Download Algebra Levels Word document

Algebra
What do I need to be able to do to get a…
Level 4
 I can write a rule in words to say how one number has been changed to another
 I can write down the co-ordinates of a point
 I can plot a point on a grid using its co-ordinates
Level 5
 I can write a rule in algebra to say how one number has been changed to
another
 I can use one or two step formulas (rules in algebra)
 I can use negative co-ordinates
Level 6
 I can solve equations, correct to one decimal place, using trial and
improvement
 I can write a rule to say how to get from one number to the next in a sequence
of numbers
 I can write a rule for the nth term of a simple sequence (to say how to work out
the value of any term in the sequence)
 I can form simple equations from a problem written in words
 I can solve simple equations
 I can use mapping diagrams to show the effects of a function (rule in algebra)
 I can use the equation of a line to find several points on the line, plot them on a
grid and join them to make a line
 I can write down the gradient and y-intercept of a line
Algebra
What do I need to be able to do to get a…
Level 7
 I can write a rule for the nth term of a sequence that is based on n2 (a quadratic
sequence)
 I can multiply out a pair of brackets of the form (x + a) (x + b) and simplify the
answer
 I can solve a pair of simultaneous equations by drawing lines
 I can solve a pair of simultaneous equations using algebra
 I can solve a simple inequality
Level 8
 I can substitute negative numbers, fractions and decimals into algebraic
formulas
 I can calculate any missing variable (letter) in a complex formula (such as V =
πr2h) if I know the value of other variables
 I can rearrange a formula to make any letter the subject of the formula
 I can multiply out and simplify any pair of brackets
 I can fully factorise an algebraic equation with two or more parts
 I can simplify algebraic fractions by cancelling common factors
 I recognise “the difference of two squares” and know that, for example, a2 – b2
factorises as (a + b)(a – b)
 I can solve inequalities involving two variables and show the solution on a
graph
 I can sketch the graphs of functions in the form y = ax…(linear), y =
ax2…(quadractic), y = ax3…(cubic) and y = a/x….(reciprocal)
 I can sketch the graphs of real-life problems, such as the depth of water in a
container or the distance travelled over time