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Illustrative Mathematics

Computations with Complex Numbers

For Teachers 9th - 12th Standards
This quick set of problems provides a brief refresher on the arithmetic of complex numbers. Learners need to multiply, add and subtract, and remember features of i when raised to a power. Included solutions are clear enough that learners...
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Worksheet
Curated OER

Quiz: Solve for the Unknown - Logarithms

For Students 10th - 12th
For this logarithm worksheet, students solve for the unknown. With the assistance of a graphing calculator, they identify the value of one variable. This one-page worksheet includes ten problems which contain one variable with integers.
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Unit Plan
Curated OER

Linear and Exponential Functions

For Teachers 8th - 11th Standards
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
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Lesson Plan
Curated OER

Linear and Exponential Models

For Teachers 9th - 12th
High schoolers investigate the differences between linear and exponential models.  In this linear and exponential models lesson, students make a table of given data.  High schoolers determine if the data is linear or exponential by...
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Lesson Plan
Curated OER

Linear and Exponential Models

For Teachers 10th - 12th
Learners linearize data to determine if an exponential model is suitable. In this linearizing data to determine if an exponential model is suitable lesson, students graph the residuals of sets of data that appear to have an exponential...
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Worksheet
Curated OER

Algebraic Atrocities

For Students 9th - Higher Ed
In this algebra activity, students prove whether or not the left side of an equation equals the right side.  If it is false, students correct the equation. Equations include fractions, trigonometric identities, logarithms, square roots,...
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Worksheet
Curated OER

Algebra Skills Sections 23

For Students 9th - 12th
In this algebra skills worksheet, students solve/simplify 20 short answer problems. Students solve/simplify quadratic, absolute value, exponential, logarithmic, trigonometric, and radical equations/expressions.
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Lesson Plan
Project Maths

Introduction to e

For Teachers 9th - 12th Standards
First there was pi and now there's e. A discovery-based lesson plan helps learners find a pattern in compound interest as the compounding period changes. Their investigation results in the discovery of the number e. The lesson plan is...
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Lesson Plan
Curated OER

Exponential Functions

For Teachers 11th
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.
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Lesson Plan
Curated OER

College Level Study Guide

For Teachers 11th - Higher Ed
In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
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Lesson Plan
Curated OER

Snail Invasion

For Teachers 9th - 12th Standards
Exponential growth is modeled by learners as they analyze and interpret the data presented in this real-life scenario centered on the destructive invasion of the Giant African Land Snail. Learners get a touch of history and practice...
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Lesson Plan
Curated OER

Leap Into Exponential Functions

For Teachers 8th - 10th
Students use properties of exponents to solve equations. In this algebra lesson, students add, subtract, multiply and divide exponential functions. They graph and differentiate between exponential growth and decay.
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Lesson Plan
Curated OER

Carbon 14 Dating

For Teachers 9th - 12th Standards
Evaluating and analyzing exponential functions will help your archaeologists find the amount of Carbon 14 remaining in a plant in this real-life task centered on carbon dating. Learners will also be introduced to the concept of half-life.
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Unit Plan
Radford University

Earthquake Problem

For Teachers 9th - 12th Standards
Shake up things in the classroom. The unit uses earthquakes to bring a real-life connection to finding arc lengths, logarithms, and equations of circles. Small groups determine whether particular towns would have felt an earthquake after...
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Worksheet
Curated OER

Exponential and Logarithmic Functions

For Students 8th - 10th
For this algebra worksheet, students identify the properties of logs. They solve exponential problems using properties of exponents. There are 6 questions.
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Lesson Plan
Curated OER

What is Log?

For Teachers 9th - 12th Standards
Young mathematicians differentiate between logs and natural logs in this algebra lesson. They solve functions and logarithmic functions. Learners also graph and rewrite the exponential and log functions.
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Lesson Plan
Kenan Fellows

Half-Life

For Teachers 9th - 12th Standards
Scholars shake their way to understanding half-life with the help of candy. They observe and record which side candy lands on to graph the exponential decay in the fifth instructional activity of seven integrating chemistry and algebra....
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Assessment
Achieve

Spread of Disease

For Students 9th - 12th Standards
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
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Handout
Curated OER

Math Handbook: Calculus

For Students 10th - 12th
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
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Lesson Plan
EngageNY

Modeling with Exponential Functions

For Teachers 10th - 12th Standards
These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.
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Unit Plan
Mathematics Vision Project

Module 1: Functions and Their Inverses

For Students 9th - 12th Standards
Nothing better than the original! Help your class understand the relationship of an inverse function to its original function. Learners study the connection between the original function and its inverse through algebraic properties,...
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Lesson Plan
Kenan Fellows

Attack of the Aphids!

For Teachers 10th - Higher Ed Standards
Insects threaten the food production industry, and aphids are one of the big players! Analyzing data of aphid populations gives insight into their behaviors. Learners model the population data of an uninhibited population with an...
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Lesson Plan
Curated OER

Discovering Math Concepts in Advanced Algebra

For Teachers 10th - 12th
Students explore the concept of Chinese contributions in mathematics. In this Chinese contributions in mathematics lesson, students research Chinese achievements in mathematics. Students solve 3x3 systems of equations using the method...
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Lesson Plan
Curated OER

Modeling Natural Disaster with Mathematical Functions

For Teachers 9th
Ninth graders investigate the functional relationship of different environmental phenomena. In this math lesson, 9th graders create models of various natural disasters. They use logarithmic and exponential functions to interpret...

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