In S3, students develop their skils from S1 and S2, and start to lay the foundations for study in S4 and S5. They begin the year by reviewing and extending learning around fractions, decimals and percentages. This is followed with being introduced to an increasingly important area of Mathematics: Pythagoras' Theorem and Trigonometry. Students will develop their algebraic skills to incorporate more complicated expressions such as quadratics. The geometry topics in this year focus on working in the coordinate plane, including transforming shapes.
S3 students begin to learn some of the higher level skills required to support further study in Mathematics. Trigonometry and Quadratics are two very important topics that students will continue to develop until they leave school, and it all begins in S3.
In each year group there are some key skills that we want students to master completely by the end of the year. Fluency in these keys skills will help students in future years as these become building blocks for other skills they will develop:
In S3 the Key Skills are:
In this unit students will learn about:
Pythagoras' Theorem and how it is used to find sides of right angled triangles
the converse of Pythagoras' Theorem
similar shapes
right angled Trigonometry
In this unit students will learn about:
factorising expressions into single brackets
factorising expressions into two brackets
solving quadratic equations by factorising
rearranging simple formulae
direct and inverse proportion
the basic laws of exponents
using standard form to express large and small numbers
In this unit students will learn about:
converting between fractions and decimals
converting between fractions and recurring decimals
using percentage multipliers
increasing and decreasing by a percentage
working with percentage change
In this unit students will learn about:
the terminology used to describe circles
finding the length of an arc of a circle
finding the area of a sector of a circle
volumes and surface areas of curved 3D shapes such as pyramids, cylinders, spheres and cones
compound measures such as speed, density and pressure
the coordinate plane
the distance between coordinates
the midpoint of two coordinates
the gradient between two coordinates
reflections on the coordinate plane
rotations on the coordinate plane
translations on the coordinate plane using vectors
enlargements on the coordinate plane
In this unit students will learn about:
using flowcharts to represent an algorithm
using simple algorithms
In this unit students will learn about:
sampling methods for collecting data
bivariate data
representing bivariate data in a scatter plot
analysing bivariate data by describing correlation and drawing lines of best fit by eye
analysing continuous data by calculating an estimate for the mean, the median class and modal class for data in a grouped frequency table