Independent Study/Preview/Review Unit 5:
Have you ever baked cookies for a
huge group of people or wondered
how the lunchroom ladies knew how much of each ingredient to use in their humongous batch of cookies for 1000s of students?
huge group of people or wondered
Proportions come into play when looking at applications like this.
In this unit, we are going to take a look at proportional relationships and recognize the unit rate as our slope, or rate of change.
We are going to discover why we can use the famous y=mx+b to write an equation of our linear function.
Remember those similar triangles we studied? We'll use these similar triangles to help us derive this equation, y=mx+b. We'll also learn how to determine if a function is linear.
We'll be able to look at a function's graph or at a function's equation to make this linear vs. nonlinear decision. Next year, in High School Algebra, you'll learn more about the other types of functions, non-linear functions, so it is vital to begin to recognize which ones are linear and which ones are not.
Remember those similar triangles we studied? We'll use these similar triangles to help us derive this equation, y=mx+b. We'll also learn how to determine if a function is linear.
We'll be able to look at a function's graph or at a function's equation to make this linear vs. nonlinear decision. Next year, in High School Algebra, you'll learn more about the other types of functions, non-linear functions, so it is vital to begin to recognize which ones are linear and which ones are not.
Essential Questions:
- How do we graph proportional relationships?
- How can we find the slope of a line from a graph?
- How do we know the slope of a line when given an equation?
- How do we know whether a function is linear or non-linear?
