# How Many Groups? (Part 1)

Warmup

Activity #1

Investigating How Many groups as a Division Strategy. • Check the “Show maximum” box at the top left corner.
• Click to generate the objects.
• How many squares are they?
• Click and enter a number in the “group size” box. Should be less than the number of squares.
• Press the Enter key.
• Click .
• Write a mathematical statement about dividing the two numbers.
• Click and continue to practice.
• Use the slider to increase the number of objects.

Activity #2

Four Pattern Blocks.

In this activity, you are going to use the pattern blocks in the applet to answer the questions below. (If you need help aligning the pieces, you can turn on the grid.) • Drag a piece into the workspace.
• Click on a piece to turn it.

If a hexagon represents 1 whole, what fraction do each of the following shapes represent? Be prepared to show or explain your reasoning.

(1,) 1 triangle

(2.) 1 rhombus

(3.) 1 trapezoid

(4.) 4 triangles

(5.) 3 rhombuses

(6.) 2 hexagons

(7.) 1 hexagon and 1 trapezoid.

Activity #3

More Pattern Blocks

Use the pattern blocks in the applet to model the equations below. (If you need help aligning the pieces, you can turn on the grid.) Challenge #1

Below are Elena’s diagrams for multiplication using the blocks in the applet above. Do you think these diagrams represent the equations? Explain your reasoning.

Challenge #2

Which question can be represented by the following equation?

Challenge #3