Concord Consortium
Adding the Sines
It's a sign! Scholars analyze sine functions for patterns in their periods. The exploration advances beyond a simple function to the combination of two functions with even and odd coefficients. Their goal is to find a pattern between the...
Illustrative Mathematics
Foxes and Rabbits 3
Model periodic populations. Here, in the context of foxes and rabbits, pupils look at graphs of the populations of these animals in a national park over a span of 24 months. Groups analyze the graphs and determine trigonometric functions...
Curated OER
It's the Law: Periodically
Ninth graders examine the Periodic Table. In this element lesson, 9th graders observe the chemical reactivity of elements. They graph the properties and discuss the trend in the group and period of elements. The students use math to...
Concord Consortium
Here Comes the Sun
Many phenomena in life are periodic in nature. A task-based lesson asks scholars to explore one of these phenomena. They collect data showing the sunrise time of a specific location over the period of a year. Using the data, they create...
Curated OER
Periodic Functions
In this calculus instructional activity, learners identify important rules and properties of the unit circle. They differentiate between polar and complex coordinates. There are 20 questions about the unit circle.
EngageNY
Ferris Wheels—Tracking the Height of a Passenger Car
Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.
Curated OER
Modelling Periodic Phenomena
In this Pre-calculus/Trigonometry learning exercise, students determine the trigonometric function that best models the given data. The eight page learning exercise contains explanation, examples, and twenty-one problems. Answers are not...
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...
Curated OER
Periodic Functions
In this Pre-Calculus worksheet, students solve problems involving periodic functions. The three page worksheet contains twenty-three problems. Answers are not provided.
EngageNY
Algebra II Module 2: End-of-Module Assessment
Will this be on the test? Learners demonstrate their understanding of trigonometric functions with an end-of-module assessment. They investigate two different real-world situations, one function in pure mathematics, and one potential...
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
Water Cycle: Weather Lesson 1
First graders go on a water walk, collect weather data, and measure rainfall for a month. They examine the water cycle in this series of lessons.
Curated OER
Periodic Table of Elements
Middle schoolers use reference skills to locate information about the periodic table.
They identify elements by name, atomic number, atomic mass, symbol and properties. Students use mathematical processes to find the number of...
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,...
Curated OER
Using Series to Analyze Financial Situations: future Value
For this Algebra II/Pre-calculus worksheet, students investigate a method of finding the accumulated value of an annuity by considering it a series. The eleven page worksheet contains explanation, examples, and twenty-three problems....
Curated OER
Long Day?
Students become aware of the effects of tides on the Earth's rotation. In this tides activity, students calculate the number of seconds lost over various periods of time.
Curated OER
Rainbows, Bridges & Weather, Oh My!
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...
Curated OER
Further Trigonometry
In this trigonometry worksheet, students solve for trigonometric functions. They convert between radians and angles using the properties of sine, cosine and tangent. There are 30 problems on this handout.
Curated OER
Applying Trigonometric Functions To Real Life
Students examine where trigonometry exists outside the classroom. In this trigonometry lesson, students create trigonometric functions to match the data provided and to solve word problems relating to the real world.
Curated OER
Modeling the Keeling Curve with Excel
In this modeling the Keeling Curve worksheet, learners use given data beginning in 1960 to create a mathematical model for the changes in atmospheric carbon dioxide over time. Students manipulate the equation to predict the carbon...
Curated OER
Convolution
In this convolution worksheet, students solve 8 different problems related to convolution. First, they determine the formulas for eight samples of f and g. Then, students write out the matrix found. In addition, they define the...
Curated OER
Student-Led Parent Conference
Students prepare for student-led parent conferences. In this communication instructional activity, students collect data to build portfolios for use during parent conferences. Students practice their presentations in preparation for the...
Curated OER
Convolution
In this circular convolutions worksheet, students solve 8 different problems that are related to circular convolutions. They let g be defined by an arbitrary vector and determine the formula for 8 samples for f and g. Then, students find...