LO To assess my understanding of the basic rules of algebra Key Words: Reflect, Communicate, Explain,

Justify

RAG 28/04/2020

Starter Activity Complete the ‘Heard the Word Grid.’ Are there any key words that you have learnt or have a better understanding of now than you did at the start of this unit of work?

Key Words / Methods 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...

Term Expression Simplify Expand Factorise Substitute

Grade G

I can use a formula expressed in words.

F

I can substitute numbers into simple expressions.

I can use letters to write a simple algebraic expression.

E

I can simplify algebraic expressions by collecting like terms.

D

I can expand a linear bracket.

I can factorise simple linear expressions.

I can substitute numbers into expressions.

C

I can expand a pair of linear brackets to get a quadratic expression.

I can simplify algebraic expressions.

Grade G Questions

You can use this rule to work out the total charge for hiring a concrete mixer.

Total charge = £30 plus £8 each day

Esme hired a concrete mixer for 4 days.

Work out the total charge.

Show all your working out.

You can use this rule to work out the total cost of hiring a car.

Total cost = £4 per hour plus £12

Arun hires a car for 5 hours.

Work out the total cost.

Show all your working out.

Answers & Working Out

a = 3 b = 5 Work out the value of 4a + 2b Show all your working out.

Grade F Questions

p = 5s – 2t s = 4 t = 3 Work out the value of p. Katie has x pets.

Agatha has twice as many pets as Katie.

Isabel has 3 more pets than Katie.

Write an expression in terms of x for the number of pets Agatha has.

Write an expression in terms of x for the number of pets Isabel has.

A shop sells pencils in packs and in boxes.

There are 4 pencils in a pack and 12 pencils in a box. Lola buys d packs of pencils.

Write down an expression, in terms of d, for the number of pencils Lola buys.

Rory buys x packs of pencils Write down an expression, in terms of x for the total number of pencils Rory buys.

Simplify a + a + a + a Simplify 3ef + 5ef – ef

Grade E Questions

Simplify b + b + b + b + b Simplify 8n − 3n Simplify 3x + 7y + 2x − y Simplify 3x + 5y + x + 4y Simplify m + m + m + m + m + m Simplify 2p + 7p

Expand 3(x + 2)

Grade D Questions

Factorise 7y + 21 Factorise fully 6ab + 10ac P = 3x 2 – y Work out the value of P when x = 3 and y = -5 Show all your working out.

Grade C Questions

Expand and simplify 3(2a+ 5) + 5(a–2) Expand and simplify (x − 5)(x + 7) Expand and simplify (y + 3)2 Simplify 2e × 3f Simplify 3 × w × 2 Simplify 3 × c × d Simplify d x d x d x d x d

Use the space below to set yourself a question similar to the ones you were able to answer confidently.

My own question…

Use the space below to answer the question that you have set yourself

My answer… My own question… My answer…

Grade G

I can use a formula expressed in words.

F

I can substitute numbers into simple expressions.

I can use letters to write a simple algebraic expression.

E

I can simplify algebraic expressions by collecting like terms.

D

I can expand a linear bracket.

I can factorise simple linear expressions.

I can substitute numbers into expressions.

C

I can expand a pair of linear brackets to get a quadratic expression.

Use the learning journey above to highlight the mathematical skills that you have now which you didn’t have at the start of the unit of work.

How much progress have you made? What can you do to improve your skills as a learner in order to make even better progress?

My teachers probing question My answer What I will do to act upon my ‘Even Better If’’ comment Strategy Complete a mymaths lesson or booster pack Use a revision guide or text book Ask my teacher to explain during a lesson Ask a peer to explain during a lesson Ask someone at home to help Attend a revision session at school Attend homework club Something else (describe your strategy here)

Tick / Comments