Virginia Department of Education
Distance and Midpoint Formulas
Small groups work through two guided activities to derive the distance and midpoint formulas for the coordinate plane. The activities begin with concrete examples and move to abstract.
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Geometry: Practical Applications of the Distance Formula
Students, working independently and in groups, apply the distance formula to practical situations. After solving various problems, students in pairs design coordinate planes from the school blue print to measure the distance from the...
EngageNY
An Appearance of Complex Numbers 1
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
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Radical Transformations
Students transform the square root function graphically. For this transforming the square root function graphically lesson, students use their Ti-Nspire to change the a, b, and c values of th square root graph. Students...
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Distance Formula
Students create ways to find the number of square miles that lie in a triangle having vertices at A, B, and C. They compute the distance between two points and use Heron's formula to find the area of the triangle. Finally, students...
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Distance Formula
Learners determine the distance between two points. In this distance formula lesson, groups of students determine the distance between points in real life situations. They calculate the distance from one point in the...
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Distance Formula
Young scholars watch teacher demonstration of distance formula, view non-collinear cities on maps, plot points on coordinate plane, evaluate square roots, compute distance between two points, and use Heron's formula to find area of...
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CSI Investigation
Students solve real life situation using the Pythagorean Theorem. In this geometry lesson, students calculate the length, midpoint and slope of segments. They solve word problems using properties of square roots.
EngageNY
From Circle-ometry to Trigonometry
Can you use triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.
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Picking Pythagoras
Students discover that side measurement is used in determining angle classification of a triangle. By squaring sides, they predict whether triangles be right, obtuse, or acute. They prove the Pythagorean Theorem and use it to solve...
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Linear Piecewise Functions
Students explore the concept of piecewise functions. In this piecewise functions lesson, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students write...
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Finding the Measure of Segments
Students observe and solve examples of betweenness, ruler postulate, and segment addition postulate. They complete the Finding the Measure of Segments worksheet using the distance formula.
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Sloping and Intersecting a Linear Function
Students examine and discuss typical linear equations, and the difference between a linear and nonlinear equation. They observe examples of linear equations and complete a worksheet.