Examine scenarios involving number patterns. Learners complete a series of activities, including working with Pascal's triangle ando completing chart activities based on different pricing for pizza toppings. An included extension has...

Students work with rectangles to find generalizations for adding and subtracting odd and even numbers in part one of the lesson. In part two, students use geoboards to construct polygons, look for patterns, and find a general rule.

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...

Sticks and stones may break my bones, but these sticks will make me smarter. Pupils examine arrays of sticks to determine the next array in a pattern. They use the number of sticks added to each previous array to determine a recursive...

Sixth graders study number patterns. They observe dominoes to determine the next domino in the sequence. After studying the dominoes, they write an expression to represent the pattern.

Upper graders become "shipwreck detectives" by studying the debris field from a shipwreck in the Aegean Sea which took place in the 700s.  A website is accessed that gives specific information about the debris field, and pairs of...

After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.

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.

As part of a study of geometric patterns, scholars complete an assessment task determining the number of tiles needed to cover a tabletop. They then evaluate provided sample responses to see different ways to solve the same...

The task? Determine the how effective hospitals are at reducing the rate of hospital-acquired infections. The method? Data analysis! Using an open source software program, individuals use provided data and create scatterplots to look for...

Use geometric patterns to teach your class how to write functions. The assessment task has scholars consider a pattern of dots to draw the next picture of the pattern. Pupils then analyze the pattern, which helps them develop a function...

Which gender spends more time playing video games? Your classes use provided data to answer this question. They first build a two-sided stem-and-leaf plot and then use the display to look for patterns. Guiding questions help them...

Third graders use addition to create numbers that are palindromes and organize their results to look for patterns. They make generalizations from patterns and practice reading large numbers and addition with regrouping.

Maximize a profit with an understanding of geometric dimension. A real-world task challenges learners to design a pattern using three different brick shapes. The bricks are dedicated with a different donation for each shape, so part of...

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...

Solve equations by completing the square. The pupils factor quadratic equations and graph the parabola. They also identify the different terms in the equation and look for patterns.

Learners construct a variety of right triangles using a right-angled set square, cutting corners from pieces of paper or cardboard, and using dynamic geometry software. They measure the sides of these various right triangles and record...

Class members investigate relationships between two variables in the seventh installment of a 16-part module that teaches scholars how to find and describe patterns in scatter plots. Young mathematicians consider linear/nonlinear...

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 learners to work in pairs or small groups to support...

If you can multiply binomials, you can factor trinomials! This is the premise for a lesson on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading coefficients of one...

Middle schoolers investigate the validity of da Vinci's proportion theory by recording human measurements on scatter plots. In groups of three, they record each other's height and wingspan to create a Powerpoint presentation, chart, or...

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.

It's a bird, it's a ... device made to mimic birds. The eighth installment of a nine-part module has pupils read various articles to learn about bird flight. They consider the implications for aeronautical engineering.

The second lesson on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding inverses,...