Curated OER
Robot Cartography
Students identify points plotted on the coordinate plane. In this geometry lesson, students learn to read a map using concepts of a coordinate plane grid. They find the path given a map to tell them where to go.
Curated OER
He Came Out Of Nowhere!
Students calculate the traveled speed and distance of a robot. In this geometry lesson, students use the distance formula to manipulate and use to solve for the required variable. They calculate answers where two variables are...
Curated OER
Perimeter and Area of Rectangles
Sixth graders solve for the area and perimeter. In this geometry instructional activity, 6th graders investigate polygons and use a formula to find the area and perimeter. They find the area and perimeter of various polygons.
Curated OER
Robot Area
Students calculate the area of different polygons. In this geometry lesson, students explore polygons based in their shape and number of sides. They find the formula for the area and use each specific formula for each shape.
Curated OER
Slit the Width
Students calculate the circumference and diameter of a circle. In this geometry lesson, students construct a circle and calculate the distance of different sizes of circles. They define the relationship between the diameter and the...
Curated OER
Who Let the Dogs Out?
Students calculate the perimeter and area of polygons. In this geometry lesson, students apply formulas of perimeter to solve geometric problems. They calculate the area of a dog fence and create ways to keep the dog in that area.
Curated OER
Coordinate Graphing
Learners practice basic coordinate graphing and plotting points on the coordinate axis. In this geometry lesson, students are introduced to ordered pairs, and the x and y axis.
Curated OER
Origami Cube
Students compare two lengths using the area of a square. For this geometry lesson, students solve problems using ratio and proportion of the two shapes. They solve equations by taking the square root of both sides.
Curated OER
Ratio
Students calculate the ratio and apply it to construction. In this geometry lesson, students convert between different units and use decimals and fractions interchangeable. They find the fraction of a given amount using the calculator.
Curated OER
Measuring Heights With Triangles
Students identify the different properties of triangles. In this geometry lesson, students differentiate between congruent and similar triangles. They use mathematical reasoning to solve word problems.
EngageNY
Properties of Tangents
You know about the tangent function, but what are tangent lines to a circle? Learners investigate properties of tangents through constructions. They determine that tangents are perpendicular to the radius at the point of tangency,...
EngageNY
Unknown Angle Proofs—Proofs with Constructions
Provide your emerging mathematicians with the tools to learn as they incorporate auxiliary lines to solve unknown angle proofs in this continuing segment. They decipher information from a diagram to uncover the missing pieces and...
EngageNY
The Inscribed Angle Alternate – A Tangent Angle
You know the Inscribed Angle Theorem and you know about tangent lines; now let's consider them together! Learners first explore angle measures when one of the rays of the angle is a tangent to a circle. They then apply their...
EngageNY
Construct an Equilateral Triangle (part 1)
Drawing circles isn't the only thing compasses are good for. In this first installment of a 36-part series, high schoolers learn how to draw equilateral triangles by investigating real-world situations, such as finding the location of a...
EngageNY
Special Relationships Within Right Triangles—Dividing into Two Similar Sub-Triangles
Why are right triangles so special? Pupils begin their study of right triangles by examining similar right triangles. Verifying through proofs, scholars recognize the three similar right triangles formed by drawing the altitude. Once...
EngageNY
The Definition of Sine, Cosine, and Tangent
Introduce your classes to a new world of mathematics. Pupils learn to call trigonometric ratios by their given names: sine, cosine, and tangent. They find ratios and use known ratios to discover missing sides of similar...
EngageNY
Trigonometry and the Pythagorean Theorem
Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...
EngageNY
Thales’ Theorem
Isn't paper pushing supposed to be boring? Learners attempt a paper-pushing puzzle to develop ideas about angles inscribed on a diameter of a circle. Learners then formalize Thales' theorem and use geometric properties to develop a proof...
EngageNY
Ptolemy's Theorem
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
EngageNY
Triangle Congruency Proofs (part 2)
Looking to challenge your students that have mastered basic triangle congruence proofs? A collection of proofs employ previously learned definitions, theorems, and properties. Pupils draw on their past experiences with proofs to...
EngageNY
What Is Area?
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and...
EngageNY
Motion Along a Line – Search Robots Again
We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...
EngageNY
Comparing the Ratio Method with the Parallel Method
Can you prove it? Lead your class through the development of the Side Splitter Theorem through proofs. Individuals connect the ratio and parallel method of dilation through an exploration of two proofs. After completing the proofs,...
EngageNY
Properties of Similarity Transformations
You can explain it, but can you do it? After learners view a sequence of transformations, the next logical step is creating the transformation. Challenge your classes to construct a composition of transformations and verify the...