Free Grade 3 Plotting Points in Context Word Problems in Examinations Flashcards
Free Grade 3 flashcards for Plotting Points in Context Word Problems 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.
Free
Core
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify plotting points in context word problems in examinations
Identify plotting points in context word problems in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain plotting points in context word problems in examinations
Explain plotting points in context word problems in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate plotting points in context word problems in examinations
Calculate plotting points in context word problems in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare plotting points in context word problems in examinations
Compare plotting points in context word problems 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 Plotting Points in Context Word Problems 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 (4, 1) in?[1]
- 2.Which quadrant is the point (1, 5) in?[1]
- 3.Which quadrant is the point (2, 6) in?[1]
- 4.Which quadrant is the point (-2, -6) in?[1]
- 5.Find the midpoint of (1, -1) and (9, 5).[2]
- 6.Find the midpoint of (0, 5) and (10, 11).[2]
- 7.Find the midpoint of (1, -5) and (7, 3).[2]
- 8.Find the midpoint of (-3, -1) and (7, -1).[2]
- 9.Find the equation of the line through (4, -3) and (14, -5).[3]
- 10.Find the equation of the line through (-3, -1) and (3, -3).[3]
- 11.Find the equation of the line through (-4, 2) and (-2, 8).[3]
- 12.Find the equation of the line through (-4, -1) and (4, -9).[3]
Show answers and working
1. First quadrant
x is positive, y is positive. Quadrants go anticlockwise from top-right.
2. First quadrant
x is positive, y is positive. Quadrants go anticlockwise from top-right.
3. First quadrant
x is positive, y is positive. Quadrants go anticlockwise from top-right.
4. Third quadrant
x is negative, y is negative. Quadrants go anticlockwise from top-right.
5. (5, 2)
Average the x values: (1 + 9) ÷ 2 = 5. Average the y values: (-1 + 5) ÷ 2 = 2.
6. (5, 8)
Average the x values: (0 + 10) ÷ 2 = 5. Average the y values: (5 + 11) ÷ 2 = 8.
7. (4, -1)
Average the x values: (1 + 7) ÷ 2 = 4. Average the y values: (-5 + 3) ÷ 2 = -1.
8. (2, -1)
Average the x values: (-3 + 7) ÷ 2 = 2. Average the y values: (-1 + -1) ÷ 2 = -1.
9. y = -0.2x − 2.2
Gradient m = (-5 − -3) / (14 − 4) = -0.2. Substitute (4, -3): c = -3 − -0.2 × 4 = -2.2.
10. y = -0.33x − 2
Gradient m = (-3 − -1) / (3 − -3) = -0.33. Substitute (-3, -1): c = -1 − -0.33 × (-3) = -2.
11. y = 3x + 14
Gradient m = (8 − 2) / (-2 − -4) = 3. Substitute (-4, 2): c = 2 − 3 × (-4) = 14.
12. y = -1x − 5
Gradient m = (-9 − -1) / (4 − -4) = -1. Substitute (-4, -1): c = -1 − -1 × (-4) = -5.
Worked examples
Which quadrant is the point (6, -4) in?
- x is positive, y is negative.
- Quadrants go anticlockwise from top-right.
- Answer: Fourth quadrant
Find the midpoint of (5, 5) and (11, 13).
- Average the x values: (5 + 11) ÷ 2 = 8.
- Average the y values: (5 + 13) ÷ 2 = 9.
- Answer: (8, 9)
Find the equation of the line through (-5, -4) and (1, -8).
- Gradient m = (-8 − -4) / (1 − -5) = -0.67.
- Substitute (-5, -4): c = -4 − -0.67 × (-5) = -7.33.
- Answer: y = -0.67x − 7.33
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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- Start with Working with Plotting Points in Context Word Problems, Rules and Methods in Plotting Points in Context Word Problems, Plotting Points in Context Techniques. Each one has its own free lesson, worksheet and quiz.
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