Printables
Chapman University

A Pythagorean-Style Proof of the Sine Sum-of-Angles Formula

For Teachers 10th - 12th
This well organized poster shows a step-by-step algebraic proof and related graphic. Understanding how formulas were derived, connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will...
Lesson Plan
Virginia Department of Education

Radical Equations

For Students 9th - 12th Standards
Provide students with the skill for how to examine algebraic and graphical approaches to solving radical equations. Learners solve various radical equations involving square root and cube root expressions. They first solve...
Lesson Plan1:00
Mathematics Assessment Project

Modeling Motion: Rolling Cups

For Students 9th - 12th Standards
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup...
Activity
Noyce Foundation

Double Down

For Students K - 12th Standards
Double the dog ears, double the fun. Five problems provide increasing challenges with non-linear growth. Topics include dog ears, family trees and population data, and geometric patterns.  
Assessment
Concord Consortium

Broken Spreadsheet I

For Students 8th - 11th Standards
There is power in spreadsheet formulas and learners use this power to model quadratic data. Given a scatterplot of a parabola, pupils create formulas in a spreadsheet to populate the data. The formulas they use lead to an understanding...
Lesson Plan
Curated OER

Iterating the Function and Complex Numbers

For Teachers 7th - 10th
Learners identify the end behavior of polynomial graphs. In this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.
Lesson Plan
Curated OER

Exploring Multiplication Functions

For Teachers 4th
Fourth graders investigate the terms "factor" and "product." For this mathematics lesson, 4th graders practice solving problems to find the products and factors present in different algebraic expressions.
Lesson Plan
Curated OER

Linear Functions-Learn Your Lines

For Teachers 8th - 10th
Students solve and graph linear equations. In this algebra lesson plan, students collect and plot data on a coordinate plane. They use the CBL and TI calculator to graph systems of equation.
Lesson Plan
Curated OER

Algebra—Quadratic Equations and Functions

For Teachers 8th - 12th
Students use given information on wind speed with the quadratic formula to determine the pressure of the wind on a building. In this quadratic equations lesson, students compute the pressure of the wind from two data tables. They graph...
Lesson Plan
Curated OER

Cutting Cordwood

For Teachers 9th - 12th
Students examine a story problem in which two men are earning money by cutting cords of wood. They use data from graphs to use on a grid. They practice writing algebraic equations as well.
Lesson Plan
Curated OER

How Tall is that Tree?

For Teachers 4th - 12th
Students apply their math skills to develop an accurate estimate of the height of a tall tree. Three different methods are outlined. All grade levels should be able to perform the shadow method and the proportional method.
Worksheet
Curated OER

Worksheet 28

For Students 11th - Higher Ed
In this math worksheet, learners study the Fourier series and consider the special orthogonal basis of functions. They write certain functions as an infinite sum.
Worksheet
Curated OER

Reviewing the First Unit

For Students Higher Ed
In this linear function worksheet, students explain how the linear function relates to direct proportionality. They answer questions dealing with slope fields, rate equations and illustrate Euler's Method. After answering six...
Lesson Plan
Curated OER

Building Understanding of Rate of Change/Slopes Using Alice

For Teachers 8th - 10th
Students explore slope as a rate of change. In this eighth grade mathematics lesson, students investigate real-world problems to determine rate of change and transform it into a linear representation, thus determining slope. Students...
Lesson Plan
Virginia Department of Education

Factoring for Zeros

For Teachers 8th - 11th
Relate factors to zeros and x-intercepts. Scholars first graph quadratics in both standard and factored forms to see that they are the same. They go on to use the graphs to see the relationship between factors and x-intercepts.
Lesson Plan
Curated OER

Long Distance Phone Plans

For Teachers 7th - 9th
In this long distance phone plane worksheet, students compare various phone plans and determine which long distance plan has the greatest savings. Students support their answers visually through the use of tables and graphs. They write...
Lesson Plan
Curated OER

Calculator Puzzle Patterns

For Teachers K - 5th
It's no secret that being able to competently use a calculator is an important skill. For this math lesson, young mathematicians learn how to use the counting constant function on their calculators to explore patterns and relationships...
Lesson Plan
Curated OER

Graphing and Interpreting Linear Equations in Two Variables

For Teachers 7th - 9th
Graph linear equations using a table of values. Learners solve equations in two variables using standard form of an equation. They identify the relationship between x and y values.
Lesson Plan
Shodor Education Foundation

InteGreat

For Teachers 9th - Higher Ed Standards
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...
Activity
Illustrative Mathematics

Medieval Archer

For Teachers 8th - 12th Standards
This activity presents a problem about a computer game which uses functions to simulate the path of an arrow fired by an archer. Learners use the given function to determine where the archer must stand in order to fire an arrow that will...
Interactive
CK-12 Foundation

Sine Graph and Cosine Graph: Changing Amplitude

For Students 10th - 12th Standards
Scholars manipulate the amplitude of the graphs of sine and cosine, notice how the change in amplitude is reflected in their graphs, and answer several questions about the concept they noticed.
Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Cosine

For Students 10th - 12th Standards
If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.
Interactive
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GeoGebra

More Ferris Wheels

For Students 9th - 12th Standards
Take a ride on a Ferris wheel. Using sliders to adjust the parameters of a Ferris wheel, pupils investigate the height of a point over time. The interactive traces out the curve on a time-height graph. Learners use what they learned to...
Interactive
CK-12 Foundation

Newton's Method

For Students 11th - Higher Ed
Does the accuracy of the first guess make a difference down the line? Learners investigate the effects of the iterative process of finding roots, using Newton's Method. By moving the initial guess of a root on a graph, pupils observe the...

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