Worksheet
Curated OER

Law of Sines and Law of Cosines

For Students 11th - 12th
For this Pre-calculus/Trigonometry worksheet, students use the laws of sines and cosines to solve triangles. The four page worksheet contains thirteen problems. Answers are not included.
Lesson Plan
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Curated OER

The Unit Circle

For Teachers 9th - 11th Standards
Students solve problems using the unit circle. In this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
Lesson Plan
Curated OER

How are Trig Ratios Used to Measure Triangle Sides

For Teachers 8th - 11th
Students identify the ratios of trig identities. In this geometry lesson, students solve the missing sides and angles of triangles using trig ratios. They relate the graphs and waves to real life scenarios.
Lesson Plan
Curated OER

The Laws of Sines and Cosines Made Simple!

For Teachers 10th - 12th
Students explore the concept of law of sines and cosines. For this law of sines and cosines lesson, students construct a triangle tool from card stock and markers. Students use their triangle tool to aid in solving problems involving...
Lesson Plan
Curated OER

Law of Cosines Practice

For Teachers 8th - 10th
Students practice solving problems with non-right triangles. In this precalculus lesson, students define and identify the properties of the Law of Cosine. They solve problems and investigate the history behind Cosine.
Lesson Plan
Curated OER

Law of Sines

For Teachers 9th - 12th
Students identify the ratios of a right triangle. In this calculus instructional activity, students use the law of sines to solve problems involving non-right triangles. They identify the different parts of a triangle.
Lesson Plan
Curated OER

Trigonometric Graphing

For Teachers 9th - 12th
Students analyze graphs. In this trigonometric instructional activity, students identify the different graphs of sine, cosine and tangent. They graph the inverse of those trig values and identify their properties such as phase shift and...
Lesson Plan
Texas Instruments

The Leaning Tower of Pisa

For Teachers 9th - 12th Standards
Learners estimate the equation of a line, angle of elevation and depression in this math lesson. They analyze e famous landmark design and make connections to algebra and geometry. They will also generate an equation, model the x and y...
Lesson Plan
Curated OER

Triangle Inequality Theorem

For Teachers 8th - 10th
Students use the inequality theorem to solve triangles and their properties. In this geometry lesson, students are given spaghetti of different lengths and asked to create triangles. They conclude the necessary length needed to make a...
Lesson Plan
EngageNY

Ferris Wheels—Tracking the Height of a Passenger Car

For Students 10th - 12th Standards
Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.
Lesson Plan
EngageNY

Between-Figure and Within-Figure Ratios

For Teachers 9th - 10th Standards
Tie the unit together and see concepts click in your young mathematicians' minds. Scholars apply the properties of similar triangles to find heights of objects. They concentrate on the proportions built with known measures and solve to...
Lesson Plan
EngageNY

Ptolemy's Theorem

For Teachers 9th - 12th Standards
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
Lesson Plan
EngageNY

Applications of the Pythagorean Theorem

For Students 8th Standards
Examine the application of the Pythagorean Theorem in problem-solving questions. Pupils apply the theorem to find lengths when given different scenarios. They finish the 17th installment in an 18-part series by applying the theorem...
Unit Plan
Radford University

The Puppy’s Empire

For Teachers 9th - 12th Standards
Dogs can't do math ... but people sure can! A set of five lessons has scholars apply math concepts to solve problems related to buying a new dog, such as designing a fence and a dog house, estimating how large the dog will become, and...
Lesson Plan
Curated OER

The Laws of Sines and Cosines Made Simple!

For Teachers 10th - 12th
Students study the law of sine and cosine. For this pre-calculus lesson, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.
Lesson Plan
Curated OER

Solar System Hall Model

For Teachers 6th - 8th
Not novel, but fun, this lesson gets your space science learners to model the size of the planets and the solar system along your school's hallway. Scaled measurements as well as actual distances are provided for both planet diameters...
Lesson Plan
Curated OER

Adding and Subtracting Algebraic Expressions (Combining Like Terms)

For Teachers 6th - 7th
Everyone loves math when it includes food! This lesson tries to take the notion of combining like terms in algebra and comparing it to sorting apples and oranges. It takes a step-by-step approach to helping young scholars understand this...
Lesson Plan
Curated OER

Using Technology to Represent Mathematical Identities

For Teachers 11th - Higher Ed
Students explore the concept of trig identities. In this trig identity lesson, students use Mathematica to graph trig identities. Students see the trig identities graphically and enforce the notion that two trig functions can be equivalent.
Lesson Plan
Curated OER

Small Angle Calculations

For Teachers 4th - 7th
Students work with circles, angles and estimating angles in the night sky. For this circles and angles lesson, students practice measuring a degree using the circumference of a circle and apply the degree to determine a way to use their...
Lesson Plan
Curated OER

Law of Cosines Word Problem

For Teachers 10th - 11th
Students solve problems using the law of cosines. In this precalculus lesson, students meet different criteria as they solve problems. They apply the formula for cosines to solve word problems.
Lesson Plan
Curated OER

Limits Of Trigonometric Functions

For Teachers 11th - Higher Ed
Students engage in a lesson plan that is about computing the limits of trigonometric functions. They practice computing the functions of sin, cos, and sin to find the missing values related to triangles. Students also calculate the...
Lesson Plan
Curated OER

Navigating by the Numbers

For Teachers 6th - 8th
Students observe how math is important in navigation and engineering. They study how surveyors use math and science to calcute, count, measure, label, and indicate distances on a map. They estimate specific distances.
Lesson Plan
Curated OER

Inverse Trigonometric Functions (Review)

For Teachers 9th - 12th
Students investigate the concepts related to inverse trigonometric functions and then review the graphs for the inverse. They apply the functions using the context of the example problems provided in the lesson. The lesson includes...
Lesson Plan
Curated OER

Triangles & Congruence, Proportions & Similarity, Right Triangle & Trigonometry

For Teachers 9th - 12th
Students are introduced to the topic of congruence and proportions in Geometry. Using technology, they construct and validate the properties of various geometric figures and identify whether it is congruent or proportion to the objects...