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...

Your sixth and seventh graders deepen their understanding of a number line and adding integers in this concrete, hands-on activity. Learners play "Warehouse Puzzle" and then discuss their game strategies and the characteristics...

Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...

Learn how to increase the probability of success. The 19th installment of a 21-part module teaches future mathematicians how to use probability to analyze decisions. They determine strategies to maximize the chances of a desired outcome.

Banks are responsible for keeping our financial information safe. Mathematics is what allows them to do just that! Pupils learn the math behind the cryptography that banks rely on. Using polynomial identities, learners reproduce the...

Practice addition, subtraction, multiplication, and division using tiles as manipulatives. In this math operations lesson, young learners choose the appropriate sized tiles, arrange them according to directions given by the teacher, and...

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...

Young mathematicians explore integers. They review adding integers through engaging in mathematical labs. Each lab station is designed to reflect one of the multiple intelligences. Resources for all activities are provided.

Mixed numbers can be added conceptually, algorithmically, and physically. Have the class visualize mixed numbers by adding fraction bars together. They then discover the algorithmic process that simplifies adding mixed numbers. Finally,...

Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...

Problem solving is a skill of its own. Learners use a variety of problems to encourage mental math and logic to get the correct answer. Guiding questions are provided along the way to encourage the right way of thinking to help tackle...

Math class is full of drama—there are so many problems to work out! Pupils work out factoring problems. They use quadratic methods of factoring higher degree polynomials, in addition to factoring the sum and difference of two...

It's more than just numbers on a line, its an organizational, mental math machine to help learners understand the value of numbers. The tool is handy when introducing positive and negative integers to see their values and...

Students are taught how to add and subtract and use number sense to solve basic math problems. In this addition and subtraction lesson, students are being taught using theories from different philosophers in education. They are given a...

Introduce young mathematicians to concepts of financial literacy with this open-ended word problem. With seven dollars to spend during field day and given a list of available items and their prices, children must determine how they want...

Can you add variables if you don't know their value? Using an empty number line, scholars first locate the position of the difference, sum, product, and quotient of two unknown integers. Later problems mix operations as well as add...

Shuffle 'em up and deal! Learners practice operations with polynomials using cards they pass around the room. The activity works with pairs or individuals, so it offers great flexibility. This is the fifth installment in a series of 42...

Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!

Build on your learners' confidence in quick addition as they discover strategies to add tens to two-digit numbers. After reviewing counting by 10's, they discuss tactics to add multiples of 10 to other numbers. They visualize how to...

Use a vocabulary chart to introduce math functions. The class defines a list of mathematical vocabulary terms on a worksheet, as well as completes equations and expressions. They examine word problems and practice transcribing them into...

Remember long division from fifth grade? Use the same algorithm to divide polynomials. Learners develop a strategy for dividing polynomials using what they remember from dividing whole numbers.

Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...

Middle schoolers solve integers using addition. In this algebra lesson plan, students add integers using counters. They define and label patterns created by integer operations.

Second graders explore estimation and place value. In this place value lesson, 2nd graders estimate and construct numbers while working with spider activities. Students use addition and subtraction to compare estimates. Resources and...