West Contra Costa Unified School District
Introduction to Trigonometric Functions
Scholars first learn the definitions of the sine ratio, the cosine ratio, and the tangent ratio. After mastering these definitions, they use the new information to solve triangles.
Curated OER
T Points from Directions
Here is a activity that starts with having geometers translate points using compass directions into an accurate picture of the problem. Then they must use their knowledge of the Pythagorean theorem or similar triangles to solve. This...
CK-12 Foundation
Identifying Sets of Pythagorean Triples: The iPad is a Pythagorean Triple
Compare iPad and HDTV aspect ratios. Individuals use the interactive to determine whether the measurements of screens represent a Pythagorean triple. The pupils determine what changes are needed to make a Pythagorean triple.
Curated OER
Amazing Consistent Ratios
Students derive the six trigonometric identities. In this trigonometry lesson, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig identities.
Curated OER
Proofs of the Pythagorean Theorem
Working individually and collaboratively, geometers gain a clear understanding of the Pythagorean theorem. They create, explain, and compare proofs of the theorem. Proofs involve areas of trapezoids, squares, and triangles, congruent...
EngageNY
Law of Cosines
Build upon the Pythagorean Theorem with the Law of Cosines. The 10th part of a 16-part series introduces the Law of Cosines. Class members use the the geometric representation of the Pythagorean Theorem to develop a proof of the Law of...
EngageNY
Definition and Properties of Volume
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder.
Alabama Learning Exchange
Trapezoids: What's Equal or Right About Them?
Pupils explore the concept of trapezoids. In this trapezoids instructional activity, students identify legs and bases of a trapezoid. Pupils discuss the similarities and differences between isosceles trapezoids and right trapezoids. ...
Curated OER
Trigonometry Ratios
Young scholars identify the different angles and sides of a triangle. In this geometry lesson, students identify the six trigonometric ratios. They graph the graph of each trig function and analyze it.
El Paso Community College
Geometry Definitions
Geometry is full of shapes, figures, and corresponding things here and there. The guide shares all of the key pieces of geometric information in a nicely color-coded and labeled sheet.
Curated OER
Side Splitter Triangles
Students investigate the side splitter theorem. In this geometry instructional activity, students estimate and solve problems dealing with ratios and proportions. They identify angles created by lines that are parallel.
Mathematics Assessment Project
Modeling Motion: Rolling Cups
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup measurements...
Mathematics Assessment Project
Solving Quadratic Equations
Scholars first complete an individual assignment using a quadratic equation to model the movement of a bus around a corner. Learners then discuss their solutions with classmates and analyze the provided sample responses.
Curated OER
Transformations and Congruence
In this transformations and congruence worksheet, 10th graders solve and complete 5 different types of problems. First, they calculate the length of a line giving their answer in 3 significant figures. Then, students prove that two...
Curated OER
Scale Factor Area Perimeter
Mathematicians compare triangles at different scales. In this geometry instructional activity, learners calculate the area and perimeter of triangles. They use the Ti to make observation of the change that takes place as the triangles...
Curated OER
Archeologist Frieze Patterns
Learners construct frieze patterns using translations and rotations. They will discuss how frieze patterns are similar to jigsaw puzzles and use Cabri Jr. to build a triangle frieze pattern using rotations, translations, and reflections.
Curated OER
Origami Frogs
Ninth graders explore a variety of geometry and science concept while making an origami frog. The fold paper into the shape of a frog and conduct measurement activities including frog leaps.
Curated OER
Reflections
Students investigate image and pre-image. In this geometry lesson, students identify the reflection and rotation of different shape on a coordinate plane. They identify similarities and differences of image and pre-image of a reflection.
Curated OER
Investigating Scale Factors with the Geometer's Sketchpad
Students use Geometer's Sketchpad to examine the scale factor when in is applied to the length of a figure's sides. They look at how the scale factor affects the side lengths, perimeter, and area of the figure that result. They work with...
Mathalicious
XBOX Xpotential
Touchdown! This is an exponentially insightful lesson that explores the growth of football games with different video game consoles. Class members discuss whether the increase of mergahertz can be described as linear or exponential. The...
Mathalicious
Out of Left Field
A baseball trajectory and a parabola seem to make the best pair in real-world quadratic applications. Here is a current baseball resource with questions, discussions, and explorations regarding a quadratic function and home run...
Virginia Department of Education
High School Mathematics Geometry Vocabulary Word Wall Cards
Having a good working knowledge of math vocabulary is especially important for geometry learners. Here are 119 pages worth of wonderfully constructed definitions, constructions, formulas, properties, theorems, and postulates. This is a...
Virginia Department of Education
Middle School Mathematics Vocabulary Word Wall Cards
Having a good working knowledge of math vocabulary is so important for learners as they progress through different levels of mathematical learning. Here is 125 pages worth of wonderfully constructed vocabulary and concept review cards....
EngageNY
Criterion for Perpendicularity
The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their endpoints and...