This problem solving activity has a number (all operations) focus.
On Monday, Sam and Sylvia have 7 lollies.
They are not equally shared.
2 of the lollies are Sam's.
How many lollies are Sylvia's?
Sam has the same number of lollies each day up to (and including) Friday.
Altogether Sam and Sylvia have 20 lollies.
How many lollies are Sylvia's that week?
Students apply addition and early multiplication strategies (e.g. repeated addition, skip counting) to solve this problem.
This is one of six problems: Lollies! Number, Level 1; More Lollies, Number, Level 1; Sharing More Lollies, Number, Level 2; Lollies, Lollies, Lollies, Number, Level 3; and Still More Lollies, Algebra, Level 4. At each level, these problems become more algebraically-focused.
On Monday, Sam and Sylvia have 7 lollies. They are not equally shared. 2 of the lollies are Sam's. How many lollies are Sylvia's?
Sam has the same number of lollies each day up to (and including) Friday. Altogether Sam and Sylvia have 20 lollies. How many lollies are Sylvia's that week?
When combined and then shared fairly at the end of four days, Sam and Sylvia each get 6 lollies. If Sam has 2 lollies each day, how many does Sylvia have each day?
Vary the number of days, number of lollies each and fair share amounts.
Students may use a range of representations to show that:
7 - 2 = 5. Sylvia has 5 lollies.
On 5 days Sam has 2 + 2 + 2 + 2 + 2 = 10 lollies (or 2 lollies x 5 days). So Sylvia has 20 – 10 = 10 lollies.
6 lollies each is 12 altogether. Sam has 2 + 2 + 2 + 2 = 8. Sylvia has 12 - 8 = 4, which is 1 lolly each day.
Printed from https://nzmaths.co.nz/resource/more-lollies at 5:59pm on the 20th April 2024