| # | TOPIC | TITLE | +/- | |
|---|---|---|---|---|
| 1 | Study Plan | Study plan - Grades 9/10 - Integrated Algebra | 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 | Number sets | Number Sets and Their Members | Info | Go |
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Objective: To distinguish between number sets and identify elements and subsets of number sets |
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| 3 | Number sets | Addition and Multiplication Properties for Real Numbers | Info | Go |
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Objective: To identify and name addition and multiplication properties for real numbers |
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| 4 | Number sets | Transformations That Produce Equivalent Equations | Info | Go |
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Objective: To name properties of equality used to create equivalent equations and solve equations |
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| 5 | Algebra - Basic | Algebraic Expressions | Info | Go |
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Objective: To simplify numerical expressions and simplify and expand algebraic expressions |
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| 6 | Algebra - Basic | Substitution into Algebraic Expressions | Info | Go |
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Objective: To evaluate simple algebraic expressions using whole numbers, fractions and decimals |
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| 7 | Algebra - Basic | Directed Numbers: Addition and Subtraction | Info | Go |
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Objective: To add/subtract numbers using a number line - first number and answer can be negative |
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| 8 | Algebra - Basic | Directed Numbers: Multiplication and Division | Info | Go |
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Objective: To multiply and divide directed numbers and evaluate powers of directed numbers |
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| 9 | Algebra - Basic | Simplifying Algebraic Expressions: Adding Like Terms | Info | Go |
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Objective: To simplify numeric and algebraic addition expressions by collecting like terms |
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| 10 | Algebra - Basic | Simplifying Algebraic Expressions: Subtracting Like Terms | Info | Go |
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Objective: To simplify algebraic subtractions by collecting like terms |
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| 11 | Algebra - Basic | Simplifying Algebraic Expressions: Combining Addition and Subtraction | Info | Go |
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Objective: To simplify expressions containing addition and subtraction and two unlike terms |
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| 12 | Algebra - Basic | Simplifying Algebraic Expressions: Multiplication | Info | Go |
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Objective: To simplify algebraic products using (but not stating) the commutative law |
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| 13 | Algebra - Basic | Simplifying Algebraic Expressions: Division | Info | Go |
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Objective: To divide algebraic terms where the divisor is a factor of the dividend |
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| 14 | Algebra - Basic | Expanding Algebraic Expressions: multiplication | Info | Go |
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Objective: To remove grouping symbols from an expression where the multiplier is monomial |
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| 15 | Algebra - Basic | Expanding Algebraic Expressions: Negative multiplier | Info | Go |
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Objective: To expand parentheses when there is a negative multiplier |
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| 16 | Algebra - Basic | Expanding and simplifying algebraic expressions | Info | Go |
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Objective: To expand and simplify algebraic expressions involving grouping symbols |
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| 17 | Algebra - Basic | Solving Equations containing Addition and Subtraction | Info | Go |
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Objective: To solve one-step equations involving addition or subtraction |
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| 18 | Algebra - Basic | Solving Equations containing Multiplication and Division | Info | Go |
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Objective: To solve one-step equations involving multiplication or division |
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| 19 | Algebra - Basic | Solving Two-Step Equations | Info | Go |
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Objective: To solve two-step equations without division in the initial problem |
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| 20 | Algebra - Basic | Solving Equations Containing Binomial Expressions | Info | Go |
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Objective: To solve equations with binomial expressions on each side |
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| 21 | Algebra - Basic | Equations involving Grouping Symbols | Info | Go |
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Objective: To solve equations containing grouping symbols on each side |
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| 22 | Algebra - Basic | Equations involving fractions | Info | Go |
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Objective: To solve fraction equations with the unknown in either the numerator or denominator |
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| 23 | Algebra - Basic | Equations Resulting from Substitution into Formulae | Info | Go |
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Objective: To solve equations created by substituting values into formulae |
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| 24 | Algebra - Basic | Changing the Subject of the Formula | Info | Go |
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Objective: To change the subject of algebraic formulae using equation-solving techniques |
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| 25 | Algebra - Basic | Inequalities | Info | Go |
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Objective: To solve algebraic inequalities requiring (at times) change of direction of inequality sign |
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| 26 | Algebra - Basic | Simplifying easy algebraic fractions | Info | Go |
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Objective: To simplify simple algebraic fractions using cancellation of common factors |
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| 27 | Algebra - Basic | Simplifying algebraic fractions using the Index Laws | Info | Go |
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Objective: To use the index laws for division to simplify algebraic fractions |
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| 28 | Algebra - Basic | Algebraic fractions resulting in negative Indices | Info | Go |
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Objective: To simplify algebraic fractions using negative indices (as required) in the answer |
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| 29 | Algebra - Basic | Factorisation of algebraic fractions including binomials | Info | Go |
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Objective: To simplify algebraic fractions requiring the factorisation of binomial expressions |
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| 30 | Algebra - Basic | Cancelling binomial factors in algebraic fractions | Info | Go |
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Objective: To simplify algebraic fractions with binomials in both the numerator and denominator |
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| 31 | Absolute value | Evaluating Absolute Value Expressions | Info | Go |
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Objective: To evaluate numeric and algebraic expressions involving absolute value |
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| 32 | Absolute value | Solving Absolute Value Equations | Info | Go |
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Objective: To solve equations involving absolute values |
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| 33 | Absolute value | Solving and Graphing Inequalities | Info | Go |
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Objective: To graph the solution set of absolute value inequalities |
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| 34 | Graphs part 1 | The parabola: to describe properties of a parabola from its equation | Info | Go |
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Objective: To describe properties of a parabola from its equation and sketch the parabola |
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| 35 | Graphs part 1 | Quadratic Polynomials of the form y = ax^2 + bx + c | Info | Go |
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Objective: To describe and sketch parabolas of the form y = x^2 + bx + c |
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| 36 | Graphs part 1 | Graphing perfect squares: y=(a-x) squared | Info | Go |
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Objective: To describe and sketch parabolas of the form y = (x - a)^2 |
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| 37 | Surds/Radicals | Introducing surds | Info | Go |
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Objective: To recognise and simplify numerical expressions involving surds |
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| 38 | Surds/Radicals | Some rules for the operations with surds | Info | Go |
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Objective: To learn rules for the division and multiplication of surds |
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| 39 | Surds/Radicals | Simplifying Surds | Info | Go |
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Objective: To simplify numerical expressions and solve equations involving surds |
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| 40 | Surds/Radicals | Creating entire surds | Info | Go |
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Objective: To write numbers as entire surds and compare numbers by writing as entire surds |
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| 41 | Surds/Radicals | Adding and subtracting like surds | Info | Go |
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Objective: To add and subtract surds and simplify expressions by collecting like surds |
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| 42 | Surds/Radicals | Expanding surds | Info | Go |
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Objective: To expand and simplify binomial expressions involving surds |
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| 43 | Surds/Radicals | Binomial expansions | Info | Go |
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Objective: To expand and simplify the squares of binomial sums and differences involving surds |
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| 44 | Surds/Radicals | Conjugate binomials with surds | Info | Go |
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Objective: To expand and simplify products of conjugate binomial expressions |
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| 45 | Surds/Radicals | Rationalising the denominator | Info | Go |
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Objective: To rationalise the denominator of a fraction where the denominator is a monomial surd |
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| 46 | Surds/Radicals | Rationalising binomial denominators | Info | Go |
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Objective: To rationalise the denominator of a fraction when the denominator is a binomial with surds |
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| 47 | Indices/Exponents | Adding indices when multiplying terms with the same base | Info | Go |
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Objective: To add indices when multiplying powers that have the same base |
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| 48 | Indices/Exponents | Subtracting indices when dividing terms with the same base | Info | Go |
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Objective: To subtract indices when dividing powers of the same base |
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| 49 | Indices/Exponents | Multiplying indices when raising a power to a power | Info | Go |
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Objective: To multiply indices when raising a power to a power |
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| 50 | Indices/Exponents | Multiplying indices when raising to more than one term | Info | Go |
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Objective: To raise power products to a power |
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| 51 | Indices/Exponents | Terms raised to the power of zero | Info | Go |
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Objective: To evaluate expressions where quantities are raised to the power 0 |
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| 52 | Indices/Exponents | Negative Indices | Info | Go |
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Objective: To evaluate or simplify expressions containing negative indices |
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| 53 | Indices/Exponents | Fractional Indices | Info | Go |
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Objective: To evaluate or simplify expressions containing fractional indices |
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| 54 | Indices/Exponents | Complex fractions as indices | Info | Go |
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Objective: To evaluate or simplify expressions containing complex fractional indices and radicals |
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| 55 | Standard/Scientific notation | Scientific notation with larger numbers | Info | Go |
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Objective: To write large numbers in standard or scientific notation |
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| 56 | Standard/Scientific notation | Scientific notation with small numbers | Info | Go |
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Objective: To write small numbers in standard or scientific notation |
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| 57 | Standard/Scientific notation | Changing scientific notation to numerals | Info | Go |
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Objective: To interpret scientific notation by writing in base 10 numerals |
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| 58 | Standard/Scientific notation | Significant Figures | Info | Go |
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Objective: To write a number to a specified number of significant figures |
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| 59 | Fractions | Multiplying fractions | Info | Go |
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Objective: To multiply fractions and reduce the answer to its lowest form |
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| 60 | Fractions | Multiplying mixed numbers | Info | Go |
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Objective: To multiply mixed numbers and reduce the answer to its lowest form |
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| 61 | Fractions | Finding reciprocals of fractions and mixed numbers | Info | Go |
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Objective: To find the reciprocals of fractions and mixed numbers |
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| 62 | Fractions | Dividing fractions | Info | Go |
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Objective: To divide fractions by other fractions |
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| 63 | Fractions | Dividing mixed numbers | Info | Go |
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Objective: To divide mixed numbers |
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| 64 | Fractions | BODMAS | Info | Go |
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Objective: To calculate answers for fraction and mixed number questions using BODMAS |
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| 65 | 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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| 66 | Percentages | Understanding percentages | Info | Go |
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Objective: To recognise the percentage symbol and relate a common percentage to a fraction |
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| 67 | Percentages | Changing fractions and decimals to percentages tenths and hundredths | Info | Go |
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Objective: To represent fractions and decimals as percentages |
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| 68 | Percentages | Changing percentages to fractions and decimals | Info | Go |
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Objective: To change percentages to fractions and decimals |
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| 69 | Percentages | One Quantity as a Percentage of Another | Info | Go |
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Objective: To determine what one quantity is as a percentage of another |
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| 70 | Probability | Simple events | Info | Go |
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Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S) |
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| 71 | Probability | Rolling a pair of dice | Info | Go |
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Objective: To find the probability of selected events when two dice are rolled |
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| 72 | Probability | Experimental probability | Info | Go |
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Objective: To find the experimental probabilities of an experimental trial |
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| 73 | Probability | Experimental probability | Info | Go |
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Objective: To use tree diagrams to determine sample spaces and compound probabilities |
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| 74 | Probability | Tree diagrams: depending on previous outcomes | Info | Go |
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Objective: To use tree diagrams where the probability is dependent on previous outcomes |
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| 75 | Probability | The Complementary Result | Info | Go |
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Objective: To calculate the probability of complementary events using P(E) = 1 - P(not E) |
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| 76 | Probability | P[A or B] When A and B are NOT mutually exclusive | Info | Go |
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Objective: To calculate the probability of non exclusive events using P(A or B) = P(A)+P(B) |
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| 77 | Probability | The Binomial Theorem and Binomial Coefficients | Info | Go |
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Objective: To calculate binomial coefficients and expand binomial powers. |
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| 78 | Probability | Binomial probabilities using the Binomial Theorem | Info | Go |
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Objective: To calculate the binomial probability of a given number of successful trials |
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| 79 | Probability | Counting techniques and ordered selections | Info | Go |
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Objective: To use counting techniques in probability |
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| 80 | Simultaneous equations | Simultaneous Equations | Info | Go |
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Objective: To solve simultaneous equations by substitution |
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| 81 | Simultaneous equations | Elimination method | Info | Go |
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Objective: To solve simultaneous equations by elimination |
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| 82 | Simultaneous equations | Elimination method part 2 | Info | Go |
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Objective: To solve more difficult simultaneous equations by elimination |
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| 83 | Simultaneous equations | Applications of simultaneous equations | Info | Go |
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Objective: To solve problems using simultaneous equations |
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| 84 | Graphs part 1 | Graphing irrational roots | Info | Go |
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Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola |
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| 85 | Graphs part 1 | Solving Simultaneous Equations graphically | Info | Go |
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Objective: To solve simultaneous equations graphically |
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| 86 | Algebra - Products and factors | Binomial Products | Info | Go |
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Objective: To expand and simplify monic binomial products of the form (x + a)(x +/- b) |
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| 87 | Algebra - Products and factors | Binomial products with negative multiplier | Info | Go |
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Objective: To expand and simplify monic binomial products of the form (x - a)(x +/- b) |
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| 88 | Algebra - Products and factors | Binomial Products (nonmonic) | Info | Go |
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Objective: To expand and simplify nonmonic binomial products |
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| 89 | Algebra - Products and factors | Squaring a Binomial (monic) | Info | Go |
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Objective: To expand the square of a binomial by multiplication and by inspection |
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| 90 | Algebra - Products and factors | Squaring a Binomial (nonmonic) | Info | Go |
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Objective: To expand the square of a nonmonic binomial by inspection |
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| 91 | Algebra - Products and factors | Expansions Leading to the Difference of Two Squares | Info | Go |
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Objective: To expand the product of conjugate binomials leading to differences of squares |
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| 92 | Algebra - Products and factors | Products in Simplification of Algebraic Expressions | Info | Go |
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Objective: To simplify algebraic expressions containing binomial products |
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| 93 | Algebra - Products and factors | Larger Expansions | Info | Go |
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Objective: To expand and simplify the product of a binomial and a trinomial |
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| 94 | Algebra - Products and factors | Highest Common Factor | Info | Go |
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Objective: To factorise an expression by identifying and extracting the highest common factor |
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| 95 | Algebra - Products and factors | Factors by Grouping | Info | Go |
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Objective: To factorise a four-term expression by grouping |
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| 96 | Algebra - Products and factors | Difference of Two Squares | Info | Go |
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Objective: To factorise differences of two squares |
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| 97 | Algebra - Products and factors | Common factor and the difference of two squares | Info | Go |
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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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| 98 | Algebra - Products and factors | Quadratic Trinomials (monic): Case 1 | Info | Go |
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Objective: On completion of the lesson the student will understand the factorization of quadratic trinomial equations with all terms positive. |
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| 99 | Algebra - Products and factors | Quadratic Trinomials (monic): Case 2 | Info | Go |
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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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| 100 | Algebra - Products and factors | Quadratic Trinomials (monic): Case 3 | Info | Go |
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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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| 101 | Algebra - Products and factors | Quadratic Trinomials (monic): Case 4 | Info | Go |
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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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| 102 | Algebra - Products and factors | Factorisation of nonmonic quadratic trinomials | Info | Go |
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Objective: To factorise nonmonic quadratic trinomials using the 'X' method |
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| 103 | Algebra - Products and factors | Factorisation of nonmonic quadratic trinomials: Moon method | Info | Go |
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Objective: To factorise nonmonic quadratic trinomials using the 'Moon' method |
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| 104 | Algebra - Quadratic equations | Introduction to Quadratic Equations | Info | Go |
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Objective: To find the solutions of quadratic equations presented as a product of factors |
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| 105 | Algebra - Quadratic equations | Solving Quadratic Equations with Factorisation | Info | Go |
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Objective: To solve quadratic equations requiring factorisation |
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| 106 | Algebra - Quadratic equations | Solving Quadratic Equations | Info | Go |
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Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0 |
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| 107 | Algebra - Quadratic equations | Completing the square | Info | Go |
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Objective: To complete an incomplete square |
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| 108 | Algebra - Quadratic equations | Solving Quadratic Equations by Completing the Square | Info | Go |
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Objective: To solve quadratic equations by completing the square |
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| 109 | Algebra - Quadratic equations | The Quadratic Formula | Info | Go |
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Objective: To find the roots of a quadratic equation by using the quadratic formula |
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| 110 | Algebra - Quadratic equations | Problem solving with quadratic equations | Info | Go |
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Objective: To solve problems which require finding the roots of a quadratic equation |
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| 111 | Algebra - Quadratic equations | Solving Simultaneous Quadratic Equations Graphically | Info | Go |
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Objective: To determine points of intersection of quadratic and linear equations |
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| 112 | Logarithms | Powers of 2 | Info | Go |
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Objective: To convert between logarithm statements and indice statements |
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| 113 | Graphs part 2 | The Exponential Function | Info | Go |
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Objective: To graph exponential curves whose exponents are either positive or negative |
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| 114 | Function | Functions and Relations: domain and range | Info | Go |
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Objective: To identify and represent functions and relations |
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| 115 | Function | Function Notation | Info | Go |
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Objective: To write and evaluate functions using function notation |
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| 116 | Function | Selecting Appropriate Domain and Range | Info | Go |
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Objective: To determine appropriate domains for functions |
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| 117 | Function | Domain and Range from Graphical Representations | Info | Go |
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Objective: To determine the range of a function from its graphical representation |
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| 118 | Function | Evaluating and Graphing Piecewise Functions | Info | Go |
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Objective: To evaluate and graph piecewise functions |
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| 119 | Function | Combining Functions | Info | Go |
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Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide |
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| 120 | Function | Simplifying Composite Functions | Info | Go |
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Objective: To simplify, evaluate and determine the domain of composite functions |
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| 121 | Function | Inverse Functions | Info | Go |
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Objective: To find the inverse of a function and determine whether this inverse is itself a function |
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| 122 | Function | Graphing Rational Functions Part 1 | Info | Go |
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Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes |
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| 123 | Function | Graphing Rational Functions Part 2 | Info | Go |
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Objective: To determine asymptotes and graph rational functions |
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| 124 | Function | Polynomial Addition: in Combining and Simplifying Functions | Info | Go |
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Objective: To evaluate, simplify and graph rational functions |
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| 125 | Co-ordinate geometry part 1 | The Distance Formula | Info | Go |
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Objective: To use the distance formula to calculate the lengths of lines and distances |
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| 126 | Co-ordinate geometry part 1 | The Mid-Point Formula | Info | Go |
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Objective: To determine the mid-point of an interval using the mid-point formula |
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| 127 | Co-ordinate geometry part 1 | The Gradient | Info | Go |
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Objective: To find the gradient of a line given its angle of inclination or given rise and run |
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| 128 | Co-ordinate geometry part 1 | The Gradient Formula | Info | Go |
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Objective: To use the gradient formula to find the gradient of straight lines |
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| 129 | Co-ordinate geometry part 1 | The Straight Line | Info | Go |
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Objective: To state the equation of lines parallel to the axes and to graph equations x = a and y = b |
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| 130 | Co-ordinate geometry part 1 | Lines Through the Origin | Info | Go |
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Objective: To state the equation of lines passing through the origin and to graph y = mx |
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| 131 | Co-ordinate geometry part 1 | General Form of a Line and the x and y Intercepts | Info | Go |
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Objective: To write linear equations in general form, to find the x and y intercepts and to calculate area |
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| 132 | Co-ordinate geometry part 1 | Slope Intercept Form of a Line | Info | Go |
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Objective: To change equation to slope intercept form and graph it and to find equation given graph |
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| 133 | Co-ordinate geometry part 1 | Point Slope Form of a Line | Info | Go |
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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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| 134 | Co-ordinate geometry part 2 | Two Point Formula: equation of a line which joins a pair of points | Info | Go |
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Objective: To find the equation of the line which joins a pair of points |
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| 135 | Co-ordinate geometry part 2 | Intercept form of a straight line: find the equation when given x and y | Info | Go |
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Objective: To find the equation of a line given the x-axis and y-axis intercepts |
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| 136 | Co-ordinate geometry part 2 | Parallel Lines: identify equation of a line parallel to another | Info | Go |
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Objective: To change the standard form of a straight line equation to the y = mx + b form |
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| 137 | Co-ordinate geometry part 2 | Perpendicular Lines | Info | Go |
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Objective: To identify the equation of a line that is perpendicular to a given linear equation |
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| 138 | Co-ordinate geometry part 2 | Inequalities on the Number Plane | Info | Go |
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Objective: To identify the graph which matches a given inequality |
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| 139 | Pythagoras | Pythagoras' Theorem: Finding the Hypotenuse | Info | Go |
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Objective: To calculate the length of a hypotenuse using Pythagoras' Theorem |
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| 140 | Pythagoras | Using Pythagorean Triples to Identify Right Triangles | Info | Go |
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Objective: To identify right triangles by using Pythagorean Triples or Pythagoras' Theorem |
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| 141 | Pythagoras | Calculating the Hypotenuse of a right-angled Triangle | Info | Go |
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Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals |
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| 142 | Pythagoras | Calculating a Leg of a right-angled Triangle | Info | Go |
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Objective: To calculate the length of sides other than the hypotenuse using Pythagoras' Theorem |
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| 143 | Pythagoras | Proofs of Pythagoras' Theorem | Info | Go |
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Objective: To examine and complete proofs of Pythagoras' Theorem |
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| 144 | Trigonometry part 1 | Trigonometric Ratios | Info | Go |
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Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle |
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| 145 | Trigonometry part 1 | Using the Calculator | Info | Go |
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Objective: To determine trigonometric ratios using a calculator |
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| 146 | Trigonometry part 1 | Using the Trigonometric Ratios to find unknown length [Case 1 Sin] | Info | Go |
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Objective: To use the sine ratio to calculate the opposite side of a right-angled triangle |
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| 147 | Trigonometry part 1 | Using the Trigonometric Ratios to find unknown length [Case 2 Cosine] | Info | Go |
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Objective: To use the cosine ratio to calculate the adjacent side of a right-angle triangle |
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| 148 | Trigonometry part 1 | Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio] | Info | Go |
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Objective: To use the tangent ratio to calculate the opposite side of a right-angled triangle |
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| 149 | Trigonometry part 1 | Unknown in the Denominator [Case 4] | Info | Go |
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Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator |
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| 150 | Trigonometry part 1 | Bearings: The Compass | Info | Go |
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Objective: To change from true bearings to compass bearings and vice versa |
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| 151 | Trigonometry part 1 | Angles of Elevation and Depression | Info | Go |
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Objective: To identify and distinguish between angles of depression and elevation |
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| 152 | Trigonometry part 1 | Trigonometric Ratios in Practical Situations | Info | Go |
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Objective: To solve problems involving bearings and angles of elevation and depression |
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| 153 | Trigonometry part 1 | Using the Calculator to Find an Angle Given a Trigonometric Ratio | Info | Go |
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Objective: To find angles in right-angled triangles given trigonometric ratios |
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| 154 | Trigonometry part 1 | Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle | Info | Go |
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Objective: To use trigonometric ratios to determine angles in right-angled triangles and in problems |
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| 155 | Trigonometry part 1 | Trigonometric Ratios of 30, 45 and 60 Degrees: Exact Ratios | Info | Go |
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Objective: To determine the exact values of sin, cos and tan of 30, 45 and 60 degrees |
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| 156 | Measurement - Advanced area | Area of a Trapezium | Info | Go |
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Objective: To calculate the area of trapezia using A=(h/2)(a+b) |
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| 157 | Measurement - Advanced area | Area of a Rhombus | Info | Go |
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Objective: To calculate the area of a rhombus using diagonal products |
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| 158 | Measurement - Advanced area | Area of a Circle | Info | Go |
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Objective: To calculate the area of circles and sectors and to solve circle problems |
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| 159 | Measurement - Advanced area | Area of Regular Polygons and Composite Figures | Info | Go |
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Objective: To calculate area of composite figures and solve problems using correct formulae |
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| 160 | Surface area | Surface Area of a Cube/Rectangular Prism | Info | Go |
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Objective: To calculate the surface area of cubes and rectangular prisms |
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| 161 | Surface area | Surface Area of a Triangular/Trapezoidal Prism | Info | Go |
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Objective: To calculate the surface area of triangular and trapezoidal prisms |
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| 162 | Surface area | Surface Area of a Cylinder and Sphere | Info | Go |
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Objective: To calculate the surface area of cylinders and spheres |
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| 163 | Surface area | Surface Area of Pyramids | Info | Go |
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Objective: To calculate the surface area of pyramids |
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| 164 | Surface area | Surface Area of Composite Solids | Info | Go |
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Objective: To calculate the surface area of composite solids |
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| 165 | 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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| 166 | Measurement - Advanced volume | Volume of a Cylinder and Sphere | Info | Go |
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Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each |
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| 167 | Measurement - Advanced volume | Volume of Pyramids and Cones | Info | Go |
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Objective: To calculate the volumes of pyramids and cones |
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| 168 | Measurement - Advanced volume | Composite Solids | Info | Go |
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Objective: To calculate the volume of composite figures using appropriate formulae |
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| 169 | Graphs part 2 | Graphing complex polynomials: quadratics with no real roots | Info | Go |
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Objective: To graph quadratics that have no real roots, hence don't cut the x-axis |
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| 170 | Graphs part 2 | General equation of a circle: determine and graph the equation | Info | Go |
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Objective: To determine and graph the equation of a circle with radius a and centre (h,k) |
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| 171 | Graphs part 2 | Graphing cubic curves | Info | Go |
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Objective: To graph cubic curves whose equation is of the form y = (x - a)^3 + b or y = (a - x)^3 + b |
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| 172 | Graphs part 2 | Absolute Value Equations | Info | Go |
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Objective: To graph equations involving absolute values |
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| 173 | Graphs part 2 | The Rectangular Hyperbola | Info | Go |
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Objective: To graph rectangular hyperbolae whose equations are of the form xy = a and y = a/x |
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| 174 | Graphs part 2 | Logarithmic Functions | Info | Go |
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Objective: To graph and describe log curves whose equations are of the form y = log (ax + b) |
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| 175 | Geometry part 3 | The Triangle Inequality Theorem | Info | Go |
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Objective: To use the triangle inequality theorem to determine constructability of triangles |
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| 176 | Uniform motion | The Speed Formula | Info | Go |
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Objective: To calculate speed, distance or time using speed = distance/time |
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| 177 | Uniform motion | Using Subscripted Variables | Info | Go |
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Objective: To use subscripted variables to solve motion problems |
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| 178 | Uniform motion | Uniform Motion With Equal Distances | Info | Go |
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Objective: To solve motion problems where distances are equal |
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| 179 | Uniform motion | Uniform Motion Adding the Distances | Info | Go |
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Objective: To solve motion problems where total distance travelled is given |
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| 180 | Uniform motion | Uniform Motion With Unequal Distances or Time | Info | Go |
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Objective: To solve motion problems where either distance or time are different |
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| 181 | Uniform motion | Uniform Motion Problems Where the Rate is Constant | Info | Go |
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Objective: To solve miscellaneous motion problems where the rate is constant |
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| 182 | Statistics part 1 | Frequency distribution table | Info | Go |
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Objective: To construct a frequency distribution table for raw data and to interpret the table |
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| 183 | Statistics part 1 | Frequency histograms and polygons | Info | Go |
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Objective: To construct and interpret frequency histograms and polygons |
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| 184 | Statistics part 1 | Relative Frequency | Info | Go |
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Objective: To extend the frequency distribution table to include a relative frequency column |
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| 185 | Statistics part 1 | The Range | Info | Go |
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Objective: To determine the range of data in either raw form or in a frequency distribution table |
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| 186 | Statistics part 1 | The Mode | Info | Go |
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Objective: To find the mode from raw data and from a frequency distribution table |
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| 187 | Statistics part 1 | The Mean | Info | Go |
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Objective: To calculate means from raw data and from a frequency table using an fx column |
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| 188 | Statistics part 1 | The Median | Info | Go |
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Objective: To determine the median of a set of raw scores |
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| 189 | Statistics part 1 | Cumulative Frequency | Info | Go |
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Objective: To construct cumulative frequency columns, histograms and polygons |
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| 190 | Statistics part 1 | Calculating the Mean from a Frequency Distribution | Info | Go |
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Objective: To determine averages (mean, median and mode) from cumulative frequency polygons |
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| 191 | Matrices | Vectors | Info | Go |
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Objective: To use vectors to find resultant speeds and displacements |
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| 192 | Matrices - Linear systems | Number of Solutions | Info | Go |
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Objective: To determine solutions to systems of equations |
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| 193 | Matrices - Linear systems | Vector Addition in 2 and 3D | Info | Go |
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Objective: To represent, add, subtract and determine the direction of vectors |
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| 194 | Matrices - Linear systems | Optimal Solutions | Info | Go |
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Objective: To use linear programming to maximise or minimise an objective function |
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| 195 | Statistics part 2 | Calculating mean, mode and median from grouped data | Info | Go |
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Objective: To identify class centres, get frequency counts and determine mean, mode and median values |
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| 196 | Statistics part 2 | Using the Calculator for Statistics | Info | Go |
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Objective: To find a mean, using a data set or a frequency distribution table and calculator. |
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| 197 | Statistics part 2 | Measures of Spread | Info | Go |
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Objective: To determine a range and use it in decision making |
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| 198 | Statistics part 2 | Standard deviation applications | Info | Go |
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Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator |
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| 199 | Statistics part 2 | Applications of Standard Deviation | Info | Go |
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Objective: To use standard deviation as a measure of deviation from a mean |
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| 200 | Statistics part 2 | The Normal Distribution | Info | Go |
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Objective: To use the standard deviation of a normal distribution to find a percentage of scores within ranges |
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| 201 | Statistics part 2 | Measures of Spread: the interquartile range | Info | Go |
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Objective: To find the upper and lower quartiles and the interquartile range |
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| 202 | Statistics part 1 | Stem and Leaf Plots along with Box and Whisker Plots | Info | Go |
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Objective: To derive statistics from data represented as stem & leaf or box & whisker plots |
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| 203 | Statistics part 1 | The Scatter plot | Info | Go |
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Objective: To make a valid interpretation of data presented as a scatter plot |
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| 204 | Exam | Exam - Grades 9/10 - Integrated Algebra | Info | Go |
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Objective: Exam |
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