Tables and graphs

Presentation

•

Mathematics

•

7th - 12th Grade

•

Easy

•

CCSS

8.F.A.1, 8.F.A.3, 8.F.B.4

Standards-aligned

Sharon Rummins

Used 3+ times

FREE Resource

13 Slides • 27 Questions

PLOTTING STRAIGHT LINES

Learning goals:

To understand that a straight-line graph is formed from a linear rule

To be able to plot a graph of a rule using a table of values

To be able to use a straight line graph to determine the values of variables

Key ideas

Let's practice

3 questions follow to check understanding.....

Multiple Choice

The table shows the x and y values for the equation

y = x - 6.

What is the missing number?

Multiple Choice

The table shows the x and y values for the equation

y = 2x + 1.

Find the missing y value.

-2

-7

Multiple Choice

The table shows the x and y values for the equation

y = 9x - 1.

Find the missing y value.

-19

Can you find the rule and missing number?

3 questions to check understanding ....

9 questions follow to check understanding.....

Multiple Choice

What is the rule (equation) for this table?

y = x + 5

y = 5x

y = x - 5

Multiple Choice

What is the rule (equation for this table?

y = 480x

y = x + 479

y = x + 480

y = 480 - x

Multiple Choice

Which table is correct for y=4x+3?

Multiple Choice

Which equation matches the table?

y = x

y = 5x

y = x - 4

y = x + 4

Multiple Choice

Find the equation of the line

y = 16x

y = 2x +2

y = -2x -2

y = 4x + 0

Multiple Choice

Find the equation of the line

y =4x + 1

y = 3x -1

y = 8x +11

y = 12x + 56

Multiple Choice

Find the equation of the line

y = 4x + 2

y = 2x + 3

y = 3x - 1

y = 3x + 6

Multiple Choice

Three tables of values are shown.

Which table shows the x and y values for the equation

y = x + 5?

Multiple Choice

When a rule is written as a sentence:

The cost to hire a car from Easy Car Rental is $8.50 an hour plus a rental fee of $25.50.

c = 8.5 + 25.5

c = 25.5 + 8.5x

c = 8.5 + 25.5x

To find the y-intercept (c), substitute a coordinate pair into the equation.

Let's do this.

Now you try. Find the equation for this data.

2 questions follow to check understanding.....

Multiple Choice

Which equation describes the table shown?

y = x + 2

y = x - 2

y = 2x + 1

y = -2x + 2

Multiple Choice

Which equation matches the table?

y = x + 8

y = 2x + 3

y = x + 10

y = 3x - 4

When we know the gradient and y-intercept, we can graph our line.

And if we have a graphed line, we can find the equation.

Let's practice.

What are the equations of these lines?

5 questions follow to check understanding.....

Multiple Choice

Which is the graph of the equation y = -3x - 1?

Multiple Choice

Which graph represents the table?

Multiple Choice

Which line is being represented by the graph?

y = 3/4 X -3

y = -3/4x + 4

y = 3/4x + 4

y = -3/4 x - 3

Multiple Choice

Which company shows a greater rate of change (gradient)?

Water's Edge Rafts

Ryan's Rafts

Multiple Choice

Which graph represents the table?

If we graph 2 lines together, we get a point of intersection where they cross over.

5 questions follow to check understanding.....

Multiple Choice

What is the point of intersection?

(-2, -2)

(2, -2)

(-2,2)

(2, 2)

Multiple Choice

What is the point of intersection?

(2.5, 1)

(1, 2.5)

(-2.5, -1)

(-1, -2.5)

Multiple Choice

What is the point of intersection?

(2, 0)

(-2, 0)

(0, 2)

(0, -2)

Multiple Choice

What is the point of intersection?

(-3, 0)

(0, 3)

(3, 0)

(0, -3)

Multiple Choice

What is the point of intersection?

(-1, -2)

(-1, 2)

(1, 2)

(1, -2)

To summarise:

3 questions follow to check whether our learning goals have been achieved.....

Poll

How well do you understand that a straight-line graph is formed from a linear rule?

Poll

Are you able to plot a graph of a rule using a table of values?

Poll

Can you use a straight-line graph to determine the values of variables?

PLOTTING STRAIGHT LINES

Learning goals:

To understand that a straight-line graph is formed from a linear rule

To be able to plot a graph of a rule using a table of values

To be able to use a straight line graph to determine the values of variables

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