Worksheet
Curated OER

Lesson 19: Rational Functions and Long Division

For Students 10th - 12th
Explore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page worksheet contains...
Lesson Plan
Curated OER

Maximize It!

For Teachers 4th - 6th
Pupils 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...
Lesson Plan
Curated OER

Dividing Integer Powers

For Teachers 8th - 12th
Work on the concept of using division with integer powers. The skills of using exponents and multiplying powers should be in place before attempting this lesson. The lesson provides examples for the teacher to use for direct instruction.
Lesson Plan
1
1
Illustrative Mathematics

Egyptian Fractions II

For Teachers 8th - 12th Standards
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...
Lesson Plan
Curated OER

Volumes of Rectangular Prisms

For Teachers 9th - 12th Standards
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.
Lesson Plan
Curated OER

Factoring Trinomials

For Teachers 9th - 11th
Students factor trinomials using algebra tiles and blocks. In this algebra lesson, students complete a trinomials station activity. They work backwords to find their answers and discuss their steps in a group.
Worksheet
Curated OER

Modeling the Keeling Curve with Excel

For Students 9th - 12th
In this modeling the Keeling Curve worksheet, students use given data beginning in 1960 to create a mathematical model for the changes in atmospheric carbon dioxide over time. Students manipulate the equation to predict the carbon...
Lesson Plan
Curated OER

The Fundamental Theorem of Calculus and Properties of the Definite Integral

For Teachers 11th - Higher Ed
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...
Lesson Plan
Curated OER

Conjectures and Conclusions

For Teachers 9th - 10th
Students draw conclusions and make conjectures given a specific scenario. In this geometry instructional activity, students model real life scenarios using properties of triangles. They model number facts and explain why the outcome is...
Worksheet
Curated OER

Rational Functions and Their Graphs

For Students 11th
In this Algebra II worksheet, 11th graders examine the graphs of rational functions, identifying the points of discontinuity and the vertical and horizontal asymptotes.  The three page worksheet contains explanation of topic,...
Lesson Plan
Curated OER

The Box Problem

For Teachers 8th - 10th
Students create graphic, algebraic and verbal ideas of functions. In this algebra lesson, students graph functions and identify the zeros of the functions. They find the domain and range and classify functions as relation or not.
Lesson Plan
Curated OER

Model Data with Quadratic Functions

For Teachers 8th - 11th
Learners model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
Worksheet
Curated OER

Notes to Quadratic Equations

For Students 9th - 12th
In this quadratic equations activity, students read notes about graphing, factoring, square roots, completing the square, and the quadratic formula. Students read 2 1/2 pages of notes.
Lesson Plan
Curated OER

Functions

For Teachers 7th - 10th
Students explore a variety of functions. They recognize and describe functions and use linear functions to describe situations. Students find the domain and range of linear functions and graph rational expressions.
Worksheet
Curated OER

Worksheet 18 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, learners practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.
Lesson Plan
Curated OER

The Mandelbrot Set

For Teachers 10th - 12th
Learners explore the concept of Mandelbrot sets and Julia sets. For this Mandelbrot and Julia set lesson, students use a function integrator applet to investigate two-variable function iterations. Learners use Julia set and Mandelbrot...
Lesson Plan
Curated OER

The Corner Problem

For Teachers 11th - Higher Ed
Students explore the concept of the corner problem. For this corner problem lesson, students use the TI-NSpire to determine the maximum length a rod can be and still pass horizontally around a corner. Students use similar triangles to...
Worksheet
Curated OER

Mathematical Wackie Wordies

For Students 9th
In this word learning exercise, 9th graders examine pictures and write a mathematical phrase to describe the picture.  This one-page learning exercise contains 25 problems.  Answers are provided.
Worksheet
Curated OER

Integrating Functions

For Students 6th - 8th
In this math worksheet, middle schoolers find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
Worksheet
Curated OER

Worksheet 13

For Students 11th - Higher Ed
In this math worksheet, learners define how for a given value of x, the series S(x) converges. Then they prove how convergence can be absolute.
Worksheet
Curated OER

Numerical Analysis: Introduction to Approximation Theory

For Students Higher Ed
In this introduction to approximation theory, students compute the slope and intercept of a line. They describe nonlinear relationships. This four page worksheet contains approximately five problems.
Worksheet
Curated OER

New York State Testing Program Mathematics Test Book 3

For Students 8th
In this eighth grade instructional activity, 8th graders assess their knowledge of the major topics of algebra and geometry covered in eighth grade.   The lesson contains twelve questions and a mathematics reference sheet.
Lesson Plan
Curated OER

Will Exams Be Cancelled?

For Teachers 8th - 11th Standards
If the flu outbreak continues, exams will have to be canceled. Investigate the properties of exponential and logarithmic functions. For this algebra lesson, students use the TI to examine and differentiate between exponential growth and...
Lesson Plan
Pennsylvania Department of Education

Extending Pattern Understandings

For Teachers Pre-K - 2nd
Learners use shapes and manipulatives to demonstrate patterns. In this patterns lesson plan, students also break up patterns to identify a pattern unit.