EngageNY
Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
EngageNY
Curves in the Complex Plane
Go around and around on the complex plane. The sixth instructional activity in a 23-part unit reviews representing numbers in the complex plane. Pupils graph numbers with equal moduli and notice they represent a circle. They continue to...
Rice University
College Algebra
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,...
EngageNY
Why Call It Tangent?
Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of the...
Curated OER
CEEnBoT Stories
Students identify the slope of a line as negative, positive, zero or undefined. In this algebra lesson, students identify the distance versus the time using graphs of linear equation. They use the robot and the CEENBoT program to analyze...
Illustrative Mathematics
Graphs of Compositions
It might help when working with this resource to give an example of a composition function. For example, the amount of time it takes to get to work depends on the amount of traffic; the amount traffic depends on the time of day....
Curated OER
Real World Systems of Linear Equations
Students solve systems of equations with fluency. In this algebra activity, students graph, use elimination and substitution to solve systems of equations. They identify the point of intersection using algebra.
Curated OER
Precalculus: Function Models for Real-Life Situations
Students use calculators and "by hand" techniques to compare models of real-life data situations, determine the best model for a situation, and use their models to make predictions.
Curated OER
Rational Functions and Their Graphs
In this Algebra II worksheet, 11th graders examine the graphs of rational functions, identifying the points of discontinuity and the vertical and horizontal asymptotes. The three page worksheet contains explanation of topic, several...
Rice University
Prealgebra
Pre-algebra—all wrapped up in one place. The eBook contains everything needed to teach a typical Pre-Algebra course. Concepts in the course build upon previously learned concepts, allowing mathematicians to see the connections between...
Curated OER
Cartesian Coordinates
Students investigate rational numbers through data analysis and statistics. In this algebra lesson, students represent, rename, compare and order rational numbers. They collect and represent data correctly on a graph.
Curated OER
Complex Roots: A Graphical Solution
Using their Ti-Nspire to determine the solutions of parabolas, students explore the concept of complex roots. Students determine if parabolas have real or complex roots. Students determine the the axis of symmetry and the vertex given...
Curated OER
Using Fractions to Represent M&M Colors
Students investigate the concept of fraction and tangible application. In this algebra lesson, students use fractions to solve real life scenarios. They convert between fractions and decimals and identify the numerator and denominator.
Curated OER
Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra instructional activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Curated OER
Making Money and Spreading the Flu!
Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of these...
Illustrative Mathematics
Exponentials and Logarithms II
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
Curated OER
Using Inequalities to Problem Solve
Students explore inequalities. In this Algebra I lesson, students solve and graph linear inequalities involving addition, subtraction, multiplication, or division. Students use inequalities to solve and graph real-world problems.
Mt. San Antonio Collage
Exponential and Logarithmic Functions
High schoolers grow their skills exponentially after completing this thorough instructional activity. Going from simple to difficult, it hits all the major skills regarding exponential and logarithmic functions including simplifying,...
02 x 02 Worksheets
Absolute Value Equations and Inequalities
Demonstrate the meaning of an absolute inequality using three different methods. Here, scholars explore absolute value inequalities through graphing, number line distance, and compound inequalities. Pupils complete various activities to...
02 x 02 Worksheets
Slope
What does slope have to do with lines? Pupils work with lines and determine the slope of the lines informally and with the slope formula. Groups use their knowledge to calculate the slopes of parallel and perpendicular lines. They also...
Curated OER
Matrix Madness!!
Perform operations to add, subtract, multiply and divide matrices. Then solve problems with vectors using matrices. A three day lesson: Matrix Madness, Mystical Matrices, and Decode the Encode. The last lesson has prizes that the class...
Virginia Department of Education
Arithmetic and Geometric Sequences and Series
Examine the importance of sequence and series through contextual situations. Here, learners partake in a five-day unit that begins with the basics of arithmetic and geometric sequences and series. As it progresses, pupils apply the...
EduGAINs
Introduction to Solving Linear Systems
Word problems offer class members an opportunity to learn the concept of solving linear systems using graphs. Individuals choose a problem based upon preferences, break into groups to discuss solution methods and whether there is...
Virginia Department of Education
Normal Distributions
Pupils work to find probabilities by using areas under the normal curve. Groups work to calculate z-scores and solve real-world problems using the empirical rule or tables.