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31.12.2020
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Current lesson 2 Directed numbers: addition and subtraction. Directed numbers: addition and subtraction. Directed numbers: multiplication and division. Using decimals � shopping problems. Adding decimals with a equations for maths gcse aqa 65 number of decimal plac�. Subtracting decimals with a different number of places. Multiplying decimals by whole numbers. Equtions of decimals by decimals dquations two decimal p�. Dividing decimal fractions by whole numbers.

Dividing numbers by a gcs fraction. Comparing and ordering fractions. Finding equivalent fractions. Reducing fractions to equations for maths gcse aqa 65 equivalent form. Adding and subtracting fractions with different denomin�. Multiples and factors of forr numbers. Adding indices when multiplying terms with the same bas�. Subtracting indices when dividing terms with the same b�.

Calculating Percentages and Fractions of Quantities. Changing fractions and decimals equations for maths gcse aqa 65 percentages using te�. Changing percentages to fractions and decimals. Finding the area of a triangle and other composite shap�. Finding the volume of prisms. Using the prefix to determine polygons. Recognise and name prisms according to spatial properti�.

Recognise and name pyramids according to spatial proper�. Recognise nets for prisms, pyramids, cubes and equation. Complementary and supplementary angles. Constructions and loci � single condition. Recognise and name triangles. Spatial properties of quadrilaterals. Transformations � reflections. Special transformations � reflections, rotations and en�.

Simplifying algebraic expressions: adding like terms. Simplifying algebraic Expressions: subtracting like ter�. Simplifying Algebraic expressions: combining addition a�. Simplifying algebraic expressions: multiplication. Simplifying algebraic expressions: division. Expanding algebraic expressions: multiplication. Expanding and simplifying algebraic expressions. Solving equations containing addition and subtraction. Solving equations containing multiplication and divisio�.

Common factor and the difference of two squares. Substitution into algebraic expressions. Frequency distribution table. Probability of Simple Events.

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Refer to the Subject content section to determine the tier at which these formulae could be used. The solutions of , where. Where is the radius and is the diameter:. In any right-angled triangle where , and are lengths of the sides and is the hypotenuse:. In any triangle where , and are lengths of the sides:.

Students are expected to know the following formulae or be able to derive them; they will not be given in the exam. Where and are the lengths of the parallel sides and is their perpendicular separation:. Practice solving equations questions. Solving equations GCSE questions. Solving equations worksheets. Learning checklist. Next lessons. Still stuck? In order to access this I need to be confident with: Factorising Factorising quadratics Expanding brackets Simplifying algebraic expressions.

This topic is relevant for:. How to solve equations In order to solve equations, we need to work out the value of the unknown variable by adding, subtracting, multiplying or dividing both sides of the equation by the same value.

Solving equations methods Within solving equations, you will find lessons on linear equations and quadratic equations. Linear equations There are 5 main types of linear equations we can solve. Example of solving an equation with: One unknown 2 Unknown on both sides 3 With brackets 4 With fractions 5 Powers exponents and roots We can check that our solution is correct by substituting it into the original equation.

Quadratic equations There are 4 main ways to solve quadratic equations. Show answer. Learning checklist Use algebraic methods to solve linear equations Solve quadratic equations algebraically by factorising Solve quadratic equations algebraically by completing the square H Solve quadratic equations algebraically by using the quadratic formula H Solve quadratic equations by finding approximate solutions using a graph.

The next lessons are Linear equations Solving quadratic equations Solving quadratic equations by factorising Solving quadratic equations with the quadratic formula Solving quadratic equations by completing the square Simultaneous equations. A step by step introduction to solving equations, including those with brackets, with some simple exercises. There are three levels of demand.

A comprehensive set of links to TES resources on solving equations. You will need to register for a TES account to access this resource, this is free of charge. A nice starter or plenary activity which involves forming and solving an equation with the variable on both sides.

A visual problem which involves the ideas of forming and solving equations, using symbols rather than letters. An activity in which students consider how to find the original number given a final value and a given sequence of operations.





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