EngageNY
Graphing Rational Functions
Put everything together in a picture. Scholars take what they learned in the previous three lessons in the 15th segment of a 23-part unit to graph rational functions. They find the end behavior, the horizontal and vertical asymptotes if...
EngageNY
Restricting the Domain
But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using...
EngageNY
Roots of Unity
Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....
EngageNY
The Structure of Rational Expressions
Find out when rational expressions are closed. Pupils review adding, subtracting, multiplying, and dividing with rational numbers to make the connections to operations with rational expressions. Using specific examples, learners notice...
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Horizontal and Vertical Asymptotes of Graphs of Rational Functions
Get close to your favorite line. Scholars use end behavior to help find horizontal asymptotes. With the understanding of domains of rational functions, learners find vertical asymptotes and then use graphing calculators to verify the...
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Solving Problems by Function Composition
Stay composed while solving problems. Learners put their knowledge of compositions to solve problems. To connect with the concept, scholars compose equations to answer questions from real-world situations. Finally, pupils practice using...
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End-of-Module 3 Assessment Task
Let's see what the class learned! The last installment of the 23-part Pre-calculus module consists of nine assessment questions designed to measure a specific portion of a standard in the unit. Learners demonstrate their understanding of...
Curated OER
Explorations 5: Introduction to Limits
In this limit worksheet, students find the interval values of given functions. They identify constants, and plot graphs. This three-page worksheet contains approximately 20 problems.
Curated OER
Exploration 1: Instantaneous Rate of Change Function
In this function worksheet, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page worksheet contains approximately 20 problems.
Curated OER
All Systems Go!
Secret codes are so much fun, and a great way to practice nearly any math skill. Let your class become code breakers as they investigate inverse matrices. They use TI-Nspire technology to solve systems of equations which help them crack...
Curated OER
A Prime Investigation wtih 7, 11, and 13
Ninth graders investigate divisibility rules. In this middle school mathematics/Algebra I activity, 9th graders explore the divisibility rules of 7, 11, and 13. Students examine certain six-digit numbers that are divisible by...
Curated OER
Logarithms
For this Algebra II worksheet, students simplify logarithmic expressions and solve logarithmic equations. The four page worksheet contains a combination of thirty free response and multiple choice questions. Answers are not...
Curated OER
Logarithms #2
In this Algebra II/Pre-Calculus instructional activity, students simplify logarithmic expressions and use a calculator to determine the value of a logarithmic expression. The three page instructional activity contains a combination...
Curated OER
Inequalities and Absolute Value
In this inequalities worksheet, students solve multi-step inequalities with absolute values and test the boundaries in the provided work space. There are 16 questions.
Curated OER
Velocity
In this pre-calculus worksheet, learners calculate the velocity of a linear graph by observing the slope of a line. There are 10 velocity questions.
Curated OER
Periodic Functions
In this calculus worksheet, students identify important rules and properties of the unit circle. They differentiate between polar and complex coordinates. There are 20 questions about the unit circle.
Curated OER
Algebra Skills Sections 23
In this algebra skills worksheet, high schoolers solve/simplify 20 short answer problems. Students solve/simplify quadratic, absolute value, exponential, logarithmic, trigonometric, and radical equations/expressions.
Curated OER
Dynamic Algebra
Explore 5 classical problems of algebra. They will solve problems involving Heron's formula, fractional equations, vector equations, apollonius' sphere, and transversals. The idea is to lead to new perceptions and visual...
Curated OER
How to Implement Project Based Learning to Engage Students
Can a math teacher employ project-based learning? Learn how one great math teacher uses PBL to design math projects that provide learners with a more challenging and holistic learning experience. A wonderful article, that includes...
Alabama Learning Exchange
Attitude Determines Altitude
A fabulous lesson which combines mathematics with space science. Middle schoolers work in cooperative groups in order to research early astronauts and their accomplishments. They look at a variety of rocket and space shuttle designs, and...
Curated OER
Exponential Reflections
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Students repeat the process using different exponential functions using a slider.
Curated OER
Dog Pen Problem
Teach your class about various approaches to solving the problem of maximizing the area of a rectangle space with a fixed perimeter in the context of a farmer's dog pen. Then, they complete a worksheet independently to summarize the...
Curated OER
Going Back to Your Roots
Investigate the Fundamental Theorem of Algebra and explore polynomial equations to determine the number of factors, the number of roots, and investigate multiplicity of roots.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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