You have selected Grade 11 - ACT Intermediate Algebra and Coordinate Geometry Entrance Exam

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109 Exam Exam - Grade 11 - ACT Intermediate Algebra & Coordinate Geometry Entrance Exam Info Go

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108 Matrices - Linear systems Gauss Jordan Elimination Info Go

Objective: To use the Gauss Jordan Elimination Method to solve systems of linear equations

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107 Matrices - Linear systems Row Echelon Form Info Go

Objective: To identify and create matrices in row echelon form and to solve systems of equations

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106 Matrices - Linear systems Linear Systems with Matrices Info Go

Objective: To identify and describe matrices and perform row operations in matrices

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105 Matrices - Linear systems Optimal Solutions Info Go

Objective: To use linear programming to maximise or minimise an objective function

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104 Matrices - Linear systems Vector Addition in 2 and 3D Info Go

Objective: To represent, add, subtract and determine the direction of vectors

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103 Matrices - Linear systems Number of Solutions Info Go

Objective: To determine solutions to systems of equations

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102 Matrices Vectors Info Go

Objective: To use vectors to find resultant speeds and displacements

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101 Matrices Special Transformations: Reflections, Rotations and Enlargements Info Go

Objective: To reflect, rotate and enlarge geometric shapes using matrix multiplication

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100 Matrices Translation by matrix multiplication Info Go

Objective: To transform points and objects by matrix multiplication

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99 Matrices Translation in the number plane Info Go

Objective: To use matrix addition to translate points

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98 Matrices Multiplication of one matrix by another matrix Info Go

Objective: To perform matrix multiplication and to recognise that AB is not equal to BA

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97 Matrices Scalar matrix: multiplication Info Go

Objective: To multiply a matrix by a scalar

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96 Matrices Addition and Subtraction of Matrices Info Go

Objective: To add and subtract matrices

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95 Matrices Matrices: basic concepts Info Go

Objective: To write and state the order of a matrix and to identify square matrices

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94 Function Polynomial Addition: in Combining and Simplifying Functions Info Go

Objective: To evaluate, simplify and graph rational functions

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93 Function Parametric Equations Info Go

Objective: To interchange parametric and Cartesian equations and to identify graphs

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92 Function Graphing Rational Functions Part 2 Info Go

Objective: To determine asymptotes and graph rational functions

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91 Function Graphing Rational Functions Part 1 Info Go

Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes

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90 Function Inverse Functions Info Go

Objective: To find the inverse of a function and determine whether this inverse is itself a function

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89 Function Simplifying Composite Functions Info Go

Objective: To simplify, evaluate and determine the domain of composite functions

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88 Function Combining Functions Info Go

Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide

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87 Function Evaluating and Graphing Piecewise Functions Info Go

Objective: To evaluate and graph piecewise functions

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86 Function Domain and Range from Graphical Representations Info Go

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

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85 Function Selecting Appropriate Domain and Range Info Go

Objective: To determine appropriate domains for functions

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84 Function Function Notation Info Go

Objective: To write and evaluate functions using function notation

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83 Function Functions and Relations: domain and range Info Go

Objective: To identify and represent functions and relations

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82 Conic sections The Hyperbola Info Go

Objective: To find the equation of a hyperbola and to derive properties (e.g. vertex) from its equation

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81 Conic sections The Ellipsis Info Go

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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80 Conic sections Circles Info Go

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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79 Conic sections The Parabola Info Go

Objective: To examine the properties of parabolas of the forms x^2 = 4py and y^2 = 4px

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78 Conic sections Introduction to Conic Sections and Their General Equation Info Go

Objective: To identify the conic from its equation by examining the coefficients of x^2 and y^2

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77 Graphs part 2 Logarithmic Functions Info Go

Objective: To graph and describe log curves whose equations are of the form y = log (ax + b)

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76 Graphs part 2 The Exponential Function Info Go

Objective: To graph exponential curves whose exponents are either positive or negative

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75 Graphs part 2 The Rectangular Hyperbola Info Go

Objective: To graph rectangular hyperbolae whose equations are of the form xy = a and y = a/x

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74 Graphs part 2 Absolute Value Equations Info Go

Objective: To graph equations involving absolute values

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73 Graphs part 2 Graphing cubic curves Info Go

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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72 Graphs part 2 General equation of a circle: determine and graph the equation Info Go

Objective: To determine and graph the equation of a circle with radius a and centre (h,k)

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71 Graphs part 2 Graphing complex polynomials: quadratics with no real roots Info Go

Objective: To graph quadratics that have no real roots, hence don't cut the x-axis

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70 Co-ordinate geometry part 2 Perpendicular Distance Info Go

Objective: To calculate the perpendicular distance from a point to a line and between lines

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

Objective: To identify the graph which matches a given inequality

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68 Co-ordinate geometry part 2 Perpendicular Lines Info Go

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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58 Co-ordinate geometry part 1 The Gradient Info Go

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

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

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

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

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

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55 Absolute value Solving and Graphing Inequalities Info Go

Objective: To graph the solution set of absolute value inequalities

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54 Complex numbers Fundamental Theorem of Algebra Info Go

Objective: To find the nth zeros of a polynomial function both real and complex

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53 Complex numbers The nth Root of Real and Complex Numbers Info Go

Objective: To find the roots of a complex function using DeMoivre's theorem

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52 Complex numbers DeMoivre's theorem Info Go

Objective: To find powers of complex numbers using DeMoivre's theorem

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51 Complex numbers Multiplication and Division of Complex Numbers in Trigonometric Form Info Go

Objective: To multiply and divide complex numbers using DeMoivre's Theorem

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50 Complex numbers Trigonometric Form of a Complex Number Info Go

Objective: To find the trigonometric form of a complex number

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49 Complex numbers The Absolute Value of a Complex Number Info Go

Objective: To find the absolute value of a complex number

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48 Complex numbers Adding and Subtracting Complex Numbers using Vectors Info Go

Objective: To perform complex number operations graphically using vectors

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47 Complex numbers Complex Numbers: Multiplying and Dividing Info Go

Objective: To perform multiplication and division of complex numbers

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46 Complex numbers Complex Numbers: Adding and Subtracting Info Go

Objective: To recognise and manipulate simple complex numbers and expressions

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45 Polynomials The Remainder Theorem Info Go

Objective: To determine a remainder when a first polynomial is divided by a second

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44 Polynomials Polynomials and Long Division Info Go

Objective: To perform long division of polynomials, finding quotient and remainder

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43 Polynomials The Sum, Difference and Product of Two Polynomials Info Go

Objective: To add, subtract and multiply polynomials

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42 Polynomials Introduction to polynomials Info Go

Objective: To define polynomials by degree, leading term, leading coefficient, constant term and monic

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41 Calculus part 1 Differentiation of y = x to the power of n Info Go

Objective: To differentiate algebraic functions using the laws of differentiation

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40 Series and sequences part 1 Given two terms of G.P. find the sequence Info Go

Objective: To find the first term given two terms of a geometric progression

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39 Series and sequences part 1 Finding the position of a term in a G.P. Info Go

Objective: To find the place of a term in a given geometric progression

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38 Series and sequences part 1 The Geometric Progression Info Go

Objective: To find the common ratio of a given geometric progression

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37 Series and sequences part 1 The sum to n terms of an A.P. Info Go

Objective: To find the sum of n terms of an arithmetic progression given the first three terms

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36 Series and sequences part 1 Arithmetic Means Info Go

Objective: To find the arithmetic mean of two values

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35 Series and sequences part 1 Given two terms of A.P. find the sequence Info Go

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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34 Series and sequences part 1 Finding the position of a term in an A.P. Info Go

Objective: To find the position of a term in a sequence, given an arithmetic progression and a value term

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33 Series and sequences part 1 The Arithmetic Progression Info Go

Objective: To find the common difference of a given arithmetic progression

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32 Series and sequences part 1 Finding Tn Given Sn Info Go

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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31 Series and sequences part 1 General Sequences Info Go

Objective: To use the general form of the n'th term of a sequence to find the first 3 terms

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

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

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

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

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

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

Objective: To solve quadratic equations by completing the square

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26 Algebra - Quadratic equations Completing the square Info Go

Objective: To complete an incomplete square

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

Objective: To solve quadratic equations requiring factorisation

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

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22 Algebra - Products and factors Simplifying algebraic fractions Info Go

Objective: To simplify algebraic fractions by factorisation and cancellation

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Objective: To factorise differences of two squares

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13 Algebra - Products and factors Factors by Grouping Info Go

Objective: To factorise a four-term expression by grouping

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12 Algebra - Products and factors Highest Common Factor Info Go

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

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11 Algebra - Products and factors Larger Expansions Info Go

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

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

Objective: To simplify algebraic expressions containing binomial products

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

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

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

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

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

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

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

Objective: To expand and simplify nonmonic binomial products

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

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

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4 Algebra - Products and factors Binomial Products Info Go

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

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3 Absolute value Solving Absolute Value Equations Info Go

Objective: To solve equations involving absolute values

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2 Absolute value Evaluating Absolute Value Expressions Info Go

Objective: To evaluate numeric and algebraic expressions involving absolute value

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1 Self Assessment Self Assessment - Grade 11 - ACT Intermediate Algebra & Coordinate Geometry Entrance Exam Info Go

Objective: Assessment

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