These are the skills everyday life actually runs on: percentages and discounts, interest on a loan, ratios in a recipe, and solving for an unknown. Small slips here grow into big gaps later, so the practice keeps asking why. You check your answers, find the mistakes in worked examples, and see each rule on a number line or a grid.
Multiply and divide negative numbers, and why negative × negative is positive.
Multiply or divide the numbers as usual. Then the signs decide: same signs give a positive answer, different signs give a negative answer.
Multiply and divide fractions, and work with decimals.
To multiply fractions, multiply the tops and multiply the bottoms. A fraction of a fraction is the overlap in the picture.
Find the mystery number with a balance scale.
An equation is a balance. Whatever you do to one side, do the same to the other side, and it stays level.
Letters for numbers: like terms, values and writing expressions.
A letter stands for a number we do not know yet. 3x means 3 × x.
Percentages, profit and loss, and simple interest.
Percent means “out of 100”. 25% is 25 out of every 100, the same as ¼.
Angles on a line, crossing lines, and the angles of a triangle.
Angles on a straight line add up to 180°. The three angles of a triangle also add up to 180°.
Powers, the laws of exponents and writing big numbers in standard form.
A power is a short way to write repeated multiplication: aⁿ means a multiplied by itself n times.
Averages, the middle value, the most common value and the range.
The mean, median and mode each describe a typical value in a set of numbers.
The lift, token pairs and the number line from Level 6.
Rational numbers are fractions that can be positive or negative. All the fraction rules still work, and the sign rules from integers decide the sign.
Rectangles, the prime hunt and frog jumps.
Rational numbers are fractions that can be positive or negative. All the fraction rules still work, and the sign rules from integers decide the sign.
