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Interactive
CK-12 Foundation

Change of Base: River Logs

For Students 11th - Higher Ed Standards
Using the answers to the challenge questions, class members work through simplifying a complex logarithmic expression that requires changing bases. Pupils drag values to fill in the steps to arrive at a numerical equivalent expression.
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Lesson Plan
Curated OER

Number Base Clocks

For Teachers 4th - 9th
Young scholars investigate place value in base ten. In this number sense instructional activity, students participate in an online instructional activity at www.shodor.org/interactivate/activities/NumberBaseClocks and demonstrate how to...
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Worksheet
Curated OER

Exponents with Base 10

For Students 7th - 9th
In this exponents with base ten worksheet, learners write exponents in standard form and in scientific notation. This two-page worksheet contains 27 problems. Answers are provided on the last page.
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Lesson Plan
EngageNY

Changing the Base

For Teachers 10th - 12th Standards
I can't calculate a base-2 logarithm since my calculator doesn't have a base-2 log key. Young mathematicians use the change of base formula to extend the properties of logarithms to all bases. Among these bases is the natural log base,...
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Lesson Plan
Alabama Learning Exchange

Converting Numbers from Base 10 to Binary, Octal, and Hexadecimal

For Students 9th - 12th
How many different ways can you write the same number? Learners experiment with writing numbers using different bases. They progress from base 10 to base two, eight, and six.
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Lesson Plan
EngageNY

Base 10 and Scientific Notation

For Teachers 9th - 12th Standards
Use a resource on which you can base your lesson on base 10 and scientific notation. The second installment of a 35-part module presents scholars with a review of scientific notation. After getting comfortable with scientific notation,...
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Assessment
Pearson

Performance Based Assessment Practice Test (Algebra II)

For Students 10th - 11th Standards
A full-length practice test like this one, especially one that includes a number of open response questions, is a phenomenal tool in a class as rigorous as algebra 2. Here the learners can really get that hands-on experience wrestling...
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Worksheet
Curated OER

The Change of Base Formula: Logarithms

For Students 9th - 12th
In this logarithms activity, students solve 25 short answer problems.  Students use the change of base formula to solve each logarithmic expression in the calculator.
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Lesson Plan
Curated OER

Decimal Multiplication

For Teachers 6th - 10th
Students use base ten blocks to lead them in the concept of understanding multiplying numbers with decimals. In this multiplication of decimals lesson plan, students also use digital activities to help them with the multiplication.
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Lesson Plan
Curated OER

Math: Number Systems

For Teachers 10th - 12th
Students examine other number systems, particularly the binary number system. They discover how to convert from decimal to other base systems. Students analyze the advantages and disadvantages of using the coded decimals.
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Worksheet
Curated OER

Find the missing base

For Students 8th - 12th
In this missing base worksheet, learners find the value of the variable in problems with exponents. Students complete 6 problems.
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Lesson Planet Article
Curated OER

Calculator-Based Lessons Help Examine Real-World Data

For Teachers 6th - 9th
Students may determine equations based on graphs and regression models.
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Worksheet
Curated OER

Base Five Addition and Multiplication

For Students 9th - 12th
In this base five worksheet, students complete a base five multiplication table and a base five addition table. Tables contain the first nine digits in base five (1-14). This two page worksheet contains 162 problems.
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Worksheet
Curated OER

Exponents: Positive and Negative Bases

For Students 9th - 11th
In this exponent learning exercise, students solve exponent problems containing positive and negative bases.  They multiply integers.  This four-page learning exercise contains 27 problems.  Answers are provided on the last page.
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Worksheet
Curated OER

Energy Through the Ages

For Students 7th - 9th
In this energy through the ages worksheet, students read about the history of energy use beginning with early civilization and the use of water wheels for the production of energy to hydrocarbon-based coal, oil and natural gas of today....
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Worksheet
Curated OER

Exponents: Positive and Negative Bases

For Students 9th - 12th
In this exponents worksheet, students solve 18 exponent problems.  Students use exponent rules to simplify exponents with positive and negative bases.
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Worksheet
Curated OER

Exponential Equations - unlike bases

For Students 10th - 11th
In this algebra learning exercise, students solve exponential functions using common bases. They have to solv for the missing variable. There are 20 questions.
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PPT
BW Walch

Solving Exponential Equations

For Teachers 9th - 10th Standards
Introducing exponential equations means learners need to take all the rules and tricks they learned for exponents and actually apply them. This presentation comes to the rescue by touching on changing bases in exponential equations after...
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Lesson Plan
EngageNY

The Graph of the Natural Logarithm Function

For Teachers 10th - 12th Standards
If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...
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Assessment
1
1
Balanced Assessment

Genetic Codes

For Students 11th - 12th Standards
Determine the number of possible genetic codes. Class members are challenged to determine the number of possibilities of a genetic code that is 20 bases long. They continue to explore the average lengths of broken RNA molecules.
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Lesson Plan
Curated OER

Babylonian Mathematics I

For Teachers 8th - 10th
Learners examine a Babylonian clay tablet and the mathematics found on it as a catalyst to investigate a variety of mathematical ideas. They work with prime numbers, classify numbers as whole, integer, rational, or irrational and use...
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Interactive
1
1
NASA

Understanding the Effects of Differences in Speed—Problem Set D

For Teachers 5th - 9th Standards
Fall back and slow down. The fourth lesson in a six-part series on air traffic control leads the class to find the difference in distance traveled based upon the difference in speed. Pupils work through a problem related to walking...
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Lesson Plan
Curated OER

"Mind Reader" Math Trick

For Teachers 3rd - 12th
Students perform a math-based card trick and explain the concepts behind the trick. They video tape classmates performing the trick. Finally, they write a paragraph explaining the trick.
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Lesson Plan
West Contra Costa Unified School District

Writing Exponential Functions Based on Data

For Students 9th - 12th Standards
Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of each....

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