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Assessment
EngageNY

End-of-Module Assessment Task - Algebra 1 (Module 3)

For Students 9th - 10th Standards
Looking for higher-level thinking questions? This assessment provides questions that challenge young mathematicians to think and analyze rather than simply memorize. Topics include piecewise functions, linear modeling, exponential...
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Lesson Plan
Virginia Department of Education

Logarithmic Modeling

For Teachers 10th - 12th
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
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Lesson Plan
Virginia Department of Education

Transformational Graphing

For Students 9th - 12th Standards
Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.
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Lesson Plan
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Curated OER

Bacteria Populations

For Teachers 9th - 12th Standards
Your young microbiologists will interpret and solve exponential equations in this real-world context task set in a hospital research scenario. Learners think in terms of the functions as well as their rates of change. 
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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

Sandia Aerial Tram

For Teachers 9th - 12th Standards
Your learners analyze a table of real-life data in order to write an equation that best models the information. Exponential, quadratic, and linear rates of changes are all possibilities in this task.
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Activity
PBL Pathways

What Should Have Happened on Gilligan's Island?

For Students 10th - Higher Ed Standards
"Just sit right back and you'll hear a tale ..." Gilligan's Island is a classic that spans generations and offers a problem-solving opportunity for scholars. Take a project-based learning approach to examine the population of the island....
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Interactive
CK-12 Foundation

Geometric Sequences: Bacteria Colony

For Students 11th - Higher Ed Standards
Show budding mathematicians how to model a diminishing bacteria colony two ways—graphically and algebraically. Using the coordinate axis, pupils create a graph to represent the decay of a bacteria colony. They determine the number of...
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Activity
101 Questions

Fry's Bank

For Students 9th - 12th Standards
If money was left in an interest-earning account for 1,000 years, how much would it increase? Viewers watch a clip from a show about the future when someone learns about their balance after 1,000 years. Then, they solve for the amount in...
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Activity
PBL Pathways

Students and Teachers 2

For Students 10th - Higher Ed Standards
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
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Activity
101 Questions

Water Tank Filling

For Teachers 9th - 12th Standards
Grab your classes' attention with a video presentation of a problem to solve. Young scholars develop a plan to predict the time it takes to fill a tank with water. Video footage provides the statistics they need to make their conclusions.
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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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AP Test Prep10:10
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Flipped Math

Calculus AB/BC - Derivatives of cos(x), sin(x), e^x, and ln(x)

For Students 10th - 12th
The shortcuts are not just for polynomial functions. Pupils learn the derivatives of the two basic trigonometric functions, cosine and sine. The video provides the derivatives for exponential and logarithmic functions. Learners work...
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Lesson Plan
Curated OER

Discovering Growth Patterns

For Teachers 7th - 9th
Young scholars explain the differences between linear (arithmetic) and exponential (geometric) growth. They use worksheets imbedded in this lesson plan to help them make predicitions and graph data points.
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Worksheet
Curated OER

Population Models and Qualitative Analysis, Part 2

For Students Higher Ed
For this population model worksheet, students explore models of population growth using the Gompertz growth model and the exponential growth model. They sketch a graph of the slope function and determine possible solutions over time....
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Lesson Plan
Curated OER

Subset Sum

For Teachers 9th - 12th
Students explore the concept of exponential growth.  In this exponential growth lesson, students solve a problem about ensuring fairness in a Tug-of-War.  Students determine which students should be on a team to ensure that each team has...
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Worksheet
Curated OER

Logarithms

For Students 11th - 12th
In this logarithm worksheet, students read given statements about logarithms and determine if the statement is true or false. This one-page worksheet contains approximately 35 problems.
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Worksheet
Curated OER

Population Biology

For Students 7th - 12th
In this population instructional activity, students will compare two graphs; one graph representing steady rate of growth and the other one showing exponential growth. Students will use these graphs to complete 3 short answer questions.
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Lesson Plan
Curated OER

Parent Functions Reference

For Teachers 11th - Higher Ed
For this functions worksheet, students explore the graphs of fifteen parent functions.  This worksheet is meant as a reference for students.
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Lesson Plan
Curated OER

Squaring Function of Natural Numbers

For Teachers 8th
Eighth graders complete problems where they use the definition of exponents to expand the squaring function of natural numbers. In this squaring natural numbers lesson plan, 8th graders also identify squares form 0 - 12 and complete a...
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Lesson Plan
Curated OER

Power Function Inverses

For Teachers 9th - 12th Standards
Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...
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Worksheet
Curated OER

Logarithmic Functions and Their Graphs

For Students 7th - 9th
In this algebra worksheet, students evaluate, graph and solve logarithmic functions. They rewrite log functions and identify different log properties.
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Lesson Plan
Curated OER

Credit Cards and Compound Interests-Exponential Growth

For Teachers 11th
Eleventh graders investigate the way credit cards work when collecting interest. In this algebra lesson, 11th graders investigate the growth of interest exponentially when using a credit card. They calculate what the cheapest rate is to...
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Lesson Plan
Curated OER

Paying College Tuition

For Teachers Pre-K - 12th Standards
The investigation of exponential equation in the context of increasing college tuition costs is explored through this lessib.  Students write exponential equations based on the percent of change of college tuition and use their equations...

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