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EngageNY
Graphing the Tangent Function
Help learners discover the unique characteristics of the tangent function. Working in teams, pupils create tables of values for different intervals of the tangent function. Through teamwork, they discover the periodicity, frequency, and...
Mt. San Antonio Collage
Graphing Trigonometric Functions
Double win with a comprehensive worksheet and an excellent worked out answer key. The worksheet itself is twelve pages and begins with the simple sine and cosine graphs, then, develops into the reciprocal trig functions.
Curated OER
Usage and Interpretation of Graphs
Cooperative groups are formed for this graphing activity. Each group must construct a graph that represents how many eyelets (the holes for laces in shoes), are present in their group. A whole-class bar graph is eventually constructed...
Virginia Department of Education
Circles in the Coordinate Plane
Make the connection between the distance formula and the equation of a circle. The teacher presents a lesson on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...
Pace University
Grade 7 Earth Day Statistics with Circle and Bar Graphs
Take a tiered approach to studying waste. The lesson uses Earth Day to present differentiated instruction around using circle and bar graphs. Each group gets a cube based on their tiers and works collaboratively as well as individually...
Mathematics Assessment Project
Sorting Equations of Circles 1
Round and round we go. Learners first complete a task on writing equations of circles. They then take part in a collaborative activity categorizing a set of equations for circles based on the radius and center.
Curated OER
Your Tax Dollars at Work
In order to understand how tax dollars are spent, young economists use given data and graph it on a circle graph. Circle graphs are highly visual and can help individuals describe data. A class discussion follows the initial activity.
Beyond Benign
Municipal Waste Generation
Statistically, waste may become a problem in the future if people do not take action. Using their knowledge of statistics and data representation, pupils take a look at the idea of waste generation. The four-part unit has class members...
Columbus City Schools
Speed Racers
Who wants to go fast? The answer? Your sixth-grade science superstars! The complete resource offers the ultimate, all-inclusive playbook for mastering the important concepts of speed versus time; distance versus time; and how...
EngageNY
Solution Sets to Inequalities with Two Variables
What better way to learn graphing inequalities than through discovering your own method! Class members use a discovery approach to finding solutions to inequalities by following steps that lead them through the process and...
Mathematics Assessment Project
Sorting Equations of Circles 2
How much can you tell about a circle from its equation? This detailed lesson plan focuses on connecting equations and graphs of circles. Learners use equations to identify x- and y-intercepts, centers, and radii of circles. They also...
EngageNY
Properties of Trigonometric Functions
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects...
Museum of Tolerance
Why is This True?
Are wages based on race? On gender? Class members research wages for workers according to race and gender, create graphs and charts of their data, and compute differences by percentages. They then share their findings with adults and...
EngageNY
Curves from Geometry
Take a another look at ellipses. The seventh segment in a series of 23 in a Precalculus module continues to investigate the graph and equation of an ellipse from the previous lesson. Scholars investigate the fact that the sum of...
Curated OER
Model Air Plane Acrobatics
Your young airplane enthusiasts will enjoy this collaborative task of graphing an airplane's distance from the ground as it flies in a perfect circle. They will discover that they have graphed a sinusoidal function that comes from the...
Virginia Department of Education
Quadratic Curve of Best Fit
Class members create a table of the number of chords that can be drawn given the number of points on a circle. Pupils analyze the data created, find a function to fit to it, and use the function to make further predictions.
West Contra Costa Unified School District
Conics Introduction and Parabolas
Where did conic sections get their name? The equation and graph of a parabola are developed from the definition of the conic section. Teacher examples on graphing the equation and writing an equation from the graph round out the plan.
Point Pleasant Beach School District
Parabola Project
Class members select a picture that contains a parabola and construct a drawing of it using function graphs in the quadratic project. Individuals restrict the domains of the functions to create a more accurate drawing. They then submit a...
EngageNY
The Height and Co-Height Functions of a Ferris Wheel
Show learners the power of mathematics as they model real-life designs. Pupils graph a periodic function by comparing the degree of rotation to the height of a ferris wheel.
University of California
Seasons Lab Book
Unlock the mystery behind seasonal change with a collection of worksheets and activities. Whether they are drawing pictures of Earth's orbit around the sun or graphing the temperature and daylight hours of different locations...
EngageNY
Piecewise Functions
Show your class members that if they can graph a linear function, they can graph an absolute value function. Groups create an absolute value graph using a table, then entertain the idea of an absolute value function defined as two...
Barnstable Public Schools
Math Relay Races
A plethora of activities make up a cross curricular choice page filled with math games—relay races, dice, and crossword puzzles—a survey challenge equipped with data organization, graphing, a quicksand recipe, Hula-Hoop activity to...
Curated OER
Tree Measurement
Measure a tree? Yes, measure a tree! Students get outside and measure a tree's trunk, crown, and height. Each group compares their answers to determine if any re-measuring is necessary. Once back in the classroom, students make bar...
EngageNY
Curves in the Complex Plane
Go around and around on the complex plane. The sixth lesson 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 explore complex...