Moving with Algebra Sampler

Concrete Manipulative Representational Picture Abstract WrittenSymbol CRA Instruction Model 5 for ALL Students Lesson Plans 70 ©MathTeachersPress, Inc. Reproduction by anymeans is strictly prohibited. 15 Adding Positive and Negative Integers Cathy gained 2 pounds in January.She lost 5 pounds inFebruary.Whatwas the net change in herweight? Use two black cubes to represent gains and fivewhite cubes to represent losses. + + 2 – 5 Join the two numbers.One positive cube cancels out one negative cube. Howmany cubes are unmatched? What color are the unmatched cubes? There are three unmatchedwhite cubes. + 2 + ( – 5) = – 3 Write the integers.Count to find thesum. 1. ________ + ________ = ________ 3. ________ + ________ = ________ 5. ________ + ________ = ________ 2. ________ + ________ = ________ 4. ________ + ________ = ________ 6. ________ + ________ = ________ + + + + + + I I 7. On the first down, a football team gains 3 yards.On the second down, they lose 5 yards.What is their result for the 2 downs? _______ . Sara spent $10 onCDRs.She received a rebate of $3.Whatwas the final cost of theCDRs? _______ 3 -4 -1 -3 2 -1 4 -6 -2 3 -3 0 5 -7 -2 -7 4 -3 $7 -2 Objective: To add positive and negative integers. Materials: Black and white cubes (or positive and negative integer squares, Master 9), 2 clear jars, playing cards Adding Positive Integers Write on the board: Sue earned $5 one day and $2 the next day. How much did she earn? Remind students to build the first number and then add the second number to it. (5 black + 2 black = 7 black) Write on the board: + 5 + + 2 = + 7 Adding Negative Integers Write on the board: A football team lost 5 yards on the first play and lost 4 yards on the second play. What was the total gain or loss? Have students use white cubes to show the addition of negative integers. (5 white + 4 white = 9 white) Write on the board: – 5 + ( – 4) = – 9 Adding Positive and Negative Integers Write on the board: A football team lost 5 yards on the first play and gained 9 yards on the second play. What was the total gain or loss? Then, have students use black and white cubes to solve the problem. Put 5 white cubes in a clear jar. Add 9 black cubes to the jar. Pour the cubes out of the jar. What is the value of a positive 1 and a negative 1? (zero) Show the pairing of 5 white cubes with 5 black cubes, leaving 4 black cubes. Write on the board: – 5 + + 9 = + 4 Have students use models (black and white cubes or squares) to find the answers and complete the page on their own. Greatest Sum of Integers Divide the class into groups of two, each with a deck of playing cards with face cards removed. Twenty cards are dealt to each player. The black cards will have positive values and the red cards will have negative values. Players take turns turning over 5 cards at a time and adding the values shown. Example: After each player has turned over all 20 cards (in groups of 5), players find the sum of their sums. The player with the higher sum is the winner. Encourage students to explain to each other the strategies they use to find the sum. Skill Builders p. 56 – 5 + 7 – 9 + 2 – 4 sum = – 9 © MathTeachers Press, Inc. 70 Adding Positive and Negative Integers Cathy gained 2 pounds in January. She lost 5 pounds in February.What was the net change in her weight? Use two black cubes to represent gains and five white cubes to represent losses. + + 2 – 5 Join the two numbers. One positive cube cancels out one negative cube. How many cubes are unmatched? What color are the unmatched cubes? There are three unmatched white cubes. + 2 + ( – 5) = – 3 Write the integers. Count to find the sum. 1. ________ + ________ = ________ 3. ________ + ________ = ________ 5. ________ + ________ = ________ 2. ________ + ________ = ________ 4. ________ + ________ = ________ 6. ________ + ________ = ________ + + + + + + I I 7. On the first down, a football team gains 3 yards. On the second down, they lose 5 yards.What is their result for the 2 downs? _______ 8. Sara spent $10 on CDRs. She received a rebate of $3.What was the final cost of the CDRs? _______ Moving with Algebra has been designed to guide and support teachers through all phases of planning, teaching, and assessing . Pages 7–17 will guide you through our teacher-friendly curriculum. Start at Step 1 and continue through Step 7 . CONCRETE REPRESENTATIONAL ABSTRACT