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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.

#### Calculus: Optimisation

The presentation begins with a review of quadratics and presents students with an optimisation question which they are expected to solve using quadratics. The concept of optimisation is then explored in more detail by asking students to find the maximum volume that can be made from a 12cm x 12cm square (in the context of for instance minimising production costs). This site provides a useful platform through which to launch into a discussion about finding the maximum volume. There are then a selection of questions which I printed out and placed around the room for students to tackle, in pairs. For the plenary, the students are presented with a similar (but note not identical) problem to the one at the start of the lesson and are asked to solve using calculus before checking their answer using quadratics. Please Review

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.

#### Graphing Quadratic Inequalities Color by Number

With this activity, students will match quadratic inequalities with the correct graph. Then they will color the picture using their answer and the indicated color to reveal a beautiful, colorful mandala! As an added bonus, the final products make fabulous classroom decor! This activity is an excellent resource for sub plans, enrichment/reinforcement, early finishers, and extra practice with some fun. It is especially useful for end-of-year practice, spiral review, and motivated practice when students are exhausted from standardized testing or mentally “checked out” before a long break (hello summer!). Teachers and students alike enjoy motivating activities, so engage your students today with these fun coloring activities!

#### Quadratic Equations With Square Roots Color by Number

With this activity, students will solve quadratic equations by finding square roots. Then they will color the picture using the positive root and the indicated color to reveal a beautiful, colorful mandala! As an added bonus, the final products make fabulous classroom decor! This activity is an excellent resource for sub plans, enrichment/reinforcement, early finishers, and extra practice with some fun. It is especially useful for end-of-year practice, spiral review, and motivated practice when students are exhausted from standardized testing or mentally “checked out” before a long break (hello summer!). Teachers and students alike enjoy motivating activities, so engage your students today with these fun coloring activities!

#### Completing the Square Color by Number

With this activity, students will find the missing value of c that completes the square. Then they will color the picture using their answer and the indicated color to reveal a beautiful, colorful mandala! As an added bonus, the final products make fabulous classroom decor! This activity is an excellent resource for sub plans, enrichment/reinforcement, early finishers, and extra practice with some fun. It is especially useful for end-of-year practice, spiral review, and motivated practice when students are exhausted from standardized testing or mentally “checked out” before a long break (hello summer!). Teachers and students alike enjoy motivating activities, so engage your students today with these fun coloring activities!

#### Solving Quadratic Equations by Completing the Square Color by Number

With this activity, students will solve quadratic equations by completing the square. Then they will color the picture using their answer and the indicated color to reveal a beautiful, colorful mandala! As an added bonus, the final products make fabulous classroom decor! This activity is an excellent resource for sub plans, enrichment/reinforcement, early finishers, and extra practice with some fun. It is especially useful for end-of-year practice, spiral review, and motivated practice when students are exhausted from standardized testing or mentally “checked out” before a long break (hello summer!). Teachers and students alike enjoy motivating activities, so engage your students today with these fun coloring activities!

#### 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.

One of a set of eleven lessons covering quadratic equations. The file can be used on its own to introduce and provide practice examples or used to provide 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.

#### Algebra: Integration BUNDLE (5 Lessons) + Resources

This is a superb 5 lessons to teach all the different aspects of AS Level Integration. The 5 lessons are as follows: Integration 1 - An Introduction Integration 2 - Finding an Area Integration 3 - Area Problems Integration 4 - Areas bound by the y-axis Integration 5 - Trapezium Rule For further details for each individual lesson then do view each lesson individually. However, all lessons come with starters, differentiated learning objectives, key words, excellent teaching slides and examples, worksheets and exam questions with answers and plenaries. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thank you!

#### 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!

#### Completing the square (differentiated)

Completing the square to calculate turning points - this is differentiated by Assessment Objective. Answers are included. Any feedback is welcome.

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

#### Algebra: Integration 3 - Area Problems (+ worksheet)

This is the third lesson that I teach on integration and follows on from the second lesson beginning to look at using integration to solve area questions. This lesson looks at area problems and more complex examples that are the type of questions that get asked in exams. 17 slides + a great practise worksheet with answers. The lesson includes: Starter - a quick question on integrating with bounds to focus students on integrating skills again Learning Objectives - differentiated by outcome Key Notation - explanation and detail given as this is often an area of confusion Teaching slides showing the process and some of the problems that come with area problems. How to find the bounds and issues when questions do not involve an area bound by the x-axis. It comes with several excellent examples and teaching slides. AFL questions and activities for students to check understanding An excellent worksheet with ANSWERS. Plenary - a quick review and feedback on learning during the lesson before going further into more areas of integration. NOTE: Feel free to browse my shop for more excellent free and premium lessons and as always please RATE and FEEDBACK, thank you!

#### Algebra: Integration 2 - Finding an Area (+ worksheet)

This is the second lesson that I teach on integration and follows on from the introductory lesson. It does practise basic integration, but now puts it into the context of finding the originial equation and mainly finding an area under a curve. 25 slides + a great practise worksheet with answers. The lesson includes: Starter - a quick question on area to get students occupied as they come in and thinking Learning Objectives - differentiated by outcome Key Notation - explanation and detail given as this is often an area of confusion Teaching slides showing the process of integrating and substituting to find an original equation and some superb graphics and slides to teach about the area under the curve. It comes with lots of examples. AFL questions and activities for students to check understanding An excellent worksheet with ANSWERS. Added a fair simpler worksheet for the less able or to set for homework as practise of the basics. Also a handout to remind pupils of some of the index rules they might encounter Plenary - a quick review and feedback on learning during the lesson before going further into more complex area problems involving integration. NOTE: Feel free to browse my shop for more excellent free and premium lessons and as always please RATE and FEEDBACK, thank you!

#### 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!