Division as Equal Sharing and Equal Groups

3rd Grade MathMultiplication and Division4 pages

About this worksheet

Division two ways for 3rd grade, over 4 pages. On page 1 students share counters equally, such as 24 counters among 4 plates, and circle each share in a picture of dots. Page 2 uses the same totals as groups instead: 24 counters in groups of 4, 18 in groups of 3, 20 in groups of 5. The last page has six stories to match to equations A to F, plus Sam's 21 pencils in cups of 3, where students decide whether it is sharing or grouping. It covers Common Core 3.OA.2, and the key gives every quotient.

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$Division as Equal Sharing and Equal Groups: Multiplication and Division - page 1$

$Division as Equal Sharing and Equal Groups: Multiplication and Division - page 2$

$Division as Equal Sharing and Equal Groups: Multiplication and Division - page 3$

$Division as Equal Sharing and Equal Groups: Multiplication and Division - page 4$

Curriculum objectives covered

3.OA.2

“Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 ÷ 8.”

Pages 1 and 2 split the same totals both ways, so 24 ÷ 4 is first 6 counters per plate and then 6 groups. Question 15 asks students to name which meaning a story uses.

What's inside this worksheet

Equal Sharing

Four dot pictures to split into equal shares: 24 among 4 plates, 18 among 3, 20 among 5 and 12 among 2. Each ends with a counters per plate equation.

Equal Groups

Students circle groups of a given size in four more pictures, such as 18 counters in groups of 3 and 12 in groups of 4, then write how many groups they made.

Match the Division Stories

Six stories, from Mia's 24 stickers to Max's 16 beads, to match with six equation cards. Question 15 asks whether Sam's pencil problem is sharing or grouping.

Answers

Every quotient with the circling to expect, the letters for the six stories, and 21 ÷ 3 = 7 cups for question 15.

How teachers use it

Same numbers, two meanings

Put questions 1 and 5 side by side on the board. Both are 24 ÷ 4 = 6, and students see that the 6 means counters per plate in one and groups in the other.

Real counters first

Hand out counters and paper plates for page 1. Students who deal them out one at a time usually circle the shares with fewer mistakes afterwards.

Exit slip

Use question 15 on its own at the end of the lesson. A student who says grouping and points to the 3 pencils in each cup has the idea.

More 3rd Grade Math worksheets

Fractions Place Value Measurement and Data Geometry

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