Balanced Assessment
Square and Circle
To determine the dimensional change to quadruple the area, class members determine how to increase the dimensions of a square and a circle to increase the perimeter by a given factor. they then calculate the necessary factor to create...
Curated OER
Area of Circles and Probability
Students investigate the area of squares and circles. For this geometry lesson, students calculate the area and probability of simple events. They work on a laptop using Safari.
Exploratorium
Inverse Square Law
The inverse square law is revealed when your class participates in this activity. They move a graph paper or perfboard square back and forth in a square of light to see how the intensity changes. You will definitely want to add this...
EngageNY
Writing the Equation for a Circle
Circles aren't functions, so how is it possible to write the equation for a circle? Pupils first develop the equation of a circle through application of the Pythagorean Theorem. The lesson then provides an exercise set for learners to...
Illuminations
Circumference and Areas of Circles
Middle and high schoolers listen to a scenario about a puppy and use the scenario to develop formulas in order to find the area of a circle. In this circumference instructional activity, pupils understand how to find the radius,...
EngageNY
Recognizing Equations of Circles
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
101 Questions
Circle-Square
How do the area and perimeters of circles and squares compare? A clever video illustrates the change in the area of a circle and square while their total perimeter stays the same. The task is for learners to predict the point where the...
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
Balanced Assessment
Star from Square
Quilting is not only beautiful and unique—it is a mathematical art. Show your classes how to design a quilting block while practicing area and circumference of circles. Scholars create a star from a square and then find the circumference...
Mathematics Assessment Project
Circles and Squares
Squares, and circles ... and squares, and more circles. In this high school assessment task, pupils investigate the ratio of areas of two squares that are circumscribed and inscribed in a circle. They then determine the ratio of the area...
Curated OER
Principles of Square Roots Lesson Plan
Middle and high schoolers investigate all the different places in math that square root is present. In this geometry lesson, pupils discuss square roots as it relates to a right triangle and construction. They go over altitude, rise,...
PBS
Scale City — Scaling up Recipes and Circles in the Real World
What a great big skillet you have. The resource introduces the class to the world's largest stainless steel skillet. The class creates a model of the skillet and a typical 12-inch skillet and compares the relative sizes of their areas....
Print and Practice
Squares and Circles
In this squares and circles worksheet, learners color the squares orange and color the circles yellow. Students color 6 squares and 5 circles.
EngageNY
Construct a Square and a Nine-Point Circle
Anyone can draw a square, but can you CONSTRUCT a square? Here is a resource that challenges math scholars to create steps to finish their own construction. They test their ability to read and follow directions to complete a construction...
Mathematics Vision Project
Circles and Other Conics
Through a variety of hands-on activities and physical scenarios, this far-reaching unit leads learners through an exceptionally thorough exploration of circles and parabolas as conic sections. Geometric construction techniques are used...
EngageNY
Square Roots
Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...
EngageNY
From Circle-ometry to Trigonometry
Can you use triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.
Curated OER
Challenge: Square and Circle
In this shape instructional activity, students color squares orange, circles blue, and count and write the numbers of each shape present. A clown is shown juggling the shapes.
Illustrative Mathematics
Slopes and Circles
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas from...
Curated OER
Area of Circle Worksheet
Given the diameter of a circle, learners are charged with finding its area. They halve the diameter, square it, and multiply by pi. Five problems provide basic practice.
Curated OER
Geometric Shapes
Connect geometric shapes to your learners' lives with this worksheet. In order to complete this worksheet, young scholars must discover examples of triangles, squares, and circles at school, at home, and outdoors and list them on a...
CK-12 Foundation
Equations of Circles: The Sea of Happiness
Map this! Help your young mathematicians draw a circular island on a map. Given specifics of the location and size of an island on a map, pupils transform a circle to meet the given requirements. They then determine the location of the...
Curated OER
Circles and Squares
In this area worksheet, students find the ratio of 1 area problem. Students find the ratio of areas of inscribed circles to circumscribed squares.
Curated OER
Square Corners
Which ones are square corners? As they learn more about shape attributes, be sure scholars understand the difference between a vertex and a square corner. After examining two examples, learners circle the 90-degree corners in 12...