MATH EXPRESSIONS GRADE 2 SCOPE AND SEQUENCE

Transcription

1 UNIT 1: UNDERSTANDING ADDITION AND SUBTRACTION Estimated Timeframe: 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.)

2 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) MATH EXPRESSIONS 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)

3 UNIT 2: MEASUREMENT AND SHAPES 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. Mathematical Thinking in 2nd Grade: 1st Edition Find the Blocks (pg ) Ways to Fill (pg ) Cover and Count (pg ) 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) Elementary Algebra Resource: Grade 1-2 Sorting Shapes (pg. 5) UNIT 3: SOLVING STORY PROBLEMS Estimated Timeframe: days

4 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.) 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 ) Penny a Pocket (pg. 121) Putting Together and Taking Apart: 1st Edition

5 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 Elementary Algebra Resource: Grade 1-2 Even Numbers (pg. 21) Odd Numbers (pg. 22) Skip Counting (pg , 28)

6 UNIT 4: TRIANGLES AND QUADRILATERALS 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.

7 UNIT 5: ADDITION TO 200 Estimated Timeframe: 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 with regrouping 3- digit and 4- digit Addition & Subtraction without regrouping Multiplication equations using factors from 0 through 5 Estimate values, sums, and differences of quantities and determine the reasonableness of those estimates. Introduce rounding 2- digit numbers to the nearest ten. Measurement and Estimation Find perimeter and area using non- standard units with teacher assistance. Number, Number Systems, and Number Relationships: Count by 1 s, 2 s, 5 s and 10 s to 1,000. Compare 2- and 3- digit whole numbers using >, =, < symbols up through 999. Read and write whole numbers to 999 by dictation, using pictures and number names. Identify and state the value of the quarter, dime, nickel, and penny. Count combinations of coins up to $1.00. Read and write whole numbers to 999 by dictation, using base- ten numerals or from expanded form. Identify 1, 2, and 3- digit odd or even numbers.

8 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.) Putting Together and Taking Apart: 1st Edition Problems with a Missing Part (pg ) Ways to Make 100 (pg. 96) Collect One Dollar (pg. 66) Capture 5 (pg. 112) Strategies for Combining (pg , ) Strategies for Separating (pg ) Investigations 2 Resource Binder Unroll a Square (Unit 6 M32- M34) 200 Chart (Unit 6 M7) Nimble with Numbers: 2nd and 3rd Grades Addition (pg ) Place Value (pg ) Elementary Algebra Resource: Grade 1-2 Skip Counting (pg. 27)

9 UNIT 6: TIME Estimated Timeframe: 4-7 days Algebra & Functions: Recognize, describe, extend, and represent a variety of patterns based on attributes, number, geometry (number patterns, patterns on the calendar, shape patterns, etc.). Measurement and Estimation: Project dates on a monthly calendar (e.g., On what day of the week will June 15th be?) Read and represent time to the nearest 5 minutes on an analog and digital clock. Use the terms quarter after, quarter of the hour, and half- past. Find elapsed time to increments of 5 minutes (limited to 2 adjacent hours)- 3 rd Grade indicator LEAD- Staff Resources- Elementary Curriculum Docs- 1/2 - Math- Grade 2- Invest/SCASD Modules- Telling Time

10 UNIT 7: TABLES AND GRAPHS Estimated Timeframe: days (combine lessons as needed) Algebra & Functions: Describe, compare, and answer questions about data on classroom graphs and charts. Computation & Estimation: Add and subtract single and double- digit numbers with and without regrouping using both vertical and horizontal notation. Add and subtract 3- and 4- digit numbers 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. Probability and Predictions: Ask and answer questions about predictions and actual outcomes based on data. 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.) Statistics & Data Analysis: Gather, organize, display, compare, and analyze data from surveys collected from school or at home. Gather, organize, display, compare, analyze, and communicate data using representations such as pictures, tallies, charts, bar graphs, and pictographs. Describe data displayed in a diagram, graph, table, or pictograph. Analyze representations of data and compare the data from two categories (such as pictures, tallies, charts, bar graphs, and pictographs, using most, least, more than, less than, equal to). Identify patterns and predict trends based on a comparison to data displayed in a graph. Mathematical Thinking in 2nd grade: 1st Edition Guess my Rule (pg. 102)

11 Does it Walk, Crawl, or Swim?: 1st edition Investigation 1 (pgs. 4-35) MATH EXPRESSIONS UNIT 8: DIAGONALS AND MIDPOINTS Estimated Timeframe: 0-3 days. Can skip entire unit because objectives are not any of the second grade indicators. UNIT 9: SUBTRACTING 2- DIGIT NUMBERS Estimated Timeframe: 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. 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. Add and subtract 3- and 4- digit numbers 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 with regrouping 3- digit and 4- digit Addition & Subtraction without regrouping Multiplication equations using factors from 0 through 5 Estimate values, sums, and differences of quantities and determine the reasonableness of those estimates. Introduce rounding 2- digit numbers to the nearest ten. Number, Number Systems, and Number Relationships:

12 Count by 1 s, 2 s, 5 s and 10 s to 1,000. Identify and state the value of the quarter, dime, nickel, and penny. Count combinations of coins up to $1.00. Make change using coins up to $1.00 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.) *see units 1, 3, and 5 Nimble with Numbers: Grades 2 and 3 2- Digit Subtraction (pg ) UNIT 10: SHAPES AND PATTERNS Estimated Timeframe: 5 days Algebra & Functions: Recognize, describe, extend, and represent a variety of patterns based on attributes, number, geometry (number patterns, patterns on the calendar, shape patterns, etc.). 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.). Find and create figures of the same size and shape (congruency). Measurement and Estimation: Find perimeter and area using non- standard units with teacher assistance.

13 Shapes, Halves and Symmetry: 1st edition Investigation 4 (pgs ) MATH EXPRESSIONS

14 UNIT 11: 3- DIGIT ADDITION AND SUBTRACTION Estimated Timeframe: 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. 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. Add and subtract 3- and 4- digit numbers 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 with regrouping 3- digit and 4- digit Addition & Subtraction without regrouping Multiplication equations using factors from 0 through 5 Estimate values, sums, and differences of quantities and determine the reasonableness of those estimates. Introduce rounding 2- digit numbers to the nearest ten. Number, Number Systems, and Number Relationships: Count by 1 s, 2 s, 5 s and 10 s to 1,000. Compare 2- and 3- digit whole numbers using >, =, < symbols up through 999. Read and write whole numbers to 999 by dictation, using pictures and number names. Represent a given amount of money in 3 or more ways (up to 1 dollar) using quarters, dimes, nickels, and pennies. Identify and state the value of the quarter, dime, nickel, and penny. Count combinations of coins up to $1.00. Show various combinations of a given amount up to $1.00 using a quarter, dime, nickel, and penny. Make change using coins up to $1.00 Read and write whole numbers to 999 by dictation, using base- ten numerals or from expanded form. 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

15 positions. MATH EXPRESSIONS 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.) *see units 1, 3, and 5 *3rd Grade Investigations (see 3rd grade teacher and/or Instructional Coach) Close to 100

16 UNIT 12: METRIC MEASUREMENT AND 3- D SHAPES Estimated Timeframe: 5 days **Need to cover standard units of measure as part of the second grade curriculum- inches, feet, cup, pint, quart, pound- using additional resources 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.). Measurement and Estimation: Measure objects using various tools (rulers, yardsticks, meter sticks, tape measure, scales, thermometers, etc.) Estimate and measure objects to the nearest inch and foot using a ruler. Use addition and subtraction when comparing different lengths. * see units 2 and 4

17 UNIT 13: MULTIPLICATION AND FRACTIONS Estimated Timeframe: 8-14 days (Can skip Lesson 13) Computation & Estimation: Demonstrate fluency in using the U.S. Algorithm: 2- digit Addition & Subtraction with regrouping 3- digit and 4- digit Addition & Subtraction without regrouping Multiplication equations using factors from 0 through 5 Use manipulatives and write corresponding multiplication equations as repeated addition. Geometry: Identify and draw designs with symmetry Number, Number Systems, and Number Relationships: Divide whole objects into 2, 3, or 4 equal shares. Describe the shares using the words halves, thirds, half of, a third of, fourth, a fourth of. Describe the whole as two halves, three thirds, four fourths. Given a shaded figure (halves, thirds, or fourths) write its corresponding fraction. Given a fraction (halves, thirds, or fourths) shade a figure that represents that fractional part. Use repeated addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns (using manipulatives or picture representations). Use manipulatives and write multiplication equations for a given group of equal sets to products of 25 (factors 0-5). Probability and Predictions: Determine if mathematical situations are fair, unfair, likely, unlikely, or certain (e.g., spinners, likely or unlikely statements, and probability games, etc. using the vocabulary: unfair/fair, unlikely/likely, certain, impossible. Predict if different outcomes of the same event are equally likely or not equally likely. Write the likelihood of an event as a simple fraction (e.g., ½). List or graph the possible results of an experiment (spinners and probability games). Ask and answer questions about predictions and actual outcomes based on data. Shapes, Halves and Symmetry: 1st Edition Cube Buildings (pgs ) LEAD- Staff Resources- Elementary Curriculum Docs- 1/2 - Math- Grade 2- Invest/SCASD Modules- Probability

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19 UNIT 14: NON- STANDARD AND STANDARD UNITS OF MEASURE Estimated Timeframe: 2-5 days Measurement and Estimation: Estimate and measure objects to the nearest inch and foot using a ruler. Estimate and measure liquids to the nearest cup, pint, and quart using various tools and containers. Estimate and measure objects to nearest pound. * see unit 2