Linear Growing Patterns & Relations Session 2 Summer Institutes August 26, 2009 Wendy Telford

2 Stumbling Blocks Task:Solve two questions. Identify any possible stumbling blocks students might encounter. In Small Groups

3 When Can I Buy this Bike? TIPS4RM Grade 8 Unit 2 Day 6 Mackenzie has found the bicycle that she always wanted. It costs $ She received $300 as a gift from her family. How long would it take her to save enough money to purchase the bike if she earns $12 a week babysitting? Stumbling Blocks

4 Definition Examples Non-examples Characteristics/Facts Direct Variation

5 Definition Examples Non-examples Characteristics/Facts Partial Variation

6 Walk This Way TIPS4RM Grade 9 Unit 5 Test Time (seconds) Distance (metres)  The graph describes Rami’s walk with a motion detector. Tell the story that describes this graph. Use distance away from the wall and time in your story. Stumbling Blocks

7 Walk This Way Time (seconds) Distance (metres)  A story is described below. Sketch the graph that describes the story in the screen provided. Begin 5 metres from the wall. Walk towards the wall for 5 seconds. Stop for 5 seconds. Run back to your starting position. Stop. Stumbling Blocks

8 Fermat’s Footwear Wages TIPS4RM Gr 10 Applied Unit 4 Day 1 Nahid is offered another job at Fermat’s Footwear. The graph below represents the Pay vs. Sales for this job. Which of the following equations do you think represents pay for one week at Fermat’s Footwear? a)P = 0.01s + 100b)P = 0.10s c)P = 100s + 10d)P = 0.05s Provide a reason or justify why you selected the equation that you chose. Stumbling Blocks

9 Using Equations as a Point Tester Possible Strategy P = 0.01s P = 0.10s P = 100s + 10 P = 0.05s Week's Pay ($) Total Value of Sales ($)

10 How Do These Questions Connect to the Big Ideas? When Can I Buy This Bike? Walk This Way Fermat’s Footwear Wages

11 Dr. Ruth Beatty Interview How does this video connect to the plenary?

12 What does Research Tell Us?

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15 Guess My Rule My rule is: Output = Input x 3 Input Output 12

16 Guess My Rule Input Output 10 My rule is: Output = Input x 2 + 3

17 Secret Pattern Challenge Work with a partner or in a triad Build the pattern that follows the rule Record on chart paper your responses to these questions: a)State any stumbling blocks students might experience with this activity. a)How might this activity help students overcome these stumbling blocks?

18 The “Zeroth” Position Total tiles = position number x 3 + 1

19 Connecting Patterns and Graphs

20 Construct a Graph! See the instruction sheet at the table.

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22 Graphing Graph three rules: – Tiles = position number x – Tiles = position number x – Tiles = position number x What is the same about the rules? What is different? What is the same about the lines on the graph? What is different?

23 Generalizing Problems

24 Border Problem If you had a grid of any number of squares, how many would be shaded?

25 Multiple Rules

26 Structural Similarities This is a 4 dot triangle where each side has 4 dots. It is made using a total of 9 dots. The Same Rule – JN I think that the triangle dot problem rule is the same as the perimeter problem because the corners are overlapping so, it means that the triangle dot problem's rule is x and the perimeters rule was x

27 The Important Book The important things about Linear Patterns & Relations I learned today are …

28 Homework Read the assigned article and be prepared to discuss tomorrow in small groups.