| 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 |
