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CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 3)
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...
School Mathematics Project
Resource Sheets
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,...
CK-12 Foundation
Angle-Side-Angle Triangles: Caution Tape
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.
EngageNY
Unknown Angles
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...
CK-12 Foundation
Restricted Domain and Range: Restricted Circle Radius and Area
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...
CK-12 Foundation
Whole Number Exponents: Teddy Bear Box
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...
CK-12 Foundation
Decimals as Fractions
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...
CK-12 Foundation
Exponential Properties Involving Quotients
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...
Illustrative Mathematics
Do Two Points Always Determine a Linear Function?
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...
CK-12 Foundation
Exponential Terms Raised to an Exponent: Exponential Sliders
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...
CK-12 Foundation
Quadratic Functions and Their Graphs: Soccer Ball Trajectory
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...
CK-12 Foundation
Polynomials in Standard Form
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...
CK-12 Foundation
Linear Systems with Addition and Subtraction: XYZ Tiles
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...
CK-12 Foundation
Linear Systems with Addition and Subtraction: Fill in the Boxes 2
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...
CK-12 Foundation
Algebra Expressions with Exponents: Fish Tank Cube
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.
CK-12 Foundation
Area Between Curves: Income and Expenses
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...
CK-12 Foundation
Circles Not Centered at the Origin: Room Rearranging
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...
CK-12 Foundation
Parametric Equations: Protecting the Village
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...
CK-12 Foundation
Values Written as Powers: Binary Numbers 17 to 24
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...
CK-12 Foundation
Volume by Disks: The Vase Case
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...
Curated OER
Principles of Square Roots Lesson Plan
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,...
CK-12 Foundation
Sums of Mixed Numbers: Split the Addition
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.
Curated OER
Properties of Logarithms
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...
Curated OER
Data Analysis Using Technology
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...