Curated OER
The Distance and Midpoint Formula
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. Â Â Students also...
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.
Curated OER
Midpoints and Segment Congruence
In this midpoint worksheet, learners use a number line to find the midpoint of a line segment. Next, they find the midpoint of a line using the coordinate plane. Examples of how to use each method are given at the beginning of the...
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
CK-12 Foundation
Trapezoidal and Midpoint Approximations: Area of a Skirt
When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...
Illustrative Mathematics
Extensions, Bisections and Dissections in a Rectangle
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
Curated OER
Basic Calculus II: Numerical Integration
In this numerical integration worksheet, students approximate the value of an integral using the methods taught in the class. They use left-hand Riemann sums, right-hand Riemann sums, the midpoint method and the trapezoidal rule.
Curated OER
Trapezoid and Midpoint Rule
Students solve problems of area using the trapezoid and midpoint rule. In this calculus lesson, students take the derivative of the functions as they approximate the area under a curve. They calculate the exact area using the area formula.
Curated OER
Semicircles
In this geometry worksheet, 10th graders are presented with a problem involving semicircles. The diagram appears simple, though it turns out to have a many segments to be labeled with variables. The key to solving the problem is...
EngageNY
Distance and Complex Numbers 1
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
Virginia Department of Education
Similar Triangles
Pupils work in pairs to investigate what it takes to prove that two triangles are similar. They work through various shortcuts to find which are enough to show a similarity relationship between the triangles. Small groups work with the...
Illustrative Mathematics
Bank Shot
Young geometers become pool sharks in this analysis of the angles and lengths of a trick shot. By using angles of incidence and reflection to develop similar triangles, learners plan the exact placement of balls to make the shot....
101 Questions
Square Partitions
Challenge your classes while developing their problem-solving skills. A square is divided neatly into four equal triangles by its diagonals until one diagonal is moved from a vertex to the midpoint of one side. Now, scholars must devise...
GeoGebra
Yardwork in Segments
Stretch your knowledge of ratios to the coordinate plane. The interactive allows pupils to set the endpoints of a directed line segment and form a right triangle. Using rubber bands, users visualize the line segment divided into equal...
Curated OER
Triangulation Experiment
In this triangulation worksheet, students solve and complete 11 steps of an experiment to determine the distance to a far away object using triangulation and trigonometry. First, they select a far away object and create a baseline far...
Curated OER
Fair Shares and Geometric Spirals
Students 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.
Curated OER
Coordinate Proofs
Students explore the concept of coordinate proofs. In this coordinate proofs lesson, students write coordinate proofs using properties of distance, slope, and midpoint. Students discuss why it is sometimes beneficial to double the...
Curated OER
Linear Functions
In this linear functions learning exercise, students define 5 terms. They solve 6 problems for the specified term. Students graph 3 linear equations. They write the equations for 14 problems using the given information. There are 28...
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Curated OER
Numerical Integration
In this math worksheet, students practice using the number approximations to apply them to the integrations. They compare the numerical methods and graph the results in the data table.
Curated OER
Math: Equal Area Triangles
Students examine a math worksheet and determine how to divide a single triangle into four of equal area. Using geometric principles, they sketch two additional ways to divide into into four equal triangles. To conclude, students...
Curated OER
Quadrilateral within Quadrilaterals
Students investigate the properties of quadrilaterals. In this geometry lesson plan, students solve problems dealing with construction and designs. They work with quadrilaterals, midpoints and parallelograms.
Curated OER
Determining the Uniqueness of a Circle
Middle schoolers use this lesson 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...
Curated OER
Number in Statistics
Second graders add two and three digit numbers. They are taught how to calculate the mean and the midpoint. Students are shown how to calculate symmetrical set of numbers. They are shown a model adding the same to each increases the...