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CK-12 Foundation
Sums of Integers with Different Signs: Board Game
Five questions challenge scholars to show what they know about integers. Using an interactive board game, learners move pieces to discover where a player landed, then answer problems involving both positive and negative integers.
CK-12 Foundation
Measurement of Probability
Stockings make your legs warmer and math more enjoyable. A drag-and-drop interactive has pupils take stockings out of drawers to calculate probabilities. This includes dependent events where the probabilities depend on previous stocking...
Concord Consortium
Betweenness I
Just between us, this is a pretty cool lesson! Given two functions with the same slope, learners write three new functions whose outputs are all between the given functions. The question is open-ended, allowing pupils to explore the...
Concord Consortium
The Line and the Ellipse
What do a line and an ellipse have in common? Maybe zero, one, or two points! Learners consider the equation of an ellipse and a line to determine if their graphs have any shared points. They then write a system of equations, including...
Concord Consortium
Intersections II
How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...
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
Decimal Rounding Given Place Value
Tests mathematicians' knowledge of decimals, place value, and rounding with a five-question interactive. A tool with movable parts assists scholars in answering questions—multiple-choice and true or false. A discussion question...
CK-12 Foundation
Differences of Fractions with Different Denominators
Subtracting fractions with unlike denominators is the focus of an interactive designed to boost mathematicians' problem-solving skills. Five questions challenge participants to answer multiple-choice and true or false questions with help...
CK-12 Foundation
Sums of Fractions with Like Denominators: Cheesy Bread
Five questions make up an interactive all about adding fractions with like denominators. Mathematicians answer multiple-choice problems and an open-ended question using a fraction model that resembles sliced bread. The practice ends with...
CK-12 Foundation
The Percent Equation: Soccer Stadium
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...
Mathematics Assessment Project
Printing Tickets
That's the ticket! Pupils write and investigate two linear functions representing the cost of printing tickets. Individuals then determine which of two printing companies would be a better buy.
Balanced Assessment
Melons and Melon Juice
Model the difference between the graphs of discrete and continuous functions. Scholars examine two scenarios and construct graphs to model the situation. They then compare their graphs that illustrate the subtle difference between these...
CK-12 Foundation
Mutually Inclusive Events: Flower Beds at the Community Garden
What color does your garden grow? Learners manipulate the number of flowers of two colors in two garden plots. They determine the probabilities of choosing a particular color of a flower in a given plot. Scholars find the relationship of...
CK-12 Foundation
Conjectures and Counterexamples: An Extra Slice!
Class members will eat up an enticing interactive that lets users change the location of cuts made into a pizza to adjust the number of created slices. They create a counterexample for a conjecture on the number of slices.
CK-12 Foundation
Order Real Numbers: Pie Baking Contest
Time is on your side. Scholars plot three points on number lines with different time units to represent the time it takes three people to bake pies. They determine the fastest baker and the difference in times between the bakers.
CK-12 Foundation
Single Bar Graphs: Cupcakes
What is a little cake among friends? Given the relationship between the number of cupcakes five friends have, pupils create a bar graph. The learners answer questions about the graph and adjust the graph if one friend shares some of his...
CK-12 Foundation
Equivalent Fractions
An interactive made up of five questions tests scholars' knowledge of equivalent fractions. Two fraction circles with moveable parts assist mathematicians in finding solutions. Questions are multiple-choice with one discussion.
CK-12 Foundation
Expression Evaluation with Different Denominators: Adding Mixed Fractions of Water
An interactive challenges mathematicians to add mixed fractions with unlike denominators. Five questions—fill-in-the-blank and multiple-choice—build from one to the next leading the way to an open discussion about denominators and...
California Mathematics Project
Reflections
Reflections are the geometric mirror. Pupils explore this concept as they discover the properties of reflections. They focus on the coordinates of the reflections and look for patterns. This is the third lesson in a seven-part series.
CK-12 Foundation
Discriminant
Discriminate between the types of roots. The interactive root introduces the discriminant and its connection to the types and number of roots. Pupils use a slider to view graphically the effect of the sign of the discriminant on a...
CK-12 Foundation
Pythagorean Theorem for Solving Right Triangles: Solving the Triangle
Observe the change in the trigonometric ratios as angles vary. An interactive provides the values of trigonometric ratios for both acute angles in a right triangle. Pupils create a right triangle to match given criteria and find the...
CK-12 Foundation
Using Quadratic Equations to Solve Problems: Pizza Slice!
Get the most out of a pizza. Class members use an interactive to simulate cutting a pizza to determine the maximum number of slices possible. The pupils create a set of data points and determine the equation that models the relationship.
CK-12 Foundation
Addition of Integers: Polka Dots
What happens when you add negative and positive integers to one another? Do you add or subtract, and will the answer be positive or negative? Young mathematicians use blue and red polka dots to determine the value of an expression that...
CK-12 Foundation
Greatest Common Factor Using Factor Trees
Beginning with a description that sets the stage, learners are asked to break down the numbers 42 and 63 to find the greatest common denominator using factor trees. As they work through the factoring process, young mathematicians are...