Illustrative Mathematics
Midpoints of the Sides of a Paralellogram
This task asks learners to prove that the segment joining the midpoints of two sides of a parallelogram is both congruent and parallel to an adjacent side of the parallelogram. The activity would be good to use in a discussion about how...
Curated OER
More Congruent Triangles
In this congruent triangles worksheet, 10th graders solve 6 various forms of problems that include a proof and a word problem. First, they draw and label triangles and indicate the additional pairs of corresponding parts that would have...
College Board
Seeing Is Believing
Students read about AP calculus online. In this calculus lesson, students learn real life usage for calculus. They read about instructors and their experience teaching and incorporating calculus into the real world.
Curated OER
Time-Axis Fallacy and Bayes Theorem
Students determine that knowledge of an event's outcome can affect the probability of the unknown outcome of an event that has already occurred.
Curated OER
Section 6.1-6.2 Precalculus: Trigonometry
In this trigonometry worksheet, learners solve 15 triangle problems. Students use the law of sines and law of cosines to find the missing angles and side lengths of a triangles.
EngageNY
Graphing Systems of Equations
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems.
Curated OER
Worksheet 1
In this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...
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...
Curated OER
The Premises of Geometry
In this geometry worksheet, students solve for missing midpoints, segments and angles using algebraic equations. They use geometric properties to solve these equations. There are 32 questions on 7 different worksheets.
Curated OER
Triangles
In this geometry worksheet, 10th graders solve problems involving triangular inequality. They apply the proofs and theorem of triangles to solve these problems. There is an overview and one question.
Curated OER
Map Coloring
In this math instructional activity, students create a map using different colors. They use a specific pattern and can use only four colors. This instructional activity is a proof of the making of a map using no more than 4 colors. There...
Curated OER
Distance Formula
Students calculate the distance between two points using the distance formula. For this geometry lesson, students derive the distance formula using the Pythagorean Theorem.
Curated OER
Special Segments in a Triangle
In this geometry worksheet, 10th graders review the vocabulary associated with the special segments of a triangle and the associated points of concurrency and solve problems in which they find the indicated missing angle or...
Curated OER
Right Triangles
Learners classify triangles and make connections regarding angle measurements and attributes of acute, right, and obtuse triangles. They listen to teacher define and explain triangles. Everyone imagines a place where a broken wing for a...
Curated OER
Consecutive Numbers
Like all of the Problem Solving units, this one aims to introduce young scholars to the underlying ideas of mathematics through a problem. The problem here requires a knowledge of arithmetic and the use of some algebra. For this unit we...
Curated OER
As the Bird Flies
Students investigate the properties of lines and congruent triangle theorems as well as apply geometric properties and relationships to real-world mathematical problems. Given two different scenarios, they examine maps that have been...
Curated OER
Properties of Geometry
In this properties of geometry learning exercise, 10th graders solve and complete 12 different problems that include various theorems. First, they draw a figure that illustrates the SAS inequality property. Then, students prove that two...
Curated OER
NON-EUCLIDEAN GEOMETRY.
Students study relationships between angles, side lengths, perimeters, areas and volumes of similar objects. For this lesson students also create and critique inductive and deductive arguments concerning congruency, similarity and the...
Curated OER
Linear Systems: Symmetric Matrices
In this symmetric matrices worksheet, students explore the characteristics of symmetric matrices. This two-page worksheet contains examples and explanations concerning symmetric matrices. Two problems are provided to solve.
Curated OER
Midpoint
In this geometry activity, 10th graders use the concept of midpoint of a line segment to solve problems in which they determine the length of the indicated segments. The one page activity...
Curated OER
Complex Analysis: Harmonic Functions
In this harmonic function learning exercise, students explore harmonic functions and construct a harmonic conjugate. This three-page learning exercise contains three problems, with explanations and examples.
Curated OER
Poppy Meets Pythagoras
Eighth graders find connections between numbers in a table; use Pythagoras' theorem in a general algebraic form; and measure accurately from a scale drawing to find a method that might enable the helicopter to land inside a rectangular...
Curated OER
Motion in a Circle
Students explore uniform circular motion, and the relation of its frequency of N revolutions/sec with the peripheral velocity v and with the rotation period T. They examine how uniform circular motion is a type of accelerated motion.
Curated OER
Patterns in Fractals
Students explore the concept of fractal patterns. In this fractal pattern lesson, students use an applet about the Hilbert Curve to answer questions about rectangles and other polygons. Students derive the fractal pattern when dividing...