Adolescents love to shop, especially when an item is discounted. Here, shoppers only have a set amount of money to spend. Will they be able to make a purchase with the discount and tax added in? Percent discounts can be calculated...

A different way to look at integers is on this number line with variables in place of numbers. Learners are to look at different expressions and describe why they think the answer would be positive or negative, depending on the location...

Mathematicians need to know that not all numbers are rational. We approximate irrational number with rational numbers. That is why a calculator may be misleading. This task give learners an opportunity to see how rounding a number and...

Your young landscapers do concentration calculations in this problem dealing with mixing fertilizer. Learners use and analyze rational expressions within this context.

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...

Learners complete addition and multiplication tables that include rational and irrational numbers. They also answer a series of questions about the sums and products of irrational and rational numbers. One suggested modification would be...

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,...

When three classrooms are to split up prize money, your mathematicians must find the percentage that each class deserves and calculate the total amount. There is an option to use a calculator and practice rounding. 

Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...

Learners demonstrate their ability to operate with rational numbers through a five-question assessment that includes questions ranging from simple operations with integers to solving two-step equations with rational coefficients.

Find the best protein-packed cereal. The short assessment task covers equivalent and comparing ratios within a context. Pupils determine the cereal with the highest ratio of protein. A rubric helps teachers with point allotments for...

Young mathematicians learn how to simplify expressions with square roots by watching a video that shows several ways to rewrite expressions involving radicals. They work on questions where they rationalize denominators and expand and...

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...

Determine the right mix of cans of cat food. The resource consists of an assessment task to determine the cost to feed two cats for a specific number of days and requires scholars to interpret remainders within a context....

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...

Mathematics involves a study of patterns. The exploratory lesson has learners consider the addition pattern in different sets of numbers. Each set has a different pattern that pupils describe mathematically. The patterns involve...

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...

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...

The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...

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.

Model the effects of practice on texting speed. Pupils develop a linear equation that models the change in texting speed based on the amount of practice. The sixth performance task in an eight-part series requires learners to solve...

Pupils design a fence for a backyard pool. Scholars develop a fence design based on given constraints, determine the amount of material they need, and calculate the cost of the project. 

[Free Registration/Login Required] In this formative assessment task, learners are asked to explain how rational and irrational numbers differ and why the product of a non-zero rational number and an irrational number is irrational....

Determine whether an expression that is the combination of two rational/irrational numbers is rational or irrational itself. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...