#### Indices worksheet no 3 (with solutions)

A worksheet on simplifying expressions with indices. A practice on laws of indices, negative and fractional indices. Good for GCSE/IGCSE students. Detailed solutions are included.

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Algebra teaching resources from Tes will help bring your primary maths lessons to life. Our unrivalled range of classroom materials and ideas includes:

- Algebra worksheets

- Algebra puzzles, games and other algebra teaching resources.

Whatever you need, you're sure to find it amongst thousands of free and premium teaching materials ready for you to download and use.

A worksheet on simplifying expressions with indices. A practice on laws of indices, negative and fractional indices. Good for GCSE/IGCSE students. Detailed solutions are included.

Grade 9 hard question
2 papers: Calculator and Non calculator (around 20 questions each)
Including video answers

A great bundle.
Please check my shop for individual details.

[Needs ActivInspire software, does not work in powerpoint]
This interactive quiz is full of all sorts of Mathematical puzzles and problems to solve, including algebra, number, geometry, ratio and estimation.
They start easy and get more challenging, use the simplify buttons if you need to make the questions more accessible.
Print and copy the embedded quiz sheet and put your class into teams. All answers are included at the end of the quiz. There are 12 questions and a Tie Breaker. There are some excellent bonus games on the last slides.

Three worksheets on rearranging formulae to change the subject. Detailed solutions are provided. Good for GCSE/IGCSE students.

A worksheet on rearranging a formula to change the subject. Detailed solutions are included. Good for GCSE/IGCSE students.

A worksheet on simplifying expressions with indices. A practice on laws of indices, negative and fractional indices. Good for GCSE/IGCSE students. Detailed solutions are included.

Quadratics: What do you know about this quadratic?
Students are given a quadratic equation and asked to work out:
its factors
where it crosses the axes
what its graph would look like
what it would be in completed square format
where its minimum point is
They are then given three other quadratics to work on, but are provided with different starting information - i.e., if they have the graph, can they work out the factors?
Updated May 2018
Now with 2 additional bonus activities:
Properties of Quadratic Graphs Worksheets
Students have to identify the roots, turning point, y intercept and line of symmetry from a graph or function.
Recognising Quadratic Graphs Activity
Students have to match quadratic graphs to their functions by considering roots, y -intercepts and whether the co-efficient of x^2 is positive or negative.
All activities include answers.

Algebra Substitution Bundle
All answers are included.
If bought independently, these 3 resources would cost £8.00, but I am offering them in this bundle for £6.50, a saving of 19%.
To view items individually, please go to Maths Shop

Three worksheets on on expanding and simplifying algebraic expressions by multiplying out brackets and collecting like terms. Good for GCSE/IGCSE students. Detailed solutions are provided.

Please find within this download:
A detailed and engaging PowerPoint, Differentiated (SEN, LA, MA, HA & Mastery) Worksheet with Answer Sheet for a complete lesson on this National Curriculum Statement.
The PowerPoint has the following features:
→ Differentiated starter activity
→ Extremely logical and simplistic explanations with animated examples and pictures to aid learning
→ Careful step by step guidance that can be moved forwards and backwards through easily
→ Many opportunities for AfL embedded within the lesson
→ Plenary activity to finish the session
The Word document has the following features:
→ Differentiated activities on one sheet from SEN, LA, MA, HA and Mastery Challenge
→ Coloured activity boxes to help you quickly assign tasks to children
→ Learning objective and short date (which automatically updates to the day you open the document)
→ Differentiated success criteria that link with the PowerPoint
→ Answer sheet included
Explore our other Algebra Lessons:

A worksheet on expanding and simplifying algebraic expressions by multiplying out brackets and collecting like terms including harder questions on this topic. Good for GCSE/IGCSE students. Detailed solutions are provided.

Adapted resource from @danwalker (https://www.tes.com/teaching-resource/algebra-cluedo-6339269)
Questions on Mixed topics in maths.

A STEM learning and teaching resource that explores a variety of magical maths activities, from multiplication tips to card tricks.
Activities include:
Mind reading - Did you know that maths can help you to ‘read minds’?
Card magic
Magic hands - Did you know you can use your fingers as a magic ‘short cut’ to multiplication?
Magic multiplications

A series of worksheets on Linear equations.
Bank A - Positive integer solutions
Bank B - Positive and negative integer solutions
Bank C - Positive and negative fractional solutions.
Worksheets are designed to allow students to develop their retention of the topic. Could be used as starters, main activity, homeworks or revision.

Worksheet for use with KS3/4 and high achieving KS2 mathematicians. Strong element of fluency throughout the questions. Can be used as a full series of problems or could be differentiated by each row.

These carefully selected compilations of exam questions have fully-worked solutions designed for students to go through at home, saving valuable time in class.
Click 👉 tes.com/…/Exam Question Bundles… to download the other four bundles.<hr>I usually print these questions as an A5 booklet and issue them in class or give them out as a homework. I also make them available for a student who wants to do focused independent study on a topic.<hr>👍If you like this resource, then please rate it and/or leave a comment💬.
If the rate-resource button on this page doesn’t work, then go to your ratings page by clicking 👉 www.tes.com/…/rate-resources…

These carefully selected compilations of exam questions have fully-worked solutions designed for students to go through at home, saving valuable time in class.
Click 👉 tes.com/…/Exam Question Bundles… to download the other four bundles.<hr>I usually print these questions as an A5 booklet and issue them in class or give them out as a homework. I also make them available for a student who wants to do focused independent study on a topic.<hr>👍If you like this resource, then please rate it and/or leave a comment💬.
If the rate-resource button on this page doesn’t work, then go to your ratings page by clicking 👉 www.tes.com/…/rate-resources…

I have gone through all the NEW edexcel papers including the Mock Sets and collated questions from the same topic and presented these on A3 sheets for easy revision most have answers for easy checking. (I promise this will save you a lot of time - as this took me hours!!)

I have gone through all the NEW edexcel papers including the Mock Sets and collated questions from the same topic and presented these on A3 sheets for easy revision most have answers for easy checking. (I promise this will save you a lot of time - as this took me hours!!)

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

Students are provided with structure to facilitate plotting straight line graphs of implicit equations.
The worksheet is split into two sections, progressing in difficulty, and each has an extension section. For very able students a further extension could be to find the points of intersection without having to plot the lines, although it is generally beneficial for their understanding to have a visual representation available as well. Answers are provided, including the plotted straight lines.
The focus of this lesson could be any of the following:
– Plotting straight line graphs;
– Rearranging equations;
– Simultaneous equations;
– Intersection of straight lines;
– What it means to ‘satisfy’ an equation;
– Implicit vs explicit equations.
As you can see, many concepts are touched upon here, and you will need to decide which angle you are approaching this activity from to ensure that the lesson is coherent.
Also included is a basic starter to give practise rearranging to change the subject of an equation.

A well designed presentation to make clear how to solve quadratic equations. There are different type of examples that use different type of solutions such as:
1. Factorizing method,
2. Common factor,
3. Quadratic formula.
Also this resource includes a worksheet with** 50 questions and all with solutions **that will make sure the students understood how to solve the quadratic equations.
Please feel free to make a command on this resource.

Explanation plus 4 scaffolded questions for how to find the nth term of a quadratic sequence. Answers on separate PDF.

Expand and simplify by collecting like terms.
They should match the expression to find a letter and crack the code. Used as a starter in a revision class. For weaker groups this activity could take all lesson

Two Power Point presentations, a number line worksheet and a set of GCSE exam questions for solving inequalities, representing on a numberline and greatest/smallest integer possible. Enjoy!

Complete set of GCSE 9-1 Foundation resources covering almost all topics -.
Lots for pupils to revision from and lots of Practice with questions specific to the new specification.

SALE

I have gone through all the NEW edexcel papers including the Mock Sets and collated questions from the same topic and presented these on A3 sheets for easy revision most have answers for easy checking. (I promise this will save you a lot of time - as this took me hours!!)
I have tried them out with a low ability group and they love them as they really feel like they are getting used to the papers without having to do the same paper over and over again.
Great for last minute revision and masterclasses .
Topics I have included:
Proportion,
Types of number,
Calculator Skills,
Ordering Fractions,
Mean from a table
Pie Charts,
Graphs,
Angles ,
transformations,
Construction and Loci,
Standard Form
Area and Perimeter,
Probability,
Tree Diagrams,
Estimation,
Wordy Problems,
Trig and Pythag,
and a general revision sheets labelled the final countdown aimed at the first NON CALC exam.
Please leave feedback :)

SALE

I have gone through all the NEW edexcel papers including the Mock Sets and collated questions from the same topic and presented these on A3 sheets for easy revision most have answers for easy checking. (I promise this will save you a lot of time - as this took me hours!!)

This resources helps pupils revise forming an equation of a line from its graph.
The pupils then match the question number to the answer which gives them a letter to decode the longest Mathematical word. FLOCCINAUCINIHILIPILIFICATION

Unit includes 9 lesson presentations (each including at least 1 worksheet), a folder of 4 homeworks and an end of unit test

Full lesson(s) on linear graphs with mastery style tasks.
Lesson(s) includes:
Examples showing different representations of linear graphs
Various fluency tasks
Higher order thinking tasks
All tasks allow for discussion and students to show their answers on the board to encourage correction of each others work.

Algebra end of unit test based on the A2 lessons
Includes simplifying, expanding, factorising, substitution, quadratics, problem solving at various difficulty levels
17 questions altogether most including sub-questions

Collection of homeworks for Algebra module
Change the subject
Factorising quadratics x 2
Substitution worksheet

Presentation includes
Warm up - enlargement using algrebraic lengths
Key words, Objectives, Outcomes
Area example
Questions (practive solving quadratics, problem solving)
Differentiated worksheets
WWW/EBI
Worksheets
Algebraic area (green)
Using quadratics (yellow)
Solving quadratics (red)

Presentation includes:
Warm up (expanding brackets)
Keywords, objectives and outcomes
Indices questions
Difference of two squares example
11 different examples increasing in difficulty
Graph to show meaning behind difference of two squares
Quick test of 5 questions
Differentiated worksheets
WWW/EBI
Worksheets
Factorising practice
Factorising mixed
Factorising higher

Presentation includes:
Warm up (multiplying using grid method) x 2
Key words, objectives & outcomes
Expanding two binomials using grid method example
Expanding two binomials using arrow method example
Questions and answers
Example with a negative (arrow and grid method)
Timed questions with negatives
Example with two negative (arrow and grid method)
Timed questions with two negatives
Examples with (x+2)(x-2) (arrow and grid method)
Timed questions
Examples where coefficient is more than 1 (arrow and grid method)
Timed questions
Differentiated questions from worksheet
WWW/EBI
Worksheet
Expanding double brackets including area problems

Presentation includes:
Warm up
Key words, objectives and outcomes
Three examples
Matching question to answer activity
Five further difficult examples
Tasks and extension
Changing the subject with factorising 2 examples
Quick check 1 questions each (green, yellow, red)
WWW/EBI
Plenary - completing sentences
Worksheet:
Changing the subject (127 varied questions) - could use for lesson or homework

Whole Lesson
Presentation includes:
Warm up
Key words, Objectives & Outcomes
Easy examples e.g. x+2
Timed (3 mins) practice (green and yellow)
Further examples e.g. 5x+3
Timed (3 mins) practice (yellow and red)
Worksheet differentiated questions
WWW/EBI
Plenary (area of a trapezium)
Worksheets include
Substitution worksheet
Extension GCSE questions

Example of what all of my presentations are like
Algebra Unit: Simplifying Expressions
Presentation includes:
Warm
Keywords, Objectives and Outcomes
Recap questions
Simplifying quiz
Quick fire examples
Common error example
Multiplying algebra terms
Test understanding so far
Dividing algebra terms
Test understanding so far
Differentiated exercise of all simplifying
WWW/EBI

Introductory booklets to FS at Entry Level 2, Level 1 and Level 2 including all examples, how to and practice exam questions.
Learners self assess their own ability and confidence in each individual subject at the beginning at at the end of the booklet and includes a full glossary:
Topics included are:
Understanding Number
Rounding and Estimating
Averages
Fractions Decimals and Percentages
Money and time
Ratio, Scale and Proportion
Units of measure
2d and 3d shapes and Angles
Perimeter, Area and Volume
Data handling and graphs
Probability

Functional Skills Maths 49 page Starter Booklet with Answers.
Introductory booklet to FS at Level 2 including all examples, how to and practice exam questions.
Learners self assess their own ability and confidence in each individual subject at the beginning at at the end of the booklet and includes a full glossary:
Topics included are:
Understanding Number
Rounding and Estimating
Averages
Fractions Decimals and Percentages
Money and time
Ratio, Scale and Proportion
Units of measure
2d and 3d shapes and Angles
Perimeter, Area and Volume
Data handling and graphs
Probability