Grades 3-5

Elbow Partners: pick two “hard” multiplication facts and use the arrays to make more “manageable” facts that may be added to form the original “hard” multiplication fact.

Decomposition Partition Multiple Representations

Elbow Partners: partition the arrays to determine the number of objects in total. Be prepared to explain your thinking. How do other groups’ decompositions look different or similar?

Elbow Partners: in the next five minutes, decompose the “non- rectangular” array to determine the number of objects in its total. Write a variety of number sentences that represent each of your partitions. Be prepared to share your thinking.

Elbow Partners: be the player that reaches exactly $1, or closest without going over, in seven rolls of the die.

Roll Number D/P? Total

A new metal has been discovered! This square represents $1.00 of Burtium.

Represent $0.10. Share your thinking. Represent $0.01. Share your thinking.

Why is $0.60 written the way we write it? Why is $0.06 written the way we write it? Share your thinking.

This is now $1.00 of Burtium. What has happened to its value? How do you know?

Represent $0.10. Share your thinking. Represent $0.01. Share your thinking.

Represent $0.75. How do you know?

Maria bought a pencil for $0.29. She gave the clerk a dollar bill and received five coins in change. What coins did she receive?

pp. 50 pp. 50

A pen, a pencil, and an eraser cost $2.70 total. The pencil was $1.00 more than the eraser. The pen was $0.30 more than the pencil and eraser together. How much was the pen?

pp. 76 pp. 76

While counting her money, Beth noticed that she had the same number of dimes as nickels and the same number of quarters as nickels. How many nickels does she have if her coins are worth $2.00?

pp. 76 pp. 76

Marcy puts coins in her piggy bank every week. There is a total of $0.50 in the bank. What coins could she have if there are six coins in the bank? Seven coins? Eight coins? Are there other numbers of coins that could be in the bank? What are they?

pp. 116 pp. 116

Darren bought a bike for $50. Later he sold it to his friend for $60. He then bought it back for $70 and once again sold it for $80. Did he earn money, lose money and if so, how much? Or, did he break even? Explain.

pp. 116 pp. 116

Bozo has $1.07 in coins. He cannot make change for $1.00. He cannot make change for $0.25. He cannot make change for $0.10. He has exactly 7 coins. What coins does he have?

pp. 175 pp. 175

Jane has pennies, nickels, and dimes in her purse:

She has 8 coins altogether… She has fewer nickels than dimes… She has fewer pennies than nickels…How much money could she have?

pp. 180 pp. 180

Elbow Partners: Mark out all composite numbers to determine the primes that are circled!