Curated OER
Applied Trigonometry Problems Day 2
In this geometry instructional activity, students apply right triangle trigonometry to find missing distances or angles in real life examples involving angles of depression or elevation. The four page instructional activity contains...
Curated OER
Geometry for the Technologies
Pupils discover how to use various tools to measure and draw angles. With protractors, they classify angles according to angle measure, identify vertical angles, and perform angle additions. For their final project, students create...
Curated OER
Transformations: Rotation
In this rotations worksheet, 10th graders solve and complete 10 different problems that include measuring various types of transformations of geometry. First, they determine the measure of an angle between two pointers. Then, students...
Curated OER
Measurement Investigations 2
Students complete a number of practical measuring investigations, with an emphasis on accuracy of measuring and communication of their findings. They examine how to measure by first becoming aware of the physical attributes of objects...
Curated OER
Measurement Investigations 1
Fifth graders find perimeters, areas, and volumes of everyday objects and state the precision. They work in small groups in order to take measurements, perform calculations, and write a group report about the investigation.
Curated OER
Protractor #4
In this angles instructional activity, students measure and label angles as either acute, right, obtuse or straight. A reference web site is given for additional activities.
Kim Brassard
Solving Right Triangles
Solve that triangle! Your class examines angles and side measurements on 20 right triangles to determine the missing measurements. For some, they are given two sides while for others, they are given an angle and a side.
Curated OER
Sine, Cosine, and Tangent Ratios
In this ratios worksheet, 11th graders solve and complete 8 various types of problems. First, they read each problems and draw a sketch for each. Then, students write a trigonometric ratio for each problem and round any decimal answers...
Curated OER
Estimation Task
Upper graders practice their estimation skills by observing different objects then making their best guess without using measuring instruments. Students are asked to estimate mass, length, volume, and area.
Curated OER
Triangles Inscribed in a Circle
Are you tired of answers without understanding? Learners can give a correct response, but do they really understand the concept? Have young mathematicians think deeper about linear functions, angles, and formulas in algebra....
EngageNY
The Angle-Angle (AA) Criterion for Two Triangles to Be Similar
What do you need to prove triangles are similar? Learners answer this question through a construction exploration. Once they establish the criteria, they use the congruence and proportionality properties of similar objects to find...
EngageNY
Using Trigonometry to Find Side Lengths of an Acute Triangle
Not all triangles are right! Pupils learn to tackle non-right triangles using the Law of Sines and Law of Cosines. After using the two laws, they then apply them to word problems.
Flipped Math
Unit Circle and Radians
Measure angles is easy as pi. Pupils review special right triangles to find exact values for trigonometric functions. Scholars learn about radians and how they connect to measurements in degrees. They find exact and approximate values of...
EngageNY
The Side-Angle-Side (SAS) and Side-Side-Side (SSS) Criteria for Two Triangles to Be Similar
Playing with mathematics can invoke curiosity and excitement. As pupils construct triangles with given criteria, they determine the necessary requirements to support similarity. After determining the criteria, they practice...
CK-12 Foundation
Pythagorean Theorem for Solving Right Triangles: Solving the Triangle
Observe the change in the trigonometric ratios as angles vary. An interactive provides the values of trigonometric ratios for both acute angles in a right triangle. Pupils create a right triangle to match given criteria and find the...
Flipped Math
Tangents to Circles
Touch a circle once. Individuals watch a video and learn two theorems related to tangents and circles. The pupils then apply the theorems to find missing angle measures and lengths in figures. At the end, they practice their skills on...
PHET
Bending Light
Different colors of the spectrum travel at different speeds through media, causing them to refract at different angles—which allows humans to see their colors. Through a simulation, pupils see how air, water, and other media bend light....
CK-12 Foundation
Portrait Gallery
An interactive lesson explores the effect of force angles on resulting forces. Learners adjust angles of strings supporting hanging portraits and watch the effects on the resultant force. Vector diagrams provide a visual representation...
Radford University
Georgia Peaches and California Dreamin’
Plant the fruits of trigonometry. Pairs work through the process of finding the best place to plant fruit trees on a piece of property. The scholars must take into consideration the location of the property and the solar zenith angle. To...
EngageNY
Addition and Subtraction Formulas 1
Show budding mathematicans how to find the sine of pi over 12. The third instructional activity in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using...
McGraw Hill
Gravity Variations Interactive
What would a baseball game look like on the moon? Probably a lot of home runs! A creative activity explores the motion of a projectile on the surface of different bodies in the solar system. Participants adjust the angle and...
Curated OER
ndirect Measurement Technique: Using Trigonometric Ratios
Ninth graders find the height of an object that would be difficult or impossible to measure directly. They construct and use a Clinometer to measure the angle of elevation (or depression). Students create a sketch of the measurement...
Curated OER
Determining Angle Measurements
In this angle measurement instructional activity, learners write either 90, 180, 270 or 360 degrees as the correct measurement for given angles. A reference web site is given for additional activities.
Curated OER
Identify Triangles: Acute, Right, Obtuse, Straight
In this triangles learning exercise, students draw angles with given measurements and identify each as either acute, right, obtuse or straight. A reference web site is given for additional activities.