Free Grade 3 Introducing Matrix Multiplication Word Problems Lesson Plans
Free Grade 3 lesson plans for Introducing Matrix Multiplication Word Problems: 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
Higher
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing matrix multiplication word problems
Identify introducing matrix multiplication word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing matrix multiplication word problems
Explain introducing matrix multiplication word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing matrix multiplication word problems
Calculate introducing matrix multiplication word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing matrix multiplication word problems
Compare introducing matrix multiplication word problems 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 Matrix Multiplication Word Problems 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, 2], [-4, -2]].[1]
- 2.Find the determinant of [[5, 0], [-1, 6]].[1]
- 3.Find the determinant of [[5, -3], [-3, 4]].[1]
- 4.Find the determinant of [[0, -3], [5, -1]].[1]
- 5.Find the determinant of [[4, -3], [0, -3]].[2]
- 6.Find the determinant of [[1, 3], [3, -4]].[2]
- 7.Find the determinant of [[-1, 2], [-3, -2]].[2]
- 8.Find the determinant of [[6, -2], [0, 5]].[2]
- 9.Find the determinant of [[-1, -1], [6, 5]].[3]
- 10.Find the determinant of [[0, -2], [-2, -1]].[3]
- 11.Find the determinant of [[-4, 5], [0, 0]].[3]
- 12.Find the determinant of [[2, 5], [-3, -4]].[3]
Show answers and working
1. 6
det = ad − bc. 1 × -2 − 2 × -4 = 6.
2. 30
det = ad − bc. 5 × 6 − 0 × -1 = 30.
3. 11
det = ad − bc. 5 × 4 − -3 × -3 = 11.
4. 15
det = ad − bc. 0 × -1 − -3 × 5 = 15.
5. -12
det = ad − bc. 4 × -3 − -3 × 0 = -12.
6. -13
det = ad − bc. 1 × -4 − 3 × 3 = -13.
7. 8
det = ad − bc. -1 × -2 − 2 × -3 = 8.
8. 30
det = ad − bc. 6 × 5 − -2 × 0 = 30.
9. 1
det = ad − bc. -1 × 5 − -1 × 6 = 1.
10. -4
det = ad − bc. 0 × -1 − -2 × -2 = -4.
11. 0
det = ad − bc. -4 × 0 − 5 × 0 = 0.
12. 7
det = ad − bc. 2 × -4 − 5 × -3 = 7.
Worked examples
Find the determinant of [[4, 2], [1, -2]].
- det = ad − bc.
- 4 × -2 − 2 × 1 = -10.
- Answer: -10
Find the determinant of [[5, 4], [0, -3]].
- det = ad − bc.
- 5 × -3 − 4 × 0 = -15.
- Answer: -15
Find the determinant of [[6, 4], [-2, 6]].
- det = ad − bc.
- 6 × 6 − 4 × -2 = 44.
- Answer: 44
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
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- 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 Introducing Matrix Multiplication Techniques, Introducing Matrix Multiplication Essentials, Matrix Addition. 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 Introducing Matrix Multiplication Word Problems?
- Move on to Introducing Matrix Multiplication Common Errors, Working with Matrix Multiplication, Matrix Multiplication in Context, which build directly on this idea.
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