1. All pupils can solve inequalities algebraically and graphically
Further Algebra Recap
L.O.
All pupils can rearrange a variety of algebraic expressions and equations
All pupils can solve inequalities algebraically and graphically
All pupils can rearrange to solve simultaneous equations (by substitution)

2. Pre Starter: Key Words Equation Solve Variable Simultaneous Substitute
Linear

3. Revision Tarsia Activity
Starter:
rearrange a variety of algebraic expressions and equations
Revision Tarsia Activity

4. All pupils can solve inequalities algebraically and graphically
Further Algebra Recap
L.O.
All pupils can rearrange a variety of algebraic expressions and equations
All pupils can solve inequalities algebraically and graphically
All pupils can rearrange to solve simultaneous equations (by substitution)

5. Main 1: What is an inequality? 2 mins: spider diagram
inequalities algebraically and graphically
What is an inequality?
2 mins:
spider diagram

6. Main 1:
inequalities algebraically and graphically
What are the possible values of x if x>14 and x is an integer?
What are the possible values of x if x>14?
How does the solution change if x≥14?

7. Main 1: What are the possible values of x if x>14?
inequalities algebraically and graphically
What are the possible values of x if x>14?
How could we show this on a number line?

8. Main 1: How does the solution change if x≥14?
inequalities algebraically and graphically
How does the solution change if x≥14?
How could we show this on a number line?

9. Main 1:
inequalities algebraically and graphically
Ext.

10. How does the fact x>1 relate to the fact –x<-1?
Mini Discussion:
show inequalities on a number line
How does the fact x>1 relate to the fact –x<-1?

11. Main 1: 2 mins: How could you show 3x + 7 ≤ 28 on a number line?
inequalities algebraically and graphically
2 mins:
How could you show
3x + 7 ≤ 28
on a number line?

12. Main 1: 3x + 7 ≤ 28 3x ≤ 21 x ≤ 7 Minus 7 from each side
inequalities algebraically and graphically
3x + 7 ≤ 28
Minus 7 from each side
3x ≤ 21
Divide by 3 on each side
x ≤ 7

13. Main 1:
inequalities algebraically and graphically
x ≤ 7

14. Main 1:
inequalities algebraically and graphically
So they are solved just like equations and then drawn on a number line.
Answer each of the questions below, your working must be shown and your solutions should be shown on a number line.

15. Main 1: Write some questions fitting the description:
inequalities algebraically and graphically
Write some questions fitting the description:
Find the set of solutions by showing graphically on a Cartesian plane these linear inequalities with one variable.

16. Main 1: What are these graphs displaying?
inequalities algebraically and graphically
What are these graphs displaying?
Ext. Write a question with the graph as the solution for each of the graphs

17. Main 1:
inequalities algebraically and graphically
What are the two variables usually associated with the Cartesian plane?
What is the usual general form of an equation of a line with two variables?

18. Main 1:
inequalities algebraically and graphically
Write this inequality so it looks like the general form of a linear equation.
3x – y > 12

19. Main 1: How could you plot it? 3x – 12 > y OR y < 3x - 12
inequalities algebraically and graphically
How could you plot it?
3x – 12 > y OR y < 3x - 12

20. Main 1: y < 3x - 12 inequalities algebraically and graphically x -22 4 y
-18
-12 -6

21. Main 1: y < 3x - 12 inequalities algebraically and graphically x -22 4 y
-18
-12 -6

22. Main 1: y < 3x - 12 inequalities algebraically and graphically x -22 4 y
-18
-12 -6

23. Shade each of the described regions on the board
Main 1:
inequalities algebraically and graphically
Shade each of the described regions on the board

24. All pupils can solve inequalities algebraically and graphically
Further Algebra Recap
L.O.
All pupils can rearrange a variety of algebraic expressions and equations
All pupils can solve inequalities algebraically and graphically
All pupils can rearrange to solve simultaneous equations (by substitution)

25. Main 2:
simultaneous equations

26. Main 2:
simultaneous equations

27. Clue: Plot x=3y+1 and y= 𝒙 𝟐 -2 Clue: When does (x-1)/3= 𝒙 𝟐 -2?
Main 2:
simultaneous equations
By drawing the graphs, find the point where x=3y+1 and y= 𝒙 𝟐 -2 intersect.
Clue: Plot x=3y+1 and y= 𝒙 𝟐 -2
Clue: When does (x-1)/3= 𝒙 𝟐 -2?

28. Main 2: Steps to find solutions to simultaneous equations graphically:
1. Draw/complete the table of values
2. Plot the graphs
3. Find the point of intersection
4. At the point of intersection, y=… and x=…

29. Main 2:
simultaneous equations

30. Main 2: Find the point where x=3y+1 and y= 𝒙 𝟐 -2 intersect.
simultaneous equations
Find the point where x=3y+1 and y= 𝒙 𝟐 -2 intersect.
Number the equations 1 and 2
Choose an equation to make y the subject of the formula
Substitute into the other equation
Rearrange to find x
Substitute x into an original equation
Rearrange to find y

31. Solve graphically and then check algebraically:
Main 2:
simultaneous equations
Solve graphically and then check algebraically:

32. Main 2:
simultaneous equations

33. All pupils can solve inequalities algebraically and graphically
Further Algebra Recap
L.O.
All pupils can rearrange a variety of algebraic expressions and equations
All pupils can solve inequalities algebraically and graphically
All pupils can rearrange to solve simultaneous equations (by substitution)

34. Plenary:

35. All pupils can solve inequalities algebraically and graphically
Further Algebra Recap
L.O.
All pupils can rearrange a variety of algebraic expressions and equations
All pupils can solve inequalities algebraically and graphically
All pupils can rearrange to solve simultaneous equations (by substitution)
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