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In class Activity. Section 7.1. Weight lifting. Sarah and Casey are comparing how much weight they can lift on the pull down machine. The weight lifted is determined by the number of metal bars in the lifted stack. . Weight lifting – Part 1. We know that 5 bars weigh 30 lbs. together
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In class Activity Section 7.1
Weight lifting • Sarah and Casey are comparing how much weight they can lift on the pull down machine. • The weight lifted is determined by the number of metal bars in the lifted stack. IDMT 2010
Weight lifting – Part 1 We know that 5 bars weigh 30 lbs. together If the machine holds 7 bars, what are the amounts of weight that can be lifted? If Casey can lift two more bars than Sarah, how much more weight can Casey lift? What if each bar weighs 5.2 lbs? IDMT 2010
Weight lifting – Part 2 Casey and Sarah realize that the hook and cord used to pull the bars actually weighs 4 lbs. How does this change your answers to the previous questions? IDMT 2010
Chocolate Problem If you have $10 to spend on $2 Hershey’s bars and $1 Tootsie Rolls, how many ways can you spend all your money without receiving change? IDMT 2010 Adapted from Hyde, A., 2006, MTMS
Chocolate Problem • If you have $27 to spend on $5 Toblerone chocolate bars and $1 Tootsie Rolls, how many ways can you spend all your money without receiving change? • What if you have $37 to spend on $5 Toblerone chocolate bars and $2 Tootsie Rolls? IDMT 2010
Saving up Marcus suspects that his big sister Jess is saving up for a new video game. One weekend, she sold some old games and put the money in a jar. Each weekend after that, she adds some of her babysitting money to the jar. IDMT 2010
Saving up Marcus assumes that Jess adds the same amount to the jar each week. • He knows that 2 weeks after she started saving there was $27 in the jar. • After 5 weeks there was $42 in the jar. How much money did Jess get for the old video games? If a new game costs $59.99, how long will it take Jess to save up enough money? IDMT 2010
Seed Packets – Part 1 Joey is in science class and his group is given 8 packages of seeds. They dumped them on the table and found there were 76 seeds. Pumpkin seeds come in packages of 12 and sunflower seeds come in packages of 8. How many pumpkin and sunflower packages does Joey’s group have? IDMT 2010
Seed Packets – Part 2 a) What if there were 76 seeds but we didn’t know how many packets they had? What combinations of packages give 76 seeds? b) What if we knew they had 8 packages but did not know the total number of seeds? What different seed totals are possible? IDMT 2010
Spending Money at the Game How much does a t-shirt cost? How much is a drink? Explain how you found your answers. IDMT 2010 From Teaching Mathematics through Problem Solving, 6-12 NCTM (2003)
Food at the movies Cardiff Family Spends $12 Hughes Family Spends $19 How much does 1 popcorn cost? How much does 1 drink cost cost? IDMT 2010