Welcome GCSE Maths.

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Presentation transcript:

Welcome GCSE Maths

Write down the names of six quadrilaterals Can you draw them? Can you label/name their properties?

Quick wits – Week two

Numbers Calculate -5 + 13 Calculate -7-5 In your books, write a place value table from 1 1000 to one million Multiply thirteen by one thousand Divide 13 by one hundred Calculate 3 + 4 × 19 – 8 Calculate 2³ Calculate 3 64

BIDMAS – order of operation B rackets I dices (powers) D ivision M ultiplication A ddition S ubtration

Square/ed numbers & cube/cube root numbers You must know these for your exam Write down the square numbers to 144 Write down the cubed numbers to 125

Rounding Discuss the differences between: Estimating Decimal places Significant figures What topic must we be confident in to complete these accurately?

Individual study BIDMAS and rounding questions - Choose which areas to revise depending on your own strengths and areas for development.

Reflection of the lesson What did you learn new today? Why did you learn it? How are you going to remember it?

Welcome GCSE Maths

Name 8 polygons What is a polygon? hint…it is not a bird that has disappeared!! (Sorry)

The Factors and multiples puzzle   Using the numbers below, complete the grid (you may want to do this in pencil)

Write down the first 10 multiples of 9 Factors and multiples The factors of a number are the whole numbers that divide into it without a remainder. Find the factors of 20 Find the factors of 84 The multiples of a number can be found by multiplying that number by whole numbers. Write down the first 10 multiples of 9 Write down the first 5 multiples of 13

Product of primes/prime factor decomposition Sometimes know as prime factor trees

Prime Factor Trees 36 3 12 4 3 2 2 36 = 2 × 2 × 3 × 3 = 22 × 32 Show this alternative factor tree for 36. The prime factor decomposition is the same. 36 = 2 × 2 × 3 × 3 = 22 × 32

Write 225 as the product of its prime factors 2 marks

10 12 14 15 20 30 28 42 48 56 60 72 112 140 240 310 144 192

Answers 10 = 2x 5 12 = 2²x 3 14 = 2 x 7 15 = 3 x 5 20 = 2²x 5 30 = 2 x 3 x 5 28 = 2²x 7 42 = 2 x 3 x 7 48 = 24 x 3 56 = 23 x 7 60 = 2²x 3 x 5 72 = 23 x 3² 112 = 24 x 7 140 = 2²x 5 x 7 240 = 24 x 3 x 5 310 = 2 x 5 x 31 144 = 24 x 3² 192 = 26 x 3

The highest common factor (HCF) of two numbers is the highest whole number which divides into both. The lowest common multiple (LCM) of two numbers is the smallest number that is a multiple of both.

We can use the prime factors of a number to find the HCF and LCM of larger numbers. Find the HCF and LCM of 20 & 84 using factor trees

Find the HCF and the LCM of 60 and 294 60 = 2 × 2 × 3 × 5 294 = 2 × 3 × 7 × 7

60 = 2 × 2 × 3 × 5 294 = 2 × 3 × 7 × 7 60 294 2 2 7 3 7 5 HCF of 60 and 294 = 2 x 3 = 6

60 = 2 × 2 × 3 × 5 294 = 2 × 3 × 7 × 7 60 294 2 2 7 3 7 5 HCF of 60 and 294 = 2 x 3 = 6 LCM of 60 and 294 = 2 x 5 x 2 x 3 x 7 x 7 = 2940

Answer the worded questions and match the answers Problem solving Answer the worded questions and match the answers

Individual study Choose which areas to revise depending on your own strengths and areas for development.

Reflection of the lesson What did you learn new today? Why did you learn it? How are you going to remember it?