EngageNY
The Power of Exponential Growth
How do you make a penny grow to $5,000 in just 15 days? Use the examples in this lesson to explore the concept of exponential growth and its comparison to linear models. Pupils come to understand that exponential growth eventually...
Howard County Schools
Getting Paid for School
What if you were paid to attend class? What kind of payment schedule would you choose? Learn how exponential functions will eventually exceed linear functions by comparing two different payment schedules for attending class.
Curated OER
Skeleton Tower
Your algebra learners build a quadratic function in this task of counting the blocks used to build objects. The arithmetic sequence that shows up brings up a shortcut to the long addition using the Gauss Method. Eventually, learners...
EngageNY
Some Potential Dangers When Solving Equations
Need a less abstract approach to introducing extraneous solutions? This is it! Young mathematicians explore properties used to solve equations and determine which operations maintain the same solutions. They eventually find that squaring...
Education Development Center
Area Model Factoring
Introduce learners to what factoring represents and it's relationship to a square with a resource about factoring and the method of area models. The questions are scaffolded to begin with introductory questions and eventually have...
EngageNY
Applications of Systems of Equations and Inequalities
Is the application of systems of equations giving your class headaches? Use this resource to build on your pupils' logic to lead them to building equations and using algebraic methods. The lesson begins with an exploration of solving...
02 x 02 Worksheets
Inverse Variation
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...
Curated OER
Fibonacci Trick
In this algebra worksheet, learners solve a puzzle starting with two single digit numbers and eventually conclude that the answer can be used with Fibonacci's pattern. There are 11 steps to the puzzle with a provided answer.
Curated OER
Making a Taxonomic Key
Learners work as a team of abalone taxonomists who examine and classify abalones based on their shell characteristics of the four most common species. They also study the visible details of each species shell, make notes and eventually...
Curated OER
How Old Is Illinois?
High schoolers use fossils found in rocks to determine the age of the strata between Rock Island and Chicago. Pupils pretend they are geologists. They must determine the age of all rock layers between the Mississippi River and Lake...
Curated OER
Math News
Young writers design and publish a newsletter with articles that demonstrate knowledge of mathematical concepts. They explain mathematical procedures and basic operations in a news article format. Next, they compile several articles to...
Curated OER
Study Skills Increase Success in High School Mathematics
Although your pupils are older, they must be taught how to effectively learn and retain mathematics.
Curated OER
Exponential Growth versus Polynomial Growth
Your algebra learners explore the values of two types of functions in order to compare growth rates in this short cooperative task. Two types of solutions are given, using a table of values and an abstract argument.
Curated OER
Exponential Growth versus Linear Growth II
Your algebra learners discover that exponential functions, with a base larger than one, outgrow linear functions when the inputs increase sufficiently. Their analysis includes using a graphing calculator to produce tables.
Curated OER
Cross Sections and Collision Times
High schoolers solve five problems including finding the cross sectional area of two bodies, determining the swept out volume of a moving body, finding the average particle volume of a body and determining the collision time for a body.
Curated OER
Density - An Intrinsic Property
Learners discover the property of density while participating in a lab exercise. In this scientific measuring lesson, pupils utilize a scale to measure the density of different metal materials. They document their work and present their...
Curated OER
Applied Science - Science and Math Lab
Students investigate topology. In this Applied Science lesson plan students explore higher, more abstract mathematics using tangles. Students make topologically related shapes.
Illustrative Mathematics
Identifying Rational Numbers
Eight different numbers are listed for mathematics masters to analyze. They simply tell if each number is rational or irrational. They can also explain their reasoning. A simple and straightforward worksheet that is a handy tool for...
Illustrative Mathematics
Temperatures in degrees Fahrenheit and Celsius
Learners investigate the relationship between the Fahrenheit and Celsius temperature scales. Given two data points, they construct a linear function to describe the relationship, find the inverse of the function, and make observations...
Illustrative Mathematics
Sammy's Chipmunk and Squirrel Observations
Here is a fun project. Sammy observes a chipmunk and a squirrel to see how many holes each needs in order to stash the same number of acorns. Scholars could find the answer algebraically or create a table to analyze the problem in...
Illustrative Mathematics
Converting Decimal Representations of Rational Numbers to Fraction Representations
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of such...
Curated OER
Cantor Set
Discover an interesting mathematical object that your algebra learners will enjoy investigating. Their adventure will lead them to the generation of a finite geometric series.
Federal Reserve Bank
Higher Gasoline Prices: Temporary or Time to Buy a Hybrid?
Gasoline prices garner a lot of attention in the United States. What can explain a temporary decline in gasoline consumption, and how do gasoline prices spur innovation in the energy and automotive industries?
Curated OER
Comparing Exponentials
Growing money exponentially is the context of this scenario that asks learners to compare investments in two certificate of deposit accounts. Your young investment analysts will learn about the exponential characteristics of money...