On Monday, Sam and Sylvia share some lollies.

Sam has 2 lollies. Sylvia has 4 lollies.

Together, how many lollies do they have to share?

If Sam has 2 lollies, and Sylvia has 4 lollies on Tuesday and Wednesday too, how many lollies do they each have?

What is the total number of lollies that Sam and Sylvia share in three days?

Students apply addition strategies to solve this problem.

This is one of six problems: Lollies! (Level 1), More Lollies (Level 1), Sharing Lollies (Level 2), Lollies, Lollies, Lollies (Level 3) and Still More Lollies (Level 4), which become more algebraic in their focus at each level.

### The Problem

On Monday, Sam and Sylvia share some lollies. Sam has 2 lollies. Sylvia has 4 lollies. Together, how many lollies do they have to share?

If Sam has 2 lollies, and Sylvia has 4 lollies on Tuesday and Wednesday too, how many lollies do they each have?

What is the total number of lollies that Sam and Sylvia share in three days?

Lesson Sequence

- Discuss and model adding numbers and then sharing equally.
- Read each part of the problem with the class and discuss how they will record their ideas.
- Ask supporting questions as students work on their solutions.
- Share solutions. Have students to explain their different methods (equipment, skip counting, known facts).

#### Other Contexts

This problem could be posed in a number of contexts using items, which are of current interest.

#### Extension to the problem

If Sam and Sylvia have a different number of lollies each, but have 10 lollies altogether to share, how many might they each have?

To begin, Sam and Sylvia have a different number of lollies each, but when they share them fairly they each get 6. How many might each person have started with?

### Solution

The number of lollies they share is the sum of what each got: 2 + 4 = 6.

Over three days Sam got 2 + 2 + 2 = 6. Sylvia got 4 + 4 + 4 = 12. Sylvia got double Sam's number. Together they have 18 to share.

#### Extension solution

Combinations to 10: (1,9) (2,8) (3,7) (4,6) (5,5) (6,4) (7,3) (8,2) (9,1) Sam has the first number and Sylvia the second number.

Combinations to 12: (1,11) (2,10) (3,9) (4,8) (5,7) (6,6) (7,5) (8,4) (9,3) (10,2) (11,1) Sam has the first number and Sylvia the second number.