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Manipulating Sectors Formulae

Manipulating Sectors Formulae

Students learn how to manipulate the various formulae associated to the area of a sector and arc length to find the radius and angle theta. As learning progresses they are challenged to solve more complex problems both with and without a calculator. Differentiated Learning Objectives All students should be able to manipulate the formula for the arc length of a sector. Most students should be able to manipulate the formula for the arc length and area of sectors. Some students should be able to derive known facts for problems involving sectors through manipulating the formulae. Mr Mathematics’ annual members have instant access to all lessons across Key Stage 3 and 4. Termly GCSE assessments are also available to monitor student’s progress. Visit mr-mathematics for * Fully planned and differentiated maths lessons for the GCSE 9 - 1 and new Key Stage 3 specification * Schemes of work based on pedagogy and teacher support for Key Stage 3 and 9 – 1 GCSE courses. Follow me on twitter for updates on new lessons available at http://mr-mathematics.com @mr_mathematics.

By Mr_Mathematics

GCSE Maths - Quadratics Complete Unit Pack.

GCSE Maths - Quadratics Complete Unit Pack.

This is a unit of work that I have created on Quadratics for GCSE Higher Maths consisting of 8 lessons covering: expanding double brackets, factorising quadratics, solving quadratics and using the quadratic formula. I used this resource with a Year 8 G+T group and there is also a slight touch on completing the square as an extension however isn't a stand alone lesson. There are four PowerPoints with various worksheets and tasks as well as an end of unit assessment complete with mark scheme and consolidation, green pen feedback (GPF) tasks. There's also plenty of problem solving tasks to comply with the new GCSE. Feedback is deeply appreciated, Fin :)

By finbutler999

Algebra topics

Algebra topics

Four worksheets (with detailed solutions) on the following topics from algebra: factoring difference of two squares, factorising polynomials, rearranging formulae and simplifying algebraic fractions.

By math_w

Three New 9-1 Maths GCSE Algebra Topics Lesson Bundle

Three New 9-1 Maths GCSE Algebra Topics Lesson Bundle

This bundle includes three NEW 9-1 GCSE whole lessons and resources Including: 1) Iteration and Iterative Processes 2) Identities and Equating Coefficients 3) Expanding Triple Brackets Each resource includes; - Answers -starter activities -Fully modelled examples -Differentiated questions -Challenges -Quizzing activities to help with misconceptions -Examination style questions -Minimal Printing -Plus lots more teaching resources

By MissBsResources

Iteration and Iterative Processes - Full lesson, quizzes, differentiated worksheet, exam questions

Iteration and Iterative Processes - Full lesson, quizzes, differentiated worksheet, exam questions

(All answers are provided) I've designed this lesson to build up students knowledge of iteration and iterative processes. It begins with a quick stop clock starter to review skills they should already know and will need to use throughout the lesson. The it leads to a discussion about what iteration is using real life concepts such as painting a door. This leads into a slide and discussion on the maths definition of what iterative processes are. Non calculator section Students shouldn't use a calculator/ ans button for these first questions so they can grasp the concept of iteration by physically doing substituting the previous answer in. 1) There are two basic iteration examples, fully animated, for students to follow through with yourself. 2) This the leads to 3 questions for the students to try for them selves. Calculator section Finding x1, x2 and x3 1) Explanation of where to find the ans button on your calculator and how it works. It's useful to get the students to do it on their calculators along with the PowerPoint. 2) 2 examples of iterative process questions that require a calculate. 3) 5 Multiple Choice Questions. Estimating a solution 1) 2 fully animated examples on estimating a solution to a required number of decimal places. 2) 2 questions for the students to try themselves. Rearranging to make an iterative formula 1) 3 different example rearrangements of the same formula 2) Odd one out. Students need to spot which iterative formula isn't a rearrangement of the equation. The resource then in includes a differentiated focused activity which progressively gets harder. This gives students a chance to master and enhance their skills. It includes 5 separate sections a skill 1, 2 & 3 and a stretch. These are all displayed on the same slide for ease of use, however these questions are quite wordy and it may be worth while to print the slide off as a worksheet. Then to finish there is an application on how this could be seen in an exam situation with exam style questions including answers. I hope you find this resource as useful as my students have. Miss B

By MissBsResources

UAE Algebra Tour - Year 6

UAE Algebra Tour - Year 6

Lesson Objective: To use simple formulae. A differentiated collaborative task for year 6. This task is about calculating distances between the cities of the UAE. Also includes research tasks using Google maps and practice questions for procedural fluency.

By fpax

Identities and Equating Coefficients: Full lesson, answers, quizzes, differentiated & exam questions

Identities and Equating Coefficients: Full lesson, answers, quizzes, differentiated & exam questions

(All answers are provided) I've designed this lesson to build up students knowledge of handling identities and equating coefficients. It starts with 6 quick fire questions on expanding and simplifying single and double brackets and one complete the square question. Then the definitions of an equation and identity are there for discussion. This leads to students having to identify the equations and identities. Following this is two examples of show that this is an identity. One single bracket and one double bracket. Then there is an interactive pairing activity where students need to come to the board and select two cards. If they could be an identity leave them turned over, if not turn them back over and start again. (Snap) Following this is two examples of equating coefficients. One single bracket and one double bracket. Leading into a tick or trash activity where misconceptions can be discussed. The resource then in includes a differentiated focused activity which progressively gets harder. This gives students a chance to master and enhance their skills. It includes 5 separate sections a skill 1, 2 & 3 and a stretch. These are all displayed on the same slide for ease of use. Then to finish there is an application on how this could be seen in an exam situation with 2 exam style questions including answers. I hope you find this resource as useful as my students have. Miss B

By MissBsResources

Algebraic Expression Lesson Bundle

Algebraic Expression Lesson Bundle

This bundle includes three whole lessons Including: 1) Forming Algebraic Expression - Words & Shapes 2) Simplifying Algebraic Expression by Collecting Like Terms 3) Substitution into Algebraic Expressions Each resource includes; - Answers -starter activities -Fully modelled examples -Differentiated questions -Challenges -Quizzing activities to help with misconceptions -Examination style questions -Minimal Printing -Plus lots more teaching resources

By MissBsResources

Catchphrase - Algebraic Expressions Quiz Bundle

Catchphrase - Algebraic Expressions Quiz Bundle

Answers and catchphrases are provided. This activity includes 3 catchphrase activities for: 1) Simplifying Algebraic Expressions By Collecting Like Terms 2) Forming Algebraic Expressions 3) Substituting into Algebraic Expressions and Formulae I sometimes change the image below to a picture of famous person to add more variation to the game. Students either as individuals or small groups answers questions to reveal part of an image. The more questions the students answer the more of the image is revealed. The winner is the person who manages to say what they see and guess the catch phrase. I’ve included the answer to each catchphrase in the notes box, as well as answers on the second page.

By MissBsResources

Catchphrase - Substituting into Algebraic Expressions and Formulae Quiz with Answers

Catchphrase - Substituting into Algebraic Expressions and Formulae Quiz with Answers

Catchphrase quizzing activity on substituting into algebraic expressions and formulae. Answers and catchphrase are provided. (Available in bundle of three catchphrases) I sometimes change the image below to a picture of famous person to add more variation to the game. Students either as individuals or small groups answers questions to reveal part of an image. The more questions the students answer the more of the image is revealed. The winner is the person who manages to say what they see and guess the catch phrase. I’ve included the answer to each catchphrase in the notes box, as well as answers on the second page.

By MissBsResources