West Contra Costa Unified School District
Congruent and Similar Polygons
What's similar about congruent and similar polygons? Young mathematicians first measure the side lengths and angles of given figures. They use these measurements to determine relationships between side lengths and angles of congruent and...
West Contra Costa Unified School District
Law of Sines
Laws are meant to be broken, right? Learners derive the Law of Sines by dropping a perpendicular from one vertex to its opposite side. Using the Law of Sines, mathematicians solve for various parts of triangles.
West Contra Costa Unified School District
Parallel Lines Cut by a Transversal
Parallel lines seem so right for each other. It's too bad they'll never, ever meet. Learners use tracing paper to discover relationships among angles formed by two parallel lines cut by a transversal. They apply this information to find...
West Contra Costa Unified School District
Investigating Similar Triangles
Let your use of the resource be in proportion to its usefulness. Pupils investigate similar triangles by measuring side lengths and considering given angle measures. The results of the investigation help develop generalizations about...
Curated OER
Does the Area of the Quadrilateral Change?
Students study area and quadrilaterals. In this multiplication and area lesson, students use Polystrip models to change rectangles to form different parallelograms. Students find the area of the models use a Geometer Sketchpad to find...
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Investigate the Rigid Motions of Reflection, Rotation, Translation, and Dilation
Students investigate the rigid motions of reflection, rotation, translation, and dilation. This investigation be accomplished through classroom instruction and exploration using Geometer's Sketchpad.
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Conditional Statements
In this conditional statements worksheet, 11th graders solve and complete 15 various types of problems. First, they determine if a conclusion can be reached from the two statements using the law of detachment or the law of syllogism....
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Investigating the Pythagorean Theorem
Students problem solve a series of problems based on the Pythagorean Theorem. They apply the theorem to a number of scenarios.
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A Dreamer's Cloak
Students listen to the teacher read "A Dreamer's Cloak." They examine the difference between squares and circles and create their own cloak by using a paper bag and different shapes.
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"School Shape Scavenger Hunt"
Students, in groups, venture onto the schoolground on a scavenger hunt for shapes. They are given tasks: recorder, team leader, presenter, reporter, and behavior guidelines and a time limit. They search the school for shapes found in...
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What's Your Design?
Sixth grade students: design a stained glass window, submitting their initial plan detailing the measurements of all lines and angles. Seventh grade students: create a scale drawing of their own geometric family of four members.
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Geometric Transformations
Students solve problems involving transformations of geometric figures. They review graphing points in the coordinate plain, plot points and connect to create a triangle. Then, they reflect triangles over the x and y axis and use...
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Line and Shape Game
Young scholars play the "space-breaker" game, in which they are required to create a picture using shapes or lines called out to them) to reinforce the concept of geometric shape and line.
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Lesson Exchange: Polygons (Middle, Mathematics)
Students discover the relationship between the sides of a polygon and the number of diagonals that can be drawn from one vertex, the number of triangles that those diagonals form, and the sum of the interior angles of that polygon.
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Finding The Circumference Given The Radius
Students develop an understanding of pi and the relationship between the diameter, radius and circumference. After a lecture/demo, students use construction paper and a compass to solve problems using diameter, radius and circumference.
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Properties of Triangles
Students explore the relationship between how big a side of a triangle is and how big its opposite angle is by creating triangles using an interactive website.
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Investigating Volume
Students investigate the components of volume and use appropriate units and procedures to calculate the volume of several household boxes.
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Polygon Mobiles
Young scholars explore a variety of shapes and angles and create mobiles with information about a selected polygon. Both common and "not-so common" polygons are examined.
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Symme"tree"
Students practice drawing lines of symmetry after the teacher draws shapes on the board. They create a class symme"tree" using only symmetrical shapes to decorate it.
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Christmas Presents
Seventh graders create a graph of their Christmas gifts. They develop categories, compute fractional and decimal parts for each category, identify the number of degrees to represent each fractional part, and create a circle graph to...
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Getting Familiar with Fractals
Students use the Internet to answer lab questions about fractals, and then construct fractals using the initial stage and iteration rule. They complete tables and generate rules for the "nth" term and create their own fractals.
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Shapes Around Us
Young scholars create posters about geometric shapes in order to demonstrate their understanding of the different shapes. Students look for pictures in magazines to represent two-dimensional shapes, paste them on a poster, label the...
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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...
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Math: Gears and Wheels
Twelfth graders solve problems involving linear and angular speed. Using information about a compact disc, they solve the problem using multiple rates and conversion factors. Students also solve additional problems involving bicycle...
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