Virginia Department of Education
Arc Length and Area of a Sector
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
EngageNY
Unknown Length and Area Problems
What is an annulus? Pupils first learn about how to create an annulus, then consider how to find the area of such shapes. They then complete a problem set on arc length and areas of sectors.
Curated OER
Properties of Arcs, Lengths and Chords
Students differentiate between the different properties of arcs, arc lengths, chords, and chord lengths. In this circles lesson, students calculate the arc length of a given circle, and find the measure of the inscribed angles of a...
Virginia Department of Education
Angles, Arcs, and Segments in Circles
Investigate relationships between angles, arcs, and segments in circles. Pupils use geometry software to discover the relationships between angles, arcs, and segments associated with circles. Class members use similar triangles to...
Curated OER
Length of an Arc
Students compute the length of an arc and each hypotenuse in the give figure, adding them up in the end. They then develop the formula for the arc length with respect to the x-axis and the y-axis. Students also develop a formula for the...
Mathematics Assessment Project
Calculating Arcs and Areas of Sectors of Circles
Going around in circles trying to find a resource on sectors of circles? Here is an activity where pupils first complete an assessment task to determine the areas and perimeters of sectors of circles. They then participate in an...
Alabama Learning Exchange
Radians: Just Another Way
Serve up angle measurements on paper plates. Pupils use paper plates and paper-folding techniques to create a unit circle with conversions for special angles. Using their plates, learners explore the relationship between angle...
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...
Curated OER
DEAD MAN'S CURVE
Ninth graders, after being given a unique scenario and a task sheet on Dead Man's Curve, calculate and explain the force needed to keep a car on a curve using a set of formulas and a geometric property of circles. They utilize and create...
Curated OER
Connecting Area Formulas Produces a Beautiful Formula
In this math worksheet, students find the area of the triangle using the formula of 1/2 bh. Then they find the area using an alternative method.
Curated OER
Around the Clock
Middle schoolers discover the relationship between the circumference of a circle and its diameter. They find the length of an arc of a circle.Students use estimation strategies in real-world applications to predict results (i.e.,...
Curated OER
Sectors of Pizza
Young scholars identify the properties of a circle. In this geometry lesson, students relate properties of diameter to sections of a pizza. They calculate the measure of an arc and missing angles.
Curated OER
Electric Hoist Problem
Students convert angle measures between degrees and radians. They are given a copy of the task sheet with a graphic to help describe the situation. Pupils review the angle and arc relationship in a circle related to length of the...
Curated OER
Finding Areas of Triangles, Rectangles, and Circles
Students find the areas of geometric shapes. In this geometry instructional activity students find and measure the sides, perimeters, and areas of quadrilaterals, triangles, and circles. Students relate the measures to the others by...
Curated OER
Circular Motion: Target Practice
Students demonstrate direction of velocity of an object in circular motion. They discuss the mathematical formula, and demonstrate the formula using a string, rubber stopper and a target.
Curated OER
Exploring Volume of Cylinders
Tenth graders investigate the volume of a cylinder. In this geometry lesson plan, 10th graders create three-dimensional cylinders and use a ruler to determine the dimensions. The lesson plan progresses to the use of the...
Curated OER
Worksheet 28: Parametric Equations
In this parametric equations worksheet, students read informational paragraphs and answer 10 questions regarding parameter, velocity, speed, curvature, parametric equations, and scalar curvature.
Curated OER
Worksheet 7: Slope and Tangents
Providing both review and practice problems, this worksheet prompts learners to answer five questions having to do with slope, tangents lines, graphing, the Squeeze Theorem, differentiable functions and derivatives. This activity could...
Curated OER
Rays and Angles
Learners view examples of a ray, opposite rays, collinear rays, angles, and straight angles. They discuss and demonstrate how to use a protractor and complete worksheet problems on rays and angles.
Curated OER
Graph Both Crusts
Fourth graders calculate the angles and construct a pie graph of the percentages of the elements in the continental and oceanic crusts. Then they analyze the results. They can be assigned the task of researching the percentages.
Curated OER
Va Va Va Zoooommm
Students, in groups, measure a variety of physical components to several activities. They use both standard and non-standard forms of measurement and then develop conclusions about the use of units in measurement.
Curated OER
Algebra 2/Trigonometry Regents Exam
Young scholars review for the Regents Exam. In this math instructional activity, students review core concept for the Regents exam by working a variety of problems. A printable worksheet is provided.
Curated OER
Vectors Via the Calculator
Eighth graders resolve vector problems without the knowledge of math. For this vectors lesson students with poor math skills get a chance of passing the course.
Alabama Learning Exchange
Alex: Arc Lengths and Sector Areas
Students will work in cooperative groups to discover the relationships between arc length, central angle measure, and circumference. They will also discover the relationship between circle area, central angle measures, and sector area....