| # | TOPIC | TITLE | +/- | |
|---|---|---|---|---|
| 1 | Study Plan | Study plan - Grade 9-10 Algebra I | 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 | 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: 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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| 7 | 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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| 8 | 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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| 9 | 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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| 10 | 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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| 11 | 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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| 12 | 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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| 13 | 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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| 14 | 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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| 15 | 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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| 16 | 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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| 17 | 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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| 18 | 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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| 19 | 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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| 20 | 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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| 21 | 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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| 22 | 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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| 23 | Absolute value | Solving Absolute Value Equations | Info | Go |
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Objective: To solve equations involving absolute values |
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| 24 | 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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| 25 | Simultaneous equations | Simultaneous Equations | Info | Go |
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Objective: To solve simultaneous equations by substitution |
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| 26 | Simultaneous equations | Elimination method | Info | Go |
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Objective: To solve simultaneous equations by elimination |
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| 27 | 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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| 28 | Simultaneous equations | Applications of simultaneous equations | Info | Go |
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Objective: To solve problems using simultaneous equations |
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| 29 | 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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| 30 | 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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| 31 | 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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| 32 | 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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| 33 | 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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| 34 | 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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| 35 | 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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| 36 | 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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| 37 | 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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| 38 | 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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| 39 | 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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| 40 | Graphs part 1 | Solving Simultaneous Equations graphically | Info | Go |
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Objective: To solve simultaneous equations graphically |
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| 41 | 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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| 42 | Uniform motion | Using Subscripted Variables | Info | Go |
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Objective: To use subscripted variables to solve motion problems |
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| 43 | 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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| 44 | 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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| 45 | 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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| 46 | 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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| 47 | 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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| 48 | 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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| 49 | 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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| 50 | 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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| 51 | 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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| 52 | 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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| 53 | 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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| 54 | 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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| 55 | 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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| 56 | Statistics part 1 | Cumulative Frequency | Info | Go |
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Objective: To construct cumulative frequency columns, histograms and polygons |
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| 57 | 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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| 58 | 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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| 59 | 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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| 60 | 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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| 61 | 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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| 62 | 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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| 63 | 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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| 64 | 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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| 65 | 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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| 66 | 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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| 67 | 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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| 68 | Function | Function Notation | Info | Go |
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Objective: To write and evaluate functions using function notation |
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| 69 | Function | Selecting Appropriate Domain and Range | Info | Go |
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Objective: To determine appropriate domains for functions |
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| 70 | 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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| 71 | Function | Evaluating and Graphing Piecewise Functions | Info | Go |
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Objective: To evaluate and graph piecewise functions |
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| 72 | 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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| 73 | 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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| 74 | 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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| 75 | 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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| 76 | 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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| 77 | 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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| 78 | 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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| 79 | Function | Graphing Rational Functions Part 2 | Info | Go |
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Objective: To determine asymptotes and graph rational functions |
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| 80 | 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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| 81 | 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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| 82 | 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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| 83 | 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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| 84 | 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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| 85 | 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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| 86 | 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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| 87 | 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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| 88 | 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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| 89 | 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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| 90 | 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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| 91 | 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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| 92 | 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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| 93 | 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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| 94 | 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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| 95 | 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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| 96 | 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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| 97 | 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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| 98 | 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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| 99 | 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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| 100 | Algebra - Quadratic equations | Completing the square | Info | Go |
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Objective: To complete an incomplete square |
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| 101 | 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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| 102 | 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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| 103 | 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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| 104 | 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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| 105 | 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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| 106 | 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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| 107 | 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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| 108 | 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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| 109 | 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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| 110 | 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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| 111 | Indices/Exponents | Negative Indices | Info | Go |
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Objective: To evaluate or simplify expressions containing negative indices |
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| 112 | Indices/Exponents | Fractional Indices | Info | Go |
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Objective: To evaluate or simplify expressions containing fractional indices |
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| 113 | 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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| 114 | 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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| 115 | 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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| 116 | 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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| 117 | Graphs part 2 | Absolute Value Equations | Info | Go |
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Objective: To graph equations involving absolute values |
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| 118 | 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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| 119 | 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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| 120 | Logarithms | Powers of 2 | Info | Go |
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Objective: To convert between logarithm statements and indice statements |
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| 121 | 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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| 122 | 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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| 123 | 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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| 124 | Exam | Exam - Grade 9-10 Algebra I | Info | Go |
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Objective: Exam |
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