| # | TOPIC | TITLE | +/- | |
|---|---|---|---|---|
| 1 | Study Plan | Study plan - Jnr Cert Higher 2nd Year | Info | Go |
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Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision. |
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| 2 | Area | Area of a trapezium. | Info | Go |
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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. |
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| 3 | Area | Area of a rhombus. | Info | Go |
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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. |
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| 4 | Area | Area of a circle. | Info | Go |
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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. |
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| 5 | Area | Area of regular polygons and composite figures. | Info | Go |
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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. |
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| 6 | Volume | Finding the volume of prisms | Info | Go |
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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. |
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| 7 | Volume | Volume of a cylinder and sphere. | Info | Go |
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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. |
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| 8 | Volume | Volume of pyramids and cones. | Info | Go |
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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. |
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| 9 | 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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| 10 | Decimals | Multiplication of decimals by decimals to two decimal places | Info | Go |
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Objective: On completion of the lesson the student will be able to multiply decimals to two digits. |
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| 11 | Decimals | Dividing decimals by 10, 100 and 1000 | Info | Go |
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Objective: On completion of the lesson the student will be able to divide decimal numbers by one hundred and recognise the pattern formed when decimals are divided by ten, one hundred and one thousand. |
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| 12 | Decimals | Dividing decimal fractions by whole numbers | Info | Go |
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Objective: On completion of the lesson the student will be able to divide decimal fractions by whole numbers. |
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| 13 | Decimals | Dividing numbers by a decimal fraction | Info | Go |
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Objective: On completion of the lesson the student will be able to divide numbers by a decimal fraction. |
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| 14 | Percentages | Introduction to percentages, including relating common fractions to percentages | Info | Go |
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Objective: On completion of the lesson the student will be able to recognise that the symbol % means 'per cent' and relate common fractions to a percentage. |
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| 15 | Percentages | Changing fractions and decimals to percentages using tenths and hundredths | Info | Go |
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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. |
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| 16 | Percentages | Changing percentages to fractions and decimals | Info | Go |
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Objective: On completion of the lesson the student will be able to change percentages to fractions and know how to change percentages to decimals. |
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| 17 | Percentages | One quantity as a percentage of another | Info | Go |
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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. |
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| 18 | Percentages | Calculating Percentages and Fractions of Quantities | Info | Go |
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Objective: To find percentages and fractions of quantities and solve problems with percentages |
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| 19 | Equations | Problem solving strategies | Info | Go |
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Objective: On completion of the lesson the student will be able to recall the steps in a strategy for solving word problems. |
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| 20 | Number problems | Problems with numbers. | Info | Go |
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Objective: On completion of the lesson the student will be able to solve problems with numbers using a problem solving strategy. |
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| 21 | Length | Problems with length. | Info | Go |
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Objective: On completion of the lesson the student will be able to solve problems with length. |
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| 22 | Mass | Problems with mass. | Info | Go |
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Objective: On completion of the lesson the student will be able to solve problems with mass. |
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| 23 | Area | Problems with area. | Info | Go |
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Objective: On completion of the lesson the student will be able to solve problems with area. |
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| 24 | Volume/capacity | Problems with volume/capacity. | Info | Go |
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Objective: Problem Solving: problems involving volume/capacity |
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| 25 | Surface area | Surface area of a cube/rectangular prism. | Info | Go |
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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. |
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| 26 | Surface area | Surface area of a triangular/trapezoidal prism. | Info | Go |
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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. |
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| 27 | Surface area | Surface area of a cylinder and sphere. | Info | Go |
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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. |
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| 28 | Surface area | Surface area of pyramids | Info | Go |
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Objective: On completion of the lesson the student will be able to find the surface areas of pyramids. |
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| 29 | Surface area | Surface area of cones | Info | Go |
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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 |
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| 30 | Surface area | Surface area of composite solids | Info | Go |
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Objective: On completion of the lesson the student will be able to find the surface areas of Composite solids. |
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| 31 | Algebraic expressions | Algebraic expressions. | Info | Go |
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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. |
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| 32 | Algebraic expressions | Substitution into algebraic expressions. | Info | Go |
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Objective: On completion of the lesson the student will be able to replace pronumerals with numbers, and then perform the correct operations. |
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| 33 | Algebraic expressions | Directed numbers: addition and subtraction. | Info | Go |
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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. |
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| 34 | Algebraic expressions | Directed numbers: multiplication and division. | Info | Go |
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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. |
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| 35 | Algebraic expressions | Simplifying algebraic expressions: adding like terms. | Info | Go |
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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. |
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| 36 | Algebraic expressions | Simplifying algebraic Expressions: subtracting like terms. | Info | Go |
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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. |
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| 37 | Algebraic expressions | Simplifying Algebraic expressions: combining addition and subtraction. | Info | Go |
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Objective: On completion of the lesson the student will understand how to approach algebraic expressions questions and avoid the most common mistakes. |
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| 38 | Algebraic expressions | Simplifying algebraic expressions: multiplication | Info | Go |
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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. |
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| 39 | Algebraic expressions | Simplifying algebraic expressions: division | Info | Go |
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Objective: On completion of the lesson the student will be able to use all the operations needed for simplifying algebraic expressions. |
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| 40 | Algebraic expressions | Expanding algebraic expressions: multiplication | Info | Go |
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Objective: On completion of the lesson the student will be able mentally to multiply and remove parentheses from simple algebraic expressions in one step. |
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| 41 | Algebraic expressions | Expanding algebraic expressions: negative multiplier | Info | Go |
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Objective: On completion of the lesson the student will be able to expand expressions using a negative multiplier. |
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| 42 | Algebraic expressions | Expanding and simplifying algebraic expressions | Info | Go |
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Objective: On completion of the lesson the student will be familiar with expanding and simplifying algebraic expressions. |
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| 43 | Algebraic equations | Solving equations containing addition and subtraction | Info | Go |
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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. |
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| 44 | Algebraic equations | Solving equations containing multiplication and division | Info | Go |
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Objective: On completion of the lesson the student will be able to solve simple equations involving all operations. |
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| 45 | 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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| 46 | Algebraic equations | Solving equations containing binomial expressions | Info | Go |
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Objective: On completion of the lesson the student will be able to move terms in binomial equations. |
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| 47 | Algebraic equations | Equations involving grouping symbols. | Info | Go |
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Objective: On completion of the lesson the student will be able to solve equations using grouping symbols |
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| 48 | Algebraic equations | Equations involving fractions. | Info | Go |
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Objective: On completion of the lesson the student will know how to solve equations using fractions. |
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| 49 | Algebra- formulae | Equations resulting from substitution into formulae. | Info | Go |
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Objective: On completion of the lesson the student will be able to substitute into formulae and then solve the resulting equations. |
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| 50 | Algebra- formulae | Changing the subject of the formula. | Info | Go |
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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. |
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| 51 | Algebra-inequalities | Solving Inequalities. | Info | Go |
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Objective: On completion of the lesson the student will understand the 'greater than' and 'less than' signs, and be able to perform simple inequalities. |
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| 52 | Algebra-factorising | Simplifying easy algebraic fractions. | Info | Go |
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Objective: On completion of the lesson the student will understand how to simplify algebraic fractions by factorising. |
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| 53 | Factorisation | Factorisation of algebraic fractions including binomials. | Info | Go |
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Objective: On completion of the lesson the student should be able to simplify more complex algebraic fractions using a variety of methods. |
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| 54 | Rules for indices/exponents | Adding indices when multiplying 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 addition of powers when multiplying terms with the same base. |
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| 55 | 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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| 56 | Rules for indices/exponents | Multiplying indices when raising a power to a power | Info | Go |
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Objective: On completion of the lesson the student will use the law of multiplication of indices when raising a power to a power. |
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| 57 | Rules for indices/exponents | Multiplying indices when raising to more than one term | Info | Go |
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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. |
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| 58 | Geometry-angles | Measuring angles | Info | Go |
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Objective: On completion of the lesson the student will be able to measure any angle between 0 and 360 degrees using a protractor, and identify what type of angle it is. |
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| 59 | Geometry-angles | Adjacent angles | Info | Go |
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Objective: On completion of the lesson the student will be able to understand the parts of an angle, what adjacent angles are and how they are used to solve simple angle problems. |
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| 60 | Geometry-angles | Complementary and supplementary angles | Info | Go |
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Objective: On completion of the lesson the student will able to identify Complementary and Supplementary Angles and use this knowledge to solve simple geometric angle problems. |
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| 61 | Geometry-angles | Vertically opposite angles | Info | Go |
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Objective: On completion of the lesson the student will able to identify Vertically Opposite Angles and use this knowledge to solve simple geometric angle problems. |
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| 62 | Geometry-angles | Angles at a Point. | Info | Go |
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Objective: On completion of the lesson the student will able to identify Angles at a Point and use this knowledge and other angles concepts to solve simple geometric angle problems. |
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| 63 | Geometry-angles | Parallel Lines. | Info | Go |
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Objective: On completion of the lesson the student will able to identify corresponding, co-interior and alternate angles. |
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| 64 | Geometry-problems | Additional questions involving parallel lines | Info | Go |
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Objective: On completion of the lesson the student will able to complete two step parallel line questions, and identify other ways to solve them. |
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| 65 | Geometry-triangles | Angle sum of a triangle | Info | Go |
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Objective: On completion of the lesson the student will able to identify and use the angle sum of a triangle theorem to solve geometric problems. |
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| 66 | Geometry-triangles | Exterior angle theorem | Info | Go |
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Objective: On completion of the lesson the student will able to identify and use the exterior angle of a triangle theorem to solve geometric questions. |
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| 67 | Special triangles | Special triangles | Info | Go |
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Objective: On completion of the lesson the student will able to identify an equilateral and an isosceles triangle and solve geometry questions involving these triangles. |
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| 68 | Geometry-quadrilaterals | Quadrilaterals | Info | Go |
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Objective: On completion of the lesson the student will able to find missing angles by using the fact that a quadrilateral's angle sum is 360 degrees. |
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| 69 | 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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| 70 | Trigonometry-ratios | Trigonometric ratios. | Info | Go |
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Objective: On completion of the lesson the student will be able to identify the hypotenuse, adjacent and opposite sides for a given angle in a right angle triangle. The student will be able to label the side lengths in relation to a given angle e.g. the side c is op |
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| 71 | Trigonometry-ratios | Using the calculator. | Info | Go |
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Objective: On completion of the lesson the student will be able to use the calculator to find values for the sine, cosine and tangent ratios of acute angles. |
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| 72 | Trigonometry-ratios | Using the trigonometric ratios to find unknown length. [Case 1 Sine]. | Info | Go |
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Objective: On completion of the lesson the student will be able to use the sine ratio to calculate lengths and distances. |
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| 73 | Trigonometry-ratios | Using the trigonometric ratios to find unknown length. [Case 2 Cosine]. | Info | Go |
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Objective: On completion of the lesson the student will be able to use the cosine ratio to find the length of the adjacent side of a right angle triangle. |
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| 74 | Trigonometry-ratios | Using the trigonometric ratios to find unknown length. [Case 3 Tangent Ratio]. | Info | Go |
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Objective: On completion of the lesson the student will be able to use the tangent ratio to calculate the length of the opposite side in a right angle triangle. |
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| 75 | Trigonometry-compass | Bearings - the compass. | Info | Go |
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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. |
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| 76 | Statistics | Frequency distribution table | Info | Go |
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Objective: On completion of the lesson the student will be able to construct a frequency distribution table for raw data and interpret the table. |
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| 77 | Statistics | Frequency histograms and polygons | Info | Go |
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Objective: On completion of the lesson the student will be able to construct and interpret frequency histograms and polygons. |
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| 78 | Statistics | Relative frequency | Info | Go |
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Objective: On completion of the lesson the student will be able to collect, display and make judgements about data. |
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| 79 | Statistics | The range. | Info | Go |
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Objective: On completion of the lesson the student will be able to determine the range of data in either raw form or in a frequency distribution table. |
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| 80 | Statistic-probability | The mode | Info | Go |
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Objective: On completion of the lesson the student will understand how to find the mode from raw data, a frequency distribution table and polygon. |
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| 81 | Statistic-probability | The mean | Info | Go |
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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. |
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| 82 | Statistic-probability | The median | Info | Go |
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Objective: On completion of the lesson the student will be able to determine the median of a set of raw scores |
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| 83 | Statistic-probability | Cumulative frequency | Info | Go |
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Objective: On completion of the lesson the student will be able to construct cumulative frequency columns, histograms and polygons. |
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| 84 | Statistic-probability | Calculating the median from a frequency distribution | Info | Go |
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Objective: On completion of the lesson the student will be able to determine the median from a cumulative frequency polygon. |
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| 85 | Statistic-probability | Probability of Simple Events | Info | Go |
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Objective: On completion of the lesson the student will be able to understand the probability of simple events. |
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| 86 | Statistic-probability | Rolling a pair of dice | Info | Go |
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Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results when 2 dice are thrown simultaneously. |
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| 87 | Rules for indices/exponents | Terms raised to the power of zero | Info | Go |
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Objective: On completion of the lesson the student will learn how to evaluate or simplify terms that are raised to the power of zero. |
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| 88 | Rules for indices/exponents | Negative Indices | Info | Go |
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Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing negative indices. |
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| 89 | Fractional indices/exponents | Fractional indices | Info | Go |
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Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing fractional indices. |
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| 90 | Scientific notation | Scientific notation with larger numbers | Info | Go |
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Objective: On completion of the lesson the student will be able to change numbers greater than 1 to scientific notation. |
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| 91 | Significant figures | Significant figures | Info | Go |
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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. |
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| 92 | Exam | Exam - Jnr Cert Higher 2nd Year | Info | Go |
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Objective: Exam |
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