Mathematics 1 for the TMUA
Core mathematics: number, algebra, ratio, and the foundations you are expected to be fluent in.
76 topics across 7 areas. Every topic below is a full lesson with worked examples.
Algebra
- Algebraic Notation And Conventions
- Algebraic Index Laws
- Algebraic Vocabulary And Substitution
- Algebra Collecting Like Terms And Expanding Brackets
- Factorising Quadratic Expressions
- Simplifying And Operating On Rational Expressions
- Rearranging Formulae To Change The Subject
- Equations And Identities
- Working With Coordinates In All Four Quadrants
- Linear Functions Gradients And Line Equations
- Roots Intercepts And Turning Points Of Quadratic Functions
- Recognising And Sketching Graphs
- Interpreting Graphs In Real Contexts
- Gradients And Areas Under Graphs
- Solving Linear And Quadratic Simultaneous Equations
- Solving Quadratic Equations
- Solving Linear Inequalities
- Generating Sequence Terms
- Nth Term Of Linear And Quadratic Sequences
Geometry
- Geometric Terms And Notation
- Angle Properties And Polygons
- Geometry Triangles Quadrilaterals
- Triangle Congruence Criteria
- Angle Facts Congruence Similarity
- Geometry Congruence Similarity Transformations
- Pythagoras Theorem 2d 3d
- Circle Terms Equations And Theorems
- Circle Theorems Angles Chords Tangents
- Coordinate Geometry Lines Circles
- Geometry Of Solids Faces Edges Vertices
- Interpreting Plans And Elevations
- Maps Scale Drawings And Bearings
- Area And Volume Of Prisms
- Geometry Formulae Circles Cylinders Composites
- Radian Measure Arc Length Sector Area
- Cong R U E N C E A N D S I M I L A R I T Y R E L A T I O N S H I P S
- Trigonometric Ratios And Exact Values
- Vectors Representations And Geometric Proofs
Number
- Ordering Integers Decimals And Fractions
- Arithmetic Operations On Numbers And Place Value
- Prime Factorisation Factors And Multiples
- Relationships Between Operations And Priority
- Systematic Listing Strategies
- Squares Square Roots Cubes And Cube Roots
- Simplifying Numerical Expressions Using Index Laws
- Standard Index Form Calculations
- Converting Decimals Percentages And Fractions
- Interchanging Fractions Decimals Percentages
- Calculating Exactly Fractions Surds Pi
- Upper And Lower Bounds
- Rounding Measures And Error Intervals
- Approximation And Estimation Of Calculations
Probability
Ratio and proportion
- Scale Factors Scale Diagrams And Maps
- Expressing Quantities As Fractions
- Ratio Notation And Simplification
- Dividing Quantities In Ratios
- Applying Ratio To Real Contexts
- Proportion Ratios And Linear Functions
- Fractions In Ratio Problems
- Percentages Percentage Change And Interest
- Direct And Inverse Proportion Algebraic Representations
- Similarity And Ratios Of Length Area And Volume
- Growth Decay And Iterative Processes