CK-12 Foundation
Proportions and Scale: Problem Solving Plan, Proportions
Slide into a lesson on proportions. A slider interactive lets users adjust three of the four values in a proportion and automatically updates the fourth value. Scholars use the interactive to help answer a set of challenge questions on...
CK-12 Foundation
Proportions Using Cross-Multiplication: Proportions Using Cross Product
Don't get it crossed—the resource is a great one. Scholars read and watch a video that explains proportions and cross products. They then use an interactive to determine that cross products are equal and answer a set of challenge...
CK-12 Foundation
Addition of Integers: Number Blocks
A five-question interactive provides a horizontal number line where integers are stacked on top of one another to find solutions of addition problems. Mathematicians move numbers to the numbers line, as numbers build higher, the sum of...
Concord Consortium
Poly II
Create polynomials with specific values. The task consists of writing three polynomial functions that evaluate to specific values for any given number. Scholars first find a polynomial that evaluates to one for a given value, then a...
CK-12 Foundation
Values Written as Powers: Binary Numbers 25 to 31
A five-question interactive boosts proficiency in working with binary numbers. Multiple-choice, short answer, and discussion questions challenge mathematicians to write numbers 25 through 31in exponential and binary form. An adjustable...
CK-12 Foundation
Estimation of Whole Number Multiplication and Division: Lettuce Garden
Estimating whole number multiplication and division is the focus of an interactive that uses a garden plot with moveable points to answer six questions.
CK-12 Foundation
Addition and Multiplication Properties with Real Numbers: The Secret of Subtraction
An interactive boosts mathematicians' knowledge of subtracting integers using a horizontal number line by way of multiple-choice, true or false, and discussion questions.
CK-12 Foundation
Sums of Integers with Different Signs: Adding Between 10 and -10
Six questions make up an interactive designed to boost scholars' knowledge of integers. Mathematicians move symbols over a horizontal number line to aid in findings answers between 10 and negative 10. Question types include...
CK-12 Foundation
Prime and Composite Numbers
Nine true or false, multiple-choice, and discussion questions make up an interactive designed to reinforce scholars' knowledge of prime and composite numbers. A number chart reveals every prime number through 100.
CK-12 Foundation
Integers: Tiling a Chessboard with Dominoes
Ten questions make up an interactive all about integers. Scholars answer multiple choice, short answer, and discussion questions using a 4x4 chessboard and dominoes.
Concord Consortium
Proportional Representation
Sometimes the solution is all a matter of perspective. The short assessment task presents a problem to pupils that requires them to make sense of a diagram. Once learners see two similar triangles, the rest of the solution is solving a...
Concord Consortium
Perfect Ten
How many ways can you make 10? Class members tackle three problems to find all possible ways three numbers add to be 10. The first is with positive integers, secondly with non-negative integers, and finally with real numbers. Pupils also...
Concord Consortium
People and Places
Graph growth in the US. Given population and area data for the United States for a period of 200 years, class members create graphs to interpret the growth over time. Graphs include population, area, population density, and population...
Concord Consortium
Parameters and Clusters II
Let's give parameters a second try. Scholars take a second look at a system of linear equations that involve a parameter. Using their knowledge of solutions of systems of linear equations, learners describe the solution to the system as...
Concord Consortium
Parameters and Clusters I
Chase the traveling solution. Pupils analyze the solutions to a system of linear equations as the parameter in one equation changes. Scholars then use graphs to illustrate their analyses.
Concord Consortium
Outward Bound
Just how far can I see? The short assessment question uses the Pythagorean Theorem to find the distance to the horizon from a given altitude. Scholars use the relationship of a tangent segment and the radius of a circle to find the...
CK-12 Foundation
Integers that Represent Different Situations: Football Field
A football-themed interactive focuses on integers. Seven questions challenge scholars to show what they know by way of short answers, multiple-choice, and true or false. An open-ended question followed by a discussion concludes the...
College Board
AP Calculus: Slope Fields
Ready to field questions about slope fields? An article on AP® Calculus teaching methods describes how to teach about slope fields to solve differential equations. It gives some sample problems to consider with the class and how to...
College Board
Beginning the Year with Local Linearity
Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...
College Board
Calculus at the Battle of Trafalgar
All's fair in math and war. Scholars examine the Battle of Trafalgar using calculus. They set up and solve a system of differential equations to determine the number of ships remaining in each fleet over time.
Concord Consortium
Poly I
Root for young mathematicians learning about functions. A set of two problems assesses understanding of polynomial functions and their roots. Scholars select values for a, b, and c, and then create two functions that meet given...
College Board
Approximation
Sometimes close enough is appropriate. A curriculum document for AP® Calculus examines the importance of providing approximation questions throughout the course. It looks at approximating derivative values, approximating definite...
College Board
Extrema
No need to go to extreme lengths to find resources on extrema. The central focus of an AP® curriculum module is on critical points and extrema, and how to cover these concepts throughout the course. A set of three worksheets helps assess...
College Board
Reasoning from Tabular Data
Don't table the resource—use it now. An AP® Calculus curriculum module encourages the use of tabular data throughout the course. It provides some example topics, such as rate of change, net change, and average value of a function, where...