YEAR 7

Number:  Four operations and types of number Assessment Criteria

Band

Students can:

Emerging

• know and use the priority of operations and laws of arithmetic
• recall multiplication facts up to 10 × 10, multiply and divide by 10, 100, 1000
• add, subtract, multiply and divide numbers in different ways using mental and written methods and solve problems using four operations
• approximate before adding, subtracting, multiplying and dividing
• use a calculator to solve problems and interpret a calculator display
• use simple negative numbers
• recognise and use multiples, factors and prime numbers
• find common factors and common multiples
• work out the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) of two numbers
• round numbers to the nearest 10, 100 and 1000

Developing

• all the skills in “Emerging” above
• check answers using estimation and inverse operations
• solve problems involving time and money using a calculator
• order positive and negative numbers
• add and subtract positive and negative numbers and begin to multiply with negative numbers
• work out the HCF and LCM of two or three numbers
• recognise and use square numbers, square roots and triangle numbers
• round decimals to the nearest whole number and to 1 or 2 decimal places

Secure

• all the skills in “Emerging” and “Developing” above
• recall the first ten square numbers and first 5 cube numbers
• use mental and written strategies for multiplication, division, addition and subtraction, including problem solving and calculations involving brackets
• estimate answers to complex calculations
• add, subtract, multiply and divide positive and negative numbers
• find all the factor pairs of any whole number
• carry out calculations involving squares, cubes, square roots and cube roots
• round to 1, 2 or 3 significant figures

Excelling

• all the skills in “Emerging”, “Developing” and “Secure” above
• find the HCF and LCM of two or three numbers using Venn diagrams
• round decimals to any number of decimal places and significant figures

YEAR 7

Algebra: Expressions, formulae and functions Assessment Criteria

Band

Students can:

Emerging

• find outputs and inputs of simple functions.
• describe simple functions using words or symbols
• know and use algebraic notation and terminology
• simplify algebraic expressions by collecting like terms
• write expressions given a description in words
• substitute positive integers into expressions and simple formulae written in words and letter symbols
• write simple formulae using letter symbols
• identify the unknowns in a formula and a function

Developing

• all the skills in “Emerging” above
• use arithmetic operations with algebra
• use brackets with numbers and letters
• simplify more complicated expressions by collecting like terms
• write expressions from word descriptions using addition, subtraction and multiplication and to represent function machines
• substitute into expressions involving powers
• write and use simple formulae using letter symbols
• expand expressions involving a single bracket

Secure

• all the skills in “Emerging” and “Developing” above
• introduce function notation
• construct expressions using four operations
• derive formulae from a description
• expand and simplify expressions involving single brackets
• factorise an algebraic expression

Excelling

• all the skills in “Emerging”, “Developing” and “Secure” above
• construct and use expressions using four operations, brackets and powers
• substitute into formulae and into expressions involving powers
• derive and use formulae from a description
• expand expressions involving double brackets
• factorise an algebraic expression, including variables as factors

YEAR 7

Geometry:  Angles Assessment Criteria

Band

Students can:

Emerging

• identify a right angle as 90 degrees
• recognise quarter, half and three-quarter turns, parallel and perpendicular lines and acute, obtuse and reflex angles
• draw and measure acute and obtuse angles using a ruler and protractor
• label lines and angles
• estimate the size of angles
• find missing angles on a straight line and round a point
• use a ruler and protractor to draw triangles accurately
• use the rule for the sum of angles in a triangle
• identify and name types of quadrilaterals

Developing

• all the skills in “Emerging” above
• identify angle, side and symmetry properties of triangles
• use the rule for angles on a straight line, angles around a point and vertically opposite angles
• solve problems involving angles
• calculate interior and exterior angles and solve angle problems involving triangles
• use the rule for the sum of angles in a quadrilateral
• solve angle problems involving quadrilaterals

Secure

• all the skills in “Emerging” and “Developing” above
• solve complex problems involving angles
• work out unknown angles involving parallel lines
• understand how to prove that a result is true
• use properties of a triangle to work out unknown angles
• use the properties of isosceles and equilateral triangles to solve problems
• describe the properties of quadrilaterals, including line and rotational symmetry
• work out the interior and exterior angles of a polygon

Excelling

• all the skills in “Emerging”, “Developing” and “Secure” above
• solve complex problems involving angles using geometric rules
• solve problems using the properties of angles in polygons

  YEAR 7

Statistics: Analysing data Assessment Criteria

Band

Students can:

Emerging

• display data and find information from tables, pictograms, bar and bar-line   charts
• organise data using a tally chart
• understand, draw and use frequency tables and grouped bar charts
• calculate averages and range from a set of data
• compare sets of data using range, mode and median

Developing

• all the skills in “Emerging” above
• read and construct bar charts (including dual and compound)
• read and construct charts for grouped data
• calculate averages and range from a chart or frequency table

• compare two sets of data using an average and the range

Secure

• all the skills in “Emerging” and “Developing” above
• identify sources of primary and secondary data and group discrete and continuous data
• choose a suitable sample size, identify a random sample, and understand how to reduce bias
• use two-way tables, pie charts, and grouped frequency diagrams
• draw and interpret scatter graphs, including outliers; describe correlations between two sets of data, and draw and use a line of best fit
• choose the most appropriate average for a set of data
• recognise when a graph is misleading

Excelling

• all the skills in “Emerging”, “Developing” and “Secure” above
• understand stratified sampling
• find the estimated mean from a set of grouped data

• recognise when a graph or chart is misleading.

YEAR 8:

Number: Number properties and calculations Assessment Criteria

Band

Students can:

Emerging

• add and subtract larger numbers and decimals
• multiply larger numbers and decimals
• use brackets
• add, subtract, multiply and divide negative numbers
• calculate using squares, square roots, cubes and cube roots
• use index notation for powers of numbers
• use mental methods to calculate combinations of powers roots and brackets
• use a calculator to check answers
• write a number as a product of its prime factors
• find the Highest Common Factor (HCF) and Lowest Common Multiple of two numbers using Venn diagrams

Developing

• all the skills in “Emerging” above
• use written methods to add, subtract and multiply with decimals
• calculate with money
• estimate answers to calculations
• use index notation for powers of numbers, including fractional powers
• estimate the square root of a number
• use index laws to calculate combinations of powers roots and brackets
• use prime factor decomposition and Venn diagrams to find the HCF and LCM of 2 numbers

Secure

• all the skills in “Emerging” and “Developing” above
• work out the laws of indices for positive, negative and fractional powers
• show that any number to the power of zero is 1
• calculate with powers, including fractional and negative powers
• use and understand the effect of multiplying and dividing by any integer power of 10
• use the prefixes associated with powers of 10

Excelling

• all the skills in “Emerging”, “Developing” and “Secure” above
• understand how to write a number in standard form and to convert between standard from and ordinary form
• use prime factor decomposition and Venn diagrams to find the HCF or LCM of two or three numbers

YEAR 8

Algebra: Expressions and equations Assessment Criteria

Band

Students can:

Emerging

• simplify expressions by collecting like terms
• find outputs and inputs of function machines
• construct functions from words using algebraic notation
• solve simple equations and check the solution is correct
• understand the difference between an expression and an equation, and identify the unknown in an equation
• use brackets with numbers and variables
• simplify expressions involving single brackets

Developing

• all the skills in “Emerging” above
• understand and simplify algebraic powers
• substitute values into formulae and algebraic expressions involving powers
• simplify expressions involving brackets, use rules for indices and factorise expressions
• multiply out double brackets and collect like terms
• write and simplify algebraic expressions and formulae
• change the subject of a formula
• find the inverse of a function
• solve real life problems using equations
• solve equations using the balancing method
• solve equations with the unknown number on both sides

Secure

• all the skills in “Emerging” and “Developing” above
• understand the meaning of an identity
• use the index laws in algebraic calculations and expressions
• write and simplify expressions involving brackets and powers
• factorise an algebraic expression using numbers and variables as factors
• substitute integers into expressions
• construct and solve equations with brackets

Excelling

• all the skills in “Emerging”, “Developing” and “Secure” above
• understand the meaning of an identity and be able to use reasoning to show an identity
• write and simplify expressions involving brackets and powers
• multiply out double and triple brackets and collect like terms
• factorise an algebraic expression using numbers and variables as factors, including factorising double brackets with positive values

YEAR 8

Geometry: Lines, Angles and Construction Assessment Criteria

Band

Students can:

Emerging

• use a protractor to measure and draw obtuse and reflex angles
• estimate the size of reflex angles
• use vertically opposite angles
• work out the size of unknown angles in a triangle, including isosceles and equilateral triangles
• accurately draw triangles using a ruler and protractor and pair of compasses
• accurately draw a net of a 3D shape
• investigate the sides of a right-angled triangle

Developing

• all the skills in “Emerging” above
• use alternate, corresponding and co-interior angles to find unknown angles
• use reasoning to complete mathematical proofs
• solve geometrical problems using side and angle properties of triangles and quadrilaterals and problems using properties of angles in parallel and intersecting lines
• find unknown angles by forming and solving equations
• solve geometrical problems showing reasoning
• calculate the sum of the interior and exterior angles of a polygon

Secure

• all the skills in “Emerging” and “Developing” above
• draw accurate diagrams to scale to solve problems
• construct nets of 3D solids using a ruler and compasses
• bisect a line and bisect angles using a ruler and compasses
• construct perpendicular lines using a ruler and compasses
• draw a locus and use loci to solve problems

Excelling

• all the skills in “Emerging”, “Developing” and “Secure” above
• draw a locus and use loci to solve problems, including loci of areas

YEAR 8

Statistics: Probability Assessment Criteria

Band

Students can:

Emerging

• use the language of probability and know and use probability notation
• use a probability scale with words and numbers
• write probabilities as fractions, decimals and percentages
• find all the possible outcomes of an event or two simple events
• use equally likely outcomes to calculate probabilities
• calculate the probability of an event's not happening
• use data from an experiment to estimate probabilities
• collect data from an experiment and make calculations based on results
• compare and interpret probabilities

Developing

• all the skills in “Emerging” above
• calculate probability based on equally likely outcomes, compare probabilities
• calculate probability of A or B happening by counting outcomes
• calculate the probability of an event’s not happening
• record data from a simple experiment, estimate probability based on experimental data and make conclusions based on the results
• use probability to estimate the number of expected wins in a game
• apply probabilities from experimental data in simple situations

Secure

• all the skills in “Emerging” and “Developing” above
• identify and find the probabilities of mutually exclusive outcomes and events
• find the probability of an event's not happening
• calculate and use the relative frequency of a value to estimate the probability of an event
• use estimated probability to calculate expected frequencies
• list all the possible outcomes of one or two events in sample space diagrams or Venn diagrams
• calculate probabilities of repeated events
• use tree diagrams to find the probabilities of two or more events

Excelling

• all the skills in “Emerging”, “Developing” and “Secure” above
• list all the possible outcomes of one or two events in sample space diagrams and Venn diagrams and know the set notation for Venn diagrams
• calculate probabilities of repeated events, independent and not independent
• use tree diagrams to find the probabilities of two or more events