这里为GCSE数学通配版数学知识点笔记
Number
a. Four Operations
b. Factors, Multiples and Primes
c. Systematic Listing
d. Powers, Roots and Fractional Indices
e. Exact Values and Surds
f. Standard Form
g. Terminating and Recurring Decimals
h. Ratio Problems
i. Fractional and Percentage Operators
j. Estimation and Approximation
k. Rounding and Limits of Accuracy
Ratio, Proportion and Rates of Change
a. Standard and Compound Units
b. Scale Factors and Scale Diagrams
c. Ratio
d. Interpreting Percentages
e. Percentage Change
f. Simple Interest
g. Direct and Inverse Proportion
h. Ratio and Similar Shapes
i. Interpreting Gradients_2
j. Compound Growth and Decay
k. General Iterative Processes (H)
Probability
a. Tables of Outcomes and Frequency Trees
b. Expected Outcomes, Frequency and Theoretical Probability
c. Exhausative and Mutually Exclusive Events
d. Samples
e. Enumeration, Venn Diagrams, Tree Diagrams and Tables
f. Sample Spaces
g. Independent and Dependent Events
h. Conditional Probability (H)
Algebra
Notation, Vocabulary and Manipulation
a. Notation and Vocabulary
b. Collecting Like Terms
c. Expanding Brackets
d. Factorising Linear and Quadratic Expressions
e. Laws of Indices
f. Simplifying Expressions
g. Expressions Involving Surds and Algebraic Fractions
h. Rearranging Formulae
i. Equivalent Algebraic Expressions
j. Functions
Solving Equations and Inequalities
a. Solving Linear Equations
b. Solving Quadratic Equations
c. Simultaneous Equations
d. Numerical Iteration (H)
e. Forming and Solving Equations
f. Solving Linear Inequalities
g. Solving Quadratic Inequalities (H)
Graphs
a. Straight Line Graphs
b. Roots, Intercepts and Turning Points
c. Completing the Square (H)
d. Sketching Graphs - Linear, Quadratic, Cubic and Reciprocal
e. Sketching Graphs - Exponential and Trigonometric (H)
f. Translations and Reflections
g. Gradients and Areas of Graphs in Context (H)
h. Equations of a Circle and its Tangent
Sequences
a. Generating a Sequence
b. Common Sequences
c. Nth Term
Geometry and Measures
Properties and Constructions
a. Vocabulary and Notation
b. Constructions
c. Properties of Angles
d. Properties of Triangles and Quadrilaterals
e. Congruent triangles
f. Rotation, Reflection, Translation and Enlargement
g. Properties of Circles
h. Circle Theorems
i. Faces, Surfaces, Edges and Vertices
j. Plans and Elevations
Vectors
a. Translations as 2D Vectors
b. Vector Operations
c. Geometric Arguments and Proof (H)
Mensuration and Calculation
a. Units of Measure
b. Measuring Lines, Angles and Bearings
c. Area and Perimeter of 2D Shapes
d. Volume of 3D Shapes
e. Surface Area of 3D Shapes
f. Arc Length and Area of Sector
g. Congruence - Lengths, Areas and Volumes
h. Pythagoras' Theorem
i. Trigonometric Ratios and Exact Trigonometric Values
j. Sine and Cosine Rules and Area of a Triangle
Statistics
a. Sampling
b. Tables, Charts and Diagrams
c. Grouped Discrete and Continuous Data (H)
d. Graphical Representation of Distributions
e. Measures of Central Tendency
f. Populations
g. Scatter Graphs |
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发表于 2022-10-3 20:38:00