Mathematics, 11–13 years — 20 topics · MyLeoNes™ Kuks
20 mathematics topics written for 11–13 years — not a older text simplified. In teaching order, each a deck of five cards: the idea, why it exists, a worked example, the common trap and where you meet it.
Mathematics · 11–13 years
Fractions as numbers
See a fraction as a number with a place on the number line, not only as a piece of a cake.
Ratios
Compare quantities fairly by keeping track of how many parts of one thing match another.
Percentages
A percentage gives a quantity as parts out of one hundred, making comparisons easier.
Linear equations
Use an unknown number and preserve balance to find what a statement is really saying.
Negative numbers
Numbers below zero help describe amounts that go in the opposite direction from ordinary counting.
Powers and square roots
Powers repeat multiplication, while square roots undo a square.
Pythagorean theorem
In a right-angled triangle, the three side lengths follow a dependable square relationship.
Probability
Probability measures how likely an event is when the possible outcomes are understood.
The coordinate plane
A way to give every point on a flat surface an exact address using two numbers.
Angles in triangles
The three inside angles of every triangle always add up to a straight angle.
The area of a triangle
How to measure the amount of flat space inside a triangle.
The mean average
One number that represents a set of values by sharing their total equally.
Decimal place value
Understand what each digit means after the decimal point, and use that meaning to compare, round and calculate with decimal numbers.
Perimeter
Find the distance around a shape by adding its side lengths, and understand why different shapes can have the same perimeter.
Volume of rectangular prisms
Measure how much space a box-shaped solid contains by counting equal layers of cubes and multiplying its three dimensions.
Scale drawings
Use a fixed relationship between a drawing and the real object to read maps, plans and models without losing the real distances.
Prime factorisation
Prime factorisation breaks a whole number into the prime numbers that multiply to make it. It gives each number a useful fingerprint for comparing, simplifying and organising numbers.
Algebraic expressions
An algebraic expression uses letters and numbers to describe a calculation whose value may change. Learning to read and simplify one makes a changing situation easier to calculate and explain.
Inequalities
An inequality compares amounts when they are not necessarily equal. It helps describe limits, ranges and choices such as a bag weighing at most 7 kilograms or a game score above 100.
Circumference of a circle
The circumference is the distance all the way around a circle. It is connected to the circle’s diameter by the constant π, so you can find the outside distance without measuring every point of the curve.
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