MATH | LEVEL 2 Student Edition Sample Page Name __________________________________________ Unit 6 Introduction Standard 2.NBT.A.2 1. Melissa counts forward by ones from 497. What numbers does she say? 497, 498, , 4. Skip count by tens from 200. What is the missing number? , 200, 210, , 230, 240 5. Maya skip counted to find the number of flowers in these vases. 2. Mr. Slade puts boxes of colored pencils on a table. Each box has 10 colored pencils. Skip count by fives. How many flowers did Maya count? Skip count by tens. How many colored pencils does Mr. Slade have? Answer ____________________________ Answer ____________________________ 6. Skip count by hundreds from 400. What numbers come next? 400, 3. Nathan has a quarter and 4 nickels. He starts at 25 and counts by 5 to find the value of his coins. What numbers does Nathan count? 25, , , , , , 7. Fred counts back by ones from 503. What are the first 4 numbers he says? 503, , , , Words for the Wise count back digit mentoringminds.com mentoringminds.com hundreds pattern place value skip count motivationmath™LEVEL 2 tens ILLEGAL TO COPY 37 MATH | LEVEL 2 Student Edition Sample Page Name __________________________________________ Unit 6 Partner Practice Standard 2.NBT.A.2 1. Count back by ones. What number is missing? 3. Mrs. Holmes has 5 boxes of crayons on her desk. Each box holds 10 crayons. 642, 641, 640, 10 A 645 B 643 10 C 639 D 638 10 10 10 Skip count by tens. How many crayons does Mrs. Holmes have on her desk? A5 2. Heather uses counters to form a pattern on a hundred chart. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 B 15 C 25 D 50 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Heather continues the pattern. On which number does she put the next counter? A 40 A 300, 400, 500, 600 B 300, 310, 320, 330 C 300, 305, 310, 315 B 45 D 300, 302, 304, 306 C 50 E 600, 700, 800, 900 D 55 38 4. Ravi skip counts by hundreds. Select two answers that show skip counting by hundreds. ILLEGAL TO COPY mentoringminds.com motivationmath™LEVEL 2 mentoringmindsonline.com MATH | LEVEL 2 Student Edition Sample Page Name __________________________________________ Unit 6 Independent Practice Standard 2.NBT.A.2 1. Tiana gives 5 marbles to each of her 7 friends. 4. Regina counts forward by hundreds. 200, 300, , 500, Which two numbers are missing? A 400, 600 B 400, 700 Skip count by fives. How many marbles does Tiana give to her friends? A 30 C 40 B 35 D 45 D 600, 700 5. Ricky forms a pattern on a hundred chart with counters. 2. Ned counts forward by ones. 576, 577, 578, C 500, 600 , What are the next two numbers Ned says? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 A 580, 590 C 578, 580 51 52 53 54 55 56 57 58 59 60 B 580, 585 D 579, 580 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 3. Which two answers show skip counting by tens? A 80, 90, 100, 200 B 370, 380, 390, 400 C 500, 505, 510, 520 D 790, 800, 810, 820 mentoringminds.com mentoringminds.com Ricky continues the pattern. Where does he put the next counter? A 70 B 65 C 60 D 55 motivationmath™LEVEL 2 ILLEGAL TO COPY 39 MATH | LEVEL 2 Student Edition Sample Page Name __________________________________________ Unit 6 Assessment Standard 2.NBT.A.2 1. David counts forward by hundreds from 600. What numbers come next? , 600, 3. Marvin puts 10 lemons in each bag. , A 602, 604, 606 B 605, 610, 615 C 610, 620, 630 Skip count by tens. How many lemons does Marvin put in all 7 bags? D 700, 800, 900 2. Which two answers best show skip counting by fives? A 205, 215, 225, 235 B 390, 395, 400, 405 A 80 C 17 B 70 D 10 4. Count forward by ones. What number is missing? 268, 269, C 440, 445, 450, 455 D 595, 600, 610, 620 , 271, 272 A 267 C 273 B 270 D 280 5. Sarah and Tara each arrange 40 shells on a poster board in equal rows. Sarah arranges her shells in rows of 10. Tara arranges her shells in rows of 5. Sarah skip counts her rows. What numbers does she call? Answers __________________________________________ Tara skip counts her rows. What numbers does she call? Answers __________________________________________ 40 ILLEGAL TO COPY mentoringminds.com motivationmath™LEVEL 2 mentoringmindsonline.com MATH | LEVEL 2 Student Edition Sample Page Name __________________________________________ Unit 6 Critical Thinking Standard 2.NBT.A.2 Analysis 1 Monte uses a hundred chart to show counting patterns. He shades the numbers he counts. Analyze He starts at 24 and counts by tens. Count with Monte and shade the numbers on the chart. What numbers does Monte shade? 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 Describe a pattern that you see in Monte’s numbers. 91 92 93 94 95 96 97 98 99 100 __________________________________________________________________________ __________________________________________________________________________ If Monte starts at 24 and counts by hundreds, what are the next five numbers he will call? 24, , , , , Describe a pattern that you see in Monte’s numbers. __________________________________________________________________________ __________________________________________________________________________ Analysis Journal Explain how skip counting is like addition. Analyze ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ mentoringminds.com mentoringminds.com motivationmath™LEVEL 2 ILLEGAL TO COPY 41 MATH | LEVEL 2 Student Edition Sample Page Name __________________________________________ Unit 6 Motivation Station Standard 2.NBT.A.2 Animal Dot-to-Dot Compete the “Animal Dot-to-Dot.” Skip count by fives from 5 to 300. When you finish connecting the dots, color the picture. 290 275 265 255 260 15 10 295 280 270 285 250 300 5 30 40 25 20 35 50 45 55 245 235 240 60 65 230 70 225 75 215 220 85 210 205 200 80 90 195 105 190 110 180 185 175 95 100 120 165 135 160 170 155 140 150 145 115 125 130 Parent Activities 1. Have your child put small objects such as paper clips into groups of 5 or 10 and skip count to find the total number of objects. 2. Gather a handful of dimes, and ask your child to skip count to determine the total value of the coins. Repeat with nickels. Discuss how skip counting can be used to find the total value of $5, $10, or $100 bills. 42 ILLEGAL TO COPY mentoringminds.com motivationmath™LEVEL 2 mentoringmindsonline.com MATH | LEVEL 2 Teacher Edition Sample Page Unit 6 Count and Skip Count Within 1000 Standard 2.NBT.A.2 Unit 6 Standards (Student pages 37–42) Common Core State Standards for Mathematical Content: 2.NBT.A.2 Domain Cluster Standard Number and Operations in Base Ten Understand place value. 2.NBT.A.2 Count within 1000; skip-count by 5s, 10s, and 100s. Other Standards Addressed in This Unit 2.NBT.A.1, 2.NBT.B.8, 1.NBT.C.5 Common Core State Standards for Mathematical Practice Addressed in This Unit MP.1 MP.2 MP.4 MP.6 MP.7 MP.8 Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Model with mathematics. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Unpacking the Standards In kindergarten, students counted to 100 by ones and tens. In grade 1, students counted to 120, beginning with any number less than 120, and worked with multiples 10 to 90. In grade 2, students count within 1000 and also skip count by 5s, 10s, and 100s. It is important to note that students count by ones within 1000, beginning with any number. Students may also be asked to count back from a given number (e.g., If you count back from 500, what are the first five numbers you will say?). Student work with skip counting provides important prerequisite skills for the development of multiplication concepts and the recognition and understanding of numerical patterns. Skip counting with 10s and 100s also reinforces place value concepts. mentoringminds.com mentoringminds.com motivationmath™LEVEL 2 ILLEGAL TO COPY 77 MATH | LEVEL 2 Teacher Edition Sample Page Unit 6 Count and Skip Count Within 1000 Standard 2.NBT.A.2 Getting Started Introduction Activity The teacher reads the book Skip Count by 5, It’s No Jive! by Tracy Kompelien. After listening to the story, students name examples of groups of 5 from the book (pennies, fingers, toes) and list them on the board. Students then name other examples of things that come in groups of 5, such as arms on a starfish. These suggestions are added to the list. The teacher calls four children to come to the front of the classroom and stand side by side facing the class, holding up their hands with their fingers spread. Another student comes forward and skip counts the number of fingers on each hand by fives to find the total number of fingers. The teacher and students record the numbers called on hundred charts. (DOK 1, Bloom’s Level: Comprehension/Understand) Suggested Formative Assessment The teacher listens to student responses to assess understanding of skip counting by 5s. Then students are given a number from which to begin skip counting, such as 25, and they skip count by 5s from that number to another given number, such as 80, with a partner. The teacher repeats with larger starting numbers until students are comfortable with skip counting by 5s. (DOK 2, Bloom’s Level: Application/Apply) Children’s Literature Connections Bunches of Buttons: Counting by 10s – Michael Dahl Lots of Ladybugs!: Counting by Fives – Michael Dahl Monarch Migration: Counting by 10s – Megan Atwood Plenty of Petals: Counting by Tens – Michael Dahl Skip Count by 5, It’s No Jive! – Tracy Kompelien Skip Count by 10, Let’s Do It Again! – Tracy Kompelien Speed, Speed, Centipede!: Counting by Tens – Michael Dahl Tail Feather Fun: Counting by Tens – Michael Dahl Toasty Toes: Counting by Tens – Michael Dahl 78 ILLEGAL TO COPY mentoringminds.com motivationmath™LEVEL 2 mentoringmindsonline.com MATH | LEVEL 2 Teacher Edition Sample Page Unit 6 Count and Skip Count Within 1000 Standard 2.NBT.A.2 Vocabulary Focus The following are essential vocabulary terms for this unit. count back pattern skip count digit place value tens hundreds Vocabulary Activity Map It Out The teacher provides a web diagram to organize counting and skip counting vocabulary and concepts. The teacher displays the following words, phrases, and lists, and draws the web diagram with the top oval of the diagram labeled “count.” All the other ovals are left blank. The teacher challenges students to place the remaining words, phrases, and lists in the diagram, guiding them as needed, until the web is completed. • skip count • 0, 10, 20, 30, 40 • 0, 5, 10, 15, 20 • by fives • by hundreds • 0, 100, 200, 300, 400 • count forward by ones • by tens count count forward by ones skip count • 0, 1, 2, 3, 4 (DOK 2, Bloom’s Level: Analysis/Analyze) 0, 1, 2, 3, 4 by fives by tens by hundreds 0, 5, 10, 15, 20 0, 10, 20, 30, 40 0, 100, 200, 300, 400 Suggested Formative Vocabulary Assessment Students demonstrate their understanding of the vocabulary terms by giving examples of skip counting and then writing sentences that describe patterns in the examples. Students select one example and form groups with other students who selected the same type of skip counting. Students then discuss with their groups the different patterns they found for the example. Students who used unique examples form a group and discuss the kinds of patterns they found. The teacher informally observes and listens to students as they complete the web diagram and participate in group discussions. The teacher uses the information gathered to assess students’ understanding of the vocabulary terms, correcting them as needed. (DOK 1, Bloom’s Level: Comprehension/Understand) mentoringminds.com mentoringminds.com motivationmath™LEVEL 2 ILLEGAL TO COPY 79 MATH | LEVEL 2 Teacher Edition Sample Page Unit 6 Count and Skip Count Within 1000 Standard 2.NBT.A.2 Suggested Instructional Activities 1. The teacher displays a large number line with 10 to 15 interval marks between the arrows at each end of the number line. The teacher uses sticky notes to label the first three interval marks to establish a pattern (such as 120, 130, 140) and then randomly labels a few more of the interval marks, leaving several unlabeled. The teacher invites students, one at a time, to affix a sticky note with the missing number below an unlabeled interval mark. The activity is repeated with different numbers and patterns, including patterns of ones, fives, tens, and hundreds. (DOK 2, Bloom’s Level: Analysis/Analyze) 2. The teacher creates sets of index cards for students to practice identifying the pattern in a set of numbers. On each of three cards, the teacher writes “Skip count by 5s,” “Skip count by 10s,” and “Skip count by 100s.” Students place those cards faceup in a row. On the remaining cards, the teacher writes patterns that illustrate skip counting (i.e., “405, 410, 415, 420, 425” or “600, 700, 800, 900, 1000”). Students shuffle and sort the cards by placing each card under the appropriate category. After students complete the activity, the teacher asks the students to explain how they determined the location for each card. (DOK 2, Bloom’s Level: Analysis/Analyze) 3. The teacher creates a deck of 40 cards by writing a number between 100 and 200 that occurs when skip counting by 5s or 10s (such as 140, 155, or 200). In groups of 2 or 3, students shuffle and deal the cards facedown to each student until everyone has an equal number of cards. Then students turn over their cards and use them to make as many skip counting patterns as possible, using each card only once. A pattern must include at least 3 cards. The student who forms the most patterns with his or her cards wins. (DOK 2, Bloom’s Level: Analysis/Analyze) 4. The teacher provides a page with 2 hundred charts, each numbered from 1 to 100, to each student. On one chart, students shade the numbers they say when skip counting by 5s. On the other chart, students shade the numbers they say when skip counting by 10s. Students describe each pattern and explain how the two patterns are similar and how they are different. Next, the teacher distributes a page containing 4 small hundred charts. The first chart is numbered from 1 to 100. The second chart is numbered from 101 to 200. The third chart is numbered from 201 to 300, and the fourth chart is numbered from 301 to 400. Students shade numbers in the charts to show the numbers they say when skip counting by 100s. The teacher asks a volunteer to describe the pattern of shading on the page. Then, the teacher asks a volunteer to describe a second worksheet that continues the pattern to 800. (DOK 1, Bloom’s Level: Application/Apply) 80 ILLEGAL TO COPY mentoringminds.com motivationmath™LEVEL 2 mentoringmindsonline.com MATH | LEVEL 2 Teacher Edition Sample Page Unit 6 Count and Skip Count Within 1000 Standard 2.NBT.A.2 Suggested Formative Assessment Students use a hundred chart labeled from 501 to 600. They use crayons to mark a red stripe on the number called when skip counting by 5s. On the same chart, each student marks a blue stripe on the number called when skip counting by 10s. Students write a sentence describing the patterns formed. (DOK 2, Bloom’s Level: Analysis/Analyze) Suggested Reflection/Closure Activity Students write answers to the following questions in math journals. • What does it mean to skip count? • Why do you think we use the word “skip” in skip counting? • Why do you think we skip count some groups of objects rather than counting them by ones? (DOK 2, Bloom’s Level: Comprehension/Understand) Suggested Formative Assessment Students engage in a partner activity while skip counting by 5s. Partners face each other and “whisper count” by ones. When partners reach a number that is said when skip counting by 5s, they “high ten” one another and say the number loudly. The activity may be repeated for skip counting by 10s. The teacher observes student responses to assess understanding. (DOK 2, Bloom’s Level: Comprehension/Understand) Interventions 1. Students use geoboards to investigate counting by groups of 5. Students place rubber bands around 5 pegs in each row. After they place the rubber bands, students skip count each row by 5s to find the total number of pegs contained by the rubber bands. To extend the counting, pairs or groups of students can line up multiple geoboards. (DOK 1, Bloom’s Level: Application/Apply) 2. The teacher provides students a set of craft sticks and rubber bands. Students use the rubber bands to make bundles of 5 craft sticks. Students count the bundles aloud by 5s to find the total number of craft sticks. Students repeat the activity by making bundles of 10 and skip counting by 10s. (DOK 1, Bloom’s Level: Application/Apply) mentoringminds.com mentoringminds.com motivationmath™LEVEL 2 ILLEGAL TO COPY 81 MATH | LEVEL 2 Teacher Edition Sample Page Unit 6 Count and Skip Count Within 1000 Standard 2.NBT.A.2 3. The teacher provides students with base 10 blocks, including ten rods/longs and hundred flats. Students place rods/longs one at a time in a row, skip counting aloud by 10s as they place each ten. They repeat the activity using hundred flats and skip count aloud by 100s. (DOK 1, Bloom’s Level: Comprehension/Understand) 4. The teacher places a 1–100 number line (commercially available or made on butcher paper and laminated) on the floor. Students literally “skip” as they count by 5s or 10s along the number line. Students say the numbers as they skip count. (DOK 1, Bloom’s Level: Comprehension/Understand) Suggested Formative Assessment Teacher observations should indicate whether students are struggling with the concept of skip counting. Students may record their work for the above activities as appropriate, such as shading squares on grid paper when using base 10 blocks. Students may then write the pattern of numbers beside each representation and describe the pattern. (DOK 1, Bloom’s Level: Application/Apply) Extending Student Thinking Students create, extend, and complete patterns that require them to skip count backward. The teacher shows several examples and asks them to create skip-counting patterns that include decreasing numbers with missing terms. Then students exchange their patterns with a partner and complete each other’s patterns. After the activity, the students record the answers to the following questions. • What strategies did you use to create and solve each pattern? • Did you use addition or subtraction? Examples: • 275, 270, 265, 260, • 105, 100, • 700, • , , 90, 85, , , , , 400, 300, , 100 , 450, , 430, 420, , (DOK 2, Bloom’s Level: Analysis/Analyze) 82 ILLEGAL TO COPY mentoringminds.com motivationmath™LEVEL 2 mentoringmindsonline.com MATH | LEVEL 2 Teacher Edition Sample Page Unit 6 Count and Skip Count Within 1000 Standard 2.NBT.A.2 Answer Key and Codings Page Question 37 38 39 40 Answer DOK Bloom’s Original/Revised Level 1 499, 500, 501 2 80 pencils 1 Knowledge/Remember 1 Comprehension/Understand 3 30, 35, 40, 45 2 Application/Apply 4 220 1 Knowledge/Remember 5 25 flowers 2 Comprehension/Understand 6 500, 600, 700 1 Comprehension/Understand 7 502, 501, 500, 499 1 Comprehension/Understand 1 C 1 Comprehension/Understand 2 B 2 Comprehension/Understand 3 D 1 Comprehension/Understand 4 A and E 2 Comprehension/Understand 1 B 1 Comprehension/Understand 2 D 1 Knowledge/Remember 3 B and D 2 Comprehension/Understand 4 A 1 Knowledge/Remember 5 C 2 Comprehension/Understand 1 D 1 Knowledge/Remember 2 B and C 2 Comprehension/Understand 3 B 1 Comprehension/Understand 4 B 1 Knowledge/Remember 5 Sarah: 10, 20, 30, 40 Tara: 5, 10, 15, 20, 25, 30, 35, 40 1 Comprehension/Understand mentoringminds.com mentoringminds.com motivationmath™LEVEL 2 ILLEGAL TO COPY 83 MATH | LEVEL 2 Teacher Edition Sample Page Unit 6 Count and Skip Count Within 1000 Standard 2.NBT.A.2 Answer Key and Codings Page Question 1 41 Journal DOK Bloom’s Original/Revised Level Answer 24, 34, 44, 54, 64, 74, 84, 94 Descriptions of patterns may vary. 24, 124, 224, 324, 424, 524 Descriptions of patterns may vary. 2 Analysis/Analyze Answers will vary. When you skip count by a number, such as 5, it is the same as adding 5 each time to each number to get the next number in the pattern. 2 Analysis/Analyze 1 Comprehension/Understand 265 275 290 15 295 280 270 285 255 260 300 250 30 10 5 25 35 20 40 50 45 55 245 235 240 60 65 70 230 225 42 Motivation Station 75 85 220 215 210 205 200 195 105 190 110 180 185 175 ILLEGAL TO COPY mentoringminds.com 95 100 120 165 135 160 170 84 80 90 155 140 150 145 125 115 130 motivationmath™LEVEL 2 mentoringmindsonline.com
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