Lesson 9 for the Working with Functions topic Ready to use! This is a full lesson on the dot point for the point-gradient formula in the Mathematics Advanced new syllabus for NSW Australia. This lesson also covers parallel and perpendicular lines. Included in this resource is: teacher notes (learning outcome, success criteria, course notes, examples) (perfect as a hand out for your class or even to leave with a casual teacher) teacher fully worked solutions worksheet for students (questions include rearranging from y=mx+c form to general form, does the point lie on the line, using point-gradient formula, using the formula given a parallel line, using the formula given a perpendicular line). full solutions for the worksheet (perfect to post to Google Classroom)

This resource covers all lessons for the new curriculum Stage 4 Mathematics Algebraic Techniques. 14 Lessons: Expressions, pronumerals and variables Algebraic notation and conventions Translating between words and algebra Substitution and evaluation Finding the rule from a table of values Las of algebra and expanding brackets The distributive law Collecting like terms Simplifying algebraic expressions Simplifying expressions with mixed operations Factors of a single term Factorising part 1 Factorising part 2 Extension Included in this package: Full lessons in Powerpoint (140 slides) (learning outcomes, success criteria, quick questions, NAPLAN style questions, and every dot point covered). Worksheet for every lesson Answers for every worksheet 2 casual teacher lessons Topic test

Ready to print! Lesson 5 Following the new curriculum for NSW Australia Mathematics Advanced for Year 11 and Year 12 students preparing for their HSC. This is a full lesson for an introduction to functions and relations. It covers dot points 1-7 under “Introduction to Functions and Relations” in the Working with Functions topic: understanding and describing a relation and a function introduction to function notation substitution using function notation finding x and y intercepts in function notation applying the vertical line test This lesson includes: teacher copy of the full lesson (this can be printed for your students) solutions for the teacher copy - perfect for leaving with a casual worksheet worksheet solutions

Ready to use! This resource is the full unit of work for Fractions, Decimals and Percentages at the stage 4 (year 7/year 8) level. It covers every dot point from the new curriculum (NSW Australia). It includes: Powerpoint presentation of lessons (233 slides) (learning outcomes, success criteria, quick questions, notes, examples, NAPLAN style questions, extension) Worksheet for every lesson Worksheet answers 2 casual teacher lessons Topic test and answers extension investigation (with teacher answers) 21 lessons are as follows: equivalent fractions highest common factor simplifying fractions order and compare fractions rounding decimals terminating and recurring decimals converting between fractions and percentages converting between FDP converting between mixed fractions, improper fractions and decimals representing terminating decimals as fractions and percentages irrational numbers order and compare FDP adding and subtracting fractions multiplying and dividing fractions and decimals representing quantities as FDP percentage increase and decrease percentage increase and decrease (using multipliers) profit, loss and percentage profit/loss unitary method goods and services tax extension

Ready to use! This is a full unit of Rates and Ratios for stage 4 level Mathematics (year 7 and year 8). This unit includes: Powerpoint presentation of all lessons (116 slides) (learning outcomes, success criteria, quick questions, notes, examples, NAPLAN style questions, extension questions) Worksheet for each lesson Worksheet answers Topic test with answers 2 casual teacher lessons Lessons include: ratios and unit conversions simplifying ratios the unitary method dividing a quantity into a given ratio simplifying rates converting units of rates best buys drawing distance-time graphs extension

Ready to print! lesson 3 Year 11 and Year 12 Mathematics Advanced NSW Australia new curriculum Working with Functions topic This is a full lesson for the dot point Expanding and simplifying expressions involving surds. Lesson includes learning outcomes success criteria main idea examples (both teacher driven and student driven) HSC style problem Worksheet with 31 questions Fully worked solutions

Ready to print! Lesson 4 Year 11 and Year 12 Mathematics Advanced NSW Australia new curriculum Working with Functions topic This is a full lesson for the dot point identify the conjugate and rationalise the denominator of expressions. Lesson includes learning outcomes success criteria main idea examples (both teacher driven and student driven) HSC style problem Worksheet with 36 questions Fully worked solutions Also attached is the full teacher working - perfect to leave for casual lessons!

Ready to print! Original HSC style questions for Australian Curriculum Year 11/Year 12 Mathematics Advanced topic Working with Functions (Algebraic Techniques sold as a separate file). Solutions and Marking Criteria included in each set. 10 questions including a mixture of the following: *Defining a function Using f(x) notation Defining the domain and range of f(x) for linear, quadratic, cubic, hyperbolic, exponential, circle, semicircle, absolute value and piecewise functions. Point-gradient formula Two-point formula Quadratics - find intercepts, axis of symmetry and vertex. Find the equation given the graph. Graph an equation. Cubics - determine the equation of the form kx^3 and k(x+a)(x+b)(x+c). Graphing cubics. Direct/Indirect variation Solve inequalities Circles - graphing, determine the equation (including completing the square to find centre and radius), identify and graph semicircles Determine even/odd algebraically Composite functions Interpreting and graphing piecewise functions Absolute value functions (graphing, solving equations)

Ready to print! Original HSC style questions for Australian Curriculum Year 11/Year 12 Mathematics Advanced topic Working with Functions (Algebraic Techniques sold as a separate file). Solutions and Marking Criteria included in each set. 10 questions including a mixture of the following: *Defining a function Using f(x) notation Defining the domain and range of f(x) for linear, quadratic, cubic, hyperbolic, exponential, circle, semicircle, absolute value and piecewise functions. Point-gradient formula Two-point formula Quadratics - find intercepts, axis of symmetry and vertex. Find the equation given the graph. Graph an equation. Cubics - determine the equation of the form kx^3 and k(x+a)(x+b)(x+c). Graphing cubics. Direct/Indirect variation Solve inequalities Circles - graphing, determine the equation (including completing the square to find centre and radius), identify and graph semicircles Determine even/odd algebraically Composite functions Interpreting and graphing piecewise functions Absolute value functions (graphing, solving equations)

Ready to print! Original HSC style questions for Australian Curriculum Year 11/Year 12 Mathematics Advanced topic Working with Functions (Algebraic Techniques sold as a separate file). Solutions and Marking Criteria included in each set. 10 questions including a mixture of the following: *Defining a function Using f(x) notation Defining the domain and range of f(x) for linear, quadratic, cubic, hyperbolic, exponential, circle, semicircle, absolute value and piecewise functions. Point-gradient formula Two-point formula Quadratics - find intercepts, axis of symmetry and vertex. Find the equation given the graph. Graph an equation. Cubics - determine the equation of the form kx^3 and k(x+a)(x+b)(x+c). Graphing cubics. Direct/Indirect variation Solve inequalities Circles - graphing, determine the equation (including completing the square to find centre and radius), identify and graph semicircles Determine even/odd algebraically Composite functions Interpreting and graphing piecewise functions Absolute value functions (graphing, solving equations)

Ready to print! Original HSC style questions for Australian Curriculum Year 11/Year 12 Mathematics Advanced topic Working with Functions (Algebraic Techniques sold as a separate file). Solutions and Marking Criteria included in each set. 10 questions including a mixture of the following: *Defining a function Using f(x) notation Defining the domain and range of f(x) for linear, quadratic, cubic, hyperbolic, exponential, circle, semicircle, absolute value and piecewise functions. Point-gradient formula Two-point formula Quadratics - find intercepts, axis of symmetry and vertex. Find the equation given the graph. Graph an equation. Cubics - determine the equation of the form kx^3 and k(x+a)(x+b)(x+c). Graphing cubics. Direct/Indirect variation Solve inequalities Circles - graphing, determine the equation (including completing the square to find centre and radius), identify and graph semicircles Determine even/odd algebraically Composite functions Interpreting and graphing piecewise functions Absolute value functions (graphing, solving equations)

Ready to print! Original HSC style questions for Australian Curriculum Year 11/Year 12 Mathematics Advanced topic Working with Functions (Algebraic Techniques sold as a separate file). Solutions and Marking Criteria included in each set. 10 questions including a mixture of the following: *Defining a function Using f(x) notation Defining the domain and range of f(x) for linear, quadratic, cubic, hyperbolic, exponential, circle, semicircle, absolute value and piecewise functions. Point-gradient formula Two-point formula Quadratics - find intercepts, axis of symmetry and vertex. Find the equation given the graph. Graph an equation. Cubics - determine the equation of the form kx^3 and k(x+a)(x+b)(x+c). Graphing cubics. Direct/Indirect variation Solve inequalities Circles - graphing, determine the equation (including completing the square to find centre and radius), identify and graph semicircles Determine even/odd algebraically Composite functions Interpreting and graphing piecewise functions Absolute value functions (graphing, solving equations)

Ready to print! Original HSC style questions for Australian Curriculum Year 11/Year 12 Mathematics Advanced topic Working with Functions (Algebraic Techniques sold as a separate file). Solutions and Marking Criteria included in each set. 10 questions including a mixture of the following: *Defining a function Using f(x) notation Defining the domain and range of f(x) for linear, quadratic, cubic, hyperbolic, exponential, circle, semicircle, absolute value and piecewise functions. Point-gradient formula Two-point formula Quadratics - find intercepts, axis of symmetry and vertex. Find the equation given the graph. Graph an equation. Cubics - determine the equation of the form kx^3 and k(x+a)(x+b)(x+c). Graphing cubics. Direct/Indirect variation Solve inequalities Circles - graphing, determine the equation (including completing the square to find centre and radius), identify and graph semicircles Determine even/odd algebraically Composite functions Interpreting and graphing piecewise functions Absolute value functions (graphing, solving equations)

Ready to print! Original HSC style questions for Australian Curriculum Year 11/Year 12 Mathematics Advanced topic Working with Functions (Algebraic Techniques sold as a separate file). Solutions and Marking Criteria included in each set. 10 questions including a mixture of the following: *Defining a function Using f(x) notation Defining the domain and range of f(x) for linear, quadratic, cubic, hyperbolic, exponential, circle, semicircle, absolute value and piecewise functions. Point-gradient formula Two-point formula Quadratics - find intercepts, axis of symmetry and vertex. Find the equation given the graph. Graph an equation. Cubics - determine the equation of the form kx^3 and k(x+a)(x+b)(x+c). Graphing cubics. Direct/Indirect variation Solve inequalities Circles - graphing, determine the equation (including completing the square to find centre and radius), identify and graph semicircles Determine even/odd algebraically Composite functions Interpreting and graphing piecewise functions Absolute value functions (graphing, solving equations)

Ready to print! Original HSC style questions for Australian Curriculum Year 11/Year 12 Mathematics Advanced topic Working with Functions (Algebraic Techniques sold as a separate file). Solutions and Marking Criteria included in each set. 8 sets of 10 questions including a mixture of the following: *Defining a function Using f(x) notation Defining the domain and range of f(x) for linear, quadratic, cubic, hyperbolic, exponential, circle, semicircle, absolute value and piecewise functions. Point-gradient formula Two-point formula Quadratics - find intercepts, axis of symmetry and vertex. Find the equation given the graph. Graph an equation. Cubics - determine the equation of the form kx^3 and k(x+a)(x+b)(x+c). Graphing cubics. Direct/Indirect variation Solve inequalities Circles - graphing, determine the equation (including completing the square to find centre and radius), identify and graph semicircles Determine even/odd algebraically Composite functions Interpreting and graphing piecewise functions Absolute value functions (graphing, solving equations)

Ready to print! Original HSC Practice Questions for Australian Curriculum Year 11/Year 12. Mathematics Advanced topic Trigonometric Identities and Equations. 3 sets of ten questions with solutions and marking criteria. Sets include a mixture of the following dot points: Find exact secant, cosecant and cotangent ratios for special triangles Using identities tan= sin/cos and cot = cos/sin to solve problems Complementary angles Evaluate trig expressions using angles of any magnitude Solving problems with answers in degrees and in radians Using the three Pythagorean identities Solve problems involving trigonometric equations on a restricted domain

Australian Curriculum (NSW) Year 11/Year 12 Mathematics Advanced Course Unit: Algebraic Techniques (Sub Topic of ‘Working with Functions’). This resource contains 5 practice sets of 9-10 questions each. The questions cover a range of dot points from the Algebraic Techniques syllabus, including: use index laws to simplify expressions expand, factorise and simplify algebraic expressions simplify expressions involving algebraic fractions simplify expressions involving surds rationalising the denominator solve quadratic equations by factorisation, completing the square and using the quadratic formula using the discriminant to solve problems Each practice set comes with fully worked solutions and marking criteria. Resources are ready to print for your class, or can be used on assessment tasks. All written by HSC Easy Tutors (NSW Maths Teachers).

Ready to print! Original HSC style questions for Australian Curriculum Year 11/Year 12 Mathematics Advanced topic Working with Functions (Algebraic Techniques sold as a separate file). Solutions and Marking Criteria included in each set. 10 questions including a mixture of the following: *Defining a function Using f(x) notation Defining the domain and range of f(x) for linear, quadratic, cubic, hyperbolic, exponential, circle, semicircle, absolute value and piecewise functions. Point-gradient formula Two-point formula Quadratics - find intercepts, axis of symmetry and vertex. Find the equation given the graph. Graph an equation. Cubics - determine the equation of the form kx^3 and k(x+a)(x+b)(x+c). Graphing cubics. Direct/Indirect variation Solve inequalities Circles - graphing, determine the equation (including completing the square to find centre and radius), identify and graph semicircles Determine even/odd algebraically Composite functions Interpreting and graphing piecewise functions Absolute value functions (graphing, solving equations)