Assessment Criteria - Year 7 - Maths, Algebra

KS3 Level

 

Algebra

Projected KS4 Grades

5

I can use the rules of Algebra to add, subtract, multiply and divide terms.
I can simplify expressions by collecting like terms with 1, 2 or 3 unknowns
I can expand harder single brackets and extend this to show equivalences within brackets and true/false type questions
I can construct expressions for a given situation.
I can construct linear equations with and without simple single brackets where the unknown is only on one side.
I can substitute values into more complex 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 side or both sides.
I can solve a linear equation with and without brackets .
I can solve a linear inequality which has an unknown with an integer co-efficient on one side or both sides.
I can solve a linear inequality equation with and without brackets . (not multiplying or dividing by a negative)

 9  

4

•     I can determine pairs of positive integers that satisfy an equation with 2 unknowns
•     I can investigate pairs of numbers that satisfy an equation with 2 unknowns
•     I can investigate lists of combinations of possibilities that will satisfy a worded problem with 2 variables, eg a list of combinations of teas and coffees I can buy for £2, giving reasoning to explain your answers
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.

8

3

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 the equation of the form y=mx + c.
I understand what the gradient of a line actually means both in abstract and real life contexts.

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

7   

2

I can use the rules of Algebra to add, subtract, multiply and divide letters.
I can simplify algebraic expressions by collecting like terms. e.g. 8x + 4y – 2x simplifies to 6x + 4y.
I can expand single brackets, by multiplying the exterior term by all of the interior terms.
I can construct algebraic expressions to represent problems. e.g. 3 pens and 5 pencils is 3p + 5q.

I can construct linear equations without brackets and unknowns only on one side. E.g. 3 pens and 5 pencils cost £1.20 is 3p + 5q = 120.
I can define substitution and explain its application in algebra.
I can substitute positive whole numbers into simple expressions with one or more unknown.
You know standard mathematical formulae and can substitute values into them, including expressions with small powers.

6

1

I can solve linear equations with an unknown on one side and using integer values, this is with and without brackets.
I can solve linear inequalities with an unknown on one side and using integer values, with and without brackets.

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.

5

WT+

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.
I can discuss and interpret graphs of functions, with the use of function machines to find co-ordinates.

I can determine co-ordinate pairs that satisfy a simple linear rule.
I can Plot and draw graphs of linear equations with and without a table of values.
I can understand how to label and scale an axis correctly.
I can interpret information from straight line graphs in real life situations.

4

WT

I can construct very simple equations involving pictures, symbols, boxes etc. (not letter symbols)
I understand how to solve simple missing number problems involving all four operations.
I can determine pairs of positive integers that satisfy an equation.

I can extend patterns of images through reasoning.
I can extend numerical sequences in whole number and decimal steps.
I can read and plot co-ordinates in the first quadrant.
I understand the features of a 4 quadrant grid.
I can describe and plot co-ordinates in all 4 quadrants using the correct notation.

3

WT-

1/2

Each KS3 level can be subdivided into:-

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