Chapman University
Fundamental Theorems of Mathematics
There are four fundamental theorems of mathematics: arithmetic, algebra, calculus, and linear algebra listed here. Each one is described on this poster or handout. The challenge for a student of math is to figure out why they are...
Curated OER
Conjectures and Conclusions
Students draw conclusions and make conjectures given a specific scenario. In this geometry lesson, students model real life scenarios using properties of triangles. They model number facts and explain why the outcome is what it is.
Pennsylvania Department of Education
Extending Pattern Understandings
Students use shapes and manipulatives to demonstrate patterns. In this patterns lesson plan, students also break up patterns to identify a pattern unit.
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Maximize It!
Students design a rectangular box without a lid that has the largest possible volume using the supplied sheet of centimeter graph paper. They work in groups to construct different size boxes to determine the largest possible volume and...
Illustrative Mathematics
Egyptian Fractions II
The Egyptians used unit fractions to describe all other fractions. Your class will rewrite rational expressions in order to deduce information about rational numbers. The activity starts with specific fractions, guides you through a few...
Curated OER
The Apple Orchard Problem
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...
Curated OER
The Fundamental Theorem of Calculus and Properties of the Definite Integral
Students discuss the importance of fundamental theorems in math. In this calculus lesson, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how this...
Curated OER
Students Analyze Data With Scatter Plots
Scatter plot lessons can help students create different types of graphs by hand or with the aid of technology.
Curated OER
Volumes of Rectangular Prisms
High schoolers determine the volume of a rectangular prism. They then maximize and minimize the volume given variable side lengths. Finally, they factor the volume equation to determine the side lengths.
Curated OER
Indeterminate Forms and L'Hopital's Rule
For this limits worksheet, students use Taylor's Theorem to solve two short answer problems. They use L'Hopital's Rule to solve two short answer problems. Students read a two page lesson on limits.
Curated OER
What's in a Name?
Students study the binomial system of naming organisms. They are given a name of an organism and they must draw a picture of what they think the organism looks like. Then they research the organism, find what it really looks like, and...
Curated OER
What's In A Name?
Students explore the concept of the binomial system of nomenclature for classifying organisms. Students travel on a field trip to observe organisms displayed and their common names. Students complete several classroom activities and...
Curated OER
Geometry Practice: Area of Polygons #8
In this area of polygons worksheet, high schoolers solve 7 short answer and multiple choice questions about area. Students find the area of triangles given base and height, or points in the coordinate plane.
Curated OER
The Internal Density and Mass of the Sun
In this sun worksheet, students read about calculating the internal density and mass of the sun. Students use a given formula for the internal density of the sun's gases which students use to solve four mathematical problems.
Curated OER
Wind, Pressure, Force, Calculus and Engineering Connections
Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus lesson, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real life.
Curated OER
Summer 1999, MA 123: Cumulative Review
In this math learning exercise, students work to complete the review for a final part of an Algebra II class. The sheet has review problems.
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The Rational Root Theorem
For this algebra worksheet, 11th graders find the rational roots of an equation, by setting it to zero and solving for x. They can also use synthetic division and p/q to help find and eliminate rational root values. There are 19 problems...
Curated OER
Exploring Infinite Series
Learners analyze geometric series in detail. They determine convergence and sum of geometric series, identify a series that satisfies the alternating series test and utilize a graphing handheld to approximate the sum of a series.
Curated OER
Factoring Trinomials
Learners factor trinomials using patterns and their TI to graph their results and make predictions through this lesson. This is accomplished by solving quadratic equations through FOIL and algebra tiles.
Curated OER
Integration Strategies
In this integration worksheet, students determine the best technique of integration to use. They evaluate given integrals. This one page worksheet contains nine multi-step problems.
Curated OER
Simplifying Rational Expressions
In this algebra worksheet, students identify the properties of rational expressions. They find the domain and range. There are 5 questions with an answer key.
Curated OER
Rational Expressions
In this Algebra II worksheet, 11th graders simplify rational algebraic expressions by factoring and cancelling the common factors. The two page worksheet contains instruction, worked examples, and three practice problems. ...
Curated OER
Algebra I: A Draining Swimming Pool
Young scholars analyze and develop symbolic representations to describe the amount of water left in a pool being pumped out after a given amount of time, with various pumping rates and initial quantities of water in the pool.
Curated OER
Quadratics: Vertex Form
Young scholars practice graphing quadratic equations. They work to solve and equation involving finding the vertex using given formulas. Once their points have been graphed, students determine the direction in which the angle opens....
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