Explore a basic pattern to practice writing expressions. In collaborative groups, learners examine a contextual pattern and write an expression to model it. The task encourages groups to describe the pattern in multiple ways.

An interesting way to look at the kitchen floor is to count the number of tiles in the border. Fred starts with four white floor tiles and writes an expression for the number of tiles needed for the colored border. Algebra learners are...

Reinforce number sense with a collection of math lessons for kindergarteners through fifth graders. Young mathematicians take part in hands-on activities, learning games, and complete skills-based worksheets to enhance proficiency...

Explore patterns in the multiplication table in order to deepen your third graders' understanding of this essential skill. Implement this activity as a whole-class lesson, allowing students to work in pairs or small groups to support...

Don't think negatively about exponents. Young mathematicians dissect a fictional conversation between pupils trying to evaluate an expression with a negative exponent. This allows them to understand the meaning of negative exponents.

How many people can fit around a table? Depends on the size of the table, right? Explore patterns to generate an equation for the number of people that can fit around a table given its size.

Start off with the definition of the imaginary number i, then have your class practice simplifying expressions involving powers of i and look for patterns. See how the cyclic nature of powers of i translate to sums of powers of i.

Learners will shout "Eureka!" in this quick but deep activity replicating the famous bathtub experiment of Archimedes. Given the scenario of a king with a suspected fake crown, young investigators develop formulas using density to...

Your algebra learners interpret algebraic expressions, in order to compare their structures, using a geometric context. They also discern how the two expressions are equivalent and represent a pattern geometrically and algebraically.

Patterns, patterns, everywhere! Young scholars examine the multiplication table to identify patterns. Their exploration leads to an understanding of the difference of squares and sum of cubes by the completion of the algebra project.

Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...

Number patterns can seem mysterious. Help your learners unravel these mysteries as they complete an intriguing task. Through examination, collaborative groups determine that they are able to produce all integers above a certain...

The djinni in this resource offers gold coins. Learners use the properties of exponents to make their decision as one offer increases exponentially. This makes a great group project. As the commentary suggests, start by having groups...

Evaluate patterns of numbers through an engaging task. Scholars work collaboratively to determine a general rule reflecting the sum of consecutive positive integers. Multiple patterns emerge as learners explore different arrangements.

Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...

Top off your hot dogs with a little math. Learners view a video on a hot dog eating contest, and then answer questions using estimation. Using a table of hypothetical data, they create algebraic expressions to represent the situation.

Gain a little interest in functions with a real-life task. Young scholars analyze home loan data with a geometric sequence and series. They use the models to make predictions about the total loan payments at certain intervals in a...

Practice evaluating polynomial expressions at the same time you find Pythagorean Triples. Look for patterns and find examples when the "formula" does and doesn't work. Finally, verify the formula by proving the identity true.

Sometimes what seems like the easiest problem is really the most difficult. Your class is first going to reach for their calculators, but will realize the number is too large to evaluate. Now what? This is where the fun and the...

Play a game of capture the points. Young scholars receive a number line with specific points graphed and must write an inequality that captures all the points. The second task of the algebra project is to write an inequality with...

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...

Here is a great learning task that focuses on the development of areas in computational fluency including strategies in mental math. Young learners are guided through a list of addition expressions that help them visually understand the...

Somewhat of a puzzle, this problem gets pre-algebra preteens to write an expression representing a seating chart using triangle-shaped tables. This single task is an applicable lesson for meeting sixth grade Common Core math standards....

Mixture problems are a classic in first-year algebra. Unfortunately, many learners approach them in a formulaic fashion and don't truly understand the meaning of the algebraic expressions they are using. Here, the questions are not the...