GCSE MATHEMATICS GRADE DESCRIPTORS 2016 ONWARDS. GRADE Content Area Video #

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1 GRADE Content Area Video # 8 / 9 7 Fractional Upper and Lower Bounds Surds - Introduction to Surds Surds - Surd Expressions Surds - nalising the Denominator Perpendicular Lines Completing the Square - Basics Completing the Square - Solving Completing the Square - Sketching ic Fractions - Simplifying ic Fractions - Solving Simultaneous Equations with a Quadratic Solve Quadratic Inequalites Finding the nth Term of a Quadratic Inverse Functions - Introduction Inverse Functions - Harder Questions Composite Functions Veocity-Time Graphs Pythagoras in 3D Trigonometry in 3D Vectors a 207b 207c a 209b 209c 210a 210b a 214b Indices 188 Recurring Decimals - Proof 189 Rearranging difficult Formulae 190 Solving Quadratics with the Formula 191 Factorising Hard Quadratics 192 ic Proof 193 Exponential Functions 194 Trigonometric Graphs - Sine and Cosine 195a Trigonometric Graphs - Tangent 195b Transformation of Functions - Polynomial Functions 196a Transformation of Functions - Trigonometric Functions 196b Equation of a Circle 197 Regions 198 Direct and Inverse Proportion 199 Similarity - Area and Volume 200 The Sine Rule 201 The Cosine Rule 202 Area of a Triangle Using Sine 203 And and Or Questions 204 Histograms 205

2 6 Recurring 5 Negative Decimals to Fractions Product of Three Binomials Iteration - Trial and Improvement Iterative Processes Enlargement - Negative Scale Factor - Using Construction Lines Enlargement - Negative Scale Factor - Using Column Vectors Combinations of Transformations Circle Theorems Proof of Circle Theorems using Venn Diagrams Cumulative Frequency Boxplots Indices Error Intervals Mathematical Reasoning Factorising and Solving Quadratics The Difference of Two Squares Finding the Equation of a Straight Line - y=mx+c Finding the Equation of a Straight Line - Gradient and Coordinates Roots and Turning Points of Quadratics Cubic and Reciprocal Graphs Simultaneous Equations ically Geometric Progressions Compound Interest and Depreciation Loci Congruent triangles Sectors of a Circle Trigonometry Spheres Pyramids Cones Frustums Exact Trigonometric Values Introduction to Vectors Harder Tree Diagrams a 181b a 159b Stratified sampling 176

3 4 Index Notation Introduction to Bounds Midpoint of a Line on a Graph Expanding and Simplifying Brackets - Single Set of Brackets Expanding and Simplifying Brackets - Double Set of Brackets Solving Equations - Balancing Solving Equations - Float & Ping Rearranging Simple Formulae Forming Formulae and Equations Inequalities on a Line Solve Linear Inequalities Simultaneous Equations Graphically Fibonacci Sequences Compound Units Distance-Time Graphs Similar Shapes Bisecting an Angle Constructing Perpendiculars - Bisecting a Line Constructing Perpendiculars - From any Point Draw a Triangle Using Compasses Enlargements Tangents, Arcs, Sectors and Segments Pythagoras' Theorem - A Simple Approach Pythagoras' Theorem - An ic Approach Pythagoras' Theorem - Line on a Graph Simple Tree Diagrams Sampling Populations a 134b 135a 135b a 146b a 150b 150c Time Series 153

4 3 Multiplying Decimals Dividing Decimals Four Rules of Negatives - Adding and Subtracting Four Rules of Negatives - Multiplying and Dividing Listing Strategies Comparing Fractions Adding and Subtracting Fractions - A Standard Method Adding and Subtracting Fractions - An Alternative Method Finding a Fraction of an Amount Multiplying Fractions Dividing Fractions BODMAS/BIDMAS Reciprocals Calculator Questions Product of Primes Highest Common Factor (HCF) Lowest Common Multiple (LCM) Squares, Cubes and Roots Working with Indices Standard Form Decimals and Fractions Fractions, Percentages, Decimals Percentage of an Amount (Calc.) Percentage of an Amount (Non-Calc.) Change to a Percentage (Calc.) Change to a Percentage (Non-Calc.) Rounding to Significant Figures Estimating Answers Using Place Value Expanding Brackets Simple Factorisation Substitution Straight Line Graphs The Gradient of a Line Drawing Quadratic Graphs Sketching Functions Solving Equations using Flowcharts Subject of a Formula using Flowcharts Generating a Sequence from the nth Term Finding the nth Term Special Sequences Exchanging Money Sharing using s, Fractions and Graphs a 68b a 71b

5 3 Increase/Decrease by a Percentage Percentage Change Reverse Percentage Problems Simple Interest Metric conversions Problems on Coordinate Axes Surface Area of a Prism - Cuboids Surface Area of a Prism - Triangular Prisms Volume of a Cuboid Circle Definitions Area of a Circle Circumference of a Circle Volume of a Prism Angles and Parallel Lines Angles in a Triangle Properties of Special Triangles Angle Sum of Polygons Bearings Experimental Probabilities Possibility Spaces Venn Diagrams - Introduction Venn Diagrams - Notation Pie Charts Scatter Diagrams Averages from a table - Basics a 114b a 127b a Averages from a table - Estimate for the Mean 130b

6 2 Adding Integers and Decimals Subtracting Integers and Decimals Multiplying Integers Dividing Integers Inverse Operations Money Questions - Non-Calculator Questions Money Questions - Calculator Questions Negatives in Real Life Introduction to Fractions Equivalent Fractions Simplifying Fractions Half-Way Values Factors, Multiples and Primes Introduction to Powers/Indices Multiplying and Dividing by Powers of 10 Rounding to the Nearest 10, 100, 1000 Rounding to Decimal places Simplifying - Addition and Subtraction Simplifying - Multiplication Simplifying - Division Function Machines Generating a Sequence - Term to Term Introduction to Using for Recipe Questions Introduction to Percentages Value for Money Simple Proportion Properties of Solids Nets Angles on a Line and at a Point Measuring and drawing Angles - Measuring Measuring and drawing Angles - Drawing Drawing a Triangle Using a Protractor Reflections Rotations Translations Plans and Elevations Perimeters Area of a Rectangle Area of a Triangle Area of a Parallelogram Area of a Trapezium Frequency Trees Listing Outcomes a 22b a 46b

7 2 Calculating Probabilities Mutually Exclusive Events Two-Way Tables Averages and the Range Data - Discrete and Continuous Vertical Line Charts Place Frequency Tables and Diagrams Value Ordering Integers Ordering Decimals Reading Scales Simple Mathematical Notation Interpreting Real-Life Tables - Time Interpreting Real-Life Tables - Timetables and Distance Tables Introduction to ic Conventions Coordinates Simple Geometric Definitions Polygons Symmetries Tessellations and Congruency - Tessellations Tessellations and Congruency - Congruent Shapes Names of Angles The Scale Tally Charts and Bar Charts Pictograms a 6b a 12b

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