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Standard Maths

The full MYP 4 and MYP 5 Standard Mathematics course, mapped unit by unit exactly as it is taught, with a note written for every topic.

Written by Fayek · MYP student

2Years
9Units
65Topics
64Notes ready

Year one

MYP 4

Number · Algebra · Coordinate Geometry & Sequences · Geometry · Functions

Unit 1 · Number

7 topics
1.1

Factors, Multiples & Primes

Prime factorisation, HCF and LCM.

Read→ 1.2

Decimals, Rounding & Approximating

Significant figures, decimal places and estimation.

Read→ 1.3

Percentages

Percentage change, increase and decrease.

Read→ 1.4

Laws of Exponents

The index laws, plus zero, negative and fractional powers.

Read→ 1.5

Scientific Notation

Standard form for very large and very small numbers.

Read→ 1.6

Surds

Simplifying surds and rationalising the denominator.

Read→ 1.7

Ratio & Proportion

Sharing in a ratio and direct proportion.

Read→

Unit 2 · Algebra

7 topics
2.1

Collecting Like Terms

Simplifying expressions.

Read→ 2.2

Expanding Brackets

Single and double brackets.

Read→ 2.3

Factorising Linear Expressions

Taking out a common factor.

Read→ 2.4

Changing the Subject

Rearranging formulae.

Read→ 2.5

Solving Linear Equations

Equations with brackets and unknowns on both sides.

Read→ 2.6

Simultaneous Equations

Elimination and substitution methods.

Read→ 2.7

Factorising Quadratics

Factorising and solving simple quadratics.

Read→

Unit 3 · Coordinate Geometry & Sequences

12 topics
3.1

Easier Sequences

Term-to-term rules and continuing patterns.

Read→ 3.2

Nth Term of Arithmetic Sequences

Finding a rule for any term.

Read→ 3.3

Sum of an Arithmetic Sequence

Adding the terms of a sequence.

Read→ 3.4

Midpoint of a Line

The midpoint of two coordinates.

Read→ 3.5

Distance Between Two Points

Using Pythagoras on a coordinate grid.

Read→ 3.6

Gradients

Rise over run and the sign of a slope.

Read→ 3.7

x-y Intercepts

Where a line crosses each axis.

Read→ 3.8

Drawing a Straight Line

Plotting a line from its equation.

Read→ 3.9

Slope Intercept Form

y = mx + c and building the equation.

Read→ 3.10

Relationship Between a Line and its Equation

Testing whether a point lies on a line.

Read→ 3.11

Parallel Lines

Equal gradients.

Read→ 3.12

Perpendicular Lines

Negative-reciprocal gradients.

Read→

Unit 4 · Geometry

6 topics
4.1

Symmetry

Line and rotational symmetry.

Read→ 4.2

Angles: Simple

Angles on a line, at a point and vertically opposite.

Read→ 4.3

Angles in a Triangle & Quadrilateral

Angle sums and missing angles.

Read→ 4.4

Parallel Lines

Corresponding, alternate and co-interior angles.

Read→ 4.5

Interior & Exterior Angles

Angles in polygons.

Read→ 4.6

Scale Diagrams

Scale, bearings and scaled drawings.

Read→

Unit 5 · Functions

4 topics
5.1

Function Notation

Reading and using f(x).

Read→ 5.2

Composite Functions

Applying one function after another.

Read→ 5.3

Inverse Functions

Reversing a function.

Read→ 5.4

Range and Domain

The inputs and outputs a function allows.

Read→

Year two · Exam & eAssessment

MYP 5

Trigonometry & Circles · Sets & Probability · Mensuration & Transformations · Data

Unit 1 · Trigonometry & Circles

4 topics
1.1

Right-Angled Triangles

SOHCAHTOA and Pythagoras.

Read→ 1.2

Non Right-Angled Triangles

The sine and cosine rules.

Read→ 1.3

Graphing Trig Functions

The shapes of sine, cosine and tangent.

Read→ 1.4

Properties of Circles

Arcs, sectors and circle parts.

Read→

Unit 2 · Sets and Probability

6 topics
2.1

Sample Spaces

Listing all possible outcomes.

Read→ 2.2

Simple Probability

Single-event probability.

Read→ 2.3

Tree Diagrams

Probability of combined events.

Read→ 2.4

Set Notation

Union, intersection and complement.

Read→ 2.5

Venn Diagrams

Representing sets and probabilities.

Read→ 2.6

Two Way Tables

Organising data across two categories.

Read→

Unit 3 · Mensuration & Geometric Transformations

14 topics
3.1

Volumes of Cubes and Cuboids

Volume of rectangular solids.

Read→ 3.2

Volume & Surface Area of Prisms

Cross-section method.

Read→ 3.3

Volume & Surface Area of Cylinders

Curved and total surface area.

Read→ 3.4

Volume of a Pyramid, Cone and Sphere

The standard volume formulae.

Read→ 3.5

Surface Area of Cones, Pyramids and Spheres

Slant height and curved areas.

Read→ 3.6

Volume of More Complex Shapes

Compound solids.

Read→ 3.7

Surface Area of More Complex Shapes

Compound surface area.

Read→ 3.8

Proportion

Length, area and volume scale factors.

Read→ 3.9

Translations

Moving a shape by a vector.

Read→ 3.10

Enlargements

Scale factor and centre of enlargement.

Read→ 3.11

Rotation

Angle, direction and centre of rotation.

Read→ 3.12

Reflection

Reflecting in a mirror line.

Read→ 3.13

Combining Transformations

Sequences of transformations.

Read→ 3.14

Constructions

Compass-and-ruler constructions.

Read→

Unit 4 · Data

4 ready
4.1

Sampling Techniques

Random, systematic and stratified sampling.

Read→ 4.2

Univariate Data

Averages and spread for one variable.

Read→ 4.3

Representing Data

Charts, histograms and frequency diagrams.

Read→ 4.4

Bivariate Data: Correlation

Scatter graphs and lines of best fit.

Read→ 4.5

Fifth topic to confirm

Your syllabus lists 5 topics here but only 4 were visible. Tell me the 5th and I'll add it.

To confirm