1. Patterns and Functions
Looking for and Analyzing Patterns
Functions
Geometric Growing Patterns

2. Geometric Growing Patterns
Step Step Step 3
p. 244 (a)

3. Geometric Growing Patterns
Step # squares 1 2 3 4 5
Page 244 (b)—copy for participants and put a graph on back
Step Step Step 3
How many squares would there be in step 12? In step 20?
Can you write an equation to represent the growing pattern?
Turn over your paper and Graph it!

4. Turn over your paper and Graph it!
Growing Patterns
Step # squares 1 2 3 4 5
Step Step Step 3
p. 244 (d)
How many squares would there be in step 10? In step 20?
Can you write an equation to represent the growing pattern?
Turn over your paper and Graph it!

5. Patterns and Functions
Looking for and Analyzing Patterns
Functions
Geometric Growing Patterns
Contexts with Growing Patterns
Input-Output Functions
Read pp
Have participants read pp **Teaching Tip page 244 about multiplication and using variables

6. Border Tiles
In light of what we learned yesterday about variables and our learning so far today, let’s revisit the Border Tiles problem.
Choose a variable and write an expression to represent the number of tiles needed for any size square pool. (I used p = length of the side of a square pool)
(p+2) + (p+2) + p + p
2 (p + 2) + (2p)
4(p + 1)
(p +2)2 – p2
Page 244—teaching tip
Do Dot Problem

7. Patterns and Functions
Looking for and Analyzing Patterns
Functions
Geometric Growing Patterns
Contexts with Growing Patterns
Input-Output Functions
Recursive Patterns and Formulas
Explicit Formulas
Read page 246
Have participants read pp **Teaching Tip page 244 about multiplication and using variables

8. Dot Pattern Problem

9. Strings of Pattern Blocks

10. Linear Functions and Reflect!
At this point, we have considered many functions: border tiles, dot pattern, and strings of pattern blocks, geometric growing patterns, just to mention a few.
Which are linear functions?
Which are not linear?
Are they still functions?

11. Linear Functions Rate of Change and Slope Zero Slope and No Slope
Proportional and Non-proportional Situations
Read pages
Identify at least one proportional situation and at least one non-proportional situation we have graphed today.
Read pp

12. Linear Functions Rate of Change and Slope Zero Slope and No Slope
Proportional and Non-proportional Situations
Parallel, Same, and Perpendicular Lines
Graphs
Read page 250
Read page 250

13. Graphs and Context-Match the Graphs

14. Connecting Representations
The Hot Dog Problem: Brian is trying to make money by selling hot dogs from a cart at the stadium during music performances and ball games. He pays $35 per night for the use of the cart. He sells hot dogs for $1.25 each. His costs for the hotdogs, condiments, napkins, and other paper products are on average $ 0.60 per hot dog. The profit from a single hot dog is, therefore, $ 0.65.

15. Connecting Representations
Context
Table
Verbal Description
Symbols
Graph

16. Function Language (page 255)
Independent and Dependent Variables
Discrete and Continuous Functions
Domain and Range