A Few Patterns Answer Key Toothpick Houses Build or draw the following sequences of houses made from toothpicks. Fill in the following table: Houses 1 2 3 4 7 Number of Toothpicks 6 11 16 21 36 See if you can come up with a way to predict the number of toothpicks needed to build any number of houses. Describe your method. Multiply the number of houses times 5 and add 1. Each new house adds 5 toothpicks. The number of toothpicks will be 6 times the house number minus the previous house number – for house 2, 2 * 6 = 12 – 1 = 11 Using your method, see if you can fill in the missing parts of the table: Houses 5 6 8 12 20 100 10 15 80 Toothpicks 26 31 41 61 101 501 51 76 401 How can you calculate the number of houses you can build if you know the number of toothpicks you have? Explain. Divide by 5. Since each new house adds 5 toothpicks to the previous total, dividing by 5 would tell the maximum number that could be built. How would you write your method for question 4 in symbols? T/5 T = # of toothpicks = Houses to build GED Testing Service® | ©Copyright 2013 GED Testing Service LLC. All rights reserved.
A Few Patterns Answer Key Toothpick Houses Build or draw the following sequences of houses made from toothpicks. Fill in the following table: Houses 1 2 3 4 7 Number of Toothpicks 6 11 16 21 36 See if you can come up with a way to predict the number of toothpicks needed to build any number of houses. Describe your method. Multiply the number of houses times 5 and add 1. Each new house adds 5 toothpicks. The number of toothpicks will be 6 times the house number minus the previous house number – for house 2, 2 * 6 = 12 – 1 = 11 Using your method, see if you can fill in the missing parts of the table: Houses 5 6 8 12 20 100 10 15 80 Toothpicks 26 31 41 61 101 501 51 76 401 How can you calculate the number of houses you can build if you know the number of toothpicks you have? Explain. Divide by 5. Since each new house adds 5 toothpicks to the previous total, dividing by 5 would tell the maximum number that could be built. How would you write your method for question 4 in symbols? T = # of toothpicks T/5 = Houses to build GED Testing Service® | ©Copyright 2013 GED Testing Service LLC. All rights reserved.