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Entry Activity
•   Know addition and subtraction facts to 20


                          = 20                  = 18
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 Words
Solve, Linear, Term, Inverse, Add, Subtract,
                Multiply, Divide
•All will solve equations like
 4x = 12
•Most will solve equations
 like 6 – x = 4
•Some will solve equations
 like 2x – 5 = 15
What does inverse mean and why is it
       important in algebra?




                     Inverse
 Original                        New

            Symbol




                                           Symbol
operation                      operation
   Add
 Subtract
 Multiply
  Divide
What does inverse mean and why is it
       important in algebra?




                     Inverse
 Original                         New

            Symbol




                                        Symbol
operation                      operation
   Add      +                   Subtract -
 Subtract   -                     Add    +
 Multiply   x                    Divide  ÷
  Divide    ÷                   Multiply x
Level 4
Examples:
   4a = 12   6b = 18   2c = 14
Answers
a 5   g 2        m 3
b 6   h 5        n 7
c 3   i 2        o 8
d 2   j 5        p 6
e 4   k 9
f 6   l 8
Using your planners show me how you
              found this


    
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 Words
Solve, Linear, Term, Inverse, Add, Subtract,
                Multiply, Divide
•All will solve equations like
 4x = 12
•Most will solve equations
 like 6 – x = 4
•Some will solve equations
 like 2x – 5 = 15
Level 4
Example:
a+3=9      b–2=6     3–c=1
Answers
a 5   g 11       m 1
b 6   h 14       n 8
c 2   i 8        o 13
d 4   j 4        p 11
e 4   k 6
f 8   l 10
Using your planners show me how you
              found this


    
Today I will learn to:      Do:            Check:
Solve linear equations      Solve          All will solve
                            equations like equations
with one term Level 4       4x = 12
                                           like 4x = 12
                            Solve          Most will
Challenge Objective:        equations      solve
Solve linear equations      such as        equations
with more than one term     2x – 5 = 10    like 6 – x = 4
Level 5                                    Some will
                                           solve
                                           equations
             Key Words                     like
  Solve, Linear, Term, Inverse, Add,       2x – 5 = 15
      Subtract, Multiply, Divide
Level 4
Example:
a = 5      b=7       c=2
2          3         8
Answers
a 10   g 24       m 30
b 28   h 90       n 64
c 33   i 33       o 40
d 30   j 21       p 81
e 32   k 45
f 12   l 32
Using your planners show me how you
              found this


    
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 Words
Solve, Linear, Term, Inverse, Add, Subtract,
                Multiply, Divide
•All will solve equations like
 4x = 12
•Most will solve equations
 like 6 – x = 4
•Some will solve equations
 like 2x – 5 = 15
Solve linear equations with more than
           one term Level 5
           4a + 3 = 11
Solve linear equations with more than
              one term Level 5
                        4a + 3 = 11
Step 1 – cover up
the term with the
letter attached to it   4a + 3 = 11
Solve linear equations with more than
              one term Level 5
                        4a + 3 = 11
Step 1 – cover up                     Step 2 – what must
the term with the
letter attached to it   4a + 3 = 11   the blue box (4a)
                                      be?
Solve linear equations with more than
              one term Level 5
                         4a + 3 = 11
Step 1 – cover up                      Step 2 – what must
the term with the
letter attached to it    4a + 3 = 11   the blue box (4a)
                                       be?


                           4a = 8
     Step 3 – write down what
     the blue box (4a) equals
Solve linear equations with more than
              one term Level 5
                         4a + 3 = 11
Step 1 – cover up                          Step 2 – what must
the term with the
letter attached to it    4a + 3 = 11       the blue box (4a)
                                           be?


                           4a = 8
     Step 3 – write down what
     the blue box (4a) equals
                                  Step 4 – solve the last
                                  step, like you did earlier


                            a=4
     Well done you have solved a level 5 question
Extension Task – Level 5
Answers
a 4   g 3        m 3
b 2   h 7        n 8
c 6   i 4        o 5
d 7   j 1        p 8
e 5   k 8
f 9   l 5
Using your planners show me how you
              found this


    
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 Words
Solve, Linear, Term, Inverse, Add, Subtract,
                Multiply, Divide
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
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
Plenary
 Pick a box from below to copy and
       complete in your book
    Today the most              One thing I need to
 important thing I have       remember from today's
      learned is...                 lesson is...


  Next time I do a this       One thing I have found
topic I will make sure I...      hard today is...

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Lesson 5 solving linear equations

  • 1. Entry Activity • Know addition and subtraction facts to 20 = 20 = 18
  • 2. 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 Words Solve, Linear, Term, Inverse, Add, Subtract, Multiply, Divide
  • 3. •All will solve equations like 4x = 12 •Most will solve equations like 6 – x = 4 •Some will solve equations like 2x – 5 = 15
  • 4. What does inverse mean and why is it important in algebra? Inverse Original New Symbol Symbol operation operation Add Subtract Multiply Divide
  • 5. What does inverse mean and why is it important in algebra? Inverse Original New Symbol Symbol operation operation Add + Subtract - Subtract - Add + Multiply x Divide ÷ Divide ÷ Multiply x
  • 6. Level 4 Examples: 4a = 12 6b = 18 2c = 14
  • 7. Answers a 5 g 2 m 3 b 6 h 5 n 7 c 3 i 2 o 8 d 2 j 5 p 6 e 4 k 9 f 6 l 8
  • 8. Using your planners show me how you found this   
  • 9. 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 Words Solve, Linear, Term, Inverse, Add, Subtract, Multiply, Divide
  • 10. •All will solve equations like 4x = 12 •Most will solve equations like 6 – x = 4 •Some will solve equations like 2x – 5 = 15
  • 11. Level 4 Example: a+3=9 b–2=6 3–c=1
  • 12. Answers a 5 g 11 m 1 b 6 h 14 n 8 c 2 i 8 o 13 d 4 j 4 p 11 e 4 k 6 f 8 l 10
  • 13. Using your planners show me how you found this   
  • 14. Today I will learn to: Do: Check: Solve linear equations Solve All will solve equations like equations with one term Level 4 4x = 12 like 4x = 12 Solve Most will Challenge Objective: equations solve Solve linear equations such as equations with more than one term 2x – 5 = 10 like 6 – x = 4 Level 5 Some will solve equations Key Words like Solve, Linear, Term, Inverse, Add, 2x – 5 = 15 Subtract, Multiply, Divide
  • 15. Level 4 Example: a = 5 b=7 c=2 2 3 8
  • 16. Answers a 10 g 24 m 30 b 28 h 90 n 64 c 33 i 33 o 40 d 30 j 21 p 81 e 32 k 45 f 12 l 32
  • 17. Using your planners show me how you found this   
  • 18. 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 Words Solve, Linear, Term, Inverse, Add, Subtract, Multiply, Divide
  • 19. •All will solve equations like 4x = 12 •Most will solve equations like 6 – x = 4 •Some will solve equations like 2x – 5 = 15
  • 20. Solve linear equations with more than one term Level 5 4a + 3 = 11
  • 21. Solve linear equations with more than one term Level 5 4a + 3 = 11 Step 1 – cover up the term with the letter attached to it 4a + 3 = 11
  • 22. Solve linear equations with more than one term Level 5 4a + 3 = 11 Step 1 – cover up Step 2 – what must the term with the letter attached to it 4a + 3 = 11 the blue box (4a) be?
  • 23. Solve linear equations with more than one term Level 5 4a + 3 = 11 Step 1 – cover up Step 2 – what must the term with the letter attached to it 4a + 3 = 11 the blue box (4a) be? 4a = 8 Step 3 – write down what the blue box (4a) equals
  • 24. Solve linear equations with more than one term Level 5 4a + 3 = 11 Step 1 – cover up Step 2 – what must the term with the letter attached to it 4a + 3 = 11 the blue box (4a) be? 4a = 8 Step 3 – write down what the blue box (4a) equals Step 4 – solve the last step, like you did earlier a=4 Well done you have solved a level 5 question
  • 26. Answers a 4 g 3 m 3 b 2 h 7 n 8 c 6 i 4 o 5 d 7 j 1 p 8 e 5 k 8 f 9 l 5
  • 27. Using your planners show me how you found this   
  • 28. 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 Words Solve, Linear, Term, Inverse, Add, Subtract, Multiply, Divide
  • 29. 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
  • 30. 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
  • 31. Plenary Pick a box from below to copy and complete in your book Today the most One thing I need to important thing I have remember from today's learned is... lesson is... Next time I do a this One thing I have found topic I will make sure I... hard today is...

Editor's Notes

  1. Get the students to fill in the boxes to make sure the criteria from each box is met. Talk about the answers and why they may have different answers and that the different answers may be correct.
  2. Ideally this slide could be printed out and students can stick in their books and fill in the new operation column. Discuss as a class and make sure the students know the mathematical symbols that go with the words
  3. Answers
  4. As a class have a discussion as to what you think each of the letters in the examples equal. This is a great activity to do with mini white-boards. Once the class are confident with what they are doing get them to complete Q1.
  5. Get the students to self or peer assess. They need to mark each question individually and then once marked they need to write the level that they are working at as well as drawing a face to show how they found the activity.
  6. To check progress of the class, mark the task completed and then ask the students to rate how they found the activity, Green = confident, Yellow = OK, Red = Unconfident/don’t get it. Ask the students to draw the corresponding face next to their work so when marking you can see how the students found the task.
  7. As a class have a discussion as to what you think each of the letters in the examples equal. This is a great activity to do with mini white-boards. Once the class are confident with what they are doing get them to complete Q2.
  8. Get the students to self or peer assess. They need to mark each question individually and then once marked they need to write the level that they are working at as well as drawing a face to show how they found the activity.
  9. To check progress of the class, mark the task completed and then ask the students to rate how they found the activity, Green = confident, Yellow = OK, Red = Unconfident/don’t get it. Ask the students to draw the corresponding face next to their work so when marking you can see how the students found the task.
  10. Share objectives with the students
  11. As a class have a discussion as to what you think each of the letters in the examples equal. This is a great activity to do with mini white-boards. Once the class are confident with what they are doing get them to complete Q3.
  12. Get the students to self or peer assess. They need to mark each question individually and then once marked they need to write the level that they are working at as well as drawing a face to show how they found the activity.
  13. To check progress of the class, mark the task completed and then ask the students to rate how they found the activity, Green = confident, Yellow = OK, Red = Unconfident/don’t get it. Ask the students to draw the corresponding face next to their work so when marking you can see how the students found the task.
  14. I have used the cover up method here to show how to solve the equations, feel free to use the elimination method if you prefer.
  15. I have used the cover up method here to show how to solve the equations, feel free to use the elimination method if you prefer.
  16. I have used the cover up method here to show how to solve the equations, feel free to use the elimination method if you prefer.
  17. I have used the cover up method here to show how to solve the equations, feel free to use the elimination method if you prefer.
  18. I have used the cover up method here to show how to solve the equations, feel free to use the elimination method if you prefer.
  19. This is a level 5 extension activity and it is important that students are happy with solving one terms before they move onto these questions.
  20. Get the students to self or peer assess. They need to mark each question individually and then once marked they need to write the level that they are working at as well as drawing a face to show how they found the activity.
  21. To check progress of the class, mark the task completed and then ask the students to rate how they found the activity, Green = confident, Yellow = OK, Red = Unconfident/don’t get it. Ask the students to draw the corresponding face next to their work so when marking you can see how the students found the task.
  22. Get the students to answer all as many of the questions as they can, to show you what they have learned. Ideally to be done on whiteboards, but could be done in their books and then hands up to show which they have got correct
  23. Answers for if students have done the questions in their books.
  24. Students choose 1 box to put in their book and complete. Get the class to share what they have written.