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Constructing Functions Editable PowerPoint for 8th Grade 8.F.B.4

Constructing Functions Editable PowerPoint for 8th Grade 8.F.B.4 preview
Constructing Functions Editable PowerPoint for 8th Grade 8.F.B.4 preview

Look Inside · 10 pages

Cover slide for the linear functions presentation, titled 'Constructing Linear Functions' and labeled 8.F.B.4
Opening cover of the 11-slide presentation
Review slide introducing y=mx+b and explaining that constructing a linear function requires finding m and b
Slide 2: Reviewing the linear equation
Definition slide identifying m as the rate of change and b as the initial value or y-intercept in y=mx+b
Slide 3: Defining m and b
Graph example slide showing two points on a line and labeling changes in y and x to find the rate of change
Slide 4: Setting up the graph example
Worked graph example slide calculating the rate of change as 6/3=2, with changes in y of 6 and x of 3
Slide 5: Calculating the graph's rate of change
Initial-value graph example slide identifying the y-intercept as -3 where the line meets the vertical axis
Slide 6: Finding the initial value on a graph
Pizza-price table example slide introducing rate of change as the price difference divided by added pizzas
Slide 7: Introducing the pizza-price table
Worked pizza-table example slide using the first two rows to calculate rate of change: (22.97-13.98)/(2-1)=8.99
Slide 8: Calculating the price per added pizza
Initial-value table example slide subtracting the $8.99 rate from the $13.98 price of one pizza to get $4.99
Slide 9: Calculating the table's initial value
Pizza-example interpretation slide explaining the $8.99 price per pizza and initial value as an order cost
Slide 10: Interpreting the pizza example
Attributes
Subject

Math, Algebra

Grades

Grade 8

Editable
Yes
Rating
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About This Product

This PowerPoint presentation for 8th grade math covers common core course 8.F.B.4. The focus is constructing linear functions from graphs or tables. There are no brand new concepts compared to previous courses, except the term initial value. There are 11 slides in this presentation.

We will find rates of change and initial values (y-intercepts) from graphs and tables with simple examples.

This PowerPoint is editable, except the pictures. 

Contents:

  • Recalling that equation of a linear function is of a form y=mx+b (with xy-coordinate plane) 

  • To construct functions, we need to find the right values for m and b

  • Example of picking two points from the graph and calculating the change of y and the change of x. Then we calculate the rate of change by division.

  • Example of finding an initial value from a graph

  • Example of finding rate of change from a table that describes price of pizzas

  • Continuing the pizza example, finding the initial value from a table

  • Meaning of the initial value in this example, for example a delivery cost

  • Constructing the equation from the pizza example

This presentation is part of my series for 8th grade math. You can find more PowerPoints and worksheets from my Teach Simple page:

https://teachsimple.com/contributor/thebrightestkid  

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