Illustrative Mathematics
Lines of Symmetry for Circles
Further your instruction on geometrical symmetry with an investigation of circles. Fourth graders come to realize that the lines of symmetry of a circle are infinite.
Curated OER
Compare Fractions Using Fraction Circles
Fourth graders practice ordering fractions using models and drawings. In this math model lesson plan, 4th graders utilize colored blocks and drawings to show an equal representation of given fractions. Students compare and contrast the...
Curated OER
Fraction Circles
Fourth graders receive a fraction circle and show how each different part makes a whole. Students compare the different fractions that make up a whole. Students choose 2 fractions which are inside a bucket and they compare them both...
Illustrative Mathematics
Representing Half of a Circle
Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, students are asked to determine whether or not one half of each circle is shaded. To support...
Mathematics Assessment Project
Circle Pattern
Cool circle patterns! To investigate patterns of shading in circles, learners use the values for specific examples of the pattern to generate a verbal rule for the arrangement.
Illustrative Mathematics
Seven Circles III
A basic set-up leads to a surprisingly complex analysis in this variation on the question of surrounding a central circle with a ring of touching circles. Useful for putting trigonometric functions in a physical context, as well as...
EngageNY
Unknown Angle Problems with Inscribed Angles in Circles
We know theorems about circles—now what? Class members prove a theorem, with half the class taking the case where a point is inside the circle and half the class taking the case where a point is outside the circle. The lesson then...
EngageNY
Similar Triangles in Circle-Secant (or Circle-Secant-Tangent) Diagrams
First angle measures, now segment lengths. High schoolers first measure segments formed by secants that intersect interior to a circle, secants that intersect exterior to a circle, and a secant and a tangent that intersect exterior to a...
EngageNY
Secant Lines; Secant Lines That Meet Inside a Circle
Young mathematicians identify different cases of intersecting secant lines. They then investigate the case where secant lines meet inside a circle.
Willow Tree
Circle Graphs
Pie isn't just for eating! Scholars learn to create pie charts and circle graphs to represent data. Given raw data, learners determine the percent of the whole for each category and then figure out the degree of the circle that percent...
Inside Mathematics
Circles in Triangles
Challenge the class with inscribed circles in triangles. The assessment task requests class members use their knowledge of circles and right triangles to prove two triangles are congruent. They go on to utilize their knowledge of...
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...
Dick Blick Art Materials
Start with a Circle...
The Golden Ratio. The Divine Proportion. Yup. It's math and art blended into one colorful activity. Young artists combine colored tissue paper circles and parts of circles to create geometric patterns. As a bonus, kids get to figure out...
Math Mammoth
Circle
For this circle worksheet, students find the area and circumference of circles and compare their size using percents. Students determine the are of composite figures made of circles and rectangles. This one-page worksheet contains six...
Curated OER
Circles
A very basic presentation on the vocabulary associated with circles has come around. Math whizzes see definitions and examples of the radius, diameter, chord, and central angle of a circle. The last slide says "practice time," but there...
Illustrative Mathematics
Coins in a Circular Pattern
What starts as a basic question of division and remainders quickly turns abstract in this question of related ratios and radii. The class works to surround a central coin with coins of the same and different values, then develops a...
EdHelper
Fractions
In this online fractional parts worksheet, third graders read descriptions of fractions and choose the corresponding pictures, color fractional parts, identify shaded parts, draw lines to show fractions, and draw lines of symmetry....
Math Worksheets Land
Partitioning Circles and Rectangles- Independent Practice
Start simple by using a shape-partitioning worksheet. Scholars begin by segmenting basic shapes in halves and quarters. On the second page, they move on to more complex shapes, such as a heart and a cross, also partitioning them in half...
Curated OER
Calculate Area Using Pi
Geometers find the area of four circles given their circumferences. Circumference is presented in the form of "numeral (diameter) x pi"; the answer key shows solutions as "numeral (radius squared) x pi," so computation is limited to...
Rational Number Project
Initial Fraction Ideas Lesson 4: Overview
First-time fraction fiends make paper-folding models for unit and non-unit fractions. They follow teacher-led directions to make models that show 2, 3, 4, 6, 8, and 12 equal parts. An array of fraction review worksheets are included to...
Curated OER
All About Circles Post Test
In this geometry worksheet, students answer ten multiple choice facts about circles. The questions include finding the diameter, area, and radius of a circle.
Curated OER
Crop Circles
Students calculate the area and circumference of a circle. In this geometry lesson, students solve word problems with circles and create formulas to calculate the area. They find the rate and complex area of a circle.
Curated OER
Circumference of a Circle
In this circumference of a circle activity, 10th graders solve 10 different problems that include various illustrations of circles. First, they multiply pi by the given diameter of the circle. Then, students determine the radius by...
Curated OER
Circles-Diameter, Circumference, Radius and the Discovery of Pi
Seventh graders measure the diameter, circumference and radius of a circle and find pi using the diameter and circumference. In this geometry lesson, 7th graders work in groups to find the diameter, radius, and circumference of circles....
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