Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make...

Back to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...

Add another strategy to the toolboxes of young mathematicians with this elementary math lesson on using number lines to add and subtract fractions.

Middle schoolers identify proper, improper fractions, and mixed numbers.  They reduce fractions to their lowest terms. They add and subtract fractions with different denominators, and multiply and divide fractions, as well as...

Students practice comparing and ordering fractions, mixed numbers, and decimals. In this fractions, mixed numbers, and decimals lesson, students examine a decimal place value chart compared to a whole number place value chart. They...

Is it possible to add infinitely long decimals? As pupils complete the examples in the ninth lesson of this 25-part series, they determine that adding these decimals cannot be done without error. Their task is then to determine the size...

Fifth and sixth graders compare decimals to the place-value structure in the base-ten number system. They represent fractions as parts of unit wholes, as parts of a set, as locations on a number line, and as divisions of whole numbers....

Introduces addition of decimals by using unit notation to represent the problem. Pupils use a place value chart to decompose the numbers and then add before connecting to the standard algorithm. 

Third graders complete a worksheet.  For this fractions lesson, 3rd graders review fraction vocabulary, use the SmartBoard to divide fractions and complete stations where they work with fractional parts of a whole.

Talk about delicious math! Pupils solve problems involving rational numbers and analyze real-life problems to find solutions in a pre-algebra class. They discuss the sections of a Hershey's bar in terms of fractions and decimals before...

In this addition worksheet, students add positive and negative integers and decimal numbers. All equations, except one, contain at least one negative integer. Students must determine the appropriate operation based upon the signed...

Students add and subtract decimal numbers. Using a specified website, students play an addition game. As they solve problems on the website, students may check their answers. Students play the game on the internet, and then perform...

In this multiplication of decimal fractions worksheet, 8th graders use the whole number multiplication fact given to work out the answers to three word problems. Students, in addition, estimate the answers to ten problems without using a...

Third graders add and subtract decimals.  In this third grade mathematics lesson, 3rd graders are given an imaginary $100 to purchase five Beanie Babies.  Students determine which five they would like to purchase and estimate...

Reinforce the concept of fractions and decimals as part of a whole with a lesson that begins with a mixed review, then goes into a three problem guided practice, and ends with a collaborative activity. The guided practice and activity...

In this care homework worksheet, learners add, subtract, multiply and divide numbers with decimals.  They solve problems involving mixed numbers.  Students find the area and perimeter of triangles and rectangles.  This...

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.

Finding a percentage of a number is a skill learners must know in order to be successful thinkers. The resource introduces this concept with a guided explanation and can be used with the additional materials as a...

Algebra learners can practice solving one-step equations using both addition and subtraction with decimal numbers.  A few problems challenge the pupil to write and solve their own equation based on information given in a table. 

Young mathematicians learn how scientific notation is meant to save time. Part 10, out of a series of 15, asks scholars to recognize the correct use of scientific notation and finish by adding and subtracting numbers using...

Let your understanding of multiplying decimals flourish and multiply. After briefly reviewing place value concepts and how to add and subtract decimals, scholars learn to multiply a decimal fraction (like 0.6) by a whole number. They use...

Complete problems using base ten blocks to see the difference in the place value of a decimal and how it affects a number's value. Learners compare decimal values as well. Ample time for discussion and modeling are allowed in the...

Here is one of the better lessons I've come across on how to teach fractions and decimals. This lesson does a great job of showing how these two mathematical representations of numbers are interrelated. Some excellent websites, printable...

Order up a resource on comparing rational numbers. Scholars order fractions, decimals, and percents by converting to a single form. They conduct a cut-and-paste activity ordering three sets of rational numbers.