Level 8 – ASSESSMENT CRITERIA
Number and Algebra / Level 8 ASSESSMENT CRITERIA
Geometry and Measures, Statistics
 I can decide which of the following fractions are equivalent to terminating decimals: 3/5, 3/11,7/30, 9/22, 9/20
 I can write 0.45454545… as a fraction in its simplest terms
 I can do calculations involving compound interest and population growth
 I can use proportional reasoning to calculate the original amount in any context
 I can use the laws of indices for multiplication and division
 I can convert between 'ordinary form' and standard form and use the standard form function on a scientific calculator
I can factorise quadratic expressions including the difference of 2 squares e.g.
  • x²– 9 = (x + 3) (x – 3)
I can factorise the following expressions: m²–2m – 8
 I can expand the following expression (2b-3)² giving my answer in its simplest form
 I can show that (2x-3)² - (2x+3)² = -24x
 I can derive and use a more complex formulae e.g.
  • To cook a chicken allow 20 minutes per 1⁄2 kg and another 20 minutes. A chicken weighs‘x’ kg. Write an expression to show the number of minutes ‘m’ to cook a chicken.
 I can change the subject of a formula e.g. Given the perimeter p of a semicircle withradius r is p = r (π+ 2), rearrange the formulaso that r is the subject
 I can substitute into expressions and formula, fractions, decimals and negative numbers
 I can solve inequalities in two variables and find the solution set e.g.
  • I can write the 3 inequalities to describe fully the shaded region.
 I can sketch, identify and interpret graphs of linear, quadratic, cubic and reciprocal functions, and graphs that model real situations
 I can understand the effect on a graph of addition of (or multiplication by) a constant e.g.
  • Given the graph of y=x² I could use it to help sketch thegraphs of y=3x²and y=x²+3
/  I understand and can use congruence and mathematical similarity
 I understand and can use trigonometrical relationships in right-angled triangles, and use these to solveproblems, including those involving bearings
 I can identify the correct expressions / formulae for perimeter, area and volume by considering dimensions e.g.
  • I can identify which of the following expressions represent an area if 'a', 'b' and 'c' are lengths:
ab+bc, 4abc, 5a+6b, 3ab² 2ab-c c(3b-2a)
 I can compare two or more distributions and make inferences, using the shape of the distributions and measures of average and spread including median and quartiles
 I know when to add or multiply two probabilities e.g. I can show you an example of a problem which
  • could be solved by adding probabilities
  • could be solved by multiplying probabilities
 I can use tree diagrams to calculate probabilities of combinations of independent events e.g. I could solve this problem
  • The probability that Nora fails her driving theory test on the first attempt is 0.1. The probability that she passes her practical test on the first attempt is 0.6. Complete a tree diagram based on this information and use it to find the probability that she passes both tests on the first attempt.