# what are the topic list for mathematics unit 3 (edexcel) calculator paper nd the topic list for non-calculator paper?

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Seperate topic list for calc paper and non-calc paper, so I no wat to revise before each exam.

## 2 Answers

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GCSE MATHS UNIT 3 TOPIC LIST (EDEXCEL HIGHER)

- Fractions: Multiplication and division

Convert a fraction to a decimal, or a decimal to a fraction

Find the reciprocal of whole numbers, fractions, and decimals

Multiply and divide a fraction by an integer and by a unit fraction

Convert a fraction to a recurring decimal (and visa versa)

Use fractions in contextualised problems

- 2-D shapes

Construct:An equilateral triangle with a given side, the mid-point and perpendicular bisector of a line segment, The perpendicular from a point on a line, the bisector of an angle

etc

- Percentages

Find a percentage increase/decrease of an amount

Find a reverse percentage, e.g. find the original cost of an item given the cost after a 10% deduction

Use a multiplier to increase by a given percent, e.g. 1.1 ´ 64 increases 64 by 10%

Calculate simple and compound interest for two, or more, periods of time

- 3-D shapes

Draw and interpret plans and elevations, draw planes of symmetry in 3-D shapes

Recognise and name examples of solids, including prisms, in the real world

- Solving linear equations

Solve linear equations with one, or more, operations (including fractional coefficients and single pair of brackets)

- Formulae

Substitute positive and negative numbers into algebraic formulae involving powers

Change the subject of a formula,

generate a formula from given information, e.g. find the formula for the perimeter of a rectangle given…

- Circle theorems

Understand, prove and use circle theorems

Use circle theorems to find unknown angles and explain their method- quoting the appropriate theorem(s)

- Linear functions

y = mx + c

Plot points for linear functions, Interpret m and c as gradient and y-intercept in linear functions

Understand that the graphs of linear functions are parallel if they have the same value of m

Know that the line perpendicular to y = mx + c has gradient -1/m

Understand linear functions in practical problems, e.g. distance-time graphs

- Similar shapes

Use integer and non-integer scale factors to find the length of a missing side in each of two similar shapes, given the lengths of a pair of corresponding sides, know the relationship between linear, area and volume scale factors of similar shapes, prove formally that two triangles are congruent

- Perimeter and area of circles

Find the perimeter and area of shapes made up from triangles, rectangles and parts of circles

Use and recall formulae to calculate perimeters and areas of circles, and parts of circles

- Ratio and scale

Divide quantities in a given ratio, e.g. divide £20 in the ratio 2:3

Work out the distance on a map for a given real distance and scale

- Direct and inverse proportion

Interpret direct and inverse proportions as algebraic functions, e.g. y µ x2 as y = kx2

Recognise and sketch the graphs for direct and inverse proportions (y µ x, y µ x2, y µ x3, y µ 1/x, y µ 1/x2)

- Simultaneous equations

Solve algebraically two simultaneous equations

Interpret the solution of two simultaneous equations as the point of intersection the corresponding lines

Find exact solutions and graphically the approximate solutions of linear and quadratic simultaneous equations

- Index notation

Use index rules to simplify and calculate numerical expressions involving powers,

Rationalise the denominator of fractions, e.g. 1/Ö3 = Ö3/3,

- Standard form

Convert numbers to, and from, standard form

Calculate with numbers given in standard form with, and without, a calculator

- Inequalities

Rearrange and solve linear inequalities in one variable and show the solution set on a number line, or to write down all the integer solutions.

Draw the graphs of linear inequalities in two variables and interpret the solution sets given by regions in the coordinate plane, or to identify all the integer coordinates with crosses

- Quadratic functions

Find graphically the solutions of quadratic equations, solve quadratic equations by factorising, use the quadratic formula to solve quadratic equations, use the quadratic formula to solve quadratic equations leaving the answer in surd form, complete the square of a quadratic function (using this to write down the max/min of the function)

- Trial and improvement

Solve cubic functions by successive substitution of values of x

- Transformations

Understand translation as a combination of a horizontal and vertical shift including signs for directions

Understand rotation as a (clockwise) turn about a given origin

Reflect shapes in a given mirror line; Enlarge shapes by a given scale factor from a given point; using positive and negative scale factors greater and less than one

- Surface area and volume

Find the surface area and the volume of more complex Understand formulae for perimeters, areas and volumes by their dimensions, know that e.g. 4pr2 cannot represent the volume of a sphere

- Sine, cosine and tangent

Use trigonometric rati