EngageNY
Applications of the Pythagorean Theorem
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 to...
EngageNY
Ptolemy's Theorem
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.
Curated OER
Wind Effects on Model Building: Pre-Lab for Truss Design and Testing
Emerging engineers perform pre-lab calculations in this first of a three-part lesson on model building. They determine the forces of tension and compression in a truss. After completion of the worksheet, pupils will draw a draft of their...
5280 Math
Pythagorean Triples
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
Curated OER
The Luxor - Pyramids, Surface Area & Volume
Students investigate the surface area and volume of the Luxor Hotel in Las Vegas. They calculate the slant height, lateral edge, and diagonal length of the base. Using this information, students explore other areas of the hotel, such as...
Texas Instruments
The Leaning Tower of Pisa
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...
Curated OER
Angles in Standard Positions
Students identify positive and negative angles using the Unit Circle. In this pre-calculus instructional activity, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a...
Curated OER
Understanding Fundamental Trigonometric Identities
Young scholars are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also...
Curated OER
The Sine and Cosine Ratios
In this geometry worksheet, 10th graders write the ratio that represents the sine and cosine of the indicated angle. The one page worksheet contains two multiple choice questions. Answers are included.
Curated OER
This Building is Tall
Learners calculate the perimeter of shapes. In this geometry lesson, students relate properties of polygons to the real world. They find length, midpoint and slope.
Curated OER
Getting Triggy With It
The concept of sine and cosine is explored in this lesson where students graph sine and cosine graphs using a transformation application on the graphing calculator. Students change the coefficients for the amplitude, period, frequency,...
Curated OER
Name That Tune: Matching Musical Tones Through Waveform Analysis
Pupils detect the waveform of musical notes to determine the code for the "safe" in this forensics simulation lesson. They use a microphone and tuning forks along with Vernier EasyData on their graphing calculator to analyze five musical...
Curated OER
Reference Angles
Learn how to measure the reference angles in degrees and radians. Students find reference angles that are coterminal with a given angle.
Curated OER
Measuring Angles
Third graders describe an amount of turn from a particular position to another using the 'circular' benchmarks of 0, ++, ++, ++, and full turn. Estimation language such as 'just about', 'between', 'not quite', 'just over', and similar...