Inequalities L.O. All pupils understand possible values of inequalities All pupils can show inequalities on a number line Some pupils can manipulate inequalities.

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Presentation transcript:

Inequalities L.O. All pupils understand possible values of inequalities All pupils can show inequalities on a number line Some pupils can manipulate inequalities to show their values on a number line

Starter: possible values of inequalities 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?

Inequalities L.O. All pupils understand possible values of inequalities All pupils can show inequalities on a number line Some pupils can manipulate inequalities to show their values on a number line

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

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

show inequalities on a number line Main 1: show inequalities on a number line Ext.

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?

Inequalities L.O. All pupils understand possible values of inequalities All pupils can show inequalities on a number line Some pupils can manipulate inequalities to show their values on a number line

manipulate inequalities to show their values on a number line Main 2: manipulate inequalities to show their values on a number line 2 mins: How could you show 3x + 7 ≤ 28 on a number line?

manipulate inequalities to show their values on a number line Main 2: manipulate inequalities to show their values on a number line 3x + 7 ≤ 28 Minus 7 from each side 3x ≤ 21 Divide by 3 on each side x ≤ 7

manipulate inequalities to show their values on a number line Main 2: manipulate inequalities to show their values on a number line x ≤ 7

manipulate inequalities to show their values on a number line Main 2: manipulate inequalities to show their values on a number line 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.

manipulate inequalities to show their values on a number line Main 2: manipulate inequalities to show their values on a number line

manipulate inequalities to show their values on a number line Main 2: manipulate inequalities to show their values on a number line

Did anyone solve these questions using different methods to others? Main 2: manipulate inequalities to show their values on a number line Did anyone solve these questions using different methods to others?

Inequalities L.O. All pupils understand possible values of inequalities All pupils can show inequalities on a number line Some pupils can manipulate inequalities to show their values on a number line

Plenary: Why might it be useful to show inequalities on number lines? What might this lead to next lesson?

WWW? EBI? Inequalities L.O. All pupils understand possible values of inequalities All pupils can show inequalities on a number line Some pupils can manipulate inequalities to show their values on a number line WWW? EBI?