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!