| # | TOPIC | TITLE | +/- | |
|---|---|---|---|---|
| 1 | Self Assessment | Self Assessment - Grade 8-12 Algebra I | Info | Go |
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Objective: Assessment |
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| 2 | 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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| 3 | Decimals | Subtracting decimals to two decimal places | Info | Go |
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Objective: To subtract decimals with the same number of decimal places (to two decimal places) |
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| 4 | 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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| 5 | Rules for indices/exponents | Subtracting indices when dividing terms with the same base | Info | Go |
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Objective: On completion of the lesson the student will know how to use the index law of subtraction of powers when dividing terms with the same base. |
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| 6 | 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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| 7 | 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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| 8 | 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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| 9 | Indices/Exponents | Negative Indices | Info | Go |
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Objective: To evaluate or simplify expressions containing negative indices |
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| 10 | Fractional indices/exponents | Fractional indices | Info | Go |
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Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing fractional indices. |
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| 11 | 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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| 12 | 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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| 13 | Absolute value | Solving Absolute Value Equations | Info | Go |
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Objective: To solve equations involving absolute values |
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| 14 | 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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| 15 | 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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| 16 | 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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| 17 | 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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| 18 | 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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| 19 | Algebra- formulae | Changing the subject of the formula. | Info | Go |
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Objective: On completion of the lesson the student will be able to move pronumerals around an equation using all the rules and operations covered previously. |
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| 20 | 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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| 21 | 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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| 22 | 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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| 23 | 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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| 24 | 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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| 25 | 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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| 26 | 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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| 27 | Simultaneous equations | Simultaneous Equations | Info | Go |
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Objective: To solve simultaneous equations by substitution |
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| 28 | Simultaneous equations | Elimination method | Info | Go |
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Objective: To solve simultaneous equations by elimination |
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| 29 | 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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| 30 | Simultaneous equns | Applications of simultaneous equations | Info | Go |
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Objective: On completion of this lesson the student will be able to derive simultaneous equations from a given problem and then solve those simultaneous equations. |
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| 31 | Matrices - Linear systems | Number of Solutions | Info | Go |
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Objective: To determine solutions to systems of equations |
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| 32 | 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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| 33 | 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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| 34 | 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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| 35 | 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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| 36 | 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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| 37 | 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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| 38 | 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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| 39 | 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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| 40 | 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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| 41 | 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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| 42 | 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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| 43 | 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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| 44 | 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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| 45 | Squaring binomial | Squaring a binomial [non-monic]. | Info | Go |
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Objective: On completion of the lesson the student will apply the same rule that is used with monic binomials. |
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| 46 | 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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| 47 | 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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| 48 | 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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| 49 | 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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| 50 | 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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| 51 | 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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| 52 | 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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| 53 | 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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| 54 | 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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| 55 | 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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| 56 | 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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| 57 | Algebraic fractions | Simplifying algebraic fractions. | Info | Go |
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Objective: On completion of the lesson the student should be familiar with all of the factorisation methods presented to this point. |
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| 58 | 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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| 59 | 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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| 60 | Algebraic equations | Solving two step equations | Info | Go |
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Objective: On completion of the lesson the student will be able to solve two step equations. |
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| 61 | 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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| 62 | Function | Evaluating and Graphing Piecewise Functions | Info | Go |
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Objective: To evaluate and graph piecewise functions |
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| 63 | 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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| 64 | 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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| 65 | 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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| 66 | Factorising quads | Factorising quadratic trinomials [monic] - Case 4. | Info | Go |
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Objective: On completion of the lesson the student will understand how to factorise all of the possible types of monic quadratic trinomials and specifcally where the 2nd term and 3rd terms are negative. |
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| 67 | 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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| 68 | 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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| 69 | 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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| 70 | 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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| 71 | 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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| 72 | Algebra - Quadratic equations | Completing the square | Info | Go |
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Objective: To complete an incomplete square |
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| 73 | 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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| 74 | 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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| 75 | Uniform motion | Using Subscripted Variables | Info | Go |
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Objective: To use subscripted variables to solve motion problems |
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| 76 | 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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| 77 | 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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| 78 | Uniform motion | Uniform motion with unequal distances | Info | Go |
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Objective: On completion of the lesson the student will use subscripted variables for calculations of speed, unequal distances and time. |
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| 79 | 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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| 80 | Uniform motion | Vertical Motion under gravity: Object Dropped from Rest | Info | Go |
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Objective: To calculate velocity, time and distance for vertically falling objects dropped from rest |
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| 81 | Uniform motion | Vertical Motion under gravity: Initial Velocity not Zero | Info | Go |
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Objective: To calculate velocity, time and distance for vertical motion with initial velocity not zero |
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| 82 | 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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| 83 | Function | Function Notation | Info | Go |
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Objective: To write and evaluate functions using function notation |
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| 84 | Functions | More on domain and range | Info | Go |
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Objective: On completion of the lesson the student will be able to describe the domain and range using appropriate set notation. |
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| 85 | 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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| 86 | Quadratic equations | Problem solving with quadratic equations | Info | Go |
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Objective: On completion of the lesson the student will be able to express a problem as a quadratic equation and then solve it. |
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| 87 | 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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| 88 | Geometry-parabola | The parabola: to describe properties of a parabola from its equation | Info | Go |
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Objective: On completion of the lesson the student will be able to predict the general shape and important features of a parabola and then graph the parabola to check the predictions. |
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| 89 | 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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| 90 | 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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| 91 | 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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| 92 | Graphs part 1 | Solving Simultaneous Equations graphically | Info | Go |
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Objective: To solve simultaneous equations graphically |
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| 93 | Logic | Inductive and Deductive Reasoning | Info | Go |
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Objective: To identify and use inductive and deductive reasoning |
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| 94 | 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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| 95 | 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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| 96 | Exam | Exam - Grade 8-12 Algebra I | Info | Go |
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Objective: Exam |
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