Lesson 1 Getting Ready for a Pool Party Develop Understanding

Ready

1.

a.

Graph each of the functions on the same coordinate grid.

a blank 17 by 17 grid

b.

Describe the similarities and differences in the graphs of these two functions.

2.

a.

Graph each of the functions on the same coordinate grid.

a blank 17 by 17 grid

b.

Describe the similarities and differences in the graphs of these two functions.

3.

a.

Graph each of the functions on the same coordinate grid.

a blank 17 by 17 grid

b.

Describe the similarities and differences in the graphs of these two functions.

4.

a.

Graph each of the functions on the same coordinate grid.

a blank 17 by 17 grid

b.

Describe the similarities and differences in the graphs of these two functions.

5.

a.

Graph each of the functions on the same coordinate grid.

a blank 17 by 17 grid

b.

Describe the similarities and differences in the graphs of these two functions.

6.

a.

Graph each of the functions on the same coordinate grid.

a blank 17 by 17 grid

b.

Describe the similarities and differences in the graphs of these two functions.

Set

Match each given graph to one of the following contextual descriptions that fits best. Then label the independent and dependent axes with the proper variables.

  1. The amount of money in a savings account where regular deposits and some withdrawals are made.

  2. The temperature of the oven on a day that Mom bakes several batches of cookies.

  3. The amount of gasoline on hand at the gas station before a tanker truck delivers more.

  4. Watermelons are delivered to a farmer’s market every Saturday morning. The number of watermelons available for sale on Thursday.

  5. The amount of mileage recorded on the odometer of a delivery truck over a time period.

7.

a curved line on a coordinate plane. The pattern of going up and then down happens over 6 set intervals, forming 6 identical peaks before continuing down to the same height as where the graph started.

Contextual description:

8.

The graph moves up and down in a gradual curve four times. The entire graph steadily increases upward to the right, ending at the highest position of the graph.

Contextual description:

9.

A discontinuous graph in the first quadrant, made up of 7 short line segments, all parallel to the x-axis and each other. The highest line segment begins at an unknown y-intercept.

Contextual description:

10.

A discontinuous graph in the first quadrant, made up of 11 short line segments, all parallel to the x-axis and each other. The first segment begins at a y-intercept close to the x-axis. The first segment is at the lowest position of the graph.

Contextual description:

11.

A continuous graph in the first quadrant. It begins at an unknown, positive y-intercept, which is the highest position of the graph. The graph moves gradually down, then slightly up and then down.

Contextual description:

Given the pair of graphs on each coordinate grid, create a list of similarities the two graphs share and a list of differences. (Consider attributes such as, continuous, discrete, increasing, decreasing, linear, exponential, restrictions on domain or range, etc.)

12.

a curved line on a graph and its tangent line x–5–5–5555101010y–5–5–5555101010000

13.

a positive linear line with a dotted parallel line to the left on a graph x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

Go

For each equation find the value of that makes it true.

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