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Entry Activity


          1
          3
     2        4
     6        8
5         7          9
Using your planners show me how you
              found this


    
Today I will learn to substitute
  into formulas Level 5
 Challenge Objective:
Substitute into formulas
  involving squares and square
  roots Level 6
                    Key Words
 Equation, Generate, Substitute, Unknown, Inverse,
            Square, Square Root, Fraction
•All will find substitute into
 a formula
•Most will find use
 substitution to solve
 problems
•Some will substitute into
 formulas involving ² or √
Have you heard the key words
Key Word      Never heard    Heard it,   It means...
             it before       but I can’t
                             remember the
                             meaning
Substitute
Square
Inverse
Square
Root
Generate
Unknown
Equation
Fraction
Speed thinking
• When I have explained how to do this you have a
  set time to do each bit.

• When I say start, in silence, write down as many
  formulas as you can that you have come across in
  Maths or every day life.

e.g. The formula for area of a rectangle is base x
  height
or A = b x h
or A = bh
Go



Remember in SILENCE
You have 1 ½ minutes



Now see how many you
   can get in a pair
Which pair has got the most?
Using your planners show me how you
              found this


    
Today I will learn to substitute
  into formulas Level 5
 Challenge Objective:
Substitute into formulas
  involving squares and square
  roots Level 6
                    Key Words
 Equation, Generate, Substitute, Unknown, Inverse,
            Square, Square Root, Fraction
•All will find substitute into
 a formula
•Most will find use
 substitution to solve
 problems
•Some will substitute into
 formulas involving ² or √
Peer Assessment

   On your partners work, mark the
    work they have done and write:
• 1 thing that they have done well
• 1 thing they need to do to
  improve
    Get ready we will be sharing!
Answers – Level 5
1   a 9 b 43
2   a 26 cm b 62 cm
3   a 55 mph b 45 mph
4   a 32 m/s b 58 m/s
5   a 92 m/s b 75 m/s
6   a 113 °F b 104 °F c 149 °F d 212 °F
Using your planners show me how you
              found this


    
Today I will learn to substitute
  into formulas Level 5
 Challenge Objective:
Substitute into formulas
  involving squares and square
  roots Level 6
                    Key Words
 Equation, Generate, Substitute, Unknown, Inverse,
            Square, Square Root, Fraction
•All will find substitute into
 a formula
•Most will find use
 substitution to solve
 problems
•Some will substitute into
 formulas involving ² or √
Extension Activity – Level 6
Answers – Extension Level 6
1 313.6 m

2 37.4 km
Using your planners show me how you
              found this


    
Today I will learn to substitute
  into formulas Level 5
 Challenge Objective:
Substitute into formulas
  involving squares and square
  roots Level 6
                    Key Words
 Equation, Generate, Substitute, Unknown, Inverse,
            Square, Square Root, Fraction
•All will find substitute into
 a formula
•Most will find use
 substitution to solve
 problems
•Some will substitute into
 formulas involving ² or √
Plenary
 One thing I      One thing I
                   need to
have learned    remember for
 today is...    next time is...




               

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Lesson 2 substitution

  • 1. Entry Activity 1 3 2 4 6 8 5 7 9
  • 2. Using your planners show me how you found this   
  • 3. Today I will learn to substitute into formulas Level 5 Challenge Objective: Substitute into formulas involving squares and square roots Level 6 Key Words Equation, Generate, Substitute, Unknown, Inverse, Square, Square Root, Fraction
  • 4. •All will find substitute into a formula •Most will find use substitution to solve problems •Some will substitute into formulas involving ² or √
  • 5. Have you heard the key words Key Word  Never heard  Heard it,  It means... it before but I can’t remember the meaning Substitute Square Inverse Square Root Generate Unknown Equation Fraction
  • 6. Speed thinking • When I have explained how to do this you have a set time to do each bit. • When I say start, in silence, write down as many formulas as you can that you have come across in Maths or every day life. e.g. The formula for area of a rectangle is base x height or A = b x h or A = bh
  • 8. You have 1 ½ minutes Now see how many you can get in a pair
  • 9. Which pair has got the most?
  • 10.
  • 11. Using your planners show me how you found this   
  • 12. Today I will learn to substitute into formulas Level 5 Challenge Objective: Substitute into formulas involving squares and square roots Level 6 Key Words Equation, Generate, Substitute, Unknown, Inverse, Square, Square Root, Fraction
  • 13. •All will find substitute into a formula •Most will find use substitution to solve problems •Some will substitute into formulas involving ² or √
  • 14.
  • 15.
  • 16. Peer Assessment On your partners work, mark the work they have done and write: • 1 thing that they have done well • 1 thing they need to do to improve Get ready we will be sharing!
  • 17. Answers – Level 5 1 a 9 b 43 2 a 26 cm b 62 cm 3 a 55 mph b 45 mph 4 a 32 m/s b 58 m/s 5 a 92 m/s b 75 m/s 6 a 113 °F b 104 °F c 149 °F d 212 °F
  • 18. Using your planners show me how you found this   
  • 19. Today I will learn to substitute into formulas Level 5 Challenge Objective: Substitute into formulas involving squares and square roots Level 6 Key Words Equation, Generate, Substitute, Unknown, Inverse, Square, Square Root, Fraction
  • 20. •All will find substitute into a formula •Most will find use substitution to solve problems •Some will substitute into formulas involving ² or √
  • 22. Answers – Extension Level 6 1 313.6 m 2 37.4 km
  • 23. Using your planners show me how you found this   
  • 24. Today I will learn to substitute into formulas Level 5 Challenge Objective: Substitute into formulas involving squares and square roots Level 6 Key Words Equation, Generate, Substitute, Unknown, Inverse, Square, Square Root, Fraction
  • 25. •All will find substitute into a formula •Most will find use substitution to solve problems •Some will substitute into formulas involving ² or √
  • 26. Plenary One thing I One thing I need to have learned remember for today is... next time is... 

Editor's Notes

  1. Ask three members of the class for a number between 1 and 9. Write these numbers on the board. The students have got to make their way from the bottom of the triangle to the top, where sides touch, not edges (using the numbers you have selected and any Mathematical symbols). E.g. Numbers are 2, 3, 5 so 2 x 5 – 3 = 7, so the students then need to make 6 or 8 and then if they make 6, they have to make 2 and then 3 and then 1 to get to the top of the triangle.
  2. 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.
  3. This is a great entry activity to help get students used to the key words of the lesson, it will give them a focus on the mathematical terminology. Ask the students to complete the grid, if they are  they must write down the meaning of the word, if they are  or  they tick the appropriate box on the sheet. Make sure you get students to feedback to the class the meanings of the key words (this will aid the use of these words during the lesson).
  4. Explain that you are having a competition to see which working pair can come up with the most formulas. Ensure the students know who they are working with. They have 1 minute to get as many ideas of their own down in their books. Then they have 1 ½ mins to get as many down as they can in pairs (so total thinking time 2 ½ mins).Once this is complete, share the formulas as a class and write some down on the board. Choose a formula and get the students to substitute into it some values that you have given them (great activity for using mini white boards to check understanding).
  5. Explain that you are having a competition to see which working pair can come up with the most formulas. Ensure the students know who they are working with. They have 1 minute to get as many ideas of their own down in their books. Then they have 1 ½ mins to get as many down as they can in pairs (so total thinking time 2 ½ mins).Once this is complete, share the formulas as a class and write some down on the board. Choose a formula and get the students to substitute into it some values that you have given them (great activity for using mini white boards to check understanding).
  6. Explain that you are having a competition to see which working pair can come up with the most formulas. Ensure the students know who they are working with. They have 1 minute to get as many ideas of their own down in their books. Then they have 1 ½ mins to get as many down as they can in pairs (so total thinking time 2 ½ mins).Once this is complete, share the formulas as a class and write some down on the board. Choose a formula and get the students to substitute into it some values that you have given them (great activity for using mini white boards to check understanding).
  7. As different pairs to read out the formulas, write some good ones down on the board. These would be ideal to use as examples of how to substitute into a formula.Explain that you are having a competition to see which working pair can come up with the most formulas. Ensure the students know who they are working with. They have 1 minute to get as many ideas of their own down in their books. Then they have 1 ½ mins to get as many down as they can in pairs (so total thinking time 2 ½ mins).Once this is complete, share the formulas as a class and write some down on the board. Choose a formula and get the students to substitute into it some values that you have given them (great activity for using mini white boards to check understanding).
  8. Use this slide if you are not happy with any of the formulas your class has come up with, it is much more powerful to get the students to come up with the formulas rather than doing an example like above.
  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. Now get the groups to swap work back. Each group to read out to the class what they have done well and what they need to do to improve.
  11. 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.
  12. 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.
  13. Get the students to draw two big bubbles in their book and copy and complete the statements. Get them to share what they have written with the class.