Lesson 5 solving linear equations
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Transcript of Lesson 5 solving linear equations
![Page 1: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/1.jpg)
Entry Activity• Know addition and subtraction facts to 20
= 20 = 18
You decide
Must be 2 less than box below
Must be the same number as blue box
A number more than 10
A number less than 10
![Page 2: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/2.jpg)
Today I will learn to solve linear equations with one term Level 4
Challenge Objective:Solve linear equations with more than
one term Level 5
Key WordsSolve, Linear, Term, Inverse, Add, Subtract, Multiply,
Divide
![Page 3: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/3.jpg)
•All will solve equations like 4x = 12•Most will solve equations like 6 – x = 4•Some will solve equations like 2x – 5 = 15
![Page 4: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/4.jpg)
What does inverse mean and why is it important in algebra?
Original operation
Symbol
Inverse
New operation
Sym
bol
AddSubtractMultiplyDivide
![Page 5: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/5.jpg)
What does inverse mean and why is it important in algebra?
Original operation
Symbol
Inverse
New operation
Sym
bol
Add + Subtract -Subtract - Add +Multiply x Divide ÷Divide ÷ Multiply x
![Page 6: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/6.jpg)
Level 4Examples:
4a = 12 6b = 18 2c = 14
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Answers
a 5 b 6 c 3 d 2 e 4 f 6
g 2 h 5 i 2 j 5 k 9 l 8
m 3 n 7 o 8 p 6
![Page 8: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/8.jpg)
Using your planners show me how you found this
![Page 9: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/9.jpg)
Today I will learn to solve linear equations with one term Level 4
Challenge Objective:Solve linear equations with more than
one term Level 5
Key WordsSolve, Linear, Term, Inverse, Add, Subtract, Multiply,
Divide
![Page 10: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/10.jpg)
•All will solve equations like 4x = 12•Most will solve equations like 6 – x = 4•Some will solve equations like 2x – 5 = 15
![Page 11: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/11.jpg)
Level 4Example:
a + 3 = 9 b – 2 = 6 3 – c = 1
![Page 12: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/12.jpg)
Answers
a 5b 6 c 2 d 4 e 4 f 8
g 11 h 14 i 8 j 4 k 6 l 10
m 1 n 8 o 13 p 11
![Page 13: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/13.jpg)
Using your planners show me how you found this
![Page 14: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/14.jpg)
Today I will learn to: Do: Check:
Solve linear equations with one term Level 4
Solve equations like 4x = 12
All will solve equations like 4x = 12Most will solve equations like 6 – x = 4Some will solve equations like 2x – 5 = 15
Challenge Objective:Solve linear equations with more than one term Level 5
Solve equations such as 2x – 5 = 10
Key WordsSolve, Linear, Term, Inverse, Add,
Subtract, Multiply, Divide
![Page 15: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/15.jpg)
Level 4Example:
a = 5 b = 7 c = 22 3 8
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Answers
a 10 b 28 c 33 d 30 e 32 f 12
g 24 h 90 i 33 j 21 k 45 l 32
m 30 n 64 o 40 p 81
![Page 17: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/17.jpg)
Using your planners show me how you found this
![Page 18: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/18.jpg)
Today I will learn to solve linear equations with one term Level 4
Challenge Objective:Solve linear equations with more than
one term Level 5
Key WordsSolve, Linear, Term, Inverse, Add, Subtract, Multiply,
Divide
![Page 19: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/19.jpg)
•All will solve equations like 4x = 12•Most will solve equations like 6 – x = 4•Some will solve equations like 2x – 5 = 15
![Page 20: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/20.jpg)
Solve linear equations with more than one term Level 5
4a + 3 = 11
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Solve linear equations with more than one term Level 5
4a + 3 = 114a + 3 = 11
Step 1 – cover up the term with the letter attached to it
![Page 22: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/22.jpg)
Solve linear equations with more than one term Level 5
4a + 3 = 114a + 3 = 11
Step 1 – cover up the term with the letter attached to it
Step 2 – what must the blue box (4a) be?
![Page 23: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/23.jpg)
Solve linear equations with more than one term Level 5
4a + 3 = 114a + 3 = 11
4a = 8
Step 1 – cover up the term with the letter attached to it
Step 2 – what must the blue box (4a) be?
Step 3 – write down what the blue box (4a) equals
![Page 24: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/24.jpg)
Solve linear equations with more than one term Level 5
4a + 3 = 114a + 3 = 11
4a = 8a = 4
Step 1 – cover up the term with the letter attached to it
Step 2 – what must the blue box (4a) be?
Step 3 – write down what the blue box (4a) equals
Step 4 – solve the last step, like you did earlier
Well done you have solved a level 5 question
![Page 25: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/25.jpg)
Extension Task – Level 5
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Answers
a 4 b 2 c 6 d 7 e 5 f 9
g 3 h 7 i 4 j 1 k 8 l 5
m 3 n 8 o 5 p 8
![Page 27: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/27.jpg)
Using your planners show me how you found this
![Page 28: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/28.jpg)
Today I will learn to solve linear equations with one term Level 4
Challenge Objective:Solve linear equations with more than
one term Level 5
Key WordsSolve, Linear, Term, Inverse, Add, Subtract, Multiply,
Divide
![Page 29: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/29.jpg)
Show me what you have learned today
Level 4• All will solve equations like 4x = 12• Most will solve equations like 6 – x = 4
Level 5• Some will solve equations like 2x – 5 = 15
![Page 30: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/30.jpg)
Show me what you have learned today
Level 4• All 4x = 12 Answer x = 3• Most 6 – x = 4 Answer x = 2
Level 5• Some 2x – 5 = 15 Answer x = 5
![Page 31: Lesson 5 solving linear equations](https://reader035.fdocuments.in/reader035/viewer/2022062708/55895e3ad8b42a4f3f8b472c/html5/thumbnails/31.jpg)
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complete in your book
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