Partners create integer multiplication word problems and swap them to solve, followed by altering the problem to use rational numbers. By working with word problems involving multiplication and division of rational numbers, pupils...

Develop the rules for adding rational numbers. Pupils continue to work on adding integers. Young mathematicians use their experiences to develop the rules for adding integers with like and unlike signs. They finish the lesson plan by...

Partners fill out a register to record transactions on a college investment account. They use the amounts listed to calculate the running and current balance of the account, providing experience in adding and subtracting rational numbers.

Subtraction is all about opposites, and the fifth activity in a series of 25 introduces the concept of subtracting integers. Pupils connect subtracting with discarding a card in the integer game. They develop the rule for subtracting...

Eight different numbers are listed for mathematics masters to analyze. They simply tell if each number is rational or irrational. They can also explain their reasoning. A simple and straightforward worksheet that is a handy tool for...

There has to be a better way than counting. Pupils find the distance on a number line between rational numbers by counting the number of intervals. Through a discussion, the class sees the connection between absolute value and the...

Explore rational numbers with the young mathematicians in your class. They will investigate decimals, fractions, and percents before ordering and comparing rational numbers. This multi-day unit includes differentiation activities and...

Measure the temperature of your math class with a temperature-based lesson on adding and subtracting rational numbers. The thermometer serves as a vertical number line for learners as they work together to solve a temperature change...

Use properties to evaluate several multiplications and divisions. The 16th lesson plan in a series of 25 demonstrates to scholars how they can utilize properties of operations to evaluate complex numerical expressions involving...

Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...

Represent, order, and compare rational numbers in order to practice placing them on a number line. Your class will use appropriate operations, methods, and tools to compute with real numbers. Then they must explain completely and clearly...

Analyze algorithms for computing with rational numbers and develop fluency in their use with your math class. They work individually to solve the problems on the "Alternative Algorithms" sheet. Then, they analyze the appropriateness of...

Add an engaging resource to your lessons on rational numbers and watch your pupils' understanding multiply. Learners determine rules for adding, subtracting, multiplying, and dividing integers. Individuals then extend these rules to all...

The ninth part in a 25-part series emphasizes the importance of using properties of operations in evaluating sums and differences of rational numbers. Pupils solve problems and provide justifications for each step.

Convert fractions that cannot be written with a denominator that is a power of 10. Pupils use the definition of a fraction and long division to convert fractions to decimals, then discover that some divisions terminate and others...

Apply properties of operations to work with mixed numbers. The first of two lesson plans that focus on properties of operations works with mixed numbers and converting opposites of sums. Pupils work with properties of operations to break...

Start seventh grade with a bang with the first chapter of an eight-part workbook series that guides learners through problems involving simple probability, percents, and rational number equivalence.

A six-question interactive takes mathematicians to Lollipop Land where they manipulate lollipop trees to make equivalent ratios.  Question types include multiple-choice, true or false, and a discussion. 

The 20th segment in a series of 25 has learners work with percentage problems to generate equivalent expressions. Pupils find discounted prices using numerical and algebraic expressions. The task then requires individuals to find the...

Groups write and evaluate expressions for various phone plans and scenarios to find which is the best deal. They then compare different approaches to writing expressions for the same scenario and discuss the concept of equivalent...

Fourth graders complete a worksheet. As a whole class, 4th graders hear a lecture and complete a worksheet on factors, multiplicative inverses and reciprocals, finding the quotient of two fractions and the division of fractions to...

Mathematics minors consider the magnitude of a jumping flea as he hops from place to place. Through this exercise, they will investigate absolute values, as well as positive and negative rational numbers on a number line. The first page...

Create models to demonstrate multiplication and division of fractions. Using fraction tiles to model fractions, pupils explore fractions on a ruler and use pattern blocks to multiply and divide. They also create number lines with fractions.

Take an irrational approach to numbers with a Smarter Balanced assessment that covers the introduction of irrational numbers. The nine items cover identifying irrational numbers, approximating them with rational numbers, and converting...