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
Mid-Module Assessment Task: Grade 7 Mathematics Module 3
Lesson 16 in the series of 28 is a mid-module assessment. Learners simplify expressions, write and solve equations, and write and solve inequalities. Most questions begin as word problems adding a critical thinking component to the...
Curated OER
Amazing Consistent Ratios
Students derive the six trigonometric identities. In this trigonometry lesson, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig identities.
Curated OER
Seeing Shapes
Students study a variety of geometric shapes by taking pictures of items representing the shapes with a digital camera. They identify the shapes by using software to paint on the image.
Curated OER
Archeologist Frieze Patterns
Learners construct frieze patterns using translations and rotations. They will discuss how frieze patterns are similar to jigsaw puzzles and use Cabri Jr. to build a triangle frieze pattern using rotations, translations, and reflections.
Curated OER
An Application of Congruence
Students solve triangles using the properties if congruency. In this geometry lesson, students apply congruent and similar figures to solve real world and math problems. They show they are able to follow instructions.
Curated OER
Reflections
Students investigate image and pre-image. In this geometry lesson, students identify the reflection and rotation of different shape on a coordinate plane. They identify similarities and differences of image and pre-image of a reflection.
Curated OER
An Introductions to Congruent Polygons
Students differentiate between similar and congruent polygons. In this geometry lesson, students define the theorems and reasons for polygons similarity and congruence. They are given pictures and patterns to differentiate and identify.
Curated OER
Hexagoning the Circle
Students explore similarity to see that the area of a circle should be a constant times the square of its radius. Students create a hexagon. Students share their designs with the class.
Curated OER
Mirror Wells
Learners study mirror wells, which are similar to 3-D kalediscopes, but the end is cut off to enable you to look at patterns through them.
Curated OER
Seeing Shapes
Young scholars discover different geometric shapes such as triangle, square, rectangle, and octagon. Students incorporate the use of technology by taking pictures of shapes around their school using a digital camera.
EngageNY
Criterion for Perpendicularity
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 endpoints and...
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.
Curated OER
Tangrams
Young scholars construct tangram pieces. Then they make observations and explore patterns with the pieces.
Curated OER
Indirect Measurement
Students measure and apply their knowledge of proportion to solve problems. In this geometry activity, students measure using a meter stick, small mirror and measuring tape. They compare and contrast their measurements to objects outside...
Curated OER
The Overlooked Regular Pentagon
Tenth graders discuss the history of geometry as it relates to pentagons. In this geometry lesson, 10th graders solve problems of a pentagon inscribed inside of a circle using ratio. They review other properties for shapes of polygons...
Curated OER
Discovering Pi
Students relate Pi to a circle. In this circles activity, students identify the different properties of two dimensional objects. They relate Pi to the circumference, diameter and area of a circle .
Mathalicious
XBOX Xpotential
Touchdown! This is an exponentially insightful instructional activity that explores the growth of football games with different video game consoles. Class members discuss whether the increase of mergahertz can be described as linear or...
Mathalicious
Out of Left Field
A baseball trajectory and a parabola seem to make the best pair in real-world quadratic applications. Here is a current baseball resource with questions, discussions, and explorations regarding a quadratic function and home run...
Mathematics Vision Project
Circles: A Geometric Perspective
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...
Curated OER
Pythagorean Theorem by Graphic Manipulation
There are many different ways to show a proof of the Pythagorean Theorem. Here is a nice hands-on paper cutting activity that shows a graphic representation. You can even challenge your young Pythagoreans to come up with their own...
Cornell University
Bridge Building
Bridge the gaps in your knowledge of bridges. Individuals learn about bridge types by building models. The activity introduces beam bridges, arch bridges, truss bridges, and suspension bridges.
EngageNY
Definition of Congruence and Some Basic Properties
Build a definition of congruence from an understanding of rigid transformations. The lesson asks pupils to explain congruence through a series of transformations. Properties of congruence emerge as they make comparisons to these...
Teach Engineering
Catching the Perfect SAR Waves!
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.
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