Free Grade 3 Introducing Plotting Points Common Errors in Examinations Worksheets
Free Grade 3 worksheets for Introducing Plotting Points Common Errors in Examinations: 12 real questions with a full answer key and worked solutions. A coordinate (x, y) gives a position: across first, then up. The gradient of a line is rise over run, and y = mx + c describes a straight line.
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15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing plotting points common errors in examinations
Explain introducing plotting points common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing plotting points common errors in examinations
Calculate introducing plotting points common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing plotting points common errors in examinations
Compare introducing plotting points common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing plotting points common errors in examinations
Justify introducing plotting points common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Introducing Plotting Points Common Errors in Examinations works
A coordinate (x, y) gives a position: across first, then up. The gradient of a line is rise over run, and y = mx + c describes a straight line.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Which quadrant is the point (1, -5) in?[1]
- 2.Which quadrant is the point (-6, -5) in?[1]
- 3.Which quadrant is the point (-3, 4) in?[1]
- 4.Which quadrant is the point (-3, 2) in?[1]
- 5.Find the midpoint of (3, -3) and (11, -7).[2]
- 6.Find the midpoint of (2, -4) and (6, -8).[2]
- 7.Find the midpoint of (0, 4) and (8, -4).[2]
- 8.Find the midpoint of (-3, -6) and (7, -10).[2]
- 9.Find the equation of the line through (-6, 2) and (4, 8).[3]
- 10.Find the equation of the line through (-5, -4) and (5, -4).[3]
- 11.Find the equation of the line through (-4, -1) and (0, -9).[3]
- 12.Find the equation of the line through (1, 4) and (3, -2).[3]
Show answers and working
1. Fourth quadrant
x is positive, y is negative. Quadrants go anticlockwise from top-right.
2. Third quadrant
x is negative, y is negative. Quadrants go anticlockwise from top-right.
3. Second quadrant
x is negative, y is positive. Quadrants go anticlockwise from top-right.
4. Second quadrant
x is negative, y is positive. Quadrants go anticlockwise from top-right.
5. (7, -5)
Average the x values: (3 + 11) ÷ 2 = 7. Average the y values: (-3 + -7) ÷ 2 = -5.
6. (4, -6)
Average the x values: (2 + 6) ÷ 2 = 4. Average the y values: (-4 + -8) ÷ 2 = -6.
7. (4, 0)
Average the x values: (0 + 8) ÷ 2 = 4. Average the y values: (4 + -4) ÷ 2 = 0.
8. (2, -8)
Average the x values: (-3 + 7) ÷ 2 = 2. Average the y values: (-6 + -10) ÷ 2 = -8.
9. y = 0.6x + 5.6
Gradient m = (8 − 2) / (4 − -6) = 0.6. Substitute (-6, 2): c = 2 − 0.6 × (-6) = 5.6.
10. y = 0x − 4
Gradient m = (-4 − -4) / (5 − -5) = 0. Substitute (-5, -4): c = -4 − 0 × (-5) = -4.
11. y = -2x − 9
Gradient m = (-9 − -1) / (0 − -4) = -2. Substitute (-4, -1): c = -1 − -2 × (-4) = -9.
12. y = -3x + 7
Gradient m = (-2 − 4) / (3 − 1) = -3. Substitute (1, 4): c = 4 − -3 × 1 = 7.
Worked examples
Which quadrant is the point (2, -3) in?
- x is positive, y is negative.
- Quadrants go anticlockwise from top-right.
- Answer: Fourth quadrant
Find the midpoint of (-6, -6) and (0, -4).
- Average the x values: (-6 + 0) ÷ 2 = -3.
- Average the y values: (-6 + -4) ÷ 2 = -5.
- Answer: (-3, -5)
Find the equation of the line through (2, 1) and (10, 9).
- Gradient m = (9 − 1) / (10 − 2) = 1.
- Substitute (2, 1): c = 1 − 1 × 2 = -1.
- Answer: y = 1x − 1
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Plots (y, x) instead of (x, y).
Correction: Along the corridor, then up the stairs.
Calculates gradient as run over rise.
Correction: Gradient = change in y ÷ change in x.
Teacher tips
- · Play coordinate battleships.
Parent tips
- · Find places on a map using grid references.
Real-life applications
- · Maps, game boards, GPS.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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