lesson 3 solving problems using algebra
TRANSCRIPT
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Entry Activity – Level 4
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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
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•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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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
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• 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!
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• 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
![Page 11: Lesson 3 solving problems using algebra](https://reader034.vdocuments.site/reader034/viewer/2022052623/559a62e21a28ab0d698b4653/html5/thumbnails/11.jpg)
•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
![Page 12: Lesson 3 solving problems using algebra](https://reader034.vdocuments.site/reader034/viewer/2022052623/559a62e21a28ab0d698b4653/html5/thumbnails/12.jpg)
Level 6
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Level 6
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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
![Page 17: Lesson 3 solving problems using algebra](https://reader034.vdocuments.site/reader034/viewer/2022052623/559a62e21a28ab0d698b4653/html5/thumbnails/17.jpg)
•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
![Page 18: Lesson 3 solving problems using algebra](https://reader034.vdocuments.site/reader034/viewer/2022052623/559a62e21a28ab0d698b4653/html5/thumbnails/18.jpg)
Extension Activity – Level 6+
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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
![Page 22: Lesson 3 solving problems using algebra](https://reader034.vdocuments.site/reader034/viewer/2022052623/559a62e21a28ab0d698b4653/html5/thumbnails/22.jpg)
•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
![Page 23: Lesson 3 solving problems using algebra](https://reader034.vdocuments.site/reader034/viewer/2022052623/559a62e21a28ab0d698b4653/html5/thumbnails/23.jpg)
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