| # | TOPIC | TITLE | +/- | |
|---|---|---|---|---|
| 1 | Study Plan | Study plan - Grade 9 - Foundation of Mathematics (Applied) | Info | Go |
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Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision. |
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| 2 | Fractions | Dividing mixed numbers | Info | Go |
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Objective: To divide mixed numbers |
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| 3 | Fractions | BODMAS | Info | Go |
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Objective: To calculate answers for fraction and mixed number questions using BODMAS |
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| 4 | Decimals | Using decimals - shopping problems | Info | Go |
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Objective: To read and interpret problems involving money |
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| 5 | Decimals | Using decimals to record length | Info | Go |
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Objective: To interpret the everyday use of fractions and decimals |
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| 6 | Decimals | Rounding Decimals | Info | Go |
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Objective: To round a number with one or two decimal places to the nearest whole number |
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| 7 | Decimals | Multiplication of decimals by decimals to two decimal places | Info | Go |
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Objective: To multiply decimals to two digits |
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| 8 | Percentages | Understanding percentages | Info | Go |
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Objective: To recognise the percentage symbol and relate a common percentage to a fraction |
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| 9 | Percentages | Changing fractions and decimals to percentages tenths and hundredths | Info | Go |
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Objective: To represent fractions and decimals as percentages |
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| 10 | Percentages | Changing percentages to fractions and decimals | Info | Go |
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Objective: To change percentages to fractions and decimals |
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| 11 | Percentages | One Quantity as a Percentage of Another | Info | Go |
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Objective: To determine what one quantity is as a percentage of another |
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| 12 | Uniform motion | The Speed Formula | Info | Go |
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Objective: To calculate speed, distance or time using speed = distance/time |
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| 13 | Algebra - Basic | Directed Numbers: Addition and Subtraction | Info | Go |
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Objective: To add/subtract numbers using a number line - first number and answer can be negative |
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| 14 | Algebra - Basic | Directed Numbers: Multiplication and Division | Info | Go |
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Objective: To multiply and divide directed numbers and evaluate powers of directed numbers |
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| 15 | Algebra - Basic | Simplifying Algebraic Expressions: Combining Addition and Subtraction | Info | Go |
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Objective: To simplify expressions containing addition and subtraction and two unlike terms |
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| 16 | Algebra - Basic | Simplifying Algebraic Expressions: Multiplication | Info | Go |
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Objective: To simplify algebraic products using (but not stating) the commutative law |
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| 17 | Algebra - Basic | Simplifying Algebraic Expressions: Division | Info | Go |
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Objective: To divide algebraic terms where the divisor is a factor of the dividend |
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| 18 | Algebra - Basic | Expanding Algebraic Expressions: multiplication | Info | Go |
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Objective: To remove grouping symbols from an expression where the multiplier is monomial |
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| 19 | Algebra - Basic | Expanding Algebraic Expressions: Negative multiplier | Info | Go |
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Objective: To expand parentheses when there is a negative multiplier |
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| 20 | Algebra - Basic | Expanding and simplifying algebraic expressions | Info | Go |
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Objective: To expand and simplify algebraic expressions involving grouping symbols |
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| 21 | Algebra - Basic | Solving Equations containing Addition and Subtraction | Info | Go |
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Objective: To solve one-step equations involving addition or subtraction |
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| 22 | Algebra - Basic | Solving Equations containing Multiplication and Division | Info | Go |
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Objective: To solve one-step equations involving multiplication or division |
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| 23 | Algebra - Basic | Solving Two-Step Equations | Info | Go |
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Objective: To solve two-step equations without division in the initial problem |
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| 24 | Algebra - Basic | Solving Equations Containing Binomial Expressions | Info | Go |
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Objective: To solve equations with binomial expressions on each side |
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| 25 | Algebra - Basic | Equations involving Grouping Symbols | Info | Go |
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Objective: To solve equations containing grouping symbols on each side |
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| 26 | Algebra - Basic | Equations involving fractions | Info | Go |
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Objective: To solve fraction equations with the unknown in either the numerator or denominator |
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| 27 | Algebra - Basic | Equations Resulting from Substitution into Formulae | Info | Go |
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Objective: To solve equations created by substituting values into formulae |
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| 28 | Algebra - Basic | Changing the Subject of the Formula | Info | Go |
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Objective: To change the subject of algebraic formulae using equation-solving techniques |
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| 29 | Graphs - Basic | Line Graphs | Info | Go |
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Objective: To read and interpret line graphs |
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| 30 | Graphs - Basic | Pie and Bar Graphs | Info | Go |
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Objective: To read and interpret pie and bar graphs |
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| 31 | Statistics part 1 | Frequency distribution table | Info | Go |
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Objective: To construct a frequency distribution table for raw data and to interpret the table |
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| 32 | Statistics part 1 | Frequency histograms and polygons | Info | Go |
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Objective: To construct and interpret frequency histograms and polygons |
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| 33 | Statistics part 1 | Relative Frequency | Info | Go |
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Objective: To extend the frequency distribution table to include a relative frequency column |
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| 34 | Statistics part 1 | The Scatter plot | Info | Go |
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Objective: To make a valid interpretation of data presented as a scatter plot |
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| 35 | Space | Recognise and name prisms according to spatial properties | Info | Go |
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Objective: To name prisms according to the shape of the base |
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| 36 | Space | Recognise and name pyramids according to spatial properties | Info | Go |
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Objective: To name pyramids according to the shape of the base |
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| 37 | Space | Recognise nets for prisms, pyramids, cubes and cones | Info | Go |
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Objective: To match a net with a solid and determine whether a given net forms a solid |
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| 38 | Space | Viewing 3-D Shapes | Info | Go |
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Objective: To recognise what a solid looks like when viewed from a given direction |
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| 39 | Measurement - Length | Read and calculate distances on a map using the formal unit kilometre | Info | Go |
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Objective: To read distances (km) from a map and calculate total distances between locations |
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| 40 | Measurement - Length | Compare and convert formal units of measurement | Info | Go |
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Objective: To change cm to mm and then convert mm, cm, m and km from one to another |
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| 41 | Measurement - Area | Introducing the Rules for Finding the Area of a Rectangle and a Parallelogram | Info | Go |
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Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height |
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| 42 | Measurement - Area | Finding the Area of a Triangle and Other Composite Shapes | Info | Go |
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Objective: To calculate the area of triangles and measure and calculate composite shape area |
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| 43 | Measurement - Capacity | Converting between volume and capacity using milliliters and liters | Info | Go |
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Objective: To solve capacity problems involving mixed dimensional units |
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| 44 | Measurement - Capacity | Estimate, measure and compare the capacity of containers | Info | Go |
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Objective: To understand estimation and a way to go about it |
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| 45 | Measurement - Advanced area | Area of a Trapezium | Info | Go |
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Objective: To calculate the area of trapezia using A=(h/2)(a+b) |
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| 46 | Measurement - Advanced area | Area of a Rhombus | Info | Go |
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Objective: To calculate the area of a rhombus using diagonal products |
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| 47 | Measurement - Advanced area | Area of a Circle | Info | Go |
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Objective: To calculate the area of circles and sectors and to solve circle problems |
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| 48 | Measurement - Advanced area | Area of Regular Polygons and Composite Figures | Info | Go |
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Objective: To calculate area of composite figures and solve problems using correct formulae |
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| 49 | Problem solving | Word Problems with Area | Info | Go |
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Objective: To solve area word problems using + - x and / |
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| 50 | Measurement - Advanced volume | Finding the volume of prisms | Info | Go |
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Objective: To calculate the volume of prisms using V=Ah and solve volume problems |
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| 51 | Measurement - Advanced volume | Volume of a Cylinder and Sphere | Info | Go |
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Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each |
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| 52 | Measurement - Advanced volume | Volume of Pyramids and Cones | Info | Go |
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Objective: To calculate the volumes of pyramids and cones |
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| 53 | Measurement - Advanced volume | Composite Solids | Info | Go |
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Objective: To calculate the volume of composite figures using appropriate formulae |
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| 54 | Problem solving | Word Problems with Volume/Capacity | Info | Go |
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Objective: To solve volume and capacity word problems using + - x and / |
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| 55 | Surface area | Surface Area of a Cube/Rectangular Prism | Info | Go |
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Objective: To calculate the surface area of cubes and rectangular prisms |
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| 56 | Surface area | Surface Area of a Triangular/Trapezoidal Prism | Info | Go |
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Objective: To calculate the surface area of triangular and trapezoidal prisms |
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| 57 | Surface area | Surface Area of a Cylinder and Sphere | Info | Go |
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Objective: To calculate the surface area of cylinders and spheres |
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| 58 | Surface area | Surface Area of Pyramids | Info | Go |
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Objective: To calculate the surface area of pyramids |
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| 59 | Pythagoras | Pythagoras' Theorem: Finding the Hypotenuse | Info | Go |
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Objective: To calculate the length of a hypotenuse using Pythagoras' Theorem |
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| 60 | Pythagoras | Using Pythagorean Triples to Identify Right Triangles | Info | Go |
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Objective: To identify right triangles by using Pythagorean Triples or Pythagoras' Theorem |
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| 61 | Pythagoras | Calculating the Hypotenuse of a right-angled Triangle | Info | Go |
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Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals |
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| 62 | Pythagoras | Calculating a Leg of a right-angled Triangle | Info | Go |
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Objective: To calculate the length of sides other than the hypotenuse using Pythagoras' Theorem |
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| 63 | Geometry part 1 | Angle Sum of a Triangle | Info | Go |
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Objective: To use the angle sum for a triangle to calculate unknown angles |
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| 64 | Geometry part 1 | Exterior angle theorem | Info | Go |
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Objective: To use the external angle of a triangle theorem to calculate unknown angles |
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| 65 | Geometry part 1 | Special triangles | Info | Go |
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Objective: To use the properties of equilateral and isosceles triangles to calculate angle size |
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| 66 | Geometry part 1 | Quadrilaterals | Info | Go |
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Objective: To use the angle sum of a quadrilateral to calculate unknown angles |
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| 67 | Quadrilaterals | Quadrilaterals 1 | Info | Go |
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Objective: To recognise, name and describe the properties of quadrilaterals |
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| 68 | Quadrilaterals | Properties of Parallelograms - Opposite Angles Equal | Info | Go |
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Objective: To prove and use 'Opposite angles of a parallelogram are congruent' |
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| 69 | Quadrilaterals | Properties of Parallelograms - Diagonals, Sides and Angles | Info | Go |
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Objective: To prove parallelogram properties and calculate unknown angles and lengths |
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| 70 | Quadrilaterals | The Parallelogram Umbrella | Info | Go |
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Objective: To prove properties of specific parallelograms and find angles and lengths |
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| 71 | Quadrilaterals | Properties of Trapezoids | Info | Go |
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Objective: To prove properties of trapezoids and find unknown lengths and angles |
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| 72 | Exam | Exam - Grade 9 - Foundation of Mathematics (Applied) | Info | Go |
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Objective: Exam |
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