Action vs. Non-action
7 children are playing in a park. 8 more children came and joined them. How many children are playing in the park?
What type of problem is this? Create an equation.
Join, result unknown
7 + 8 = _
48 + 34
Compute using non-traditional strategies.
82
*Remember: # of groups X # per group = product
1. Measurement: _ x 6 = 48
2. Partitive: 8 x _ = 48
There are 14 beagles and 7 dalmatians at the vet clinic. How many dogs are at the clinic?
What type of problem is this? Create an equation.
PPW, whole missing
14 + 7 = _
88 - 27
Compute using non-traditional strategies.
61
There are 5 jars each with 4 marbles in them. How many marbles are there?
Multiplication or division? What type of division (if applicable)? Create an equation. Draw a picture.
Multiplication
5 x 4 = 20
Rex gives 12 pieces of candy to Mary. Mary now has 31 pieces of candy. How many pieces of candy did Mary have to start?
What type of problem is this? Create an equation.
Join, start unknown
_ + 12 = 31
74 + 89
Create a number line to solve.
163
Austin has 24 pencils. He has 4 friends. How many pencils can he give each friend?
Multiplication or division? What type of division (if applicable)? Create an equation. Draw a picture.
Partitive division
4 x _ = 24
Mary has 12 Reese’s and some Kit Kats. She has 25 pieces of candy total. How many Kit Kats does she have?
What type of problem is this? Create an equation.
PPW, part missing
12 + _ = 25
336 - 83
Create a number line to solve.
253
Parker bought 96 watermelons for a party on the quad. He gives everyone at the party 4 watermelons. How many people are at his party?
Multiplication or division? What type of division (if applicable)? Create an equation. Draw a picture.
Measurement division
_ x 4 = 96
Reggie has made 4 pizzas for the football game. He needs to have a total of 36 pizzas for the game. How many more pizzas does he need to make?
What type of problem is this? Create an equation.
Join, change, unknown
4 + _ = 36
N + 99 < N + 100
N - 99 > N + 100
Explain why these make sense.
99 is a smaller number than 100. So when you add 99 to any number (N), the result will always be less than when you add 100 to any number (N).
99 is a smaller number than 100. So when you take 100 away from any number (N), the result will always be less than when you take 99 away from any number (N).
Solve the following multiplication problem using strategies other than the standard algorithm and explain why your strategy works.
12 x 32
12 x 32 (12 groups of 32) →
10 x 32 = 320 (10 groups of 32) + 2 x 32 = 64 (2 groups of 32) = 384
*Strategies may vary. Just be sure to explain your reasoning.