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Handout
Mt. San Antonio Collage

Exponential Growth and Decay

For Students 9th - 12th Standards
Start with the basics and move up the exponential ladder to master a variety of problem-solving and application problems. The problems are heavy on exponential growth and decay, compound interest, and natural log.  
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Lesson Plan
EngageNY

The Power of Exponential Growth

For Students 9th - 10th Standards
How do you make a penny grow to $5,000 in just 15 days? Use the examples in this instructional activity to explore the concept of exponential growth and its comparison to linear models. Pupils come to understand that exponential growth...
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Lesson Plan
EngageNY

Arithmetic and Geometric Sequences

For Students 9th - 10th Standards
Arithmetic and geometric sequences are linear and geometric patterns. Help pupils understand the relationship and see the connection with an activity that asks them to write the rules and classify the patterns correctly. A sorting...
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Lesson Plan
National Research Center for Career and Technical Education

Finance: Depreciation (Double Declining)

For Teachers 6th - 12th Standards
Of particular interest to a group of business and finance pupils, this lesson plan explores depreciation of automobile values by comparing the double declining balance to the straight line method. Mostly this is done through a slide...
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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

Is There a Limit to Which Side You Can Take?

For Teachers 9th - 12th Standards
Calculus students find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.
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Lesson Plan
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Texas Instruments

Is It or Isn't It Proportional

For Teachers 6th - 12th Standards
How can you tell if number relationships are proportional? Mathematicians investigate proportional relationships. They compare and contrast functions and graphs to determine the characteristics of proportional relationships, as well as...
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Lesson Plan
Curated OER

Murder in the First Degree - The Death of Mr. Spud

For Teachers 9th - 12th Standards
Secondary learners investigate exponential functions in a real-world scenario. They collect data on the temperature of a cooling baked potato, enter the data into lists, and graph the data using a scatter plot before finding an...
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Lesson Plan
Curated OER

Making Money and Spreading the Flu!

For Teachers 9th - 11th Standards
Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of these...
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Activity
NASA

Exploring Exoplanets with Kepler

For Teachers 6th - 12th Standards
Calculate the movement and properties of planets like professional astronomers! Scholars use Kepler's third law to find Mercury and Venus's distance from the sun. Using changes in brightness of distant stars and Kepler's third law,...
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Lesson Plan
1
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NASA

The Big Climate Change Experiment Lesson 4: Weather Versus Climate

For Teachers 9th - 12th Standards
Decide whether to learn about weather. An illuminating lesson has scholars first watch video clips and discuss the difference between weather and climate. Using their newfound knowledge, they create analogies to illustrate this...
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Performance
Achieve

Medication Dosage

For Students 9th - 12th Standards
Here's the cure to boredom. Given a patient file, including medication dosage information, scholars determine the amount of medication left in the patient's bloodstream over time. They analyze the sequence of numbers and determine a...
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Worksheet
Concord Consortium

Rule of 72

For Students 9th - 12th Standards
Find an easier way to double it. Using the price of an item and the Consumer Price Index, learners determine how long it will be for the price to double. Scholars calculate the length of time it would take for the price to double using a...
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Assessment
Concord Consortium

Rising Prices

For Students 9th - 12th Standards
What will that cost in the future? The scenario provides pupils with a growth as a Consumer Price Index. Learners create functions for a given item to determine future prices and graph them. Class members then compare their functions to...
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Interactive
PHET

Graphing Lines

For Students 8th - 12th Standards
Ready to increase pupils' understanding of slope with an upward slope? Scholars use an interactive that allows users to move two points on a coordinate plane. The interactive then automatically calculates the slope, the slope-intercept...
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Assessment
1
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CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Claim 4

For Teachers 9th - 12th Standards
What is the appropriate model? Sample problems show the extent of the Smarter Balanced assessments Claim 4, Modeling and Data Analysis. Items provide pupils the opportunity to use mathematical modeling to arrive at a reasonable answer....
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Unit Plan
Mathematics Vision Project

Module 1: Sequences

For Students 8th - 10th Standards
Sequences are all about recognizing patterns. A module of 11 lessons builds pupils' understanding of sequences through pattern analysis. The practice connects the analysis to linear and exponential equations. This is the first module in...
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Unit Plan
Mathematics Vision Project

Module 6: Quadratic Functions

For Students 8th - 10th Standards
Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...
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Unit Plan
Mathematics Vision Project

Module 2: Linear and Exponential Functions

For Students 8th - 10th Standards
Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.
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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 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 is the first in...
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Activity
101 Questions

Will It Hit The Hoop?

For Students 9th - 12th Standards
Basketball and math go hand in hand, even before one considers creating statistics. Viewers see a basketball player attempt multiple shots, but they do not see whether it goes in. They solve for which shots earned points as well as which...
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Activity
101 Questions

Lunch

For Students 9th - 12th Standards
Traditional lamian, a noodle originating from China, is hand shaped by twisting, stretching, and folding the dough into strands. Scholars observe the technique before determining the length of the final noodle. They use exponential...
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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
101 Questions

Double Sunglasses

For Students 9th - 12th Standards
If you wear two sets of sunglasses, do you get twice the darkness? Pupils explore an enlightening topic using a video and math model. They discover how to extend the topic through a sequel video and challenge question.