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#### Solving equations and simultaneous equations progression test. INCLUDES ANSWER KEY.

Here are 8 different exercises on Solving equations and simultaneous equations that can be used as a progression test ( total marks: 50) or as a practice worksheet. It includes: Simultaneous equations. Solving equations graphically and algebraically. Word problems. Simplification of expressions. Solving quadratic equations graphically and algebraically. Solving equations by trial and improvement. ANSWER KEY. I hope you find it useful. Please rate so I can improve as I go on!

#### Estimating solutions using graphs - quadratic and linear graphs

Powerpoint and matching worksheet to show how we can estimate solutions to simultaneous equation problems using graphs.

#### Constructing a parabolic curve Worksheet (with Answers)

This is a great and easy way to introduce quadratics, roots and the general quadratic formula. The worksheet consists of six different cases. To create parabolas, the same numbers have to be match up (1-1, 2-2, etc.)

Lesson includes Title, date, objective, success criteria, key words Starter Discussion task Definitions and examples Investigation tasks AfL quick fire questions AfL whiteboards Questions and solutions Accessible for lower ability and challenge high ability Plenary FUSE Please review and follow For more resources: https://www.tes.com/teaching-resources/shop/osmith25

#### Simultaneous equations graphically

Lesson includes Title, date, objective, success criteria, key words Starter Discussion task Definitions and examples AfL whiteboard Match up activity Graphs Investigation activity Accessible for lower ability and challenge high ability Plenary FUSE Please leave a review For more resources: https://www.tes.com/teaching-resources/shop/osmith25

#### Transforming graphs of a function/ Plotting transformations with Desmos/ GeoGebra

L/O: To plot and then comment on transformations of a function. Worksheet activity where students type in basic function f(x)=x squared into Desmos or GeoGebra and then do various transformations of this function. Students plot and draw what happens on the graphs and make a comment about what they find. Comment sections are scaffolded to guide pupils in describing the transformation. The worksheet is 4 sides of A4, with a gradual increase in difficulty. I have used this with high ability year 7 and 8 classes, plus high and middle ability year 9, 10 and 11 classes. Transforming function graphs (translations and reflections of non-trigonometric graphs) is grade 7 on the new GCSE 9-1 scale. As an unprotected Word document you can edit it as required.

#### 10 Junior Maths (Secondary) Worksheets (Number and Algebra)

A combination of 10 worksheets covering basic properties of numbers and algebra for junior secondary maths students. The topics covered by these worksheets are: Rates and Ratios Percentages The Arithmetic of Rational Numbers The Distributive Law Power Laws Irrational Numbers Plotting Linear Equations Solving a System of Two Linear Equations Factorisation Solving Quadratic Equations by Completing the Square These topics follow the ‘Number and Algebra’ content for the Australian Year 8 Mathematics Curriculum but may be suitable for other courses at a similar level.

6 equations for quadratic graphs. Each question involves the following: generating coordinates plotting the graph finding the coordinates of the turning point, finding the coordinates of the y intercept finding the equation of the line of symmetry finding the solution to f(x) = 0 It is scaffolded at the beginning, the final graph is a negative quadratic.

#### Solving Equations Graphically (DESMOS)

A worksheet that utilises the desmos graphing software in order to save time when solving equations graphically. The first section gets the students used to plotting graphs on desmos before getting them to solve equations using it.

A set of eleven lessons covering quadratic equations: Solving quadratic equations using graphs Factorisation (revision) Solving quadratic equations algebraically Solving quadratic equations using factorisation Parabolas Problem Solving Intersection of a line and a parabola Quadratic Formula (8a and 8b problem solving involving the quadratic formula) Discriminant The lessons can be used for whole class work, revision, help for parents or opportunities for pupils to catch up with missed work.

#### SK18Maths - Recognising graphs - Matching Task - Exponential Cubic Quadratic Linear Reciprocal

This is a matching task on recognising types of graphs, their coordinates and their equations. There are blank tables in the actual task that cause pupils to substitute in values and the recognise the graph from the coordinates. The solutions are provided, witht he answers highlighted pink if they needed to be fill in by pupils.

#### LESSON: GCSE Linear Graphs y=mx+c +TEST

A pack for an entire lesson of differentiated straight line linear graphs worksheets aimed at KS3-KS4.

Lessons on: Factorising quadratics Factorising to solve quadratics Factorising and solving quadrtaics with higher coefficients of x squared Using the quadratic formula Completing the square Deciding which method to use to solve a quadratic.

#### Algebra for Everyone KS3 4 mathematics

Algebra for Everyone Algebra for Everyone is a 67 page booklet (including answers), written in clear, easy to understand English and makes no assumptions about your prior mathematical knowledge (apart from being able to +, -, x, ÷). We begin with very basic (but key) algebraic skills which are practiced and extended through supportive questions. As you work through the book, the material gently introduces more thought-provoking ideas. As the title suggests, this book has been written for lots of people: • Year 6 pupils who have a good understanding of number will find the early chapters useful – particularly with the onset of secondary school. • Key Stage 3 pupils at secondary school who meet significantly more algebra. • GCSE pupils who want to achieve at least grade 4 • Parents who wish to support their children who may feel less confident with algebra.

#### Ultimate Maths Revision for Foundation and Higher

This is an ultimate revision guide for Maths covering Foundation and Higher topics. Use this powerpoint to get yourself ready for the exams.

#### Miscellaneous 5

A mixed pack of resources - for half price!

#### Miscellaneous 3

A mixed pack of resources - for half price!

#### Intro to Geogebra - drawing graphs

This worksheet is for a year 8 class to work through on the computer - using Geogebra for the first time. Only basic functions of Geogebra are used (plotting equation, adding sliders, finding intersections) while they explore the shapes of graphs.

#### Nth Term Worksheet Generator

Gives you randomised questions which gradually get more challenging when ever you need them. Brand new work sheet every time.

This Quadratics revision bundle contains: Sketching a quadratic function given its general equation, factorised form or completed square form. Drill questions. Crosswords. A list of unitary factors.

#### Progression test for Year 8. Includes Answer Key.

This is a progression test with 8 different exercises of chapters: Areas of triangles and Parallelograms Formulas Reflections, Translations and Rotations Linear Equations Straight Line Graphs Curved Graphs I hope you find it useful. Please rate so I can improve as I go on!

#### Completing the square with solving

I used this lesson with a top set year 10 class. It could be used with a KS4 class or possibly even year 9. You could use this as a stand alone lesson on completing the square or like I have to find the turning point, as part of a series of lessons on quadratic graphs. I have included step by step examples and answers for all questions. I hope you find it useful.

#### Straight line and curved graphs exercises. With Answer Key.

This worksheet contains 10 exercises to practise straight line graphs and curved graphs. It is a complete revision where students will have to: Complete tables. Draw graphs. Use their graphs to find information. Draw and use conversion graphs. Given a graph, calculate the gradient, the y-intercept, the equation of the line… Given an equation find the equation of the line parallel or perpendicular to it that passes through a given point. Use their graphs to solve equations. Solve simultaneous equations by drawing the graphs. Identify which equation represents each graph. It also includes all the answers to the exercises. I hope you find it useful! Please rate so I can improve as I go on!

Grid giving students different representations of a quadratic equation. Students must then find the missing information. Sheet includes: expanding quadratics factorising quadratics solving using quadratic formula finding x and y intercepts completing the square finding turning points sketching quadratic graphs

#### Graphs revision. Straight line, quadratic, cubic and reciprocal graphs. Includes Answer key.

This revision worksheet includes 4 exercises, with several parts, and answer key to revise: Straight line graphs. Quadratic graphs. Cubic graphs. Reciprocal graphs. Students will have to find some information from the given equations, complete tables, name the curve, draw graphs, or solve other equations with the graph. Please rate so I can improve as I go on!

#### Completing the Square Lesson

Lesson on Completing the Square - taught to Year 9 set 2. Suitable for KS3/4. Thoroughly differentiated resource catering to all abilities! Starter: Solving quadratics by factorisation and the formula Intro: Examples including an exam question Differentiated Task -R/A/G Solutions Minimum Points Whole Class activity (MWB’s) Examples and method when the leading co-efficient is not 1 Differentiated Task -R/A/G Solutions SMART Notebook files but can be converted to ActivInspire etc. Used in my PGCE year, fantastic resource! No worksheets needed. if I have missed anything off please let me know :) Sorry if any resources used without permission, I gathered bits along the way. xx

#### Solving Quadratic Equations - Factorising, Formula and Completing the Square

Complete package of lessons for Solving Quadratic Equations! Taught to Year 9 Set 2. Suitable for KS3/4. Thoroughly differentiated resource catering to all abilities! Lesson 1. Factorising Quadratics (can be used for solving) Lesson 2. Solving using the quadratic formula (including representing on a graph) Lesson 3. Solving using completing the square (including minimum points and when the leading co-efficient is not 1) Starters, examples, plenty of differentiation throughout, stretch &amp; challenge including problem solving and reasoning, plenaries (such as spot the mistake) and AFL using R/A/G questioning. SMART Notebook files but can be converted to ActivInspire etc. Used in my PGCE year, fantastic resources all at Outstanding or Good level! Worksheets included, if I have missed anything off please let me know :) Sorry if any resources are used, I have just gathered bits along the way to add to my work.

#### Algebra Bundle

Activ Inspire presentations on all things algebra from solving equations to straight line graphs, iterations and more!! Check it out FREE presentations also available in my shop If you like the slides please check out all of my other slides which are ALL in the same format. Saving you an incredible amount of time and energy! I’ve done all the hard work so that you don’t have to.

Activ inspire presentations on everything quadratics, solving quadratics by factorising, completing the square and using the formula. Also, drawing quadratics and solving them graphically. 3 examples of the slides attached If you like the slides please check out all of my other slides which are ALL in the same format. Saving you an incredible amount of time and energy! I’ve done all the hard work so that you don’t have to.

#### Simultaneous Equation

Fully detailed lesson plan on Simultaneous equation with lesson plan, task, starter, main, activities, assessment, extension and plenary. It is a fun and engaging lesson plan to engage students with Simultaneous equation perfect for secondary school students.

#### Algebra: Sequences / Series BIG BUNDLE (10 lessons) inc. loads of resources

This is a big bundle on sequences that includes everything needed for your GCSE classes and AS Level work on arithmetic and geometric series. 1. Introduction to Linear Sequences 2. Linear Sequences in Diagrams/Patterns 3. Quadratic Sequences 4. Cubic, Exponential and Other sequences 5. Fibonacci Sequence / Golden ratio and Spiral 6. Arithmetic Series 7. Sum of Arithmetic Series 8. Geometric Series 9. Sum of Geometric Series 10. Sum of infinite Series This is also available as a GCSE bundle only if that is your preference. NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!

#### Codebreaker Bundle - February 2018

Twenty two codebreakers on various topics including bearings, similarity, scale drawing, simultaneous equations (linear/quadratic), circles, angles, transforming functions, metric units, Pythagoras and trigonometry and 3D views. The usual format of correct answers revealing the punchline to a cheesy joke.