Mathematics is all about patterns. Young mathematicians analyze geometric patterns to write algebraic expressions. They use the expressions to predict future stages of the patterns.

Help your third graders become familiar with equivalent fractions for one-half by having them create a quilt. They will use triangles to create a quilt of equivalent fractions over a period of 6 days. As they create the quilt pieces they...

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.

Uncover the relationship between factoring quadratics and higher degree polynomials. Learners develop their factoring skills through repetition. A comprehensive lesson begins with quadratics and shows how to use the same patterns to...

Here is really nice set of resources on scientific notation. Eighth and ninth graders explore the concept of multiplying and dividing in scientific notation. In this multiplying and dividing numbers in scientific notation...

Students use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.

Model for your young mathematicians the process for converting repeating decimals to fractions. To demonstrate their understanding of the process, class members then complete and assessment task and participate in an activity matching...

What do yo-yos and pennies have to do with linear equations? Learn about writing and solving linear equations while considering the Yo-Yo Problem and Penny Pattern Exploration from the High School Math Project. Learners utilize algebra...

Everyone loves math when it includes food! This lesson tries to take the notion of combining like terms in algebra and comparing it to sorting apples and oranges. It takes a step-by-step approach to helping students understand this...

Ordering numbers just got physical! Learners practice putting numbers in sequence, both in fraction and decimal form. To begin, they line up in birthday order and discuss the difference between ascending and descending. They are then...

Students survey patterns and relationships and then predict outcomes in real-world situations.

Start off your young English language learners with this packet of materials, which covers three weeks of instructions. After completing the unit, kids will have practiced the letters K through Z, read several story books, talked with...

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.

Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...

After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a...

Develop an understanding of the properties of exponents through this series of activities. This third activity of 15 explores the patterns associated with the power property. Scholars expand the powers before applying the property.

Sew up learning on writing rules for patterns with an assessment task that has pupils investigate the number of triangles needed for cushions of different sizes. They then use the data to generate a rule for a cushion of any size.

How many times could California fit into the entire United States? Pupils use scientific notation to find the answer to that question in the 12th installment of 15 lessons. It asks scholars to write numbers in scientific notation and...

These numbers have some personality! Are they rational or irrational? The lesson examines the definitions of rational and irrational numbers and shows examples of how to identify them. 

Young mathematicians solve and complete eight different problems that include writing several equivalent expressions. They determine the number of tiles required to border around a square pool of the given dimensions. This terrific...

Take flight with a fun activity focused on graphing data on a coordinate plane. As learners study the data for Granny's hot-air balloon trip, including the time of day and the distance of the balloon from the ground, they practice...

How many total tiles does it take to tile a table top? Learners apply geometric concepts to determine the number of tiles needed for a specific square table top, and then use the result to create expressions for the number of tiles...

When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a learning exercise that engages scholars to properly label line graphs. It then requests two applied reasoning answers.

This study guide would be great to use when presenting a lesson on ratios and proportions. It includes clear definitions, explanations, and examples to work through as a class or individually. In addition, it has notes on rates and...