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Mr Collins' Maths Resources

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Teacher of Mathematics at a Secondary School in Surrey. Member of the TES Mathematics Panel. The resources I have created have all been used personally in my lessons and amended according to their success in my lessons. I hope others find them useful.

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Teacher of Mathematics at a Secondary School in Surrey. Member of the TES Mathematics Panel. The resources I have created have all been used personally in my lessons and amended according to their success in my lessons. I hope others find them useful.
Highest Common Factor - scaffolded worksheet
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Highest Common Factor - scaffolded worksheet

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A worksheet (pdf) and editable ppt file on finding the Highest Common Factor (HCF) of 2 numbers. There are 7 questions in total across 3 pages. There are boxes for students to write in the factors of each number before selecting the highest common factor. Some factors are pre-populated for students to guide them along the way. Fewer factors are given as the questions progress. Best printed as a booklet so students can fold and stick in their exercise books. Aimed at lower-ability sets. Could be used as a homework/cover worksheet too.
Calculator Skills Questions for GCSE Calculator Paper Revision
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Calculator Skills Questions for GCSE Calculator Paper Revision

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I have put together these sets of questions for students to practise their calculator skills ahead of the GCSE Calculator Paper. The questions involve students typing in a calculation into their calculators, writing down all the digits on their calculator display and then rounding their answers to a given number of either decimal places or significant figures. I aim to use these as a starter in each lesson/revision session leading up to the calculator paper. Answers included.
Trigonometry (Sin, Cos & Tan)
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Trigonometry (Sin, Cos & Tan)

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A complete Unit of Work on Trigonometry (Sin, Cos and Tan). Covers finding missing lengths and angles of right-angled triangles. No Sine Rule or Cosine Rule included. Activities include: Measuring lengths of similar triangles to discuss/discover the ratios, identifying lengths of triangles (hypotenuse, opposite, adjacent), exact trigonometric identities (NEW to the 1-9 GCSE), rounding to 3 significant figures, choosing whether to use sin, cos or tan, choosing whether it's a trig question or Pythagoras and more. Lots of practice questions, all answers included and plenary type questions for each lesson/series of lessons. I have been using this with my Year 10 higher set 2 and has taken 6 lessons to complete - not rushing through it and taking the time to explain/cover misconceptions. Would be suitable for NEW 1-9 GCSE Foundation students too. See my blog post for more details.
Plotting and Identifying Coordinates (Iron Man, Minion, Heart, Dragon & Bat Logo)
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Plotting and Identifying Coordinates (Iron Man, Minion, Heart, Dragon & Bat Logo)

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A set of 5 different pixelated images to create by joining coordinates. These resources are very popular on the TES and I decided to make my own for my students as I enjoy doing them just as much as they do. Included are: a heart, a ‘minion’ (from the ‘Despicable Me’ films), the ‘bat logo’, a Dragon (for St. George's Day) and ‘Iron Man’. All images include both a 1st quadrant only and all 4 quadrants set of coordinates so you can differentiate for your students’ abilities. All answers included
Constructions Comics
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Constructions Comics

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2 sets of engaging comics containing the constructions needed at KS3 and KS4. The first comic contains perpendicular line and angle constructions; the second contains the triangle constructions (SSS, SAS, ASA). Students follow the instructions on the comics to complete their constructions leaving you time to help those students that require a bit more support. There is a triangle constructions worksheet included, as well as an index in the teacher instructions to easily find the construction you are teaching. Read more and see examples here...http://goo.gl/vQKoQR
Takeaway Homework Menu - Mathematics
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Takeaway Homework Menu - Mathematics

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This is my 'takeaway homework' menu I give to my students. The pdf contains a ready to print version of the menu to give straight to students. The idea is that they choose any task to complete for their homework from the menu. I set these homeworks over a half term and students have to earn a set amount of 'chillies' in these weeks. On the ppt file I have an editable version of the menu for you to change my name etc to suit your students - this can then be printed as above. I also have many examples of work from my students to use for inspiration as to what can be created. There are also some display logos and ideas from my current display board in the word doc. See my blogs below for more details! http://goo.gl/hSj1ER http://goo.gl/s6YAln I love this approach to homework and so do my students.
Mathematical Plenary Sticks
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Mathematical Plenary Sticks

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A set of 100+ Plenary questions/tasks to use in your Mathematics lessons. Print, cut up and laminate each page of this resource before hole punching and binding the ‘sticks’ together for plenty of use in your lessons. Included in the resource, in addition to the 100+ questions/tasks are blank ‘sticks’ for you to create your own questions/tasks, plus suggestions as to how best use this resource with your students. Read more here...http://goo.gl/J2LYSe
Mathematics Revision Cards/Activities Book
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Mathematics Revision Cards/Activities Book

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A 39 page resource of the revision cards/activities I have used with my classes when finishing topics or when revising for exams. Included in the resource are templates for you/your students to create your own revision cards. There are over 10 different revision cards to create/use. I have also provided examples/pictures of cards I have made, and some they have created too! All instructions to create each card are included in the resource. Read more and see examples here -> http://goo.gl/zjtTxU
GCSE Mathematics Data Handling Revision/Key Points
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GCSE Mathematics Data Handling Revision/Key Points

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I have recently created this presentation to run through with my Y11s in preparation for their GCSE Mathematics exams. The topics covered are: Stem & Leaf Diagrams, Scatter Graphs, Frequency Polygons, Questionnaires, Estimate of the mean from a grouped frequency table, Cumulative Frequency Curves, Box Plots, Stratified Random Sampling, Probability Tree Diagrams, Histograms and Two Way Tables. I've highlighted key points for each topic that students need to remember. A3 sheets with questions now uploaded for students to use as you go through presentation!
GCSE Trigonometry Revision Sheet
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GCSE Trigonometry Revision Sheet

(4)
I created this GCSE Trigonometry Revision sheet for my Y11 students. I printed the pdf document on A3 paper and got students to complete the questions on the sheet, adding in their own notes/mnemonics to help them remember when to use each rule/formula. The students really enjoyed doing this activity in class as part of their revision for their examinations and then took their A3 sheets home to use as part of their ongoing revision. Once the sheet was filled in, and checked/marked we used them to answer questions from text books/past exam papers. One of my students' completed sheets is attached too.
Takeaway Homework Menu - Mathematics
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Takeaway Homework Menu - Mathematics

(0)
This is my 'takeaway homework' menu I give to my students. The pdf contains a ready to print version of the menu to give straight to students. The idea is that they choose any task to complete for their homework from the menu. I set these homeworks over a half term and students have to earn a set amount of 'chillies' in these weeks. On the ppt file I have an editable version of the menu for you to change my name etc to suit your students - this can then be printed as above. I also have many examples of work from my students to use for inspiration as to what can be created. There are also some display logos and ideas from my current display board in the word doc. See my blogs below for more details! http://goo.gl/hSj1ER http://goo.gl/s6YAln I love this approach to homework and so do my students.
Properties of Quadrilaterals Plenary
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Properties of Quadrilaterals Plenary

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This is a plenary activity I do when teaching Properties of Quadrilaterals. I use my ABCD Fans (see my free resources) for this, but mini whiteboards would work just as well. 10 questions to test students knowledge on the properties of quadrilaterals.
Circle Theorems Lesson - Dissection
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Circle Theorems Lesson - Dissection

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This is a lesson I teach on Circle Theorems. The main resource is the notebook file which contains details on the starter task (see below), all circle theorems explained and detailed for students to copy on A3 paper (this is how I usually get them to do it), then 10 multiple choice questions to answer using my ABCD Fans (see my free resources)[can also use mini whiteboards]. The starter task, separate wsheet for students, involves them picking out parts of the diagram shown to identify angle facts already known - angles in a triangle, quadrilateral etc. This is then on the notebook file which is interactive and layered, allowing you to pull out certain features to explain to students.
Mr Collins' Mathematical Stories - 'The Pythagosaurus Rex'
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Mr Collins' Mathematical Stories - 'The Pythagosaurus Rex'

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This is the first of a series of 'stories' I have written for my students. This story involves some dinosaurs ('trinosaurs') in the shapes of common triangles. The 'trinosaurs' love to work out each others' perimeters and areas but have trouble working out their areas when they don't know their heights - cue 'The Pythagosaurus Rex' - who helps the other 'trinosaurs' work out their missing lengths (heights) using Pythagoras' Theorem. The story includes explaining how to find the perimeter and area of triangles (no trig involved), then explaining Pythagoras' theorem and some questions to attempt (answers at the back of the book). All pictures hand drawn by me! I show the story to my students at the start of teaching Pythagoras and get them to read it aloud in class - can be quite fun as it's a change from 'the norm'.
Identifying Expressions, Equations, Identities and Formulae
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Identifying Expressions, Equations, Identities and Formulae

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A lesson (ppt) to go through the differences between expressions, equations, identities and formulae. Starter involves getting students to write their own definitions of an expression before discussing as a class which is the best definition. Main tasks include being given definitions for the equations, identities, and formulae. Simple equations to solve, '2 facts 1 lie' type activity for identifying identities, formulae to substitute into and work out the value of a variable. After these an activity that involves students stating whether something is an expression, equation, identity or formula, answers included. Then, a '2 facts 1 lie' and review of learning plenary at the end of the lesson.
Solving Algebraic Fractions
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Solving Algebraic Fractions

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This is a ppt of lessons for solving algebraic fractions. Starter involves solving linear equations that involve fractions (and brackets), answers included. Solving algebraic fractions by 'cross-multiplying' examples are then given for you to go through with your students before they attempt some questions, all answers included. Another quick starter on adding/subtracting fractions. Then, examples to solve algebraic fractions that deduce a quadratic equation to be solved. Use of a common denominator and then recapping of the methods to solve quadratic equations is necessary and can come out in the teacher's examples included. Questions then given for students to attempt, all answers given. Finally, a 'Finish Him' style plenary task for students to attempt after the teacher has started it off for them. All slides have 'tabs' to refer back to LOs and key words throughout the lesson - can be copied and pasted to any slide/ppt.
BIDMAS lesson activity
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BIDMAS lesson activity

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This is a nice activity to get students using BIDMAS. The activity involves students being given a calculation on entering your classroom - print and cut out slides 4-7. The students answer the question (using BIDMAS) to find the location of their seat for the lesson. Each seat in the class will need to be numbered before the lesson - Print slides 8-39. You can give certain students certain questions to ensure they are sat in certain seats. Then, once they've found their seat they should attempt the rest of the questions where the answers are the numbers between 1-32. The great thing about this task is that students often get the answers wrong and you end up getting 2 or more students thinking they are in the same seat, hence discussion occurs as to who is correct! They can then use each other to answer the questions on the worksheet! All answers included.
Mega Substitution Grid
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Mega Substitution Grid

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This is an activity I use with my students after we have covered substitution into expressions. Students are given the MEGA substitution grid and a mini whiteboard/their exercise book and must substitute the values given in each column into the expressions in each row. The grid should be completely filled in. There are a few parts of the grid already filled in for the teacher to go through with the class - ensuring they are able to see how the values have been achieved. All answers included in the ppt. Grid displayed on the board throughout the activity so the teacher can refer to as students ask questions. The activity involves substituting integer values (positive, negative and zero) into simple expressions (including negatives), those with squared terms and brackets.
Solving Inequalities and Representing the Solutions on a Number Line
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Solving Inequalities and Representing the Solutions on a Number Line

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A whole lesson on SMART notebook to teach students how to solve inequalities and represent the solution on a number line. Number lines worksheet also included with 10 number lines to a page for students to work on. Notebook file includes: Starter - putting the correct inequality sign between 2 numbers and writing an inequality for a solution given on a number line (this is mainly to test their prior knowledge)! Solving linear equations task, complete with answers to review this skill and link in with solving the inequalities. Examples for you to go through with your students before giving them questions to attempt. Blank number lines to get students to come to the board to answer questions, before revealing the answers (included).
Forming and Solving Linear Equations
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Forming and Solving Linear Equations

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This is a complete set of lessons on forming and solving linear equations. SMART notebook file for use with the IWB. Starter involves solving linear equations, with all answers included. Forming equations from 'wordy' type questions Forming equations from geometric scenarios - those that involve areas/perimeters of shapes Forming equations from geometric scenarios - those that involve angles within shapes, on straight lines, around a point, etc - a recap on basic angle rules is included too. Lots of examples to go through with your students as well as questions to pose to them. Includes 'Finish Him' type plenary questions and LOs.