MATH EXPRESSIONS GRADE 2 – SCOPE AND SEQUENCE UNIT 1: UNDERSTANDING ADDITION AND SUBTRACTION Resources: Math Expressions Estimated Timeframe: 15---25 days Algebra & Functions: ● Solve addition equations with sums through 20 using the commutative property (5+3=8, 3+5=8). ● Solve addition equations with three addends through sums of 20 using the associative property of addition. ● Demonstrate the ability to use a variety of strategies to solve equations and inequalities. ● Recognize, describe, extend, and represent a variety of patterns based on attributes, number, geometry (number patterns, patterns on the calendar, shape patterns, etc.). ● Use addition and subtraction within 100 to solve one--- and two---step problems with unknowns in all positions. ● Use a strategy (using numbers, symbols (+ ---), words and/or pictures) to solve addition and subtraction word problems and be able to clearly explain one’s thinking to others. Computation & Estimation: ● Use various strategies to develop fluency such as: fact families, doubles, doubles + 1, doubles + 2, doubles --- 1, doubles --- 2, etc. ● Solve addition and subtraction combinations through 20. ● Add and subtract single and double---digit numbers with and without regrouping using both vertical and horizontal notation. Number, Number Systems, and Number Relationships: ● Count by 1’s, 2’s, 5’s and 10’s to 1,000. ● Read and write whole numbers to 999 by dictation, using pictures and number names. ● Read and write whole numbers to 999 by dictation, using base---ten numerals or from expanded form. ● Use addition and subtraction within 100 to solve one--- and two---step word problems with unknowns in all positions. Problem Solving and Communication: ● Use a strategy (using numbers, words and/or pictures) to solve addition and subtraction word problems and be able to clearly explain one’s thinking to others. ● Use grade appropriate mathematical vocabulary such as addition, subtraction, minus, sum, difference, congruent, symmetry, equal, greater than, and less than when solving problems. Reasoning and Connections: ● Use pictures, words, and/or numbers to clearly express mathematical thinking and to compare solutions and strategies. ● Use words to express mathematical thinking to compare solutions and strategies (e.g., all, or, every, some, or many.) Supplemental Investigations Activities MATH EXPRESSIONS GRADE 2 – SCOPE AND SEQUENCE Mathematical Thinking in 2nd Grade: 1st Edition ● Tens Go Fish (pg. 26) ● Turn Over 10 (pg. 28) ● Collect 25 (pg. 86) ● Counting Strips (pg. 92) ● Collecting Pocket Data (pg. 113) ● How Many Pockets? (pg. 127) Putting Together and Taking Apart: 1st Edition ● Combining and Separating (pgs. 4---34) (Math Talk Resource) ● Cover Up (pg. 74) Coins, Coupons, and Combinations: 1st Edition ● Ways to Make 15 cents (pg. 76) ● Doubles (pg. 22) ● Counting Bags (pg. 70) ● Magic Pot (pg. 45) Investigations 2 Resource Binder ● Ten--- Frame Cards (Unit 3 M3) ● Addition Cards, Doubles +1 (Unit 3 M16) ● Addition Cards, +10 Combinations (Unit 3 M35) ● +9 or 10 Bingo (Unit 8 M10---M11) Other Supplemental Resources MATH EXPRESSIONS GRADE 2 – SCOPE AND SEQUENCE UNIT 2: MEASUREMENT AND SHAPES Resources: Math Expressions Estimated Timeframe: 3---5 days --- *Could choose to do Unit 2 and Unit 4 sequentially then Unit 3.* Geometry: ● Using Geoblocks, pattern blocks, colored tiles, etc. name, describe and draw/build 2---and 3---dimensional shapes (rectangle, square, triangle, rectangular prism, cube, etc.). ● Sort objects by given attributes (size, color, number of sides, edges, etc.). Measurement and Estimation: ● Measure objects using various tools (rulers, yardsticks, meter sticks, tape measure, scales, thermometers, etc.). ● Use addition and subtraction when comparing different lengths. ● Find perimeter and area using non---standard units with teacher assistance. Supplemental Investigations Activities Mathematical Thinking in 2nd Grade: 1st Edition ● Find the Blocks (pg. 54---60) ● Ways to Fill (pg. 54---60) ● Cover and Count (pg. 64---67) Shapes, Halves, and Symmetry: 1st Edition (all lessons support geometry objectives) ● Shapes Around Us (pg. 5) ● Seeing Shapes Within Shapes (pg. 14) ● Investigating Quadrilaterals (pg. 46) ● Which Rectangle is Biggest? (pg. 52) ● Building Rectangles (pg. 55) How Long? How Far? 1st Edition ● Investigation 1 (pg. 2---43) Other Supplemental Resources Elementary Algebra Resource: Grade 1-­‐2 ● Sorting Shapes (pg. 5) UNIT 3: SOLVING STORY PROBLEMS Resources: Math Expressions Estimated Timeframe: 14---22 days MATH EXPRESSIONS GRADE 2 – SCOPE AND SEQUENCE Algebra & Functions: ● Solve addition equations with sums through 20 using the commutative property (5+3=8, 3+5=8). ● Solve addition equations with three addends through sums of 20 using the associative property of addition. ● Demonstrate the ability to use a variety of strategies to solve equations and inequalities. ● Use addition and subtraction within 100 to solve one--- and two---step problems with unknowns in all positions. ● Use a strategy (using numbers, symbols (+ ---), words and/or pictures) to solve addition and subtraction word problems and be able to clearly explain one’s thinking to others. Computation & Estimation: ● Use various strategies to develop fluency such as: fact families, doubles, doubles + 1, doubles + 2, doubles --- 1, doubles --- 2, etc. ● Solve addition and subtraction combinations through 20. ● Add and subtract single and double---digit numbers with and without regrouping using both vertical and horizontal notation. Number, Number Systems, and Number Relationships: ● Count by 1’s, 2’s, 5’s and 10’s to 1,000. ● Identify 1, 2, and 3---digit odd or even numbers. ● Use addition and subtraction within 100 to solve one--- and two---step word problems with unknowns in all positions. Problem Solving and Communication: ● Use a strategy (using numbers, words and/or pictures) to solve addition and subtraction word problems and be able to clearly explain one’s thinking to others. ● Use grade appropriate mathematical vocabulary such as addition, subtraction, minus, sum, difference, congruent, symmetry, equal, greater than, and less than when solving problems. Reasoning and Connections: ● Use pictures, words, and/or numbers to clearly express mathematical thinking and to compare solutions and strategies. ● Use words to express mathematical thinking to compare solutions and strategies (e.g., all, or, every, some, or many.) Supplemental Investigations Activities Coins, Coupons,and Combinations: 1st Edition ● Close to 20 (pg. 39) ● Beat the Calculator (pg. 39) ● Today’s Number (pg. 45) ● Ways to Make 25 (pg. 80) ● Collect 50 Cents (pg. 81) ● Sharing and Developing Strategies (pg. 90---107) ● Penny a Pocket (pg. 121) Putting Together and Taking Apart: 1st Edition MATH EXPRESSIONS GRADE 2 – SCOPE AND SEQUENCE ● Get to 100 (pg. 45) ● Roll a Square (pg. 49) (also Unit 6 M16---17 Investigations 2 Resource Binder) ● 100s Chart (pg. 52) ● Patterns on the 100s Chart (pg. 52) ● Pinching Paper Clips (pg. 61) Investigations 2 Resource Binder ● Guess My Number on the 100 Chart Unit 6 M8 Other Supplemental Resources Elementary Algebra Resource: Grade 1-­‐2 ● Even Numbers (pg. 21) ● Odd Numbers (pg. 22) ● Skip Counting (pg. 23---26, 28) MATH EXPRESSIONS GRADE 2 – SCOPE AND SEQUENCE UNIT 4: TRIANGLES AND QUADRILATERALS Resources: Math Expressions Estimated Timeframe: 3---5 days --- *Could choose to do Unit 2 and Unit 4 sequentially then Unit 3.* Geometry: ● Using Geoblocks, pattern blocks, colored tiles, etc. name, describe and draw/build 2---and 3---dimensional shapes (rectangle, square, triangle, rectangular prism, cube, etc.). ● Sort objects by given attributes (size, color, number of sides, edges, etc.). Measurement and Estimation: ● Measure objects using various tools (rulers, yardsticks, meter sticks, tape measure, scales, thermometers, etc.). ● Find perimeter and area using non---standard units with teacher assistance. Supplemental Investigations Activities Other Supplemental Resources MATH EXPRESSIONS GRADE 2 – SCOPE AND SEQUENCE UNIT 5: ADDITION TO 200 Resources: Math Expressions Estimated Timeframe: 15---20 days Algebra & Functions: ● Solve addition equations with sums through 20 using the commutative property (5+3=8, 3+5=8). ● Solve addition equations with three addends through sums of 20 using the associative property of addition. ● Demonstrate the ability to use a variety of strategies to solve equations and inequalities. ● Recognize, describe, extend, and represent a variety of patterns based on attributes, number, geometry (number patterns, patterns on the calendar, shape patterns, etc.). ● Use addition and subtraction within 100 to solve one--- and two---step problems with unknowns in all positions. ● Use a strategy (using numbers, symbols (+ ---), words and/or pictures) to solve addition and subtraction word problems and be able to clearly explain one’s thinking to others. Calculus: ● Order a set of whole numbers from least to greatest or greatest to least up through 999. Computation & Estimation: ● Use various strategies to develop fluency such as: fact families, doubles, doubles + 1, doubles + 2, doubles --- 1, doubles --- 2, etc. ● Solve addition and subtraction combinations through 20. ● Add and subtract single and double---digit numbers with and without regrouping using both vertical and horizontal notation. ● Use the dollar sign and decimal point OR cents sign when adding and subtracting. ● Demonstrate fluency in using the U.S. Algorithm: ● 2---digit Addition & Subtraction