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

### 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 |