# Grade 7 Mathematics – Canada

### Grade 7 Mathematics

# | TOPIC | TITLE | |
---|---|---|---|

1 | Study Plan | Study plan – Grade 7 | |

Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision. | |||

2 | Basic mathematics part 2 | The Numbers 10 000 to 99 999 | |

Objective: To determine the place value of digits in, order of and name of 5-digit numbers | |||

3 | Basic mathematics part 2 | Seven digit numbers | |

Objective: To determine the place value of digits in, and the name of numbers to 1 000 000 | |||

4 | Basic mathematics part 2 | Addition to 9999 and beyond | |

Objective: To add up to five 3, 4 or 5-digit numbers from 0 to 99 999 | |||

5 | Basic mathematics part 2 | Subtraction involving four-digit numbers and beyond | |

Objective: To subtract 4 or 5-digit numbers from 5-digit numbers using the Renaming Method | |||

6 | Long multiplication | Multiplying 2-digit numbers by 2-digit numbers | |

Objective: To multiply 2-digit numbers by 2-digit numbers using long multiplication | |||

7 | Basic mathematics part 2 | Division with and without a remainder | |

Objective: To divide by 1-digit divisor with/without remainder and form division problems | |||

8 | Basic mathematics part 2 | Dividing two and three-digit numbers by a single-digit number | |

Objective: To divide 3-digit by 1-digit numbers and solve word problems | |||

9 | Basic mathematics part 2 | Divide whole numbers by a 2-digit divisor | |

Objective: To divide up to 4-digit by 1 or 2-digit numbers with remainders as reduced fractions | |||

10 | Algebra – Basic | Directed Numbers: Addition and Subtraction | |

Objective: To add/subtract numbers using a number line – first number and answer can be negative | |||

11 | Algebra – Basic | Directed Numbers: Multiplication and Division | |

Objective: To multiply and divide directed numbers and evaluate powers of directed numbers | |||

12 | Fractions | Comparing and ordering fractions | |

Objective: To compare and order fractions with the same and different numbers of equal parts | |||

13 | Fractions | Mixed numerals | |

Objective: To name and recognise mixed numerals | |||

14 | Fractions | Improper fractions | |

Objective: To use diagrams and number lines to recognise and represent mixed numerals and improper fractions | |||

15 | Fractions | Finding equivalent fractions | |

Objective: To reduce a fraction to its lowest form | |||

16 | Fractions | Multiplying and dividing to obtain equivalent fractions. | |

Objective: To find equivalent fractions using multiplication or division. | |||

17 | Fractions | Reducing fractions to lowest equivalent form | |

Objective: To reduce a fraction to its lowest form | |||

18 | Fractions | Comparing and ordering fractions greater than 1 | |

Objective: To use diagrams, number lines and equivalent fractions to compare and order fractions greater than 1 | |||

19 | Fractions | Subtracting fractions from whole numbers | |

Objective: To use a diagram and mental strategies to subtract fractions from whole numbers | |||

20 | Fractions | Adding and subtracting fractions with the same denominator | |

Objective: To add and subtract fractions with the same denominator | |||

21 | Fractions | Adding and subtracting fractions with different denominators | |

Objective: To add fractions with different denominators and the answer is less than 1 | |||

22 | Fractions | Multiplying fractions by whole numbers | |

Objective: To multiply common fractions by whole numbers | |||

23 | Fractions | Fractions of whole numbers | |

Objective: To find fractions of whole numbers | |||

24 | Fractions | Multiplying fractions | |

Objective: To multiply fractions and reduce the answer to its lowest form | |||

25 | Decimals | Comparing and ordering decimals to two decimal places | |

Objective: To compare and order decimals to two decimal places | |||

26 | Decimals | Decimals with whole numbers 10th and 100th | |

Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals | |||

27 | Decimals | Adding decimals to two decimal places | |

Objective: To add decimals with the same number of decimal places (to two decimal Places) | |||

28 | Decimals | Subtracting decimals to two decimal places | |

Objective: To subtract decimals with the same number of decimal places (to two decimal places) | |||

29 | Decimals | Using decimals – shopping problems | |

Objective: To read and interpret problems involving money | |||

30 | Decimals | Using decimals to record length | |

Objective: To interpret the everyday use of fractions and decimals | |||

31 | Decimals | Rounding Decimals | |

Objective: To round a number with one or two decimal places to the nearest whole number | |||

32 | Decimals | Decimals to three decimal places | |

Objective: To express a number on a thousand as a decimal in thousandths | |||

33 | Decimals | Adding decimals with a different number of decimal places | |

Objective: To add decimal numbers with a different number of decimal places | |||

34 | Decimals | Subtracting decimals with a different number of places | |

Objective: To subtract decimals with a different number of decimal places | |||

35 | Decimals | Multiplying decimals by 10, 100 and 1000 | |

Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000 | |||

36 | Decimals | Multiplying decimals by single-digit numbers | |

Objective: To multiply decimals by single-digit numbers | |||

37 | Decimals | Multiplication of decimals by decimals to two decimal places | |

Objective: To multiply decimals to two digits | |||

38 | Decimals | Dividing decimals by 10, 100 and 1000 | |

Objective: To recognise the pattern formed when decimals are divided by 10, 100 and 1000 | |||

39 | Decimals | Dividing decimals by whole numbers | |

Objective: To divide decimals by whole numbers | |||

40 | Decimals | Dividing numbers by decimals | |

Objective: To divide a whole number by a decimal fraction | |||

41 | Percentages | Understanding percentages | |

Objective: To recognise the percentage symbol and relate a common percentage to a fraction | |||

42 | Percentages | Changing fractions and decimals to percentages tenths and hundredths | |

Objective: To represent fractions and decimals as percentages | |||

43 | Percentages | Changing percentages to fractions and decimals | |

Objective: To change percentages to fractions and decimals | |||

44 | Percentages | One Quantity as a Percentage of Another | |

Objective: To determine what one quantity is as a percentage of another | |||

45 | 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 | |||

46 | 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 | |||

47 | 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 | |||

48 | 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 | |||

49 | Measurement – Capacity | Using the cubic cm and displacement to measure volume and capacity | |

Objective: To find volume and capacity using displacement | |||

50 | 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 | |||

51 | 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 | |||

52 | 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 | |||

53 | Measurement – Capacity | Estimate, measure and compare the capacity of containers | |

Objective: To understand estimation and a way to go about it | |||

54 | Measurement – Capacity | Converting between volume and capacity using milliliters and liters | |

Objective: To solve capacity problems involving mixed dimensional units | |||

55 | Problem solving | Word Problems with Area | |

Objective: To solve area word problems using + – x and / | |||

56 | Problem solving | Word Problems with Volume/Capacity | |

Objective: To solve volume and capacity word problems using + – x and / | |||

57 | Surface area | Surface Area of a Cube/Rectangular Prism | |

Objective: To calculate the surface area of cubes and rectangular prisms | |||

58 | Measurement – Mass | The Kilogram | |

Objective: To recognise which of two (or more) objects has the greater mass | |||

59 | Measurement – Mass | The Gram | |

Objective: To calculate net mass in grams and solve shopping problems involving mass | |||

60 | Space | Using the prefix to determine polygons | |

Objective: To continue sequences of shapes and recognise prefixes and name polygons | |||

61 | Space | Spatial properties of quadrilaterals | |

Objective: To recall and recognise properties of different quadrilaterals | |||

62 | Space | Measure and classify angles | |

Objective: To classify and measure angles and calculate angles in a triangle | |||

63 | Space | Recognise and name triangles | |

Objective: To recall properties of different triangles | |||

64 | Space | Use grids to enlarge/reduce 2-D shapes | |

Objective: To recognise shapes that tessellate and specify position on a grid | |||

65 | Space | Recognise and name prisms according to spatial properties | |

Objective: To name prisms according to the shape of the base | |||

66 | Space | Recognise and name pyramids according to spatial properties | |

Objective: To name pyramids according to the shape of the base | |||

67 | 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 | |||

68 | Space | Viewing 3-D Shapes | |

Objective: To recognise what a solid looks like when viewed from a given direction | |||

69 | Geometry part 2 | Congruent triangles: Tests 1 and 2 | |

Objective: To recognise congruent triangles and matching sides and angles using SSS and SAS | |||

70 | Geometry part 2 | Congruent triangles: Tests 3 and 4 | |

Objective: To recognise congruent triangles and matching sides and angles using AAS and RHS | |||

71 | Geometry part 2 | Proofs and Congruent Triangles | |

Objective: To use congruency in formal proofs in order to determine unknown angles and sides | |||

72 | Geometry part 2 | Similar Triangles | |

Objective: To use similarity tests for triangles and determine unknown sides and angles in triangles | |||

73 | Algebra – Basic | Algebraic Expressions | |

Objective: To simplify numerical expressions and simplify and expand algebraic expressions | |||

74 | Algebra – Basic | Substitution into Algebraic Expressions | |

Objective: To evaluate simple algebraic expressions using whole numbers, fractions and decimals | |||

75 | Algebra – Basic | Simplifying Algebraic Expressions: Adding Like Terms | |

Objective: To simplify numeric and algebraic addition expressions by collecting like terms | |||

76 | Algebra – Basic | Simplifying Algebraic Expressions: Subtracting Like Terms | |

Objective: To simplify algebraic subtractions by collecting like terms | |||

77 | Algebra – Basic | Simplifying Algebraic Expressions: Combining Addition and Subtraction | |

Objective: To simplify expressions containing addition and subtraction and two unlike terms | |||

78 | Algebra – Basic | Simplifying Algebraic Expressions: Multiplication | |

Objective: To simplify algebraic products using (but not stating) the commutative law | |||

79 | Algebra – Basic | Simplifying Algebraic Expressions: Division | |

Objective: To divide algebraic terms where the divisor is a factor of the dividend | |||

80 | Algebra – Basic | Expanding Algebraic Expressions: multiplication | |

Objective: To remove grouping symbols from an expression where the multiplier is monomial | |||

81 | Algebra – Basic | Expanding Algebraic Expressions: Negative multiplier | |

Objective: To expand parentheses when there is a negative multiplier | |||

82 | Algebra – Basic | Expanding and simplifying algebraic expressions | |

Objective: To expand and simplify algebraic expressions involving grouping symbols | |||

83 | Algebra – Basic | Solving Equations containing Addition and Subtraction | |

Objective: To solve one-step equations involving addition or subtraction | |||

84 | Algebra – Basic | Solving Equations containing Multiplication and Division | |

Objective: To solve one-step equations involving multiplication or division | |||

85 | Space | Mapping | |

Objective: To locate places and describe navigation on a map and use a row/column grid | |||

86 | Space | Main and intermediate compass points | |

Objective: To specify direction using the eight points of a compass | |||

87 | Space | Informal coordinate system | |

Objective: To specify location using a map coordinate system – origin top left | |||

88 | Graphs – Basic | Line Graphs | |

Objective: To read and interpret line graphs | |||

89 | Graphs – Basic | Pie and Bar Graphs | |

Objective: To read and interpret pie and bar graphs | |||

90 | Statistics part 1 | Frequency distribution table | |

Objective: To construct a frequency distribution table for raw data and to interpret the table | |||

91 | Statistics part 1 | Frequency histograms and polygons | |

Objective: To construct and interpret frequency histograms and polygons | |||

92 | Statistics part 1 | Relative Frequency | |

Objective: To extend the frequency distribution table to include a relative frequency column | |||

93 | Probability | Simple events | |

Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S) | |||

94 | Probability | Experimental probability | |

Objective: To find the experimental probabilities of an experimental trial | |||

95 | Probability | Experimental probability | |

Objective: To use tree diagrams to determine sample spaces and compound probabilities | |||

96 | Exam | Exam – Grade 7 | |

Objective: Exam |