Unit 4, Lesson 4
How Many Groups? (Part 1)
Grade 6
4.1
Warm-up
Write a multiplication equation and a division equation for each sentence or diagram.
- Eight \$5 bills are worth \$40.
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- There are 9 thirds in 3 ones.
Student Lesson Summary
Some problems that involve equal-size groups also involve fractions. Here is an example: “How many s are in 2?” We can express this question with multiplication and division equations.
Pattern-block diagrams can help us make sense of such problems. Here is a set of pattern blocks.
If the hexagon represents 1 whole, then a triangle must represent , because 6 triangles make 1 hexagon. We can use the triangle to represent the in the problem.
Twelve triangles make 2 hexagons, which means there are 12 groups of in 2.
If we write the 12 in the place of the “?” in the original equations, we have:
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