Curated OER
Explaining the equation for a circle
By first starting with an explicit example of a radius and center point, this challenging lesson tries to help students gain an understanding of the Pythagorean theorem and the equation of a circle. Once they have accomplished the first...
EngageNY
Cyclic Quadrilaterals
What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.
Mathematics Vision Project
Module 6: Trigonometric Functions
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Cornell University
Beam Focusing Using Lenses
Explore optics using an inquiry-based experimental approach! Young scholars use a set of materials to design and build a unit capable of focusing a beam of light. They experiment with different lenses to determine the best approach to...
Old Dominion University
Introduction to Calculus
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
Curated OER
Complex Distance
Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number concept....
Hotchalk
Triangle Sum Theorem
Your visual geometry learners will appreciate triangle drawings as they model the triangle sum theorem and algebraically solve to find the missing interior angle in a triangle. Practice problems increase in complexity and vary in their...
Illustrative Mathematics
Doctor's Appointment
Geometric volume calculations are brought into the real world in a quick set of application problems. Learners are asked to help a patient figure out how to drink a prescribed amount of water both at work and at home. This activity...
Illustrative Mathematics
Extensions, Bisections and Dissections in a Rectangle
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
Curated OER
Properties and Attributes of Polygons
In this geometry worksheet, 10th graders determine if a polygon is convex or concave and apply the polygon Angle sum theorem and the polygon exterior angle sum theorem to determine the measures of interior and exterior angles of a...
Oleh Yudin
iCrosss
Did you know that a soccer ball is very similar to a truncated icosahedron? Both have 32 faces, but while a truncated icosahedron is made up solely of flat hexagons, a traditional soccer ball has 12 pentagons and 20 hexagons, each curved...
Improving Measurement and Geometry in Elementary Schools
The Sum of the Interior Angles of a Polygon
Junior geometers discover that polygons can be decomposed into triangles and that the number of triangles can be determined by a rule. Note that the Geometer’s Sketchpad® software is required to carry out all components of this lesson.
Curated OER
Geometry and Tony Smith Sculpture
Young scholars respond to Tony Smith's sculpture as art and brainstorm about math concepts inherent in his work. They create a sculpture with polyhedra nets, calculate the cost of covering sculpture in gold, and write an exhibit label...
Curated OER
Determining Area
High schoolers conduct chemical experiments. In this chemistry lesson, they investigate reactions using the CBL system. Learners will graph and analyze their data using a TI.
Curated OER
Lines of Slope
In this lines of slope worksheet, 9th graders solve and complete 40 various types of problems. First, they find the equation of the lines described and write in slope-intercept form. Then, students graph each equation. They also find the...
Curated OER
Exploring Quadratic Equations
Eleventh graders explore quadratic equations. In this Algebra II instructional activity, 11th graders use Geometer’s Sketchpad to explore the properties of quadratics and the connections with polynomials and linear equations. The...
Curated OER
Geometry of Triangles Using a Protractor
Seventh graders use a protractor to measure angles and solve a problem involving distance. In this measuring angles with a protractor lesson plan, 7th graders calculate the distance of a line on a diagram by using a protractor to measure...
Curated OER
Geogebra Basics
Students identify basic geometric shapes using Geogebra. For this geometry lesson, students work on a laptop as they explore different geometric shapes. They calculate the area and perimeter of triangles.
Curated OER
Linear Functions
In this algebra learning exercise, students identify and label functions as linear or not. They find the domain and range of each function. There are 15 multiple choice questions.
Curated OER
Platonic Solids
Students identify different types of polygons. In this geometry lesson, students differentiate between convex and regular shapes. they identify the names of two and three-dimensional objects.
Curated OER
Graphs of Quadratic Equations
In this math worksheet, students solve the problems that ask for the graph of the parabola. They interpret the quadratic equation for its solutions.
Curated OER
Graphing Parabolas and Circles
Students graph parabolas and circles. For this algebra lesson, students create a table of values and graph the coordinate pairs to create a graph. They graph a circle using the radius and center.
Curated OER
Space Tiling with Captain Planet
Fifth graders Apply the symmetry and angle properties of polygons, using symmetry and angle properties of polygons to solve practical problems. They study tessellates and explain why a shape tessellates.
Curated OER
Parabolas
Students find equations of parabolas in real world scenarios. In this finding equations of parabolas in real world scenarios lesson, students find the equations of parabolas of US landmarks. Students put a grid on landmarks such as the...