EngageNY
Finding Systems of Inequalities That Describe Triangular and Rectangular Regions
How do you build a polygon from an inequality? An engaging lesson challenges pupils to do just that. Building from the previous lesson in this series, learners write systems of inequalities to model rectangles, triangles, and even...
EngageNY
Definition of Rotation and Basic Properties
Examine the process of rotating images to visualize effects of changes to them. The fifth lesson of 18 prompts pupils to rotate different images to various degrees of rotation. It pays special attention to rotations in multiples of 90...
EngageNY
Translations
Learn through constructions! Learners examine a translation using constructions and define the translation using a vector. Pupils then construct parallel lines to determine the location of a translated image and use the vector as a guide.
Curated OER
Finding the Area of a Parallelogram with Translations
Students calculate the area of a parallelogram. In this geometry activity, students perform translation using a coordinate plane and coordinate pairs. They perform translation on other polygons.
Curated OER
Fractal and the Dragon Curve
Learners explore Fractal designs. For this geometry lesson, students observe the different polygons created in nature and relate it to math. They define polygons on planes and rotate polygons about a point.
Curated OER
Getting It Right! An Investigation of the Pythagorean Theorem
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...
EngageNY
Sequences of Rigid Motions
Examine the various rigid transformations and recognize sequences of these transformations. The activity asks learners to perform sequences of rotations, reflections, and translations. Individuals also describe a sequence that results in...
Curated OER
Quadrilateral Explorations-Grade Nine
Ninth graders investigate quadrilaterals. In this geometry lesson, 9th graders examine and classify quadrilaterals using the slope, midpoint and distance formulas. Additionally, students create various quadrilaterals given three point...
Curated OER
Riemann Rectangle Errors
Students calculate the area under a curve. In this calculus lesson plan, students integrate the function to find the area under the curve. They use the Ti to create a visual of the graph.
Curated OER
Transformations and Rotations
Students define and identify transformation and rotation. In this geometry lesson, students define rotations as congruence or isometry. They find the coordinates of an image and pre-image.
Curated OER
Contact Angle. Interfacial Tension and Wetting
Students determine the contact angle of water on different surfaces. In this physics instructional activity, students calculate their percent error using a mathematical formula. They explain the advantages of using non-wetting surface...
Curated OER
Riemann Sums
Learners calculate the area under a curve. In this calculus lesson, students use Riemann Sums to find the area under a curve. They apply the boundaries of intervals as they solve for each area.
Curated OER
Exploring Transformations: Translations and Reflections
Learners perform translation and reflection. They identify the coordinate points of the new graph and create a formula for the movement. They identify the pre-image the and after image.
Curated OER
Tessellations
Learners create tessellations. In this geometry lesson, students use polygons to create different patterns by rotation. They identify the reasons for polygons to create the type of tessellation it does.
Curated OER
Finding the Area of a Parallelogram with Translations
Students calculate the area of parallelograms. In this geometry lesson, students identify properties of parallelograms and use to to solve problems. They create polygons using Cabri software.
Curated OER
The Dragon Curve Fractal
Students identify the properties of a dragon curve. In this geometry instructional activity, students identify sequences and patterns as they solve fractals. They investigate patterns found in nature.
Curated OER
Are you in Golden Shape
Students solve and verify the solution for unknown measures. In this geometry lesson, students identify the properties of circles. They use the arc, angle and segment relationship to find the missing measures.