Year 11 Algebra Edify Mathematics Workbook Series

Description

Available from Term 1 2024

The Edify Year 11 Workbook series is written for Level 6 Mathematics and Statistics in the New Zealand Curriculum. It adheres to the new approach from the Ministry of Education, where the pendulum has swung back towards the importance of students learning from the whole curriculum rather than cherry-picking a few Achievement Standards. These workbooks are composed of complementary units that, when used together, provide a complete solution for students and teachers.

There are 5 workbooks in this series, to correlate to the five curriculum strands: Number, Algebra, Geometry, Measurement, and Statistics and Probability.

These workbooks can be used alongside the other elements of the Edify Year 11 Mathematics package:

- Additional student resources, such as spreadsheets and data sets available at edify.co.nz.

There is extensive space for students to write answers, including working. The tasks are graded in order of difficulty, and applications are set in a contemporary New Zealand context.

All five workbooks offer comprehensive coverage of the updated curriculum, with plenty of material for the externally assessed achievement standards, plus more open-ended tasks that can be used to prepare for the internally assessed components of NCEA.

The workbooks can be used for a combination of work in class and tasks covered in the students' own time. They feature in-depth explanations, worked examples and questions that are carefully graded in difficulty. All five workbooks include revision sections on skills, practice assessments and investigations.

Table of contents

Year 11 Algebra Table of Contents: Preface NCEA Level 1 Mathematics and Statistics based on Level 6 of the Curriculum 1 Algebraic terms 1A Algebraic terms and substitution 1B Multiplication and division 1C Addition and subtraction of like terms 1D Powers 1E Roots 2 Expanding and factorising 2A Expansions 2B Factorisation 3 Equations 3A Simple equations 1 3B Simple equations 2 3C Equations with like terms 3D Equations involving brackets 3E Only one solution? 3F Applications of equations 4 Straight lines 4A Rules for straight lines 4B Gradient 4C y = m + c 4D Intercepts and rearrangements 4E Matching lines and rules 4F Different scales on the axes 4G More than one rule 4H Applications of linear graphs 5 Quadratic expressions 5A Expanding quadratic expressions 5B Further quadratic expansions 5C Squaring brackets 5D Priority of operations 5E Mixed simplification 5F Cubic expansions 5G Factorisation of quadratics – basic 5H Factorisation of quadratics – special cases 5I Factorisation of quadratics – advanced 5J Miscellaneous factorising 6 Algebraic fractions 6A Simplification of algebraic fractions 6B Multiplication of algebraic fractions 6C Division of algebraic fractions 6D Addition and subtraction – same denominator 6E Addition and subtraction – different denominators 6F Simplifying fractions with common factors 6G Simplifying fractions with quadratics 7 Equations involving fractions 7A Equations involving fractions 7B Equations for sums and differences of fractions 7C Applications of fraction equations 8 Inequalities 8A Inequalities 8B Inequalities on a number line 8C Solving inequations 8D Applications of inequations 8E Inequations in two dimensions 9 Quadratic equations 9A The Null Factor Law 9B Solving quadratic equations by factorising 9C Rearranging quadratic equations 9D Forming quadratic equations 9E Applications of quadratic equations 10 Parabolas 10A Rules for parabolas 10B Parabola translations 10C Parabola compression, dilation and inversion 10D Parabola equations in factored form 10E Matching parabolas with quadratic rules 10F Applications of parabolas 11 Exponential expressions 11A Exponential equations – solving for the base 11B Exponential equations – solving for the power 11C Exponential patterns – using a multiplier 11D Exponential graphs 11E Translations and reflections of exponential graphs 11F Applications of exponential graphs 12 Formulae 12A Working with formulae 12B Changing the subject of formulae 13 Simultaneous equations 13ASimultaneous equations – adding to eliminate 13B Simultaneous equations – subtracting to eliminate 13C Simultaneous equations – adjusting coefficients 13D Simultaneous equations – substitution method 13E Simultaneous equations – graphic solution 13F Applications of simultaneous equations 14 Algebraic patterns 14A Linear patterns 14B Quadratic patterns 15 Optimal solutions 15A Optimal solutions for one variable 15B Optimal solutions for two variables 16 Assorted algebra questions 16A Assorted algebra questions 17 Practice assessments 17A Practice assessment 1 17B Practice assessment 2 17C Practice assessment 3 17D Practice assessment 4 17E Practice assessment 5 17F Practice assessment 6 17G Practice assessment 7 18 Investigations 18A Island Air 18B The paediatrician’s weight chart 18C The twelve days of Christmas 18D Tower of Terror 18E Barbershop tiles 18F Two cubes of cheese 18G Square flower patterns 18H Product = sum (711) 18I Prime numbers and multiples of 12 18J Three semicircles and a circle 18K Dominos 18L Intersecting roads 18M Squares in checkerboards Answers Puzzles The used stereo Old MacDonald leaves his farm The apartment block The innkeeper’s conundrum Four hotels Edward and the coffee mugs Who goes to Mount Maunganui? Add digits and square