### Grade 12 – Mathematics for Work and Everyday Life Mathematics

# TOPIC TITLE
1 Study Plan Study plan – Grade 12 – Mathematics for Work and Everyday Life
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision.
2 Graphs – Basic Line Graphs
Objective: To read and interpret line graphs
3 Graphs – Basic Pie and Bar Graphs
Objective: To read and interpret pie and bar graphs
4 Statistics part 1 Frequency distribution table
Objective: To construct a frequency distribution table for raw data and to interpret the table
5 Statistics part 1 Frequency histograms and polygons
Objective: To construct and interpret frequency histograms and polygons
6 Decimals Using decimals – shopping problems
Objective: To read and interpret problems involving money
7 Measurement – Volume Solving Problems about Volume Part 1
Objective: To solve volume problems using same and mixed units of length
8 Measurement – Volume Solving Problems about Volume Part 2
Objective: To solve volume problems involving larger objects
9 Problem solving Word Problems with Money
Objective: To solve money word problems using + – x and /
10 Problem solving Word Problems with Length
Objective: To solve length word problems using + – x and /
11 Problem solving Word Problems with Mass
Objective: To solve mass word problems using + – x and /
12 Problem solving Word Problems with Area
Objective: To solve area word problems using + – x and /
13 Problem solving Word Problems with Volume/Capacity
Objective: To solve volume and capacity word problems using + – x and /
14 Probability Simple events
Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S)
15 Probability Rolling a pair of dice
Objective: To find the probability of selected events when two dice are rolled
16 Probability Experimental probability
Objective: To find the experimental probabilities of an experimental trial
17 Probability Experimental probability
Objective: To use tree diagrams to determine sample spaces and compound probabilities
18 Probability Tree diagrams: depending on previous outcomes
Objective: To use tree diagrams where the probability is dependent on previous outcomes
19 Probability The Complementary Result
Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E)
20 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
21 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
22 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
23 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
24 Measurement – Capacity Using the cubic cm and displacement to measure volume and capacity
Objective: To find volume and capacity using displacement
25 Measurement – Capacity Using the Cubic cm as a Standard Unit of measurement for Volume and Capacity
Objective: To understand a cubic centimetre and how it can be used to find the volume and capacity of a three-dimensional shape
26 Measurement – Capacity The relationship between the common units of capacity: the litre and the millilitre
Objective: To convert L to mL and vice versa using 1000 mL = 1 L
27 Measurement – Capacity Converting between volume and capacity using kiloliters and liters
Objective: To know the formal units of measurement for volume and capacity for bigger objects
28 Measurement – Capacity Estimate, measure and compare the capacity of containers
Objective: To understand estimation and a way to go about it
29 Measurement – Capacity Converting between volume and capacity using milliliters and liters
Objective: To solve capacity problems involving mixed dimensional units
30 Measurement – Mass The Kilogram
Objective: To recognise which of two (or more) objects has the greater mass
31 Measurement – Mass The Gram
Objective: To calculate net mass in grams and solve shopping problems involving mass
32 Pythagoras Pythagoras’ Theorem: Finding the Hypotenuse
Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem
33 Pythagoras Using Pythagorean Triples to Identify Right Triangles
Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem
34 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
35 Measurement – Advanced area Area of a Trapezium
Objective: To calculate the area of trapezia using A=(h/2)(a+b)
36 Measurement – Advanced area Area of a Rhombus
Objective: To calculate the area of a rhombus using diagonal products
37 Measurement – Advanced area Area of a Circle
Objective: To calculate the area of circles and sectors and to solve circle problems
38 Measurement – Advanced area Area of Regular Polygons and Composite Figures
Objective: To calculate area of composite figures and solve problems using correct formulae
39 Measurement – Advanced volume Finding the volume of prisms
Objective: To calculate the volume of prisms using V=Ah and solve volume problems
40 Measurement – Advanced volume Composite Solids
Objective: To calculate the volume of composite figures using appropriate formulae
41 Surface area Surface Area of a Cube/Rectangular Prism
Objective: To calculate the surface area of cubes and rectangular prisms
42 Surface area Surface Area of a Triangular/Trapezoidal Prism
Objective: To calculate the surface area of triangular and trapezoidal prisms
43 Surface area Surface Area of a Cylinder and Sphere
Objective: To calculate the surface area of cylinders and spheres
44 Surface area Surface Area of Pyramids
Objective: To calculate the surface area of pyramids
45 Surface area Surface area of composite solids
Objective: On completion of the lesson the student will be able to find the surface areas of Composite solids.
46 Space Measure and classify angles
Objective: To classify and measure angles and calculate angles in a triangle
47 Exam Exam – Grade 12 – Mathematics for Work and Everyday Life
Objective: Exam