# Welcome to the Glossary page!

- What is algebra?
- What are coefficients, variables, terms and brackets?
- Understand how to use and interpret algebraic notations?
- Learn how to simplify algebraic expressions by collecting like terms (adding, subtracting, multiplying and dividing)?
- How to substitute values into expressions and equations?
- How to rearrange and manipulate algebraic expressions and equations?
- How to add, subtract, multiply and divide numbers with the same, and also different signs (positive and negative numbers)?
- Test your knowledge on Algebra GCSE Maths practice questions and exam style questions with answers provided.

- What are fractions?
- What are numerators and denominators?
- Useful table of fractions to help you change fractions into their equal decimal form.
- Understand how to add, subtract, multiply and divide fractions?
- What are improper/top heavy fractions?
- What are mixed numbers?
- How to change an improper/top heavy fraction into its equal mixed number?
- How to simplify fractions that use algebraic terms?
- Learn how to work out the reciprocal of a fraction?
- What are recurring decimal numbers?
- How to change recurring decimal numbers into their equal fractions?
- Step by step tutorials on how to answer practice questions on Fractions?
- Test your knowledge on Fractions GCSE maths practice questions and exam style questions with answers provided.

- What are percentages?
- How to change a percentage into its equal fraction and decimal number form?
- Understand how to work out the percentage of a number?
- How to work with percentages greater/bigger than 100%?
- Learn how to work out percentage increases and percentage decreases?
- How to express one quantity as a percentage of another?
- What are compound interest rates?
- How to work out compound interest rates?
- Understand how to set up, solve and interpret the answers in growth and decay problems?
- Step by step tutorials on how to answer practice questions on Percentages?
- Test your knowledge on Percentages GCSE Maths practice questions and exam style questions with answers provided.

- What are ratios?
- Discover how you can use ratios in real life problems/everyday scenarios?
- How to work with and simplify ratios?
- Understand how to express the division of a quantity into two parts as a ratio?
- Learn how to combine two or more ratios together into one ratio?
- How to compare lengths using ratio notation?
- Step by step tutorials on how to answer practice questions on Ratios?
- Test your knowledge on Ratios GCSE Maths practice questions and exam style questions with answers provided.

- What is an index/indices?
- Understand what is the base and power in an index?
- How to work with and simplify indices with positive and negative powers?
- What are the laws of indices?
- Step by step tutorials on how to answer practice questions on Indices?
- Test your knowledge on Indices GCSE Maths practice questions and exam style questions with answers provided.

- What are roots?
- How to work with and simplify indices with positive and negative fractional powers?
- How to work out the root of a fraction, such as the square root and cube root?
- Step by step tutorials on how to answer practice questions on Roots?
- Test your knowledge on Roots GCSE Maths practice questions and exam style questions with answers provided.

- Why we are learning about graphs?
- What are coordinates?
- How to plot coordinates in all four quadrants on a graph?
- Learn how to use the equation of a straight line?
- How to work out the equation of a straight line using two coordinates or a gradient and one coordinate?
- How to plot/draw equations of straight lines on a graph?
- Understand how to use a graph to work out the gradient and y-intercept of a straight line?
- What are parallel lines?
- What are perpendicular lines?
- How to work out whether lines are parallel or perpendicular to each other?
- How to plot/draw quadratic equations on a graph?
- Properties of different functions and how to draw them on a graph, such as linear, quadratic, cubic, exponential and hyperbola?
- What is a turning point?
- Step by step tutorials on how to answer practice questions on Graphs?
- Test your knowledge on Graphs GCSE Maths practice questions and exam style questions with answers provided.

- What are inequalities?
- Learn about the different inequality signs/notations and how to work with them?
- How to rearrange inequalities?
- How to solve inequalities?
- Understand how to plot an inequality on a number line?
- Step by step tutorials on how to answer practice questions on Inequalities?
- Test your knowledge on Inequalities GCSE Maths practice questions and exam style questions with answers provided.

- What is factorising?
- How to expand out algebraic expressions with 1, 2 and 3 pairs of brackets?
- What are quadratic equations/expressions?
- How to factorise algebraic expressions into 1 or 2 pairs of brackets?
- What are roots?
- How to solve quadratic equations plotted/drawn on a graph?
- Understand how to solve quadratic equations by factorising?
- How to solve quadratic inequalities with one variable?
- Step by step tutorials on how to answer practice questions on Factorising?
- Test your knowledge on Factorising GCSE Maths practice questions and exam style questions with answers provided.

- What are simultaneous equations?
- How to solve simultaneous equations?
- Understand how to solve two equations with two variables?
- Step by step tutorials on how to answer practice questions on Simultaneous Equations?
- Test your knowledge on Simultaneous Equations GCSE Maths practice questions and exam style questions with answers provided.

- What are surds?
- How to estimate what value surds approximately equal?
- Understand how to add, subtract, multiply and divide surds?
- How to rationalise the denominator?
- Step by step tutorials on how to answer practice questions on Surds?
- Test your knowledge on Surds GCSE Maths practice questions and exam style questions with answers provided.

- Learn about the different terminology used to describe shapes, such as vertices, corners, sides, edges, angles, interior angles and exterior angles.
- What are polygons?
- Understand the unique properties of different types of polygons, such as triangles, quadrilaterals, pentagons, hexagons, heptagons, octagons, nonagons and decagons.
- What are regular and irregular polygons and their differences?
- Understand the different types of triangles and their unique properties, such as a equilateral, isosceles, scalene and right angled triangle.
- What are congruent triangles?
- Learn how to use the basic congruence criteria for triangles (SSS, SAS, ASA and RHS)?
- What is the difference between acute, obtuse and reflex angles?
- What are acute and obtuse angled triangles?
- Understand the special types of quadrilaterals and their unique properties, such as squares, rectangles, trapeziums, kites, parallelograms and rhombuses.
- Step by step tutorials on how to answer practice questions on Shapes?
- Test your knowledge on Shapes GCSE Maths practice questions and exam style questions with answers provided.

- What are functions?
- How to substitute values into functions?
- What are composite functions?
- What are inverse functions?
- How to work out composite functions?
- How to work out inverse functions?
- How to solve equations using composite and/or inverse functions?
- Step by step tutorials on how to answer practice questions on Functions?
- Test your knowledge on Functions GCSE Maths practice questions and exam style questions with answers provided.

- What are trigonometric functions used for?
- How to draw the graphs for the three trigonometric functions (Sin, Cos and Tan)?
- Explore the helpful symmetrical properties of the trigonometric functions.
- Learn a useful table to help you remember the exact value of the three trigonometric functions at different angles.
- Step by step tutorials on how to answer practice questions on Trigonometric Functions?
- Test your knowledge on Trigonometric Functions GCSE Maths practice questions and exam style questions with answers provided.

- What is the Pythagoras Theorem?
- How to use the Pythagoras Theorem to work out missing side lengths in a triangle?
- What are the three trigonometric ratios (SOH, CAH, TOA)?
- How to use the trigonometric ratios to work out missing side lengths and angles in a triangle?
- What is the Sine rule and Cosine rule?
- How to use the Sine rule and Cosine rule to work out missing side lengths and angles in a triangle?
- How to correctly label a triangle when using the Pythagoras Theorem, trigonometric ratios, Sine rule and Cosine rule?
- Step by step tutorials on how to answer practice questions on Trigonometry?
- Test your knowledge on Trigonometry GCSE Maths practice questions and exam style questions with answers provided.

- Learn about the various circle terminology, such as the circumference, diameter, radius, centre, chord, tangent, sector, arc and segment.
- What is the formula for the circumference and area of a circle?
- How to use a formula to work out the circumference and area of a circle?
- What is pi?
- How to work with pi?
- Step by step tutorials on how to answer practice questions on Circles?
- Test your knowledge on Circles GCSE Maths practice questions and exam style questions with answers provided.

- Understand how to apply and prove different circle theorems involving angles, tangents, chords, radii and use them to prove related results?
- What are cyclical quadrilaterals and non-cyclical quadrilaterals and their differences?
- Step by step tutorials on how to answer practice questions on Circle Theorems?
- Test your knowledge on Circle Theorems GCSE Maths practice questions and exam style questions with answers provided.

- What is the equation of a circle?
- Learn how to use the equation of a circle to work out its centre, radius and diameter?
- How to draw a circle on a graph using its equation?
- Understand how to work out the equation of a tangent to a circle?
- Step by step tutorials on how to answer practice questions on the Equation of a Circle?
- Test your knowledge on the Equation of a Circle GCSE Maths practice questions and exam style questions with answers provided.

- What are dimensions?
- What does 1D, 2D and 3D mean?
- For what shapes/objects can you work out perimeters, areas, surface areas and volumes and what units would they use?
- Learn about the different terminology used for 3D shapes, such as vertices, edges, faces and surfaces?
- What are perimeters?
- Understand how to work out the perimeter for various shapes, such as squares, rectangles, triangles and hexagons?
- What are areas?
- Learn how to work out the area for special types of quadrilaterals, such as squares, rectangles, trapeziums and parallelograms?
- How to work out the area of right angles triangles and non-right angled triangles?
- What are surface areas?
- What is a net for a 3D shape?
- Understand how to work out the surface areas of cubes, cuboids, cylinders, spheres, cones and prisms, such as triangular and right angled prisms?
- What are volumes?
- Understand how to work out volumes of cubes, cuboids, cylinders, spheres, cones and prisms, such as triangular and right angled prisms?
- Step by step tutorials on how to answer practice questions on Perimeters, Areas and Volumes?
- Test your knowledge on the Perimeters, Areas and Volumes GCSE Maths practice questions and exam style questions with answers provided.

- What are sequences?
- What is the nth term in sequences?
- Understand how to work out terms for a sequence using a formula?
- How to work out any term based on their position in the sequence?
- Learn about the different types of sequences and their properties, such as the arithmetic/linear, geometric, quadratic, square, cube, triangular and the Fibonacci sequence.
- How to work out the formula for a arithmetic sequence and quadratic sequence?
- Step by step tutorials on how to answer practice questions on Sequences?
- Test your knowledge on Sequences GCSE Maths practice questions and exam style questions with answers provided.

- What are set notations?
- What are Venn diagrams?
- How to use and interpret Venn diagrams?
- How to work out probabilities using Venn diagrams?
- Step by step tutorials on how to answer practice questions on Venn Diagrams?
- Test your knowledge on Venn Diagrams GCSE Maths practice questions and exam style questions with answers provided.