### Grade 9 – Foundation of Mathematics (Applied) Mathematics

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