3 + 6 16 = 10 + 6 or ____= 7 + 9 ____ = 6 + 1 + 9 16 = 6 + 10 ___ = 7 + 9 ©2012, TESCCC Number Sentence 05/10//12 page 2 of 2 Grade 2 Mathematics Unit: 01 Lesson: 01 Make Ten Recording Sheet Basic Fact Double Ten Frame Make a Ten Number Sentence 3 + 9 = ____ 6 +7 8 +5 ©2012, TESCCC 05/10/12 page 1 of 2 Grade 2 Mathematics Unit: 01 Lesson: 01 Make Ten Recording Sheet Basic Fact Double Ten Frame Make a Ten Number Sentence 6 +8 9 + 8 = ___ ___ = 7 + 9 ©2012, TESCCC 05/10/12 page 2 of 2 Grade 2 Mathematics Unit: 01 Lesson: 01 Fact Family Number Sentences KEY Directions: Read the story problem and use your counters to represent the problem. Then list all possible number sentences for the fact family. 1. Coach Harris has a tub of 14 balls 2. Grandma Kathy received a dozen for the students to play with at lunch flowers for her birthday. The time. There are 8 basketballs and 6 bouquet of flowers had 4 roses and 8 carnations. footballs in the tub. 8 basketballs + 6 footballs = 14 total balls 4 roses + 8 carnations = 12 total flowers 6 footballs + 8 basketballs = 14 total balls 8 carnations + 4 roses = 12 total flowers 14 total balls – 8 basketballs = 6 footballs 12 total flowers – 8 carnations = 4 roses 14 total balls – 6 footballs = 8 basketballs 12 total flowers – 4 roses = 8 carnations 1. Mrs. Wolf has 18 pens in her desk 2. The ice cream man sold a total of 14 drawer. She has 11 black pens and 7 ice cream treats after school. He red pens. sold 5 popsicles and 9 ice cream bars. 11 black pens + 7 red pens = 18 total pens 7 red pens + 11 black pens = 18 total pens 18 total pens – 7 red pens = 11 black pens 18 total pens – 11 black pens = 7 red pens ©2012, TESCCC 5 popsicles + 9 ice cream bars = 14 treats 9 ice cream bars + 5 popsicles = 14 treats 14 treats – 9 ice cream bars = 5 popsicles 14 treats – 5 popsicles = 9 ice cream bars 05/10/12 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Fact Family Number Sentences Directions: Read the story problem and use your counters to represent the problem. Then list all possible number sentences for the fact family. 1. Coach Harris has a tub of 14 balls 2. Grandma Kathy received a dozen for the students to play with at lunch flowers for her birthday. The time. There are 8 basketballs and 6 bouquet of flowers had 4 roses and footballs in the tub. 8 carnations. ___ basketballs + ___ footballs = ___ total balls ___ roses + ___ carnations = ___ total flowers __ footballs + ___ basketballs = ___ total balls ___ carnations + ___ roses = ___ total flowers ___ total balls – ___ basketballs = ___ footballs ___ total flowers – ___ carnations = ___ roses ___ total balls – ___ footballs = ___ basketballs ___ total flowers – ___ roses = ___ carnations 3. Mrs. Wolf has 18 pens in her desk 4. The ice cream man sold a total of 14 drawer. She has 11 black pens and 7 ice cream treats after school. He red pens. sold 5 popsicles and 9 ice cream bars. ©2012, TESCCC 05/10/12 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Parts of Stories KEY Directions: Read the story problem, use counters to represent the problem, complete the part-part-whole mat, and identify the number sentence related to the story. Then list all possible number sentences for the fact family. 1. Marc has a candy bag with 6 lollipops and 7 peppermints. How many pieces of candy are in the bag? Part Part 6 7 lollipops 2. Michaela needs to read 17 pages in her book. If she has already read 9 pages, how many more pages does she need to read? Part Part 9 8 pages already read pages needed to read Whole peppermints Whole 17 13 total pages to read total number of pieces of candy 6 + 7 = 13 7 + 6 = 13 13 – 7 = 6 13 – 6 = 7 3. There should be 14 buttons on John’s shirt. If 8 buttons are on the shirt, how many buttons are missing? 9 + 8 = 17 8 + 9 = 17 17 – 9 = 8 17 – 8 = 9 4. James has eight erasers. If his friend gives him five more, how many erasers does James have altogether? Part Part Part Part 8 buttons on the shirt 6 buttons missing 8 erasers James has 5 erasers James was given Whole Whole 14 13 total number of erasers James has total buttons the shirt should have 8 + 5 = 13 5 + 8 = 13 13 – 8 = 5 13 – 5 = 8 8 + 6 = 14 6 + 8 = 14 14 – 8 = 6 14 – 6 = 8 ©2012, TESCCC 05/10/12 page 1 of 1 Grade 2 Mathematics Unit: 01 Lesson: 01 Parts of Stories Directions: Read the story problem, use counters to represent the problem, complete the part-part-whole mat, and identify the number sentence related to the story. Then list all possible number sentences for the fact family. 1. Marc has a candy bag with 6 lollipops and 7 peppermints. How many pieces of candy are in the bag? Part 2. Michaela needs to read 17 pages in her book. If she has already read 9 pages, how many more pages does she need to read? Part Part Part Whole pages already read pages needed to read Whole total number of pieces of candy total pages to read lollipops peppermints 3. There should be 14 buttons on John’s shirt. If 8 buttons are on the shirt, how many buttons are missing? Part 4. James has eight erasers. If his friend gives him five more, how many erasers does James have altogether? Part Part Whole ©2012, TESCCC Part Whole 05/10/12 page 1 of 1
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