Curated OER
Relationship between tangent, secant side length
In this calculus worksheet, students calculate the relationship between a line of tangency and a secant side length. They are given the formulas to solve their problems. There are 9 problems.
Curated OER
Measuring Length: Practice A
Ninth graders investigate the segment addition postulate. In this geometry lesson, 9th graders explore the difference between equal and congruent in relation to segment length. The lesson includes an algebra application and a...
Curated OER
Exploring Harmonic Conjugates
High schoolers investigate harmonic conjugates using Cabri Software or the Ti Calculator to analyze harmonics. They explore different angles measurements as they move their circles around and solve problems.
Curated OER
Bisecting Angles and Segments
Young scholars bisect angles and segments using a mira. They measure the original angles and segments and the angles and segments formed by bisecting to better see the relationship between them.
Curated OER
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...
Curated OER
Parallels and Distance
In this parallels and distance worksheet, 10th graders solve 7 different problems related to the distance between a point and a line and the distance between parallel lines. First, they draw the segment that represents the distance...
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...
Alabama Learning Exchange
Mirror, Mirror on the Wall: Reflections of Light
Why can we see our reflection in a window but not a brick wall? Young physicists learn the Law of Reflection and various light properties that help them answer this and other questions about reflection. Use the PowerPoint to introduce...
Illustrative Mathematics
Satellite
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and...
Alabama Learning Exchange
How Old is Your Money?
Elementary learners explore coin mint dates. First, they listen to the book Alexander Who Used to be Rich Last Sunday by Judith Viorst. They then sort a collection of coins according to their mint date and put them in order from oldest...
Curated OER
Proportional Segments Between Parallel Lines
Students identify similar triangles. In this proportional segments lesson, students identify corresponding sides, set up ratios, and find the length of the missing side of a triangle. They use the parallel/proportionality...
Curated OER
Parallels and Distance
For this parallels and distance worksheet, 10th graders solve 8 problems related to parallels of lines and the distance between each line. First, they draw the segment that represents the distance indicated in each figure. Then, students...
Curated OER
Studying Special Segments in Triangles
Students investigate special segments in triangles. In this geometry lesson, students graph, compare, estimate and predict findings based on their data. They differentiate between similarity and congruence of triangles.
Curated OER
Finding the Measure of Segments
Young scholars 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.
Curated OER
Angles of Elevation and Depression
In this angles of elevation and depression worksheet, 10th graders solve 6 word problems that include finding angles of elevation and depression. They solve each problem, rounding the measures of segments to the nearest hundredth and...
Curated OER
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...
Curated OER
Similarity
In this similarity learning exercise, 10th graders solve and complete 14 different types of problems. First, they find the length of each segment given two lines parallel. Then, students find the measure of each segment of a...
Curated OER
Sail Problem
High schoolers explore the proportional relationships involved in multiple parallel lines being cut by a transverse line. They complete a sail design problem, that involves finding the lengths of pieces of fabric along the edge of a sail...
Illustrative Mathematics
Two Wheels and a Belt
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Illustrative Mathematics
Dilating a Line
High School geometers verify through experimentation certain properties about dilations. This multi-step problem challenges them to construct examples of dilations to verify specific facts, the final step provides an opportunity to more...
Curated OER
Everyday Mathematics at Home
Send this information home with your young learners. Adults, siblings, or friends can help youngsters learn how to measure! This gives basic tips and suggests having the child draw a series of lines, and then use their 10-centimeter...
EngageNY
Square Roots
Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...
EngageNY
Similarity and the Angle Bisector Theorem
Identifying and verifying reproducible patterns in mathematics is an essential skill. Mathematicians identify the relationship of sides when an angle is bisected in a triangle. Once the pupils determine the relationship, they prove it to...
Curated OER
Algebra/Geometry Institute Summer 2007 - Perimeter of Polygons
Sixth graders find the perimeters of polygons and use perimeters to form polygons. In this perimeter lesson, 6th graders study vocabulary associated with finding perimeter such as polygon, line segment, variable, and formula. They make...