y7 –Algebraic Expressions

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y7 –Algebraic Expressions 9 7-8 5-6 3-4 1-2 y7 –Algebraic Expressions a) I understand the role of the = sign and I can work out the missing number in a box. b) I can use simple formula expressed in words. c) I can simplify expressions. d) I can find equivalent expressions. e) I can substitute positive values into simple expressions. f) I can substitute positive and negative values into expressions. g) I understand the meaning of brackets in expressions and I can multiply a single term over a bracket. h) I can expand and factorise linear expressions. i) I can expand and factorise quadratic expressions. These slides are printed as an A5 booklet.

Expression Term Simplify Substitute Equivalent Factorise Expand Key Words / symbols Never heard before? Heard of but not sure what it means? Know what it means and can explain it in context Jot down your ideas here... Expression Term Simplify Substitute Equivalent Factorise Expand

Write in the boxes what the missing numbers could be. I understand the role of the = sign and I can work out the missing number in a box. Fluency Write in the boxes what the missing numbers could be. Problem Solving Reasoning True or false, you must explain your answer 20 + 4 = 16 + 8 Example Complete the number pyramids opposite in two different ways by adding the two blocks beneath to make the number in the block above.

I can use simple formula expressed in words. I can simplify expressions. I can find equivalent expressions. Fluency a + a + b + b + a + b + c + c + c + b Simplify this expression. Write down three expressions that mean the same as (are equivalent to ) 4p + 10 1. 2. 3 Problem Solving The amount of fuel (in litres) a race car needs is given by Amount of fuel = number of laps left x 2 + 1 How many litres are needed if there are 3 laps left? Reasoning True or false, you must explain your answer 4a + 3 = a + 3a + 2 + 1

I can substitute positive and negative values into simple expressions. I understand the meaning of brackets in expressions and I can multiply a single term over a bracket. Fluency If a = 3 find the value of 2 + 5a If a = -5 find the value of 3a + 6 Problem Solving Which of the expressions below if equivalent to 3 (4a + 6) ? How do you know? 7a + 9 12a + 6 12a + 9 12a + 18 Reasoning Explain the difference between 2n + 2 and 2(n + 2)

I can expand and factorise linear expressions. Fluency Expand and simplify 6(3a + 2) + 5(4a – 4) Factorise 25a + 20 Problem Solving Identify and correct the mistakes 4(b + 2 ) = 4b + 2 3(p – 4 ) = 3p - 7 Reasoning Write two different expressions for the area of this rectangle. 2a + 4 3

I can expand and factorise quadratic expressions. Fluency Multiply out these brackets and simplify the result: (x + 5)(x + 2) Problem Solving Identify and correct the mistake (x + 5) ( x + 4) = x2 + 9x + 9 Reasoning Explain how I know that (x + 2)2 is not equivalent to x2 + 4

Use the space below to set yourself a question similar to the ones you were able to answer confidently. Use the space below to answer the question that you have set yourself My own question… My answer…

Use the space below to set yourself a question similar to the ones you were able to answer confidently. Use the space below to answer the question that you have set yourself My own question… My answer…