Number - Year 8 Maths

Summary of topic:

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

• KPI 8.01: Use integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5, 10 and distinguish between exact representations of roots and their decimal approximations
• KPI 8.02: Use the concepts and vocabulary of prime numbers, factors (or divisors), multiples, common factors, common multiples, HCF, LCM, prime factorisation, including using product notation and the unique factorisation property
• KPI 8.03: Round numbers and measures to an appropriate degree of accuracy [for example, to a number of decimal places or significant figures] 
• KPI 8.04: Multiply and divide fractions and mixed numbers
• KPI 8.05: Use the equivalence of fractions, decimals and percentages

Further reading:

Other:

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

KPI 8.01: Use integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5, 10 and distinguish between exact representations of roots and their decimal approximations

• Understand how to use squares, cubes and roots (99 – 101)
• Write powers in index form (102)
• Powers of negative numbers (101)
• Basic index laws - multiplication and division of powers (not algebraic) (105-107)
• Recognise and generate square and cube numbers (99, 100)
• Understand how to raise a negative number to a given power on a calculator

KPI 8.02: Use the concepts and vocabulary of prime numbers, factors (or divisors), multiples, common factors, common multiples, HCF, LCM, prime factorisation, including using product notation and the unique factorisation property

• Understand the definition of prime factors (28 – 30)
• Find HCF and LCM using Venn Diagrams or Factor Trees (32, 35)

KPI 8.03: Round numbers and measures to an appropriate degree of accuracy [for example, to a number of decimal places or significant figures]

• Round numbers to decimal places and to the nearest 10, 100, 1000 (17)
• Round very large and very small numbers to 1, 2 and 3 significant figures (130)
• Round very large and very small numbers to 1, 2 and 3 significant figures (130)
• Efficiently use a calculator to solve multi-step calculations involving brackets, powers, decimals, fractions and negative numbers (129)

KPI 8.04: Multiply and divide fractions and mixed numbers

• Find an equivalent fraction for another fraction given either the desired numerator or denominator (59)
• Simplify fractions to their lowest terms (61)
• Add and subtract fractions (65, 66)
• Multiply and divide positive proper and improper fractions and mixed numbers (67 – 70)

KPI 8.05: Use the equivalence of fractions, decimals and percentages

• Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 and 3/8) (52)
• Interpret percentages as a fraction or a decimal, interpret these multiplicatively (82, 83)
• Express one quantity as a percentage of another
• Recognise common Fractions-Decimals-Percentages (FDP) conversions (149)
• Order fractions, decimals and percentages