Interactive
CK-12 Foundation

Solving Logarithmic Equations

For Students 11th - Higher Ed Standards
Pupils follow a chain of reasoning in deconstructing a logarithmic equation step by step. Using their knowledge of logarithms, learners compare the solutions of logarithmic equations when the bases are changed.
Interactive
CK-12 Foundation

Recursive Formulas: Fibonacci Sequence

For Students 11th - Higher Ed Standards
Explore the building blocks of the Fibonacci Sequence. Given the lengths of sides of squares, pupils deduce the pattern to determine the lengths of two more squares. Learners continue to work with recursive formulas to generate numerical...
Interactive
CK-12 Foundation

Limit of a Sequence: Finding the Limit of a Sequence (Part 1)

For Students 11th - Higher Ed
Put a squeeze on a sequence. An interactive provides a graphical display of a sequence. Using the graph, learners determine the algebraic expression for the sequence. Pupils use the general definition of a limit of a sequence to find the...
Interactive
CK-12 Foundation

Limit of a Sequence: Finding the Limit of a Sequence (Part 2)

For Students 11th - Higher Ed
What does it mean if young mathematicians cannot put the squeeze on a sequence? Learners investigate a divergent sequence and find the formula for the nth term. Using the definition of a limit of a sequence, pupils try to find the limit...
Interactive
CK-12 Foundation

Limit of a Sequence: Finding the Limit of a Sequence (Part 3)

For Students 11th - Higher Ed
Limit the view of sequences on both sides of the axis. Learners explore an alternating sign sequence. Using a graphical display of the first 10 terms of the sequence, pupils determine the formula for the general term. they then use the...
Interactive
CK-12 Foundation

Limit of a Sequence: Finding the Limit of a Sequence (Part 4)

For Students 11th - Higher Ed
Take a look at another alternating sequence. The resource provides a graphical display of a sequence that alternates between two values. Pupils use the display to determine whether the sequence has a limit. Given a theory of limit,...
Interactive
CK-12 Foundation

Equations of Circles: Finding the Equation of a Circle

For Students 11th - Higher Ed Standards
It's all about location and size. With the aid of the interactive, pupils explore the relationship between the location and size of a circle and its equation. The learners use that relationship to determine the equation of a circle given...
Interactive
CK-12 Foundation

Circles Centered at the Origin: The Map of the Beta Solar System

For Students 11th - Higher Ed Standards
Calculate galactic orbits in a far-out resource. Pupils drag a point on a circle to graph the orbit of a fictional planet. Using the equation, they find points through which the orbit passes. To finish the simulation, users determine the...
Interactive
CK-12 Foundation

Circles Centered at the Origin: Dog

For Students 11th - Higher Ed Standards
How many bones can a dog on a leash reach? Class members move a dog on the end of its leash and determine whether it can reach bones located at specific points. The learners see whether the bone lies on the circle or outside of the...
Interactive
CK-12 Foundation

Circles Not Centered at the Origin: Room Rearranging

For Students 11th - Higher Ed Standards
Where does a circular table fit best? Individuals move a circle representing a table into different quadrants of a room. Pupils determine which equation of the circle will place the table in the appropriate quadrant. A discussion...
Interactive
CK-12 Foundation

Parametric Equations: Protecting the Village

For Students 11th - Higher Ed
Determine the location of the pillars in time. Given a table of values for two parametric equations, pupils complete the table to determine the location and time it takes to build the pillars. Learners plot the points representing...
PPT
University of Texas

A Library of Parent Functions

For Students 9th - 12th Standards
Don't think this lesson is for Mom and Dad; parent functions are all for your high schoolers. Flip through a presentation with a focus slide on each type of graph and its characteristics. Some examples are included but the...
PPT
University of Texas

Complex Numbers

For Students 9th - 12th Standards
Are complex numbers and binomials similar? This stack of slides provides an introduction to complex numbers and shows how to operate with them. The worked examples show a connection between operating with binomials and operating with...
Lesson Plan
West Contra Costa Unified School District

Polynomial Division

For Teachers 10th - 12th Standards
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
Lesson Plan
Curated OER

Intro to Civil Engineering and Hydrology

For Teachers 11th - 12th
Students identify the processes involved in the water cycle. In this math lesson, students explain what civil engineers and hydrologist do. They watch a video about flooding in Texas.
Lesson Plan
Curated OER

Traffic Problem- Solved Using Microsoft Excel

For Teachers 9th - 12th
Students relate algebra to real life scenario. In this algebra lesson, students design a plan to help traffic flow smoothly using velocity and speed. This assignment is done using Microsoft Excel.
Worksheet
Curated OER

Find the Shortest Distance

For Students 10th - 12th
In this problem solving activity learners solve two problems regarding finding the shortest route.  One problem is finding the shortest linear length given dimensions and the other problem is finding the shortest route as defined as...
Lesson Plan
Curated OER

The World Population: Logistic Model

For Teachers 10th - 12th
Young scholars explore the various uses of the logistic function. Students use the internet to collect world population data and find a logistic model for their data and use their chosen model to predict future populations.
Worksheet
Curated OER

The Babylonian Algorithm, Limits and Rates of Change

For Students Higher Ed
In this successive approximations learning exercise, students use the Babylonian algorithm to determine the roots of given numbers. They identify the limits of a function, and compute the rate of change in a linear function. This...
Worksheet
Curated OER

Turvey of Related Rates

For Students 9th - 10th
In this algebra activity, students practice using related rates while solving word puzzles. They rewrite words using the correct math to do so. There is an answer key with this assignment.
Worksheet
Curated OER

Eight Integrals Using Partial Fractions

For Students 12th - Higher Ed
In this integral worksheet, students integrate eight problems using partial fraction decomposition.  A review on partial fractions is included at the top of the worksheet.
Worksheet
Curated OER

Why Does the Rule of 72 Work

For Students 10th - 11th
In this algebra worksheet, students solve a word problem by rewriting it using algebraic symbols. They calculate the interest compounded over a period of time using the Interest Formula. This worksheet includes 1 problem and an answer key.
Worksheet
Curated OER

Limits of Trig Functions

For Students 9th - 11th
In this trigonometry worksheet, students solve 14 problems with trig functions by calculating and solving for the limit.
Worksheet
Curated OER

Higher Order Differentiation and Implicit Differentiation

For Students 9th - Higher Ed
In this differentiation worksheet, students calculate the first and second order derivatives and use implicit differentiation to solve 4 questions with multiple parts.

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