Yr 8 Unit 4 Week 1 - Lesson 3

• Mathematics
• Lower Secondary (Key Stage 3)

Yr 8 Unit 4 Week 1 - Lesson 3

Explain the difference between a horizontal line and a vertical line.

DO NOW

TITLE - Unit 4 Week 1 - Lesson 3 - DO NOW

INSTRUCTIONS - Write down the questions in your exercise book and answer them.

QUESTIONS - Do the questions on the left hand side.

Red

Green

Blue

Purple

Use the image above and the colour of the lines to drag either horizontal or vertical onto the colour targets.

Horizontal

Vertical

Horizontal

Vertical

Drag and drop the correct values onto the inequalities above in order to describe the two shaded regions in the graph to the right.

-2

-1

0

1

2

3

4

5

6

7

8

9

NEW LEARNING

TITLE - Unit 4 Week 1 - Lesson 3 NEW LEARNING

INSTRUCTIONS - Copy the sentence to the left of the graph and draw the graph in your exercise book.

Using the notes from the New Learning, describe what is meant by a LATTICE POINT

LATTICE POINT

A lattice point is a point on a graph whose coordinate positions are where a VERTICAL AND HORIZONTAL LINE MEET.

The x and y value are INTEGERS i.e.

x = 1 and y = 2

x = -3 and y = -5

1. 1 < x < 3
2. 1 ≤ x < 3
3. 1 ≤ x ≤ 3
4. 1 < x ≤ 3

The inequality represented by the shaded region is:

1. -5 < y < 5
2. x < 9 and y < 4
3. -1 < y < 4
4. -9 < x < 9

1. 4
2. 6
3. 8
4. 9

3

Draw a sketch to help you work out how many lattice points are enclosed by the region:

1 < x < 4

1 < y < 4

1. 2
2. 3
3. 4
4. 6

Today we have been looking at graphs and how regions can be defined using inequalities.
Please answer below how well you have understood this work.

I understand all of it

I am not sure about how the inequalities are shown on a graph

I have some questions that I would like to ask

I was able to follow some parts

I did not understand it.

INDEPENDENT STUDY

TITLE - Unit 4 Week 1 - Lesson 3 INDEPENDENT STUDY

INSTRUCTIONS - Copy the questions into your exercise book and answer. 

INSTRUCTIONS - Only do questions 1 - 2 and show your working out on the sheets provided.

List one thing that we have done in this lesson.

Do you understand how an inequality can be shown on a graph?

Yes I understand how an inequality can be shown on a graph

I can shade a simple inequality such as x < 2 on a graph

I can draw a simple inequality with some help

I do not know how to draw a simple inequality on a grapg