Assessment Criteria - Year 9 - Maths, Algebra

KS3 Level

Algebra 

Projected KS4 Grades

 7

I can expand double brackets.
I can simplify expressions using fractions.
I can construct simple linear equations with fractional and decimal coefficients
I can solve problems by re-arranging formulae.
I can solve quadratic equations by factorising
I can solve a pair of simultaneous equations

I can determine an approximate solution to simultaneous equations using a graph and interpret the answer.
I can interpret, deduce and justify generalisations for the nth term of a quadratic sequence.
I understand how to find f(x) + g(x), 2f(x), 3f(x) etc. graphically
I can explore and use graphical methods to identify and interpret roots, intercepts and turning points of quadratic functions

 9

6

I can represent an inequality graphically on a set of axes
I can generate, plot, interpret and explore graphs of functions of the form y=x^n and recognise their characteristic shapes.
I can generate, plot, interpret and explore graphs of functions of quadratic and cubic functions
I can explore how quadratic graphs can be used to find approximate solutions to quadratic equations.

I understand how to solve an inequality by representing the solution sets as a region on a graph.
I can solve linear inequalities and represent the solution graphically.
I can interpret and analyse graphs arising from complex real life situations
I am able to interpret the gradient in distance/time and speed/time graphs.
I can use graphs to calculate measures including unit price, average speed, distance, time

8

5

I can expand and factorise single brackets
I can simplify expressions with indices
I can construct linear equations with unknowns on both sides and with brackets
I can construct formulae for two step real life situations
I can derive a formula (from mathematics or other subjects) and change its subject
I can solve linear equations with fractional co-efficients and unknowns on both sides

I can solve linear inequalities in one variable and represent the solution on a number line.
I can apply the effect of multiplying/dividing by a negative when solving inequalities.
I can use trial and improvement or iteration to determine the approximate solution equations.
I can determine two unknown integers that satisfy simple worded problems that represent two simultaneous equations.
I can construct a pair of simultaneous equations to
I can apply efficient methods to solve a pair of simple simultaneous equations

7

4

I can recognise and use sequences of cube numbers, arithmetic progressions, Fibonacci type sequences, quadratic sequences
I can interpret how the nth term for linear sequences work
I can apply function notation and construct functions
I understand how to calculate with two successive functions.

I can generate points and plot graphs of linear functions where y is given implicitly in terms of x
I can identify and interpret a gradient from an equation
I can use graphical methods to identify and interpret gradients
and intercepts of linear functions.
I can determine the equation of a line using two points, one point and a given gradient or perpendicular line.

6

3

I can use the rules of Algebra to add, subtract, multiply and divide
I can simplify expressions by collecting like terms
I can expand single brackets
I can construct expressions
I can construct linear equations with and without simple single brackets
I can substitute values into formulae involving those with brackets, indices and more than one operation.

I can change the subject of a formula and re-arrange equations.
I can solve a linear equation which has an unknown with an integer co-efficient on one or both sides.
I can solve a linear equation
I can solve a linear inequality which has an unknown on one or both sides.
I can solve a linear inequality equation with and without brackets

5

2

I can determine pairs of positive integers that satisfy an equation with 2 unknowns
I can investigate pairs of numbers (including fractions/negatives/decimals) that satisfy an equation with 2 unknowns
I can investigate lists of combinations of possibilities that will satisfy a worded problem with 2 variables
I can generate terms of linear sequences using the nth term rule from patterns and practical situations

•     I can interpret, deduce and justify the general (nth rule) for linear sequences
•     I can generate a quadratic sequence using a position to term rule.
I can express simple functions algebraically.
•     I can use function machines to generate an algebraic function.
I can find the inverse of a linear function
I can interpret the output to input process as the inverse function.

4

1

I can explore and identify the key features of linear graphs in the form y=mx + c
I can explore and determine the features of the graphs of y=a and x=a.
I can recognise and explore straight line graphs parallel to the x and y axis.
I can determine the gradient of lines given by y=mx + c.
You understand what the gradient of a line actually means

I can determine approximate solutions to linear equations using graphs.
I can investigate features of positive and negative gradients
I can investigate equations of parallel and perpendicular lines
I can describe and draw a simple distance-time graphs
I can interpret information from straight line graphs in real life situations.

3

WT+

I can use the rules of Algebra to add, subtract, multiply and divide letters.
I can simplify algebraic expressions by collecting like terms.
I can expand single brackets
I can construct algebraic expressions to represent problems.
I can construct linear equations with unknowns on one side.
I can define substitution and explain its application in algebra.
I can substitute positive whole numbers into simple expressions with one or more unknown.
I know standard mathematical formulae and can substitute values into them

I can solve linear equations with an unknown on one side and using integer values
I can solve linear inequalities with an unknown on one side
I can determine pairs of positive integers that satisfy an equation with two unknowns.
I can describe a sequence in words.
I can reason a term to term rule from a linear sequence.
I can generate terms of a linear sequence using a term to term rule.
I can generate terms of a simple sequence given a written rule.
I can express simple functions in words, and then use symbols.
I can interpret simple expressions as functions with inputs and outputs.

2

WT

1

Each KS3 level can be subdivided into:-

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