Lesson Plan
EngageNY

Decimal Expansion of Pi

For Students 8th Standards
Develop a better understanding of the value of pi. Learners explore the area of a circle using estimation and graph paper. While continuing to estimate the area of the circle using smaller and smaller grids, the number pi emerges. 
Lesson Plan
Curated OER

Discovering Pi

For Teachers 9th - 11th
Define terminology related to a circle. Practice accuracy in measuring and then create a spreadsheet based on data collected from solving for parts of a circle. Groups can have fun analyzing their data as it relates to Pi.
Lesson Plan
West Contra Costa Unified School District

Comparing Rational Functions and Simplified Functions

For Teachers 10th - 12th Standards
What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order...
Lesson Plan
EngageNY

The Height and Co-Height Functions of a Ferris Wheel

For Students 10th - 12th Standards
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. 
Assessment
EngageNY

Algebra II Module 2: Mid-Module Assessment

For Students 10th - 12th Standards
Time for classes to show what they've learned. Use several tasks to assess understanding of the trigonometric functions, unit circle, radians, and basic trigonometric identities.
Assessment
EngageNY

Mid-Module Assessment Task: Pre-Calculus Module 4

For Students 11th - 12th Standards
Challenge scholars to show what they know about properties and addition and subtraction formulas for trigonometric functions. The resource provides a mid-unit check on the progress toward mastery of trigonometric concepts. The areas...
Activity
Point Pleasant Beach School District

Parabola Project

For Teachers 9th - 12th Standards
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...
Lesson Plan
EngageNY

Secant and the Co-Functions

For Students 10th - 12th Standards
Turn your class upside down as they explore the reciprocal functions. Scholars use the unit circle to develop the definition of the secant and cosecant functions. They analyze the domain, range, and end behavior of each function.
Lesson Plan
West Contra Costa Unified School District

Solving Systems of Inequalities

For Teachers 8th - 10th
Don't throw away those transparency sheets just yet! Young scholars first review inequalities on a number line, then learn about graphing inequalities in the coordinate plane. Finally, they use overhead transparencies to create systems...
Assessment
Bowland

Fruit Pies

For Teachers 6th - 9th
Scholars use formulas for the area of a circle and the area of a rectangle to determine the number of pies a baker can make from a particular area of dough. They must also take into account rolling the remaining dough into a new sheet.
Lesson Plan
Curated OER

Bubble Mania

For Teachers K - 5th
Elementary schoolers practice measuring a soap bubble print. They follow a recipe to make a soap bubble solution. Pupils use the soapy solution to blow large bubbles with a plastic drinking straw until they pop leaving behind a circular...
Lesson Plan
EngageNY

Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior

For Students 10th - 12th Standards
Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous lesson in this series on transformations, learners use trigonometric functions to model wheels of...
Worksheet
Curated OER

Inverse Trig Functions

For Students 10th - 11th
Learners solve and graph 10 different problems that are the inverses of various trig functions. First, they determine which equation is equivalent to a given equation. Then, they find an angle of a right triangle, given its leg lengths....
Lesson Plan
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EngageNY

Solution Sets to Simultaneous Equations (part 1)

For Students 9th - 10th Standards
How are systems related? Build on your pupils' previous knowledge of solving systems of equations by introducing systems of inequalities. Learners explore similarities between systems of equations and inequalities to make a strong...
Worksheet
Curated OER

Graphs

For Students 9th - 11th
In this algebra worksheet, students calculate the point of intersection between a circle and a straight line. There are 5 questions with an answer key.
Lesson Plan
Curated OER

Graphing Candy-Coated Chocolates

For Teachers 2nd - 3rd
Students place pieces of candy on their coordinate graphs as the teacher calls out the colors and coordinates embedded in the plan. The teacher circulates around the class to check each student's answers for accuracy.
Worksheet
Curated OER

Droodle Graphs

For Students 10th - 11th
In this algebra worksheet, students graph piecewise functions, and circles using restrictions. They graph a line and chop it on both ends to create a stair case looking graph or a ladder. There are 3 involve questions with an answer key.
Worksheet
Curated OER

Defining the Circular Functions

For Students 10th - 12th
In this calculus worksheet, students solve values involving trigs and the unit circle. They identify graphs of sine, cosine and tangents. They solve for angles using the unit circle and the calculator.
Worksheet
Curated OER

Variables, Formulas, Functions, Graphs and Linear Approximations

For Students Higher Ed
In this limitations of formulas worksheet, students answer four essay questions about functions. Two questions refer to the limitations of formulas. They graph one function and explain how it specifies the rule of the function.
Lesson Plan
Curated OER

Graphing the Past Using Today's Technology

For Teachers 8th
Eighth graders research statistical data regarding their current social studies unit. They write questions about the measures of central tendency, collect and analyze the data, insert the data into a spreadsheet, and generate graphs.
Lesson Plan
Curated OER

Graphing Conics

For Teachers 12th - Higher Ed
Students explore conics using four different graphs. In this calculus instructional activity, students analyze parabola, hyperbolas, circles and ellipses. They find the directrix and discuss how they relate to each type of graph.
Worksheet
Curated OER

Variables, Formulas, Functions, Graphs

For Students 12th - Higher Ed
In this function worksheet, students are given 6 short-answer problems regarding formulas vs. functions, graphing functions and different ways to view functions.
Lesson Plan
Curated OER

Graphs and Ellipses

For Teachers 9th - 12th
Students explore linear graphs, the parabola and the rectangular hyperbola.
Lesson Plan
Curated OER

Graphing Fun

For Teachers 1st
First graders analyze objects and make a graphing picture to analyze the data. In this graphing lesson, 1st graders complete an object graph assessment, a picture graph assessment, and a bar graph assessment to analyze their given objects.

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