| # | TOPIC | TITLE | +/- | |
|---|---|---|---|---|
| 1 | Self Assessment | Self Assessment - Grade 7 | Info | Go |
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Objective: Assessment |
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| 2 | Standard/Scientific notation | Scientific notation with larger numbers | Info | Go |
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Objective: To write large numbers in standard or scientific notation |
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| 3 | Standard/Scientific notation | Scientific notation with small numbers | Info | Go |
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Objective: To write small numbers in standard or scientific notation |
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| 4 | Scientific notation | Changing scientific notation to numerals | Info | Go |
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Objective: On completion of the lesson the student will be able to change numbers written in scientific notation to basic numerals and be capable of solving problems on the calculator in scientific notation. |
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| 5 | Basic mathematics part 2 | Solve and record division using known facts and sharing | Info | Go |
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Objective: To divide 100 by its factors and divide 2-digit multiples by factors 1 to 5 |
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| 6 | Basic mathematics part 1 | Subtraction with trading | Info | Go |
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Objective: To subtract 1 and 2-digit numbers with trading |
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| 7 | Basic mathematics part 1 | Addition up to the number 99 | Info | Go |
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Objective: To add two 2-digit numbers to 99 |
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| 8 | Basic mathematics part 1 | Subtraction with Word Problems | Info | Go |
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Objective: To construct suitable subtraction sums in order to solve word problems and puzzles |
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| 9 | Basic mathematics part 2 | Multiplication using extended algorithms | Info | Go |
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Objective: To multiply 3-digit by 1-digit numbers and solve multiplication word problems |
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| 10 | Subtraction | Subtraction involving four digit numbers and beyond using the renaming method. | Info | Go |
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Objective: On completion of the lesson the student will be able to use written methods to solve subtraction problems involving 4 and 5 digit whole numbers. |
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| 11 | Basic mathematics part 2 | Divide whole numbers by a 2-digit divisor | Info | Go |
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Objective: To divide up to 4-digit by 1 or 2-digit numbers with remainders as reduced fractions |
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| 12 | Fractions | Subtracting fractions from whole numbers | Info | Go |
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Objective: To use a diagram and mental strategies to subtract fractions from whole numbers |
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| 13 | Fractions | Adding and subtracting fractions with the same denominator | Info | Go |
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Objective: On completion of the lesson the student will be able to add and subtract fractions with the same denominator. |
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| 14 | Fractions | Adding and subtracting fractions with different denominators | Info | Go |
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Objective: To add fractions with different denominators and the answer is less than 1 |
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| 15 | Fractions | Multiplying fractions by whole numbers | Info | Go |
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Objective: To multiply common fractions by whole numbers |
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| 16 | Fractions | Reducing fractions to lowest equivalent form | Info | Go |
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Objective: To reduce a fraction to its lowest form |
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| 17 | Decimals | Adding decimals with a different number of decimal places | Info | Go |
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Objective: To add decimal numbers with a different number of decimal places |
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| 18 | Decimals | Multiplication of decimals by decimals to two decimal places | Info | Go |
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Objective: To multiply decimals to two digits |
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| 19 | Decimals | Dividing numbers by decimals | Info | Go |
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Objective: To divide a whole number by a decimal fraction |
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| 20 | Algebra - Basic | Directed Numbers: Addition and Subtraction | Info | Go |
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Objective: To add/subtract numbers using a number line - first number and answer can be negative |
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| 21 | Algebra - Basic | Directed Numbers: Multiplication and Division | Info | Go |
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Objective: To multiply and divide directed numbers and evaluate powers of directed numbers |
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| 22 | Indices/Exponents | Adding indices when multiplying terms with the same base | Info | Go |
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Objective: To add indices when multiplying powers that have the same base |
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| 23 | Percentages | Understanding percentages | Info | Go |
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Objective: To recognise the percentage symbol and relate a common percentage to a fraction |
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| 24 | Percentages | Changing fractions and decimals to percentages tenths and hundredths | Info | Go |
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Objective: To represent fractions and decimals as percentages |
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| 25 | Percentages | Changing percentages to fractions and decimals | Info | Go |
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Objective: To change percentages to fractions and decimals |
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| 26 | Percentages | One Quantity as a Percentage of Another | Info | Go |
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Objective: To determine what one quantity is as a percentage of another |
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| 27 | Number sets | Number Sets and Their Members | Info | Go |
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Objective: To distinguish between number sets and identify elements and subsets of number sets |
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| 28 | Decimals | Decimals with whole numbers 10th and 100th | Info | Go |
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Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals |
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| 29 | Decimals | Using decimals - shopping problems | Info | Go |
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Objective: On completion of the lesson the student will be able to: read and interpret problems involving money, interpret the everyday use of decimals, and perform calculations with money. |
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| 30 | Series and sequences part 2 | Compound Interest | Info | Go |
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Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n |
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| 31 | Indices/Exponents | Negative Indices | Info | Go |
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Objective: To evaluate or simplify expressions containing negative indices |
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| 32 | Rules for indices/exponents | Subtracting indices when dividing terms with the same base | Info | Go |
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Objective: On completion of the lesson the student will know how to use the index law of subtraction of powers when dividing terms with the same base. |
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| 33 | Absolute value | Evaluating Absolute Value Expressions | Info | Go |
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Objective: To evaluate numeric and algebraic expressions involving absolute value |
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| 34 | Graphs part 2 | Absolute Value Equations | Info | Go |
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Objective: To graph equations involving absolute values |
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| 35 | Algebra - Basic | Algebraic Expressions | Info | Go |
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Objective: To simplify numerical expressions and simplify and expand algebraic expressions |
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| 36 | Algebra - Basic | Simplifying Algebraic Expressions: Adding Like Terms | Info | Go |
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Objective: To simplify numeric and algebraic addition expressions by collecting like terms |
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| 37 | Algebra - Basic | Simplifying Algebraic Expressions: Subtracting Like Terms | Info | Go |
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Objective: To simplify algebraic subtractions by collecting like terms |
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| 38 | Algebra - Basic | Simplifying Algebraic Expressions: Combining Addition and Subtraction | Info | Go |
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Objective: To simplify expressions containing addition and subtraction and two unlike terms |
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| 39 | Algebra - Basic | Simplifying Algebraic Expressions: Multiplication | Info | Go |
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Objective: To simplify algebraic products using (but not stating) the commutative law |
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| 40 | Algebra - Basic | Simplifying Algebraic Expressions: Division | Info | Go |
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Objective: To divide algebraic terms where the divisor is a factor of the dividend |
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| 41 | Algebra - Basic | Expanding Algebraic Expressions: multiplication | Info | Go |
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Objective: To remove grouping symbols from an expression where the multiplier is monomial |
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| 42 | Algebra - Basic | Expanding Algebraic Expressions: Negative multiplier | Info | Go |
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Objective: To expand parentheses when there is a negative multiplier |
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| 43 | Algebra - Basic | Expanding and simplifying algebraic expressions | Info | Go |
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Objective: To expand and simplify algebraic expressions involving grouping symbols |
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| 44 | Number sets | Addition and Multiplication Properties for Real Numbers | Info | Go |
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Objective: To identify and name addition and multiplication properties for real numbers |
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| 45 | Number sets | Transformations That Produce Equivalent Equations | Info | Go |
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Objective: To name properties of equality used to create equivalent equations and solve equations |
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| 46 | Algebra - Basic | Solving Equations containing Addition and Subtraction | Info | Go |
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Objective: To solve one-step equations involving addition or subtraction |
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| 47 | Graphs - Basic | Picture Graphs | Info | Go |
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Objective: To construct, read and interpret picture graphs |
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| 48 | Data | Column graphs. | Info | Go |
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Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs. |
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| 49 | Graphs - Basic | Line Graphs | Info | Go |
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Objective: To read and interpret line graphs |
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| 50 | Graphs - Basic | Pie and Bar Graphs | Info | Go |
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Objective: To read and interpret pie and bar graphs |
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| 51 | Statistics part 1 | The Scatter plot | Info | Go |
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Objective: To make a valid interpretation of data presented as a scatter plot |
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| 52 | Algebra - Basic | Algebraic fractions resulting in negative Indices | Info | Go |
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Objective: To simplify algebraic fractions using negative indices (as required) in the answer |
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| 53 | Geometry-parabola | The parabola: to describe properties of a parabola from its equation | Info | Go |
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Objective: On completion of the lesson the student will be able to predict the general shape and important features of a parabola and then graph the parabola to check the predictions. |
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| 54 | Graphs part 2 | Graphing cubic curves | Info | Go |
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Objective: To graph cubic curves whose equation is of the form y = (x - a)^3 + b or y = (a - x)^3 + b |
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| 55 | Co-ordinate geometry part 1 | The Gradient | Info | Go |
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Objective: To find the gradient of a line given its angle of inclination or given rise and run |
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| 56 | Coordinate Geometry-straight line | The straight line. | Info | Go |
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Objective: On completion of the lesson the student will be able to draw a line which is parallel to either axis and comment on its gradient, where that gradient exists. |
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| 57 | Problem solving | Problem Solving Strategies | Info | Go |
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Objective: To review problem solving words and an effective problem solving approach |
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| 58 | Problem solving | Word Problems with Length | Info | Go |
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Objective: To solve length word problems using + - x and / |
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| 59 | Problem solving | Word Problems with Volume/Capacity | Info | Go |
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Objective: To solve volume and capacity word problems using + - x and / |
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| 60 | Algebraic equations | Solving two step equations | Info | Go |
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Objective: On completion of the lesson the student will be able to solve two step equations. |
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| 61 | Algebra - Basic | Solving Equations Containing Binomial Expressions | Info | Go |
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Objective: To solve equations with binomial expressions on each side |
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| 62 | Algebra - Basic | Inequalities | Info | Go |
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Objective: To solve algebraic inequalities requiring (at times) change of direction of inequality sign |
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| 63 | Uniform motion | The Speed Formula | Info | Go |
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Objective: To calculate speed, distance or time using speed = distance/time |
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| 64 | Uniform motion | Using Subscripted Variables | Info | Go |
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Objective: To use subscripted variables to solve motion problems |
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| 65 | Uniform motion | Uniform Motion With Equal Distances | Info | Go |
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Objective: To solve motion problems where distances are equal |
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| 66 | Uniform motion | Uniform Motion Adding the Distances | Info | Go |
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Objective: To solve motion problems where total distance travelled is given |
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| 67 | Uniform motion | Uniform motion with unequal distances | Info | Go |
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Objective: On completion of the lesson the student will use subscripted variables for calculations of speed, unequal distances and time. |
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| 68 | Uniform motion | Uniform Motion Problems Where the Rate is Constant | Info | Go |
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Objective: To solve miscellaneous motion problems where the rate is constant |
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| 69 | Measurement - Length | Compare and convert formal units of measurement | Info | Go |
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Objective: To change cm to mm and then convert mm, cm, m and km from one to another |
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| 70 | Length | Read and calculate distances on a map using the formal unit kilometre | Info | Go |
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Objective: On completion of the lesson the student will be able to read distances in kilometres and calculate total distances between different locations on a map. |
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| 71 | Measurement - Area | Finding the Area of a Triangle and Other Composite Shapes | Info | Go |
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Objective: To calculate the area of triangles and measure and calculate composite shape area |
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| 72 | Measurement - Advanced area | Area of a Trapezium | Info | Go |
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Objective: To calculate the area of trapezia using A=(h/2)(a+b) |
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| 73 | Measurement - Advanced area | Area of a Rhombus | Info | Go |
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Objective: To calculate the area of a rhombus using diagonal products |
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| 74 | Measurement - Advanced area | Area of a Circle | Info | Go |
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Objective: To calculate the area of circles and sectors and to solve circle problems |
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| 75 | Measurement - Advanced area | Area of Regular Polygons and Composite Figures | Info | Go |
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Objective: To calculate area of composite figures and solve problems using correct formulae |
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| 76 | Measurement - Advanced volume | Finding the volume of prisms | Info | Go |
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Objective: To calculate the volume of prisms using V=Ah and solve volume problems |
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| 77 | Measurement - Advanced volume | Volume of a Cylinder and Sphere | Info | Go |
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Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each |
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| 78 | Measurement - Advanced volume | Volume of Pyramids and Cones | Info | Go |
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Objective: To calculate the volumes of pyramids and cones |
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| 79 | Volume | Composite solids. | Info | Go |
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Objective: On completion of the lesson the student will be able to: dissect composite solids into simpler shapes so that the volume can be calculated, calculate the volume of a variety of composite solids, and use formulae appropriately. |
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| 80 | Measurement - Volume | Using the Cubic Centimetre to Measure Volume | Info | Go |
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Objective: To use the 1 cm cube as the unit for volume |
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| 81 | Geometry-constructions | Geometric constructions | Info | Go |
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Objective: On completion of the lesson the student will able complete constructions with a ruler and a pair of compasses. |
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| 82 | Geometry part 3 | Points, Lines and Planes | Info | Go |
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Objective: To identify collinear points and coplanar lines and points in 2 and 3 dimensions |
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| 83 | Geometry - angles | To determine angle labelling rules, naming angles according to size, angle bisector properties and related algebra | Info | Go |
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Objective: On completion of the lesson the student will label angles, use a protractor and perform calculations using algebra involving angles. |
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| 84 | Geometry part 3 | Angle Bisector Construction and its Properties | Info | Go |
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Objective: To geometrically bisect angles and calculate angle size given bisection |
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| 85 | Geometry part 3 | Circumcenter and Incenter | Info | Go |
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Objective: To use properties of triangles, circles, circumcentres and incentres |
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| 86 | Geometry part 3 | Orthocentre and Centroids | Info | Go |
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Objective: To use properties of triangles, circles orthocentres and centroids |
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| 87 | Geometry part 3 | Midsegments | Info | Go |
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Objective: To determine midsegments, their length, slope and other properties |
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| 88 | Co-ordinate geometry part 2 | Transformations: Reflections | Info | Go |
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Objective: To identify reflections and to use isometric properties of reflections |
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| 89 | Geometry transformations | Geometry Transformations without Matrices: Translation | Info | Go |
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Objective: To find the image of a point or object after a translation |
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| 90 | Geometry transformations | Geometry Transformations without Matrices: Rotation | Info | Go |
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Objective: To determine rotation angle and to perform prescribed rotations |
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| 91 | Pythagoras | Pythagoras' Theorem: Finding the Hypotenuse | Info | Go |
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Objective: To calculate the length of a hypotenuse using Pythagoras' Theorem |
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| 92 | Pythagoras | Using Pythagorean Triples to Identify Right Triangles | Info | Go |
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Objective: To identify right triangles by using Pythagorean Triples or Pythagoras' Theorem |
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| 93 | Pythagoras | Calculating the Hypotenuse of a right-angled Triangle | Info | Go |
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Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals |
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| 94 | Pythagoras | Calculating a Leg of a right-angled Triangle | Info | Go |
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Objective: To calculate the length of sides other than the hypotenuse using Pythagoras' Theorem |
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| 95 | Geometry-congruence | Congruent triangles, Test 1 and 2 | Info | Go |
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Objective: On completion of the lesson the student will be able to identify which test to use to show two triangles are congruent. |
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| 96 | Geometry part 2 | Congruent triangles: Tests 3 and 4 | Info | Go |
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Objective: To recognise congruent triangles and matching sides and angles using AAS and RHS |
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| 97 | Geometry part 2 | Proofs and Congruent Triangles | Info | Go |
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Objective: To use congruency in formal proofs in order to determine unknown angles and sides |
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| 98 | Surface area | Surface Area of a Cylinder and Sphere | Info | Go |
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Objective: To calculate the surface area of cylinders and spheres |
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| 99 | Surface area | Surface Area of Composite Solids | Info | Go |
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Objective: To calculate the surface area of composite solids |
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| 100 | Decimals | Subtracting decimals to two decimal places | Info | Go |
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Objective: To subtract decimals with the same number of decimal places (to two decimal places) |
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| 101 | Decimals | Multiplying decimals by 10, 100 and 1000 | Info | Go |
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Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000 |
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| 102 | Decimals | Intro to Decimals | Info | Go |
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Objective: To relate the equivalent fraction to a decimal |
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| 103 | Exam | Exam - Grade 7 | Info | Go |
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Objective: Exam |
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