Curated OER
Exercise Set 3.2: Logarithmic Functions
In this logarithm worksheet, students solve 82 short answer problems. Students use log properties to simplify logarithms and natural logarithms.
Curated OER
Making Money Work For You
Learners differentiate between saving and investing money. In this algebra lesson, students compare different investment options, recognizing the risks and rewards of investing and integrate investing into their financial planning.
Curated OER
Logarithmic Forms
There are 10 different problems related to particular logarithmic forms for learners to solve. They express each exponential form equation given in logarithmic form and write out the opposite of each form as illustrated.
Curated OER
Exponential Growth Introduced
Students study exponential growth in problems using chess boards and grains of rice. In this exponential growth lesson, students watch a video about a chess wager and complete an exponential growth worksheet. Students then complete a...
Curated OER
Derivatives of Exponential Functions
Students listen as the teacher develops the derivative formula for if y=e^x, They find dy/dx by showing two proofs. Students determine the derivative of y=e^tan3x, and if y=e^2x they determine the hundredth derivative. Students listen as...
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...
Illustrative Mathematics
The Djinni’s Offer
The djinni in this resource offers gold coins. Learners use the properties of exponents to make their decision as one offer increases exponentially. This makes a great group project. As the commentary suggests, start by having groups...
EngageNY
Modeling a Context from a Verbal Description (part 1)
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic...
Curated OER
Power Function Inverses
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...
Howard Hughes Medical Institute
Population Dynamics
Will human population growth always be exponential, or will we find a limiting factor we can't avoid? Young scientists learn about both exponential and logistic growth models in various animal populations. They use case studies to...
Mathalicious
Out of Left Field
A baseball trajectory and a parabola seem to make the best pair in real-world quadratic applications. Here is a current baseball resource with questions, discussions, and explorations regarding a quadratic function and home run...
Curated OER
Extending the Definitions of Exponents, Variation 2
Introduce the concept of exponential functions with an activity that extends the definition of exponents to include rational values. Start with a doubling function at integer values of time, then expand table to include frational time...
Curated OER
Skeeter Populations and Exponential Growth
Students perform investigations on the growth of populations and use exponential functions to represent that growth. They watch a video clip of growth patterns. Students work in groups to determine the "population" of each color of...
Curated OER
Exponents
Students solve exponential problems using exponential properties. In this algebra instructional activity, students discuss the meaning of exponents, and bases raised to different powers. They explore exponential functions using a computer.
Curated OER
Get a Half-life!
Students explore decay functions and the half-life of a substance. Through an M&M activity with calculators, students collect and graph data. They determine the linear, quadratic and exponential functions of the graph. Students...
National Museum of Nuclear Science & History
Nuclear Popcorn
Make your instructional activity on radioactive decay pop with this lab exercise. Using popcorn kernels spread over a tabletop, participants pick up all of those that point toward the back of the room, that is, those that represent...
Curated OER
Solving Exponential Equations
Solving exponential and logarithmic equations is taught in this interactive lesson. Students use properties of logarithm and exponents solve functions. They estimate the solution and use the Ti to find the exact solution.
Curated OER
Chill Out: How Hot Objects Cool
Teach how to explore exponential equations. In this Algebra II lesson plan, students investigate the graph that occurs as a hot liquid cools. Students model the data algebraically.
Curated OER
Paying College Tuition
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...
Curated OER
Where Should They Hold the Fundraising Party?
Pupils explore financial applications of linear functions. As they investigate the steps necessary to plan a fundraising event, learners explore minimizing cost and maximizing profits.
Curated OER
Exponential and Exponents Functions
Students solve problems using exponential properties. For this algebra lesson, students differentiate between exponents, exponential and log functions. They graph their functions using table and exponents.
Curated OER
Logarithms
In this logarithms worksheet, 11th graders solve 10 different problems that include various logarithmic functions. First, they identify a logarithm as the inverse to the exponential function. Then, students calculate the value of each...
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
End-of-Module Assessment Task - Algebra 1 (Module 3)
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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