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Number - Year 9 Maths

Summary of topic:

(for www.hegartymaths.com relevant clip numbers see below)

  • KPI 9.01: Use one calculation to find the answer of another
    For example: Given that 2.6 x 15.8 = 41.08, what is 26 x 0.158?
  • KPI 9.02: Complete the prime factor decomposition for any 2 digit number
    For example: Write 72 as a product of prime factors.
  • KPI 9.03: Use the laws of indices to multiply and divide numbers written in index notation
    For example: (23 × 25) ÷ 24
  • KPI 9.04: Use a ratio to find one quantity when the ratio and the other quantity is known
    For example: Tom and Jerry share some money in the ratio 3:5, Tom gets £24, how much does Jerry get?

Further reading:

ISBN

Title

Rough Cost

978-1447988090

REVISE Edexcel GCSE (9-1) Mathematics Higher Revision Guide

£6

978-1447987932

REVISE Edexcel GCSE (9-1) Mathematics Higher Revision Workbook

£6

978-1292096315

REVISE Edexcel GCSE (9-1) Mathematics Higher Practice Papers

£6

978-1447988045

REVISE Edexcel GCSE (9-1) Mathematics Foundation Revision Guide

£6

978-1447987925

REVISE Edexcel GCSE (9-1) Mathematics Foundation Revision Workbook

£6

978-1292096308

REVISE Edexcel GCSE (9-1) Mathematics Foundation Practice Papers in Context

£6

Other:

(www.hegartymaths.com relevant clip numbers in brackets)

KPI 9.01: Use one calculation to find the answer of another

  • Order positive and negative integers, decimals and fractions; use the symbols =, ≠, , ≤, ≥ (13, 14)
  • Add and subtract positive and negative numbers (integers) (18,19,20)
  • Recall all multiplication facts to 10 × 10, and use them to derive quickly the corresponding division facts (4, 5, 6)
  • Multiply or divide any number by powers of 10 (15, 16)
  • Multiply and divide positive and negative numbers (integers) (21,22,23, 143, 144, 145, 146)
  • Negative numbers (37-44)
  • Use brackets and the hierarchy of operations (24)
  • Round numbers to a given power of 10 (17)
  • Identify the value of digits in a decimal or whole number (45)
  • Write decimal numbers of millions, e.g. 2 300 000 = 2.3 million (46)
  • Add, subtract, multiply and divide decimals, including calculations involving money (47, 51, 147)
  • Multiply or divide by any number between 0 and 1 (48, 49, 148)
  • Round to a given number of decimal places (56)
  • Round to any given number of significant figures (130)
  • Use one calculation to find the answer of another (135, 136)

KPI 9.02: Complete the prime factor decomposition for any 2 digit number

  • Recognise odd and even numbers (25)
  • Identify factors, multiples and prime numbers (26, 27, 28, 33)
  • Recognise two-digit prime numbers (28)
  • Find the prime factor decomposition of positive integers and write as a product using index notation (29, 30)
  • Find common factors and common multiples of two numbers (32, 35)
  • Find the LCM and HCF of two numbers, by listing, Venn diagrams and using prime factors: include finding LCM and HCF given the prime factorisation of two numbers (32, 35)
  • Solve simple problems using HCF, LCM and prime numbers (36)

KPI 9.03: Use the laws of indices to multiply and divide numbers written in index notation

  • Recall integer squares up to 10 x 10 and the corresponding square roots (99)
  • Understand the difference between positive and negative square roots (101)
  • Recall the cubes of 1, 2, 3, 4, 5 and 10 (100)
  • Recognise powers of 2, 3, 4, 5 (102)
  • Use index notation for powers of 10, including negative powers (121)
  • Use the laws of indices to multiply and divide numbers written in index notation (105, 106)
  • Use brackets and the hierarchy of operations with powers inside the brackets, or raising brackets to powers (120)

KPI 9.04: Use a ratio to find one quantity when the ratio and the other quantity is known

  • Write ratios in their simplest form (329)
  • Write/interpret a ratio to describe a situation (328)
  • Share a quantity in a given ratio including three-part ratios (332)
  • Solve a ratio problem in context (333)
  • Use a ratio to find one quantity when the other is known (334, 338)
  • Problems involving mixing, e.g. paint colours, cement and drawn conclusions (335)
  • Write ratios in form 1 : m or m : 1 (331)
  • Write a ratio as a fraction (330)

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