Rising 8 Summer Bridge | DataDrivenTales

Student Goal

I can recognize and describe a linear relationship.

Why It Matters

Linear relationships are a major bridge from middle school patterns into 8th grade functions and Math 1.

Warm-Up

Warm-Up 1

What is the next y value: 4, 7, 10, ___?

Warm-Up 2

In y = 2x + 5, which number is the starting value?

Warm-Up 3

A linear relationship should have what kind of change?

Short Lesson

Standard Focus

NC.8.F: Functions

Student-Friendly Standard Goal

I can identify constant change and connect tables, graphs, and simple rules.

A linear relationship changes by a constant amount.
Tables, graphs, rules, and words can all describe the same relationship.
The slope tells the repeated change. The starting value tells where the pattern begins.

Guided Examples

Guided Example 1

Table to Rule

A table shows x: 0,1,2,3 and y: 4,6,8,10. Which rule fits?

x	0	1	2	3
y	4	6	8	10

Step 1

y changes +2 each time

What is the slope?

Guided Example 2

Interpret a Linear Situation

A savings account starts with 10 dollars and grows by 5 dollars each week.

Step 1

starts with 10

What is the starting value?

Practice

Problem 1

Which table shows constant change?

Problem 2

For the pattern y: 6, 10, 14, 18, what is the constant change?

Problem 3

In y = 3x + 1, what is the slope?

Problem 4

x	0	1	2	3
y	2	5	8	11
change	start 2	+3	+3	+3

Day 7: Linear Relationships