The document outlines an activity to teach students how to solve algebraic problems involving multiple unknown variables at different levels of difficulty. It includes: 1) An introduction explaining the learning objective of solving problems with multiple and negative unknowns at levels 6 and 6+. 2) Examples of algebraic word problems to solve for levels 6 and 6+. 3) Key terms defined to understand the problems. 4) Expectations that all students will solve simpler problems, while most and some will solve problems at levels 6 and 6+ respectively. 5) Answer sheets providing the solutions to the example problems.

1. Entry Activity – Level 4

2. Answers – Magic Squares – Level 4

3. Using your planners show me how you
found this
  

4. 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, Descri
be, Negative

5. •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

6. Have you heard of the Key Words
Key Words I know what it Heard it but not Never What it means is...
means, which is... sure what it means heard it
  before 
Substitute
Unknown
Term
Generate
Inverse
Negative

7. • 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!

8. • The yellow circles add
together to make the green
squares.
Success Criteria
Step 1) Write down what we know
A + B = 14
B + C = 11
A + C = 13.
Step 2) Choose 2 sums and put them together,
A + B + B + C = 14 + 11
Step 3) Simplify it
A + 2B + C = 25.
Step 4) Take out what you can
Take 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.

9. Using your planners show me how you
found this
  

10. 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

11. •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

12. Level 6

13. Level 6

14. 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

15. Using your planners show me how you
found this
  

16. 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

17. •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

18. Extension Activity – Level 6+

19. Answers – Extension Activity – Level 6+
• A = 1.5
• B = –2.5
• C = 3.5

20. Using your planners show me how you
found this
  

21. 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

22. •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

23. Plenary
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