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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