Free Grade 3 Matrix Multiplication in Context Essentials Lesson Plans
Free Grade 3 lesson plans for Matrix Multiplication in Context Essentials: 12 real questions with a full answer key and worked solutions. A matrix is a grid of numbers. For a 2×2 matrix [[a, b], [c, d]], the determinant is ad − bc.
Free
Foundation
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify matrix multiplication in context essentials
Identify matrix multiplication in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain matrix multiplication in context essentials
Explain matrix multiplication in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate matrix multiplication in context essentials
Calculate matrix multiplication in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare matrix multiplication in context essentials
Compare matrix multiplication in context 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 Matrix Multiplication in Context Essentials works
A matrix is a grid of numbers. For a 2×2 matrix [[a, b], [c, d]], the determinant is ad − bc.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Find the determinant of [[-1, 1], [4, 5]].[1]
- 2.Find the determinant of [[6, -2], [6, 2]].[1]
- 3.Find the determinant of [[1, -1], [0, -4]].[1]
- 4.Find the determinant of [[-3, 5], [1, -2]].[1]
- 5.Find the determinant of [[2, 0], [5, -1]].[2]
- 6.Find the determinant of [[-2, -2], [2, 5]].[2]
- 7.Find the determinant of [[1, 3], [-3, -2]].[2]
- 8.Find the determinant of [[-2, 6], [0, 5]].[2]
- 9.Find the determinant of [[4, 4], [6, -1]].[3]
- 10.Find the determinant of [[-2, 6], [4, 1]].[3]
- 11.Find the determinant of [[-2, 3], [-1, 4]].[3]
- 12.Find the determinant of [[-4, -3], [2, -2]].[3]
Show answers and working
1. -9
det = ad − bc. -1 × 5 − 1 × 4 = -9.
2. 24
det = ad − bc. 6 × 2 − -2 × 6 = 24.
3. -4
det = ad − bc. 1 × -4 − -1 × 0 = -4.
4. 1
det = ad − bc. -3 × -2 − 5 × 1 = 1.
5. -2
det = ad − bc. 2 × -1 − 0 × 5 = -2.
6. -6
det = ad − bc. -2 × 5 − -2 × 2 = -6.
7. 7
det = ad − bc. 1 × -2 − 3 × -3 = 7.
8. -10
det = ad − bc. -2 × 5 − 6 × 0 = -10.
9. -28
det = ad − bc. 4 × -1 − 4 × 6 = -28.
10. -26
det = ad − bc. -2 × 1 − 6 × 4 = -26.
11. -5
det = ad − bc. -2 × 4 − 3 × -1 = -5.
12. 14
det = ad − bc. -4 × -2 − -3 × 2 = 14.
Worked examples
Find the determinant of [[-3, 1], [2, 4]].
- det = ad − bc.
- -3 × 4 − 1 × 2 = -14.
- Answer: -14
Find the determinant of [[1, 6], [1, 0]].
- det = ad − bc.
- 1 × 0 − 6 × 1 = -6.
- Answer: -6
Find the determinant of [[5, 3], [4, -2]].
- det = ad − bc.
- 5 × -2 − 3 × 4 = -22.
- Answer: -22
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Calculates ab − cd.
Correction: Multiply the diagonals: ad − bc.
Gets signs wrong with negatives.
Correction: Bracket negatives before multiplying.
Teacher tips
- · Colour the two diagonals in different colours.
Parent tips
- · Point out spreadsheets as grids of numbers.
Real-life applications
- · Computer graphics, transformations.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Matrix Multiplication in Context Essentials lesson plan really free?
- Yes. Every lesson plans 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 Working with Matrix Multiplication. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan 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 Matrix Multiplication in Context Essentials?
- Move on to Matrix Multiplication in Context Techniques, Matrix Multiplication in Context Word Problems, Matrix Multiplication in Context Common Errors, Introducing Matrix Multiplication, which build directly on this idea.
Related resources
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