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Right Triangles
In this right triangles worksheet, 10th graders solve 10 different problems that include determining the means proportionally in each right triangle. First, they use the given information to determine the measure of each line segment....
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Pythagorean Theorem
In this Pythagorean Theorem instructional activity, students determine the length of a missing side of triangles. They read story problems, draw diagrams, and use the Pythagorean Theorem to solve real life problems. This one-page...
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Finding Percent of Change/ Increase or Decrease
Seventh graders explore the skill of finding the increase and decrease of a quantity. Calculating the increase and decrease is covered by a percent. The proporition for finding a percent is also part of the lesson.
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The Pythagorean Theorem
In this Pythagorean theorem worksheet, 9th graders solve and complete 8 different problems that include using the Pythagorean theorem to solve. First, they find the missing measure in each right triangle. Then, students make a drawing...
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Mini-Metric Olympics
Eighth graders participate in the mini-metric Olympics. In this measurement lesson plan, 8th graders solve real-world problems that require them to calculate length, area, and volume in metric units.
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Concurrence
In this concurrence learning exercise, 10th graders solve 10 different problems related to determining various concurrences. First, they determine which type of triangle has two altitudes outside of it. Then, students determine the...
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Area and Perimeter of Figures
For this area and perimeter worksheet, 10th graders solve 10 different problems that include various figures shown. First, they determine the area of triangles, parallelograms, and trapezoids in each box. Then, students determine the...
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Circumscribing a Circle About a Triangle
Pupils circumscribe a circle about a triangle. They construct a triangle using Cabri Jr and then circumscribe it. They then use knowledge of perpendicular bisectors and circumcenters to locate the center of the circle and then...
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Exploring the Circumcenter of a Triangle
Students construct the circumcenter of a triangle. In this constructing the circumcenter of a triangle lesson plan, students construct a triangle using Cabri Jr. Students draw perpendicular bisectors of the sides of the triangle....
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Exploring the Orthocenter of a Triangle
Young mathematicians explore the concept of triangles as they construct altitudes of triangles to find the orthocenter. Learners construct their triangles using Cabri Jr. on their graphing calculators and find that the altitudes of a...
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Angles Formed By Parallel Lines
Young scholars explore the concept of angles formed by parallel lines.They graph two parallel lines cut by a transversal, then measure the angles formed by the transversal and record the data in a table. Learners make conjectures about...
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Midpoint of a Segment
Learners revisit midpoint and segments by graphing on the TI or computer. This activity can be done with pencil and paper, but is more interactive if it is done on a TI-navigator.
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Investigating Equations of Lines
High schoolers investigate linear equations as they use technology (Cabri, Jr.) to explore the equations of lines in slope-intercept form. The technology allows learners to manipulate the line and observe the changes in the parameters of...
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Investigating the Slopes of Parallel and Perpendicular Lines
High schoolers investigate parallel and perpendicular lines. They use Cabri Jr. to construct and explore the relationships between the slopes of parallel and perpendicular lines. The drawing and measurement tools available with Cabri Jr....
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Investigating Segments in a Quadrilateral
Investigate the properties of the shape formed by connecting the midpoints of adjacent sides of a quadrilateral. In this properties of the shape formed by connecting the midpoints of adjacent sides of a quadrilateral instructional...
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Perpendicular Segments in a Circle
High schoolers explore the concept of circles as they construct a circle using a program such as Cabri Jr. Learners construct a chord and a diameter that are perpendicular, then measure the bisected chord and notice that both sides of...
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Perpendicular Bisector of a Line Segment
High Schoolers investigate the perpendicular bisector of a line segment. They use Cabri Jr. to construct the perpendicular bisector of a segment. The dynamics capabilities of Cabri Jr. allow your learners to observe the lengths of the...
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Intersecting Lines and Vertical Angles
Pupils identify and define intersecting lines and vertical angles. They draw two intersecting lines and measure one pair of vertical angles. Learners will also move a line to change the angles of a figure and describe the changes in the...
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Exploring the Centroid of a Triangle
Pupils examine the centroid of a triangle as they use Cabri Jr. to construct a triangle and its medians. The dynamic nature of the software allows learners to measure the lengths of the segments in the triangle and conjecture and verify...
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Investigating Segments in a Triangle
Pupils investigate segments in a triangle by constructing a triangle using Cabri Jr. They construct segments within the triangle that lie on the midpoints of the triangle's sides. Learners then compare the slope of base of the triangle...
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Investigating Segments in a Right Triangle
High schoolers explore the concept of right triangles as they construct a right triangle using Cabri Jr. Learners find the midpoint of the hypotenuse and construct a line from the midpoint to the vertex of the right angle. They then...
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Measuring Angles in a Triangle
High schoolers investigate the sum of the measures of the angles of a triangle. They draw a triangle and measure the interior angles. Using Cabri Jr., learners find the sum of the measures of the interior angles. The lesson provides an...
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Measuring the Earth (Eratoshenes' method)
Sixth graders engage in problem solving, communicating, reasoning, and connecting to represent and solve problems, using geometric models.
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Construction Circles
Pupils investigate the number of points needed to determine a unique circle in a plane. Using Cabri Jr., they apply construction techniques to generate a circle that passes through a given number of points.