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ReallyUsefulMaths

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(based on 167 reviews)

The Resources within this shop are all designed for the teaching of Mathematics for those in the age range 7 - 18 years old. Most resources consist of a PowerPoint lesson followed by a worksheet for the students. With over twenty nine years of experience, the powerpoint/worksheets within the shop have been used successfully by myself and colleagues over that time. As a head of department for over 15 years, the department has yearly been judged as adding substantial value to students grades.

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The Resources within this shop are all designed for the teaching of Mathematics for those in the age range 7 - 18 years old. Most resources consist of a PowerPoint lesson followed by a worksheet for the students. With over twenty nine years of experience, the powerpoint/worksheets within the shop have been used successfully by myself and colleagues over that time. As a head of department for over 15 years, the department has yearly been judged as adding substantial value to students grades.
GCSE Mathematics 9-1: Sequences: Continuing a sequence, using the nth term and finding the nth term
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GCSE Mathematics 9-1: Sequences: Continuing a sequence, using the nth term and finding the nth term

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Lesson 1: Continuing a sequence This lesson looks at students being able to continue a sequence from a given rule, or obtaining a pattern from the numbers already given in the sequence. Through worked examples students get their first insight to the work involved with sequences. Lesson 2: Continuing a pattern This lesson concentrates around continuing patterns. Several worked examples look at numerical responses to the patterns generated. I usually teach this lesson after continuing a sequence and before the lesson on using the nth term. Lesson 3: Using the nth term This lesson is always taught after the introduce to continuing sequences. This lesson demonstrates how sequences can be generated by formulae. Also I point out along the way how the sequence going up by a certain number doesn’t imply that we add whatever each time but that it belongs in some way to a particular multiplication table. This, I find, helps with the next lesson on finding the nth term. Lesson 4: Finding the nth term This lesson is mainly about finding the nth term of any linear sequence. Through worked examples students very quickly learn how to find the nth term of sequence such as 5, 8, 11, 14, etc… The lesson also touches on other sequences but through their new found understanding of the linear sequence. This lesson is taught after the lesson on using the nth term and, dependent on age or ability, before the lesson on sequences which involve quadratic solutions. Sequence Workbook This selection of work can easily be printed as an A5 booklet. The booklet consists of questions for students to attempt in class or as a piece of homework and compliment the lessons on sequences I use yearly.
Algebra : Collection of like terms, Simplifying expressions and Substitution
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Algebra : Collection of like terms, Simplifying expressions and Substitution

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This bundle of work consists of three lessons with worksheets. Lesson one : Collection of like terms. This lesson and two worksheets covers the ability to collect like terms when simplifying a series of terms. Lesson two : Simplifying expressions This lesson and two worksheets looks at multiplying terms together where algebra is involved. (At the same time revising the knowledge of - x - or - x +, etc) Lesson three : Substitution into formulae This lesson and two worksheets covers the ability to substitute numerical values into simple algebraic expressions Two worksheets have been given per lesson so that if the class has an issue with the first worksheet, then a review of the work can take place with the follow up worksheet used to demonstrate improvement. These lessons are suitable as an introduction to Algebra or for the younger students who have little knowledge in Algebra.
Addition of Fractions
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Addition of Fractions

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This lesson teaches students how to add two fractions together. The lesson is structured for those who may struggle with adding fractions together. The lesson is accompanied with several worksheets for students to complete on adding fractions. Answers are included.
GCSE Graded Resources
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GCSE Graded Resources

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Due to the COVID 19 pandemic and recent lock downs, I have designed a series of graded worksheets which can be used to identify gaps in students work throughout the grades. This first batch looks at the material which should cover most topics in the Foundation Tier, graded from 1 to 5. There are approximately 3 to 4 sheets for each grade (with answers). The idea is that a student is given a grade 1 sheet to complete. Once marked and reviewed, the class teacher can then identify class issues, individual student issues and revise accordingly. The a second grade 1 sheet can be given to see if there is improvement. This can be completed for a third and sometimes a forth time. The same approach is then given to grades 2, 3, 4 and 5. This can also be used to seek what worked in lock down with on line learning and what did not.
Ratio & Proportion
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Ratio & Proportion

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These 5 lessons introduce students to Ratio and proportion. Lesson 1: Simplifying a ratio and expressing a ratio as a fraction Lesson 2: Expressing as a ratio and simplifying Lesson 3: Dividing into a ratio using the totals in ratio Lesson 4: Dividing into a ratio using one of the given parts Lesson 5: Dividing into a ratio when using the difference between two ratios or the sum of some parts. Each lesson consists of a PowerPoint, printed examples (if preferred ) and a workbook (which I usually print as an A5 booklet). Solutions are given for the workbooks.
Decimals
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Decimals

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Suitable for both KS2 and KS3 students. Due to COVID the way we teach has altered somewhat. These days I find it easier to have my examples preprinted with students filling in the gaps between examples in class with the aid of the teacher at the front. A workbook is then provided which allows the student to answer directly in the book. Note: I tend to print the examples as A4 and the workbook as an A5 booklet. Lesson 1: Examples and workbook on Decimal place value. Lesson 2: Examples and workbook on Addition of decimals Lesson 3: Examples and workbook on Subtraction of decimals Lesson 4: Examples and workbook on Multiplication of decimals The examples are also available to buy as a PowerPoint lesson on the shop.
Types of Solids
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Types of Solids

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There are approximately four lessons of work here which include the knowledge of Prisms, Pyramids and Spheres. I tend to get the students to copy the examples into their books. Then when they start the worksheet they have something to look back at for guidance.
Factorising & Removal of brackets Revision
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Factorising & Removal of brackets Revision

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This powerpoint can be used over two or three lessons as revision for removal of one bracket, two brackets and three brackets. Also it can be used to revise factorising through the use of one bracket, two brackets. Each section consists of two or three worked examples followed by several questions for the students to answer. I get the students to copy down the worked examples as we work through them and then they are left to attempt the given questions before we run through the solutions at the board. All answers are given.
Properties of a velocity time graph revision
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Properties of a velocity time graph revision

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This revision lesson looks at revising with students the understanding that area under a curve represents distance travelled and the gradient of a tangent represents acceleration when looking at a velocity time graph. The revision lessons is a mixture of worked examples and questions for the students to attempt before reviewing at the board.
Frequency Polygon & Cumulative Frequency Revision
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Frequency Polygon & Cumulative Frequency Revision

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This revision lesson reminds students how to draw both Frequency polygons and cumulative frequency curves. This is done through both worked examples and a few for them to have a go at before checking answers at the board. The lesson also reminds students how the median and Interquartile range are found from the cumulative frequency curve.
GCSE Higher level Algebra Revision
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GCSE Higher level Algebra Revision

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This revision powerpoint looks at worked examples for the topics of Completing the square and solving quadratics inequalities. The second revision lesson looks at iterative formulae and quadratic sequences. The idea is that the member of staff works through 2 or 3 examples before the student attempts one question at a time. The review of the question then reinforces the students understanding of the topics.
Percentages
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Percentages

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This spreadsheet will generate infinite worksheets for percentage questions. The spreadsheet will also provide the answers. Once the sheet is generated print the sheet and print the answers. Then change the worksheet number to 2 or 3, extra and watch a completely new worksheet get generated. Alternatively the spreadsheet can be projected onto the board and students answer from the board. Then at an appropriate time the answers can be shown by changing the column hiding the answers back to black font.
Sequences
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Sequences

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This series of worksheets looks at sequences. Continuing a sequence, the nth term of a linear sequence and the nth term of a quadratic sequence. I use these worksheets initially to accompany the lessons being taught and then as followup work to help with retention.
Simplifying Surds
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Simplifying Surds

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This Powerpoint can be used over approximately three lessons. The lessons introduce the knowledge of the surd. The understanding of simplifying a surd or an arrangement using surds and then concludes with the more complicated surd questions we see in the new GCSE structure. The Powerpoint is accompanied with two worksheets and answers, which can be used in class or as a piece of homework.
Introduction to Distance, Speed, Time
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Introduction to Distance, Speed, Time

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This lesson is aimed at introducing students to the three formula involving Distance, Speed and Time. There are plenty of worked examples and a worksheet to accompany the lesson.
Mathematics GCSE weekly revision 2
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Mathematics GCSE weekly revision 2

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These 5 sheets of 9 questions per sheet can be given to students to complete in class or as a piece of work for home. The sheets are designed to give students regular practice at questions they often forget. Topics included are: Area of a trapezium Solving equations finding the nth term of a sequence Constructing an equation Prime factors Volume of a cylinder Decimal multiplication Factorising Removal of brackets Pie charts Transformations
Fractions of a quantity
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Fractions of a quantity

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This lesson was used with a Key stage 3 class. we worked through each example using the calculators this time. Another lesson available in the shop addresses finding the fraction of a quantity without a calculator. The class then complete the worksheet in class or as a piece of homework.
Drawing other standard graphs
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Drawing other standard graphs

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This lesson is a follow on from the lessons involving drawing the quadratic curve. The lesson consists of a couple of worked examples on drawing standard curves, followed by information about some standard graphs and their shape. The lesson also has an worksheet for students to tackle in class or as a piece of homework.
Percentages
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Percentages

10 Resources
All my resources on Percentages. Lessons, revision lessons and worksheets at a discounted price.
Christmas Mathematics questions
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Christmas Mathematics questions

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Make the run up to Christmas a little more fun with these TWO activities in one resource. Activity 1 includes 10 Christmas themed questions for the whole class to answer. Activity 2 includes a Christmas themed work sheet, for students to answer indivually. The questions are aimed at GCSE level and are an excellent, but fun revision sessions. Questions include number, fraction, ratio and algebra. Answers are included for both activities.