1. Math Unit 4 Lesson 2 Decompose and recompose shapes to compare areas.

2. Skip Count By 6s To 60 … 6121824303642485460 Skip Count By 7s To 70 … 7142128354249566370 Skip Count by 8s to 80 … 8162432404856647280 Skip Count by 9s to 90 … 9182736455463728190 Skip Count

3. Problem of the Day Wilma and Freddie use pattern blocks to make the shapes shown. Freddie says his shape has a bigger area than Wilma’s because it is longer. Is Freddie right? Wilma’s shape is made of: 6 triangles 6 rhombuses 1 hexagon Freddie’s shape is made of: 6 triangles 6 rhombuses 1 hexagon Freddie is incorrect!! Both shapes have the same number of pattern blocks, so the shapes take up the same area even though they are arranged differently!

4. Concept Development Measure your strip of paper. How tall is it? It is 1”tall! Starting at the left edge of your strip, use your ruler to mark inches along the top of the paper. Do the same at the bottom. Use your ruler to connect the marks at the top to the matching marks at the bottom. When you are finished, your strip should look like the one in the bottom picture.

5. Concept Development How many units make up your strip? Yessiree! 12!!!! What shape are the units on the strips? They are SQUARES because each unit has four sides, and the four sides are all 1 inch long.

6. Concept Development What is the area of the paper strip in square units? Bingo! 12 square units. Bada Bing! 12 square inches! Because the sides of each square in the strip measure 1 inch, we call one square a SQUARE INCH. What is the are of your paper strip in square inches?

7. Concept Development Talk to a partner: What is the difference between measuring the strip in SQUARE UNITS and SQUARE INCHES? SQUARE UNITS have 4 sides of any length. SQUARE INCHES have 4 sides of exactly 1” length.

8. Concept Development NEXT!! Cut your paper strip along the lines you drew. Rearrange your 12 squares into two equal rows. Draw the rectangle in the chart for Problem 1 RECTANGLE A. What is the area of this new shape? It is STILL 12 square inches!

9. Concept Development NEXT!! Rearrange your 12 squares into THREE equal rows. Draw the rectangle in the chart for Problem 1 RECTANGLE B. What is the area of this new shape? It is STILL 12 square inches!

10. Concept Development NEXT!! Rearrange your 12 squares into FOUR equal rows. Draw the rectangle in the chart for Problem 1 RECTANGLE C. What is the area of this new shape? It is STILL 12 square inches!

11. Concept Development How is it possible that all three rectangles have the same area? They were all 12 square inches!! Ooooooh! We used the same squares for each one, So each rectangle has the same area! No matter how we rearrange the squares, there are still 12! The area is 12 square inches no matter how we arrange it.

12. Problem Set! You can do it!