Unit Plan
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EngageNY

Congruence, Proof, and Constructions

For Teachers 8th - 10th Standards
This amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs.  Each of the almost-forty lessons...
Lesson Plan
EngageNY

Construct a Nine-Point Circle

For Students 9th - 10th Standards
There are an infinite number of points on a circle; can you find nine of them? After putting together a nine-point circle, pupils use constructions and their knowledge of triangle segments to determine the center of the circle. Learners...
Lesson Plan
Curated OER

Constructing Quadrilaterals

For Teachers 9th - 12th Standards
High schoolers investigate quadrilateral construction in this geometry lesson. They use Cabri Jr. to construct the different quadrilaterals from the quadrilateral hierarchy given minimal definitions. The lesson reinforces the difference...
Lesson Plan
Curated OER

Geometry and Shapes

For Teachers 9th - 12th
High schoolers discuss and identify polygons and lines. In this geometry lesson, learners review liner, square and cubic units so they can incorporate it into the lesson on measurement and creating packing that are cost effective.
Lesson Plan
Curated OER

Inquiry Unit: Modeling Maximums and Minimums

For Teachers 8th - 12th
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and  plot width v. area on a...
Lesson Plan
EngageNY

Construct and Apply a Sequence of Rigid Motions

For Teachers 9th - 12th Standards
Breaking the rules is one thing, proving it is another! Learners expand on their previous understanding of congruence and apply a mathematical definition to transformations. They perform and identify a sequence of transformations and use...
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

Constructions Triangles

For Teachers 10th Standards
Learners explore the difference between a construction and a drawing. They focus on various ways to construct different types of triangles. The lesson is an application of Cabri Jr. and reinforces the difference between a constructions...
Lesson Plan
Curated OER

Construction Circles

For Teachers 9th - 12th Standards
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.
Assessment
Achieve

Framing a House

For Students 6th - 10th Standards
If members of your class wonder where they can use the math they learn in middle school, let them discover the answer. Learners apply geometry concepts of scale and measure to calculate the costs of framing a house addition.
Unit Plan
Buffalo State

Adding and Subtracting Integers Unit

For Teachers 6th - 7th Standards
Just because one integer is larger than another doesn't mean it will make sense right away. Go beyond note taking and show learners, through the use of algebra tiles and a Four-Pan Algebra Balance, how the numbers relate to one...
Activity2:31
Jim Noble, Richard Wade & Oliver Bowles

Pyramid Model

For Teachers 8th - 12th Standards
Seeking to derive the formula for the volume of a square pyramid, geometry learners construct six square based pyramids that, when pieced together properly, form a cube. Two short videos demonstrate the relationship...
Lesson Plan
Curated OER

Principles of Flight: Flying Paper Airplanes

For Teachers 4th - 5th
Students investigate ways to enhance an object's flying ability.  In this model construction lesson, students construct two paper airplanes, one of which is twice as big as the first.  Students compare and contrast the two...
Lesson Plan
Curated OER

Volume and Surface Area, A Sweet Activity

For Teachers 1st - 12th
Geometry.... sweet! Using sugar cubes, learners build rectangular prisms of different sizes and shapes. They glue them together and assess volume. Then they color the outer sides to visualize and compute surface area. To make a visceral...
Lesson Plan
Curated OER

Dream Bedroom Floor Plan

For Teachers 9th - 10th
Students construct using Cabri software. In this geometry instructional activity, students convert between units and apply the correct measurements to build objects. They create the room virtually and manipulate the shapes to the desired...
Lesson Plan
Curated OER

Cubic Unit Models

For Teachers 4th
Fourth graders find the volume of solids. In groups, 4th graders use spinners to determine the dimensions of solids. They construct the shapes, creating a model of the figure Students count the cubes in the model to determine the...
Lesson Plan
Curated OER

Unit Circle Triangle

For Teachers 11th - 12th
Students find the different ratios of a right triangle. In this geometry instructional activity, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios...
Lesson Plan
Curated OER

Discovering Conic Sections in the Motion of Heavenly Bodies

For Teachers 9th - 12th
Math scholars study conics and how they are used today. In this mathematical lesson, pupils construct and slice cones after viewing a demonstration. 
Lesson Plan
Curated OER

Proof of the Pythagorean Theorem Using Transformations

For Teachers 9th - 12th Standards
Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.
Lesson Plan
Curated OER

Scale factors: Ratios and Proportions

For Teachers 8th - 11th
Students create building and models using scale factors. In this geometry lesson, students apply the properties of ratio and proportion to solve problems. They identify the means and extremes property of cross multiplication.
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
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...
Lesson Plan
Teach Engineering

Discovering Relationships Between Side Length and Area

For Students 9th - 12th Standards
Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...
Lesson Plan
Curated OER

Finding the Area of an Equilateral Triangle

For Teachers 9th - 11th Standards
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
Activity
Teach Engineering

Catching the Perfect SAR Waves!

For Students 9th - 11th
Zero in on an interesting resource involving radar technology. Groups construct a radar sensing unit and learn to calibrate the system. Using the radar system and the Pythagorean Theorem, they calculate distances between objects.