Year8Schemeofwork AutumnTerm‐Halfterm1
Extension
TopicTitle: Accuracy and rounding
2 lessons
Routemap: Year 8 Extension
Pre‐requisiteknowledge:
 Round to various decimal places
 Understand what is meant by significant figures
 Round whole numbers to significant figures
 Understand that rounding numbers effects accuracy
 Understand and use interval notation (<, >)
Keywords:
Rounding, significant, accuracy, estimate
BasicYear8Content:
 Round decimals to significant figures
 Estimate answers to calculations by rounding numbers to one sig fig
Numberoflessonsrequired:
2 lessons
ChallengeContent:
 Estimate answers by rounding to one significant figure including division of decimals
Topiccommentary:
Notes
Pearsons
TopicTitle: Calculations 1
4 lessons
Routemap: Year 8 Extension
Pre‐requisiteknowledge:
 Multiply 3 digit by 2 digit numbers (filling in blanks of partially completed multiplications,
10 ticks)
 Estimate answer to calculation by rounding to one significant figure then check by
carrying out multiplication
 Divide 3 digit by 2 digit whole numbers
 Extend written methods to U.t x U
 Multiply decimals with one or two decimal places by and integer
 Multiply decimals mentally and understand the effect (0.2 x 0.8)
 Be able to add and subtract a mixture of decimals and integers to various decimal
places (5.2 – 0.36)
 Understand and apply order of operations on calculations with brackets
 Divide decimals with one or two decimal places by whole numbers
Keywords:
Divide, share by, multiply, product, integer,
decimal
BasicYear8Content:
 Write numbers as a decimal numbers of millions or thousands (23 600 000 as 23.6
million)
 Use knowledge of decimals to calculate the division of two decimals (1.5 / 0.03 –
multiply both by 100, answer will be the same)
 Use knowledge of decimals to calculate the product of two decimals (Chinese grid
method, or multiply whole number then place the decimal)
Numberoflessonsrequired:
4 lessons
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Understand the effect of multiplying and dividing by decimals
Be able to multiply any number by 0.1 or 0.01 and understand the effect
Understand which part of an expression is raised to a power by knowing the difference
between 3 x (7+8)2 and 32 x (7+8) and (3 x (7 + 8))2.
Use BIDMAS in more complex calculations including squares and brackets
ChallengeContent:
 Understand the effect of dividing a number by 0.1 or 0.01
Topiccommentary:
Pearsons
Notes
TopicTitle: Calculations 2
Routemap: Year 8 Extension
4 lessons
Pre‐requisiteknowledge:
 Use equivalence to reduce fractions to their simplest form
 Simplifying fractions by cancelling all common factors
 Compare fractions by finding common denominators – represent on a diagram
 Add and subtract simple fractions with common denominators
 Add and subtract fractions with denominators of any size
 Add and subtract positive and negative integers (e.g. 8 + -3, 9 – -4)
 Multiply and divide positive and negative integers and explain the effect
Keywords:
Fraction, part, whole, denominator,
numerator, multiply, of, divide, share by,
mixed, improper, top heavy, minus, negative,
positive
BasicYear8Content:
 Convert mixed numbers and improper fractions (use diagrams to being with)
 Add and subtract fractions containing mixed numbers
 Know a whole number can be written as a fraction (2 = 2/1 or 4/2)
 Multiply a fraction by an integer
 Multiply and integer by a fraction
 Multiply a fraction by a fraction
 Know that 24 / ¼ can be interpreted as ‘how many quarters are there in 24?’
 Divide an integer by a fraction
 Divide a fraction by a fraction
Numberoflessonsrequired:
4 lessons
ChallengeContent:
 Simplify fractions before multiplying by cross cancelling
 Multiply and divide mixed numbers
Topiccommentary:
Pearsons
Notes
TopicTitle: Indices and powers
3 lessons
Routemap: Year 8 Extension
Pre‐requisiteknowledge:
 Use index notation for squares and cubes
 Know all square numbers up to 16 and be able to recall the square root of that number
 Find square roots of non-square numbers using a calculator
 Recognise some cube numbers (1, 2, 3, 4, 5, 10)
 Extend mental and written calculation to include squares, cubes and roots
Keywords:
Index, power, order, cubes, squares, roots,
notation, evaluate, simplify
BasicYear8Content:
 Calculate square roots of square numbers multiplied by a multiple of 10 (400, 1600)
 Combine laws of arithmetic for brackets with simple mental calculations of square
roots (√(45 + 36))
 Establish index laws for multiplication and division for positive powers
 Simplify calculations by applying index laws
 Understand the difference between ‘simplify’ and ‘calculate/evaluate’ with regards to
index laws
Numberoflessonsrequired:
3 lessons
ChallengeContent:
 Know that square numbers have positive and negative roots
 Calculate square roots of square numbers multiplied by a multiple of 10 (0.04, 0.0036)
 Know that any number to the power zero equals 1
 Investigate themselves the index laws when indices are over a bracket
Topiccommentary:
Notes
Pearsons
TopicTitle: Factors and multiples
3 lessons
Routemap: Year 8 Extension
Pre‐requisiteknowledge:
 Identify all the prime numbers less than 100 using the Eratosthenes sieve (starter)
 Recognise 2 digit prime numbers
 Find common factors and common multiples by listing
 Recognise and use the highest common factor and lowest common multiple
 Understand why it is not necessary to find the lowest common factors and the highest
common multiple
 Find the prime factor decomposition of a number less than 100 (written as 2x2x3x5)
 Find the prime factor decomposition of numbers, written in index form
Keywords:
Prime, factor, decomposition, product,
multiple, common
BasicYear8Content:
 Use prime factor decomposition to find HCF and LCM
 Recognise when to use prime factor decomposition or listing
 Recognise when HCF or LCM is needed from word problems
Numberoflessonsrequired:
3 lessons
ChallengeContent:
 Understand how to find the square root of a number using prime factor decomposition
Topiccommentary:
Notes
Pearsons