Free Grade 3 Rules and Methods in Introducing Plotting Points Essentials Flashcards
Free Grade 3 flashcards for Rules and Methods in Introducing Plotting Points Essentials: 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
Foundation
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain rules and methods in introducing plotting points essentials
Explain rules and methods in introducing plotting points essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in introducing plotting points essentials
Calculate rules and methods in introducing plotting points essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in introducing plotting points essentials
Compare rules and methods in introducing plotting points essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify rules and methods in introducing plotting points essentials
Justify rules and methods in introducing plotting points essentials 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 Rules and Methods in Introducing Plotting Points Essentials 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 (-6, 4) in?[1]
- 2.Which quadrant is the point (1, 2) in?[1]
- 3.Which quadrant is the point (-5, 3) in?[1]
- 4.Which quadrant is the point (-4, 1) in?[1]
- 5.Find the midpoint of (0, 2) and (8, -6).[2]
- 6.Find the midpoint of (3, -5) and (7, 3).[2]
- 7.Find the midpoint of (-3, -1) and (3, 7).[2]
- 8.Find the midpoint of (1, 5) and (3, 9).[2]
- 9.Find the equation of the line through (2, 0) and (12, 4).[3]
- 10.Find the equation of the line through (-6, 3) and (4, -3).[3]
- 11.Find the equation of the line through (1, -1) and (9, -3).[3]
- 12.Find the equation of the line through (5, 6) and (15, 14).[3]
Show answers and working
1. Second quadrant
x is negative, 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. 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. (4, -2)
Average the x values: (0 + 8) ÷ 2 = 4. Average the y values: (2 + -6) ÷ 2 = -2.
6. (5, -1)
Average the x values: (3 + 7) ÷ 2 = 5. Average the y values: (-5 + 3) ÷ 2 = -1.
7. (0, 3)
Average the x values: (-3 + 3) ÷ 2 = 0. Average the y values: (-1 + 7) ÷ 2 = 3.
8. (2, 7)
Average the x values: (1 + 3) ÷ 2 = 2. Average the y values: (5 + 9) ÷ 2 = 7.
9. y = 0.4x − 0.8
Gradient m = (4 − 0) / (12 − 2) = 0.4. Substitute (2, 0): c = 0 − 0.4 × 2 = -0.8.
10. y = -0.6x − 0.6
Gradient m = (-3 − 3) / (4 − -6) = -0.6. Substitute (-6, 3): c = 3 − -0.6 × (-6) = -0.6.
11. y = -0.25x − 0.75
Gradient m = (-3 − -1) / (9 − 1) = -0.25. Substitute (1, -1): c = -1 − -0.25 × 1 = -0.75.
12. y = 0.8x + 2
Gradient m = (14 − 6) / (15 − 5) = 0.8. Substitute (5, 6): c = 6 − 0.8 × 5 = 2.
Worked examples
Which quadrant is the point (2, -4) in?
- x is positive, y is negative.
- Quadrants go anticlockwise from top-right.
- Answer: Fourth quadrant
Find the midpoint of (0, 0) and (2, 6).
- Average the x values: (0 + 2) ÷ 2 = 1.
- Average the y values: (0 + 6) ÷ 2 = 3.
- Answer: (1, 3)
Find the equation of the line through (-4, -5) and (2, -9).
- Gradient m = (-9 − -5) / (2 − -4) = -0.67.
- Substitute (-4, -5): c = -5 − -0.67 × (-4) = -7.67.
- Answer: y = -0.67x − 7.67
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 Key Vocabulary of Introducing Plotting Points Essentials, Introduction to Introducing Plotting Points Essentials, Probability. Each one has its own free lesson, worksheet and quiz.
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