1. Resources Home
  2. Middle School
  3. Math
  4. Geometry and measures
  5. Basic trigonometry
Trigonometry in Right Triangles

Trigonometry in Right Triangles

9-1 Lesson applying trigonometry to right triangles. Starter reviews trig functions. Questions using trig in rectangles, isosceles triangles, angles of elevation & depression, problem solving. Worked examples, questions - full answers provided.
jchowell
Non-right angled trigonometry

Non-right angled trigonometry

Lessons including Sine Rule, Cosine Rule and Area of a Triangle, pinched from a range of other places. Including exit tickets and ABCD checkpoints throughout. Teacher copy has all answers included (please excuse any errors!) - student version has answers and assessment points removed.
coltman_rob
Using Trigonometry and Similar triangles to find the distance of the stars and diameter of the Sun

Using Trigonometry and Similar triangles to find the distance of the stars and diameter of the Sun

A worksheet taking students through the parallax method of finding the distance to stars using SOHCAHTOA trigonometry and then an additional task on using similar triangles to find the diameter of the Sun. Suitable for Y9 classes onwards. The idea inspired by the nice resource from Greenwich Observatory: https://www.tes.com/teaching-resource/measuring-the-universe-ks4-11198074 - from which I used a couple of pictures. Check out this resource as well for some more ideas.
andrewchambers
SOHCAHTOA

SOHCAHTOA

Covers SOHCAHTOA for finding angles and sides in right-angled triangles, as well as trigonometric ratios and their graphs. Plus a GSP file to show the trig ratios changing dynamically.
danwalker
Trigonometry to find missing angles in a right-angled triangle

Trigonometry to find missing angles in a right-angled triangle

Full lesson powerpoint presentation working through how to find missing angles in a right-angled triangle. It would work well as an introduction to using trig to find missing angles in a right-angled triangle. Examples are worked through and it clearly shows the layout of how to set out an answer. There are fully differentiated worksheets with answers and these include GCSE-style questions. Please review! Feedback would be much appreciated.
pacallara
Christmas Trigonome-tree & some Mince Pie-thagoras

Christmas Trigonome-tree & some Mince Pie-thagoras

A festive trigonometry worksheet with over 40 calculations required, testing sine rule (including ambiguous case), cosine rule, and trig area of a triangle, plus a little Pythagoras. Find the missing sides and angles to find the height of the tree and size of the angle (or angel??) at the top of the tree. Created for my Year 11s, who wanted more practice at working out which trig rule to apply. A3 and A4 version of the puzzle available, plus answers. Some sides and angles may have different answers, depending on the route taken from bottom to top. I've provided two sets of answers where this can occur, and I believe that any differences disappear in subsequent calculations.
rfulker
Junior Geometry - Topics 1-10

Junior Geometry - Topics 1-10

Bringing together the 1st 10 of 20 Topics in the GetMathsFit Junior Geometry series. This is over 350 pages of worked exemplar, explanation, definition of meaning & concept, exercises and model solutions. The teaching is logical, sequential and thorough without the need to refer elsewhere. From an introduction to points, lines and angles students explore and learn further characteristics, physical skills and reasoning with plane figures, symmetry, parallel lines, Pythagoras, similarity, congruence and finally proofs and problem solving with angles and parallel lines. Use for in-class introductions, group work, plenaries and differentiation as well as a home self study, revision and reference resource.
GetMathsFit
Pythagoras Theorem (Topic 6): Worked examples, exercises & model solutions

Pythagoras Theorem (Topic 6): Worked examples, exercises & model solutions

Topic 6 of 20 in the Junior Geometry series demonstrates via a series of worked examples the core calculations of Pythagoras Theorem. Moving on to straightforward applications in 2D & 3D this is a self-contained stand alone resource for self-study and practice. The worked exemplars, exercise questions and model solutions make this a very handy plenary, homework or revision resource.
GetMathsFit
455 Maths revision sheets, 75 Feedback sheets, 11 Topic sheets, 60 Starters

455 Maths revision sheets, 75 Feedback sheets, 11 Topic sheets, 60 Starters

Visit https://www.maths-resources.co.uk to see thumbnail versions of the 455 revision sheets. 455 Maths revision sheets arranged broadly in order of difficulty. Suitable for Years 7 – 11. Wide range of topics covered. Very useful as homeworks. 75 of these have accompanying “Feedback” sheets, which give worked solutions to many of the questions. In many cases the next sheet has the same questions but using different numbers. Students can study their answers using the Feedback sheet and then aim to get a higher mark for the next sheet. Sheets often cover a range of topics, and the constant repetition has proved to be very effective in ensuring that material previously taught is not forgotten. Worksheets on Circles, Indices, Interior and Exterior Angles, Mean, Median, Mode and Range, Multiples, Factors and Prime Numbers, Percentages, Probability, Properties of Quadrilaterals, Ratio and Proportion, Straight Line Graphs and Tree Diagrams are provided by the 11 topic sheets. In many cases these sheets progress from simple recall questions through to more complex problems. The first 14 Starter sheets cover basic numeracy – addition and subtraction, times tables, negative numbers, fractions, square and cube numbers and simple percentages. After this, other topics are covered. Like the revision sheets, the Starter sheets are arranged broadly in order of difficulty. They are supplied as PowerPoint presentations and well as PDFs. Answers are provided for all the revision sheets, topic sheets and starters.
r_jones757