Year 7 Maths: Graph Integers on Horizontal and Vertical Number Lines

Introduction

Hello, Year 7! Today, we will learn how to graph integers on horizontal and vertical number lines. This will help you understand how to represent numbers visually and make it easier to see their relationships.

What is a Number Line?

A number line is a straight line that shows numbers in order. It can be horizontal (going left to right) or vertical (going up and down).

• Horizontal Number Line: Numbers increase as you move to the right and decrease as you move to the left.
• Vertical Number Line: Numbers increase as you move upwards and decrease as you move downwards.

How to Graph Integers

Step 1: Identify the Number

First, decide which integer you want to graph. An integer is a whole number that can be positive, negative, or zero.

Step 2: Locate the Number on the Number Line

• For a horizontal number line: If you want to graph +3, start at 0 and count three spaces to the right.
• For a vertical number line: If you want to graph -2, start at 0 and count two spaces down.

Example

• To graph +4 on a horizontal number line:
  • Start at 0.
  • Move four spaces to the right.
  • Place a point above +4.
• To graph -3 on a vertical number line:
  • Start at 0.
  • Move three spaces down.
  • Place a point below -3.

Key Rules

1. Positive Numbers: Move to the right (horizontal) or up (vertical).
2. Negative Numbers: Move to the left (horizontal) or down (vertical).
3. Zero: Always starts at the centre of the number line.

Tips and Tricks

• Remember, the more to the right or up you go, the larger the number.
• The more to the left or down, the smaller the number.
• Practice with different integers to become more confident!

Questions

Easy Level Questions

1. Graph +1 on a horizontal number line.
2. Graph -1 on a vertical number line.
3. Where would you graph 0 on a horizontal number line?
4. Graph +2 on a vertical number line.
5. What is the position of -4 on a horizontal number line?
6. Where does +5 go on a vertical number line?
7. Graph -3 on a horizontal number line.
8. What integer would be at the left of +1?
9. Graph +3 on a vertical number line.
10. Where does -2 go on a horizontal number line?
11. Graph 0 on a vertical number line.
12. What is the position of +1 on a horizontal number line?
13. Graph +4 on a vertical number line.
14. Where does -5 go on a horizontal number line?
15. What integer is two spaces to the left of 0?
16. Graph +6 on a horizontal number line.
17. Where does +2 go on a vertical number line?
18. Graph -1 on a horizontal number line.
19. What integer is one space to the right of -3?
20. Graph -2 on a vertical number line.

Medium Level Questions

1. Graph +7 on a horizontal number line.
2. Where does -6 go on a vertical number line?
3. Graph +5 on a vertical number line.
4. What is the integer at the position three spaces to the left of +4?
5. Graph -7 on a horizontal number line.
6. Where does +8 go on a vertical number line?
7. Graph -9 on a vertical number line.
8. What is the position of +6 on a horizontal number line?
9. Graph +3 and +5 on a horizontal number line.
10. Where does -4 go on a vertical number line?
11. Graph -3 and +2 on a vertical number line.
12. What integer is three spaces to the right of -2?
13. Graph +2, +1, and 0 on a horizontal number line.
14. Where does -6 go on a horizontal number line?
15. Graph +4 and -1 on a vertical number line.
16. What is the integer at the position one space to the left of -5?
17. Graph +8 on a horizontal number line.
18. Where does +10 go on a vertical number line?
19. Graph -2 and -3 on a horizontal number line.
20. What integer is two spaces to the left of +1?

Hard Level Questions

1. Graph +12 on a horizontal number line.
2. Where does -11 go on a vertical number line?
3. Graph +9 on a vertical number line.
4. What is the integer five spaces to the left of +3?
5. Graph -10 on a horizontal number line.
6. Where does +14 go on a vertical number line?
7. Graph -12 on a vertical number line.
8. What is the position of -8 on a horizontal number line?
9. Graph +7, +5, and +3 on a horizontal number line.
10. Where does -9 go on a vertical number line?
11. Graph +6, -1, and +2 on a vertical number line.
12. What integer is four spaces to the right of -6?
13. Graph +11 on a horizontal number line.
14. Where does -7 go on a horizontal number line?
15. Graph +4, -5, and +1 on a vertical number line.
16. What is the integer at the position three spaces to the left of +2?
17. Graph +15 on a horizontal number line.
18. Where does -13 go on a vertical number line?
19. Graph +8 and -4 on a horizontal number line.
20. What integer is three spaces to the left of +5?

Answers

Easy Level Answers

1. Graphing +1: Start at 0, move one space to the right. Place a point at +1.
2. Graphing -1: Start at 0, move one space down. Place a point below -1.
3. Position of 0: Zero is always at the centre of the number line. It separates positive and negative numbers.
4. Graphing +2: Start at 0, move two spaces to the right. Place a point at +2.
5. Position of -4: Start at 0, move four spaces to the left. Place a point at -4.
6. Graphing +5: Start at 0, move five spaces to the right. Place a point at +5.
7. Graphing -3: Start at 0, move three spaces to the left. Place a point at -3.
8. Integer to the left of +1: The integer is 0. It is one space to the left of +1.
9. Graphing +3: Start at 0, move three spaces to the right. Place a point at +3.
10. Position of -2: Start at 0, move two spaces to the left. Place a point at -2.
11. Graphing 0: Zero is at the centre of the number line. It is where positive and negative numbers meet.
12. Position of +1: Start at 0, move one space to the right. Place a point at +1.
13. Graphing +4: Start at 0, move four spaces to the right. Place a point at +4.
14. Position of -5: Start at 0, move five spaces to the left. Place a point at -5.
15. Integer to the left of 0: The integer is -1. It is one space to the left of 0.
16. Graphing +6: Start at 0, move six spaces to the right. Place a point at +6.
17. Position of +2: Start at 0, move two spaces to the right. Place a point at +2.
18. Graphing -1: Start at 0, move one space to the left. Place a point at -1.
19. Integer to the right of -3: The integer is -2. It is one space to the right of -3.
20. Graphing -2: Start at 0, move two spaces to the left. Place a point at -2.

Medium Level Answers

1. Graphing +7: Start at 0, move seven spaces to the right. Place a point at +7.
2. Position of -6: Start at 0, move six spaces down. Place a point at -6.
3. Graphing +5: Start at 0, move five spaces up. Place a point at +5.
4. Integer three spaces left of +4: The integer is +1. It is three spaces to the left of +4.
5. Graphing -7: Start at 0, move seven spaces to the left. Place a point at -7.
6. Position of +8: Start at 0, move eight spaces up. Place a point at +8.
7. Graphing -9: Start at 0, move nine spaces down. Place a point at -9.
8. Position of +6: Start at 0, move six spaces to the right. Place a point at +6.
9. Graphing +3 and +5: Start at 0, move three spaces to the right for +3, then five spaces for +5. Place points at +3 and +5.
10. Position of -4: Start at 0, move four spaces down. Place a point at -4.
11. Graphing -3 and +2: Start at 0, move three spaces to the left for -3 and two spaces to the right for +2. Place points at -3 and +2.
12. Integer three spaces right of -2: The integer is +1. It is three spaces to the right of -2.
13. Graphing +2, +1, and 0: Start at 0, move two spaces to the right for +2, one for +1, and stay at 0. Place points at +2, +1, and 0.
14. Position of -6: Start at 0, move six spaces to the left. Place a point at -6.
15. Graphing +4 and -1: Start at 0, move four spaces to the right for +4 and one space to the left for -1. Place points at +4 and -1.
16. Integer three spaces left of +2: The integer is -1. It is three spaces to the left of +2.
17. Graphing +8: Start at 0, move eight spaces to the right. Place a point at +8.
18. Position of -13: Start at 0, move thirteen spaces down. Place a point at -13.
19. Graphing +10: Start at 0, move ten spaces to the right. Place a point at +10.
20. Integer two spaces left of +1: The integer is -1. It is two spaces to the left of +1.

Hard Level Answers

1. Graphing +12: Start at 0, move twelve spaces to the right. Place a point at +12.
2. Position of -11: Start at 0, move eleven spaces down. Place a point at -11.
3. Graphing +9: Start at 0, move nine spaces up. Place a point at +9.
4. Integer five spaces left of +3: The integer is -2. It is five spaces to the left of +3.
5. Graphing -10: Start at 0, move ten spaces to the left. Place a point at -10.
6. Position of +14: Start at 0, move fourteen spaces up. Place a point at +14.
7. Graphing -12: Start at 0, move twelve spaces down. Place a point at -12.
8. Position of -8: Start at 0, move eight spaces to the left. Place a point at -8.
9. Graphing +7, +5, and +3: Start at 0, move seven spaces to the right for +7, five for +5, and three for +3. Place points at +7, +5, and +3.
10. Position of -9: Start at 0, move nine spaces to the left. Place a point at -9.
11. Graphing +6, -1, and +2: Start at 0, move six spaces to the right for +6, one space to the left for -1, and two spaces to the right for +2. Place points at +6, -1, and +2.
12. Integer four spaces right of -6: The integer is -2. It is four spaces to the right of -6.
13. Graphing +11: Start at 0, move eleven spaces to the right. Place a point at +11.
14. Position of -7: Start at 0, move seven spaces to the left. Place a point at -7.
15. Graphing +4, -5, and +1: Start at 0, move four spaces to the right for +4, five spaces to the left for -5, and one space to the right for +1. Place points at +4, -5, and +1.
16. Integer three spaces left of +2: The integer is -1. It is three spaces to the left of +2.
17. Graphing +15: Start at 0, move fifteen spaces to the right. Place a point at +15.
18. Position of -13: Start at 0, move thirteen spaces to the left. Place a point at -13.
19. Graphing +8 and -4: Start at 0, move eight spaces to the right for +8 and four spaces to the left for -4. Place points at +8 and -4.
20. Integer three spaces left of +5: The integer is +2. It is three spaces to the left of +5.

Now that you’ve learned how to graph integers on horizontal and vertical number lines, practice with the questions to become more confident! Happy graphing!