CLICK HERE to return to Key Stage 3 resources

Please find below adapted level descriptors for the five main strands.

Clicking on the links will take you to FREE VIDEO resources – these will be added throughout 2011/2012 academic year.

Gifted and Talented links will also be added in due course. These are indicated by a [G&T].

These will be useful for refining your APP within your school and will help your students make GOOD or EXCELLENT progress in Mathematics.

If you are a teacher who would like a FREE WORD copy of the following to edit, please contact me at info@mathslearn.co.uk with your school and details

 

Level

Algebra

The Number System

Calculating

8

·         I can factorise expressions such as  or  [G&T]

·         I can factorise expressions such as

·         I can manipulate expressions involving quadratics, plus [G&T 1], [G&T 2]

·         I can substitute negatives, decimals and fractions into formulae

·         I can change the subject of complex formulae, possibly including factorising

·         I can sketch quadratic or cubic graphs

·         I can sketch cubic graphs

·         I understand the reciprocal graph

·         I can sketch and interpret more complex real-life graphs

·         I can transform graphs

·         I can represent 2D inequalities

·         I can convert a recurring decimal such as  into a fraction

·         I understand the vocabulary ‘rational’ and ‘irrational

 

·         I can find the original quantity of a proportional change

·         I can solve problems involving repeated proportional change such as fractions or percentages of amounts

·         I can solve problems involving powers and roots

·         I know and can use index rules, and use BIDMAS with powers

·         I understand negative powers, and can use them in calculations [G&T]

·         I can use standard form and solve calculations

7

·         I can expand

·         I can expand expressions of the form

·         I can solve simultaneous equations, [G&T 3]

·         I can solve inequalities in 1 variable

·         I can substitute numbers into real-life formula

·         I can derive and re-arrange simple formula

·         I can find the nth term of quadratic sequences

·         I can plot simple quadratic graphs

·         I can plot simple cubic graphs

·         I understand and can use proportionality to solve problems

·         I can calculate the result of a percentage change

·         I understand the effects of multiplying or dividing by a number between 0 and 1

·         I can perform all four operations with fractions confidently, [G&T]

·         I can make and justify approximations by rounding to 1sf

·         I can use a calculator efficiently to perform multiple step calculations including brackets and powers

6

·         I can use trial and improvement to solve cubic equations

·         I can solve equations such as , plus [G&T]

·         I can solve equations such as

·         I can solve equations such as

·         I can use cross-multiplying to solve harder equations

·         I can find the nth term of linear sequences, plus [G&T]

·         I can generate sequences using given rules

·         I can plot graphs of the form

·         I understand simple gradients and y-intercepts

·         I can interpret real-life graphs

·         I can convert between fractions and decimals

·         I can convert between decimals and percentages

·         I can convert between fractions and percentages

·         I can use the equivalence of fractions, decimals and percentages to compare proportions

·         I can find a percentage of an amount

·         I can increase or decrease by a given percentage

·         I can divide a quantity into a given ratio

·         I can solve problems involving ratio and direct proportion

·         I can add or subtract fractions by searching for the LCM of denominator

·         I can calculate fractions of quantities

·         I can multiply or divide an integer by a fraction

·         I understand simple powers

5

·         I can construct simple formula

·         I can plot coordinates in 4 quadrants

 

·         I can multiply and divide whole numbers by 10s, 100s, 1000s…

·         I can round to 1dp

·         I can order negatives in context

·         I can order decimals and fractions

·         I understand fraction equivalence

·         I understand mixed numbers

·         I can simplify fractions

·         I understand simple ratio

·         I can calculate using decimals to 2dp

·         I can solve problems involving negatives in context

·         I can use a calculator to evaluate proportions

 

 

Level

Handling Data

Shape and Space

8

·         I can construct cumulative frequency diagrams

·         I can use cumulative frequency diagrams to find medians and quartiles and interquartile ranges

·         I can compare two distributions using averages and shape

·         I know when to add or multiply probabilities

·         I can use tree diagrams to calculate probabilities of independent events

·         I can construct and read histograms

·         I understand congruence and similarity

·         I can use trigonometry in right-angled triangles

·         I can use dimensions to understand the difference between different formula for shapes

·         I can re-arrange the circle formula to deduce the radius

·         I can write expressions for area in term of

·         [G&T] algebraic area

7

·         I understand relative frequency and can use to examine an experiment critically

·         I can estimate a range of averages from grouped data

·         I understand bias and how to minimise it

·         I can suggest and explore a problem using statistical methods

·         I can undertake a statistical project using ICT

·         I can use Pythagoras in 2d

·         I can enlarge 2d shapes using fractional scale factors and understand the images are similar

·         I can construct a range of loci for a rule

·         I appreciate that error exists within measurements

·         I can use compound measures (such as speed) to solve problems

6

·         I can construct

a) pie charts

b) bar charts

c) frequency diagrams

d) scatter graphs

·         I can record all mutually exclusive outcomes for a single event or two successive events

·         I know the sum of probabilities of mutually exclusive events equals 1

 

 

·         I can classify quadrilaterals according to their properties

·         I can solve geometrical problems:

a) in triangles

b) corresponding angles

c) alternate angles

·         I can enlarge 2d shapes with a positive scale factor

·         I understand translations, rotations and reflections produce congruent images

·         I can use compasses to do standard constructions

·         I can deduce formulae for area of triangle and parallelograms [G&T]

·         I can find the volume of cuboids

·         I can find the surface area of cuboids

·         I know and use the formula for the area of a circle

·         I know and use the formula for the circumference of a circle

5

·         I understand the probability scale

·         I understand that experiment repetition will lead to different results

·         I understand and can find the mean of discrete data

·         I can compare two simple distributions using averages

·         I can interpret simple graphs and form valid conclusions

 

·         I can identify all symmetries of a particular 2D shape

·         I know and can use the sum of angles at a point

·         I know and can use the sum of angles in a triangle

·         I can measure and draw angles to the nearest degree

·         I can solve problems involving unit conversion

·         I understand the formula for the area of a rectangle

·         I understand the distinction between perimeter and area