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 rearrange equations. I can solve a linear equation which has an unknown with an integer coefficient 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 coefficient 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 distancetime 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 coordinates.

I can determine coordinate 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 coordinates in the first quadrant. I understand the features of a 4 quadrant grid. I can describe and plot coordinates in all 4 quadrants using the correct notation.

3

WT

1/2
