Inequalities

The red type represents commentary of the lesson

Chris Hordern

Plan

- Homework

- Starter

- Modelling

- Group/Paired Work

- Independent Learning (rich tasks)

- Review and Reflection

Progression within the lesson

- Homework (grade C-B)

- Starter (E)

- Modelling

- Paired tasks (D-B, differentiated by outcome)

- Independent learning (E-A, differentiated by outcome)

- Review and Reflection

Homework

By the end of this lesson you will be able to solve questions of this type for homework:

Your homework is to…

Complete a set of questions in a text or do an online activity on Mymaths.co.uk by…

2372 xx

Starter

True or false?

Mini-whiteboards used by students, they decide if each inequality is either true or false.

The more able can be asked to explain why.

34 5.24

432

Modelling

Taking an example from the starter they should all understand.

34

Modelling

What other values of x make this inequality true?

Different students can be stretched by going beyond Integers.

What other numbers can be used?

Find 3 interesting numbers that make this true…

3x

Modelling

What about this one?

Can you see a method for ‘solving’ this inequality?

The concept is developed, as is the language.

31x

Modelling

What about this one?

Can you see a method for solving this inequality?

Questions using how and why can extend some students and to assess the level of understanding.

312 x

Modelling

What about this one?

Can you see a method for solving all inequalities?

How could you check your answer is correct?

5312 xx

Paired work

- Make an inequality for your partner (and solve theirs)

- Create 3 inequalities with the solution x>3. Check your partners’ is correct.

Teacher and any support staff circulate and help the students as required.

Independent learning (rich tasks)

A variety of rich tasks would then be used. These are problem solving tasks that differentiate by allowing the students to carry out an open ended task.

They are student (as opposed to teacher) led.

They link areas of maths together (number, shape, algebra, using and applying maths).

Task 1: Number

An abundant number is a number where all the

factors add up to more than the number itself…

Can you find any abundant numbers?

What do you notice about them?

Extension: Deficient and perfect numbers…

Task 2: Shape and space

Find rectangles with area less than, equal to andgreater than the perimeter…

…what do you notice?

Extension: try some other shapes?

Extension: Can you find all the cuboids with surface area = volume?

Task 3: Extension

Review and Reflection

- What have we been doing?

- Solve this inequality on your whiteboard…

A review of the learning using directed questioning to assess understanding. This will be linked back to the success criteria and empower them to complete the B grade homework!