Lesson 1 Something to Talk About Develop Understanding

Ready

Rewrite the following expressions by applying the distributive property.

1.

2.

3.

4.

5.

6.

7.

Set

8.

Create standard mathematical representations (table, graph, equations) that relate the figure number to the number of squares for the sequence of figures. Find the number of squares for Figure 4.

Figure 1 is a rectangle that is 3 unit squares long and 1 unit square high. Figure 2 is a rectangle that is 5 unit squares long and 2 unit squares high. Figure 3 is a rectangle that is 7 unit squares long and 3 unit squares high. Figure 1Figure 2Figure 3

Figure Number

Number of Squares

a blank 17 by 17 grid

Equations:

9.

How does the rate of change for the relationship in problem 8 show up in the table? Explain.

10.

How do the terms in the equations connect with the diagrams provided?

Go

Identify the rate of change in each of these contexts or representations of linear functions.

11.

Graph of a line passing through (0, -3) and (1, 1) x–2–2–2–1–1–1111222333y–3–3–3–2–2–2–1–1–1111222000

12.

Graph of a line passing through (0, 1) and (1, -2) x–2–2–2–1–1–1111222333y–3–3–3–2–2–2–1–1–1111222000

13.

14.

15.

Graph of a line passing through (-5, 0) and (0, 2) x–6–6–6–4–4–4–2–2–2y–2–2–2222000

16.

Slope of

17.

George is loading freight into an elevator. He notices that the weight limit for the elevator is . He knows that he weighs . He has loaded boxes into the elevator. Each box weighs . Identify the rate of change for this situation.

18.

Independent Variable

Dependent Variable

19.

and