Sample Unit of Focus Lessons: Subtraction within 20 Grade: Primary Monday Tuesday Wednesday Thursday Friday Counting backwards by 1s to a given number Introducing subtraction number models Solving 1-digit by 1digit change-to-less stories Solving subtraction number problems using pennies and nickels Counting forward and backward on a number line Subtracting on the number line Counting forward and backward by 2s, 3s, 5s, and 10s Writing number models for 1-digit by 1-digit change-to-less stories using the symbols – and = Finding missing numbers in a framesand-arrows problem Solving number stories involving addition and subtraction Acting out number stories involving addition and subtraction Using addition and subtraction to solve “What’s my rule?” problems Learning about addition/subtraction fact families Writing fact families for dominoes Finding values with sets of coins Solving coin problems Using fact triangles to see the relationship between addition and subtraction Making exchanges between coins Making change Spending ten dollars Solve number stories involving subtraction of 2-digit numbers Write subtraction number sentences using – and = Using a number grid to subtract 1s and 10s from 2-digit numbers Determining the unknown number in a subtraction equation Using the Addition/Subtraction Facts Table to find sums of 1-digit whole numbers Using the Addition/Subtraction Table to find sums and differences Making dollar exchanges Using a number grid to solve subtraction problems Subtracting multiples of ten in the range of 10-90 Counting forward and backward on a calculator using +, - , and = symbols Finding equivalent names for numbers using addition and subtraction Using addition to check answers for subtraction facts Solve and record money number stories and solutions Sharing strategies used to subtract 2-digit numbers Using mental math to find 10 more and 10 less in the range of 10-90 Note: Lessons highlighted in pink illustrate Everyday Math integration from EM Teacher’s Guide November 2012 Unit Resources End of Unit Outcomes At end of this unit students will be able to: (2011 MA Curriculum Framework for Mathematics) OA1. OA3. OA4. OA5. OA6. OA7. OA8. MA.9. 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.1 Apply properties of operations as strategies to add and subtract. 2 Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.) Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the number that makes 10 when added to 8. Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use mental strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). 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, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2. Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 + ? = 11, 5 = – 3, 6 + 6 = . Write and solve number sentences from problem situations that express relationships involving Note: Lessons highlighted in pink illustrate Everyday Math integration from EM Teacher’s Guide November 2012 addition and subtraction within 20. NBT1. 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. NBT2. Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases: a. 10 can be thought of as a bundle of ten ones—called a “ten.” b. The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones. c. 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). NBT4. 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. NBT5. Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used. NBT6. Subtract multiples of 10 in the range 10–90 from multiples of 10 in the range 10–90 (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. Mathematical Practices By the end of this unit, students will be able to: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Note: Lessons highlighted in pink illustrate Everyday Math integration from EM Teacher’s Guide November 2012 Sample List of Integrated Everyday Math Lessons (From Grade 1 Teacher’s Guide) For adaptation as focus lessons in this unit Everyday Math Games For use during Independent Problem-Solving connected to this unit 2.12 Subtraction Number Models 2.13 Number Stories 3.5 Counting on the Number Line 5.8 Solving Number Stories 5.12 What’s My Rule? 6.1 The Addition/Subtraction Facts Table 6.2 Equivalent Names 6.3 Fact Families 6.4 Fact Triangles 6.5 Using the Facts Table for Subtraction 8.1 Review: Money 8.2 Dollars 8.4 Shopping at the School Store 8.5 Making Change 9.2 Adding and Subtracting Tens 9.4 Adding and Subtracting 2-Digit Numbers 2.13 Coin Top-It 3.6 Bunny Hop 5.7 Difference Game 6.5 Penny Plate 8.1 Coin Exchange 8.2 One Dollar Exchange 8.5 3, 2, 1 Game 9.2 Number Grid Game Note: Lessons highlighted in pink illustrate Everyday Math integration from EM Teacher’s Guide November 2012