LINEARTABLES-GRAPHS-EQUATIONS

HOW ARE THEY CONNECTED?

RECALL IT!What Do You Already Know

About Them?TABLE GRAPH EQUATION

Write 1 or 2 Facts You Know About EachOn-Your-Own

RECALL IT!What Do You Already Know

About Them?TABLE GRAPH EQUATION

Lists Data Items

Straight Lines

Has Variables

Uses Rows and

Columns

Has x-axis and y-axis

Uses Math Operations

Write 1 or 2 Facts You Know About EachOn-Your-Own

DEFINE IT!How Can They Be Useful?

To Help Us Answer Questions, in Real Life Situations, About Things That Are Unknown, That Are Related, and That Change in a Consistent Way.

COMPARE IT!One Advantage & Disadvantage

of Each?

TABLE GRAPH EQUATION

ADVANTAGE

DISADVANTAGE

Write 1 or 2 Facts You Know About EachPartner-Up

COMPARE IT!One Advantage & Disadvantage

of Each?

TABLE GRAPH EQUATION

ADVANTAGE

Easy to Find Exact Data

Values

Easy to See How Changing One

Data Value Affects the Other

Data Values

Can Calculate One Data Value By

Knowing Another Value

DISADVANTAGE

Hard to See Relationship

Between Values

Not Always Easy to See Exact Data Values

Sometimes Hard to Find Equation That

Represent The Situation

Write 1 or 2 Facts You Know About EachPartner-Up

SOLVE IT!Here’s a Situation:

After Basketball Practice, Antonio ran home at a speed of 6 blocks every 30 minutes. His cousin Jalen left practice a half hour earlier and walked home at a speed of 3 blocks per 30 minutes.

The boys live together in an apartment with their aunt, 18 blocks from Spencer.

Will They Get Home at the Same Time?

Use a table to show their distance and time from when they left the gym to when they got home.

Show at least 3 sets of data values but not more than 7 in your table.

SOLVE IT!Using a Table…

On-Your-Own

Will They Get Home at the Same Time?

Create a graph using the data from your table.

Make sure you plot the correct column on the x-axis and the correct one on the y-axis.

Make sure data markers on each axis are equally spaced apart.

SOLVE IT!Using a Graph…

On-Your-Own

Will They Get Home at the Same Time?

Try to find an equation that represents Antonio’s run home and an equation that represents Jalen’s walk home.

Use the slope-intercept form for straight lines for each equation: y = mx + b

Note that m = slope = (change in y-values)/(change in x-values)

SOLVE IT!Using an Equation…

Partner-Up

EXTEND IT!Write All 3 Representations of This Problem in Your Interactive Notebooks, on a Single Page. Then, Use Either Method to Answer These Questions:

If Jalen & Antonio had to go to their grandmother’s house instead of their aunt’s after practice, and if grandma lived 27 blocks from Spencer, what time would each of them arrive there?

What if Antonio left the gym 1 hour after Jalen, and they were going to their grandma’s house. Who would get their first?

Individual or Groups of 4

SUMMARIZE IT!Which One Do You Find Most Useful?