Name. Use Two-Color Counters to model each addition problem. Make pairs of red and yellow counters. Find the sum.

Transcription

1 Lesson 1 The Number System Name Use Two-Color Counters to model each addition problem. Make pairs of red and yellow counters. Find the sum ( 10) Using Two-Color Counters, model each addition problem. Sketch the model. Find the sum ( 4) ( 3) Find each sum ( 6) ( 18) ( 21) ( 14) ( 18) ( 50)

2 Name Challenge! Explain how to add two integers if one is a negative number and one is a positive number. When will the sum be negative? When will the sum be positive? 29

3 Lesson 2 The Number System Name Use Algeblocks unit blocks and an Algeblocks Basic Mat to model each integer addition sentence. Make zero pairs. Write the sum ( 8) = = Using Algeblocks unit blocks and an Algeblocks Basic Mat, model each addition sentence. Sketch the model. Circle zero pairs. Write the sum ( 7) = ( 5) = Find each sum ( 2) = ( 4) = ( 11) = = ( 4) = = = ( 7) = 32

4 Name Challenge! Describe how to find a sum of two integers when the signs of the integers are different. How do you decide the sign of the sum? 33

5 Lesson 3 The Number System Name Use Two-Color Counters to model each subtraction problem. Write the number sentence for the difference. 1. = 1 = 1 2. Using Two-Color Counters, model each subtraction problem. Sketch the model. Find the difference ( 4) Find each difference ( 6) ( 7) 36

6 Name Challenge! Rewrite Questions 5 8 as addition problems. Find the sum. Did your answers change? Explain. 37

7 Lesson 4 The Number System Name Use Algeblocks unit blocks and an Algeblocks Basic Mat to model the integer subtraction sentence. Make zero pairs. Write the difference. Explain your work ( 5) = Using Algeblocks unit blocks and an Algeblocks Basic Mat, model each subtraction sentence. Sketch the model. Make zero pairs. Write the difference = = Find each difference ( 1) = ( 7) = 6. 8 ( 12) = = = 9. 9 ( 8) = ( 16) = ( 15) = 40

8 Name Challenge! For the following subtraction problems, which ones require you to place additional unit blocks that equal zero pairs so that you can take away the number being subtracted? Explain ( 1) 7 ( 1) 41

9 Lesson 5 The Number System Name Use Two-Color Counters to model each multiplication problem. Use a number line to help. Write a number sentence for the product = 1 = 1 Using Two-Color Counters, model each multiplication problem. Sketch the model. Write the product ( 4) ( 5) Find each product ( 6) 6. 5 ( 7) ( 1) ( 7) 44

10 Name Challenge! What do you notice about the product when the factors have different signs? What do you notice about the product when the factors have the same signs? Draw pictures to help. 45

11 Lesson 6 The Number System Name Use Algeblocks unit blocks, an Algeblocks Quadrant Mat, and an Algeblocks Factor Track. Model each integer multiplication sentence. Find each product = 2. 3 ( 4) = Using Algeblocks unit blocks, an Algeblocks Quadrant Mat, and an Algeblocks Factor Track, model each multiplication sentence. Sketch the model. Find the product ( 2) = 4. 5 ( 4) = Find each product ( 6) = 6. 7 ( 3) = = = 9. 5 ( 6) = ( 6) = ( 8) = ( 1) = 48

12 Name Challenge! If the product of two integers is positive, what can you conclude about the factors? Draw a picture to help. 49

13 Lesson 7 The Number System Name Use Two-Color Counters to model each division problem. Write a number sentence for the quotient. 1. = 1 = 1 Using Two-Color Counters, model each division problem. Sketch the model. Find the quotient Find each quotient ( 7) = ( 5) = = 7. 9 ( 3) = ( 6) = ( 7) = 52

14 Name Challenge! How do the rules for dividing integers differ from the rules for multiplying integers? Draw pictures to help. 53

15 Lesson 8 The Number System Name Use Algeblocks unit blocks, an Algeblocks Quadrant Mat, and an Algeblocks Factor Track. Model each integer division sentence. Find each quotient ( 3) = (5) = Using Algeblocks unit blocks, an Algeblocks Quadrant Mat, and an Algeblocks Factor Track, model each division sentence. Sketch the model. Find each quotient ( 7) = (5) = Find each quotient ( 6) = ( 3) = = = = ( 4) = ( 2) = ( 5) = 56

16 Name Challenge! How do the rules for adding and subtracting integers differ from the rules for multiplying and dividing integers? 57