Common Core State Standards for Math Grades K

Transcription

1 correlated to the Grades K - 7 The Common Core State Standards recommend more focused and coherent content that will provide the time for students to discuss, reason with, reflect upon, and practice more important mathematics. For intervention students who have already fallen behind, it is not necessary to re-teach every missed skill, concept, and standard. Rather, intervention must focus on the Core within the Core the standards most critical for success in algebra. Do The targets the foundations defined by the National Panel as critical for ensuring a successful transition from elementary to middle school to high school mathematics and beyond Fluency with Whole Numbers [Addition/Subtraction, Multiplication, Division] and Fluency with Fractions. This alignment guide features the Common Core State Standards that focus on these core foundations and how Do The lessons correlate to those standards. TM & Scholastic Inc. All rights reserved. SCHOLASTIC, Do The, and associated logos are trademarks and/or registered trademarks of Scholastic Inc.

2 Scholastic Do The Correlated to the Grade K Common Core State Standards for Counting and Cardinality Know number names and the count sequence. 1. Count to 100 by ones and by tens. 3. Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects). Operations and Algebraic Thinking Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from. 1. Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. Do The Do The : Addition and Subtraction: A Lesson Whiteboard Tools: The Hundred Frame: Count by 10s, represent numbers to 100, place-value parts. Do The : Addition and Subtraction: Number Core Lesson 21 Write numbers to 20 as tens and ones. Do The : Addition and Subtraction: A Lesson 1, 2, 4, 7-8, 13, 21, 24, 26 Communicate ideas with key math vocabulary: add, addition, equation, plus, equals, and sum. Lesson 3, 5 Communicate ideas with key math vocabulary: addition, equation, plus, equals, and sum. Lesson 9, 16, 20 Communicate ideas with key math vocabulary: add, equation, plus, equals, and sum. Lesson 10-11, 17 Communicate ideas with key math vocabulary: add, equation plus, and equals. Lesson 12 Communicate ideas with key math vocabulary: equation plus, and equals. Lesson 15 Communicate ideas with key math vocabulary: add, addition, equation, plus, and equals. Lesson 18 Communicate ideas with key math vocabulary: add, equation, plus, equals, and multiples of 10. Lesson 25 Communicate ideas with key math vocabulary: addition, equation, plus and equals. Common Core State Standards and Do The /Page 2

3 Scholastic Do The Correlated to the Grade K Do The Lesson 27-28, 30 Communicate ideas with key math vocabulary: add, addition, equation, plus, equals, sum, addend, and multiples of 10. Do The : Addition and Subtraction: B Lesson 1, 25 Communicate ideas with key math vocabulary: subtraction, subtraction equation, and minus. Lesson 3, 5-6, 11-12, 14 Communicate ideas with key math vocabulary: subtract, subtraction equation, and minus. Lesson 4, 29 Communicate ideas with key math vocabulary: subtract, subtraction, subtraction equation, minus, and difference. Lesson 7, 13 Communicate ideas with key math vocabulary: subtract and minus. Lesson 8 Communicate ideas with key math vocabulary: subtract and subtraction equation. Lesson 9, 15 Communicate ideas with key math vocabulary: subtraction equation. Lesson 10 Communicate ideas with key math vocabulary: subtract. Lesson 16, 17, 26 Communicate ideas with key math vocabulary: subtraction, subtraction equation, minus, and difference. Lesson 18 Communicate ideas with key math vocabulary: subtraction equation and difference. Lesson Communicate ideas with key math vocabulary: subtraction equation, minus, and difference. Lesson Communicate ideas with key math vocabulary: subtraction equation and minus. Lesson 23 Communicate ideas with key math vocabulary: subtraction. Lesson 27-28, 30 Communicate ideas with key math vocabulary: difference. Do The : Addition and Subtraction: Number Core Lesson 2, 3, 5, 23, 24, 25, 26, 27 Communicate ideas with key math vocabulary: add, addend, Common Core State Standards and Do The /Page 3

4 2. Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. Scholastic Do The Correlated to the Grade K Do The addition, equals, equation, plus, and sum. Lesson 6, 7, 8, 9 Communicate ideas with key math vocabulary: add, addend, addition, equals, equation, one-digit number, plus, sum, and twodigit number. Lesson 11 Communicate ideas with key math vocabulary: equation, minus, subtract, and subtraction. Lesson 12, 14, 15 Communicate ideas with key math vocabulary: add, addend, addition, equals, equation, minus, plus, subtract, subtraction, and sum. Lesson 16 Communicate ideas with key math vocabulary: difference, equals, equation, minus, subtract, and subtraction. Lesson 17, 18, 19, 29 Communicate ideas with key math vocabulary: add, addition, difference, equals, equation, minus, plus, subtract, subtraction, and sum. Lesson 28 Communicate ideas with key math vocabulary: difference, minus, plus, subtract, and subtraction. Lesson 30 Communicate ideas with key math vocabulary: add, difference, equals, equation, minus, subtraction, and sum. Do The : Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Do The : Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 11, Common Core State Standards and Do The /Page 4

5 Scholastic Do The Correlated to the Grade K Do The Solve take-away word problems Lesson 16, Write and solve comparing and take-away word problems. Lesson 17-18, 28, 30 Write and solve comparing word problems. Lesson Write and solve part-part-whole problems Lesson 26 Solve comparing, take-away, and part-part-whole word problems Do The : Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = and 5 = 4 + 1). Do The : Addition and Subtraction: Number Core Lesson 6 Solving missing-addend problems with a sum of 10. Lesson 8 Solve joining and missing-addend word problems with sums to 10. Lesson 9 Solve missing-addend word problems with sums to 10. Lesson 12, 15 Solve word problems using addition and subtraction. Lesson 14, 17, 18, 19, 20 Add numbers with sums to 10. Lesson 19 Use addition or subtraction to solve subtraction problems. Lesson 24, 25 Use addition strategies to calculate sums.. Do The : Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 4-5 Identify numbers with sums of 10. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Do The : Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Common Core State Standards and Do The /Page 5

6 Scholastic Do The Correlated to the Grade K Do The Do The : Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation. Do The : Addition and Subtraction: Number Core Lesson 1 Identify pairs of addends that make 5. Lesson 2 Identify all possible pairs of addends that make 5. Lesson 2 Given a number, figure how many more to make 5. Lesson 5 Identify pairs of addends with sums to 9. Lesson 6 Solving missing-addend problems with a sum of 10. Lesson 6, 7, 10 Identify pairs of addends that make 10. Lesson 14, 17, 18, 19, 20 Add numbers with sums to 10. Do The : Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 4-5 Identify numbers with sums of 10. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Do The : Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Do The : Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Do The : Addition and Subtraction: Number Core Lesson 6 Solving missing-addend problems with a sum of 10. Lesson 6, 7, 10 Identify pairs of addends that make 10. Common Core State Standards and Do The /Page 6

7 5. Fluently add and subtract within 5. Number & Operations in Base Ten Work with numbers to gain foundations for place value. 1. Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 = 10 +8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones. Scholastic Do The Correlated to the Grade K Do The Lesson 14, 17, 18, 19, 20 Add numbers with sums to 10. Do The : Addition and Subtraction: Number Core Lesson 1 Identify pairs of addends that make 5. Lesson 2 Identify all possible pairs of addends that make 5. Lesson 2 Given a number, figure how many more to make 5. Do The : Addition and Subtraction: A Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19. Lesson Whiteboard Tools: The Hundred Frame: Count by 10s, represent numbers to 100, place-value parts. Lesson Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally. Do The : Addition and Subtraction: C Lesson 6 Communicate ideas with key math vocabulary: expanded form and place value. Lesson 9 Introduce key math vocabulary: digit and place value. Lesson 9, 25, 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. Lesson 10 Communicate ideas with key math vocabulary: expanded form, digit, place value, and equation. Lesson 16 Communicate ideas with key math vocabulary: expanded form. Lesson 18-20, 27 Communicate ideas with key math vocabulary: digit and place Common Core State Standards and Do The /Page 7

8 Scholastic Do The Correlated to the Grade K Do The value. Lesson 21, 26 Communicate ideas with key math vocabulary: expanded form and digit. Lesson 22-23, 28 Communicate ideas with key math vocabulary: digit. Lesson 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. Do The : Addition and Subtraction: Number Core Lesson 21 Write numbers to 20 as tens and ones. Lesson 21 Introduce key math vocabulary: place value. Lesson 21, 22 Communicate ideas with key math vocabulary: one-digit number, place value, and two-digit number. Common Core State Standards and Do The /Page 8

9 Operations & Algebraic Thinking Represent and solve problems involving addition and subtraction. 1. Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. Scholastic Do The Correlated to the Grade 1 Do The Do The : Addition and Subtraction: A Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 8, 10 Solve word problems with two addends with sums to 19. Lesson 13, 15-16, Solve word problems with two addends with sums to 99. Do The : Addition and Subtraction: B Lesson 11, Solve take-away word problems Lesson 16, Write and solve comparing and take-away word problems. Lesson 17-18, 28, 30 Write and solve comparing word problems. Lesson Write and solve part-part-whole problems Lesson 26 Solve comparing, take-away, and part-part-whole word problems. 2. Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. Do The : Addition and Subtraction: Number Core Lesson 8 Solve joining and missing-addend word problems with sums to 10. Lesson 9 Solve missing-addend word problems with sums to 10. Lesson 10 Solve addition word problems with two addends and sums of 10. Lesson 12, 15 Solve word problems using addition and subtraction. Do The : Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Common Core State Standards and Do The /Page 9

10 Scholastic Do The Correlated to the Grade 1 Do The Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 12 Calculate the sum to 19 for more than two addends. Do The : Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson Identify pairs of numbers with sums of 100. Do The : Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 6-8 Calculate sums of two-digit addends. Do The : Addition and Subtraction: Number Core Lesson 6 Solving missing-addend problems with a sum of 10. Lesson 8 Solve joining and missing-addend word problems with sums to 10. Lesson 9 Solve missing-addend word problems with sums to 10. Lesson 12, 15 Solve word problems using addition and subtraction. Lesson 14, 17, 18, 19, 20 Add numbers with sums to 10. Lesson 19 Use addition or subtraction to solve subtraction problems. Lesson 22 Add numbers with sums to 18 by mentally making a 10. Lesson 23 Add numbers with sums from 11 to 18 by making a 10. Lesson 24, 25 Add numbers with sums from 11 to 20. Lesson 24, 25 Use addition strategies to calculate sums. Lesson 26, 27, 29, 30 Calculate sums to 20 for two or more addends. Common Core State Standards and Do The /Page 10

11 Understand and apply properties of operations and the relationship between addition and subtraction. 3. Apply properties of operations as strategies to add and subtract. Examples: If = 11 is known, then = 11 is also known. (Commutative property of addition.) To add , the second two numbers can be added to make a ten, so = = 12. (Associative property of addition.) 4. Understand subtraction as an unknown-addend problem. For example, subtract 10 8 by finding the number that makes 10 when added to 8. Add and subtract within 20. Add and subtract within Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). Scholastic Do The Correlated to the Grade 1 Do The Do The : Addition and Subtraction: C Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems. Do The : Addition and Subtraction: Number Core Lesson 24, 25 Use the Commutative Property to add. Do The : Addition and Subtraction: B Lessons 1, 2, 6: Use the inverse relationship of addition and subtraction to calculate sums and differences. Do The : Addition and Subtraction: Number Core Lesson 6 Solving missing-addend problems with a sum of 10. Lesson 8 Solve joining and missing-addend word problems with sums to 10. Lesson 9 Solve missing-addend word problems with sums to 10. Lesson 24, 25 Use addition strategies to calculate sums. Do The : Addition and Subtraction: A Lesson 18 Communicate ideas with key math vocabulary: add, equation, plus, equals, and multiples of 10. Lesson 19, Communicate ideas with key math vocabulary: add, equation, plus, equals, sum, and multiples of 10. Do The : Addition and Subtraction: Number Core Lesson 2, 3, 5, 23, 24, 25, 26, 27 Communicate ideas with key math vocabulary: add, addend, addition, equals, equation, plus, and sum. Lesson 6, 7, 8, 9 Communicate ideas with key math vocabulary: add, addend, Common Core State Standards and Do The /Page 11

12 6. Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., = = = 14); decomposing a number leading to a ten (e.g., 13 4 = = 10 1 = 9); using the relationship between addition and subtraction (e.g., knowing that = 12, one knows 12 8 = 4); and creating equivalent but easier or known sums (e.g., adding by creating the known equivalent = = 13). Scholastic Do The Correlated to the Grade 1 Do The addition, equals, equation, one-digit number, plus, sum, and twodigit number. Lesson 11 Communicate ideas with key math vocabulary: equation, minus, subtract, and subtraction. Lesson 12, 14, 15 Communicate ideas with key math vocabulary: add, addend, addition, equals, equation, minus, plus, subtract, subtraction, and sum. Lesson 16 Communicate ideas with key math vocabulary: difference, equals, equation, minus, subtract, and subtraction. Lesson 17, 18, 19, 29 Communicate ideas with key math vocabulary: add, addition, difference, equals, equation, minus, plus, subtract, subtraction, and sum. Lesson 28 Communicate ideas with key math vocabulary: difference, minus, plus, subtract, and subtraction. Lesson 30 Communicate ideas with key math vocabulary: add, difference, equals, equation, minus, subtraction, and sum. Do The : Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 12 Calculate the sum to 19 for more than two addends. Do The : Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson Common Core State Standards and Do The /Page 12

13 Scholastic Do The Correlated to the Grade 1 Do The Identify pairs of numbers with sums of 100. Do The : Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 6-8 Calculate sums of two-digit addends. Do The : Addition and Subtraction: Number Core Lesson 1 Identify pairs of addends that make 5. Lesson 2 Identify all possible pairs of addends that make 5. Lesson 2 Given a number, figure how many more to make 5. Lesson 5 Identify pairs of addends with sums to 9. Lesson 6 Solving missing-addend problems with a sum of 10. Lesson 6, 7, 10 Identify pairs of addends that make 10. Lesson 8 Solve joining and missing-addend word problems with sums to 10. Lesson 9 Solve missing-addend word problems with sums to 10. Lesson 10 Solve addition word problems with two addends and sums of 10. Lesson 12, 15 Solve word problems using addition and subtraction. Lesson 14, 17, 18, 19, 20 Add numbers with sums to 10. Lesson 19 Use addition or subtraction to solve subtraction problems. Lesson 22 Add numbers with sums to 18 by mentally making a 10. Lesson 23 Add numbers with sums from 11 to 18 by making a 10. Lesson 24, 25 Add numbers with sums from 11 to 20. Lesson 26, 27, 29, 30 Calculate sums to 20 for two or more addends. Lesson 28, 29, 30 Subtract one-digit numbers from numbers to 20. Common Core State Standards and Do The /Page 13

14 Work with addition and subtraction equations. 7. Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 1, = 2 + 5, = Scholastic Do The Correlated to the Grade 1 Do The Do The : Addition and Subtraction: A Lessons 1-5, 7-13, Communicate ideas with key math vocabulary: add, equation, plus, equals, and sum. Lessons 17, 20, 21 Communicate ideas with key math vocabulary: add, equation, plus, and equals. Lessons 18-19, Communicate ideas with key math vocabulary: add, equation, plus, equals, and multiples of Determine the unknown whole number in an addition or subtraction equation relating Do The : Addition and Subtraction: Number Core Lesson 2, 3, 5, 23, 24, 25, 26, 27 Communicate ideas with key math vocabulary: add, addend, addition, equals, equation, plus, and sum. Lesson 6, 7, 8, 9 Communicate ideas with key math vocabulary: add, addend, addition, equals, equation, one-digit number, plus, sum, and twodigit number. Lesson 11 Communicate ideas with key math vocabulary: equation, minus, subtract, and subtraction. Lesson 12, 14, 15 Communicate ideas with key math vocabulary: add, addend, addition, equals, equation, minus, plus, subtract, subtraction, and sum. Lesson 16 Communicate ideas with key math vocabulary: difference, equals, equation, minus, subtract, and subtraction. Lesson 17, 18, 19, 29 Communicate ideas with key math vocabulary: add, addition, difference, equals, equation, minus, plus, subtract, subtraction, and sum. Lesson 28 Communicate ideas with key math vocabulary: difference, minus, plus, subtract, and subtraction. Lesson 30 Communicate ideas with key math vocabulary: add, difference, equals, equation, minus, subtraction, and sum. Do The : Addition and Subtraction: B Lesson 24: Write and solve part-part-whole problems. Common Core State Standards and Do The /Page 14

15 three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 +? = 11, 5 = _ 3, = _. Number & Operations in Base Ten Extend the counting sequence. 1. Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral. Scholastic Do The Correlated to the Grade 1 Do The Lesson 26: Solve comparing, take-away, and part-part-whole word problems. Do The : Addition and Subtraction: Number Core Lesson 6 Solving missing-addend problems with a sum of 10. Lesson 8 Solve joining and missing-addend word problems with sums to 10. Lesson 9 Solve missing-addend word problems with sums to 10. Lesson 12, 15 Solve word problems using addition and subtraction. Lesson 19 Use addition or subtraction to solve subtraction problems. Lesson 24, 25 Use addition strategies to calculate sums. Children read and write numerals throughout the program. See for example, Do The : Addition and Subtraction: A Lessons 12-14, 27: Write any two-digit number as tens and ones. Understand place value. 2. Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases: 10 can be thought of as a bundle of ten ones called a ten. The numbers from 11 to 19 are composed of a ten and Do The : Addition and Subtraction: Number Core Lesson 3 Identify numbers to 10 using the benchmark of 5. Lesson 21 Write numbers to 20 as tens and ones. Lesson 22 Identify numbers to 18 using Quick Look cards. Do The : Addition and Subtraction: A Lessons 12-14, 27: Write any two-digit number as tens and ones. Lessons 22-23: Communicate ideas with key math vocabulary: add, equation, plus, equals, sum, and multiples of 10. Do The : Addition and Subtraction: Number Core Lesson 21 Describe 10 as one ten and zero ones. Common Core State Standards and Do The /Page 15

16 one, two, three, four, five, six, seven, eight, or nine ones. The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones). 3. Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <. Scholastic Do The Correlated to the Grade 1 Do The Lesson 21 Write numbers to 20 as tens and ones. Lesson 21 Introduce key math vocabulary: place value. Lesson 21, 22 Communicate ideas with key math vocabulary: one-digit number, place value, and two-digit number. The opportunity to meet this objective is available. For example, see: Do The : Addition and Subtraction: A Lessons 12-14, 27: Write any two-digit number as tens and ones. Do The : Addition and Subtraction: B Lessons 16-20: Write and solve comparing and take-away word problems. Use place value understanding and properties of operations to add and subtract. 4. Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten. Do The : Addition and Subtraction: Number Core Lesson 21 Describe 10 as one ten and zero ones. Lesson 21 Write numbers to 20 as tens and ones. Do The : Addition and Subtraction: A Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 8, 10 Solve word problems with two addends with sums to 19. Lesson 13, 15-16, Solve word problems with two addends with sums to 99. Do The : Addition and Subtraction: B Lesson 11, Solve take-away word problems Lesson 16, Write and solve comparing and take-away word problems. Lesson 17-18, 28, 30 Write and solve comparing word problems. Lesson Write and solve part-part-whole problems Lesson 26 Common Core State Standards and Do The /Page 16

17 Scholastic Do The Correlated to the Grade 1 Do The Solve comparing, take-away, and part-part-whole word problems. 5. Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used. Do The : Addition and Subtraction: Number Core Lesson 11, 12, 13, 14, 15, 16, 17, 18, 20 Subtract one-digit numbers from numbers to 10. Lesson 12, 15 Solve word problems using addition and subtraction. Lesson 14, 17, 18, 19, 20 Add numbers with sums to 10. Lesson 22 Add numbers with sums to 18 by mentally making a 10. Lesson 23 Add numbers with sums from 11 to 18 by making a 10. Lesson 24, 25 Add numbers with sums from 11 to 20. Lesson 26, 27, 29, 30 Calculate sums to 20 for two or more addends. Lesson 28, 29, 30 Subtract one-digit numbers from numbers to 20. Do The : Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 12 Calculate the sum to 19 for more than two addends. Do The : Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson Identify pairs of numbers with sums of 100. Do The : Addition and Subtraction: C Common Core State Standards and Do The /Page 17

18 6. Subtract multiples of 10 in the range from multiples of 10 in the range (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Scholastic Do The Correlated to the Grade 1 Do The Lesson 1-5 Calculate sums with addends up to 10. Lesson 6-8 Calculate sums of two-digit addends. The opportunity to meet this objective is available. For example, see: Do The : Addition and Subtraction: B Lessons 1-30 Calculate the difference between numbers up to 100. Common Core State Standards and Do The /Page 18

19 Operations & Algebraic Thinking Represent and solve problems involving addition and subtraction. 1. Use addition and subtraction within 100 to solve one- and twostep word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. Add and subtract within Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers. Scholastic Do The Correlated to the Grade 2 Do The Do The : Addition and Subtraction: A Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 8, 10 Solve word problems with two addends with sums to 19. Lesson 13, 15-16, Solve word problems with two addends with sums to 99. Do The : Addition and Subtraction: B Lesson 11, Solve take-away word problems Lesson 16, Write and solve comparing and take-away word problems. Lesson 17-18, 28, 30 Write and solve comparing word problems. Lesson Write and solve part-part-whole problems Lesson 26 Solve comparing, take-away, and part-part-whole word problems. Do The : Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 12 Calculate the sum to 19 for more than two addends. Do The : Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Common Core State Standards and Do The /Page 19

20 Scholastic Do The Correlated to the Grade 2 Do The Lesson 2 Calculate the difference between numbers up to 10. Lesson Identify pairs of numbers with sums of 100. Number & Operations in Base Ten 1. Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases: 100 can be thought of as a bundle of ten tens called a hundred. The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones) 2. Count within 1000; skip count by 2s, 5s, 10s, and 100s. 3. Read and write numbers to 1000 using base-ten notation, number names, and expanded form. Do The : Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 6-8 Calculate sums of two-digit addends. Do The : Addition and Subtraction: A Lesson Write any two-digit number as tens and ones. Do The : Addition and Subtraction: C Lessons 6, 9, 10, 18-23, Communicate ideas with key math vocabulary: digit, place value. Do The : Addition and Subtraction: A Lesson 18 Introduce key math vocabulary: multiples of 10. Lesson 18 Communicate ideas with key math vocabulary: add, equation, plus, equals, and multiples of 10. Lesson 19, Communicate ideas with key math vocabulary: add, equation, plus, equals, sum, and multiples of 10. Do The : Addition and Subtraction: A Lesson Write any two-digit number as tens and ones. Do The : Addition and Subtraction: C Lesson 6-8 Write numbers to 99 in expanded form. Lesson 6 Common Core State Standards and Do The /Page 20

21 4. Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons. Scholastic Do The Correlated to the Grade 2 Do The Communicate ideas with key math vocabulary: expanded form and place value. Lesson 9-10 Write numbers to 999 in expanded form. Lesson 9 Introduce key math vocabulary: digit and place value. Lesson 9, 25, 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. Lesson 10 Communicate ideas with key math vocabulary: expanded form, digit, place value, and equation. Lesson 16 Communicate ideas with key math vocabulary: expanded form. Lesson 18-20, 27 Communicate ideas with key math vocabulary: digit and place value. Lesson 21, 26 Communicate ideas with key math vocabulary: expanded form and digit. Lesson 22-23, 28 Communicate ideas with key math vocabulary: digit. Lesson 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. The opportunity to meet this objective is available. For example, see: Do The : Addition and Subtraction: C Lesson 6-8 Write numbers to 99 in expanded form. Lesson 6 Communicate ideas with key math vocabulary: expanded form and place value. Lesson 9-10 Write numbers to 999 in expanded form. Lesson 9 Introduce key math vocabulary: digit and place value. Lesson 9, 25, 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. Lesson 10 Communicate ideas with key math vocabulary: expanded form, digit, place value, and equation. Common Core State Standards and Do The /Page 21

22 Use place value understanding and properties of operations to add and subtract. 5. Fluently add and subtract within 20. By end of Grade 2, know from memory sums of one-digit numbers. Scholastic Do The Correlated to the Grade 2 Do The Lesson 16 Communicate ideas with key math vocabulary: expanded form. Lesson 18-20, 27 Communicate ideas with key math vocabulary: digit and place value. Lesson 21, 26 Communicate ideas with key math vocabulary: expanded form and digit. Lesson 22-23, 28 Communicate ideas with key math vocabulary: digit. Lesson 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. Do The : Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 12 Calculate the sum to 19 for more than two addends. Do The : Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson Identify pairs of numbers with sums of 100. Do The : Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 6-8 Common Core State Standards and Do The /Page 22

23 6. Add up to four two-digit numbers using strategies based on place value and properties of operations. 7. Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds. Scholastic Do The Correlated to the Grade 2 Do The Calculate sums of two-digit addends. Do The : Addition and Subtraction: C Lessons Calculate sums and differences of two- and three-digit numbers. The opportunity to meet this objective is available. For example, see: Do The : Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 11-14, 16, 18, 27 Write any two-digit number as tens and ones. Lesson 12 Calculate the sum to 19 for more than two addends. Do The : Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson Identify pairs of numbers with sums of 100. Do The : Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 6-8 Calculate sums of two-digit addends Lesson 9-10 Calculate sums of three-digit addends. Lesson Calculate sums and differences of two- and three-digit numbers. 8. Mentally add 10 or 100 to a The opportunity to meet this objective is available. For example, Common Core State Standards and Do The /Page 23

24 given number , and mentally subtract 10 or 100 from a given number Scholastic Do The Correlated to the Grade 2 see: Do The Do The : Addition and Subtraction: A Lesson 18 Introduce key math vocabulary: multiples of 10. Lesson 18 Communicate ideas with key math vocabulary: add, equation, plus, equals, and multiples of 10. Lesson 19, Communicate ideas with key math vocabulary: add, equation, plus, equals, sum, and multiples of Explain why addition and subtraction strategies work, using place value and the properties of operations The opportunity to meet this objective is available. For example, see: Do The : Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 11-14, 16, 18, 27 Write any two-digit number as tens and ones. Lesson 12 Calculate the sum to 19 for more than two addends. Do The : Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson Identify pairs of numbers with sums of 100. Do The : Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Common Core State Standards and Do The /Page 24

25 Scholastic Do The Correlated to the Grade 2 Do The Lesson 6-8 Calculate sums of two-digit addends Lesson 9-10 Calculate sums of three-digit addends. Lesson Calculate sums and differences of two- and three-digit numbers. Common Core State Standards and Do The /Page 25

26 Operations & Algebraic Thinking Represent and solve problems involving multiplication and division. 1. Interpret products of whole numbers, e.g., interpret 5 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 7. Scholastic Do The Correlated to the Grade 3 Do The Do The : Multiplication: A Lesson 2-5, 8-10, 19 Represent combining equal groups with related addition and multiplication equations. Lesson 6-7 Identify examples of equal groups. Lesson 9 Represent equal groups with rows of tiles. Lesson 21-22, 24 Represent combining equal rows with multiplication equations. 2. Interpret whole-number quotients of whole numbers, e.g., interpret 56 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as Do The : Multiplication: B Lesson 5-6, 8-11, 17, 20, Represent rectangles with multiplication equations. Do The : Division: A Lesson 11 Write and solve division word problems for grouping situations. Lesson Write and solve division word problems for both sharing and grouping situations. Lesson Solve division word problems for both sharing and grouping situations. Do The : Division: B Lessons 7, 10 Represent sharing situations as division. Solve word problems for sharing situations. Do The : Division: C Lessons 9-17, 21, 26-27, 30 Represent sharing situations as division. Solve problems for sharing situations. 3. Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings Do The : Multiplication: A Lesson 26 Write and solve word problems that involve finding products. Do The : Division: A Common Core State Standards and Do The /Page 26

27 and equations with a symbol for the unknown number to represent the problem. Scholastic Do The Correlated to the Grade 3 Do The Lesson 11 Write and solve division word problems for grouping situations. Lesson Write and solve division word problems for both sharing and grouping situations. Lesson Solve division word problems for both sharing and grouping situations. 4. Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8? = 48, 5 = _ 3, 6 6 =? Do The : Division: B Lesson 7, 10 Solve word problems or sharing situations. The following matches provide opportunities to meet this objective. Do The : Multiplication: A Lesson 2, Communicate ideas with key math vocabulary: equal, multiplication, multiplication equation, and times. Lesson 3-4, 8-9, 11-15, Communicate ideas with key math vocabulary: equal, multiplication equation, and times. Lesson 6-7 Communicate ideas with key math vocabulary: equal. Lesson 16 Communicate ideas with key math vocabulary: factor, multiplication, multiplication equation, multiply, product, and times. Lesson 17-18, 21 Communicate ideas with key math vocabulary: factor, multiplication equation, product, and times. Lesson 19, 24 Communicate ideas with key math vocabulary: multiplication equation and times. Lesson 20 Communicate ideas with key math vocabulary: factor, multiplication equation, and product. Lesson 22 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, multiplication equation, product, and times. Lesson 23 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, Common Core State Standards and Do The /Page 27

28 Scholastic Do The Correlated to the Grade 3 Do The multiplication equation, product, and times. Lesson 30 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, multiplication equation, and product. Do The : Multiplication: B Lesson 2-5, 9-11, 22 Communicate ideas with key math vocabulary: multiplication equation, factor, and product. Lesson 6-7, 27-28, 30 Communicate ideas with key math vocabulary: multiplication equation and product. Lesson 8 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and Commutative Property of Multiplication. Lesson 15 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and multiple. Lesson 20 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and square number. Lesson 26 Communicate ideas with key math vocabulary: multiplication equation, factor, product, Commutative Property of Multiplication, multiple, and square number. Lesson 29 Communicate ideas with key math vocabulary: multiplication equation, factor and product. Do The : Division: B Lesson 1, 10, 12 Communicate ideas with key math vocabulary: division equation. Lesson 2 Communicate ideas with key math vocabulary: division equation, dividend, divisor, and quotient. Lesson 3, 16-19, 29 Communicate ideas with key math vocabulary: division equation, dividend, divisor, quotient, remainder, and divisible. Lesson 4-6, 13, 27 Communicate ideas with key math vocabulary: division equation and divisible. Lesson 7 Communicate ideas with key math vocabulary: division equation, Common Core State Standards and Do The /Page 28

29 Scholastic Do The Correlated to the Grade 3 Do The remainder, and divisible. Lesson 8-9 Communicate ideas with key math vocabulary: division equation, divisible, and remainder. Lesson Communicate ideas with key math vocabulary: division equation, dividend, and divisible. Lesson 20 Communicate ideas with key math vocabulary: division equation, quotient, and remainder. Lesson Communicate ideas with key math vocabulary: division equation, dividend, divisor, quotient, and remainder. Lesson 30 Communicate ideas with key math vocabulary: division equation and remainder. Understand properties of multiplication and the relationship between multiplication and division 5. Apply properties of operations as strategies to multiply and divide. Examples: If 6 4 = 24 is known, then 4 6 = 24 is also known. (Commutative property of multiplication.) can be found by 3 5 = 15, then 15 2 = 30, or by 5 2 = 10, then 3 10 = 30. (Associative property of multiplication.) Knowing that 8 5 = 40 and 8 2 = 16, one can find 8 Do The : Division: C Lesson 1 Communicate ideas with key math vocabulary: division equation, dividend, divisor, quotient, and remainder. Lesson 3 Communicate ideas with key math vocabulary: division equation, remainder, and divisible. Lesson 5 Communicate ideas with key math vocabulary: division equation. Lesson 29 Communicate ideas with key math vocabulary: division equation, dividend, divisor, quotient, remainder, and divisible. Do The : Multiplication: A Lesson 22 Introduction key math vocabulary: Commutative Property of Multiplication. Lesson 22 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, multiplication equation, product, and times. Lesson 23 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, Common Core State Standards and Do The /Page 29

30 7 as 8 (5 + 2) = (8 5) + (8 2) = = 56. (Distributive property.) Scholastic Do The Correlated to the Grade 3 Do The multiplication equation, product, and times. Lesson 25, 30 Write examples for the Commutative Property of Multiplication using factors 0 through 6. Lesson 25 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, and product. Lesson 30 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, multiplication equation, and product. Do The : Multiplication: B Lesson 3-4, 6, 8-9, 21 Use the Commutative Property of Multiplication to solve problems. Lesson 8, 22 Introduce key math vocabulary: Commutative Property of Multiplication. Lesson 8 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and Commutative Property of Multiplication. Lesson 21 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, and multiple. Lesson 26 Communicate ideas with key math vocabulary: multiplication equation, factor, product, Commutative Property of Multiplication, multiple, and square number. Do The : Multiplication: C Lesson 1, 6-8, 10, 17-20, 22-28, 30 Use the Distributive Property of Multiplication. Lesson 3 Use the Commutative and Associative Properties of Multiplication. Lesson 3 Introduce key math vocabulary: Commutative Properties of Multiplication and Associative Properties of Multiplication. Lesson 3 Communicate ideas with key math vocabulary: factor, product, Commutative Properties of Multiplication, and Associative Properties of Multiplication. Lesson 4-5, 13-16, 21 Common Core State Standards and Do The /Page 30

31 6. Understand division as an unknown-factor problem. For example, find 32 8 by finding the number that makes 32 when multiplied by 8. Scholastic Do The Correlated to the Grade 3 Do The Use the Commutative, Associative, and Distributive Properties of Multiplication. Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate. The following matches provide opportunities to meet this objective. Do The : Division: B Lesson 1-6, 21-28, 30 Use the inverse relationship between division and multiplication to solve problems. Lesson 4-15 Write related multiplication and division equations. Multiply and divide within Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 5 = 40, one knows 40 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers. Do The : Division: C Lesson 2-3, 5 Write related multiplication and division equations. Lesson 8-15 Use the inverse relationship between division and multiplication to solve problems. Do The : Multiplication: A Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Do The : Multiplication: B Lesson 1-21, 23-25, Calculate products with factors 0 through 12. Lesson 22-23, 25, Recall products with factors 0 though 12. Do The : Multiplication: C Lesson 1, 3, 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 6 Calculate products with one-digit factors times 11 Lesson Calculate products of one-digit factors or two-digit factors times Common Core State Standards and Do The /Page 31