Free Grade 3 Plotting Points in Context Techniques Flashcards
Free Grade 3 flashcards for Plotting Points in Context Techniques: 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.
Free
Higher
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain plotting points in context techniques
Explain plotting points in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate plotting points in context techniques
Calculate plotting points in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare plotting points in context techniques
Compare plotting points in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify plotting points in context techniques
Justify plotting points in context techniques 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 Plotting Points in Context Techniques 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 (-2, -6) in?[1]
- 2.Which quadrant is the point (6, -3) in?[1]
- 3.Which quadrant is the point (1, 1) in?[1]
- 4.Which quadrant is the point (5, 5) in?[1]
- 5.Find the midpoint of (-5, 5) and (1, 3).[2]
- 6.Find the midpoint of (6, 3) and (16, 7).[2]
- 7.Find the midpoint of (-4, 6) and (6, 4).[2]
- 8.Find the midpoint of (-1, 5) and (7, 9).[2]
- 9.Find the equation of the line through (-1, 1) and (3, 3).[3]
- 10.Find the equation of the line through (6, -4) and (8, -6).[3]
- 11.Find the equation of the line through (6, 1) and (12, -5).[3]
- 12.Find the equation of the line through (1, 3) and (7, 7).[3]
Show answers and working
1. Third quadrant
x is negative, y is negative. Quadrants go anticlockwise from top-right.
2. Fourth quadrant
x is positive, y is negative. Quadrants go anticlockwise from top-right.
3. First quadrant
x is positive, y is positive. Quadrants go anticlockwise from top-right.
4. First quadrant
x is positive, y is positive. Quadrants go anticlockwise from top-right.
5. (-2, 4)
Average the x values: (-5 + 1) ÷ 2 = -2. Average the y values: (5 + 3) ÷ 2 = 4.
6. (11, 5)
Average the x values: (6 + 16) ÷ 2 = 11. Average the y values: (3 + 7) ÷ 2 = 5.
7. (1, 5)
Average the x values: (-4 + 6) ÷ 2 = 1. Average the y values: (6 + 4) ÷ 2 = 5.
8. (3, 7)
Average the x values: (-1 + 7) ÷ 2 = 3. Average the y values: (5 + 9) ÷ 2 = 7.
9. y = 0.5x + 1.5
Gradient m = (3 − 1) / (3 − -1) = 0.5. Substitute (-1, 1): c = 1 − 0.5 × (-1) = 1.5.
10. y = -1x + 2
Gradient m = (-6 − -4) / (8 − 6) = -1. Substitute (6, -4): c = -4 − -1 × 6 = 2.
11. y = -1x + 7
Gradient m = (-5 − 1) / (12 − 6) = -1. Substitute (6, 1): c = 1 − -1 × 6 = 7.
12. y = 0.67x + 2.33
Gradient m = (7 − 3) / (7 − 1) = 0.67. Substitute (1, 3): c = 3 − 0.67 × 1 = 2.33.
Worked examples
Which quadrant is the point (-4, 4) in?
- x is negative, y is positive.
- Quadrants go anticlockwise from top-right.
- Answer: Second quadrant
Find the midpoint of (-5, -2) and (-3, -4).
- Average the x values: (-5 + -3) ÷ 2 = -4.
- Average the y values: (-2 + -4) ÷ 2 = -3.
- Answer: (-4, -3)
Find the equation of the line through (3, -1) and (5, 3).
- Gradient m = (3 − -1) / (5 − 3) = 2.
- Substitute (3, -1): c = -1 − 2 × 3 = -7.
- Answer: y = 2x − 7
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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Frequently asked
- Is this Grade 3 Plotting Points in Context Techniques flashcards really free?
- Yes. Every flashcards on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Plotting Points in Context Essentials, Working with Plotting Points. Each one has its own free lesson, worksheet and quiz.
- How is the flashcards sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Plotting Points in Context Techniques?
- Move on to Plotting Points in Context Word Problems, Plotting Points in Context Common Errors, Introducing Plotting Points, Working with Plotting Points, which build directly on this idea.
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