Distance Formula Teacher Resources

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Learners explore the concept of the distance formula. In this distance formula lesson, pupils use the distance formula to determine the lengths of segments in the coordinate plane. They use the Pythagorean Theorem to determine the length of a segment.
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. Answer Key included.
In this college level mathematics worksheet, students solve use the Pythagorean Theorem to find the missing side of a right triangle and explore the connection between the Pythagorean Theorem and the distance formula.   Students also determine the midpoint of a line segment.  The two page worksheet contains thirty-two problems.  Answers are included. 
In this heliopause worksheet, students read about the balance between the solar wind pressure and the interstellar medium pressure and the relationship between these two pressures. They are given an inquiry problem and enter the bow shock distance formula and find a range of distances to the heliopause.
Students explore radical equations.  For this Algebra II lesson, students solve radical equation graphically.  Students examine the roots of quadratic and cubic equations. TI-nspire handheld and appropriate application necessary.
Students identify positive and negative angles using the Unit Circle. In this pre-calculus lesson plan, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They calculate the basic trigonometric functions.
Students determine how the Pythagorean Theorem and the distance formula are related. In this rational expressions instructional activity, students apply radicals to solve real world problems. Students take a long piece of string to create a triangle and identify the important parts of the triangle. Students also draw a map of how to get from their home to school.
Using a longitude and latitude map that relates to the coordinate grid and job description cards that come with places to travel to, young mathematical travelers use the distance formula and The Pythagorean Theorem to answer questions and report on their travels and overall cost. Students use specific websites to gather information.
Study the properties of the diagonals of quadrilaterals in this quadrilaterals lesson plan. Find the distance, midpoint, and slope of line segments when given two points. Learners determine the slope of a line given the coordinate plane with two points labeled and finddistance using the distance formula. They also draw and construct representations of two- and three-dimensional geometric objects.
In this using slope within geometric problems worksheet, students solve 3 graphing problems. Students graph vertices on a coordinate plane. Students use slope and distance formulas to identify the type of quadrilateral.
Eleventh graders explore ellipses.  In this Algebra II instructional activity, 11th graders construct an ellipse using the Ti-nspire handheld and investigate the sum of the distance from a point on an ellipse to its foci.  Students use that information to derive the general equation for an ellipse centered at the origin. 
Eleventh graders investigate ellipses.  In this Algebra II activity, 11th graders explore an ellipse from a geometric perspective.  Students derive the equation of an ellipse with the center at the origin. 
In this equations of circles worksheet, students solve 4 short answer problems. Students find an equation of a circle given the center and radius.
In this ellipses and hyperbolas worksheet, students solve 8 short answer and graphing problems. Students graph ellipses, hyperbolas, and parabolas given an equation. Students identify the foci of an ellipse or hyperbola.
Learners 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 calculations for simple cases and technology for more-complicated cases. Pupils determine the level of accuracy needed for computations involving measurement and irrational numbers.
In this equations and inequalities activity, 9th graders solve and complete 14 different multiple choice problems. First, they name an example of the commutative property of addition. Then, students use the distance formula to determine the value of a variable given the distance and rate. They also find the width of a rectangle given its perimeter.
In this pi worksheet, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi. Students convert a sum written in summation notation into a Riemann sum. Students compare two strategies for computing estimates of arc length.
For this geometry midpoints worksheet, 10th graders solve and complete 18 various types of problems that relate to midpoints of figures. First, they use the diagram of a triangle shown to determine the midpoints for each of the sides. Then, students find the coordinates of the endpoints of each mid segment. In addition, they use the slope and distance formula to verify the Mid segment Theorem for each given mid segment.
Pupils solve problems using formulas.  In this math lesson, students use various formulas to solve word problems.  Pupils use area and volume formulas to find area of flags and volume of boxes.  Students solve word problems involving time and distance.
Students analyze distance and graphing. In this geometry lesson, students work problems on a coordinate grid calculating the distance. They apply the Pythagorean Theorem to their data and answer.

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