FunctionsFunctions

By Mr. BalesBy Mr. Bales

ObjectiveObjective

By the end of the lesson, you will be able to complete function tables.

Standard 4A1.5 - Students will understand that an equation, such as y = 3x + 5, is a way for determining a second number when a first number is given.

By the end of the lesson, you will be able to complete function tables.

Standard 4A1.5 - Students will understand that an equation, such as y = 3x + 5, is a way for determining a second number when a first number is given.

IntroduceIntroduce

When I start with 8, I end with 16.When I start with 12, I end with 20.When I start with 6, I end with 14.Think about the rule for the pattern.What is being added to each number

at the start to get to the end?What is the rule for the pattern?

When I start with 8, I end with 16.When I start with 12, I end with 20.When I start with 6, I end with 14.Think about the rule for the pattern.What is being added to each number

at the start to get to the end?What is the rule for the pattern?

Another ExampleAnother Example

What would the rule be for the following:

When I start with 8, I end with 16.When I start with 30, I end with

60.When I start with 12, I end with

24.

What would the rule be for the following:

When I start with 8, I end with 16.When I start with 30, I end with

60.When I start with 12, I end with

24.

TeachTeach

What is the rule for the following:When I start with 5, I end with 15.When I start with 6, I end with 18.When I start with 7, I end with 21.What is the rule?How could you write an equation to show

how to find the end number?End = 3 x startUsing this rule, if you start with 10, what do

you end with?

What is the rule for the following:When I start with 5, I end with 15.When I start with 6, I end with 18.When I start with 7, I end with 21.What is the rule?How could you write an equation to show

how to find the end number?End = 3 x startUsing this rule, if you start with 10, what do

you end with?

TacosTacosThe table shows the

number of tacos four students have eaten. Each student is going to eat 2 more tacos.

How many tacos will each student have eaten after eating two more tacos?

The table shows the number of tacos four students have eaten. Each student is going to eat 2 more tacos.

How many tacos will each student have eaten after eating two more tacos?

Tacos Eaten

Name Number

Riley 2

Justin 4

Lauren 3

Natalie 1

FunctionFunction

A relationship where one number depends on another number is a function.

A relationship where one number depends on another number is a function.

Input

Function Rule

Output

Start with an input number.

Perform one or more operations

on the input.

End with an output number.

Complete a Function TableComplete a Function Table

Let’s hear from our friend Mr. Hardesty!!

How many tacos will each student have eaten after eating two more?

Make a table.

Let’s hear from our friend Mr. Hardesty!!

How many tacos will each student have eaten after eating two more?

Make a table.

Rule:Add 2.

Input:Number Eaten

Rule: +2Output:

Total Eaten

2 2 + 2 ?

4 4 + 2 ?

3 3 + 2 ?

1 1 + 2 ?

Complete a Function TableComplete a Function Table

y = 7x

The rule y = 7x means to multiply x by 7 to get y.

y = 7x

The rule y = 7x means to multiply x by 7 to get y.

Rule: Multiply by 7

Input (x) Rule:y = 7x

Output (y)

2 7 x 2 ?

4 7 x 4 ?

6 7 x 6 ?

8 7 x 8 ?

Complete a Function TableComplete a Function Table

y = 3x + 4

First, multiply x by 3. Then, add 4 to the product to get y.

y = 3x + 4

First, multiply x by 3. Then, add 4 to the product to get y.

Rule: Multiply by 3 then add 4

Input (x) Rule:y = 3x + 4

Output (y)

2 3 x 2 + 4 ?

4 3 x 4 + 4 ?

6 3 x 6 + 4 ?

Bales Bucks!!Bales Bucks!!

Game On!!!Game On!!!

AssignmentAssignment

Page 486 - #’s 4 - 9Get them all correct - No Math

Homework

Page 486 - #’s 4 - 9Get them all correct - No Math

Homework