# Solving problems with inequalities

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01-Nov-2014Category

## Education

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### Transcript of Solving problems with inequalities

- 1. Inequalities The red type represents commentary of the lesson Chris Hordern
- 2. Plan
- Homework

- Starter

- Modelling

- Group/Paired Work

- Independent Learning (rich tasks)

- Review and Reflection

- 3. 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

- 4. 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

- 5. 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.

- 6. Modelling
- Taking an example from the starter they should all understand.

- 7. 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

- 8. Modelling
- What about this one?

- Can you see a method for solving this inequality?

- The concept is developed, as is the language.

- 9. 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.

- 10. Modelling
- What about this one?

- Can you see a method for solving all inequalities?

- How could you check your answer is correct?

- 11. 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.

- 12. 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).

- 13. 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

- 14. Task 2: Shape and space
- Find rectangles with area less than, equal to and

- greater than the perimeter

- what do you notice?

- Extension: try some other shapes?

- Extension: Can you find all the cuboids with

- surface area = volume?

- 15. Task 3: Extension
- 16. 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!

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