Interactive
CK-12 Foundation

Reference Angles and Angles in the Unit Circle: Exploring Reference Angles

For Students 10th - 12th Standards
A steal of a deal — get four angles for the value of one. An interactive resource allows individuals to visualize all four angles that have the same reference angle. Pupils answer questions by using the interactive to create the...
Interactive
CK-12 Foundation

Multiplication of Monomials by Polynomials: Distributing the Monomial

For Students 8th - 10th Standards
An interactive shows graphically the distribution of a monomial across all the terms in a polynomial multiplication problem. Pupils relate the specific example to a more general problem then make conclusions to develop a pattern for...
Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: Fill in the Boxes 1

For Students 8th - 10th Standards
Eliminate a color by dragging shapes. The interactive provides a graphical color display that allows for pupils to solve a linear system by elimination. Learners combine figures following set rules for positive and negative shapes. The...
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

Combinations: Making the Team

For Students 9th - 12th Standards
Determine how many three-player teams you can make from five players. Pupils drag dots representing players to create a list of teams they can form with a limited number of players. They then find out the number of teams one...
Interactive
CK-12 Foundation

Intercepts and the Cover-Up Method: The Hidden Zeros

For Students 7th - 10th Standards
There's no need to cover up this resource — it's good one! Pupils use a slider interactive that covers up parts of the standard form of a linear equation and simultaneously reveals one of the intercepts of the graph. This lets them see...
Interactive
CK-12 Foundation

Definition of Probability: It's in the Bag!

For Students 6th - 8th Standards
It's not in the bag. An interactive provides the probability of picking a certain color marble from a bag after several marbles have been removed. Young mathematicians learn about dependent events from this resource.
Interactive
CK-12 Foundation

Slope: Hiking in the Woods

For Students 7th - 9th
Learning about slopes from a hike in the woods is a walk in the park. Scholars slide a cutout of a person to simulate a hike along several paths. Passing through indicated points reveals the type of slope (positive, negative, zero, or...
Interactive
CK-12 Foundation

Distance Between Two Points: Biking the Blocks

For Students 9th - 12th Standards
Distance estimates would be easy if the world were a grid. Scholars work to determine the distance between two structures using a coordinate plane. As an introduction, the lesson focuses on vertical and horizontal distances.
Interactive
CK-12 Foundation

Graphs in the Coordinate Plane: Functions on a Cartesian Plane

For Students 6th - 8th
Connect the dots to graph a linear function. Young mathematicians use an interactive to first plot provided points on a coordinate plane. They connect these points with a line and then answer questions about the slope and y-intercept of...
Interactive
CK-12 Foundation

Problem Solving Plan, Mental Math: The Perfect Lemonade 1

For Students 7th - 10th
Find the perfect amount of water for lemonade. Scholars solve the famous problem of measuring four liters of water using a three-liter container and a five-liter container. An interactive allows users to see each step of the solution.
Interactive
CK-12 Foundation

Polygon Classification in the Coordinate Plane

For Students 6th - 10th Standards
Classify this resource into the "Use" pile. Scholars use an interactive coordinate plane to plot polygons given coordinates for the vertices. They use properties to classify each polygon and answer a few challenge questions regarding the...
Interactive
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CK-12 Foundation

Introduction to Mean, Median, and Mode: The Tree Conundrum

For Students 6th - 8th Standards
How many trees should we plant? Using an interactive as a manipulative, individuals find the mean, median, and mode for sets of data. They determine the number of trees to plant in each plot of land to reach a statistical goal.
Interactive
CK-12 Foundation

Proofs: Angle Pairs and Segments—The Three Angle Problem

For Students 9th - 11th
Finding the sum of the measures of three angles is easy, unless you have no clue what the measures are. Learners use an interactive diagram to see a geometric problem in a different way. A set of challenge questions takes them through...
Interactive
CK-12 Foundation

Evaluate Limits Using Graphs and Tables: Evaluate the Limits

For Students 11th - Higher Ed
Discontinuities in the graph? No worries. Pupils investigate the limit of a function given graphically using an interactive. The graph has removable and jump discontinuities.
Interactive
CK-12 Foundation

Limits of Polynomial and Rational Functions: Evaluating the Limits of the Quadratic Function

For Students 10th - Higher Ed
Push an engaging resource to the limit. The interactive allows learners to find a limit on quadratic functions graphically. Using sliders, pupils set the x-value for the limit and to move values from the left and right toward the limit.
Interactive
CK-12 Foundation

Sum Notation and Properties of Sigma: Cracking the Code

For Students 11th - Higher Ed
Help your class develop an understanding of sigma notation. Pupils match the sigma notation with the sums. Using the expanded sums, learners evaluate the summations. The scholars move on to prove a property of sums.
Interactive
CK-12 Foundation

Sequence: The Sequence Calculator

For Students 11th - Higher Ed Standards
Work through a sequence in discovering number patterns. Using the interactive, pupils explore arithmetic and geometric sequences by setting the initial value and the common difference or ratio. Learners distinguish between the two types...
Interactive
CK-12 Foundation

Limit of a Sequence: Finding the Limit of a Sequence (Part 4)

For Students 11th - Higher Ed
Take a look at another alternating sequence. The resource provides a graphical display of a sequence that alternates between two values. Pupils use the display to determine whether the sequence has a limit. Given a theory of limit,...
Interactive
CK-12 Foundation

Equations of Circles: Finding the Equation of a Circle

For Students 11th - Higher Ed Standards
It's all about location and size. With the aid of the interactive, pupils explore the relationship between the location and size of a circle and its equation. The learners use that relationship to determine the equation of a circle given...
Interactive
CK-12 Foundation

Fraction Rounding to the Nearest Half: Beaker Math

For Students 6th Standards
Rounding fractions is the focus of a six-question interactive designed to boost concept proficiency. A measured beaker's water level increases and decreases as mathematicians move the tool to represent specific fractions. Questions...
Interactive
CK-12 Foundation

The Percent Equation: Soccer Stadium

For Students 6th - 8th Standards
A soccer-themed interactive challenges mathematicians to solve five questions involving percent equations. Question types include multiple-choice, fill in the blank, true or false and a discussion. A color-coded stadium with movable...
Worksheet
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K12 Reader

Traveling to the Distant West

For Students 6th - 8th
If you build it they can come. After reading a short article about the impact of western expansion, middle schoolers cite evidence from the article to explain how this expansion forced changes in transportation.
Worksheet
Public Schools of North Carolina

Math Stars: A Problem-Solving Newsletter Grade 4

For Students 4th Standards
Fresh off the press, these math newsletters will challenge the problem solving skills of your young mathematicians. With an incredibly wide variety of questions covering the topics of arithmetic and geometry, these unique...