You have selected Grades 11 - 12: Algebra I




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1 Self Assessment Self Assessment - Grades 11 - 12: Algebra I Info Go
 

Objective: Assessment

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2 Fractions Using fractions 1/2, 1/4, 1/8 to describe parts of a group or collection Info Go
 

Objective: To use the fractions 1/2, 1/4 and 1/8 to describe equal parts of a collection of objects

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3 Fractions Comparing and ordering fractions Info Go
 

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

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4 Fractions Mixed numerals Info Go
 

Objective: To name and recognise mixed numerals

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5 Fractions Improper fractions Info Go
 

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

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6 Fractions Fractions 1/5, 1/10, 1/100 Info Go
 

Objective: To compare and represent fractions with the denominator 5, 10, 100

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7 Fractions Finding equivalent fractions Info Go
 

Objective: To reduce a fraction to its lowest form

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8 Fractions Multiplying and dividing to obtain equivalent fractions. Info Go
 

Objective: To find equivalent fractions using multiplication or division.

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9 Fractions Reducing fractions to lowest equivalent form Info Go
 

Objective: To reduce a fraction to its lowest form

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10 Fractions Comparing and ordering fractions greater than 1 Info Go
 

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

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11 Fractions Subtracting fractions from whole numbers Info Go
 

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

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12 Fractions Adding and subtracting fractions with the same denominator Info Go
 

Objective: To add and subtract fractions with the same denominator

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13 Fractions Adding and subtracting fractions with different denominators Info Go
 

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

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14 Fractions Multiplying fractions by whole numbers Info Go
 

Objective: To multiply common fractions by whole numbers

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15 Fractions Fractions of whole numbers Info Go
 

Objective: To find fractions of whole numbers

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16 Fractions Multiplying fractions Info Go
 

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

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17 Fractions Multiplying mixed numbers Info Go
 

Objective: To multiply mixed numbers and reduce the answer to its lowest form

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18 Fractions Finding reciprocals of fractions and mixed numbers Info Go
 

Objective: To find the reciprocals of fractions and mixed numbers

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19 Fractions Dividing fractions Info Go
 

Objective: To divide fractions by other fractions

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20 Fractions Dividing mixed numbers Info Go
 

Objective: To divide mixed numbers

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21 Fractions BODMAS Info Go
 

Objective: To calculate answers for fraction and mixed number questions using BODMAS

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22 Percentages Calculating Percentages and Fractions of Quantities Info Go
 

Objective: To find percentages and fractions of quantities and solve problems with percentages

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23 Decimals Intro to Decimals Info Go
 

Objective: To relate the equivalent fraction to a decimal

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24 Decimals Comparing and ordering decimals to two decimal places Info Go
 

Objective: To compare and order decimals to two decimal places

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25 Decimals Decimals with whole numbers 10th and 100th Info Go
 

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

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26 Decimals Adding decimals to two decimal places Info Go
 

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

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27 Decimals Subtracting decimals to two decimal places Info Go
 

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

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28 Decimals Using decimals - shopping problems Info Go
 

Objective: To read and interpret problems involving money

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29 Decimals Using decimals to record length Info Go
 

Objective: To interpret the everyday use of fractions and decimals

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30 Decimals Rounding Decimals Info Go
 

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

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31 Decimals Decimals to three decimal places Info Go
 

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

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32 Decimals Adding decimals with a different number of decimal places Info Go
 

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

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33 Decimals Subtracting decimals with a different number of places Info Go
 

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

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34 Decimals Multiplying decimals by 10, 100 and 1000 Info Go
 

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

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35 Decimals Multiplying decimals by single-digit numbers Info Go
 

Objective: To multiply decimals by single-digit numbers

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36 Decimals Multiplication of decimals by decimals to two decimal places Info Go
 

Objective: To multiply decimals to two digits

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37 Decimals Dividing decimals by 10, 100 and 1000 Info Go
 

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

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38 Decimals Dividing decimals by whole numbers Info Go
 

Objective: To divide decimals by whole numbers

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39 Decimals Dividing numbers by decimals Info Go
 

Objective: To divide a whole number by a decimal fraction

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40 Percentages Understanding percentages Info Go
 

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

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41 Percentages Changing fractions and decimals to percentages tenths and hundredths Info Go
 

Objective: To represent fractions and decimals as percentages

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42 Percentages Changing percentages to fractions and decimals Info Go
 

Objective: To change percentages to fractions and decimals

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43 Percentages One Quantity as a Percentage of Another Info Go
 

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

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44 Algebra - Basic Algebraic Expressions Info Go
 

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

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45 Algebra - Basic Substitution into Algebraic Expressions Info Go
 

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

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46 Algebra - Basic Directed Numbers: Addition and Subtraction Info Go
 

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

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47 Algebra - Basic Directed Numbers: Multiplication and Division Info Go
 

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

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48 Algebra - Basic Simplifying Algebraic Expressions: Adding Like Terms Info Go
 

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

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49 Algebra - Basic Simplifying Algebraic Expressions: Subtracting Like Terms Info Go
 

Objective: To simplify algebraic subtractions by collecting like terms

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50 Algebra - Basic Simplifying Algebraic Expressions: Combining Addition and Subtraction Info Go
 

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

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51 Algebra - Basic Simplifying Algebraic Expressions: Multiplication Info Go
 

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

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52 Algebra - Basic Simplifying Algebraic Expressions: Division Info Go
 

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

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53 Algebra - Basic Expanding Algebraic Expressions: multiplication Info Go
 

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

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54 Algebra - Basic Expanding Algebraic Expressions: Negative multiplier Info Go
 

Objective: To expand parentheses when there is a negative multiplier

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55 Algebra - Basic Expanding and simplifying algebraic expressions Info Go
 

Objective: To expand and simplify algebraic expressions involving grouping symbols

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56 Algebra - Basic Solving Equations containing Addition and Subtraction Info Go
 

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

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57 Algebra - Basic Solving Equations containing Multiplication and Division Info Go
 

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

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58 Algebra - Basic Solving Two-Step Equations Info Go
 

Objective: To solve two-step equations without division in the initial problem

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59 Algebra - Basic Solving Equations Containing Binomial Expressions Info Go
 

Objective: To solve equations with binomial expressions on each side

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60 Algebra - Basic Equations involving Grouping Symbols Info Go
 

Objective: To solve equations containing grouping symbols on each side

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61 Algebra - Basic Equations involving fractions Info Go
 

Objective: To solve fraction equations with the unknown in either the numerator or denominator

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62 Algebra - Basic Equations Resulting from Substitution into Formulae Info Go
 

Objective: To solve equations created by substituting values into formulae

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63 Algebra - Basic Changing the Subject of the Formula Info Go
 

Objective: To change the subject of algebraic formulae using equation-solving techniques

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64 Algebra - Basic Inequalities Info Go
 

Objective: To solve algebraic inequalities requiring (at times) change of direction of inequality sign

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65 Algebra - Basic Simplifying easy algebraic fractions Info Go
 

Objective: To simplify simple algebraic fractions using cancellation of common factors

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66 Algebra - Basic Simplifying algebraic fractions using the Index Laws Info Go
 

Objective: To use the index laws for division to simplify algebraic fractions

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67 Algebra - Basic Algebraic fractions resulting in negative Indices Info Go
 

Objective: To simplify algebraic fractions using negative indices (as required) in the answer

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68 Algebra - Basic Factorisation of algebraic fractions including binomials Info Go
 

Objective: To simplify algebraic fractions requiring the factorisation of binomial expressions

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69 Algebra - Basic Cancelling binomial factors in algebraic fractions Info Go
 

Objective: To simplify algebraic fractions with binomials in both the numerator and denominator

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70 Absolute value Evaluating Absolute Value Expressions Info Go
 

Objective: To evaluate numeric and algebraic expressions involving absolute value

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71 Absolute value Solving Absolute Value Equations Info Go
 

Objective: To solve equations involving absolute values

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72 Absolute value Solving and Graphing Inequalities Info Go
 

Objective: To graph the solution set of absolute value inequalities

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73 Indices/Exponents Adding indices when multiplying terms with the same base Info Go
 

Objective: To add indices when multiplying powers that have the same base

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74 Indices/Exponents Subtracting indices when dividing terms with the same base Info Go
 

Objective: To subtract indices when dividing powers of the same base

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75 Indices/Exponents Multiplying indices when raising a power to a power Info Go
 

Objective: To multiply indices when raising a power to a power

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76 Indices/Exponents Multiplying indices when raising to more than one term Info Go
 

Objective: To raise power products to a power

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77 Indices/Exponents Terms raised to the power of zero Info Go
 

Objective: To evaluate expressions where quantities are raised to the power 0

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78 Indices/Exponents Negative Indices Info Go
 

Objective: To evaluate or simplify expressions containing negative indices

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79 Indices/Exponents Fractional Indices Info Go
 

Objective: To evaluate or simplify expressions containing fractional indices

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80 Indices/Exponents Complex fractions as indices Info Go
 

Objective: To evaluate or simplify expressions containing complex fractional indices and radicals

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81 Standard/Scientific notation Scientific notation with larger numbers Info Go
 

Objective: To write large numbers in standard or scientific notation

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82 Standard/Scientific notation Scientific notation with small numbers Info Go
 

Objective: To write small numbers in standard or scientific notation

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83 Standard/Scientific notation Changing scientific notation to numerals Info Go
 

Objective: To interpret scientific notation by writing in base 10 numerals

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84 Standard/Scientific notation Significant Figures Info Go
 

Objective: To write a number to a specified number of significant figures

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85 Number sets Number Sets and Their Members Info Go
 

Objective: To distinguish between number sets and identify elements and subsets of number sets

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86 Number sets Addition and Multiplication Properties for Real Numbers Info Go
 

Objective: To identify and name addition and multiplication properties for real numbers

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87 Number sets Transformations That Produce Equivalent Equations Info Go
 

Objective: To name properties of equality used to create equivalent equations and solve equations

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88 Simultaneous equations Simultaneous Equations Info Go
 

Objective: To solve simultaneous equations by substitution

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89 Simultaneous equations Elimination method Info Go
 

Objective: To solve simultaneous equations by elimination

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90 Simultaneous equations Elimination method part 2 Info Go
 

Objective: To solve more difficult simultaneous equations by elimination

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91 Simultaneous equations Applications of simultaneous equations Info Go
 

Objective: To solve problems using simultaneous equations

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92 Pythagoras Pythagoras' Theorem: Finding the Hypotenuse Info Go
 

Objective: To calculate the length of a hypotenuse using Pythagoras' Theorem

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93 Pythagoras Using Pythagorean Triples to Identify Right Triangles Info Go
 

Objective: To identify right triangles by using Pythagorean Triples or Pythagoras' Theorem

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94 Pythagoras Calculating the Hypotenuse of a right-angled Triangle Info Go
 

Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals

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95 Pythagoras Calculating a Leg of a right-angled Triangle Info Go
 

Objective: To calculate the length of sides other than the hypotenuse using Pythagoras' Theorem

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96 Pythagoras Proofs of Pythagoras' Theorem Info Go
 

Objective: To examine and complete proofs of Pythagoras' Theorem

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97 Surds/Radicals Introducing surds Info Go
 

Objective: To recognise and simplify numerical expressions involving surds

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98 Surds/Radicals Some rules for the operations with surds Info Go
 

Objective: To learn rules for the division and multiplication of surds

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99 Surds/Radicals Simplifying Surds Info Go
 

Objective: To simplify numerical expressions and solve equations involving surds

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100 Surds/Radicals Creating entire surds Info Go
 

Objective: To write numbers as entire surds and compare numbers by writing as entire surds

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101 Surds/Radicals Adding and subtracting like surds Info Go
 

Objective: To add and subtract surds and simplify expressions by collecting like surds

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102 Surds/Radicals Expanding surds Info Go
 

Objective: To expand and simplify binomial expressions involving surds

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103 Surds/Radicals Binomial expansions Info Go
 

Objective: To expand and simplify the squares of binomial sums and differences involving surds

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104 Surds/Radicals Conjugate binomials with surds Info Go
 

Objective: To expand and simplify products of conjugate binomial expressions

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105 Surds/Radicals Rationalising the denominator Info Go
 

Objective: To rationalise the denominator of a fraction where the denominator is a monomial surd

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106 Surds/Radicals Rationalising binomial denominators Info Go
 

Objective: To rationalise the denominator of a fraction when the denominator is a binomial with surds

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107 Graphs part 1 The Circle: to find radii of circles Info Go
 

Objective: To find radii of circles, centre (0, 0) using x^2 + y^2 = a^2 and write equations of circles

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108 Graphs part 1 The semicircle: to select the equation given the semicircle and vice versa Info Go
 

Objective: To select the equation given a semicircle and vice versa

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109 Graphs part 1 The parabola: to describe properties of a parabola from its equation Info Go
 

Objective: To describe properties of a parabola from its equation and sketch the parabola

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110 Graphs part 1 Quadratic Polynomials of the form y = ax^2 + bx + c Info Go
 

Objective: To describe and sketch parabolas of the form y = x^2 + bx + c

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111 Graphs part 1 Graphing perfect squares: y=(a-x) squared Info Go
 

Objective: To describe and sketch parabolas of the form y = (x - a)^2

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112 Graphs part 1 Graphing irrational roots Info Go
 

Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola

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113 Graphs part 1 Solving Simultaneous Equations graphically Info Go
 

Objective: To solve simultaneous equations graphically

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114 Algebra - Products and factors Binomial Products Info Go
 

Objective: To expand and simplify monic binomial products of the form (x + a)(x +/- b)

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115 Algebra - Products and factors Binomial products with negative multiplier Info Go
 

Objective: To expand and simplify monic binomial products of the form (x - a)(x +/- b)

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116 Algebra - Products and factors Binomial Products (nonmonic) Info Go
 

Objective: To expand and simplify nonmonic binomial products

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117 Algebra - Products and factors Squaring a Binomial (monic) Info Go
 

Objective: To expand the square of a binomial by multiplication and by inspection

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118 Algebra - Products and factors Squaring a Binomial (nonmonic) Info Go
 

Objective: To expand the square of a nonmonic binomial by inspection

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119 Algebra - Products and factors Expansions Leading to the Difference of Two Squares Info Go
 

Objective: To expand the product of conjugate binomials leading to differences of squares

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120 Algebra - Products and factors Products in Simplification of Algebraic Expressions Info Go
 

Objective: To simplify algebraic expressions containing binomial products

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121 Algebra - Products and factors Larger Expansions Info Go
 

Objective: To expand and simplify the product of a binomial and a trinomial

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122 Algebra - Products and factors Highest Common Factor Info Go
 

Objective: To factorise an expression by identifying and extracting the highest common factor

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123 Algebra - Products and factors Factors by Grouping Info Go
 

Objective: To factorise a four-term expression by grouping

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124 Algebra - Products and factors Difference of Two Squares Info Go
 

Objective: To factorise differences of two squares

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125 Algebra - Products and factors Common factor and the difference of two squares Info Go
 

Objective: On completion of the lesson the student will be aware of common factors and recognize the difference of two squares.

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126 Algebra - Products and factors Quadratic Trinomials (monic): Case 1 Info Go
 

Objective: On completion of the lesson the student will understand the factorization of quadratic trinomial equations with all terms positive.

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127 Algebra - Products and factors Quadratic Trinomials (monic): Case 2 Info Go
 

Objective: On completion of the lesson the student will accurately identify the process if the middle term of a quadratic trinomial is negative.

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128 Algebra - Products and factors Quadratic Trinomials (monic): Case 3 Info Go
 

Objective: On completion of the lesson the student will have an increased knowledge on factorizing quadratic trinomials and will understand where the 2nd term is positive and the 3rd term is negative.

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129 Algebra - Products and factors Quadratic Trinomials (monic): Case 4 Info Go
 

Objective: On completion of the lesson the student will understand how to factorize all of the possible types of monic quadratic trinomials and specifcally where the 2nd term and 3rd terms are negative.

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130 Algebra - Products and factors Factorisation of nonmonic quadratic trinomials Info Go
 

Objective: To factorise nonmonic quadratic trinomials using the 'X' method

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131 Algebra - Products and factors Factorisation of nonmonic quadratic trinomials: Moon method Info Go
 

Objective: To factorise nonmonic quadratic trinomials using the 'Moon' method

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132 Algebra - Products and factors Sum and Difference of Two Cubes Info Go
 

Objective: To factorise the sum and difference of two cubes

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133 Algebra - Products and factors Simplifying algebraic fractions Info Go
 

Objective: To simplify algebraic fractions by factorisation and cancellation

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134 Logic Inductive and Deductive Reasoning Info Go
 

Objective: To identify and use inductive and deductive reasoning

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135 Logic Disproof of Counter Example Info Go
 

Objective: To identify a statement as a counter example to disprove a statement

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136 Logic Proof by Disproof of a Contradictory Statement Info Go
 

Objective: To prove that a statement is true by proving that the contradictory statement is false

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137 Logic Mathematical induction Info Go
 

Objective: To use proof by mathematical induction

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138 Logic Conditional statements (converse, inverse and contrapositive) (Stage 2) Info Go
 

Objective: On completion of the lesson the student will be able to form related conditional statements.

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139 Algebra - Quadratic equations Introduction to Quadratic Equations Info Go
 

Objective: To find the solutions of quadratic equations presented as a product of factors

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140 Algebra - Quadratic equations Solving Quadratic Equations with Factorisation Info Go
 

Objective: To solve quadratic equations requiring factorisation

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141 Algebra - Quadratic equations Solving Quadratic Equations Info Go
 

Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0

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142 Algebra - Quadratic equations Completing the square Info Go
 

Objective: To complete an incomplete square

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143 Algebra - Quadratic equations Solving Quadratic Equations by Completing the Square Info Go
 

Objective: To solve quadratic equations by completing the square

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144 Algebra - Quadratic equations The Quadratic Formula Info Go
 

Objective: To find the roots of a quadratic equation by using the quadratic formula

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145 Algebra - Quadratic equations Problem solving with quadratic equations Info Go
 

Objective: To solve problems which require finding the roots of a quadratic equation

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146 Algebra - Quadratic equations Solving Simultaneous Quadratic Equations Graphically Info Go
 

Objective: To determine points of intersection of quadratic and linear equations

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147 Co-ordinate geometry part 1 The Distance Formula Info Go
 

Objective: To use the distance formula to calculate the lengths of lines and distances

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148 Co-ordinate geometry part 1 The Mid-Point Formula Info Go
 

Objective: To determine the mid-point of an interval using the mid-point formula

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149 Co-ordinate geometry part 1 The Gradient Info Go
 

Objective: To find the gradient of a line given its angle of inclination or given rise and run

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150 Co-ordinate geometry part 1 The Gradient Formula Info Go
 

Objective: To use the gradient formula to find the gradient of straight lines

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151 Co-ordinate geometry part 1 The Straight Line Info Go
 

Objective: To state the equation of lines parallel to the axes and to graph equations x = a and y = b

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152 Co-ordinate geometry part 1 Lines Through the Origin Info Go
 

Objective: To state the equation of lines passing through the origin and to graph y = mx

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153 Co-ordinate geometry part 1 General Form of a Line and the x and y Intercepts Info Go
 

Objective: To write linear equations in general form, to find the x and y intercepts and to calculate area

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154 Co-ordinate geometry part 1 Slope Intercept Form of a Line Info Go
 

Objective: To change equation to slope intercept form and graph it and to find equation given graph

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155 Co-ordinate geometry part 1 Point Slope Form of a Line Info Go
 

Objective: To find the equation of a line given its slope and a point on the line (y-y1) = m(x-x1)

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156 Function Functions and Relations: domain and range Info Go
 

Objective: To identify and represent functions and relations

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157 Function Function Notation Info Go
 

Objective: To write and evaluate functions using function notation

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158 Function Selecting Appropriate Domain and Range Info Go
 

Objective: To determine appropriate domains for functions

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159 Function Domain and Range from Graphical Representations Info Go
 

Objective: To determine the range of a function from its graphical representation

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160 Statistics part 2 Measures of Spread: the interquartile range Info Go
 

Objective: To find the upper and lower quartiles and the interquartile range

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161 Co-ordinate geometry part 2 Two Point Formula: equation of a line which joins a pair of points Info Go
 

Objective: To find the equation of the line which joins a pair of points

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162 Co-ordinate geometry part 2 Intercept form of a straight line: find the equation when given x and y Info Go
 

Objective: To find the equation of a line given the x-axis and y-axis intercepts

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163 Co-ordinate geometry part 2 Parallel Lines: identify equation of a line parallel to another Info Go
 

Objective: To change the standard form of a straight line equation to the y = mx + b form

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164 Co-ordinate geometry part 2 Perpendicular Lines Info Go
 

Objective: To identify the equation of a line that is perpendicular to a given linear equation

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165 Co-ordinate geometry part 2 Inequalities on the Number Plane Info Go
 

Objective: To identify the graph which matches a given inequality

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166 Exam Exam - Grades 11 - 12: Algebra I Info Go
 

Objective: Exam

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