Secondary maths collection

Welcome secondary maths teachers! Are you looking for quality assured resources, designed to make lesson planning easier? Spanning across multiple topics and key stages, this extensive collection, hand-picked by members of the Tes maths panel, is the perfect starting point...

Hand-picked by:

colm1405Jo MorganDaveGaleInteractive MathsCraig Barton

    Exact value of trigonometric ratios

    Lesson presentations and activities

    • This worksheet encourages students to become familiar with 'special triangles' to calculate exact trig values without a calculator. By focusing on multiples of 30, 45 and 60, it also helps students spot symmetry in graphs. I created this resources to introduce double angle formula/additonal formula. Answers attached :)

      • Finding exact values of cosx - discovery learning sheet.docx
      • Finding exact values of sinx - discovery learning sheet.docx
      • Finding exact values of tanx - discovery learning sheet.docx

      Reviews

      dubey3 years ago5

      Very nicely laid out. Really useful. Thanks

      TES Resource Team3 years ago5

      Thank you for publishing your resource. It has been selected to be featured in a new secondary maths collection.

      danwalker3 years ago5

      Very well thought out and presented.

    • Foundation tier now requires students to know the exact values in surd form of specific angles.
      A simple and clear illustration of how to derive these values, and the values themselves.
      Easy to use in the classroom, or print slides for crib sheets for learners.
      The specs require:
      '•know the exact values of sin θ and cos θ for θ = 0°, 30°, 45°, 60° and 90°
      •know the exact value of tan θ for θ = 0°, 30°, 45° and 60 '
      Includes a recap of the trig functions and Pythagoras, and the graphs of each function to show values at zero and ninety degrees, plus showing that tan 90 does not exist.
      Plus an activity to use the above values in sin and cos sum and difference formulas, giving practice in manipulating surds for higher candidates, and an extension to use the addition and subtraction formula for tangent.
      Hence entirely suitable for A'level pure mathematics, and recap of GCSE knowledge and skills.
      If you like this, try my big bundle of material on surds for £3. https://www.tes.com/teaching-resource/maths-gcse-working-with-surds-huge-bundle-of-stuff-11551032

      • exact-values-of-sin-cos-tan.docx
      • exact-values-of-sin-cos-tan.pdf
      • trig-values-questions.pptx
      • Surds-in-trigonometry.pptx

      Reviews

      Judy087a year ago5

      Perfect ! thanks you. Teaching this on ZOOM this evening . Really like this method.

      rebeccajarya year ago5

      Thank you! Exactly what I needed.

      naoshinhaque25a year ago5

    • This lesson is for practicing using exact trig values as will be expected in the new GCSE
      (it has some harder extension questions available to stretch pupils who require it). There are some quick fire questions to start in order to see who has memorised them and identify the methods that they use. This is after a lesson which focussed on how to find the value (using shapes and the finger method). The codebreaker I have attached is a resource I found on TES and therefore I take no credit for it.

      • Using-Exact-Trig-Values.pptx
      • Trigonometry-Exact-Values-CodeBreaker.pdf

      Reviews

      suzynessa year ago5

      Thank you for creating this! Really helpful :)

      Gimbletrona year ago4

      Hats off to Miss Brookes for incorporating a clever code-breaker!
      Perhaps a couple of questions giving 2 sides to find the angle would be good?

      dibdab67a year ago5

      So so so good :)

    • Full lesson on finding and using the 3 trigonometric ratios that has been added to the new GCSE Maths specification.

      Follow us on twitter for access to Google drive and first downloads on resources and lessons

      @weteach_maths

      Visit weteachmaths.co.uk for

      - Lessons and worksheets suitable for the 9 - 1 GCSE Specification
      - A-Level teaching resources for Core 1, Core 2, Core 3, Core 4, Decision 1 and Statistics 1
      - Teaching resources for Level 3 Core Mathematics
      - Schemes of work for Higher and Foundation GCSE Maths (adapted for the 9 - 1 specification)
      - Topic tests for GCSE Maths and A-Level Maths
      - Support for the teaching and coursework in GCSE Statistics

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      • Finding-the-trigonometric-ratios.pptx

      Reviews

      londonsecondary2 years ago5

      nazish_khaalid3 years ago5

      Thank you for sharing :)

      TES Resource Team3 years ago5

      Thank you for publishing your resource. It has been selected to be featured in a new secondary maths collection.

    • PowerPoint and worksheet explaining where special trig ratios come from. I created these for use with my Y11 class who are taking Level 2 Certificate in Further Maths. To print of worksheet, must click 'print to scale'.

      • Angles of 30, 60 and 45 degrees.pptx
      • Triangles of 30,45 and 60 degrees proofs.pptx

      Reviews

      londonsecondary2 years ago5

      TES Resource Team3 years ago5

      Thank you for publishing your resource. It has been selected to be featured in a new secondary maths collection.

      anjalehmann4 years ago4

      Good animated powerpoint with diagrams to introduce how to derive exact trig values. Could easily by adapted to needs.

    Practice questions, homeworks and assessments

    • Just a quick starter/plenary on exact results from trigonometry. The usual lame joke is the answer.

      • Exact-Trigonometric-Results-Codebreaker---Answers.docx
      • Exact-Trigonometric-Results-Codebreaker.docx

      Reviews

      kooldude2 months ago5

      Thank you for sharing.

      jglra year ago5

      TES Resource Team3 years ago5

      Thank you for publishing your resource. It has been selected to be featured in a new secondary maths collection.

    • Worksheet which requires students to know the common trig values (sin/cos/tan 0/30/45/60/90) and simplify expressions involving them, giving their answer in simplified surd form. Eg, 12tan30 - 4sin60
      Answers included.

      • Exact-trig-values.docx

      Reviews

      TES Resource Team3 years ago5

      Thank you for publishing your resource. It has been selected to be featured in a new secondary maths collection.

      segeroyal3 years ago4

      owenelton3 years ago4

      A handy question sheet with full solutions. Thanks for sharing.

    • Demonstrates exact trig values ~ includes a boarding card to assess understanding of surds.
      The worksheets come from the fabulous http://donsteward.blogspot.co.uk/ and http://www.missbrookesmaths.com/

      • 00-exact-trig-values-v2-.pptx

      Reviews

      Ninz2 months ago5

      What a lovely powerpoint to introduce this topic. Clear and concise, and just what I needed.

      Katherine Mooney4 months ago5

      Nice and clear and lots of questions

      samantha_jane15 months ago4

      Wonderful - just what I needed. Wanted to introduce exact values without confusing them with a unit circle. Thanks a lot.

    • A poster with a table of exact values for sin, cos and tan at 0, 30, 45, 60 and 90 degrees. This could be useful for young people doing higher mathematics in Scotland. Both documents contain the same content.

      • Table of Exact Values  of Trig. Functions.docx
      • Table of Exact Values  of Trig. Functions.pdf

      Reviews

      choca2 years ago5

      larawhitmoree2 years ago5

      dkite13 years ago5

      Just what i needed.