lesson 3 solving problems using algebra

Entry Activity – Level 4

Answers – Magic Squares – Level 4

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Today I will learn to solve algebraic problems involving multiple unknowns Level 6

Challenge Objective:

Solve algebraic problems involving multiple/ negative unknowns Level 6+

Key Words

Substitute, Unknown, Generate, Term, Inverse, Describe, Negative

•All will find the magic number

•Most will find the unknowns on a level 6 problem

•Some will find unknowns in the level 6+ problem

Have you heard of the Key WordsKey Words I know what it

means, which is...

Heard it but not sure what it means

Never heard it before

What it means is...

Substitute

Unknown

Term

Generate

Inverse

Negative

• The yellow circles add together to make the green squares.

• A, B and C are positive whole numbers, can you find what they are?

Do we all get the same for A, B & C?

Who’s correct?

Let’s do it using algebra and then we know we have the correct answers!

• The yellow circles add together to make the green squares.

Success CriteriaStep 1) Write down what we knowA + B = 14B + C = 11A + C = 13. Step 2) Choose 2 sums and put them together, A + B + B + C = 14 + 11Step 3) Simplify itA + 2B + C = 25. Step 4) Take out what you canTake out of this A + C = 13, which leaves 2B = 12, so B is 6. Step 5) Put in the letter you have worked out and then it is easy to work the rest of the numbers out.

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Today I will learn to solve algebraic problems involving multiple unknowns Level 6

Challenge Objective:

Solve algebraic problems involving multiple/ negative unknowns Level 6+

Key Words

Substitute, Unknown, Generate, Term, Inverse, Describe, Negative

•All will find the magic number

•Most will find the unknowns on a level 6 problem

•Some will find unknowns in the level 6+ problem

Level 6

Level 6

Answers – Level 6

1 a A = 8, B = 7, C = 6

b A = 10, B = 15, C = 6

c A = 1, B = 11, C = 22

2 a A = –1, B = 5, C = 3

b A = 7, B = –3, C = 4

c A = –3, B = 6, C = –8

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Today I will learn to solve algebraic problems involving multiple unknowns Level 6

Challenge Objective:

Solve algebraic problems involving multiple/ negative unknowns Level 6+

Key Words

Substitute, Unknown, Generate, Term, Inverse, Describe, Negative

•All will find the magic number

•Most will find the unknowns on a level 6 problem

•Some will find unknowns in the level 6+ problem

Extension Activity – Level 6+

Answers – Extension Activity – Level 6+

• A = 1.5

• B = –2.5

• C = 3.5

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Today I will learn to solve algebraic problems involving multiple unknowns Level 6

Challenge Objective:

Solve algebraic problems involving multiple/ negative unknowns Level 6+

Key Words

Substitute, Unknown, Generate, Term, Inverse, Describe, Negative

•All will find the magic number

•Most will find the unknowns on a level 6 problem

•Some will find unknowns in the level 6+ problem

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