Class Objective for August 19 Take the first formal assessment of Algebra 1 content. You can do it!!!

Final Review 1) Simplify –(3)2 and (-3)2 2) Simplify the following expression for: 3(2x + 4) – 5(x + 6) 3) Evaluate -9 - |-7 + 6| 4) Determine if the following is a function and justify your answer: {(1,1), (2,3),(3,2),(1,1)} 5) What is the input for the function machine: f(x) = x – 52 if f(x) = 20

Chapter Introduction: Linear Relationships Throughout this chapter you will explore the multiple representations of a linear relationship.  You will use the growth and starting value of linear relationships to find specific connections between situations, tables, graphs, and equations. 

Class Objective for August 20 Write linear algebraic equations relating the figure number of a geometric pattern and its number of tiles. Here, we will identify connections between the growth of a pattern, its starting value, and its linear equation.

Connecting Patterns to Music Super Nintendo, Sega Genesis When I was dead broke, man I couldn't picture this 50 inch screen, money green leather sofa Got two rides, a limousine with a chauffeur Phone bill about two G's flat No need to worry, my accountant handles that

Questions to Consider How can you see growth in the tile pattern? What is the starting value for the tile pattern? What is the connection to the equation?  To the table?

Problem 2-1 Tile Pattern Investigation

Problem 2-2 1) How many tiles in Figure 0? Figure 4? 3) How can we express this pattern as an equation?

Classwork Problems 2-3 and 2-4

Homework for Tomorrow Problems 2-6 through 2-10

Bell work for August 21 Using an input and output table, use five input values to graph the following function y = x2 + 2.

How can I measure steepness? In the previous lesson, you determined the growth and starting value of geometric tile patterns, and made connections to the table and equation.  In this lesson you will use your knowledge to determine an accurate value of growth from a graph.

Focus Questions What makes lines steeper? What makes lines less steep?   How is growth related to steepness? Where is the starting value on a line?

Problem 2-11 Write an equation that represents the tile pattern in the table below. Figure # 0 1 2 3 4 # of Tiles 2 7 12 17 22

Problem 2-12 Does the relation in the table above appear to be a function?  If so, write the equation in function notation.  If not, explain why it is not a function.

Complete Problems 2- 13, 2-14 and 2-15 Classwork for Today Complete Problems 2- 13, 2-14 and 2-15