Level Descriptors

Mathematics

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                                 BBC KS3 Bitesize

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Level Descriptors

Level 4 | Level 5 | Level 6 | Level 7 | Level 8

The following should give pupils and parents an idea of what pupils are required to be able to do or understand to achieve the various National Curriculum levels throughout Key Stage 3.

Some topics have links to BBC Bitesize, Learnpremium, or Subtangent to help you with revision. To access the Learnpremium links, you will need the school user name and password. Pupils can obtain this information from staff in school.

Level 4

Number and Algebra

         Describe number patterns

         Find multiples

         Find factors

         Work out the square numbers

         Use word formulae

         Use co-ordinates in the first quadrant

         Multiply and divide whole numbers by 10 and 100

         Say my tables up to 10x10

         Add and subtract numbers like 13.64 and 48.95

         Write decimal numbers in the correct order

         Check my own answers

Shape, Space and Measures

         Make 3D models

         Draw 2D shapes

         Find perimeters of shapes

         Find the area by counting squares

Handling Data

         Draw line graphs

         Present data clearly

         Read simple pie charts

         Draw frequency tables

         Find the mode

         Find the range

Level 5

Number and Algebra

         Multiply and divide whole numbers by 10, 100 and 1000

         Add and subtract negative numbers

         Put numbers in order including negative numbers

         Add, subtract, multiply and divide numbers like 19.75 and 34.21

         Simplify a fraction

         Work out a fraction or percentage of a number

         Multiply or divide a three digit number by a two digit number

         Use inverse operations of approximation to check my answers

         Use simple formulae like C = 2n + 4

         Use co-ordinates in all four quadrants

Shape, Space and Measures

         Learn about this topic at SubtangentMeasure and draw angles to the nearest degree

         Remember the metric to imperial conversions

         Use and understand the formula for the area of a rectangle

Handling Data

         Find the mean of discrete data

         Use the range and one of the averages to compare two sets of data

         Say what diagrams and graphs show

         Use the probability scale from 0 to 1

         Understand that experiments don�t always have the same outcome

Level 6

Number and Algebra

         Use trial and improvement to solve things like x3 + 5x = 38

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeWork out one number as a fraction or percentage of another

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeUnderstand that fractions, decimals and percentages can be equivalent to each other (eg 0.5=50%)

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeCalculate using ratio

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeAdd and subtract fractions with common denominators

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeFind and describe in words the rule for the next term in a sequence (linear)

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeFind and describe in words the rule for the nth term in a sequence

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeSolve linear equations with integer coefficients

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeLearn about this topic at SubtangentPlot the graph of y = mx + c

Shape, Space and Measures

         Recognise 2D representations of 3D objects

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeClassify quadrilaterals by knowing their properties

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeFind the missing angles when two parallel lines are intersected

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeSolve angle problems in polygons

         Write instructions to make a computer draw a shape

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeFind the area and circumference of a circle

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeFind the volume of cuboids

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeEnlarge a shape by a positive scale factor

Handling Data

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeWork with continuous data

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeLearn about this topic at SubtangentConstruct pie charts

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeSay what a scatter diagram tells us

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeUnderstand correlation

         Learn about this topic at LearnpremiumLearn about this topic at BBC BitesizeFind all the possible outcomes of two experiments

         Learn about this topic at BBC BitesizeUse the fact that the probability of mutually exclusive events add up to 1

Level 7

Number and Algebra

         Round to one significant figure

         Understand what happens when we multiply or divide by numbers between 0 and 1

         Multiply and divide numbers of any size

         Understand proportional change

         Describe in symbols the rule for the next term or nth term in a sequence (quadratic)

         Multiply things like (a + b)(c + d)

         Simplify quadratic expressions

         Solve simultaneous, linear equations with two variables (using graphs or algebra)

         Solve inequalities like 6(2n + 1)=18

Shape, Space and Measures

         Learn about this topic at LearnpremiumLearn about this topic at SubtangentUnderstand and use Pythagoras� Theorem in 2D

         Calculate lengths, areas and volumes in right prisms

         Enlarge a shape by a fractional scale factor

         Understand similarity

         Draw the locus of a moving object

         Find and understand upper and lower bounds

         Use compound measures like speed, distance, time

Handling Data

         Give and test a hypothesis to a situation

         Understand bias

         Find the modal class and an estimate to the mean, median and range when using grouped data

         Compare distributions using frequency polygons

         Draw a line of best fit on a scatter diagram

         Understand relative frequency

Level 8

Number and Algebra

         Solve problems involving powers and roots

         Learn about this topic at SubtangentSolve problems involving standard form

         Solve problems involving repeated proportional change

         Substitute fractions and decimals into equations and expressions and find the answers

         Calculate one variable in a formula when I know the others

         Understand that a2 - b2 = (a + b)(a - b)

         Solve inequalities in two variables

         Sketch and interpret graphs of quadratic, cubic and reciprocal functions

         Interpret graphs that model real life situations

Shape, Space and Measures

         Use congruence and mathematical similarity

         Learn about this topic at SubtangentUse sine, cosine and tangent in right angled triangles in 2D

         Distinguish between formulae for perimeter, area and volume by considering dimensions

Handling Data

         Interpret and construct cumulative frequency diagrams

         Estimate the median and interquartile range

         Calculate the probability of a compound event

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