st 1 Grade Math Curriculum Guide Developed in conjunction with Rev 8/13 1st Grade Mathematics Course Outline Trimester 1(August 27 to November 20, 2013) Topic 1: Numbers to 50, Chapters 1, 2 Time Frame: 3 weeks (Aug 27-Sept 20) Subtopics: Count, read and write to 50; numbers & number parts; before, after, between; compare and order using symbols; one more, one less Topic 2: Addition Numbers to 10, Chapters 3, 4, 5 Time Frame: 4 weeks (Sept 23-Oct 18) Subtopics: The concept of addition; understanding and knowing addition facts; use of symbols; multiple representations; use a number line to add; draw to add; add vertically; add doubles; add with zero Topic 3: Relate Addition and Subtraction Numbers to 10, Chapters 6, 7, 8, 9 Time Frame: 5 weeks (Oct 21-Nov 22) Subtopics: The concept of subtraction; draw to subtract; use of symbols; multiple representations; use a number line to subtract; subtract to compare; use addition to subtract; check subtraction with addition Trimester 2 (November 21, 2013 to March 19, 2014) Topic 4: Data, Graphs, and Patterns, Chapters 10, 11 Time Frame: 3 weeks (Dec 2-20) Subtopics: Creating picture graphs; making tally charts; making bar graphs; interpreting graphs; solving addition and subtraction problems from graphs; sorting objects; describing and extending repeating patterns Topic 5: Geometry and Measurement, Chapters 26, 27, 28 Time Frame: 3 weeks (Jan 13-31) Subtopics: Identify, describe and classify 2- and 3-D shapes; give and follow directional words; position objects using spacial vocabulary; identify faces of solids; measure with nonstandard units; compare length, height, weight, volume Topic 6: Place Value to 100, Chapters 12, 13, 14 Time Frame: 3 weeks (Feb 3-21) Subtopics: Count, read and write numbers, represent numbers; compare and order numbers using symbols; estimate; count by 2’s, 5’s and 10’s; ten more, ten less Common Core Student Engagement Task Time Frame: 1 week (Feb 24-28) Topic 7: Addition and Subtraction Facts to 12, Chapters 15, 16 Subtopics: Counting on; missing addends; writing number sentences Time Frame: 3 weeks (March 3-21) Rev 8/13 1st Grade Mathematics Course Outline (cont.) Trimester 3 (March 20-June 19, 2014) Topic 8: Addition and Subtraction Facts to 20, Chapters 17, 18, 19 Time Frame: 3 weeks (March 24-April 18) Subtopics: Doubles plus one; add with ten; add three numbers; use doubles to subtract; fact families; different ways to subtract; comparison problems Topic 9: Money and Time, Chapters 20, 21, 22 Time Frame: 3 weeks (April 21-May 9) Subtopics: Coin values; combinations of coins; counting by pennies, nickels, and dimes; using money for addition and subtraction; equal amounts, using quarters; tell time to the hour, half-hour; relate time to events Topic 10: Addition & Subtraction of Two-Digit Numbers, Chapters 23, 24, 25 Time Frame: 3 weeks (May 12-30) Subtopics: Sums to 30, to 50, to 100; addition of 2-digit to 1-digit numbers; word problems involving addition; subtraction of 2-digit and 1-digit numbers; word problems involving subtraction. Topic 11: Looking Ahead Activities Time Frame: 3 weeks (June 2-19) Subtopics: Ten More, Ten Less; Coins; Order & Compare Numbers; Use Symbols; Teen Facts; Place Value, Addition; Subtraction; Measure Length; Time; 2-D Shapes; 3-D Shapes; Patterns; Picture Graphs; Bar Graphs Key Supplemental Materials in Curriculum Guidelines IMP - Irvine Math Project T.E. - Teacher’s Edition IMC - Instructional Media Center Rev 8/13 Topic 1 st 1 Trimester 1st Grade Mathematics Standards NS 1.1* Count, read, and write whole numbers to 100. Numbers to 50 3 Weeks (Aug 27-Sept 20, 2013) Subtopics: • Count, read, and write to 20 • Compare and order using symbols Materials: Multilink cubes Counting bears Cuisenaire rods Dotted cubes Base-ten blocks Playing cards Unifix cubes Counters Rev 8/13 NS 1.2* Compare and order whole numbers to 100 by using the symbols for less than, equal to, or greater than (<, =, >). NS 2.3* Identify one more than, one less than. Key Vocabulary Compare Greater than Most Fewer Least Equals First Third After Order More Less than Fewest Equal to Between Second Before ST Math: Number Sticks, Bird Expressions, Ten Frame, Number Line Trap, Ten Frame to 20, Dot Count, Dot Count L1, Counting On, Number Line Trap to 20, Swap Sort, Order Sort, More or Less, More Less Parachute, Least or Most, Swap Sort L1, Order Sort L1, Comparison Signs, More or Less L1, More Less Parachute L1, More Less Parachute Multiple Choice, Least or Most L1 Resources/Teaching Strategies Weeks 1 & 2: Read, write, count, and represent numbers to 20 NS 1.1 Lessons: 1.1, 1.2, 1.3, 1.4, 1.5 AND/OR • Have students draw and label 14 apples. Write the number label for the group of objects. • Write a counting book to 20. • Have students count to 20 using 1 to 1 correspondence and read and write numbers to 20 (in random order). • Teacher graphs student names by beginning letter or have students wear different colored name tags and graph by color. Count the number in each bar. • Have students show “12” in two different ways • Use multi-link cubes to represent the numbers from 1-20. • IMP activity: “Fishing for Rods” Week 3: Write, compare and order numbers to 50; one more, one less NS 1.2 Lessons: 2.1, 2.2, 2.3 AND/OR • Have students compare 2 groups of objects and tell which has more and which has less. • Have students place 3 non-consecutive numbers in order. • Dotted Cube Toss-working in groups of three, 2 students toss a dotted cube,1 student records numbers and decides on the symbol to use (<,>,=). • IMP activity: “Number Guess” • Assign each student a number from 1-20 and have them line up in order. • Bridge Map (relating factor: “comes after”, “comes before”) Literature: 10 Black Dots by Donald Crews Seven Blind Mice by Ed Young 12 WAYS TO GET TO 11 by Eve Merriam Two Ways to Count to Ten by Ruby Dee Caps for Sale by Esphyr Slobodkina Mouse Count by Ellen Stoll Walsh Math Centers: 1, 2, 3 ST Math: Subitizing Finger Patterns, Subitizing Fingers & Dice, Subitizing with Dice, Double-Sided Subitizing Topic 2 st 1 Trimester Addition Numbers to 10 4 Weeks (Sept 23-Oct 18, 2013) Subtopics: • The concept of addition • One more, one less • Understanding and knowing addition facts • Use of symbols • Multiple representations • Word problems involving addition Materials: Cuisenaire Rods Doubles Rap Number Line Counters (2-sided) Place value mat Multi-link Cubes Unifix cubes Rev 8/13 1st Grade Mathematics Standards NS 1.3 Represent equivalent forms of the same number through the use of physical models, diagrams, and number expressions (to 20) (e.g., 8 may be represented as 4 + 4, 5 + 3, 2 + 2 + 2 + 2…) NS 2.1* Know the addition facts (sums to 20) and the corresponding subtraction facts and commit them to memory. NS 2.5* Show the meaning of addition (putting together, increasing) and subtraction (taking away, comparing, finding the difference). AF 1.1 Write and solve number sentences from problem situations that express relationships involving addition and subtraction from the context of the problem. AF 1.2 Understand the meaning of the symbols + - = Resources/Teaching Strategies Weeks 1 & 2: The concept of addition; symbols; write number sentences NS 2.3, NS 2.5 AF 1.2 Lessons: 3.1, 3.2, 3.3, 3.4, 3.5; 4.1 AND/OR • IMP activity: “Hit The Target” • Bridge Map (relating factor: “is one more than”, “is one less than”) Weeks 3 & 4: Adding to 10; multiple representations; use a number line; use doubles to add NS 1.3, NS 2.1, AF 1.3 Lessons: 4.2, 4.3, 4.4, 4.5, 5.1, 5.2, 5.3, 5.4, 5.5 AND/OR • IMP activity: “Domino Equation Scrabble” • Circle Map to show multiple representations of a single number Literature: The M&M’s Counting Book By: Barbara Barbieri McGrath The Hershey's Kisses Addition Book by Jerry Pallotta, The Hershey's Kisses Subtraction Book by Jerry Pallotta Mission: Addition by Loreen Leedy Subtraction Action by Loreen Leedy AF 1.3 Create problem situations that might lead to given number sentences involving addition and subtraction. ST Math: Stair Case, Push Box, Ten Frame Addition, Push Box to 20, Dot Regroup, Ten Frame Addition L1, Add Stacks, Partners, Addition Algorithm Plus One &Ten, Addition Algorithm, Dot Regroup 2 Key Vocabulary Math Centers: 4, 5, 6 Addition Tally Plus Increase Add Total Sum Equals Altogether Number sentence Topic 3 st 1 Trimester Relate Addition & Subtraction to 10 5 Weeks (Oct 21-Nov 22, 2013) Subtopics: • The concept of subtraction • Use of symbols • Multiple representations • Inverse relationship of addition and subtraction • Subtracting within 20 • Word problems involving addition and subtraction Materials: Cuisenaire Rods Doubles Rap Number Line Counters (2-sided) Place value mat Multi-link Cubes Unifix cubes 1st Grade Mathematics Standards NS 1.3 Represent equivalent forms of the same number through the use of physical models, diagrams, and number expressions (to 20) (e.g., 8 may be represented as 4 + 4, 5 + 3, 2 + 2 + 2 + 2…) NS 2.1* Know the addition facts (sums to 20) and the corresponding subtraction facts and commit them to memory. NS 2.2* Use the inverse relationship between addition and subtraction to solve problems. NS 2.5* Show the meaning of addition (putting together, increasing) and subtraction (taking away, comparing, finding the difference). AF 1.1 Write and solve number sentences from problem situations that express relationships involving addition and subtraction from the context of the problem. AF 1.2 Understand the meaning of the symbols + - = AF 1.3 Create problem situations that might lead to given number sentences involving addition and subtraction. Math Centers: 7, 8, 9, 10 Resources/Teaching Strategies Weeks 1 & 2: The relationship between addition and subtraction; subtracting within 10; write number sentences for subtraction NS 2.1, NS 2.2, AF 1.2 Lessons 6.1, 6.2, 6.3, 6.4, 6.5, 7.1, 7.2, 7.3, 7.4, 7.5 AND/OR • IMP activity: “Cuisenaire Trains” • Use 10, 2-color chips (or beans) to discover all of the combinations of 10. (0+10, 1+9, 2+8) • Double Bubble Map to compare addition and subtraction Weeks 3-5: Word problems involving addition and subtraction; count back; use a number line; check subtraction with addition; fact families NS 2.5, AF 1.1, AF 1.3 Lessons: 8.1, 8.2, 8.3, 8.4, 8.5, 9.1, 9.2, 9.3, 9.4, 9.5 AND/OR • Have students illustrate, act out and use manipulatives to solve simple story problems: 3 frogs were in the pond. 2 more came. How many frogs are now in the pond? 10 frogs were in the pond. Some left. Now there are 2 frogs in the pond. How many left? 7 frogs were swimming in the pond. Some more frogs came to swim. Now there are 10 frogs in the pond. How many more came to swim? • Given a number sentence, students will create and perform a story describing the fact. Key Vocabulary ST Math: Push Box, Bird Expressions, Select Box, Ten Frame Subtraction, Estimate Subtraction, Basic Fact Subtraction, Tug Boat, Mice Island, Mice Island L1, Tug Boat L1 Subtraction Subtract Decrease Minus Equals Difference Number sentence How many more How many less End of 1st Trimester: November 20, 2013 Rev 8/13 Topic 4 nd 2 Trimester Data, Graphs & Patterns 3 Weeks (Dec 2-20, 2013) Subtopics: • Creating graphs • Interpreting graphs • Solving addition and subtraction problems from graphs Key Vocabulary Picture graph Bar graph Tally marks Data More Less Rev 8/13 1st Grade Mathematics Standards *NS 1.2 Compare and order whole numbers to 100 by using the symbols for less than, equal to, or greater than (<, =, >). AF 1.1 Write and solve number sentences from problem situations that express relationships involving addition and subtraction. SDAP 1.1 Sort objects and data by common attributes and describe the categories. SDAP 1.2 Represent and compare data (e.g., largest, smallest, most often, least often) by using pictures, bar graphs, tally charts, and picture graphs. SDAP 2.1* Describe, extend, and explain ways to get to a next element in simple repeating patterns (e.g., rhythmic, numeric, color, and shape). Materials: Dice Index cards with pictures of food Graph paper Food for graphing (M&M’s, Skittles, Fruit Loops, etc.) Resources/Teaching Strategies Weeks 1 & 2: Represent and compare data (picture graphs, bar graphs, tally charts) SDAP 1.2, NS 1.2, AF 1.1 Lessons: 10.1, 10.2, 10.3, 10.4, 10.5 AND/OR • Have students collect data and display in a bar graph. (birthdays, pets, favorite food.) • Have students create a picture graph showing students’ favorite foods. • Have students create a class picture graph of teeth lost during year. Record by month. • Have students use tally marks to record the number of times each number 1-6 is rolled on a standard die. Create a tally chart using the data. • Have students write number sentences comparing responses on a bar graph. (More students chose pizza than hot dogs. 8 pizzas > 3 hot dogs. Hamburgers were picked least often. 11 students chose pizza or hamburgers. 8+3=11) Math Centers: Week 3: Patterns SDAP 1.1, SDAP 2.1 11, 12 Lessons : 11.1, 11.2, 11.3, 11.4, 11.5 AND/OR • IMP activity: “Bug Dance” • IMP activity: “Function Box” • Have students discover patterns in addition and subtraction, and note connections between the patterns. (Fact families, one less and one more) • Allow students to use stamps to create repeating patterns. • Ex: numeric pattern; 1,2,3,1,2,3, … • Flow Map for showing what comes next in a pattern Literature: More M&M’s Brand Chocolate Candies Math, by Barbara Barbieri McGrath ST Math: Tally Marks, Attribute Grid, Graph Sort, Robot Patterns, Pattern Monkey, Pattern Monkey 2, Counting On Topic 5 nd 2 Trimester Geometry & Measurement 3 Weeks (Jan 13-31, 2014) Subtopics: • Identify, describe and classify 2- and 3-D shapes • Give and follow directional words • Position objects using spacial vocabulary Key Vocabulary Near Below Far Above Up Down Behind In front of Next to Left of Right of Triangle Rectangle Square Circle Shape Angle Curved Corner Side 3-Dimensional Face Sphere Cube Cone Cylinder Rectangular prism Triangular prism Rev 8/13 1st Grade Mathematics Standards Resources/Teaching Strategies MG 2.1 Identify, describe, and compare triangles, rectangles, squares, and circles, including the faces of three-dimensional objects. Week 1: Classification of 2-dimensional shapes; directions and locations MG 2.1, 2.2, 2.3, 2.4 Lessons: 26.1, 26.2, 26.3, 26.4, 26.5 AND/OR • Review flat shapes (square, rectangle, circle, triangle). Students will identify objects around the room that have a given shape. Shapes should be large and labeled. Students should have an opportunity to handle the objects. • Tree Map for sorting shapes by attributes • Students will arrange objects around the classroom based on each other’s verbal clues. • Students will play “I spy” using proximity, position, and direction clues. • Have students participate in creating a floor map of the classroom. Students will place objects on the map by following each other’s directions. MG 2.2 Classify familiar plane and solid objects by common attributes, such as color, position, shape, size, roundness, or number of corners, and explain which attributes are being used for classification. MG 2.3 Give and follow directions about a location. MG 2.4 Arrange and describe objects in space by proximity, position, and direction (e.g., near, far, below, above, up, down, behind, in front of, next to, left or right of). Materials: Geoboards Pattern blocks Shapes (plane and solid) Paper, markers, and objects to create Floor map Real life 3 dimensional objects Die cuts are available at the IMC Week 2: Classification of 3-dimensional shapes MG 2.1, MG 2.2 Lessons 27.1, 27.2, 27.3, 27.4 AND/OR • Have students sort real objects into categories based on color, position, shape, size, roundness, number of corners, and number of sides. Make sure all sorts are into 2 categories (things that have ____ in common and things that don’t.) • Point to 3-dimensional solids around the room and have students name all the 2dimensional shapes that comprise the solid; e.g., the door is made from 6 rectangles. • IMP activities: “Rolling Nets” & “Skeletons” • Bubble Map to describe a shape Bridge Map to show parts of a shape • Math Centers: 27, 28 ST Math: Pick Geometric Shapes 2D, Pick Geometric Shapes 3-D, Pick Geometric Shapes 2D L1, Prisms, Venn Space, Venn Space Pick Shape, Match Shape, Match Position Side View, Match Position Top View, Treasure Hunt with Arrows, Treasure Hunt with Boxes; Match Position Side View L1, Match Position Top View L1, Treasure Hunt L1 Topic 5 3rd Trimester Geometry & Measurement 1st Grade Mathematics Standards Resources/Teaching Strategies MG 1.1 Compare the length, weight, and volume of two or more objects by using direct comparison or a nonstandard unit. Week 3: Length & Height; Volume & Weight MG 1.1 Lessons 28.1, 28.2, 28.3, 28.4, 28.5 AND/OR • IMP activity: “Measurement Olympics” • IMP activity: “Measurement Graphing Challenge” • IMP activity: “Body Ratios” • Use a variety of nonstandard units (pencils, q-tips, bear counters) to measure the length of objects in the classroom. • Determine if it takes more of _______’s feet or ______’s feet to measure the length of the classroom. • Read How Big is a Foot? and have students trace and cut out shapes of their feet. Use cut out to measure objects around the room. • Bridge Map for looking at relationships in measurement (relating factor: “is longer than”, “is shorter than”) • IMP activity: “Don’t Make it Spill” • Compare and explore the volume of various containers by pouring water from one container to another. • Use a Dixie cup to pour water into a milk carton, milk jug, coffee can etc. Estimate how many cups it will take, then measure. • Compare the weight of various objects. Estimate which will be lighter/heavier then use a double-pan balance to compare. • Bridge Map for looking at relationships in weight (relating factor: “weighs less/more than”) (continued) (Jan 13-31, 2014) Subtopics: • Non-standard linear measurement • Volume • Weight Materials: Various nonstandard measuring units 2 pan balance Various sized liquid containers Dixie cups Plastic tubs to catch water Rulers Containers Key Vocabulary Length Width Height Size Compare Volume Lighter Balance Rev 8/13 Shorter Longer More Less Weight Weigh Measure ST Math: Swap Sort, Slinky Objects, Measure it with Objects, slinky Weights, Measure it with Ruler, Slinky Pounds Literature: How Big is a Foot by Rolf Myller Twelve Snails to One Lizard by Susan High Tower Inch by Inch by Leo Lionni Inchworm and a Half by Elinor Pinczes Is a Blue Whale the Biggest Thing There Is? by Leo Lionni The Napping House by Audrey Wood Topic 6 nd 2 Trimester Place Value to 100 3 Weeks (Feb 3-21, 2014) Subtopics: • Count, read and write numbers • Compare and order numbers • Represent numbers • Estimate • Count by 2s, 5s and 10s 1st Grade Mathematics Standards NS 1.1* Count, read, and write whole numbers to 100. Week 1: Represent numbers to 100, one more one less; ten more ten less; count, read and write numbers to 100 NS 1.1, NS 1.4 Lessons: 12.1, 12.2, 12.3, 12.4, 12.5, 2.4, 2.5 AND/OR NS 1.2* Compare and order whole • Create a page for a class number book. Using a randomly assigned number (20-99), numbers to 100 by using the symbols students create a page for the book showing as many ways to represent the number for less than, equal to, or greater than as possible including pictures, number sentences & diagrams. (<, =, >). • Have students explain how 36 is different from 63 • Use Base Ten blocks or Multilink cubes to demonstrate regrouping ones into tens NS 1.4 Count and group object in • Have students demonstrate the number 57 using Base Ten blocks. ones and tens (e.g., three groups of 10 • Bring in a collection of 100 items (cereal, toothpicks, buttons) glued onto a chart in and 4 equals 34, groups of 10. or 30 + 4). • Circle Map to show multiple representations of a single number • IMP activity: “100 Chart Hunt” NS 2.4* Count by 2s, 5s, and 10s to • Bridge Map (relating factor: “comes before”, “comes after”) 100. NS 3.1 Make reasonable estimates when comparing larger or smaller numbers. Key Vocabulary Place value Estimate Digit Ones Tens Hundreds Less than Greater than Group Materials: Base ten blocks Number line Hundreds chart Linking cubes Centimeter cubes Unifix cubes Beans Popsicle sticks Place value mat (tens and ones) Rev 8/13 Resources/Teaching Strategies SDAP 2.1 Describe extend and explain ways to get to a next element in simple repeating patterns (numeric) Literature: One Hundred Hungry Ants by Bonnie MacKain Reese’s Pieces: Count by Fives by Jerry Pallotta and Rob Bolster One Hundred Seagulls Make a Racket by Betty Franco ST Math: Counting On, Number Sticks, Greenies, Number Line Trap, Comparison Signs, Large Number Comparison, Least Most, Swap Sort L1, Least Most L1, Order Sort L1 Week 2: Number patterns, count by 2s, 5s, 10s NS 1.1, NS 2.4, SDAP 2.1 Lessons 13.1, 13.2, 13.3, 13.4, 13.5 AND/OR • Have students fill in the missing numbers (26, 28, 30, ___, 34, ___, ___, 40) • Teacher will cover numbers on a number chart. Students will orally identify the missing numbers. • Give students a digit written on a plate (0-9). Call out a number and have the students stand next to each other to form that number; e.g. 29, the students with the 2 and 9 would come up and the 2 would stand on the left of the 9. • Have students estimate the number of items in a jar (M&Ms, cm cubes, beans- total not to exceed 100). Count the number of objects by placing in groups of 2’s, 5’s, or 10’s • Have students discover patterns in addition and subtraction and note connection between the patterns (e.g., fact families, one less and one more, etc.) • Flow Map for showing the sequence of numbers in a pattern Week 3: Compare and order numbers to 100 NS 1.2, NS 3.1 Lessons 14.1, 14.2, 14.3, 14.4, 14.5 AND/OR Math Centers: • Play “War” and compare the two numbers using >,<,=. 13, 14, 15 • IMP activity: “Guess My Number” • IMP activity: “Dice Games” • Bridge Map (relating factors: ‘is less than”, “is greater than”) Common Core Student Engagement Task February 24-28, 2014 Topic 7 nd 2 Trimester Rev 8/13 1st Grade Mathematics Standards Resources/Teaching Strategies Addition & Subtraction Facts to 12 3 Weeks (Mar 3-21, 2014) Subtopics: • The concept of addition • One more, one less • Understanding and knowing addition facts • Use of symbols • Multiple representations • Inverse relationship of addition and subtraction • Subtracting within 12 • Word problems involving addition and subtraction Materials: Cuisenaire Rods Doubles rap Number line Counters (2sided) Place value mat Multi-link cubes Unifix cubes Rev 8/13 NS 1.3 Represent equivalent forms of the same number through the use of physical models, diagrams, and number expressions (to 20) (e.g., 8 may be represented as 4 + 4, 5 + 3, 2 + 2 + 2 + 2…) NS 2.1* Know the addition facts (sums to 20) and the corresponding subtraction facts and commit them to memory. NS 2.2* Use the inverse relationship between addition and subtraction to solve problems. NS 2.3* Identify one more than, one less than. NS 2.5* Show the meaning of addition (putting together, increasing) and subtraction (taking away, comparing, finding the difference). NS 2.7 Find the sum of three one-digit numbers. Week 1: Addition to 12; add three numbers; missing addends; write a number sentence NS 1.3, NS 2.3, NS 2.5, NS 2.7, AF 1.2 Lessons: 15.1, 15.2, 15.3, 15.4 AND/OR • IMP activity: “Hit The Target” • IMP activity: “Race to the End” (play all month) • Bridge Map (relating factor: “is one more than”, “is one less than”) Week 2: Problem solving with addition; multiple representations NS 1.3, NS 2.1, NS 2.5, AF 1.1, AF 1.3 Lessons: 15.5, 15.6 AND/OR • IMP activity: “Domino Equation Scrabble” • Circle Map to show multiple representations of a single number Week 3: The relationship between addition and subtraction; subtracting within 12 NS 2.1, NS 2.2, NS 2.3 Lessons: 16.1, 16.2, 16.3, 16.4, 16.5 AND/OR • IMP activity “Cuisenaire Trains” • Use 12, 2-color chips (or beans) to discover all of the combinations of 12. (0+12, 11+1, 4+8) • Double Bubble Map to compare addition and subtraction • Use Cuisenaire Rods to show all addition problems that equal 12 AF 1.1 Write and solve number sentences from problem situations that express relationships involving addition and subtraction from the context of the problem. AF 1.2 Understand the meaning of the symbols + - = AF 1.3 Create problem situations that might lead to given number sentences involving addition and subtraction. Literature: The M&M’s Counting Book By: Barbara Barbieri McGrath The Hershey's Kisses Addition Book by ndJerry Pallotta, The Hershey's Kisses Subtraction Book by Jerry Pallotta Mission: Addition by Loreen Leedy March 19, 2014 Subtraction Action by Loreen Leedy Math Centers: 16, 17 End of 2 Trimester Topic 8 nd 2 Trimester Addition & Subtraction Facts to 20 3 Weeks (Mar 24-Apr 18, 2014) Subtopics: • The concept of addition • One more, one less • Understanding and knowing addition facts • Use of symbols • Multiple representations • Inverse relationship of addition and subtraction • Subtracting within 20 • Word problems involving addition and subtraction Materials: Cuisenaire Rods Doubles rap Number line Counters (2-sided) Place value mat Multi-link cubes Unifix cubes Rev 8/13 1st Grade Mathematics Standards NS 1.3 Represent equivalent forms of the same number through the use of physical models, diagrams, and number expressions (to 20) (e.g., 8 may be represented as 4 + 4, 5 + 3, 2 + 2 + 2 + 2…) NS 2.1* Know the addition facts (sums to 20) and the corresponding subtraction facts and commit them to memory. NS 2.2* Use the inverse relationship between addition and subtraction to solve problems. NS 2.3* Identify one more than, one less than. NS 2.5* Show the meaning of addition (putting together, increasing) and subtraction (taking away, comparing, finding the difference). Resources/Teaching Strategies Week 1: Addition strategies; add doubles; add with ten; add three numbers NS 1.3, NS 2.1, NS 2.3, NS 2.7, AF 1.2 Lessons: 17.1, 17.2, 17.3, 17.4 17.5 AND/OR • IMP activity “Cuisenaire Trains” • Use 20, 2-color chips (or beans) to discover all of the combinations of 20. (0+20, 11+9, 12+8) • IMP activity: “Race to the End” Week 2: Subtraction strategies; use doubles to subtract NS 1.3, NS 2.1, NS 2.3, AF 1.2 Lessons: 18.1, 18.2, 18.3, 18.4 19.3 AND/OR • IMP activity: “Hit The Target” Week 3: Word Problems involving addition and subtraction AF 1.1, AF 1.3 Lessons: 17.6, 18.5, 19.1, 19.2, 19.4 AND/OR • Have students illustrate, act out and use manipulatives to solve simple story problems: • Given a number sentence, students will create and perform a story describing the fact. Key Vocabulary NS 2.7 Find the sum of three one-digit numbers. AF 1.1 Write and solve number sentences from problem situations that express relationships involving addition and subtraction from the context of the problem. AF 1.2 Understand the meaning of the symbols + - = AF 1.3 Create problem situations that might lead to given number sentences involving addition and subtraction. Math Centers: 18, 19, 20 Addition tally Plus Increase Add Decrease Minus Subtraction Subtract Total Sum Equals Altogether Difference Number sentence How many more How many less 1st Grade Mathematics Topic 9 rd 3 Trimester Standards Money & Time NS 1.5 Identify and know the value of coins and show different combinations of coins that equal the same value. 3 Weeks (Apr 21-May 9, 2014) Subtopics: • Coin values • Combinations of coins • Counting by nickels and dimes • Using money for addition and subtraction Key Vocabulary Penny Nickel Dime Quarter Dollar Bill Coins Change Value NS 2.4* Count by 2s, 5s, and 10s to 100. AF 1.1 Write and solve number sentences from problem situations that express relationships involving addition and subtraction. (Optional with money) AF 1.3 Create problem situations that might lead to given number sentences involving addition and subtraction. (Optional with money) Literature: Alexander, Who Use to Be Rich Last Sunday by Judith Viorst Pigs Will Be Pigs: Fun with Math and Money by Amy Axelrod The Chocolate Champs by Cindy Neuschwander Resources/Teaching Strategies Week 1: Identifying coins and the value of coins; pennies, nickels, dimes NS 1.5, NS 2.4 Lessons: 20.1, 20.2, 20.3, 20.4, 20.5 AND/OR • Play 20 questions. Have a student select a coin. Have students ask yes or no questions to figure out which coin the student has. • Play concentration to match the name of a coin or its value with its picture. • To reinforce standards MG 2.3 and MG 2.4, have students hide coins and give directions to a partner to find them. • Tree Map for sorting coins • Have students match up the correct number of pennies to each coin. Help them understand that 1 dime now stands for 10 pennies • Bridge Map for showing coin relationships (relating factor: “is equal to”) Week 2: Combinations of coins and problem solving with money; quarters; equal amounts NS 1.5, AF 1.1, AF 1.3 Lessons: 20.6, 21.1, 21.2, 21.3, 21.4 AND/OR • IMP activity: “Alexander Who Used to be Rich” • IMP activity: “Pigs, Money and Graphing” • Have students write a word problem for a given number sentence. (e.g. Solve: I want to buy a toy that costs 15¢ and another which costs 8¢. How much do the two toys cost altogether?) ST Math: Identify Coin, Money Place Value, Money Swapper, Toll Bridge, Toll Bridge Multiple Choice, Buy Items Materials: Plastic coins Real coins Enlarged coins Overhead coins Rev 8/13 Math Centers: 21, 22 Topic 9 rd 3 Trimester Money & Time (continued) 1st Grade Mathematics Standards MG 1.2 Tell time to the nearest halfhour and relate time to events (e.g., before/after, shorter/longer). (Apr 21-May 9, 2014) Subtopics: • Tell time to the halfhour • Relate time to events Materials: Judy clock Paper plates & bobby pins Analog clock Digital clock Student clocks (Saxon) Overhead clock Stopwatch/timer Rev 8/13 Key Vocabulary Clock Digital Hour Minute O’clock Noon A.M. Morning Evening Before Longer Shorter Math Center: 23 Analog Hand Half-hour Second Half past Midnight P.M. Afternoon Night After Resources/Teaching Strategies Week 3: Telling time; relating time to events; estimating with time MG 1.2 Lessons: 22.1, 22.2, 22.3, 22.4, 22.5 AND/OR • IMP activity: “Human Clock Charades” • Have students make a paper plate clock and correctly place the numbers on the face. Use large & small bobby pins for the hands. • Have students act out the story The Grouchy Ladybug with paper clocks. • Check the classroom clock through out the day and identify the time. • Brace Map for showing the parts of a clock • Have students describe their class schedule in chronological order. • Have students compare daily activities to determine the longest and the shortest activity. • Make a book illustrating morning, afternoon, and evening events (i.e., Flow Map). Literature: The Grouchy Ladybug by Eric Carle Bats Around the Clock by Kathi Appelt Pigs Will Be Pigs by Amy Axelrod “Hickory Dickory Dock” ST Math: Hours & Minutes, Telling Time, Estimate Time Line, Hours & Minutes Digital, Telling Time Digital, Time of Day Earth Topic 10 rd 3 Trimester Addition & Subtraction of Two-Digit Numbers 3 Weeks (May 12-30, 2014) Subtopics: • Addition with regrouping • Addition of three onedigit numbers • Subtraction with regrouping • Word problems involving addition and subtraction 1st Grade Mathematics Standards NS 2.2* Use the inverse relationship between addition and subtraction to solve problems NS 2.5* Show the meaning of addition (putting together, increasing) and subtraction (taking away, comparing, finding the difference. NS 2.6 Solve addition and subtraction problems with one- and two-digit numbers. AF 1.1 Write and solve number sentences from problem situations that express relationships involving addition and subtraction. ST Math: Estimate Arithmetic Number Line, Table Directions, Table Directions 2, Candy Factory, Candy Factory Addition, Candy Factory Subtraction, Critter Addition, Critter Addition L1 Key Vocabulary Add Subtract Total Altogether Sum Difference Regroup Balance How many more How many less Math Centers: 24, 25, 26 Resources/Teaching Strategies Week 1: Hands on addition of 2-digit & 1-digit numbers to 30 NS 2.2, 2.5, 2.6 Lessons: 23.1, 23.2, 23.3, 23.4 AND/OR • Have students use base ten blocks to model and complete addition problems. Once they are proficient with the manipulatives, have them record on paper (or you record for the class) what they are doing. Make sure not all problems require regrouping. See IMP activity “Base 10 Block Charades”. • Continue building on the first week’s use of blocks, but transition the students to pencil and paper, by connecting what they do with blocks and how they record it on paper. • Have students use a hundreds chart to add a two-digit number to a one-digit number. Week 2: Hands on addition of 2-digit & 1-digit numbers to 50 & 100 NS 2.2, 2.5, 2.6, AF 1.1 Lessons: 24.1, 24.2, 24.3, 24.4, 24.5 AND/OR Week 3: Hands on subtraction of numbers from 50 & 100 NS 2.2, 2.5, 2.6, AF 1.1 Lessons: 25.1, 25.2, 25.3, 25.4, 25.5 AND/OR • Have students use base ten blocks to model and complete subtraction problems. Once they are proficient with the manipulatives, have them record on paper (or you record for the class) what they are doing. Make sure not all problems require regrouping. See IMP activity “Base 10 Block Charades”. • Continue building on the 1st week’s use of blocks, but transition the students to pencil and paper, by connecting what they do with blocks and how they record it on paper. • Have students use a hundreds chart to subtract a one-digit number from a twodigit number. • Flow Map to show process of subtracting • Have students balance two sides on an equation. (24+4=__+24) • Have students solve and illustrate the following problem using the inverse fact: There were some butterflies in the garden. 8 flew away. There are 19 left. How many butterflies were in the garden? Topic 11 3rd Trimester Looking Ahead Activities 3 weeks (June 2-19, 2014) Subtopics: • Ten More, Less • Coins • Use Symbols • Teen Facts • Place Value • Addition/Subtraction • Comparing & Ordering numbers • Measure Length • Plane Shapes • Solids • Patterns • Picture Graphs • Bar Graphs 2nd Grade Standards NS 1.2, 1.3 NS 2.2, 2.4 NS 5.1 MG 1.1, 1.4 MG 2.1 SDAP 1.2, 1.4 SDAP 2.1, 2.2 1st Grade Mathematics Resources/Teaching Resources Weeks 1-3: Looking Ahead Activities 1-20 Review and reinforcement of the following 1st grade Standards: Activities 1-10 NS 1.2, 1.4, 1.5, 2.1, 2.2, 2.3, 2.6 Activities 11-15 MG 1.1, 1.2, 2.1, 2.2 Activities 16-20 SDAP 1.2, 2.0, 2.1 ST Math: Balance Pies, JiJi Cycle, JiJi Cycle Select Wheel, Crank Pies ST Math Challenges: Upright JiJi, Big Seed End of 3rd Trimester June 19, 2014
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