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Exploring Geometric Constructions of Parabolas
Learners are introduced to the construction geometrically of parabolas. Using a software program, they identify lines, segments and midpoints. They label the parabolas properties and characteristics and use a formula to determine the...
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Worksheet 1, Coordinate Graphing
In this algebra worksheet, pupils determine the quadrant a given point is in. They find the midpoints of two line segments. Students plot points to form a triangle and find the distance between points. Pupils find the area of the...
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Building Blocks of Geometry
In this geometry worksheet, students answer questions about midpoints, distance, lines and segments. They are given different shapes and asked to calculate the angles, and sides of polygons.
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Equations of Lines
Learners classify lines, slopes and shapes. For this calculus lesson, students calculate the midpoint, segment and equation of a circle. They also review what a slope and angle of inclination is.
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Which Quadrilateral Is It?
Young scholars prove conjectures about geometric figures on the plane or in space using coordinate geometry. They develop fluency in operations with real numbers, vectors and matrices using mental computation or paper-and-pencil...
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Quadrilateral Explorations
Ninth graders identify quadrilaterals and label the vertices of quadrilaterals. they justify their identification of the quadrilaterals. Students work in groups to identify and create quadrilaterals
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The Triangle Midsegment Theorem
For this geometry worksheet, 10th graders identify the vocabulary associated with the Triangle Midsegment Theorem and solve problems in which they find the size of a missing angle or segment. The one page worksheet contains...
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How Far From the Fountain?
For this estimation worksheet, students estimate and measure ten landmarks from the fountain in inches. Students also answer two word problems involving coordinates.
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Exploring Centers of a Triangle: Part 2
Students model and solve a real-world problem by constructing the centroid of a triangle. They explore relationships of the medians of a triangle and investigate how the centroid partitions each of the medians. Students investigate...
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Application of Properties of Quadrilaterals in the Coordinate Plane
Students apply definitions and theorems to verify special quadrilaterals
using coordinate geometry. They apply the slope formula, the midpoint
formula, and the distance formula to justify that a given quadrilateral is a
parallelogram....
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Diagonals to Quadrilaterals II
Learners identify the properties of different polygons. In this geometry lesson, students find the slope of a line and calculate the distance between two lines. They differentiate between similar and congruent polygons.
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Applications of Properties of Quadrilaterals in the Coordinate Plane
Students explore the concept of quadrilaterals. In this quadrilaterals lesson, students use the slope formula, midpoint formula, and distance formula to justify that a given quadrilateral is a parallelogram.
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Slope Right Up
Students use triangles to find the length and slope of each side. After connecting the vertices, they add points based on their specific instructions. They use the Pythagorean Theorem to complete a worksheet to end the lesson.
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Science 911: Car Crash Testing
Students explore, experiment and analyze the concept of using dummies in a car crash test. They collaborate in a series of tests designed to simulate what really happens in a two-car collision. Each student incorporates probability,...
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Concurrent Lines in Triangles
Students explore the concept of concurrent lines in triangles. In this concurrent lines in triangles lesson, students work in groups to investigate properties of concurrent lines in acute, right, and obtuse triangles. Students use a...
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The Right Angle
In this geometry activity, 10th graders determine the answer to a vocabulary questions and then follow the give rules to place the answer in the appropriate place on the crossword grid. The one page activity contains 18...
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Are We Sure They Are Parallel?
Fourth graders explore the definition and properties of parallel lines. This high level lesson has students calculate the slope of the two parallel lines, and draw the lines on a Caretsian coordinate system.
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Choosing a Summer Job
What did you do over your summer vacation. Young wage earners must compare summer job options, and determine when each job earn the same amount and what that amount be. This be done by creating, graphing, and solving systems of...
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Equations of Lines
Students define slope, and practice finding the slope of lines through given points. They determine the angle of inclination. Students find the relationship between the slope and the tangent of the lines. Students determine special...
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Exploring Centers of a Triangle: Part 1
Learners use problem solving skills, formal geometry, and The Geometer?s Sketchpad. They model and solve two real-world problems by constructing the in center and circumcenter of triangles.
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Connect the Mathematical Dots
Teachers can choose visual activities that demonstrate the elegance associated with the coordinate plane.
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Congruent Segments
The task, should your class decide to take it, is to list a series of reflections that transfer a line segment from one position to another.
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Determining the Uniqueness of a Circle
Students use this activity to determine how circles are different from other shapes. In groups, they determine the accuracy of three theorems based on the uniqueness of circles. They use a software program to hypothesize about the...
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History of Our Solar System Time Line
Ninth graders explore the concept of ratios. In this ratio instructional activity, 9th graders construct a to scale time line that starts at the beginning of time. Students determine the correct placement of big events in time such as...
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