Curated OER
As the Bird Flies
Young scholars investigate the properties of lines and congruent triangle theorems as well as apply geometric properties and relationships to real-world mathematical problems. Given two different scenarios, they examine maps that have...
Curated OER
Distance in Coordinate Geometry
Students analyze distance and graphing. In this geometry lesson, students work problems on a coordinate grid calculating the distance. They apply the Pythagorean Theorem to their data and answer.
Curated OER
Quadratic and Linear Functions
In this Algebra II worksheet, 11th graders review and apply the basic concepts for solving linear and quadratic equation. The one page worksheet contains twelve problems. Solutions are not provided.
Curated OER
Angles, Parallel Lines, and Polygons
Students examine how to investigate polygons using an instrument of their own construction. They should be able to prove the general formula for the number of degrees in any polygon (including a triangle). Finally they investigate an...
5280 Math
Triangle Area Patterns
Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that helps...
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...
Illustrative Mathematics
Equal Area Triangles on the Same Base II
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
EngageNY
Unknown Length and Area Problems
What is an annulus? Pupils first learn about how to create an annulus, then consider how to find the area of such shapes. They then complete a problem set on arc length and areas of sectors.
EngageNY
Counting Rules—The Fundamental Counting Principle and Permutations
Count the benefits of using the resource. The second installment of a 21-part module focuses on the fundamental counting principle to determine the number of outcomes in a sample space. It formalizes concepts of permutations and...
Illustrative Mathematics
Dilating a Line
High School geometers verify through experimentation certain properties about dilations. This multi-step problem challenges them to construct examples of dilations to verify specific facts, the final step provides an opportunity to more...
Curated OER
"Adding It Up" at James Fort
Young scholars discuss jettons and their archaeological importance at Jamestown. They then practice using historic counting sheets and artifacts to understand the calculating methods of the early 17th Century, and identify their...
Curated OER
Applications of Parabolas
In this algebra worksheet, 11th graders rewrite word problems using algebraic symbols. They relate parabolas to the real world and calculate the breaking distance using the distance formula they come up with. There is answer key.
Curated OER
Our Geometic World
Students walk around the neighborhood and identify various polygons and lines in buildings, nature and other objects. They design a building using various geometric patterns, shapes and lines. Students complete a descriptive writing of...
Curated OER
Geometry: Lesson 8
Eighth graders engage in a lesson that is concerned with the finding of angles that are found in different two dimensional figures. They compare and contrast exterior and interior angles while also determining the unknown measures of...
Curated OER
Learning by Logic - Total Surface Area
Geometers calculate the area of plane surfaces using the formulas for the area of a square, rectangle, and triangle. They develop the formula for calculating the total surface area of two geometric solids: the cube and rectangular prism.
Curated OER
Introduction to Conics
Just exactly where does the name conic come from? This brief hands-on exploration explains it all. Have your class cut cones to create their own conics, then assess their understanding with a few identification problems. Consider making...
Curated OER
Prairie Adaptations
Twelfth graders consider the survival of prairie plants. They examine how some tallgrass prairie species are adapted to the conditions of their ecosystem. They make a prediction of how a species might change given new conditions.
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: Lesson 1: Points, Lines, Segments, Angles
Fourth graders examine the concepts of, draw, and label points, lines, segments, and angles, They draw, label, and identify horizontal, vertical, intersecting, parallel, and perpendicular lines. They complete an associated worksheet that...
Curated OER
Plain Figures And Measuring Figures
Seventh graders investigate the mathematical concept of a sector. They apply the concept to an example problem and then move into a more complex application. They find the area of the side of a cone. This is done as students calculate...
Curated OER
Algebra/Geometry Institute: Area of Polygons
Students find the area of polygons. In this area of polygons lesson, students find the area of parallelograms, rectangles, squares, and other polygons. They identify each given figure and determine the appropriate formula needed to...
Curated OER
Family Activity: Triangles and Quadrilaterals
In this triangles and quadrilaterals worksheet, students solve 7 short answer problems. Students find objects around the house that are constructed from triangles, parallelograms, trapezoids, squares, rectangles. Students sketch the...
Curated OER
How Far Am I Traveling
Students solve for missing sides using the Pythagorean theorem. In this algebra lesson, students derive the six trigonometric values using the right triangle. They relate the Pythagorean theorem to the distance formula.
Curated OER
Pyramids
In this Geometry worksheet, 10th graders solve problems involving the properties of a regular pyramid. The two page worksheet contains a combination of seven multiple choice and free response questions. Answers are included.