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ReallyUsefulMaths

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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.

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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 Maths : Factorising trinomials
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GCSE Maths : Factorising trinomials

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This lesson has been used over the years as an introduction to factorising initially the basic trinomials before looking at the more complicated trinomials. The lesson also consists of a worksheet with solutions for students to attempt in class or as a piece of homework.
Cubics: Expanding and factorising
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Cubics: Expanding and factorising

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With factorising and removing brackets of cubics being new to the GCSE specifications last year I have introduced these two lesson to my class teaching. Starting with removal of brackets students are able to extend from the two brackets situation to the three brackets. The following lesson looks at the more complicated factorising a cubic. Initially starting with the first factor given style of question before looking at factorising with no hint given. Worksheets are given for both lessons which could be used in class or as a piece of homework.
Christmas End of Term Games
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Christmas End of Term Games

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These activities are aimed at key stage 3 students. They could also be used as revision for GCSE students. The pack contains GCSE foundation style questions including standard form, ratio, number work, fractions, algebra and much more. Answers are included. Each round consists of four questions. Print the slides 8 to 13 on A4 paper and place one printed slide per table Put students into pairs (either by choice or teacher selection) Each are given a copy of slide 14 and a few sheets of pieces of A4 paper. The pairs are designated a starting table and the timer (slide 2) is started. The students are then given 5 minutes to answer the four questions on that table. Once the five minutes is up the students move clockwise to the next table and start the next set of four questions and the timer of slide 3 is started. This continues until all students have completed each set of questions. The exercise should take no longer than 30 minutes At the end students remain at their final table and swap answer sheets with the nearest table. Go through each question with the class before revealing the answers. Finally, students ad up their score and the highest score gets a prize! This exercise gives students a chance to try GCSE style foundation questions and see a demonstration on how they should be answered.
GCSE Algebra: Drawing straight line graph revision
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GCSE Algebra: Drawing straight line graph revision

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This Revision lesson reminds students how we draw graph from an equation in the form y=mx+c. Firstly the member of staff goes through two worked examples before the students tackle one or two on their own before checking the solution at the board. The examples then get more complicated. This revision lesson is aimed at Foundation students.
Mathematics Sequences worksheet generator
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Mathematics Sequences worksheet generator

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This spreadsheet will generate infinite worksheets for either linear sequences or quadratic sequences. The spreadsheet will also provide the answers. Once the sheet is generated print the sheet. The cover the answers and send the font to white (this hides the answers) print this sheet. Repeat for newly generated worksheets. 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.
Mathematics Worksheet generator
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Mathematics Worksheet generator

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This spreadsheet is set up to produce nine questions for students to answer on a variety of foundation topics. The spreadsheet also generates the answers. To generate a new list simply alter week 1 for week 2 etc and a new sheet is generated. That is the numbers are replaced or a different algebraic expression is generated. The topics on this sheet include: Dividing into a given ratio Multiplying fractions together nth term of a linear sequence collection of like terms solving simple equations decimal conversions metric conversions decimal multiplication
Weekly GCSE Mathematics Mini Test
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Weekly GCSE Mathematics Mini Test

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This series of over 20 tests (and answers) helps students retain the ability to answer questions on a range of topics. The topics consist of Dividing into a given ratio nth term of a linear sequence Converting decimals into fractions Fractions (add, multiply and divide) Area of triangles, rectangles and circles Converting between mm, cm, m and km Collecting like terms. Removing brackets Solving simple equations Multiplying decimals Percentages of a quantity Expressing as a percentage Compound percentages Probability of a single event. Probability of two events when two spinners are spun Distance/Speed/Time Density/Mass/Volume
Solving Equations
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Solving Equations

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These worksheets (and answers) look at solving simple equations moving u to solving equations involving a bracket. I use these worksheets initially to compliment the lesson being taught and subsequent worksheets are follow up through out the year to help with retention.
GCSE Mathematics : Revision End of Term Games
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GCSE Mathematics : Revision End of Term Games

(0)
This activities are aimed at key stage 3 students but could be used as revision for students who are revising for their GCSE examination. Each round consists of four questions. Print the slides 8 to 13 on A4 paper and place one printed slide per table. Students are put into pairs (either by choice or teacher selection) and are given a copy of slide 14 and a few sheets of pieces of A4 paper. The pairs are designated a starting table and the timer (slide 2) is started. The students are then given 5 minutes to answer the four questions on that table. Once the five minutes is up the students move clockwise to the next table and start the next set of four questions and the timer of slide 3 is started. This continues until all students have completed the six tables worth of questions. The answering of the questions takes no more than 30 minutes. Students then remain at their final table, swap their answer sheet with the nearest table and the answers are produced. At this stage I go through the questions before revealing the answers. In this way the students have had a go at GCSE style foundation questions and have also seen a demonstration as to how they should have been answered. Finally, students add up their score and the highest score get a prize!
Frequency Polygons
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Frequency Polygons

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This lesson and selection of worksheets helps with the teaching of frequency polygons.
GCSE Mathematics KS4: Stem & Leaf Diagrams
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GCSE Mathematics KS4: Stem & Leaf Diagrams

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This lesson and worksheet teaches students how to draw a stem and leaf diagram and also how it can be used to calculate the median and range. As a bonus I have also included an Excel worksheet Generator which allows you to create an infinite number of worksheets on stem & leaf for those who require additional practice. The lesson is mainly aimed at key stage 4 students studying GCSE mathematics, however it can also be used in any key stage 3 maths lesson. (Note available for Both PC and Mac)
GCSE Mathematics revision booklets
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GCSE Mathematics revision booklets

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These GCSE Mathematics revision booklets are aimed at KS4 students who are independently revising for their GCSE. The front cover of each booklet can be scanned with a phone which will then upload a video to be watched. The student is then in a better position to attempt the material inside each booklet. Topics included are 3d Trig & pythagoras Algebraic Fractions Angles in a polygon Arc Length & Area of a sector Area under a curve Best Buys Calculating the mean Change of subject Circle theorems Completing the square Composite & Inverse functions Compound measures Cubics Cumultative frequency Density Mass Volume Direct & Inverse proportion Drawing graphs Equation of a line Error bounds Expanding & Factorising quadratics Forming equations Fractions HCF, LCM & Prime factors Histograms Inequalities Iterative formula Indices Perpendicular lines & Tangents Probability tree Quadratic sequences, formula & inequalities Ratio Recurring decimals Reverse percentages Trigonometry Simultaneous equations linear & quadratic Standard form Surds Transformations Volume
Dividing into a given Ratio
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Dividing into a given Ratio

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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. Furthermore at home students can access a video example or two with the QR code on the front of the workbook (just in case they are struggling at home) Answers are provided and also answers to the examples
Iterative Formulae
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Iterative Formulae

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This lesson teachers students about the iterative formula. The ability to identify why there is a root between two points. The ability to generate an iterative formula. The presentation also demonstrates that not all iterative formulae work. The lesson follows with a worksheet for the students to attempt either in class or as a piece of homework. Answers are included.
Functions
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Functions

4 Resources
The bundle covers the function work on the new GCSE. Looking at composite functions, inverse functions and transformations of graphs.
Bar Charts
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Bar Charts

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This lesson I usually teach to the younger students. I prefer to drawn horizontal bar charts as the labelling is much easier to represent. However there are examples of vertical bar charts in the powerpoint and worksheet. One of the slides is designed to carry out a tally chart in class. Once the tally has been collected you can place the information into the next slide and a horizontal bar chart for the live data will be presented.
Constructing Triangles
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Constructing Triangles

(1)
Three lessons on how to construct Triangles. Each lesson has a relevant worksheet for students to answer either in class or as a piece of homework. Each worksheet also has a solution sheet. First lesson looks at constructing triangles when given all three sides. Second lesson looks at constructing triangles when given one side and two angles. Third lesson looks at constructing triangles when given two sides and one angle.