| 1 |
Study Plan |
Study plan – Year 8 |
| Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision. |
| 2 |
Algebraic expressions |
Algebraic expressions. |
| Objective: On completion of the lesson the student will understand some of the short cuts used in writing algebraic expressions, and the student will be able to write algebraic expressions down in a way that is easier to understand. |
| 3 |
Algebraic expressions |
Substitution into algebraic expressions. |
| Objective: On completion of the lesson the student will be able to replace pronumerals with numbers, and then perform the correct operations. |
| 4 |
Algebraic expressions |
Directed numbers: addition and subtraction. |
| Objective: On completion of the lesson the student will be able to add and subtract positive and negative numbers in any combination, and understand adding and subtracting positive and negative pronumerals. |
| 5 |
Algebraic expressions |
Directed numbers: multiplication and division. |
| Objective: On completion of the lesson the student will understand which combinations of signs produce a positive answer and which ones produce a negative answer. |
| 6 |
Algebraic expressions |
Simplifying algebraic expressions: adding like terms. |
| Objective: On completion of the lesson the student will be able to simplify and evaluate numerical expressions containing patterns, and be able to simplify algebraic expressions that contain like terms. |
| 7 |
Algebraic expressions |
Simplifying algebraic Expressions: subtracting like terms. |
| Objective: On completion of the lesson the student will be able to recognise the difference between like and unlike terms, and be able to simplify an expression using subtraction. |
| 8 |
Algebraic expressions |
Simplifying Algebraic expressions: combining addition and subtraction. |
| Objective: On completion of the lesson the student will understand how to approach algebraic expressions questions and avoid the most common mistakes. |
| 9 |
Algebraic expressions |
Simplifying algebraic expressions: multiplication |
| Objective: On completion of the lesson the student will be able to simplify expressions involving multiplication of pronumerals and write them in the simplest form. |
| 10 |
Algebraic expressions |
Simplifying algebraic expressions: division |
| Objective: On completion of the lesson the student will be able to use all the operations needed for simplifying algebraic expressions. |
| 11 |
Algebraic expressions |
Expanding algebraic expressions: multiplication |
| Objective: On completion of the lesson the student will be able mentally to multiply and remove parentheses from simple algebraic expressions in one step. |
| 12 |
Algebraic expressions |
Expanding algebraic expressions: negative multiplier |
| Objective: On completion of the lesson the student will be able to expand expressions using a negative multiplier. |
| 13 |
Algebraic expressions |
Expanding and simplifying algebraic expressions |
| Objective: On completion of the lesson the student will be familiar with expanding and simplifying algebraic expressions. |
| 14 |
Algebraic equations |
Solving equations containing addition and subtraction |
| Objective: On completion of the lesson the student will understand how solve simple equations involving addition and subtraction by moving everything but the pronumeral onto one side of the equation, leaving the pronumeral by itself on the other side. |
| 15 |
Algebraic equations |
Solving equations containing multiplication and division |
| Objective: On completion of the lesson the student will be able to solve simple equations involving all operations. |
| 16 |
Algebraic equations |
Solving two step equations |
| Objective: On completion of the lesson the student will be able to solve two step equations. |
| 17 |
Number theory – sets |
Number sets and their members |
| Objective: On completion of the lesson the student will understand the notation used with sets and the subsets of the real number system. |
| 18 |
Number theory – operations |
Properties of real numbers using addition and multiplication |
| Objective: On completion of the lesson the student will know and use the closure, identity, commutative, associative, identity and distributive properties for addition and multiplication. |
| 19 |
Number theory – equations |
Transformations that produce equivalent equations |
| Objective: On completion of the lesson the student will know and use the correct terms to describe the processes in solving equations. |
| 20 |
Length |
Read and calculate distances on a map using the formal unit kilometre |
| 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. |
| 21 |
Lines and angles |
Main and intermediate compass points |
| Objective: On completion of the lesson the student will be able to use main and intermediate compass points to specify location. |
| 22 |
Trigonometry-compass |
Bearings – the compass. |
| Objective: On completion of the lesson the student will be able to identify compass bearings, compass bearings with acute angles and 3 figure bearings from true north. |
| 23 |
Statistic-probability |
The mode |
| Objective: On completion of the lesson the student will understand how to find the mode from raw data, a frequency distribution table and polygon. |
| 24 |
Statistic-probability |
The mean |
| Objective: On completion of the lesson the student will be able to calculate means from raw data and from a frequency table using an fx column. |
| 25 |
Statistic-probability |
The median |
| Objective: On completion of the lesson the student will be able to determine the median of a set of raw scores |
| 26 |
Statistic-probability |
Cumulative frequency |
| Objective: On completion of the lesson the student will be able to construct cumulative frequency columns, histograms and polygons. |
| 27 |
Statistic-probability |
Calculating the median from a frequency distribution |
| Objective: On completion of the lesson the student will be able to determine the median from a cumulative frequency polygon. |
| 28 |
Statistic-probability |
Probability of Simple Events |
| Objective: On completion of the lesson the student will be able to understand the probability of simple events. |
| 29 |
Statistic-probability |
Rolling a pair of dice |
| Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results when 2 dice are thrown simultaneously. |
| 30 |
Statistic-probability |
Experimental probability |
| Objective: On completion of this lesson the student will be able to find the probabilities in an experimental trial. |
| 31 |
Statistic-probability |
Tree diagrams – not depending on previous outcomes |
| Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of a multi stage probability problem and then finding probabilities of certain events not depending on previous outcomes. |
| 32 |
Statistic-probability |
Tree diagrams – depending on previous outcomes |
| Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of other multi stage probability problems and then finding probabilities of certain events depending on previous outcomes. |
| 33 |
Statistic-probability |
The complementary result .. |
| Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results where the complementary event is involved. |
| 34 |
Statistics – Range and dispersion |
Range as a measure of dispersion |
| Objective: On completion of the lesson the student will be able to determine the range and using it in decision making. |
| 35 |
Statistics |
Stem and Leaf Plots along with Box and Whisker Plots |
| Objective: On completion of the lesson the student will be familiar with vocabulary for statistics including quartiles, mode, median, range and the representation of this information on a Box and Whisker Plot. |
| 36 |
Statistics |
Scatter Diagrams |
| Objective: On completion of the lesson the student will be able to construct scatter plots and draw conclusions from these. |
| 37 |
Pythagoras |
Find the hypotenuse |
| Objective: On completion of this lesson the student will be able to use Pythagoras’ Theorem to calculate the length of the hypotenuse. |
| 38 |
Pythagoras |
Pythagorean triples |
| Objective: On completion of the lesson the student will be able to use the 3-4-5 Pythagorean triple. |
| 39 |
Pythagoras |
Find the hypotenuse Part 2 |
| Objective: On completion of this lesson the student will be able to use Pythagoras’ Theorem to calculate the length of the hypotenuse using decimals and surds. |
| 40 |
Pythagoras |
Calculating a leg of a right-angled triangle |
| Objective: On completion of this lesson the student will be able to use Pythagoras’ Theorem to calculate the length of one of the shorter sides of a right triangle. |
| 41 |
Pythagoras |
Proofs of Pythagoras theorem |
| Objective: On completion of this lesson the student will have geometric proofs for Pythagoras’ Theorem |
| 42 |
Surds |
Introducing surds |
| Objective: On completion of the lesson the student will be able to identify and know the properties of surds as irrational numbers and be able to distinguish them from rational numbers. |
| 43 |
Algebraic equations |
Solving equations containing binomial expressions |
| Objective: On completion of the lesson the student will be able to move terms in binomial equations. |
| 44 |
Algebraic equations |
Equations involving grouping symbols. |
| Objective: On completion of the lesson the student will be able to solve equations using grouping symbols |
| 45 |
Algebraic equations |
Equations involving fractions. |
| Objective: On completion of the lesson the student will know how to solve equations using fractions. |
| 46 |
Algebra- formulae |
Equations resulting from substitution into formulae. |
| Objective: On completion of the lesson the student will be able to substitute into formulae and then solve the resulting equations. |
| 47 |
Algebra- formulae |
Changing the subject of the formula. |
| Objective: On completion of the lesson the student will be able to move pronumerals around an equation using all the rules and operations covered previously. |
| 48 |
Algebra-inequalities |
Solving Inequalities. |
| Objective: On completion of the lesson the student will understand the ‘greater than’ and ‘less than’ signs, and be able to perform simple inequalities. |
| 49 |
Algebra-factorising |
Simplifying easy algebraic fractions. |
| Objective: On completion of the lesson the student will understand how to simplify algebraic fractions by factorising. |
| 50 |
Algebraic fractions |
Simplifying algebraic fractions using the index laws. |
| Objective: On completion of the lesson the student will be able to simplify most algebraic fractions using different methodologies. |
| 51 |
Algebra-negative indices |
Algebraic fractions resulting in negative indices. |
| Objective: On completion of the lesson the student will be able to understand how to simplify an algebraic fractional expression with a negative index, and also how to write such an expression without a negative index. |
| 52 |
Factorisation |
Factorisation of algebraic fractions including binomials. |
| Objective: On completion of the lesson the student should be able to simplify more complex algebraic fractions using a variety of methods. |
| 53 |
Algebraic fractions-binomial |
Cancelling binomial factors in algebraic fractions. |
| Objective: On completion of the lesson the student should be able to factorise binomials to simplify fractions. |
| 54 |
Absolute value or modulus |
Simplifying absolute values |
| Objective: On completion of the lesson the student will be able to simplify expressions involving absolute values or the modulus of real numbers. |
| 55 |
Absolute value or modulus |
Solving for the variable |
| Objective: On completion of the lesson the student will be able to solve equations involving a single absolute value. |
| 56 |
Absolute value or modulus |
Solving and graphing inequalities |
| Objective: On completion of the lesson the student will be able to solve inequalities involving one absolute value. |
| 57 |
Coordinate Geometry-the plane |
Distance formula. |
| Objective: On completion of the lesson the student will be able to calculate the distance between any two points on the number plane and interpret the results. |
| 58 |
Coordinate Geometry-midpoint, slope |
Mid-point formula |
| Objective: On completion of the lesson the student will be able to understand the mid point formula and use it practically. |
| 59 |
Coordinate Geometry-gradient |
Gradient |
| Objective: On completion of the lesson the student will be able to calculate the gradient of a line given its inclination, or angle to the positive direction of the x-axis; or its rise and run. |
| 60 |
Coordinate Geometry-gradient |
Gradient formula. |
| Objective: On completion of the lesson the student will be able to calculate the gradient of a line given any two points on the line and also be capable of checking whether 3 or more points lie on the same line and what an unknown point will make to parallel lines. |
| 61 |
Coordinate Geometry-straight line |
The straight line. |
| 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. |
| 62 |
Coordinate Geometry-slope, etc. |
Lines through the origin. |
| Objective: On completion of the lesson the student will be able to draw a line which passes through the origin of the form y=mx and comment on its gradient compared to the gradients of other lines through the origin and use the information to solve problems. |
| 63 |
Coordinate Geometry-equation of line |
General form of a line and the x and y Intercepts. |
| Objective: On completion of the lesson the student will be able to change the equation of a straight line from the form, written as y=mx+c, into the general form and vice versa. |
| 64 |
Coordinate Geometry-intercept |
Slope intercept form of a line. |
| Objective: On completion of the lesson the student will be able to find the slope and intercept given the equation and given the slope and intercept, derive the equation. |
| 65 |
Coordinate Geometry-point slope |
Point slope form of a line |
| Objective: On completion of the lesson the student will understand how to derive the equation of a straight line given the gradient and a point on the line. |
| 66 |
Co-ordinate Geometry-Two point formula |
Two point formula: equation of a line which joins a pair of points. |
| Objective: On completion of the lesson the student will be able to calculate the equation of a line given any two named points on the line. |
| 67 |
Co-ordinate Geometry-Intercept form |
Intercept form of a straight line: find the equation when given x and y |
| Objective: On completion of the lesson the student will have an effective and efficient method for calculating the equation of a straight line. |
| 68 |
Co-ordinate Geometry-Parallel lines equations |
Parallel lines: identify equation of a line parallel to another |
| Objective: On completion of the lesson the student will be able to decide if two or more lines are parallel or not and to solve problems involving parallel lines. |
| 69 |
Co-ordinate Geometry-Perpendicular lines |
Perpendicular lines. |
| Objective: On completion of the lesson the student will be able to derive the equation of a line, given that it is perpendicular to another stated line. |
| 70 |
Co-ordinate Geometry-Inequalities |
Inequalities on the number plane. |
| Objective: On completion of the lesson the student will be able to derive the expression for an inequality given its graph. The student will also be able to solve some problems using inequalities. |
| 71 |
Quadratic equations |
Solving simultaneous quadratic equations graphically |
| Objective: On completion of the lesson the student will better understand why quadratic equations have two solutions and will be capable of solving quadratic equations and problems graphically.. |
| 72 |
Fractions |
Comparing and ordering fractions |
| Objective: On completion of the lesson the student will be able to compare and order fractions with the same number of equal parts, and compare and order fractions with a different number of equal parts. |
| 73 |
Fractions |
mixed numbers (mixed numerals) |
| Objective: On completion of the lesson the student will be able to: name and recognise mixed numbers (mixed numerals), count by halves and quarters, and use a number line to represent halves and quarters beyond one. |
| 74 |
Fractions |
Improper fractions |
| Objective: On completion of the lesson the student will be able to: use diagrams and number lines to recognise and represent mixed numbers and improper fractions, and develop strategies for changing improper fractions to mixed numbers and vice versa, mentally. |
| 75 |
Fractions |
Reducing fractions to lowest equivalent form |
| Objective: On completion of the lesson the student will be able to reduce a fraction to its lowest equivalent form by dividing the numerator and denominator by a common factor. |
| 76 |
Fractions |
Comparing and ordering fractions greater than (>) 1 |
| Objective: On completion of the lesson the student will be able to use diagrams, number lines and equivalent fractions to compare and order fractions greater than (>) one. |
| 77 |
Fractions |
Subtracting fractions from whole numbers |
| Objective: On completion of the lesson the student will be able to: use a diagram to subtract fractions from a whole number, develop mental strategies for subtracting fractions from whole numbers, and recognise and use the written form for subtracting fractions from |
| 78 |
Fractions |
Adding and subtracting fractions with the same denominator |
| Objective: On completion of the lesson the student will be able to add and subtract fractions with the same denominator. |
| 79 |
Fractions |
Multiplying fractions |
| Objective: On completion of the lesson the student will be able to multiply fractions and reduce the answer to its lowest form. |
| 80 |
Fractions |
Multiplying mixed numbers (mixed numerals) |
| Objective: On completion of the lesson the student will be able to multiply mixed numbers (mixed numerals) and reduce the answer to its lowest form. |
| 81 |
Fractions |
Finding reciprocals of fractions and mixed numbers (mixed numerals) |
| Objective: On completion of the lesson the student will be able to find the reciprocals of fractions and mixed numbers (mixed numerals). |
| 82 |
Fractions |
Dividing fractions |
| Objective: On completion of the lesson the student will be able to divide fractions. |
| 83 |
Fractions |
Dividing mixed numbers (mixed numerals) |
| Objective: On completion of the lesson the student will be able to divide mixed numbers (mixed numerals). |
| 84 |
Rules properties |
Using Order of Operation procedures (BIDMAS) with Fractions |
| Objective: On completion of the lesson the student will know how to apply the order of operations rules to simplify expressions with integers and fractions. |
| 85 |
Decimals |
Rounding decimals |
| Objective: On completion of the lesson the student will be able to round a number with one or two decimal places to the nearest whole number. |
| 86 |
Decimals |
Decimals to three decimal places |
| Objective: On completion of the lesson the student will be able to express thousandths as a decimal and interpret decimal notation for thousandths. |
| 87 |
Decimals |
Adding decimals with a different number of decimal places |
| Objective: On completion of the lesson the student will be able to add decimal numbers with different numbers of decimal places. |
| 88 |
Decimals |
Subtracting decimals with a different number of places |
| Objective: On completion of the lesson the student will be able to subtract decimals with different numbers of decimal places. |
| 89 |
Decimals |
Dividing numbers by a decimal fraction |
| Objective: On completion of the lesson the student will be able to divide numbers by a decimal fraction. |
| 90 |
Percentages |
Changing fractions and decimals to percentages using tenths and hundredths |
| Objective: On completion of the lesson the student will be able to change simple fractions to percentages and decimals to percentages by using place value conversion. |
| 91 |
Percentages |
One quantity as a percentage of another |
| Objective: On completion of the lesson the student will be able to find a percentage of an amount and how to express one quantity as a percentage of another. |
| 92 |
Geometry-constructions |
Geometric constructions |
| Objective: On completion of the lesson the student will able complete constructions with a ruler and a pair of compasses. |
| 93 |
Geometry |
To identify collinear points, coplanar lines and points in 2 and 3 dimensions |
| Objective: On completion of the lesson the student will use correct terms to describe points, lines, intervals and rays. |
| 94 |
Geometry – angles |
To determine angle labelling rules, naming angles according to size, angle bisector properties and related algebra |
| Objective: On completion of the lesson the student will label angles, use a protractor and perform calculations using algebra involving angles. |
| 95 |
Geometry-constructions |
Angle bisector construction and its properties (Stage 2) |
| Objective: On completion of the lesson the student will be able to bisect an angle using a pair of compasses and a straight edge. |
| 96 |
Geometry-constructions |
Circumcentre and incentre (Stage 2) |
| Objective: On completion of the lesson the student will be able geometrically construct the circumcentre and incentre for a triangle and to use Pythagoras’ Theorem to calculate values. |
| 97 |
Geometry-constructions |
Orthocentre and centroids (Stage 2) |
| Objective: On completion of the lesson the student will be able geometrically construct the orthocentre and centroid for a triangle and to use algebra to calculate values. |
| 98 |
Geometry-quadrilaterals |
Midsegments of Triangles |
| Objective: On completion of the lesson the student will be able to use coordinate geometry to apply the midsegment properties of a triangle. |
| 99 |
Geometry-quadrilaterals |
Classifying Quadrilaterals |
| Objective: On completion of this lesson the student will understand the properties that classify quadrilaterals. |
| 100 |
Geometry-quadrilaterals |
Using the Properties of a Parallelogram |
| Objective: On completion of this lesson the student will be able to use and prove the properties of a parallelogram. |
| 101 |
Geometry-quadrilaterals |
Proving a Shape is a Parallelogram |
| Objective: On completion of this lesson the student will be able to use properties to prove a given quadrilateral is a parallelogram. |
| 102 |
Geometry-quadrilaterals |
Properties of the Rectangle, Square and Rhombus |
| Objective: On completion of this lesson students will be able to use the properties of the rectangle, square and rhombus for formal proofs and to find values. |
| 103 |
Geometry-quadrilaterals |
Properties of the Trapezium and Kite |
| Objective: On completion of this lesson students will be able to use the properties of the trapezium and kite for formal proofs and to find values. |
| 104 |
Geometry-quadrilaterals |
The quadrilateral family and coordinate methods in geometry |
| Objective: On completion of this lesson the student will know the relationships between quadrilaterals and use coordinate methods to prove some of the properties. |
| 105 |
Geometry problems |
More difficult exercises involving parallel lines |
| Objective: On completion of the lesson the student will able to identify corresponding, co-interior and alternate angles in questions that are more difficult than previously completed. Students will also learn to use other geometric properties as well as set out log |
| 106 |
Geometry-polygons |
Angles of regular polygons |
| Objective: On completion of the lesson the student will be able to identify and use the angle sum of a polygon formula, and understand that the external angles of a polygon add up to 360 degrees. |
| 107 |
Geometry-congruence |
Congruent triangles, Test 1 and 2 |
| Objective: On completion of the lesson the student will be able to identify which test to use to show two triangles are congruent. |
| 108 |
Geometry-congruence |
Congruent triangles, Test 3 and 4 |
| Objective: On completion of the lesson the student will be able to identify other tests to use to show two triangles are congruent. |
| 109 |
Area |
Area of a trapezium. |
| Objective: On completion of the lesson the student will be able calculate the area of all types of different shaped trapeziums using a given formula. |
| 110 |
Area |
Area of a rhombus. |
| Objective: On completion of the lesson the student will be able to: identify a rhombus, learn how to find the formula for the area of a rhombus, and use it in solving problems. |
| 111 |
Area |
Area of a circle. |
| Objective: On completion of the lesson the student will be able calculate the area of a circle, and also calculate the radius and diameter of a circle. |
| 112 |
Area |
Area of regular polygons and composite figures. |
| Objective: On completion of the lesson the student will be able calculate the area of a number of different shapes by applying the appropriate formula. |
| 113 |
Volume |
Solving Problems about Volume – Part 1. |
| Objective: On completion of the lesson the student will be able to apply strategies to solve problems using rectangular prisms. |
| 114 |
Volume |
Solving Problems about Volume – Part 2. |
| Objective: On completion of the lesson the student will be able to apply strategies to solve problems using rectangular prisms and larger unit. |
| 115 |
Capacity |
Converting between volume and capacity using millilitres and litres |
| Objective: On completion of the lesson the student will be able to convert between units of capacity. |
| 116 |
Volume |
Finding the volume of prisms |
| Objective: On completion of the lesson the student will be able to: use formulae to find the volume of prisms, calculate the volume of a variety of prisms, and explain the relationship between units of length and units of volume. |
| 117 |
Volume |
Volume of a cylinder and sphere. |
| Objective: On completion of the lesson the student will be able to: calculate the volume of cylinders, spheres and hemispheres using the appropriate formulae, and use the relationship between litres and other measures of volume. |
| 118 |
Volume |
Volume of pyramids and cones. |
| Objective: On completion of the lesson the student will be able to: use formulae to find the volume of right pyramids and cones, and calculate the volume of a variety of pyramids and cones. |
| 119 |
Volume |
Composite solids. |
| 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. |
| 120 |
Mass |
Problems with mass. |
| Objective: On completion of the lesson the student will be able to solve problems with mass. |
| 121 |
Area |
Problems with area. |
| Objective: On completion of the lesson the student will be able to solve problems with area. |
| 122 |
Volume/capacity |
Problems with volume/capacity. |
| Objective: Problem Solving: problems involving volume/capacity |
| 123 |
Surface area |
Surface area of a cube/rectangular prism. |
| Objective: On completion of the lesson the student will be able calculate the surface area of a number of different shapes by applying the appropriate formula. |
| 124 |
Surface area |
Surface area of a triangular/trapezoidal prism. |
| Objective: On completion of the lesson the student will be able calculate the surface area of a number of triangular and trapezoidal shapes by applying the appropriate formula. |
| 125 |
Surface area |
Surface area of a cylinder and sphere. |
| Objective: On completion of the lesson the student will be able calculate the surface area of different cylindrical and spherical shapes by applying the appropriate formula. |
| 126 |
Surface area |
Surface area of pyramids |
| Objective: On completion of the lesson the student will be able to find the surface areas of pyramids. |
| 127 |
Surface area |
Surface area of cones |
| Objective: On completion of the lesson the student will be able to find the surface areas of cones by finding the area or the base ‘p r . ‘and the area of the curved surface ‘ p r l’. The student will also be able to find the slant height ‘l’ given the perpendicul |
| 128 |
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. |
| 129 |
Logic |
Inductive and deductive reasoning |
| Objective: On completion of this lesson the student will understand and use the terms hypothesis, conclusion, inductive and deductive. |
| 130 |
Logic |
Definition and use of counter examples |
| Objective: On completion of this lesson the student will be able to create counter examples to statements. |
| 131 |
Logic |
Indirect proofs |
| Objective: On completion of the lesson the student will be able to use indirect proofs by assuming the opposite of the statement being proved. |
| 132 |
Rules for indices/exponents |
Adding indices when multiplying terms with the same base |
| Objective: On completion of the lesson the student will know how to use the index law of addition of powers when multiplying terms with the same base. |
| 133 |
Rules for indices/exponents |
Subtracting indices when dividing terms with the same base |
| 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. |
| 134 |
Rules for indices/exponents |
Multiplying indices when raising a power to a power |
| Objective: On completion of the lesson the student will use the law of multiplication of indices when raising a power to a power. |
| 135 |
Rules for indices/exponents |
Multiplying indices when raising to more than one term |
| Objective: On completion of the lesson the student will be able to use the law of multiplication of indices when raising more than one term to the same power. |
| 136 |
Rules for indices/exponents |
Terms raised to the power of zero |
| Objective: On completion of the lesson the student will learn how to evaluate or simplify terms that are raised to the power of zero. |
| 137 |
Rules for indices/exponents |
Negative Indices |
| Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing negative indices. |
| 138 |
Fractional indices/exponents |
Fractional indices |
| Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing fractional indices. |
| 139 |
Fractional indices/exponents |
Complex fractions as indices |
| Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing complex fractional indices. |
| 140 |
Scientific notation |
Scientific notation with larger numbers |
| Objective: On completion of the lesson the student will be able to change numbers greater than 1 to scientific notation. |
| 141 |
Scientific notation |
Scientific notation with small numbers |
| Objective: On completion of the lesson the student will be able to change numbers between zero and 1 to scientific notation. |
| 142 |
Scientific notation |
Changing scientific notation to numerals |
| 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. |
| 143 |
Significant figures |
Significant figures |
| Objective: On completion of the lesson the student will be able to observe how many significant figures are in a number and how to express a number to a certain level of significant figures. |
| 144 |
Translations |
Transformations – reflections |
| Objective: On completion of the lesson the student will be able to take a pre-image and using the appropriate techniques, accurately show its image after reflection. |
| 145 |
Geometric transformations |
Geometry transformations without matrices: reflection (Stage 2) |
| Objective: On completion of this lesson the student will use and understand the language used in geometric transformations and perform reflections in a number plane. |
| 146 |
Geometric transformations |
Geometry transformations without matrices: translation (Stage 2) |
| Objective: On completion of this lesson the student will perform translations in a number plane. |
| 147 |
Geometric transformations |
Geometry transformations without matrices: rotation (Stage 2) |
| Objective: On completion of this lesson the student will perform and construct rotations. |
| 148 |
Geometric transformations |
Geometry transformations without matrices: dilation or enlargement (Stage 2) |
| Objective: On completion of this lesson the student will perform the non-congruent transformation of dilation or emlargement and calculate scale factor. |
| 149 |
Geometric transformations |
The definition and concept of combined transformations resulting in an equivalent single transformation. |
| Objective: On completion of this lesson the student will combine reflections and glide transformations to produce single isometric transformations. |
| 150 |
Functions |
Definition, domain and range |
| Objective: On completion of this lesson the student will be able to select functions from relations by referring to the domain and range. |
| 151 |
Functions |
Notation and evaluations |
| Objective: On completion of the lesson the student will be understand different notations for functions. |
| 152 |
Functions |
More on domain and range |
| Objective: On completion of the lesson the student will be able to describe the domain and range using appropriate set notation. |
| 153 |
Functions |
Domain and range from graphical representations |
| Objective: On completion of the lesson the student will be able to describe the domain and range using appropriate set notation from graphical representations. |
| 154 |
Exam |
Exam – Year 8 – Level 5 |
| Objective: Exam |
