# Year 10 Maths

The tables below detail the individual topics studied throughout the year at each of the three tiers: Higher, Intermediate and Foundation. In the right hand column, links are provided to video tutorials on each of these topics. Some topics have more than one video so please ensure you watch them all if you are having difficulties with a particular topic.

Special thanks to CorbettMaths for the video tutorials.

#### Higher

 Term Topic Video Link(s) Term 1 Adding, Subtracting, Multiplying & Dividing Decimals 90, 91, 94, 93 Dividing a Decimal by a Decimal 92 Converting Between Fractions and Decimals 123, 124, 127, 128 Comparing & Simplifying Fractions Finding a Fraction of an Amount 137 Recurring Decimals 96 Improper Fractions & Mixed Numbers Adding & Subtracting Fractions and Mixed Numbers Multiplying & Dividing Fractions and Mixed Numbers Converting Decimals & Fractions to Percentages Finding a Percentage of an Amount Expressing as a Percentage 237 Percentage Change (Increase, Decrease, Profit, Loss) 233 Simple & Compound Interest 236 Household Bills, Bank Statements & Income Tax Factors, Multiples & Prime Numbers Lowest Common Multiple & Highest Common Factor Indices Reciprocals 145 BIDMAS 211 Four Operations with Negative Numbers Binary 398 Simplifying Ratio 269 Dividing in a Ratio 270 Direct Proportion, Exchange Rates & Best Buys Rounding to Decimal Places & Significant Figures Estimation 215 Questionnaires 268 Frequency Trees & Venn Diagrams Pictograms & Bar Charts Pie Charts Stem & Leaf Diagrams & Line Graphs Two Way Tables 319 Scatter Diagrams Mean, Mode, Median & Range from a Frequency Table 54, 51 Mean, Mode, Median & Range from a Grouped Frequency Table 55, 52 2D & 3D Shapes, Nets 1, 2, 3, 4, 5 Plans & Elevations 354 Basic Angle Rules 34, 35, 30, 39 Angles in Triangles, Quadrilaterals & Parallel Lines 37, 33, 25 Angles in Polygons 32 Term 2 Bearings 26, 27, 27a Time Calculations 322 Metric & Imperial Units 347 Converting Between Metric Units of Length, Mass & Capacity Scale Drawings 283 Reading Scales 284 Perimeter 241 Area 45, 49, 44, 48 Volume of Cubes, Cuboids & Prisms Circles - Parts of a Circle, Circumference & Area 61, 60, 59 Volume of a Cylinder 357 Constructing Triangles 81, 82, 83 Special Constructions 72, 78, 79, 80 Loci 75 Speed, Distance, Time (S-D-T) 299 Density, Mass, Volume (D-M-V) 384 Pressure, Force, Area (P-F-A) 385 Symmetry & Reflections 316, 272, 273, 274 Rotations 275 Translations Enlargements Similar Shapes Similar Area & Volume Substitution 20 Simplifying Expressions 9 Expanding Brackets 13, 14 Factorisation 117 Solving Equations Term 3 Linear Sequences nth Term for a Linear Sequence 288 Trial & Improvement 116 Inequalities on a Number Line Solving Inequalities 178 Plotting Straight Line Graphs 186 Gradient of a Straight Line 189 Equation of a Straight Line 191 Mid Point & Length of a Straight Line 87, 88 Plotting Quadratic Graphs 264 Solving Simultaneous Equations Graphically 297 Conversion Graphs Distance-Time Graphs 171 Pythagoras' Theorem 257 Probability 251, 245, 250, 246

#### Intermediate

 Term Topic Video Link(s) Term 1 Factors, Multiples & Prime Numbers Squares & Square Roots Cubes & Cube Roots Product of Prime Factors 223 Lowest Common Multiple & Highest Common Factor Four Operations with Whole Numbers 6, 304, 200, 98 Four Operations with Negative Numbers BIDMAS 211 Adding, Subtracting, Multiplying & Dividing Decimals 90, 91, 94, 93 Dividing a Decimal by a Decimal 92 Rounding to Nearest 10, 100, 1000, Whole No Rounding to Decimal Places & Significant Figures Estimation & Estimating Square Roots 215 Equivalent Fractions & Simplifying Fractions Finding a Fraction of an Amount 137 Adding & Subtracting Fractions and Mixed Numbers Multiplying & Dividing Fractions and Mixed Numbers Finding a Percentage of an Amount Expressing as a Percentage 237 Percentage Change (Increase, Decrease, Profit, Loss) 233 Simple Interest 236 Rules of Indices Expanding Brackets 13, 14 Factorisation 117 Solving Equations 110 Term 2 Graphs - Vertical and Horizontal Lines Plotting Straight Line Graphs 186 Gradient & y-intercept of a Straight Line 189 Angles in Polygons 32 Reflections Rotations 275 Translations Converting Between Metric Units of Length, Mass & Capacity Metric & Imperial Units 347 Mean, Mode, Median & Range from a List 53, 56, 50, 57 Mean, Mode, Median & Range from a Frequency Table 54, 51 Pie Charts Line Graphs 160 Stem & Leaf Diagrams Two Way Tables 319 Scatter Diagrams Correlation & Line of Best Fit Frequency Polygons Term 3 Venn Diagrams 380 Basic Probability 251, 245, 250, 246 Relative Frequency 248 Product Rule 383

#### Foundation

 Term Topic Video Link(s) Term 1 Squares & Square Roots Cubes & Cube Roots Long Multiplication & Division Multiplying & Dividing Decimals by Whole Numbers 94, 93 Dividing a Decimal by a Decimal 92 Rounding to Decimal Places & Significant Figures Adding & Subtracting Fractions and Mixed Numbers Multiplying & Dividing Fractions Improper Fractions & Mixed Numbers Expressing as a Percentage 237 Increasing or Decreasing by a Percentage 238 Converting Decimals to Percentages 125 Converting Fractions to Percentages 126 Simplifying Ratio 269 Dividing in a Ratio 270 Expanding Brackets 13 Expanding Double Brackets 14 Factorisation 117 Solving Simple Equations 110 Term 2 Plotting Coordinates 84 Conversion Graphs Distance-Time Graphs 171 Basic Angle Rules 34, 35, 30, 39 Angles in Triangles, Quadrilaterals & Parallel Lines 37, 33, 25 Types of Triangle 327 Parts of the Circle 61 3D Shapes 3 Nets of 3D Shapes 4 Types of Quadrilateral 2 Plans & Elevations 354 Perimeter 241 Area of Rectangles, Triangles & Compound Shapes 45, 49, 41 Term 3 Metric & Imperial Units 347 Time Calculations 322 Timetables 320 Questionnaires 268 Pictograms & Bar Charts Pie Charts

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