Curated OER
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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Reflections and Equilateral Triangles II
Given the lines of symmetry in an equilateral triangle, your learners find where the pre-image vertices are mapped onto the new image. They explore the properties of equilateral triangles, the impact of reflections, and the...
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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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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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Constructing Midsegments of Triangles
Students construct midsegments. In this geometry lesson, students make conjectures and apply properties of triangles to solve problems. They complete an activity on the computer.
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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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Classifying Angles
In this classifying angles worksheet, 10th graders solve and complete 21 various types of problems. First, they use the diagram shown on the right to answer the questions that follow. Then, students solve for x and find the measure of...
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Exploring Infinite Series through Baravelle Spirals
Learners are introduced to the concept of convergent infinite series using a recursive geometric construction. They explore the concept of a convergent infinite series using partial sums. Students use formal calculations, visualizations,...
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Parallel Lines and Proportional Parts
In this parallel lines and proportional parts worksheet, 10th graders solve 6 problems that include applying the theorems involved in proportional parts of triangles. First, they identify and describe each theorem. Then, students find...
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Areas of Polygons
Students calculate the are of regular polygons. In this geometry lesson, students create polygons on the computer and move it around to create different shapes. They explore the area of different polygons and how they inter-relate.
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Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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Fair Shares and Geometric Spirals
Learners tackle the problem of how to divide a triangular piece of land fairly among four people. They decide whether their method of fair division always works or if it only works in special cases.
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Geometry of Circles - Week 7 (Area & Circumference)
In this circle worksheet, students solve problems involving the circumference, area and arc length in a circle. They explore the union of circles and semicircles, as well as the line segments tangent to the circle. This two-page...
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A Perpendicular Pilgrimage
Ninth graders design a safe passage through a 2-D obstacle. In this geometric math lesson, 9th graders engage in a hands on activity to better understand the concept of geometric and algebraic perpendicularity. Students will work in...
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Reflection: Student Worksheet
For this math worksheet, students will work independently to trace a stencil on an x-axis. Then students will follow a procedure to trace the image on the horizontal line of reflection. Students will observe that reflections and...
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Isosceles Triangles
Students identify the properties of an isosceles triangle. In this geometry activity, students find the midpoint, median and angle bisector of a triangle. They construct angle bisectors and measure missing angles.
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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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Complex Distance
Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number...
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Coordinate Geometry
In this geometry worksheet, students calculate the midpoint and distance between two points. They use the correct formula to solve the area and perimeter of polygons. There are 20 multiple choice questions with an answer key.
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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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Spatial Relations - Week 9
In this spatial relations worksheet, students solve three-dimensional problems. They find the total number of triangles in a given figure, the number of line segments that endpoints and use integer points to solve two problems. This...
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Linear Functions Quiz
In this algebra learning exercise, students solve 2 multi-step problems, where they use linear functions to determine the equation of a line.
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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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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...