2TTO 1-1 Gradient and y-intercept

Gradient and y-intercept
2TTO
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Slide 1: Slide
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This lesson contains 13 slides, with interactive quizzes and text slides.

time-iconLesson duration is: 50 min

Items in this lesson

Gradient and y-intercept
2TTO

Slide 1 - Slide

Refresh assignment
See work sheet
- Answer questions (8 min)
- Check (2 min)

Slide 2 - Slide

Don't forget...
Draw with pencil + ruler 
(table + graph)
Axes max 10 cm long
Choose appropriate scale 
(fixed step size!)
Mention variables along axes


Slide 3 - Slide

Linear relations
If there is a linear relation between two variables, you can make a linear formula. All linear formulas have the form

     is the variable on the vertical axis
     is the variable on the horizontal axis
     is the gradient
     is the y-intercept
y=ax+b
y
x
a
b

Slide 4 - Slide

What is the GRADIENT in the formula
y = 3x - 4?
A
y
B
3
C
x
D
-4

Slide 5 - Quiz

What is the Y-INTERCEPT in the formula b = 2t + 8?
A
b
B
2
C
t
D
8

Slide 6 - Quiz

What is the GRADIENT in the formula
t = 25 - 1.5h

A
25
B
-25
C
1.5
D
-1.5

Slide 7 - Quiz

Linear relation in a table
If there is a linear relation between two variables, you can see this in a table. In that case there is a fixed increase in the top AND bottom row of the table.

Slide 8 - Slide

Gradient in a table
Gradient = the fixed increase per step of 1 for the horizontal variable (variable in top row).    So gradient =



steps of 1 in top row                          steps of 2 in top row
gradient =                                              gradient =                     

Slide 9 - Slide

Y-intercept in a table
The y-intercept is the value in the bottom row when the value in the top row is 0. It is the value where the graph intersects the vertical axis





under 0 is 8                                 0 is not in the top row, 1 - 1 = 0 and 7 - 2.5 = 4.5
y-intercept = 8                           y-intercept = 4.5

Slide 10 - Slide

Get to work
Work on ex 4 / 5 / 6 .
Work together, discuss questions + answers.
Check your work carefully,  correct if needed.

Done? Ask teacher for challenges.

Slide 11 - Slide

Homework 
(Monday 27 August)

Study answer model refresh assignment (if necessary)
Do ex 4/5/6/7 of par 1-1
Check and correct your work

Slide 12 - Slide

Exit question
Do these tables correspond to a linear relation?
Explain why or why not.

Give the formula for each table that corresponds to a linear relation.

Slide 13 - Slide