United States Course Outline Kindergarten 3 Grade 1 4 Grade 2 5 Grade 3 6 Grade 4 8 Grade 5 10 Grade 6 12 Grade 7 14 Grade 8 16 Grade 9 18 Grade 10 20 Grade 11 24 Grade 12 26 Contents Page 2 Sorting/Naming Shapes, Objects Measurement and Money Same and Different Compare Length Sort It Balancing Act Collect Simple Shapes Which Holds More? Match the Solid 1 Hot or Cold? Pennies, Nickels, and Dimes Getting Ready to Add, Subtract Knowing Numbers and Patterns Make Numbers Count Complete the Pattern Order Numbers to 20 How Many? Compare Numbers to 20 Ordinal Numbers Model Addition Order Numbers to 10 Model Subtraction More or Less? Kindergarten Page 3 Addition and Subtraction Geometry and Measurement Model Addition Count Sides and Corners Model Subtraction Match the Solid 2 Complete the Pattern Symmetry Compare Length Balancing Act Which Holds More? Addition, Subtraction, Time Numbers to 100, Money, Fractions Addition facts to 18 Count by Tens Subtraction facts to 18 Make Big Numbers Count Basic Fact Families Compare Numbers to 100 Make Graphs Count Money Tell Time to the Hour Fractions Tell Time to the Half Hour Grade 1 Page 4 Modelling Numbers Addition and Subtraction Count Forwards Patterns Basic Fact Families Count Backwards Patterns Add Two 2-Digit Numbers Count by Twos Add Numbers: Regroup a Ten Count by Tens Subtract Numbers Count by Fives Subtract Numbers: Regroup Make Big Numbers Count Add and Subtract using Graphs Model Numbers Compare Numbers to 100 Measurement and Money Geometry, Fractions, Mult/Div Five Minute Times Relate Shapes and Solids Count More Money Symmetry Inches, Feet, Yards Model fractions Ounces and Pounds Groups of Three Cups, Pints, Quarts, Gallons Groups of four Groups of Five Divide into Equal Groups Grade 2 Page 5 Whole Numbers Add Whole Numbers Place Value to the Thousands Add to 10 Numbers from Words to Digits 1 Add to 18 Number Lines Commutative Property of Addition Which is Greater? Add Three 1-Digit Numbers Which is Less? Add Two 2-Digit Numbers Put in Order 1 Add Two 2-Digit Numbers: Regroup Nearest Ten? Add Three 2-Digit Numbers Nearest Hundred? Add Three 2-Digit Numbers: Regroup Nearest Thousand? Add 3-Digit Numbers Increasing Patterns Add 3-Digit Numbers: Regroup Odd and Even Numbers 1 Add Three 3-Digit Numbers: Regroup Add Multi-Digit Numbers 1 Estimate Sums Measurement What is the Time? Temperature Decimals Customary Units of Length Decimals on the Number Line Customary Units of Capacity Decimals from Words to Digits 1 Customary Units of Weight 1 Decimal Order 1 How Long is That (Customary)? Comparing Decimals 1 Perimeter: Triangles 1 Money Area of Shapes Add Decimals 1 Subtract Decimals 1 Fractions What Fraction Is Shaded? Data, Probability, Statistics Fractions of a Collection Mean Shading Equivalent Fractions Median Comparing Fractions 1 Pictographs Add Like Fractions Bar Graphs 1 Subtract Like Fractions Line Graphs: Interpretation What Are the Chances? Geometry What line am I? Subtract Whole Numbers Right Angle Relation Fact Families: Add and Subtract Collect the Polygons Missing Numbers Collect the Shapes 1 2-Digit Differences Identify Parts of Circles 1 2-Digit Differences: Regroup Congruent Figures 3-Digit Differences Collect the Objects 1 Estimate Differences Symmetry or Not? Decreasing Patterns Grade 3 Page 6 Divide Whole Numbers Multiply Whole Numbers Dividing Twos Groups of Five Dividing Fives Groups of Ten Dividing Threes Groups of Two Dividing Fours Groups of Three Dividing Sixes Groups of Four Dividing Sevens Groups of Six Dividing Eights Groups of Seven Dividing Nines Groups of Eight Divide: 1-Digit Divisor 1 Groups of Nine Multiply Multiples of 10 Multiply: 2-Digit by 1-Digit Grade 3 Page 7 Whole Numbers Fractions and Percents Place Value to Millions Add Like Fractions Numbers from Words to Digits 2 Add Like Mixed Numbers Greater Than or Less Than? Subtract Like Fractions Put in Order 2 Subtract Like Mixed Numbers Rounding Numbers Ratios Odd and Even Numbers 1 Rates Percents to Fractions Percents to Decimals Add and Subtract Whole Numbers Add Two 2-Digit Numbers: Regroup Add Three 2-Digit Numbers: Regroup Data Analysis and Measurement Add Three 3-Digit Numbers: Regroup Pictographs Add Multi-Digit Numbers 2 Mean Estimate Sums Median Strategies for Column Addition Bar Graphs 1 Fact Families: Add and Subtract Circle Graphs 2-Digit Differences Line Graphs: Interpretation 2-Digit Differences: Regroup Possible Outcomes 3-Digit Differences: 1 Regroupings What Are the Chances? 3-Digit Differences: 2 Regroupings Find the Probability 3-Digit Differences with Zeros Estimate Differences Divide Whole Numbers Dividing Fives Multiply Whole Numbers Dividing Twos Groups of Three Dividing Threes Groups of Five Dividing Fours Groups of Ten Dividing Sixes Groups of Four Dividing Sevens Groups of Six Dividing Eights Groups of Seven Dividing Nines Groups of Eight Divide: 1-Digit Divisor 1 Groups of Nine Divide: 1-Digit Divisor 2 Multiplication Properties Divide: 1-Digit Divisor, Remainder Multiply: 1-Digit Number Estimate Quotients Multiply: 1-Digit Number,Regroup Multiply More Multiples of 10 Multiply: 2-Digit Number, Regroup Estimate Products Grade 4 Page 8 Geometry Measurement What Line am I? What is the Time? What Type of Angle? Temperature Collect the Polygons Customary Units of Length Collect the Shapes 2 Customary Units of Capacity Triangles: Acute, Right, Obtuse Customary Units of Weight 1 Identify Parts of Circles 1 Measure to the Nearest Half Inch Collect the Objects 1 Perimeter Congruent Figures Area: Squares and Rectangles Symmetry or Not? Transformations Number Theory Decimals What Fraction is Shaded? Decimals from Words to Digits 2 Fractions of a Collection Comparing Decimals 1 Factors Decimal Order 1 Greatest Common Factor Rounding Decimals 1 Prime or Composite? Nearest Whole Number Shading Equivalent Fractions Add Decimals 1 Equivalent Fractions Add Decimals 2 Simplifying Fractions Estimate Decimal Sums 2 Comparing Fractions 1 Subtract Decimals 1 Ordering Fractions Subtract Decimals 2 Improper to Mixed Estimate Decimal Differences 2 Money Making Change Grade 4 Page 9 Whole Numbers and Decimals Add/Subtract Whole Numbers/Decimals Addition Properties Add Two 2-Digit Numbers: Regroup Fact Families: Add and Subtract Add Three 2-Digit Numbers: Regroup Numbers from Words to Digits 3 Add 3-Digit Numbers: Regroup Place Value to Billions Add Multi-Digit Numbers 2 Comparing Numbers 2-Digit Differences: Regroup Put in Order 2 3-Digit Differences: 1 Regroupings Rounding Numbers 3-Digit Differences: 2 Regroupings Decimals from Words to Digits 2 3-Digit Differences with Zeros Comparing Decimals 2 Add Decimals 1 Decimal Order 2 Add Decimals 2 Rounding Decimals 1 Estimate Decimal Sums 1 Rounding Decimals 2 Subtract Decimals 1 Subtract Decimals 2 Estimate Decimals Differences 1 Number Theory Factors Prime or Composite? Multiply/Divide Whole Number/Decimal Prime Factorisation Multiply: 1-Digit Number, Regroup Greatest Common Factor Multiply More Multiples of 10 Multiples Multiply: 2-Digit Number, Regroup Least Common Multiple Divide: 1-Digit Divisor 1 What Fraction is Shaded? Divide: 1-Digit Divisor 2 Fractions of a Collection Compatible Numbers Equivalent Fractions Divide: 2-Digit Divisor, Remainder Simplifying Fractions Decimal by Whole Number Comparing Fractions 2 Multiply Decimals and Powers of 10 Ordering Fractions Decimal by Decimal Mixed to Improper Divide Decimal by Whole Number Improper to Mixed Divide Decimal by Decimal Estimate Decimal Operations Add and Subtract Fractions Add Like Fractions Multiply Fractions Add Unlike Fractions Multiply: Whole Number and Fraction Add Like Mixed Numbers Multiply Two Fractions 1 Add Unlike Mixed Numbers Multiply Mixed Numbers Subtract Like Fractions Estimate Products with Fractions Subtract Unlike Fractions Subtract Like Mixed Numbers Subtract Unlike Mixed Numbers Subtract Mixed Numbers: Renaming Grade 5 Page 10 Percent Geometry Ratios What Line am I? Rates What Type of Angle? Solve Proportions Collect the Polygons Ratio Word Problems Collect the Shapes 2 Rate Word Problems Triangle Tasters Percents to Fractions Identify Parts of Circles 2 Percents and Decimals Colllect the Objects 2 Decimals to Fractions 2 Congruent Figures Fractions to Decimals 2 Similar Figures 1 Percent of a Number Symmetry or Not? Transformations Coordinate Graphs: 1st Quadrant Measurement Graphing and Data Analysis Temperature Bar Graphs 2 Elapsed Time Line Graphs: Interpretation Customary Units of Length Circle Graphs Customary Units of Capacity Mean Customary Units of Weight 2 Median Perimeter: Squares and Rectangles Mode Perimeter: Triangles 2 Possible Outcomes Area: Squares and Rectangles Find the Probability Area: Parallelograms Area: Triangles Circumference: Circles Volume: Rectangular Prisms 1 Grade 5 Page 11 Decimals Geometry Decimals from Words to Digits 2 What Type of Angle? Comparing Decimals 2 Collect the Shapes 2 Decimal Order 2 Triangle Tasters Rounding Decimals 2 Collect the Objects 1 Add Decimals 2 Faces, Edges, and Vertices 1 Subtract Decimals 1 Congruent Figures Subtract Decimals 2 Similar Figures 1 Estimate Decimal Sums 1 Symmetry or Not? Estimate Decimal Differences 1 Transformations Decimal by Whole Number Decimal by Decimal Divide Decimal by Whole Number Measurement Divide Decimal by Decimal Perimeter: Squares and Rectangles Estimate Decimal Operations Perimeter: Triangles 2 Area: Squares and Rectangles Area: Parallelograms Number Theory Area: Triangles Divisibility Tests Circumference: Circles Factors Area: Circles Prime or Composite? Surface Area: Rectangular Prisms 1 Prime Factorisation Customary Units of Weight 2 Greatest Common Factor Customary Units of Length Multiples Customary Units of Capacity Least Common Multiple Data, Probability, Statistics Add and Subtract Fractions Bar Graphs 2 Fractions of a Collection Histograms Equivalent Fractions Line Graphs: Interpretation Simplifying Fractions Circle Graphs Comparing Fractions 2 Stem-and-Leaf Plots Ordering Fractions Mean Mixed to Improper Median Improper to Mixed Mode Add Like Fractions Counting Principle Add Unlike Fractions Find the Probability Add Unlike Mixed Numbers Subtract Like Fractions Subtract Unlike Fractions Subtract Unlike Mixed Numbers Subtract Mixed Numbers: Renaming Grade 6 Page 12 Pre-Algebra Ratio, Proportion, Percent Exponents Ratios Order of Operations 1 Rates Multiply Decimals and Powers of 10 Solve Proportions Divide by Powers of 10 Ratio Word Problems Scientific Notation 1 Rate Word Problems Square Roots Percents to Fractions Simple Substitution 1 Percents and Decimals Solve Equations: Add, Subtract 1 Decimals to Fractions 2 Solve Equations: Multiply, Divide 1 Fractions to Decimals 2 Write an Equation: Word Problems Percent of a Number Percent Increase and Decrease Integers Multiplying and Dividing Fractions Integers on a Number Line Multiply: Whole Number and Fraction Coordinate Graphs Multiply Two Fractions 1 Comparing Integers Multiply Mixed Numbers Absolute Value Estimate Products with Fractions Add Integers Using Reciprocols Subtract Integers Divide Fractions by Fractions 1 Integers: Multiply and Divide Divide Whole Number by Fraction Grade 6 Page 13 Decimals Data, Probability, Statistics Comparing Decimals 2 Bar Graphs 2 Decimal Order 2 Histograms Add Decimals 2 Line Graphs: Interpretation Subtract Decimals 2 Circle Graphs Estimate Decimal Sums 1 Stem-and-Leaf Plots Estimate Decimal Differences 1 Scatter Plots Decimal by Whole Number Mean Decimal by Decimal Median Divide Decimal by Whole Number Mode Divide Decimal by Decimal Box-and-Whisker Plots 1 Estimate Decimal Operations Counting Principle Order of Operations 2 Find the Probability Number Theory Multiply and Divide Fractions Divisibility Tests Multiply: Whole Number and Fraction Factors Multiply Two Fractions 1 Scientific Notation 1 Multiply Mixed Numbers Prime Factorisation: Exponents Estimate Products with Fractions Greatest Common Factor Divide Fractions by Fractions 1 Multiples Divide Whole Number by Fraction Least Common Multiple Divide Mixed Numbers Square Roots Estimate Square Roots Pre-Algebra Exponents Integers Slope of a Line Comparing Integers Graphing from a Table of Values 2 Absolute Value Coordinate Graphs Add Integers Find the Function Rule Subtract Integers Function Rules and Tables Integers: Multiply and Divide Simple Substitution 1 Solve Equations: Add, Subtract 2 Solve Equations: Multiply, Divide 2 Write an Equation: Word Problems Simple Substitution 2 Solve Two-Step Equations Grade 7 Page 14 Add and Subtract Fractions Ratio, Proportion, Percent Equivalent Fractions Ratios Simplifying Fractions Rates Comparing Fractions 2 Solve Proportions Ordering Fractions Ratio Word Problems Mixed to Improper Rate Word Problems Improper to Mixed Using Similar Triangles Add Like Fractions Percents to Fractions Add Unlike Fractions Percents and Decimals Add Unlike Mixed Numbers Decimals to Fractions 2 Subtract Like Fractions Fractions to Decimals 2 Subtract Unlike Fractions Percent of a Number Subtract Unlike Mixed Numbers Percent Increase and Decrease Subtract Mixed Numbers: Renaming Solve Percent Equations Add Like Mixed Numbers Add Unlike Mixed Numbers Geometry Measurement Angle Measures in a Triangle Perimeter: Squares and Rectangles Collect the Shapes 2 Perimeter: Triangles 2 Triangle Tasters Area: Squares and Rectangles Collect the Objects 1 Area: Quadrilaterals Equal, Complement, or Supplement? Area: Triangles Congruent Figures: Find Values Circumference: Circles Rotational Symmetry Area: Circles Symmetry or Not? Surface Area: Rectangular Prisms 1 Transformations Volume: rectangular Prisms 1 Collect the Polygons Hypotenuse of a Right Triangle Faces, Edges, and Vertices 1 Grade 7 Page 15 Integers Data, Probability, Statistics Comparing Integers Line Plots Absolute Value Histograms Add Integers Circle Graphs Subtract Integers Stem-and-Leaf Plots Integers: Multiply and Divide Scatter Plots Mean Median Rational Numbers Mode Decimals to Fractions 1 Box-and-Whisker Plots 1 Mixed to Improper Counting Principle Comparing Fractions with Signs Find the Probability Add Decimals: Same Sign Probability with Replacement Add Decimals: Different Signs Probability without Replacement Multiply Two Fractions 2 Divide Fractions by Fractions 2 Add Mixed Numbers: Same Sign Measurement Add Mixed Numbers: Signs Differ Customary Units of Length Subtract Mixed Numbers: Signs Differ Perimeter: Triangles 2 Subtract Negative Mixed Numbers Perimeter: Squares and Rectangles Divide Mixed Numbers with Signs Circumference: Circles Area: Compound Figures Area: Triangles Exponents and Square Roots Area: Quadrilaterals Exponents Area: Circles Integers: Order of Operations Perimeter, Area, Dimension Change Integer Exponents Surface Area: Rectangular Prisms 1 Properties of Exponents Surface Area: Triangular Prisms Scientific Notation 2 Volume: rectangular Prisms 1 Square Roots Volume: Triangular Prisms Estimate Square Roots Coordinate Geometry Expressions and Equations Function Rules and Tables Simple Substitution 3 Find the Function Rule Writing Algebraic Expressions Graphing from a Table of Values 2 Like Terms: Add, Subtract Slope of a Line Using the Distributive Property Solve Systems by Graphing Solve Two-Step Equations Solve Multi-Step Equations Equations: Variables, Both Sides Inequalities Writing Equations Graphing Inequalities 1 Solve One-Step Inequalities 1 Solve One-Step Inequalities 2 Solve Two-Step Inequalities Grade 8 Page 16 Ratio, Proportion, Percent Geometry Rates Angles and Parallel Lines Solve Equations: Add, Subtract 2 Collect the Shapes 2 Solve Equations: Multiply, Divide 2 Collect the Polygons Solve Proportions Congruent Figures: Find Values Using Similar Triangles Congruent Triangles Percents to Fractions Collect the Objects 1 Percents and Decimals Faces, Edges, and Vertices 1 Decimals to Fractions 2 Faces, Edges, and Vertices 2 Fractions to Decimals 2 Pythagorean Theorem Percent of a Number Coordinate Graphs Solve Percent Equations Symmetry or Not? Percent Increase and Decrease Rotational Symmetry Transformations: Coordinate Plane Rotations: Coordinate Plane Grade 8 Page 17 Number Algebra Ordering Integers Find the Pattern Rule Order of Operations 1 Patterns Rules and Tables Order of Operations 2 Which Straight Line? Product of Prime Factors Determining the Rule for a line Equations with Square Roots Graphing from a Table of Values Estimate Square Roots Reading Values from a Line Something Easier Intercepts Descending Order Greater Than or Less Than? Graphing Parabolas Something Easier Number Lines Describing Patterns Multiplication Facts Find the Missing Number 1 Division Facts Ordered Pairs Prime or Composite? Distance Between Two Points Solving More Equations Gradient Something Harder Estimating Cube Roots General Form of a Line Something Harder Integers: Order of Operations Intersecting Linear Regions Ordering Fractions Identifying Graphs Equation from Point and Gradient Indices Index Notation Equations and Inequalities Index form to Numbers Solving More Equations Negative Indices Solving Inequalities 1 Simplifying with Index Laws 1 Graphing Inequalities 1 Simplifying with Index Laws 2 Find the Mistake Multiplication with Indices Solving Inequalities 2 Index Laws and Algebra Checking Solutions Something Easier Equations to Solve Problems Index Notation and Algebra Equations with Grouping Symbols Something Harder Expanding Brackets Expand then Simplify Something Easier Index Laws with Brackets Find the Missing Number 1 The Zero Index Like Terms: Add and Subtract Fractional Indices Algebraic Multiplication Solving Simple Equations Something Harder Equations with Decimals Simultaneous Equations 1 Grouping in Pairs Solving Inequalities 3 Grade 9 Page 18 Fractions and Decimals Area, Volume and Circles Ordering Fractions Centre and Radius 1 Multiplying Fractions Centre and Radius 2 Dividing Fractions Circumference: Circles Equations with Fractions 1 Area: Circles Equations with Fractions 2 Area: Right Angled Triangles Algebraic Fractions 1 Surface Area: Rectangular Prisms Algebraic Fractions 2 Surface Area: Triangular Prisms Decimal Order Surface Area: Cylinders Adding and Subtracting Decimals Surface Area: Square Pyramids Decimal by Decimal Using Similar Triangles Decimals on the number line Similar Areas and Volumes Add like Fractions Scale Factor Subtract like Fractions Scale Add unlike Fractions Hypotenuse of a Right Angled Triangle Subtract unlike Fractions Something Easier Rotational Symmetry Something Easier Number Lines Symmetry or Not? Comparing Decimals Using a Key Simplifying Fractions Area: Triangles Adding Decimals Perimeter: Composite Shapes Decimal by Whole Number Volume: Cylinders Ordering Integers Similar Figures No Common Denominator Something Harder Scale Measurement Something Harder Fractions to Decimals Area: Composite Shapes Percentage Increase and Decrease Area: Quadrilaterals More Fraction Problems Surface Area: Spheres Ratio Surface Area: Cones Algebraic Fractions 3 Algebra 2 Expanding Binomial Products Special Binomial Products Grouping in Pairs Completing the Square Factorising Quadratics 1 Factorising Quadratics 2 Like Terms: Add and Subtract Algebraic Multiplication Dividing Expressions Something Easier Multiplication Facts Division Facts Index Notation Recognising Like Terms Simplifying Expressions Expand then Simplify Something Harder Highest Common Algebraic Factor Grade 9 Page 19 Geometry Volume and Capacity Angles and Parallel Lines Milliliters and Liters Area: Triangles Capacity Addition Using Similar Triangles Converting Volume Scale Factor Customary Units of Capacity Bearings Properties of Solids Circumference: Circles Volume: Rectangular Prisms 1 Classifying Angles Volume: Rectangular Prisms 2 Equal, Complement or Supplement? Volume: Cylinders Estimating Angles Volume: Triangular Prisms Parallel Lines Volume: Composite Figures Pythagoras Theorem Volume: Prisms What Type of Angle? Volume: Pyramids Hypotenuse of a Right Angled Triangle Volume: Cones Something Easier Volume: Spheres What Line am I? Equal Angles Volume: Rearrange Formula Something Easier Comparing Angles How Many Blocks? Area: Squares and Rectangles Millilitres and Litres Similar Figures Faces, Edges and Vertices Scale Measurement Operations with Length Find Unknown Angles Area: Right Angled Triangles Something Harder Measuring Angles Area: Circles Something Harder Area: Right Angled Triangles Surface Area: Cylinders Area: Composite Shapes Congruent Triangles Area: Circles Similar Figures Pythagorean Triads Labelling Angles Angle Sum of a Triangle Surface Area Surface Area: Cones Surface Area: Cylinders Data Surface Area: Rearrange Formula Creating a Sector Graph Surface Area: Rectangular Prisms Histogram or Polygon? Surface Area: Spheres Step Graphs Surfaces Area: Square Pyramids Travel Graphs Surface Area: Rectangular Pyramids Frequency Histograms Surface Area: Triangular Prisms Box-and-Whisker Plots 1 Something Easier Surface Area: Cuboids Something Easier Reading from a Column Graph Perimeter: Composite Shapes Sector Graphs Volume: Cylinders Sector Graph Calculations Surface Area: Triangular Prisms Stem and Leaf Introduction Something Harder Cumulative Frequency Table Box-and-Whisker Plots 2 Grade 10 Page 20 Measurement Linear Algebra Grams and Kilograms Constructing Formulae Converting Units of Mass Substitution in Formulae Perimeter and Circles Real Formulae Perimeter: Composite Shapes Graphing from a Table of Values Perimeter: Squares and Rectangles Intersecting Linear Regions Perimeter: Triangles Equations: Variables, Both Sides Converting Units of Length Simultaneous Equations 1 Customary Units of Weight 1 Customary Units of Weight 2 Simultaneous Equations 2 Something Easier Meters and Kilometers Simple Substitution Customary Units of Length Solving More Equations Temperature Ordered Pairs Something Easier Which Straight Line? Perimeter of Shapes Equation of a Line 1 Millilitres and Litres Kilogram Conversions Changing the Subject Something Harder Kilometre Conversions Reading Values from a Line Metres and Kilometres Something Harder Mass Addition Number Calculations Operations with Length Prime or Composite? Circumference: Circles Highest Common Factor Lowest Common Multiple Percentage Increase and Decrease Equations of Straight Lines Percentage Word Problems Intercepts Scientific Notation Gradient Estimating Square Roots Equation of a Line 1 Equations with Square Roots Equation of a Line 2 Estimating Cube Roots Equation of a Line 3 Equation from Point and Gradient Prime Factorization Something Easier Equation from Two Points Multiples General Form of a Line Simplifying Fractions Which Straight Line? Mixed to Improper Something Easier Rounding Decimals Ordered Pairs Percentage Composition Graphing from a Table of Values Percentage of a Quantity Reading Values from a Line Solving More Equations Distance Between Two Points Something Harder Something Harder Product of Prime Factors Intersecting Linear Regions Profit and Loss Midpoint by Formula Identifying Graphs Linear Regions Coordinate Methods in Geometry Grade 10 Page 21 Trigonometry Index Laws Sin A Multiplication with Indices Cos A Factorising with Indices Tan A Negative Indices Elevation and Depression Fractional Indices Exact Trigonometric Ratios The Zero Index Find Unknown Angles Simplifying with Index Laws 1 Find Unknown Sides Simplifying with Index Laws 2 Trigonometric Relationships Exponents Bearings Integer Exponents Something Easier Hypotenuse, Adjacent, Opposite Properties of Exponents Something Easier Index Notation Factorising Expressions Surds Index Form to Numbers Adding and Subtracting Surds Multiplying Surds Surd Form to Index Form Something Harder Expanding Surd Expressions Expanding Brackets Dividing Surds Dividing Surds Simplifying Surds Surd Form to Index Form Expanding Binomial Surds Quadratic Expressions Something Easier Expanding Binomial Products Index Form to Numbers Simplifying Binomial Expressions Simplifying with Index Laws 1 More Substitution in Formulae Something Harder Grouping in Pairs Rationalising the Denominator Factorising Quadratics 1 Fractional Indices Factorising Quadratics 2 Rationalising and Binomials Completing the Square Special Binomial Products Something Easier Area Simple Substitution Area: Circles Simplifying Expressions Area: Quadrilaterals Expand then Simplify Area: Right Angled Triangles Area: Squares and Rectangles Converting Units of Area Area: Composite Shapes Something Easier Area: Squares and Rectangles Area: Triangles Area: Right Angled Triangles Something Harder Area: Quadrilaterals Grade 10 Page 22 Linear Analysis Financial Mathematics Function Rules and Tables Best Buy Find the Mistake Budgeting Midpoint by Formula Calculating Income Tax Are they Parallel? Commission Are they Perpendicular? Comparing Home Loans Modelling Linear Relationships Comparing Loans Conversion Graphs Compound Interest Something Easier Deductions and Tax Instalments Line Graphs: Interpretation Depreciation Solving Simple Equations Purchase Options Solving More Equations Simple Interest Step Graphs Special Allowances Distance Between Two Points Successive Discounts Gradient Wages and Salaries Which Straight Line? Something Harder Working Overtime Something Easier Intersecting Linear Regions Equation from Point and Gradient Profit and Loss Something Harder Breakeven Point Compound Interest by Formula Direct Variation Leave Loading Indirect Variation Credit Card Repayments Non Linear Graphs Grade 10 Page 23 Geometry and Measurement Volume and Capacity Triangle Tasters Volume: Rectangular Prisms 1 Scale Measurement Scale Factor Volume: Rectangular Prisms 2 Volume: Cylinders Nets Volume: Triangular Prisms Converting Units of Mass Volume: Composite Figures Angle Sum of a Triangle Volume: Prisms Using Similar Triangles Volume: Pyramids Similar Areas and Volumes Volume: Cones Angles and Parallel Lines Volume: Spheres Exterior Angles of a Triangle Volume: Rearrange Formula Angles in a Revolution Capacity Addition Interior and Exterior Angles Capacity Word Problems Meters and Kilometers Something Easier Converting Volume Something Easier Grams and Kilograms How Many Blocks? Shapes Millilitres and Litres Scale Operations with Length Labelling Angles Area: Right Angled Triangles Equal, Complement or Supplement? Surface Area: Rectangular Prisms Area: Circles Something Harder Similar Figures Surface Area: Cylinders Something Harder Labelling Circles Parallel Lines Area and Surface Area Angle Sum of a Quadrilateral Surface Area: Rectangular Prisms Surface Area: Cuboids Surface Area: Triangular Prisms Statistics Calculations Surface Area: Cylinders Line Graphs: Interpretation Surface Area: Square Pyramids Sector Graph Angles Surface Area: Spheres Box-and-Whisker Plots 2 Surface Area: Cones Sector Graph Calculations Surface Area: Rearrange Formula Calculating Standard Deviation Interpreting Standard Deviation Converting Units of Area Something Easier Calculating z-scores Operations with Length Normal Distribution Perimeter: Composite Shapes Comparing Z-Scores Area: Right Angled Triangles Something Easier Area: Composite Shapes Box-and-Whisker Plots 1 Volume: Cylinders Interpreting Tables Something Harder Rates and Ratio Sector Graphs Rates Calculations Divided Bar Graphs Unitary Method Step Graphs Converting Rates Calculating Interquartile Range Ratio Equivalent Ratios Dividing a Quantity in a Ratio Something Easier Highest Common Factor Lowest Common Multiple Something Harder Rates Word Problems Grade 11 Page 24 Linear Expressions Quadratic Polynomial Gradients for Real Roots of the Quadratic Conversion Graphs Quadratic Equations 1 Modelling Linear Relationships Quadratic Equations 2 Equation of a Line 1 Factorising Quadratics 1 Equation of a Line 2 Factorising Quadratics 2 Equation of a Line 3 Quadratic Formula Equal Intercepts Equations Reducible to Quadratics Equation from Point and Gradient Completing the Square Equation from Two Points Vertex of a Parabola General Form of a Line Graphing Parabolas Slope of a Line Focus and Directrix 1 Something Easier Focus and Directrix 2 Line Graphs: Interpretation Focus and Directrix 3 Step Graphs Focus and Directrix 4 Ordered Pairs Graphing from a Table of Values Sum and Product of Roots Something Easier Distance Between Two Points Solving More Equations Gradient Simplifying Expressions Which Straight Line? Expand then Simplify Something Harder Which Straight Line? Intersecting Linear Regions General Form of a Line Linear Regions Breakeven Point Special Binomial Products Something Harder Direct Variation Quadratic Inequalities Indirect Variation Coordinate Methods in Geometry Non Linear Graphs Trigonometry Introduction Find Unknown Angles Find Unknown Sides Financial Maths Sign of the Angle Budgeting Exact Trigonometric Ratios Simple Interest Trigonometric Relationships Compound Interest Trig Equations 1 Compound Interest by Formula Trig Equations 2 Comparing Loans Elevation and Depression Comparing Home Loans Bearings Credit Card Repayments Something Easier Piecework and Royalties Sin A Calculating Income Tax Cos A Something Easier Tan A Profit and Loss Sine Rule 1 Wages and Salaries Working Overtime Sine and Cosine Curves Something Harder Calculating Dividends Trig Equations 3 GST Something Harder Purchase Options Successive Discounts Depreciation Deductions and Tax Instalments Grade 11 Page 25 Statistical Graphs Data and Statistics Histogram or Polygon? Mean Frequency Histograms Mean from Frequency Table Cumulative Frequency Histogram Median Sector Graph Calculations Median from Frequency Tally Charts Median and Cumulative Frequency Dot Plots Mode Divided Bar Graphs Mode from Frequency Table Sector Graph Angles Mode from Stem and Leaf Plot Step Graphs Box-and-Whisker Plots 1 Calculating Interquartile Range Something Easier Box-and-Whisker Plots 2 Finding the Average Creating a Sector Graph Interpreting Standard Deviation Double Stem and Leaf Plots Stem and Leaf Introduction Histograms Cumulative Frequency Table Scatter Plots Something Harder Something Easier Box-and-Whisker Plots 1 Tallies Reading from a Column Graph Line Graphs: Interpretation Area and Surface Area Sector Graphs Surface Area: Rectangular Prisms Stem and Leaf Introduction Surface Area: Triangular Prisms Probability Scale Surface Area: Cylinders Complementary Events Surface Area: Square Pyramids Something Harder Surface Area: Spheres Travel Graphs Surface Area: Cones Calculating Interquartile Range Area: Quadrilaterals Cumulative Frequency Table Area: Right Angled Triangles Area: Composite shapes Area: Circles Geometry and Measurement Area: Ellipse Using Similar Triangles Area: Sectors Similar Areas and Volumes Area: Annulus Interior and Exterior Angles Surface Area: Rectangular Pyramids Scale Factor Something Easier Surface Area: Cuboids Something Easier Exterior Angles of a Triangle Area: Squares and Rectangles Angle Sum of a Quadrilateral Area: Triangles Similar Figures Perimeter: Composite Shapes Scale Measurement Circumference: Circles Volume: Cylinders Grade 12 Page 26 Probability Algebra Simple Probability Absolute Value Graphs Probability with Replacement Rates of Change Probability Without Replacement Algebraic Fractions 3 Two-way Table Probability Constructing Formulae Counting Techniques 1 Percentage Error Counting Techniques 2 Breakeven Point Dice and Coins Substitution in Formulae Tree Diagrams Complementary Events More Substitution in Formulae Something Easier Venn Diagrams Operations with Length Probability Tables Perimeter: Composite Shapes Something Easier Algebraic Fractions 2 How Many Combinations? Changing the Subject What are the Chances? Something Harder Probability Scale Trigonometry Sign of the Angle Sine and Cosine Curves Volume and Capacity Trigonometric Relationships Volume: Rectangular Prisms 1 Exact Trigonometric Ratios Volume: Rectangular Prisms 2 Sine Rule 1 Volume: Cylinders Sine Rule 2 Volume: Triangular Prisms Cosine Rule 1 Volume: Prisms Cosine Rule 2 Volume: Pyramids Volume: Cones Converting Radians and Degrees Something Easier Volume: Spheres Sin A Something Easier Cos A How Many Blocks? Find Unknown Angles Area: Right Angled Triangles Find Unknown Sides Area: Circles Something Harder Exact Trigonometric Ratios Something Harder Surface Area: Cylinders Which Quadrant? Volume: Composite Figures Trig Equations 1 Financial Maths Graphs in Algebra Future Value of an Annuity Which Quadrant? Present Value of an Annuity Graphing Parabolas Future Value of Investments 1 Graphing Cubics Future Value of Investments 2 Graphing Circles Comparing Home Loans Graphing Hyperbolas Comparing Loans Graphing Exponentials Breakeven Point Exponential or Log Graph? Effective Interest Rate Non Linear Graphs Something Easier Absolute Value Graphs Simple Interest Conversion Graphs Depreciation Calculating Dividends GST Grade 12 Page 27 Linear Expressions Exponentials and Logarithms y=ax Log Base 'e' Gradients for Real Equations with Logs Modelling Linear Relationships Exponential or Log Graph? Direct Variation Log Laws Find the Pattern Rule Exponential Growth and Decay Pattern Rules and Tables Graphing Exponentials Equation of a Line 1 Exponential Equations Which Straight Line? Line Graphs: Interpretation Change of Base Something Easier Slope of a Line Solving More Equations Something Easier Which Straight Line? Interpreting Tables General Form of a Line Describing Patterns Absolute Value Graphs Find the Missing Number 1 Distance Between Two Points Gradient Trigonometry Applications Something Harder Trigonometry Problems 1 Sector Graphs Trigonometry Problems 2 Divided Bar Graphs Trig Equations 1 Intersecting Linear Regions Trig Equations 2 Identifying Graphs Trig Equations 3 Equation from Point and Gradient Period and Amplitude Breakeven Point Trig Graphs in Radians Non Linear Graphs Trig Equations 4 Length of an Arc Grade 12 Page 28
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