Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
Lesson Plan
Curated OER

Graphing Exponential And Logarithmic Functions

For Teachers 10th - 12th
In this logarithmic function worksheet, students solve and graph logarithmic and exponential functions. Variables are included in the exponential and logarithmic functions. There are 18 problems to solve on this two-page worksheet. Graph...
Lesson Plan
Curated OER

Extra Practice 48: Graphing Exponential and Logarithmic Functions

For Teachers 10th - 12th
In this graphing worksheet, students graph exponential and logarithmic functions. A coordinate plane is provided for each problem. Eighteen problems are on this two-page worksheet.
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.
Worksheet
Curated OER

Logarithmic Equations

For Students 11th - 12th
In this logarithmic instructional activity, students solve given logarithm equations. Two problems may be solved by graphing. This one-page instructional activity contains ten problems.
Worksheet
Curated OER

Logarithms: Test Sections 4.1 - 4.3 A.P. Calculus

For Students 10th - 12th
In this logarithms worksheet, students evaluate and solve equations with logarithms.  They derive the formula for a derivative of a given function.  Students explain the differences between logarithms.  This one-page...
Worksheet
Curated OER

Logarithmic Functions as Inverses

For Students 10th - 12th Standards
In this algebra worksheet, learners solve logarithmic functions. They graph their solution using log properties. There are 6 questions.
Lesson Plan
Curated OER

Oodles of Poodles

For Teachers 10th - 11th
Students 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.
Worksheet
Curated OER

Differentiating Special Functions

For Students 11th - 12th
In this differentiating special functions worksheet, students solve and complete 5 various types of problems. First, they differentiate each of the given functions. Then, students complete the table using a calculator and plot the points...
Lesson Plan
Curated OER

Discovering Different Types of Functions

For Teachers 10th - 12th
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
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...
Lesson Plan
Curated OER

Exponential Functions

For Teachers 11th
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.
Unit Plan
Mathematics Vision Project

Module 8: Modeling With Functions

For Students 10th - 12th Standards
Sometimes there just isn't a parent function that fits the situation. Help scholars learn to combine function types through operations and compositions. Learners first explore a new concept with an introductory activity and then follow...
Lesson Plan
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West Contra Costa Unified School District

Introduction to Inverse Functions

For Students 9th - 12th Standards
Ready to share the beauty of the inverse function with your classes? This algebra II lesson guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...
eBook
Rice University

College Algebra

For Students 9th - Higher Ed Standards
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
eBook
Rice University

Algebra and Trigonometry

For Students 10th - Higher Ed Standards
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
Lesson Plan
Curated OER

Exponential Reflections

For Teachers 9th - 12th Standards
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Young scholars repeat the process using different exponential functions using a slider.
Lesson Plan
EngageNY

Irrational Exponents—What are 2^√2 and 2^π?

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

Linear and Exponential Models

For Teachers 10th - 12th
Students linearize data to determine if an exponential model is suitable. In this linearizing data to determine if an exponential model is suitable lesson plan, students graph the residuals of sets of data that appear to have an...
Lesson Plan
Curated OER

Linear and Exponential Models

For Teachers 9th - 12th
Learners investigate the differences between linear and exponential models.  In this linear and exponential models lesson, students make a table of given data.  Learners determine if the data is linear or exponential by...
Lesson Plan
Curated OER

Exponential Decay

For Teachers 10th - 12th Standards
Students study exponential decay and its application to radiocarbon dating. In this exponential decay lesson, students use candy to model the time it takes for something to decay. Students also graph the data they collect and...
Worksheet
Curated OER

Worksheet Six: System of Equations

For Students Higher Ed
In this system of equations worksheet, students solve systems of equations. They plot functions and evaluate solutions as floating point numbers. This two-page worksheet contains 8 multi-step problems.
Lesson Plan
Curated OER

Lesson #45 Graphs of Logarithmic and Exponential Functions

For Teachers 11th - 12th
Pupils investigate exponential and logarithmic functions.  In this Pre-calculus/Calculus lesson, students investigate the relationship between y = ln(x) and y = e^x.  Pupils graph the functions and show they are inverses of...
Lesson Plan
Curated OER

Linear Piecewise Functions

For Teachers 10th - 12th
Learners explore the concept of piecewise functions. In this piecewise functions lesson, students graph piecewise functions by hand and find the domain and range. Learners make tables of values given a piecewise function. Students write...