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# Algebraic manipulation app

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• ### Algebraic manipulation app

1. 1. Lesson Plan - APP AlgebraObjectivesTo pupils to self assess their understanding of Algebra. For teacher to carry out an APPassessment using probing questions.Keywords; Expression, Term, Simplify, Substitute, ValueMental and Oral StarterPupils to complete a ‘Heard the Word’ grid and compare it to grid they completed at the start ofthe unit.MainShow the pupils the assessment criteria (slide 5) and ask them to reflect on what they have doneover the last few lessons. This will give pupils an idea about which challenge they should try tocomplete. Ask pupils to select an appropriate challenge. Explain that if they find their chosenchallenge either too hard or too easy they should swap for a different challenge. Ensure thatpupils are aware that they only have this lesson to complete their chosen challenge so they muststay on task and work to the best of their ability to be able to accurately assess themselves.Remind pupils that they should not ask each other for help but they can look back in their book.PlenaryTell pupils that they must complete the ‘I am working at’ box by explaining in their own words themaths they did today. Explain to pupils that you will be marking their work and completing the ‘myteacher’s’ boxes. Remind students that next lesson for the starter activity they must come in andlook for the question you have set and respond either by answering it or by explaining why thequestion is too hard for them to answer.
2. 2. Probing QuestionsLevel 4Use letter symbols to represent unknowns and What are the important steps when substituting valuesvariables. into this expression/formula?Understand that letter symbols used in algebra What would you do first? Why?stand for unknown numbers or variables and How would you continue to find the answer?not labels, e.g. ‘5a’ cannot mean ‘5 apples’.Level 5 Can you write an expression that would simplify to, e.g.: 6m – 3n, 8(3x + 6)?Understand the difference between Are there others? expressions such as: Can you give me an expression that is equivalent to,2n and n +2 e.g.3(c + 5) and 3c + 5 4p + 3q - 2?n² and 2n Are there others?2n² and (2n)² What do you look for when you have an expression to simplify? What are the important stages? When you substitute a = 2 and b = 7 into the formula t = ab + 2a you get 18. Can you make up some more formulae that also give t = 18 when a = 2 and b = 7 are substituted?Level 6 How do you go about constructing equations fromConstruct linear equations. information given in a problem? How do you check whether the equation works?
3. 3. LO To assess your understanding of Algebra RAGKey Words: Expression, Term, Substitute, Value 18 Jul 2012 Starter Activity Complete the ‘Heard the Word Grid’ and compare it to the one you completed at the start of the module. Are there any key words that you have learnt or have a better understanding of than you did before?
4. 4. Key Words Never Heard of but Know what it means and can explain it in context heard not sure what Jot down your ideas here... before? it means?ExpressionTermSimplifySubstituteValue
5. 5. Level 3
6. 6. Level 4Simplify this expression and then write another 4 expressions equivalent to the expression above.Substitute the value a = 2, b = 5 and c = 4 to work out the value of the expression.
7. 7. Level 5If a = 3, find the value ofWhat are the important steps inthis calculation?What would you do first? Why?How would you continue to findthe answer?
8. 8. Level 5Give an expression that isequivalent toAre there others?
9. 9. Level 5Identify and correct the errors
10. 10. Level 5Explain the difference between
11. 11. Level 6If a = - 3, find the value ofWhat are the important steps inthis calculation?What would you do first? Why?How would you continue to findthe answer?
12. 12. Level 6The length of a rectangle is three times itswidth. Its perimeter is 24 cm. Find its area.How do you go about constructing anequation from the information given in thisproblem?How do you check whether it works?
13. 13. level Algebra I am working at level ....... I6 I can set up and solve linear equations. can .................................................... ........................................................... ...........................................................5 I can identify equivalent ........................................................... expressions. I can explain the difference ........................................................... between expressions. ....... I can substitute values into I needed help to ................................. expressions. I understand the meaning of ............................................................ brackets in expressions. ............................................................4 I can find equivalent expressions. I can simplify expressions with ............................................................ positive terms. I can substitute positive values into To be a better learner I simple expressions. could ..................................................3 I can work out the missing number in a box. ............................................................ ............................................................
14. 14. My teachers comment ...... My answer is ......My teachers question is ......