Build tables by understanding their structure. Scholars take a closer look at the structure of ratio tables in the 10th segment in a 29-part series. Individuals realize that the tables can be built using an additive or...

Introduce young mathematicians to concepts of financial literacy with this open-ended word problem. With seven dollars to spend during field day and given a list of available items and their prices, children must determine how they want...

Using a real-world example, this problem illustrates the thought process that learners need to engage in to understand adding mixed numbers with common denominators. First by looking at estimation, and then by drawing models that...

Electricity is the focus of this college-level midterm exam. It requres physics learners to answer multiple choice and short answer questions in addition to evaluating several diagrams and graphs. This is appropriate for most high school...

Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...

Although the United States observes Daylight Savings Time, many countries decided against it. A free-response question, part of a set of sample questions from the 2010 AP® English Language and Composition exam, has writers consider the...

Understanding the concept of equality is fundamental to the success of young mathematicians. To explore this basic idea, children compare the dots arranged in pairs of rectangles in order to determine whether or not they contain an equal...

What number does 6 tens and 16 ones represent? How is it different from or similar to the number that 7 tens and 6 ones represent? This is the type of questions learners are asked to solve as a way to understand the concept of regrouping.

Develop a solid understanding of the manipulation of expressions to produce equivalent expressions. Given an expression, pupils rearrange it to create a new one. Their new functions must match the structure of the model expressions.

Young mathematicians connect vectors to geometric shapes by watching a video that expresses vectors in relation to the sides of geometric figures. They then apply what they learned by completing a activity of practice questions.

Even or not, here I come. Groups investigate the parity of products and sums of whole numbers in the 17th lesson in a series of 21. Using dots to represent numbers, they develop a pattern for the products of two even numbers; two odd...

Learning to add fractions with different denominators presents a big hurdle for many young mathematicians. Simplify the process for learners with this series of practice problems involving the friendly fractions tenths and hundredths....

Class members come up with a hypothesis on the number of decimal digits in the product of two decimals. Learners work in groups to complete several decimal multiplication problems. The results help groups develop a conjecture on the...

Illuminated physics stars show what they know about light by taking this exam. They match several related vocabulary terms to descriptions and answer multiple choice questions about the characteristics of light, magnification, and...

Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, students are asked to determine whether or not one half of each circle is shaded. To support...

Don't run from the resource—sprint to it. Using an engaging performance task, scholars consider a set of constraints on the creation of a track. Given several possible designs, they determine if the designs meet the constraints. If not,...

In this exercise, students practice addition word problems within 10. Students receive immediate feedback and have the opportunity to get hints and try questions repeatedly.

Solve equations where the unknown is a matrix, by using matrix addition and subtraction. Students receive immediate feedback and have the opportunity to try questions repeatedly or receive hints.

Test your arithmetic skills in addition, subtraction, multiplication and division problems. There are 13 levels and the test may be taken with or without a timer.

[Free Registration/Login may be required to access all resource tools.] Practice problems involving addition or subtraction of 3 measurements to solve for a specific length.

Students practice addition skills by generating their own review problems.

The practice problem uses graphical addition to sketch a new function. The graphs are available in PDF format.

The practice problem uses graphical addition to sketch a new function. The graphs are available in PDF format.

The example uses graphical addition to demonstrate the combination of two functions. The math graphs are available in PDF format.