Future mathematicians learn how to evaluate numerical expressions by applying the order of operations. They evaluate similar-looking expressions to see how the location of parentheses and exponents affects the value. 

Four 4s represent the counting numbers. Pupils attempt to write equivalent expressions to as many counting numbers as possible using only four 4s. Scholars then determine whether the same feat is possible using only three 3s.

Have scholars show what they know with a 20-page assessment aligned to the California State Standards. The test covers concepts such as large and whole numbers, all four mathematical operations, fractions, decimals, geometric figures,...

Obviously, four is the perfect number when you're playing Four Square. Scholars first use multiplication and division to solve a set of problems on the number of balls needed, the number of games, and the number of players required for a...

It's time for them to show you what they've learned! The review provides a sampling of the different concepts learned throughout the eight-part series. Learners solve equations by combining like terms, applying the distributive property,...

Test your scholars' knowledge of a multitude of concepts with an assessment aligned to the California math standards. Using the exam, class members show what they know about the four operations, positive and negative numbers, statistics...

Harness the power of algebra to solve problems. Young mathematicians learn to work out multi-step problems by applying algebraic techniques, such as solving equations and proportions. They use tape diagrams to model the problem to finish...

A transformational assessment determines how far pupils are advancing toward mastering complex and matrix standards. The assessment checks the learners' understanding of linear transformations, complex numbers and the complex plane,...

Assess your classes' knowledge using questions that require high-level thinking and explanation. Learners use matrices to answer application questions. They also demonstrate their understanding of matrix operations.

Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.

When do teams want a strike? When they are playing this fun math game modeled after bowling. First, class teams roll four dice to generate the numbers they will use in that round, called a frame, of the game. Next, pins numbered 1...

Food companies understand how to use math to their advantage. Learners explore the math related to the packaging and serving size of yogurt. They then use unit analysis and percent values to make decisions on the product development.

Pictures, number lines, decimal equivalents, or Cuisenaire rods can be used to show insight into the meaning of multiplying fractions.Here, Alisa drinks 3/4 of 1/2 liter of juice. To find the total volume of the juice that Alisa...

If members of your class wonder where they can use the math they learn in middle school, let them discover the answer. Learners apply geometry concepts of scale and measure to calculate the costs of framing a house addition.

In the United States, most trains operate at a top speed of 100 miles per hour. Scholars use information on the distance and time of a train trip to determine if the train ever reaches a specific speed. They connect pieces of information...

Assess scholars' knowledge with a 22-page assessment that covers place value, patterns, probability, estimation, measurement, geometric figures; and their ability to add, subtract, multiply and divide proficiently. 

Challenge young mathematicians to buy classroom supplies by staying within the means of a $1,000 budget. The mathematical activity provides learners with the opportunity to decide what items from the supply list would benefit a class of...

Practice simplifying complex fractions and long division of polynomials with this brief exercise. These four questions make a challenging warm-up activity or a short, but comprehensive, follow-up after a detailed lesson on algebraic...

Your pupils just may know more than you think they do! A pre-test assesses their ability to solve and write equations. It includes simple quadratic and cubic equations as well. 

Aim high with a task on window washers. An assessment task challenges learners to determine the number of windows two people wash. They do this using a given number of window rows on each side of a building. In addition, they find the...

How much land does a parcel hold? How much fertilizer does it take for a field of corn? Pupils answer these questions and more as they apply ratio reasoning and unit analysis. 

Why do all sizes of pictures not show the same thing? Class members analyze aspect ratios of various sizes of photos. They determine which sizes have equivalent ratios and figure out why some pictures need to be cropped to fit...

While this activity is centered around expressions that represent the perimeter of a rectangle, it also hits at the fundamental concept of equivalent expressions, simplifing expressions, and like-terms. Classmates express their...

Test young mathematicians' knowledge with an assessment aligned to California's fifth grade state standards. The exam covers a multitude of concepts including fractions and decimals, positive and negative numbers, measurement; and...