1718 WB1Y CH3 Lesson 5

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 1

Which exercises should I discuss on the board?

Goals Chapter 3

You can read off information from a graph

What whas the speed after 4 seconds?

You can read off information from a graph

What whas the speed after 4 seconds?

The point on the graph with horizontal
coordinate 4 has vertical coordinate 18.

18 m/s

You can use coordinate notation

Plot point A with coordinates (3, 5.5) in a coordinate system.

You can use coordinate notation

Plot point A with coordinates (3, 5.5) in a coordinate system.

You can find points of intersection

What are the coordinates of the
points of intersection of the line
through points A and B with:
- the horizontal axis?
- the vertical axis?
- the line through points C and D?

You can find points of intersection

What are the coordinates of the
points of intersection of the line
through points A and B with:
- the horizontal axis?
- the vertical axis?
- the line through points C and D?

You can find points of intersection

What are the coordinates of the
points of intersection of the line
through points A and B with:
- the horizontal axis?                            (10.5, 0)
- the vertical axis?                                  (0, 7)
- the line through points C and D?  (9, 1)

You know what grid points are and what the origin is

Which points are grid points?
Which point is the origin?

You know what grid points are and what the origin is

Which points are grid points?
Which point is the origin?

B, C and D are grid points
D is the origin

You can work out which points lie on a line outside the coordinate system

If you extend the line through
A and B to the right, it will
pass through a point with
first coordinate 30. What is
the second coordinate?

You can work out which points lie on a line outside the coordinate system

If you extend the line through A and B to the right, it
will pass through a point with first coordinate 30.
What is the second coordinate?

2 steps to the right on the horizontal axis is 3
steps up on the vertical axis. So 1 step to the right
on the horizontal axis is 1.5 steps up on the vertical
axis. From point (1, 1) you have to go 29 steps to the
right, so you have to go 29 x 1.5 = 43.5 steps up, so
you will be at point (30, 44.5).
The second coordinate is 44.5

You can identify what the variables and units are used in a coordinate system

What variable is given on the horizontal axis?
What variable is given on the vertical axis?
What unit is used on the horizontal axis?
What unit is used on the vertical axis?

You can identify what the variables and units are used in a coordinate system

What variable is given on the horizontal axis?
Time
What variable is given on the vertical axis?
Distance
What unit is used on the horizontal axis?
s (Seconds)
What unit is used on the vertical axis?
m (Metres)

You can identify when a graph is rising, when it is constant and when it is falling

When does the graph rise, when does it stay constant and when does it fall?

You can identify when a graph is rising, when it is constant and when it is falling

When does the graph rise, when does it stay constant and when does it fall?

From 0 to 6 seconds the graph rises
From 6 to 11 seconds the graph is constant
From 11 to 18 seconds the graph falls

You can plot a graph from a table

- Bottom row of a table = vertical axis
- Top row of a table = horizontal axis
- Use a zigzag if needed
- Pick an appropriate scale
- Label your axes
- Use a pencil and (sometimes) a geotriangle!
(See LessonUp about plotting graphs)

You know these words

graph                                 coordinates        grid point         variable       compare
increase                           corresponds       lowest               unit                table
decrease                          extend                   highest             relation
coordinate system      lie on                       plotting            rising
horizontal                        midpoint               vertex                falling
vertical                              value                       intersection    constant
axis/axes                          origin                     zigzag                 scale

Is there anything I should explain again?

Homework Tuesday

Make and correct from §3.6:
33, 34, 35, 36, 37, 38