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Free Grade 3 Introducing Matrix Addition Essentials Flashcards

Free Grade 3 flashcards for Introducing Matrix Addition 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.

Price

Free

Difficulty

Core

Estimated time

15 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • RememberIdentify introducing matrix addition essentials

    Identify introducing matrix addition essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introducing matrix addition essentials

    Explain introducing matrix addition essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing matrix addition essentials

    Calculate introducing matrix addition essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing matrix addition essentials

    Compare introducing matrix addition 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 Introducing Matrix Addition Essentials works

A matrix is a grid of numbers. For a 2×2 matrix [[a, b], [c, d]], the determinant is ad − bc.

Key wordsmatrixdeterminantrowcolumn

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.Find the determinant of [[4, 3], [0, 2]].[1]
  2. 2.Find the determinant of [[-1, -4], [5, 2]].[1]
  3. 3.Find the determinant of [[-3, -1], [3, -1]].[1]
  4. 4.Find the determinant of [[-4, -3], [-3, -4]].[1]
  5. 5.Find the determinant of [[-3, 3], [6, 6]].[2]
  6. 6.Find the determinant of [[-1, -4], [3, -2]].[2]
  7. 7.Find the determinant of [[0, 4], [1, 1]].[2]
  8. 8.Find the determinant of [[-2, 1], [1, -2]].[2]
  9. 9.Find the determinant of [[2, -2], [5, 6]].[3]
  10. 10.Find the determinant of [[-3, -3], [4, 6]].[3]
  11. 11.Find the determinant of [[-1, -4], [-1, 6]].[3]
  12. 12.Find the determinant of [[1, 4], [-1, -3]].[3]
Show answers and working
  1. 1. 8

    det = ad − bc. 4 × 2 − 3 × 0 = 8.

  2. 2. 18

    det = ad − bc. -1 × 2 − -4 × 5 = 18.

  3. 3. 6

    det = ad − bc. -3 × -1 − -1 × 3 = 6.

  4. 4. 7

    det = ad − bc. -4 × -4 − -3 × -3 = 7.

  5. 5. -36

    det = ad − bc. -3 × 6 − 3 × 6 = -36.

  6. 6. 14

    det = ad − bc. -1 × -2 − -4 × 3 = 14.

  7. 7. -4

    det = ad − bc. 0 × 1 − 4 × 1 = -4.

  8. 8. 3

    det = ad − bc. -2 × -2 − 1 × 1 = 3.

  9. 9. 22

    det = ad − bc. 2 × 6 − -2 × 5 = 22.

  10. 10. -6

    det = ad − bc. -3 × 6 − -3 × 4 = -6.

  11. 11. -10

    det = ad − bc. -1 × 6 − -4 × -1 = -10.

  12. 12. 1

    det = ad − bc. 1 × -3 − 4 × -1 = 1.

Worked examples

Easy example

Find the determinant of [[-2, 0], [-3, -1]].

  1. det = ad − bc.
  2. -2 × -1 − 0 × -3 = 2.
  3. Answer: 2
Medium example

Find the determinant of [[3, -2], [1, 0]].

  1. det = ad − bc.
  2. 3 × 0 − -2 × 1 = 2.
  3. Answer: 2
Hard example

Find the determinant of [[1, 5], [6, -1]].

  1. det = ad − bc.
  2. 1 × -1 − 5 × 6 = -31.
  3. Answer: -31

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.

COMMON-CORE COM-135.1 — Mapped statement covering Introducing Matrix Addition Essentials.OCR OCR-176.2 — Mapped statement covering Introducing Matrix Addition Essentials.

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What should a learner already know before this?
Start with Vectors. Each one has its own free lesson, worksheet and quiz.
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What comes next after Introducing Matrix Addition Essentials?
Move on to Introducing Matrix Addition Techniques, Introducing Matrix Addition Word Problems, Introducing Matrix Addition Common Errors, Working with Matrix Addition, which build directly on this idea.

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