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YEAR 8 (ma2)

Numbers and the number system

Calculations

Algebra

Place value, ordering and rounding

Number operations

Equations, formulae and identities

Integers, powers and roots

Mental methods

Sequences, functions and graphs

Fractions, decimals, percentage, ratio and proportion

Written methods

 

 

Calculator methods

 

 

Checking results

 


Numbers and the number system

W  start of year assessment tests

Place value, ordering and rounding                                   


Y8 Objectives

Resources

Order decimals

W   W  W  Ordering decimals
W  W  graph paper for representing decimals
P  what would you rather have?
P 
W  decimal unscramble
W  collect a joke
F F Compare decimals (With answers)

Multiply and divide integers and decimals by 0.1, 0.01

P   find the reward (multiply/divide by 10,100,1000)
P  blockbusters (multiply/divide by 10,100,1000)

P   four in a row (multiply/divide by 10,100,1000)

Round to any given power of 10

Round decimals to 0, 1, or 2 decimal places

P  X  rounding
W  maths unscramble
W  collect a letter
W  Loop cards
F Round to 1 dp
F Round to nearest whole Number

 

Integers, powers and roots                                               Top

Y8 Objectives

Resources

Add, subtract, multiply and divide integers

 

Recognise and use multiples, factors and common factors

 F Find factors of first 24 numbers - colour

LCM and HCF

 

Recognise and use prime numbers

Find the prime factor decomposition of a number

 

Use squares and square roots (-ve and +ve)

Use cubes and cube roots

 

Use index notation for small positive integer powers

 

 

Fractions, decimals, percentages, ratio and proportion          Top

Y8 Objectives

Resources

Know that a recurring decimal is a fraction

 

Express a number as a percentage of another

 

Use division to convert a fraction to a decimal

Order fractions using common denominators or decimals

W   W  Ordering fractions
W  time as fraction or decimal

Add and subtract fractions

X Worksheet generator (mixed Numbers)
X Fraction loop Cards

Multiply and divide an integer by a fraction

 

Calculate fractions of quantities

P  fraction poster
W
  fraction trails
W   perfection
W   collect a joke
W   4 in a line
W   fractions of 24
W   test

Interpret percentage as the 'so many 100ths of'

 

Use equivalence of fractions, decimals and percentages

W  P  W  W equivalent fractions
W  4 in a line
W  equivalent fraction pictures
W  fraction cards

Calculate percentages and % increase and decrease

W  W  W  Mental percentages

W  W  percentage perfection

W  W  percentages of amounts

Consolidate understanding of ratio and proportion

Recognise the links between fraction notation and ratio

 

Reduce a ratio to its simplest form (inc. different units)

 

Divide a quantity by a given ratio

 

Solve simple problems about ratio and proportion formally

 F Increase proportion in a recipe


Calculations


Number operations and the relationships between them      Top

Y8 Objectives

Resources

Understand operations of + and - of fractions and integers

Understand the operations of x and of integers

W  adding starter
W  times table perfection
P  clock 
F Division long and short
F F F Multiplication
X  adding with time
P 
W  bidmas unscramble

Use order of operations with more complex calculations

 


Mental methods and rapid recall of number facts                   Top

Y8 Objectives

Resources

Recall fraction to decimal conversions

 

Use known facts to derive unknown facts

W   mini golf multiplication

Consolidate decimals, fractions and percentages

W F  Adding decimals
W   Decimal division
W  W  W  Percentages
F Decimals Crossword

Consolidate squares and cubes and roots

 

Solve word problems mentally

 

Make and justify estimates and approximations

 


Written methods                                                                           Top

Y8 Objectives

Resources

Standard column procedures for decimals up to 2 dp

 

Column procedures for x and of integers/decimals

 

Understand where to position the point

 


Calculator methods                                                               Top

Y8 Objectives

Resources

Use brackets and memory for multi step calculations

 

Use the sign change key

 

Use powers and roots

 

Use the fraction keys

 

Enter no.s and interpret the display in different contexts

 


Checking results                                                                           Top

Y8 Objectives

Resources

Check results by working the problem backwards

 

Consider whether the result is the right order of magnitude

 


Algebra


Equations, formulae and identities                                   Top

Y8 Objectives

Resources

Distinguish role of letters in equations, formulae, functions

 

Know the meanings of formula and function

 

Know algebraic operations follow the rules of arithmetic

F Find perimeter of shapes
F Multiply algebraic terms together

Use index notation for small positive integer powers

 

Simplify/transform linear expressions by collecting terms

W   Algebraic expressions

Multiply a single term over a bracket

 

Construct and solve simple linear equations

W  introducing algebra
W  mystery numbers
P  P  making equation cards
P equation wall
W Equation Questions
P  create a collect a letter
W  collect a joke

Begin to use graphs to set up equations

 

Use formulae from mathematics and other subjects

 

Substitute integers in simple formulae

Substitute +ve integers into expressions with small powers

 

Derive simple formulae

W  Finding formulas


Sequences, functions and graphs                                           Top

Y8 Objectives

Resources

Generate and describe simple integer sequences

Generate terms of a linear sequence (paper or ICT)

W  sequence joke code

Begin to use linear expression to describe the nth term

 

Express simple functions in symbols

 

Represent  mappings expressed algebraically

 

Generate points in all four quadrants

P   P  co-ordinate grids

Plot the graphs of linear functions (y in terms of x)  (ICT)

 

Recognise equations of the form y = mx + c

 

Construct/plot linear functions from real-life problems

Interpret graphs arising from real-life situations

 

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