| # | TOPIC | TITLE | +/- | |
|---|---|---|---|---|
| 1 | Self Assessment | Self Assessment - Grades 11 - 12: Algebra II | Info | Go |
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Objective: Assessment |
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| 2 | 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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| 3 | 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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| 4 | 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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| 5 | 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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| 6 | 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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| 7 | 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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| 8 | 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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| 9 | 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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| 10 | 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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| 11 | 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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| 12 | 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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| 13 | 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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| 14 | 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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| 15 | 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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| 16 | 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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| 17 | 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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| 18 | 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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| 19 | 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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| 20 | 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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| 21 | 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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| 22 | 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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| 23 | 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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| 24 | 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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| 25 | 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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| 26 | 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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| 27 | 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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| 28 | 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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| 29 | Absolute value | Solving Absolute Value Equations | Info | Go |
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Objective: To solve equations involving absolute values |
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| 30 | 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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| 31 | Simultaneous equations | Simultaneous Equations | Info | Go |
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Objective: To solve simultaneous equations by substitution |
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| 32 | Simultaneous equations | Elimination method | Info | Go |
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Objective: To solve simultaneous equations by elimination |
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| 33 | 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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| 34 | Simultaneous equations | Applications of simultaneous equations | Info | Go |
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Objective: To solve problems using simultaneous equations |
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| 35 | 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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| 36 | 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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| 37 | 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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| 38 | 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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| 39 | Pythagoras | Proofs of Pythagoras' Theorem | Info | Go |
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Objective: To examine and complete proofs of Pythagoras' Theorem |
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| 40 | Surds/Radicals | Introducing surds | Info | Go |
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Objective: To recognise and simplify numerical expressions involving surds |
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| 41 | 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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| 42 | Surds/Radicals | Simplifying Surds | Info | Go |
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Objective: To simplify numerical expressions and solve equations involving surds |
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| 43 | 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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| 44 | 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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| 45 | Surds/Radicals | Expanding surds | Info | Go |
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Objective: To expand and simplify binomial expressions involving surds |
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| 46 | 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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| 47 | 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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| 48 | 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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| 49 | 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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| 50 | Graphs part 1 | The Circle: to find radii of circles | Info | Go |
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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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| 51 | Graphs part 1 | The semicircle: to select the equation given the semicircle and vice versa | Info | Go |
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Objective: To select the equation given a semicircle and vice versa |
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| 52 | 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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| 53 | 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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| 54 | 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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| 55 | 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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| 56 | Graphs part 1 | Solving Simultaneous Equations graphically | Info | Go |
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Objective: To solve simultaneous equations graphically |
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| 57 | 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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| 58 | 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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| 59 | 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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| 60 | 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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| 61 | 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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| 62 | 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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| 63 | 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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| 64 | 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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| 65 | 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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| 66 | 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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| 67 | 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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| 68 | 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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| 69 | 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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| 70 | 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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| 71 | 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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| 72 | 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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| 73 | 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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| 74 | 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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| 75 | Algebra - Products and factors | Sum and Difference of Two Cubes | Info | Go |
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Objective: To factorise the sum and difference of two cubes |
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| 76 | Algebra - Products and factors | Simplifying algebraic fractions | Info | Go |
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Objective: To simplify algebraic fractions by factorisation and cancellation |
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| 77 | Logic | Inductive and Deductive Reasoning | Info | Go |
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Objective: To identify and use inductive and deductive reasoning |
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| 78 | Logic | Disproof of Counter Example | Info | Go |
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Objective: To identify a statement as a counter example to disprove a statement |
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| 79 | Logic | Proof by Disproof of a Contradictory Statement | Info | Go |
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Objective: To prove that a statement is true by proving that the contradictory statement is false |
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| 80 | Logic | Mathematical induction | Info | Go |
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Objective: To use proof by mathematical induction |
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| 81 | Logic | Conditional statements (converse, inverse and contrapositive) (Stage 2) | Info | Go |
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Objective: On completion of the lesson the student will be able to form related conditional statements. |
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| 82 | 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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| 83 | 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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| 84 | 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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| 85 | Algebra - Quadratic equations | Completing the square | Info | Go |
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Objective: To complete an incomplete square |
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| 86 | 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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| 87 | 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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| 88 | 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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| 89 | 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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| 90 | 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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| 91 | 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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| 92 | 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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| 93 | Probability | Experimental probability | Info | Go |
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Objective: To find the experimental probabilities of an experimental trial |
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| 94 | 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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| 95 | 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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| 96 | 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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| 97 | 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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| 98 | 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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| 99 | Probability | Counting techniques and ordered selections | Info | Go |
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Objective: To use counting techniques in probability |
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| 100 | Probability | Unordered selections - combinations | Info | Go |
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Objective: To use the nCr formula to solve problems where unordered selections occur |
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| 101 | Matrices | Matrices: basic concepts | Info | Go |
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Objective: To write and state the order of a matrix and to identify square matrices |
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| 102 | Matrices | Addition and Subtraction of Matrices | Info | Go |
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Objective: To add and subtract matrices |
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| 103 | Matrices | Scalar matrix: multiplication | Info | Go |
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Objective: To multiply a matrix by a scalar |
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| 104 | Matrices | Multiplication of one matrix by another matrix | Info | Go |
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Objective: To perform matrix multiplication and to recognise that AB is not equal to BA |
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| 105 | Matrices | Translation in the number plane | Info | Go |
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Objective: To use matrix addition to translate points |
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| 106 | Matrices | Translation by matrix multiplication | Info | Go |
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Objective: To transform points and objects by matrix multiplication |
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| 107 | Matrices | Special Transformations: Reflections, Rotations and Enlargements | Info | Go |
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Objective: To reflect, rotate and enlarge geometric shapes using matrix multiplication |
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| 108 | Matrices | Vectors | Info | Go |
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Objective: To use vectors to find resultant speeds and displacements |
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| 109 | Matrices - Linear systems | Number of Solutions | Info | Go |
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Objective: To determine solutions to systems of equations |
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| 110 | 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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| 111 | 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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| 112 | Matrices - Linear systems | Linear Systems with Matrices | Info | Go |
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Objective: To identify and describe matrices and perform row operations in matrices |
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| 113 | Matrices - Linear systems | Row Echelon Form | Info | Go |
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Objective: To identify and create matrices in row echelon form and to solve systems of equations |
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| 114 | Matrices - Linear systems | Gauss Jordan Elimination | Info | Go |
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Objective: To use the Gauss Jordan Elimination Method to solve systems of linear equations |
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| 115 | 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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| 116 | 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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| 117 | 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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| 118 | Graphs part 2 | Absolute Value Equations | Info | Go |
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Objective: To graph equations involving absolute values |
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| 119 | 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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| 120 | 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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| 121 | 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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| 122 | Conic sections | Introduction to Conic Sections and Their General Equation | Info | Go |
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Objective: To identify the conic from its equation by examining the coefficients of x^2 and y^2 |
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| 123 | Conic sections | The Parabola | Info | Go |
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Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px |
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| 124 | Conic sections | Circles | Info | Go |
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Objective: To graph circles of the form x^2 + y^2 = r^2 and to form the equation of the given circles |
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| 125 | Conic sections | The Ellipsis | Info | Go |
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Objective: To identify ellipses of the form x^2/a^2 + y^2/b^2 = 1 and to find the equation of ellipses |
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| 126 | Conic sections | The Hyperbola | Info | Go |
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Objective: To find the equation of a hyperbola and to derive properties (e.g. vertex) from its equation |
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| 127 | 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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| 128 | Function | Function Notation | Info | Go |
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Objective: To write and evaluate functions using function notation |
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| 129 | Function | Selecting Appropriate Domain and Range | Info | Go |
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Objective: To determine appropriate domains for functions |
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| 130 | 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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| 131 | Function | Evaluating and Graphing Piecewise Functions | Info | Go |
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Objective: To evaluate and graph piecewise functions |
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| 132 | 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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| 133 | 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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| 134 | 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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| 135 | 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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| 136 | Function | Graphing Rational Functions Part 2 | Info | Go |
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Objective: To determine asymptotes and graph rational functions |
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| 137 | Function | Parametric Equations | Info | Go |
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Objective: To interchange parametric and Cartesian equations and to identify graphs |
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| 138 | 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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| 139 | Function | Parametric Functions | Info | Go |
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Objective: To change Cartesian and parametric equations and to graph parametric functions |
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| 140 | Logarithms | Powers of 2 | Info | Go |
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Objective: To convert between logarithm statements and indice statements |
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| 141 | Logarithms | Equations of type log x to the base 3 = 4 | Info | Go |
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Objective: To find the value of x in a statement of type log x to the base 3 = 4 |
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| 142 | Logarithms | Equations of type log 32 to the base x = 5 | Info | Go |
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Objective: To solve Logrithmic Equation where the variable is the base x = 5 |
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| 143 | Logarithms | Laws of Logarithms | Info | Go |
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Objective: To review the logarithm laws |
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| 144 | Logarithms | Using the Log Laws to Expand Logarithmic Expressions | Info | Go |
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Objective: To expand expressions using the logarithm laws |
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| 145 | Logarithms | Using the Log Laws to Simplify Expressions Involving Logarithms | Info | Go |
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Objective: To simplify expressions using the logarithm laws |
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| 146 | Logarithms | Using the Log Laws to Find the Logarithms of Numbers | Info | Go |
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Objective: To find the logarithm of a number, with an unknown base, using the logarithm laws |
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| 147 | Logarithms | Equations Involving Logarithms | Info | Go |
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Objective: To solve equations involving logarithms using the logarithm laws |
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| 148 | Logarithms | Using Logarithms to Solve Equations | Info | Go |
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Objective: To use logarithms to solve exponential equations |
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| 149 | Logarithms | Change of Base Formula | Info | Go |
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Objective: To evaluate log expressions using logarithms |
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| 150 | Logarithms | The Graph of the Logarithmic Curve | Info | Go |
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Objective: To learn the properties of the logarithmic curve |
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| 151 | Logarithms | The Graph of the Logarithmic Curve | Info | Go |
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Objective: To solve problems involving logarithmic curves |
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| 152 | Complex numbers | Complex Numbers: Adding and Subtracting | Info | Go |
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Objective: To recognise and manipulate simple complex numbers and expressions |
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| 153 | Complex numbers | Complex Numbers: Multiplying and Dividing | Info | Go |
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Objective: To perform multiplication and division of complex numbers |
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| 154 | Complex numbers | Adding and Subtracting Complex Numbers using Vectors | Info | Go |
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Objective: To perform complex number operations graphically using vectors |
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| 155 | Complex numbers | The Absolute Value of a Complex Number | Info | Go |
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Objective: To find the absolute value of a complex number |
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| 156 | Complex numbers | Trigonometric Form of a Complex Number | Info | Go |
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Objective: To find the trigonometric form of a complex number |
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| 157 | Complex numbers | Multiplication and Division of Complex Numbers in Trigonometric Form | Info | Go |
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Objective: To multiply and divide complex numbers using DeMoivre's Theorem |
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| 158 | Complex numbers | DeMoivre's theorem | Info | Go |
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Objective: To find powers of complex numbers using DeMoivre's theorem |
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| 159 | Complex numbers | The nth Root of Real and Complex Numbers | Info | Go |
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Objective: To find the roots of a complex function using DeMoivre's theorem |
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| 160 | Complex numbers | Fundamental Theorem of Algebra | Info | Go |
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Objective: To find the nth zeros of a polynomial function both real and complex |
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| 161 | Polynomials | Introduction to polynomials | Info | Go |
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Objective: To define polynomials by degree, leading term, leading coefficient, constant term and monic |
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| 162 | Polynomials | The Sum, Difference and Product of Two Polynomials | Info | Go |
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Objective: To add, subtract and multiply polynomials |
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| 163 | Polynomials | Polynomials and Long Division | Info | Go |
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Objective: To perform long division of polynomials, finding quotient and remainder |
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| 164 | Polynomials | The Remainder Theorem | Info | Go |
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Objective: To determine a remainder when a first polynomial is divided by a second |
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| 165 | Polynomials | More on Remainder Theorem | Info | Go |
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Objective: To determine polynomial coefficients given a divisor and remainder |
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| 166 | Polynomials | The factor theorem | Info | Go |
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Objective: To use the factor theorem to show that (x-a) is a factor of P(x) |
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| 167 | Polynomials | More on the factor theorem | Info | Go |
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Objective: To use the factor theorem to find algebraic variables in polynomials |
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| 168 | Polynomials | Complete factorisations using the factor theorem | Info | Go |
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Objective: To use the factor theorem to derive factors of a polynomial |
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| 169 | Polynomials | Polynomial equations | Info | Go |
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Objective: To practise solving polynomial equations |
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| 170 | Polynomials | Graphs of polynomials | Info | Go |
|
Objective: To derive graphs of polynomials by factorising |
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| 171 | Polynomials | The Sum and Product of the Roots of Quadratic Equations. | Info | Go |
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Objective: Sum and product of roots of quadratic equations. |
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| 172 | Polynomials | The Sum and Product of the Roots of Cubic and Quartic Equations. | Info | Go |
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Objective: Sum and product of toots of cubic and quartic equations. |
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| 173 | Polynomials | Methods of Approximating Roots. | Info | Go |
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Objective: Methods of approximating roots. |
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| 174 | Polynomials | Newton's Method of Approximation. | Info | Go |
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Objective: Newton's method of approximation. |
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| 175 | Series and sequences part 1 | General Sequences | Info | Go |
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Objective: To use the general form of the n'th term of a sequence to find the first 3 terms |
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| 176 | Series and sequences part 1 | Finding Tn Given Sn | Info | Go |
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Objective: To find the value of the n'th term in a sequence given the sum of the first n terms |
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| 177 | Series and sequences part 1 | The Arithmetic Progression | Info | Go |
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Objective: To find the common difference of a given arithmetic progression |
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| 178 | Series and sequences part 1 | Finding the position of a term in an A.P. | Info | Go |
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Objective: To find the position of a term in a sequence, given an arithmetic progression and a value term |
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| 179 | Series and sequences part 1 | Given two terms of A.P. find the sequence | Info | Go |
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Objective: To find the first term and the common difference in an A.P. given the values and positions of two terms |
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| 180 | Series and sequences part 1 | Arithmetic Means | Info | Go |
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Objective: To find the arithmetic mean of two values |
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| 181 | Series and sequences part 1 | The sum to n terms of an A.P. | Info | Go |
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Objective: To find the sum of n terms of an arithmetic progression given the first three terms |
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| 182 | Series and sequences part 1 | The Geometric Progression | Info | Go |
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Objective: To find the common ratio of a given geometric progression |
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| 183 | Series and sequences part 1 | Finding the position of a term in a G.P. | Info | Go |
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Objective: To find the place of a term in a given geometric progression |
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| 184 | Series and sequences part 1 | Given two terms of G.P. find the sequence | Info | Go |
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Objective: To find the first term given two terms of a geometric progression |
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| 185 | Series and sequences part 2 | Geometric Means | Info | Go |
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Objective: To find geometric means of a and b and insert geometric means between 2 endpoints |
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| 186 | Series and sequences part 2 | The sum to n terms of a G.P. | Info | Go |
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Objective: To find the sum of n terms of a sequence |
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| 187 | Series and sequences part 2 | Sigma notation | Info | Go |
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Objective: To evaluate progressions using sigma notation |
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| 188 | Series and sequences part 2 | Limiting Sum or Sum to Infinity | Info | Go |
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Objective: To find the limiting sum of a sequence |
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| 189 | Series and sequences part 2 | Recurring Decimals and the Infinite G.P. | Info | Go |
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Objective: To express recurring decimals as a G.P. and to express the limiting sum as a fraction |
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| 190 | Series and sequences part 2 | Compound Interest | Info | Go |
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Objective: To calculate the compound interest of an investment using A=P(1+r/100)^n |
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| 191 | Series and sequences part 2 | Superannuation | Info | Go |
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Objective: To calculate the end value of adding a regular amount to a fund with stable interest paid over time |
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| 192 | Series and sequences part 2 | Time Payments | Info | Go |
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Objective: To calculate the payments required to pay off a loan |
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| 193 | Exam | Exam - Grades 11 - 12: Algebra II | Info | Go |
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Objective: Exam |
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