Mathematics involves a study of patterns. The exploratory lesson has learners consider the addition pattern in different sets of numbers. Each set has a different pattern that pupils describe mathematically. The patterns involve...

In this algebra worksheet, students identify and use the properties of real numbers to solve problems. They identify and differentiate between rational and irrational functions. There are 13 problems.

Adolescents love to shop, especially when an item is discounted. Here, shoppers only have a set amount of money to spend. Will they be able to make a purchase with the discount and tax added in? Percent discounts can be calculated...

Challenge individuals to compete as many tasks as possible. Lower-level tasks have pupils apply costs and rates to solve problems. Upper-level tasks add algebraic reasoning and conditional probability to the tasks.

Fraction and integer operations follow the same rules.  Assess the depth of understanding with operations with rational numbers using a presentation from the Grade 7 Claim 1 Slideshow series. A set of slides presents 12 question and...

Explore properties of integers! In this algebra lesson, pupils add, subtract, divide and multiply using integers correctly. They differentiate between rational and irrational numbers.

Kids love calculator tricks. They can add, multiply, and divide using their basic calculator to build number sense and have fun at the same time. One trick and a full rational as to how it works makes a great morning warm up.

Put your mathematicians to the test and see if they can solve this worksheet full of multi-step equations with rational numbers. Add, subtract, multiply, and divide with fractions and decimals to solve for x. The top of the worksheet has...

A simple real-world problem involving taxi cab fares is used to practice the multplicaiton and division of integers. How many of two different-sized taxis  are needed to transport 75 people to the airport? What is the least...

Pupils use blocks and markers to illustrate the processes of adding, subtracting, multiplying and dividing integers. In this mathematics lesson, learners use Algebra blocks to demonstrate multiplying polynomials.

The class uses pictures of Nick's sticker sets to count and add the number groups of stickers in each set. The image of Nick's sticker sets would also be a good way to represent part/whole for setting up rational for fractions.

Sometimes dealing with decimals is so much easier than dealing with fractions. The ninth lesson in a 21-part module has the class consider situations when it might be easier to add or subtract fractions by first converting to...

What is that fraction doing as an exponent? Fun math games prompt learners to practice evaluating radical expressions and expressions containing rational exponents, both in groups and individually.

Middle schoolers add, subtract, multiply, and divide rational numbers. They find the square and the cube of numbers. They create a game incorporating computation on rational numbers. Everyone works together to write and evaluate...

The Egyptians used unit fractions to describe all other fractions. Your class will rewrite rational expressions in order to deduce information about rational numbers. The activity starts with specific fractions, guides you through a few...

Students investigate the concept of using fractions to solve problems involving rational numbers. They order real numbers on the number line with the classification of fractions. Also students solve problems using the four operations...

Students practice multiplying decimals and/or mixed numbers, explore the effects of multiplying decimals and mixed numbers, and practice predicting the effects of multiplying a number by a decimal or mixed number.

In this arithmetic operations worksheet, 9th graders identify and solve 48 different problems that include applying Arithmetic operations with various types of numbers. First, they simplify each of the expressions using integer...

The LCM will be your new BFF. Learners review least common multiple and least common denominator applications, mostly on fractions, from middle school. Scholars then see how the LCM can be applied to various types of problems from...

Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...

You can't evaluate an irrational root expression without a calculator—or can you? Scholars estimate the value of roots within an expression to approximate the value of the expression. Expressions include a mix of square roots and whole...

Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...

All is not simple in the garden of rationals and irrationals. Learners use a context of a garden to practice simplifying irrational numbers involving radicals. They also find areas of garden with irrational side lengths.

In this algebra instructional activity, students add and subtract rational expressions using the LCM. They combine like denominators before they add and subtract the expressions. There are 8 questions.