EngageNY
Modeling with Exponential Functions
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.
Achieve
Spread of Disease
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...
Curated OER
Discovering Math Concepts in Advanced Algebra
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...
Curated OER
Oodles of Poodles
Young scholars solve equations by graphing. In this algebra lesson, students differentiate between functions and relations. They use the TI to graph their equation and analyze the graph.
Curated OER
TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, high schoolers explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics...
Curated OER
Dead Body Math
Students solve the mystery of dead Mr. Potato Head using physics and algebra. They discuss Newton's Law of cooling as it applies to the mystery scenario involving a cooling baked potato as the "victim". They manipulate algebraic...
Curated OER
How Many Quasars Are There?
For this quasars worksheet, students read about how astronomers can detect quasars by their luminosity. Students use a given equation to solve 4 problems including finding quasar magnitude, determining the number of quasars with given...
Curated OER
Precalculus Exam
In this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
Curated OER
Antilogarithm Worksheet
In this antilogarithm worksheet, students find the antilogarithm of 9 different rational numbers. Students use their calculator to find the antilogarithm.
Curated OER
Rainbows, Bridges & Weather, Oh My!
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...
Teach Engineering
Bone Mineral Density Math and Beer's Law
Hop into a resource on Beer's Law. A PowerPoint presentation introduces Beer's law as part of calculating bone density from X-ray images in the sixth lesson in the series of seven. Individuals work on practice problems with this law and...
Curated OER
Differential Equations and Population Growth
Students determine the size of the population at a given time. They calculate the time at which the population will be a given number. They observe how the population grows at the rate that is directly proportional to the number of...
Curated OER
Buying Cars/Financing Cars Compound Interest
Provide a real world context in which exponential functions are used to determine a eal world phenomena such as compound interest and exponential growth. This lesson should be taught after students have mastered the laws of exponents and...
EngageNY
Irrational Exponents—What are 2^√2 and 2^π?
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...
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...
Curated OER
How Simple Is Your Rational Expression?
Investigate simplifying rational expressions. Learners define rational expressions, review how numerators and denominators are polynomials and complete several problems using a checklist to ensure they don't skip any steps. Work can be...
Curated OER
Using Innovative Approaches To Explore Functions
Use student-directed resource sheets, multiple approaches, and group work instead of drill and kill.
Radford University
Sleep and Teen Obesity: Is there a Correlation?
Does the number of calories you eat affect the total time you sleep? Young mathematicians tackle this question by collecting their own data and making comparisons between others in the class through building scatter plots and regression...
EngageNY
Percent Rate of Change
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...
Radford University
A Change in the Weather
Explore the power of mathematics through this two-week statistics unit. Pupils learn about several climate-related issues and complete surveys that communicate their perceptions. They graph both univariate and bivariate data and use...
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
Curated OER
Mixed Expressions and Complex Fractions
Students are introduced to mixed expressions and complex fractions. They work through several problems with the instructor and then complete a worksheet.
Curated OER
Chessboard Series
High schoolers work together on a word problem. They write a written report of the answer. They participate in a chessgame in which the answers are used.