Interactive
CK-12 Foundation

Limit of a Sequence: Finding the Limit of a Sequence (Part 3)

For Students 11th - Higher Ed
Limit the view of sequences on both sides of the axis. Learners explore an alternating sign sequence. Using a graphical display of the first 10 terms of the sequence, pupils determine the formula for the general term. they then use the...
Learning
School Mathematics Project

Resource Sheets

For Students 4th - 8th Standards
This extensive and far-reaching collection of worksheets puts a new twist on many basic concepts. Learners use multiplication to trace a path from one point to another, tile a plane by converting between improper and proper fractions,...
Interactive
CK-12 Foundation

Angle-Side-Angle Triangles: Caution Tape

For Students 10th - 12th Standards
Don't lose your marbles. Scholars use an interactive to create a triangle that closes off a portion of a sidewalk with loose marbles. The Law of Sines helps them find the side measures of such a triangle.
Lesson Plan
EngageNY

Unknown Angles

For Students 9th - 10th Standards
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include...
Interactive
CK-12 Foundation

Restricted Domain and Range: Restricted Circle Radius and Area

For Students 9th - 12th Standards
There's no restriction to how much your class can learn about domain and range. Users of an interactive adjust the radius of a circle to see its effects on the area. They note how restrictions in the domain (radius) relate to...
Interactive
CK-12 Foundation

Whole Number Exponents: Teddy Bear Box

For Students 3rd - 6th Standards
Five questions—multiple-choice, fill in the blank, and discussion—make up an interactive that challenges scholars to mail a teddy bear using the smallest box possible without squishing it. A box with movable sides allows mathematicians...
Interactive
CK-12 Foundation

Decimals as Fractions

For Students 6th Standards
Converting decimals to fractions is the focus of a five-question interactive. A color-coded tool assists mathematicians in discovering solutions. Multiple-choice questions make up the majority of the problems and a discussion question...
Interactive
CK-12 Foundation

Exponential Properties Involving Quotients

For Students 9th - 12th Standards
Watch as exponential expressions expand and contract! An interactive tutorial leads young mathematicians to the discovery of the quotient property of exponents. Through exploration, they realize that an x in the numerator will cancel an...
Lesson Plan
Illustrative Mathematics

Do Two Points Always Determine a Linear Function?

For Teachers 9th - 12th Standards
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...
Interactive
CK-12 Foundation

Exponential Terms Raised to an Exponent: Exponential Sliders

For Students 9th - 12th Standards
Discover the pattern of exponents through an interactive lesson. Young mathematicians manipulate sliders and watch the result as they change the base or exponents in an expression. The tutorial shows them the simplified expression and...
Interactive
CK-12 Foundation

Quadratic Functions and Their Graphs: Soccer Ball Trajectory

For Students 9th - 12th Standards
Determine critical points in the flight of a soccer ball. Pupils use an interactive resource to find the vertex and x-intercepts of the graph of the trajectory of a soccer ball after being kicked. Scholars investigate the trajectory...
Interactive
CK-12 Foundation

Polynomials in Standard Form

For Students 8th - 10th Standards
Set the standard for working with polynomials. Pupils arrange two polynomial expressions in standard form. The scholars respond to questions about the terms, coefficients, and degrees of the polynomials. They then discuss how they...
Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: XYZ Tiles

For Students 8th - 10th Standards
Cover it up to reveal the values of variables. Using arrangements of colored tiles representing algebraic expressions, pupils layer them over each other to determine the values of variables. The procedure models the elimination method in...
Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: Fill in the Boxes 2

For Students 8th - 10th Standards
Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...
Interactive
CK-12 Foundation

Algebra Expressions with Exponents: Fish Tank Cube

For Students 6th - 8th Standards
There's nothing fishy about this resource. A slider interactive lets users adjust the side length of a fish tank cube. It aids in seeing changes in the volume and how to express the volume using an algebraic expression.
Interactive
CK-12 Foundation

Area Between Curves: Income and Expenses

For Students 11th - Higher Ed
Use the area of polygons to calculate the area between curves. Pupils calculate areas under income and expense curves by filling the space with squares and right triangles. Using that information, they determine the profit related to the...
Interactive
CK-12 Foundation

Circles Not Centered at the Origin: Room Rearranging

For Students 11th - Higher Ed Standards
Where does a circular table fit best? Individuals move a circle representing a table into different quadrants of a room. Pupils determine which equation of the circle will place the table in the appropriate quadrant. A discussion...
Interactive
CK-12 Foundation

Parametric Equations: Protecting the Village

For Students 11th - Higher Ed
Determine the location of the pillars in time. Given a table of values for two parametric equations, pupils complete the table to determine the location and time it takes to build the pillars. Learners plot the points representing...
Interactive
CK-12 Foundation

Values Written as Powers: Binary Numbers 17 to 24

For Students 6th - 8th Standards
Boost mathematicians' proficiency of binary numbers 17 to 24 with an interactive comprised of six questions—multiple-choice, true or false, and a discussion. A color-coded table reveals binary equivalents to aid in the problem-solving...
Interactive
CK-12 Foundation

Volume by Disks: The Vase Case

For Students 11th - Higher Ed
Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...
Lesson Plan
Curated OER

Principles of Square Roots Lesson Plan

For Teachers 8th - 11th
Middle and high schoolers investigate all the different places in math that square root is present. In this geometry lesson, pupils discuss square roots as it relates to a right triangle and construction. They go over altitude, rise,...
Interactive
CK-12 Foundation

Sums of Mixed Numbers: Split the Addition

For Students 5th - 8th Standards
Five questions challenge scholars to add mixed numbers. A tool creates a visual model that separates whole numbers from fractions parts. Problem types include fill in the blank, true or false, and discussion.  
Lesson Plan
Curated OER

Properties of Logarithms

For Teachers 9th - 12th
Students explore the concept of logarithms.  In this logarithms activity, students discuss the logarithm properties.  Students use linear functions as a basis to develop the logarithm properites by substituting log b and log a...
Lesson Plan
Curated OER

Data Analysis Using Technology

For Teachers 5th - 8th
Analyze data using technology. Middle schoolers design data investigations, describe data, and draw their own conclusions. Then they select the best type of graph, graph and interpret the data, and look for patterns in trends. They also...