Lesson Plan
EngageNY

Perimeter and Area of Polygonal Regions in the Cartesian Plane

For Students 9th - 12th Standards
How many sides does that polygon have? Building directly from lesson number eight in this series, learners now find the area and perimeter of any polygon on the coordinate plane. They decompose the polygons into triangles and use Green's...
Lesson Plan
EngageNY

Searching a Region in the Plane

For Students 9th - 12th Standards
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Lesson Plan
Shodor Education Foundation

Pythagorean Theorem

For Teachers 8th - 10th Standards
Most adults remember learning about the Pythagorean theorem, but they don't all remember how to use it. The emphasis here is on developing an intuitive understanding of how and when to use the theorem. Young mathematicians explore...
Lesson Plan
EngageNY

Perimeter and Area of Polygonal Regions Defined by Systems of Inequalities

For Students 9th - 12th Standards
When algebra and geometry get together, good things happen! Given a system of inequalities that create a quadrilateral, learners graph and find vertices. They then use the vertices and Green's Theorem to find the area and perimeter of...
Lesson Plan
Curated OER

Getting It Right! An Investigation of the Pythagorean Theorem

For Teachers 6th - 8th
Learners construct a variety of right triangles using a right-angled set square, cutting corners from pieces of paper or cardboard, and using dynamic geometry software. They measure the sides of these various right triangles and record...
Lesson Plan
EngageNY

Distance on the Coordinate Plane

For Students 8th Standards
Apply the Pythagorean Theorem to coordinate geometry. Learners find the distance between two points on a coordinate plane by using the Pythagorean Theorem. The vertical and horizontal change creates a right triangle, which allows...
Lesson Plan
EngageNY

Segments That Meet at Right Angles

For Teachers 9th - 12th Standards
Can segments be considered perpendicular if they don't intersect? Learners look at nonintersecting segments on the coordinate plane and make conclusions about the lines that contain those segments. They determine if they are...
Lesson Plan
Alabama Learning Exchange

Coordinate Geometry

For Teachers 4th - 5th Standards
Where do the coordinates lead? As children brainstorm ways to find the location of different buildings, they learn about coordinate points and how to use them to locate areas on a grid or map. They practice using ordered pairs by playing...
Unit Plan
Mathematics Vision Project

Circles: A Geometric Perspective

For Teachers 10th - 12th Standards
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...
Lesson Plan
Curated OER

Geometry and Measurement

For Teachers 6th - 8th
Young scholars 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. Young scholars use pegboards and string to...
Lesson Plan
EngageNY

Writing the Equation for a Circle

For Teachers 9th - 12th Standards
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...
Lesson Plan
EngageNY

Criterion for Perpendicularity

For Students 9th - 12th Standards
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...
Lesson Plan
EngageNY

Lines That Pass Through Regions

For Students 9th - 12th Standards
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
Lesson Plan
Curated OER

Perpendicular Bisector Theorem

For Teachers 9th - 12th Standards
High schoolers construct perpendicular bisectors using Cabri Jr. on their graphing calculator. They then construct conditional statements about perpendicular bisectors along with their converse, inverse, and contrapositive.
Lesson Plan
Curated OER

Preparation and Transition to Two-Column Proofs

For Teachers 10th - 11th
Students investigate proofs used to solve geometric problems. In this geometry lesson plan, students read about the history behind early geometry and learn how to write proofs correctly using two columns. The define terminology valuable...
Lesson Plan
Bowland

Outbreak: Infection Detection

For Teachers 6th - 9th
Explore the mathematics of infection outbreaks with activities that ask learners to use coordinate grids to locate infected patients. They calculate amounts of ingredients for antidotes and determine which groups of people should be...
Lesson Plan
Curated OER

Pythagorean Theorem

For Teachers 7th - 12th
Students investigate the Pythagorean Theorem.  In this seventh through twelfth grade geometery instructional activity, students explore the Pythagorean Theorem and its converse and use it to find the length of the missing side...
Lesson Plan
Curated OER

Plain Figures and Measuring Figures

For Teachers 10th - 12th
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.      
Lesson Plan
Curated OER

Pythagorean Theorem

For Teachers 9th - 11th
Young scholars solve problems using the Pythagorean Theorem. In this geometry lesson, students identify the sides and angles of a right triangle. They find the different trigonometric ratios and solve using sine, cosine and tangent.
Lesson Plan
EngageNY

Are All Parabolas Congruent?

For Students 10th - 12th Standards
Augment a unit on parabolas with an instructive math activity. Pupils graph parabolas by examining the relationship between the focus and directrix. 
Lesson Plan
Curated OER

Similar Triangles on the Coordinate Plane

For Teachers 9th - 10th
Students investigate triangles and their properties. In this geometry lesson plan, students differentiate between similar and congruent triangles. They use the SSS theorem to help identify the triangles that are similar or congruent.
Lesson Plan
Curated OER

Cook Me Up Some Equations

For Teachers 7th - 12th
Learners study a variety of math concepts in the context of cooking up a meal. In this math lesson, students calculate surface area and volume. They draw and interpret different types of graphs.
Lesson Plan
Curated OER

Calculating Distances in Two and Three Dimensions

For Teachers 9th - 11th
Students use the Pythagorean Theorem to solve problems. In this geometry instructional activity, students solve for the distances by calculating the different parts of the shape of a two and three dimensional shape. They reason by analogy.
Activity
5280 Math

Triangle Area Patterns

For Teachers 8th - 10th Standards
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...