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EngageNY
Writing the Equation for a Circle
Circles aren't functions, so how is it possible to write the equation for a circle? Pupils first develop the equation of a circle through application of the Pythagorean Theorem. The lesson then provides an exercise set for learners to...
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
EngageNY
From Circle-ometry to Trigonometry
Can you use triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.
EngageNY
Construct a Square and a Nine-Point Circle
Anyone can draw a square, but can you CONSTRUCT a square? Here is a resource that challenges math scholars to create steps to finish their own construction. They test their ability to read and follow directions to complete a construction...
Curated OER
Construction Circles
Pupils investigate the number of points needed to determine a unique circle in a plane. Using Cabri Jr., they apply construction techniques to generate a circle that passes through a given number of points.
Curated OER
Equations of Circles
Using Cabri Jr. young scholars construct a circle and determine the equation of the circle they drew by finding the center and the radius. Students use the distance formula to derive the equation of their circle.
Curated OER
Geometry and Geoboard
Sixth graders use geoboards and dot paper to experiment with geometric concepts. In this geometry lesson, 6th graders complete four activities using geoboards or dot paper including naming points on a coordinate plan and finding the area...
Mathematics Vision Project
Module 5: Modeling with Geometry
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts...
Curated OER
Spherical Geometry: A Global Perspective
Learners investigate spherical geometry using a globe and an apple. In this spherical geometry lesson plan, students translate Euclidean geometry terms to spherical geometry terms using a globe. They answer 3 questions about spherical...
Curated OER
Exploring Area/Perimeter Through Coordinate Geometry
Students explore area and perimeter through coordinate geometry using student literature, hands-on manipulatives, and the Internet.
Mathematics TEKS Toolkit
Grade 6: Exploring c/d = pi
Introduce your math class to the perimeter of a circle. Teach them that pi describes the relationship between the circumference and the diameter. As a hands-on investigation, pairs or small groups use string to compare these two values...
EngageNY
How Do Dilations Map Lines, Rays, and Circles?
Applying a learned technique to a new type of problem is an important skill in mathematics. The lesson asks scholars to apply their understanding to analyze dilations of different figures. They make conjectures and conclusions to...
Curated OER
Circles
Tenth graders explore and define the radius and diameter of a circle. In this geometry activity, 10th graders calculate the circumference and area of a circle using real world objects and shapes. They discuss chords and lines...
Curated OER
Plain Figures and Measuring Figures
Students investigate basic geometric concepts. In this geometry lesson, students explore solids through measuring and modeling. This assignment models the importance of understanding concrete objects in geometry.
Curated OER
Compare 2-D Shapes
Second graders explore and analyze plane shapes. In this plane shapes lesson, 2nd graders evaluate shape attributes to classify shapes correctly. Students work in groups to create different shapes.
Curated OER
Geometric Probablitiy: Spinners and Dartboards
Sstudents explore and analyze the properties of geometric areas. In this geometry lesson, sstudents use technology to simulate spinners and dartboards in order to fing areas of circles and sectors of circles and compare and...
Curated OER
Unit Circle Triangle
Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
Curated OER
Angles in Standard Positions
Students identify positive and negative angles using the Unit Circle. In this pre-calculus lesson, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...
Curated OER
Geometry and Measurement
Students view a right triangle displayed by the teacher. Students measure legs and the interior angles of the triangle. They look for a pattern or relationship between the legs and angles. Students use pegboards and string to create more...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
EngageNY
Secant and the Co-Functions
Turn your class upside down as they explore the reciprocal functions. Scholars use the unit circle to develop the definition of the secant and cosecant functions. They analyze the domain, range, and end behavior of each function.
Curated OER
The Flat Earth
Students differentiate between different planes. In this geometry lesson, students differentiate between a plane and a sphere. They discuss the Great Circle, Geodesic and Lune as it relates to the earth.
Curated OER
Radius, Diameter and Area
Students identify the radius and diameter of a circle. In this geometry instructional activity, students calculate the volume and area of a cylinder and circle. They relate the circumference of a circle to Pi.
Curated OER
Shaping Up!
Kindergartners are introduced to basic shapes. Learners spend 45 minutes a day in geometry centers carrying out the activities outlined in this ambitious plan. There are games, hands-on activities, interactive websites, art projects,...