Radford University
Where Should We Sit?
Where's the best seat in the house? Given a diagram of a movie theater, pupils determine the best seats based on the viewing angle. They use inscribed angles to justify their choices.
CK-12 Foundation
Length of an Arc: Pi Hour
What time is it when the arc length is pi? An interactive displays the measure of the angle created between the hour and minute hand of a clock. Pupils can set the clock to different hours and calculate the arc length based upon the radius.
Flipped Math
Unit 11 Review: Circles
Solve problems around a circle. Pupils watch a video that shows how to apply concepts about circles and related angles and segments to find solutions to word problems. Learners then review the different concepts from the unit in...
Curated OER
PreCalculus Test 3: Angle Measurement
In this angle measurement instructional activity, students identify the domain and range of given problems. They determine the amplitude, period and horizontal translation of given functions. This two-page instructional activity...
Curated OER
VSEPR Theory: Valence Shell Electron Pair Repulsion Theory
In this atoms worksheet, students complete a graphic organizer by filling in the number of atoms, number of electron pairs, number of long pairs, bond angle, and molecular shape.
Illustrative Mathematics
Two Wheels and a Belt
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Curated OER
Angles and Arcs
Students discuss the sum of central angles and use string to create them on circles. They find the measure and length of both minor and major arcs.
Students give examples of concentric, similar, and congruent circles and congruent arcs.
Curated OER
New York State Testing Program: Mathematics Test Book 2
In this mathematics test book, students answer problems dealing with topics covered during the year. They solve problems dealing with percent, probability, properties, and interpreting graphs. This sixteen page worksheet contains...
Curated OER
Polygons
For this polygons worksheet, 10th graders solve 10 different problems that include determining various interior angles in polygons. First, they determine the number of sides a polygon has with a given measure for each angle. Then,...
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Curated OER
2007 U.S. National Chemistry Olympiad Local Section Exam
Sixty multiple choice questions cover the entire gamut of chemistry concepts. This is the local section of the U.S. National Chemistry Olympiad, where your chemistry candidates take a shot at entering the national competition. They...
Curated OER
Interior Angles of Regular Polygons
Students investigate the interior angles of a triangle. In this geometry lesson, students create the formula to calculate the angles inside a triangle. They observe the total sum of a triangles angle on the navigator.
Curated OER
Positive and Negative Angles and Arcs
To better understand that the intersection point of two lines lies inside a circle, learners use their keen measurement skills. They discuss arcs, rays, tangent lines, and reflex angles. Then, they put their skills to work as they...
Curated OER
Chapter 5 Final Review Extra Problems. Triangles
In this triangles activity, students identify the median, altitude, segment, angle bisector, perpendicular bisector and triangle midsegment of triangles. They find the perimeter of triangles. This three-page activity contains 8...
Curated OER
Relationships Among Arc and Angle Measures in Circles
Pupils follow the directions on the attached worksheet to construct shapes using Geometer's Sketchpad. To start the lesson, it is suggested that the teacher guide the students through the initial problem. When constructions are completed...
Inside Mathematics
Hopewell Geometry
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
Curated OER
Picking Patterns
In this pattern activity, students enumerate the number of objects that comes next in the sequence including triangles, blocks, and circles. There are 6 questions.
Royal Society of Chemistry
Shapes of Molecules—Distortion from the Pure Geometry
Ready to introduce the realities of molecular geometry to chemistry pupils? Use a logic-based interactive! Perfect as individual practice, the puzzles explore the bond angles and repulsions present in three common molecular shapes.
Royal Society of Chemistry
Shapes of Molecules—Hybrid Orbitals
Take your chemistry class' knowledge of molecular geometry to the next level! Introduce orbital hybridization with a series of related games. Individuals complete a data table in the first activity, then solve Sudoku-like puzzles using...
Curated OER
7th Grade Mathematics Booklet
In this 7th grade mathematics compilation worksheet, 7th graders solve and complete 40 various types of mathematics problems. They determine the measure of various angles and the side-lengths in integers of a square. Students also...
Curated OER
Inscribed Angles
Students analyze inscribed angles and intercepted arcs and explore the relationships between the two. They investigate the properties of angles, arcs, chords, tangents, and secants to solve problems involving circles.
PhET
Molecule Shapes
The shape of a molecule is determined by the arrangement of atoms around the central atom and lone pairs of electrons. Scholars build models of molecules using single, double, and triple bonds. They can then see real molecules bond...
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...
Curated OER
Arc Length and Sectors
Find the length of an arc. Students relate central angles to the area and length of a sector and graph circles on the TI to make predictions.
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