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.
Willow Tree
Perimeter of Common Geometric Figures
Help learners understand that perimeter and circumference are one in the same. Learners apply their skills to determine the perimeter/circumference of triangles, rectangles, and circles. They then use the same strategy to find the...
Illustrative Mathematics
Overlapping Squares
The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....
Curated OER
Effects of Changing Dimensions Proportionally
In this geometry activity, learners describe the effect of a proportional change on the perimeter or circumference and area of the given circles or quadrilaterals. The one page activity contains ten problems. Answers are...
EngageNY
End-of-Module Assessment Task - Geometry (module 3)
It's test time! Determine your class's understanding of the topics of volume and cross sections with a thorough assessment on volume, area, and geometric shapes.
EngageNY
End-of-Module Assessment Task: Pre-Calculus Module 4
Challenge your scholars to show what they know about the Law of Sines, Law of Cosines, and inverses. The six-question assessment is the last in a series of 16. Pupils find the area of triangles and show that the Law of Sines and Law of...
Curated OER
Connecting Algebra and Geometry Through Coordinates
This unit on connecting algebra and geometry covers a number of topics including worksheets on the distance formula, finding the perimeter and area of polynomials, the slope formula, parallel and perpendicular lines, parallelograms,...
Illustrative Mathematics
Shape Hunt Part 2
Shapes are everywhere in the world around us, from rectangular doors to the circular wheels of a car. The second lesson in this series opens the eyes of young mathematicians to this wonderful world of shapes as they search the classroom,...
Curated OER
Cross Sections and Collision Times
High schoolers solve five problems including finding the cross sectional area of two bodies, determining the swept out volume of a moving body, finding the average particle volume of a body and determining the collision time for a body.
American Farm Bureau Foundation for Agriculture
Shapes in Agriculture
It's time to get crafty with shapes! Your future farmers demonstrate their geometric ability by building a farm using triangles, circles, rectangles, and squares. But first, scholars take part in a brainstorm session inspired by their...
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Balanced Assessment
Multi-Figures
Apply concepts of scale and ratio to determine relationships in irregular figures. Learners determine the ratio of the perimeters of two figures composed of rectangles and circles. After, they apply similar concepts to find the ratio of...
American Statistical Association
Exploring Geometric Probabilities with Buffon’s Coin Problem
Scholars create and perform experiments attempting to answer Buffon's Coin problem. They discover the relationships between geometry and probability, empirical and theoretical probabilities, and area of a circle and square.
Baylor College
There's Something in the Air
Clever! In order to compare indoor and outdoor dispersal rates for the movement of gases and particles through air, collaborators will participate in a classroom experiment. Set up a circular grid and set students on lines that are...
Curated OER
An Introduction to Pi and the Area of a Circle
Students explore measurements of a circle. In this lesson about circumference and radius, students practice calculating measurements of a circle. Students estimate, calculate, and practice with graphing all while learning how to find...
Curated OER
Volume of a Cylinder
Middle and high schoolers calculate the volume of cylinders. They measure the height, radius and diameter of cylinders. Following given formulas, students calculate the area and volume of the cylinder. They compare cylinders and predict...
Curated OER
Area Of Sectors
Student find the area of a sector of a circle. In this geometry lesson, students define the sector of a circle using a sketch. They find and identify examples of sector in the real world.
Curated OER
Radius, Diameter and Circumference
In this circle worksheet, students use a drawing of a circle. The diameter is given. Students find the radius, circumference and area of the circle. On the second problem, students are shown a circle with a hole inside it. They compute...
Curated OER
Circles
In this geometry worksheet, 10th graders determine the circumference and area of a circle given either the diameter or the radius. The one page interactive worksheet contains ten questions. Answers and hints are included.
Curated OER
Circles and Their Equations
In this circle and their equations worksheet, students read about circles and algebraic equations, look at examples and complete exercises.
Curated OER
The Real Deal On Circles
Fifth graders investigate circles and area. In this geometry lesson, 5th graders find the area, diameter and circumference of a circle. They estimate the data and then calculate it.
Curated OER
Pythagorean Circles
Students solve problems using smaller steps. In this geometry activity, students find the diagonals of rectangles and the area of the annulus between two circles. They are given the starting point and the radius.
Curated OER
Worksheet 35-Spring 1996
In this math worksheet, students sketch six integrals and rewrite the equations as double integrals with reversed integration orders. Students evaluate four integrals. They sketch all points on a coordinate plane when given complex...
Curated OER
Worksheet 15-Fall 1995
In this math worksheet students use the intermediate value theorem to solve two problems. They find parallel lines that will cut a convex shape into two pieces with equal areas. Students repeat this problem with a concave shape. Students...