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Mr Collins' Maths Resources

Teacher of Mathematics at a Secondary School in Surrey. Member of the TES Mathematics Panel. Blogger - all things Mathematics and Education at http://mrcollinsmaths.blogspot.co.uk 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. Blogger - all things Mathematics and Education at http://mrcollinsmaths.blogspot.co.uk 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.
Identifying Expressions, Equations, Identities and Formulae
paulcollins

Identifying Expressions, Equations, Identities and Formulae

(1)
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.
Expanding Brackets and Simplifying Expressions
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Expanding Brackets and Simplifying Expressions

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A notebook (and converted PowerPoint) file on Expanding Brackets and Simplifying Expressions. This is a whole lesson's worth of content, possibly two lessons. Includes a starter to expand single brackets and collect together 'like terms' in simple expressions. Examples for you to go through with your class before giving students questions to attempt. There are then 4 different plenary activities to use with your class: a matching activity, a 'spot the mistake' activity, a 'noughts and crosses' activity and finally a 'Finish Him' question! I originally created this resource in SMART notebook but have converted it into a ppt for more to use/benefit from - I've added some animations to make it as usable.
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.
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
Highest Common Factor - scaffolded worksheet
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Highest Common Factor - scaffolded worksheet

(1)
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.
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.
Y11 Higher (C/B Grade) Homework Sheets
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Y11 Higher (C/B Grade) Homework Sheets

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Inspired by http://goo.gl/EUD8Mu I have created 20 Higher Tier h/w sheets for students aiming to get a C/B grade. The sheets alternate between non-calc and calc h/ws and will be used in Term 1 this year. I will then use some B/A grade h/w sheets (watch this space) in Term 2/3. These sheets are aimed at giving students revision of the topics needed to achieve C/B grades in their GCSEs.
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)

(0)
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
paulcollins

Constructions Comics

(5)
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

(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.
Y10 Consolidation Homeworks
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Y10 Consolidation Homeworks

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This is a set of 6 homework sheets I use with Higher Tier GCSE students in Year 10. Each sheet has 10 questions on, which stay the same throughout the sheets - the numbers/wording of the questions change slightly. Topics covered: Rounding to Significant Figures, Standard Form, Substituting into Linear Equations to find values to plot, Area and Circumference of Circles, HCF/LCM and Product of Prime Numbers, Estimation, Multiplying 2-digit numbers, Solving Linear Equations. All answers included on a separate sheet for easy marking! I upload the homework sheets to our school's VLE for students to attempt/download themselves each week. Easy to set, easy to collect in, easy to mark and give feedback in class.
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.
Factorising Quadratics Lesson(s)
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Factorising Quadratics Lesson(s)

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This a complete set of lessons on factorising quadratic expressions. Starter includes expanding single and double brackets, all answers included Then, a nice 'Products and Sums' task where students, on mini whiteboards, find which numbers have a product of ... and a sum of... . LOs, before examples for you to cover with your class on each permutation of signs in the brackets once factorised - a very scaffolded approach to suit lower ability students. All answers included for questions posed to students. Other starter activity is to find pairs of expressions that match before continuing with the series of lessons. Finally, a 'My favourite No' (see my blog mrcollinsmaths.blogspot.co.uk) plenary task to review students learning.
Guess Which (Quadrilateral)
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Guess Which (Quadrilateral)

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An engaging game looking at the properties of quadrilaterals. The game is based on the popular board game 'Guess Who'. Students pick a playing card from the deck and then, in turn, ask each other questions to try and guess which quadrilateral their partner has. As the game progresses students eliminate (cross off) the quadrilaterals from their board, based on their partner's answers to their questions. The game is won when one student guesses, correctly, their partner's quadrilateral. Playing board and (back-to-back) playing cards included as well as full instructions and suggestions as to how best use the resource.
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'.
A Seasonal Snowman Investigation (Listing Outcomes)
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A Seasonal Snowman Investigation (Listing Outcomes)

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A seasonal/end of term investigation that looks at listing (systematically) all possible outcomes of successive events. All resources needed are including the ppt file & blank snowman templates to use for display work. Extension tasks and all answers are provided. There are two different approaches to the same task included in the resource too so you can choose what best fits your students. Complete with plenary activity, seasonal music and animations.
Solving Inequalities and Representing the Solutions on a Number Line
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Solving Inequalities and Representing the Solutions on a Number Line

(0)
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).
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.
Plotting and Identifying Coordinates (Iron Man, Minion, Heart, Dragon & Bat Logo)
paulcollins

Plotting and Identifying Coordinates (Iron Man, Minion, Heart, Dragon & Bat Logo)

(0)
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