Charleston School District
Pre-Test Unit 2: Similar and Congruent
A pre-test contains questions about transformations that lead to congruent and similar images. It also covers angle relationships associated with triangles and parallel lines intersected by a transversal.
Illustrative Mathematics
Bank Shot
Young geometers become pool sharks in this analysis of the angles and lengths of a trick shot. By using angles of incidence and reflection to develop similar triangles, learners plan the exact placement of balls to make the shot....
Space Awareness
Climate Zones
The climate at the equator is hotter than the climate at the poles, but why? The lesson goes in depth, explaining how the angles of illumination relate to the heating rate at different latitudes and seasons. Scholars use a strong lamp,...
Curated OER
Investigating Right Angles
In this right angles worksheet, students analyze 12 pictures of quadrilaterals and look for right angles. Students sort the quadrilaterals into a table according to whether they have 0, 1, 2, 3 or 4 right angles.
Virginia Department of Education
How Many Triangles?
Something for young mathematicians to remember: the sum of any two sides must be greater than the third. Class members investigates the Triangle Inequality Theorem to find the relationship between the sides of a triangle. At the...
Virginia Department of Education
Side to Side
Congruent figures: two figures that want to be just like each other. Individuals learn to distinguish between figures that are congruent and those that are not. Measuring the lengths of line segments and angles helps in this endeavor.
Concord Consortium
In a Triangle
What's in a triangle? Just 180 degrees worth of angles! Young learners use given angle relationships in a triangle to write an algebraic representation. Using a system of equations, they simplify the equation to a linear representation.
Illustrative Mathematics
Right Triangles Inscribed in Circles II
So many times the characteristics of triangles are presented as a vocabulary-type of lesson, but in this activity they are key to unraveling a proof. A unique attack on proving that an inscribed angle that subtends a diameter must be a...
Mathematics Vision Project
Module 3: Geometric Figures
It's just not enough to know that something is true. Part of a MVP Geometry unit teaches young mathematicians how to write flow proofs and two-column proofs for conjectures involving lines, angles, and triangles.
Mathematics Vision Project
Module 5: Circles A Geometric Perspective
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
Curated OER
Basketball: All the Angles Word Search
In this angles word search, students find a set of 22 words related to basketball, then find the words that are synonyms for the word "angle." Page has links to additional resources.
Curated OER
Angles and Parallel Lines Quiz
In this geometry worksheet, learners identify missing angles and sides. They identify angles formed by parallel lines cut by a transversal. There are 7 questions with an answer key.
Curated OER
Recognizing Right Angles
In this right angles worksheet, students analyze 9 geometric or irregular shapes. In the box below each picture, students put a "tick" if there is a right angle or a "cross" if there is not.
It's About Time
Refraction of Light
Don't shine like a diamond, refract light like a diamond. Young scientists use an acrylic block and a laser light to observe refraction. Advanced scholars figure the sine of the angles of reflection and incidence as well as mastering...
EngageNY
Extending the Domain of Sine and Cosine to All Real Numbers
Round and round we go! Pupils use reference angles to evaluate common sine and cosine values of angles greater than 360 degrees. Once they have mastered the reference angle, learners repeat the process with negative angles.
EngageNY
Looking More Carefully at Parallel Lines
Can you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then...
Concord Consortium
Short Pappus
It's all Greek to me. Scholars work a task that Greeks first formulated for an ancient math challenge. Provided with an angle and a point inside the angle, scholars develop conjectures about what is true about the shortest line segment...
Mt. San Antonio Collage
Isosceles Triangles and Special Line Segments
Under which conditions can a triangle be classified as isosceles? High schoolers practice identifying isosceles triangles and special line segments, including angle bisectors, medians of triangles, and perpendicular bisectors of sides of...
Curated OER
Angle Pairs: Problem Solving
In this angle pair worksheet, students use a given diagram to solve 5 related problems. Houghton Mifflin text is referenced.
Curated OER
Area of complex shapes with 90' angles
For this area worksheet, students figure out the area of complex shapes containing 90' angles. Students find the area for 2 shapes.
Balanced Assessment
Sharp-Ness
Transform pupils into mathematicians as they create their own definitions and formulas. Scholars examine an assortment of triangles and create a definition and formula for determining the sharpness of the vertex angle. The groups of...
EngageNY
An Area Formula for Triangles
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
Space Awareness
Seasons Around the World
Why does Earth experience summer, fall, winter, and spring? Using an informative demonstration, learners see how the angle of the sun on Earth and the rotation of Earth determine the seasons. Scholars work in pairs to learn that the...
Bowland
Three of a Kind
One is chance, two is a coincidence, three's a pattern. Scholars must determine similarities and differences of a regular hexagon undergoing dilation. They look at lengths, angles, areas, and symmetry.
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