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. 

Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...

How much do you know about exponents? The pre-test covers the concepts of integer exponents with both numerical and algebraic one-variable expressions. The test is also over representing numbers in scientific notation, operating with...

Here's a video that presents several numerical expressions to be evaluated using a calculator.Viewers come to realize that sometimes it is not just a matter of punching in the numbers, but they also need to be concerned about how...

It is important for the algebra learner to understand the use of parentheses. Mathematicians of all levels can make errors with nested parentheses. This will give them some practice. It makes for a good class starter or quick assessment.

Eric and Leila's video game scores are the inspiration for writing equations with parenthesis. The numbers are purposefully large to deter the class from calculating them: rather this activity meets the standard that asks 5th graders to...

Your class is asked to use inverse operations to solve eleven equations for unknown variables or to rearrange formulas to highlight a quantity of interest. By using the same reasoning as solving one- and two-step equations, algebra...

Can Dan make a conjecture about dividing fractions with the same denominators? That is what your scholars are to determine. They must show that if the statement is true, they understand how the quantities were determined, and how...

Sew up your unit on operations with decimals using this assessment task. Young mathematicians use given rules to determine the amount of fabric they need to sew a pair of pants. They must also fill in a partially complete bill for...

It's all in the numbers! Create a mathematical model to analyze a number game and develop a winning strategy. Using a given numerical pattern, scholars write an expression to model the scenario. They then interpret the pattern of the...

In need of an all-inclusive seventh grade math resource? Packed full of the topics necessary for Pre-Algebra the packet includes practice problems with different difficulty levels. It works great for any supplemental use needed...

Parentheses are an important tool in the algebraic toolbox in regard to the structure of the algebraic equation. They are the beginning of the standard order of operations rule, the P in PEMDAS. The central question...

Put expressions, equations, and inequalities to work! Young scholars solve problems using various strategies. Meant as a snapshot of the Smarter Balanced Assessment, a set of seven questions includes topics from writing expressions to...

Halfway through the module — the perfect time for an assessment. The 18th installment of a 36-part series is a mid-module assessment. Scholars provide evidence of understanding through various mathematical and contextual problems.

Math is all about finding patterns. In this ask, scholars first investigate a sequence formed by squaring the sum of the digits in the previous term. They go on to investigate a second sequence and write an algebraic expression for this...

Let's paint the town equal parts yellow and violet, or simply brown. Pupils calculate the amount of blue and red paint needed to make six quarts of brown paint. Individuals then explain how they determined the percentage of the brown...

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.

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...

Show your classes the magic of numbers. Using a number trick, learners practice writing algebraic expressions. They then use their expression to perform the trick. Their exploration should help them understand the magic behind the trick.

Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...

Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...

Winning a spin game is random chance, right? Pupils create a table to determine the sample space of spinning two spinners. Individuals determine the probability of winning a game and then modify the spinners to increase the probability...

Quickly get to the decimal point. The last assessment in a nine-part series requires scholars to work with decimals. Pupils compare the race times of several athletes and calculate how much they have improved over time. During the second...

Hooray for chocolate chip cookies! Ask your mathematicians to triple a chocolate chip cookie recipe and then reduce the recipe by one-fourth. Your class may need two days to complete, tripling the recipe the first day and reducing the...