Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...

Ninth graders research the average temperature and precipitation of a prairie region to determine the type of climate it is, and how it differs from other biomes. They examine the types of adaptions animals have made to live in the...

A great activity for scaffolding critical thinking about mathematical concepts. This resource provides learners with a brief explanation of multiples followed by 29 practice problems which gradually increase in difficulty. Several tables...

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...

Learners explore linear functions concretely using tables of values in a cooperative task. The concept of the values of linear functions changing by equal differences over equal intervals of one is emphasized. Learners will discover...

Pupils notice a number pattern in the book The Rabbit Problem by Emily Gravett. In this number pattern lesson, students represent and describe numbers appropriate to their grade level.

Fourth graders investigate repeating and growing patterns. Models, graphs and words are used to describe, extend and represent patterns. Students use evidence from models and graphs to support the identification of patterns.

Is it possible to solve quadratic equations by factoring? It is, and your class will graph quadratic equation and functions too. They perform transformation on their graphs showing increasing and decreasing intervals, domain, and range....

In this ice cream patterns worksheet, students cut out ten scoops of ice cream and two cones. Students team up with a partner and exchange matching different patterns for the other one to model.

Fourth graders extend and continue numerical patterns using function or input/output machines. They finish the increasing patterns using input/output tables, and generalize the rules that apply to the pattern. They complete the...

Students explore the relationship between the amount of weight that can be supported by a spaghetti bridge, the thickness of the bridge, and the length of the bridge to determine the algebraic equation that best represents that pattern...

Fifth graders investigate growth patterns using blocks. In this square and triangle numbers lesson, 5th graders predict sizes of larger triangles and squares based on numerical patterns they observed while building. 

Fifth graders read and write equations. For this equation writing lesson, 5th graders use real life scenarios to write equations. Students use manipulatives, draw pictures and make tables to understand how to write equations. Students...

In this trigonometry activity, students calculate the sum of the terms in an arithmetic and geometric series.  This two-page activity contains 5 multi-step problems.  Answers are provided at the bottom of the page.

In this online number sequences learning exercise, students work out the answers to eight comprehensive exercises with thirty-eight calculations involving a variety of sequences. Students answers are automatically graded online as they...

In this practice with sequences instructional activity, students find the arithmetic sequence and geometric sequence of given problems.  They determine the percent of change and solve exponent problems.  This one-page...

In this 3-day place-value lesson, upper-elementary kids investigate the base 5 and base 2 systems as an introduction to exponents and powers. They create a pocket chart to help ground their understanding of bases, exponents, and powers,...

Students identify the repeated sequences of a pattern. In this geometry lesson, students identify fractals in patterns and nature. They construct a fractal tree and make conjectures.

In this math worksheet, middle schoolers practice examining the concept of exponential increase within the context of paying a salary that starts as one penny per day.

Students identify the pattern changes that could occur in a series using pictures with dots. They use the patterns on the worksheets to have a context to describe pattern in words. Students look to find the linear, quadratic, or...

Young scholars explore patterns that involve doubling numbers. In this multiple patterns lesson, students use objects to explore these patterns while recording them using a table. Young scholars recognize even and odd number patterns...

Students discover patterns and write conjectures relating to perimeters and polygons. Working in cooperative learning groups, they use manipulatives and graphic organizers to solve problems then answer a series of questions in which they...

Eighth graders construct various machines and compare the work done by them.

Explore slope using geometric patterns. Young mathematicians investigate towers built from cubes to develop a linear pattern. They move the data to a coordinate plane to connect the pattern to slopes.