EngageNY
Does Every Complex Number Have a Square Root?
Help the class find a better way. Pupils recall finding nth roots or a complex number in polar form from a previous module to find the square root of a complex number. Using the second installment in a series of 23, scholars discover it...
EngageNY
Transforming Rational Functions
Move all rational functions—well, maybe. Learners investigate the graphs of the reciprocals of power functions to determine a pattern between the graph and the power. Pupils graph rational functions where transformations are clearly...
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...
Curated OER
Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...
Curated OER
Woody Sine
Students explore the concept of sine. In this sine lesson, students create a sine graph from tooth picks. Students create a unit circle with tooth pick length radius. Students then take the tooth picks from the unit circle and put them...
Alabama Learning Exchange
Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine
Students explore the concept of sine and cosine. In this sine and cosine lesson, students work in groups to graph sine and cosine functions. Students examine how coefficients in various parts of each parent function shift the graph. ...
Curated OER
Name That Tune: Matching Musical Tones Through Waveform Analysis
Pupils detect the waveform of musical notes to determine the code for the "safe" in this forensics simulation lesson. They use a microphone and tuning forks along with Vernier EasyData on their graphing calculator to analyze five musical...
Curated OER
Getting Triggy With It
The concept of sine and cosine is explored in this lesson where students graph sine and cosine graphs using a transformation application on the graphing calculator. Students change the coefficients for the amplitude, period, frequency,...
Curated OER
Discriminating Against the Zero
Students explore the concept of quadratic equations. In this quadratic equations instructional activity, students find the roots or zeros of quadratic equations using the quadratic formula. Students give examples of functions with 2...
Curated OER
Pre-calculus Unit 3 Test 2
Students will solve exponential function problems, graph exponential functions, find the value of logarithms, determine future value, and compound interest. In this Pre-calculus lesson, students will use the properties of logs to solve...
Curated OER
Traffic Problem- Solved Using Microsoft Excel
Students relate algebra to real life scenario. In this algebra lesson, students design a plan to help traffic flow smoothly using velocity and speed. This assignment is done using Microsoft Excel.
Alabama Learning Exchange
Binomial Expansion—Shortcut Please
There has got to be a better way; you just have to find it! Given a general binomial to expand with increasing powers, pupils realize that there must be a better way than multiple multiplications. Classmates look for patterns and use...
Alabama Learning Exchange
Building Functions: Inverse Functions from Tables and Graphs
Is the inverse a function? Scholars learn how to examine a function to answer this question. Using an online interactive, they examine the properties of inverse functions to compare to the original function.
Alabama Learning Exchange
Unit Circle: Special Angles—Just Know One
It's all about the patterns! Young scholars learn that the unit circle repeats itself in all four quadrants. Using these patterns, they evaluate the sine, cosine, and tangent of special angles.
Curated OER
Polynomial Rollercoaster
Learners relate polynomials to a rollercoaster track as they translate a graph around on a coordinate plane. They differentiate between different forms of algebraic expressions.
Curated OER
Compound Interest
Pupils analyze the variables in the formula of a compound interest. They model the increase or decrease of an investment using compound interest and discuss different compounding periods.
Curated OER
Introduction to Conic Sections
Learners slice cones and identify the different conics formed. They then derive the formula to solve problems involving cones. Pull out the TI calculators to visualize the slicing and the different parts and properties created.
Curated OER
Multiplicity of Zeros of Functions
Pupils identify the multiplicity of exponents as they graph polynomials. They write equations for a function given the zeros of the function and work backwards from solving equations.
Curated OER
Parametric Projectile Motion
Learners relate projectile motion to parametric equations as they identify the velocity and angle of a projectile. They create a picture on the navigator to visualize the word problem.
Curated OER
Quadratic Equations with Complex Coefficients
Students solve and graph quadratic equations. In this algebra lesson, students perform basic operation using addition, subtraction, multiplication and division. They compute the quadratic formula.
Curated OER
Basic Matrix Algebra
Students perform basic matrices operations. In this algebra lesson, students add, subtract, multiply and divide matrices. They solve system of equations using matrices.
Alabama Learning Exchange
Ellipse
Students explore the concept of ellipses. In this ellipses lesson, they construct ellipses on their paper and follow directions on a worksheet that allow them to investigate an ellipse in more depth by looking at the major axis, foci, etc.
Curated OER
Perfect Shuffles
Students investigate piecewise functions. In this algebra lesson, students model piecewise functions in the real world. They graph the parts of the functions following the restrictions of the domain.