Illustrative Mathematics
Placing a Square Root on the Number Line
There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...
Illustrative Mathematics
Operations on the Number Line
A different way to look at integers is on this number line with variables in place of numbers. Learners are to look at different expressions and describe why they think the answer would be positive or negative, depending on the location...
Curated OER
Ordering Rational Numbers and Finding Their Approximate
Middle schoolers explore the concept of ordering rational numbers on a number line. They represent rational numbers as decimals and percents. Pupils create a foldable about converting fractions to decimals to percents, and use a...
Curated OER
The Number Line
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...
Curated OER
Locating Rational Numbers on the Number Line
Students explore the concept of locating rational numbers on a number line. In this rational numbers activity, students change improper fractions to mixed numbers to determine where on a number line the rational number belongs. Students...
Virginia Department of Education
Give or Take a Few
Young mathematicians extend their knowledge of rational numbers on a number line to graph inequalities by first using number cards to compare rational numbers. They finish by using similar reasoning to graph inequalities on a number line.
Curated OER
Number Line
Explore how to make a number line and how to mark the numbers along the number line using fraction and decimal notation. Your scholars will compare and order fractions and decimals and find their appropriate position on the number line.
EngageNY
Comparing Integers and Other Rational Numbers
The ninth installment of a 21-part module has pupils compare integers and rational numbers in decimal and fraction form. They match stories to number lines and compare values in the stories.
Illustrative Mathematics
Jumping Flea
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...
Virginia Department of Education
Rational Speed Matching
Ready, set, go! Individuals practice converting rational numbers between fractions, decimals, and percents. A speed game has teams match the three forms of rational numbers on a number line.
Willow Tree
Rational vs. Irrational Numbers
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...
EngageNY
Infinite Decimals
Can you support the argument that the decimal 0.99999 ... is equivalent to the number one? The seventh installment in this 25-part module gives convincing support for this conclusion. Pupils write infinite decimals using powers of 10....
EngageNY
Rational and Irrational Numbers
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...
Curated OER
Whole Numbers
A game is a great way to learn. Study what makes an integers, their traits, and characteristics. This lesson includes 3 separate activities intended to promote an understanding of integers, whole numbers, and opposites. The class is...
EngageNY
The Decimal Expansion of Some Irrational Numbers
Develop a definition of irrational numbers through an exploration of square roots. The 11th lesson in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and further...
Virginia Department of Education
Absolute Value
Your birthday can be more than just about presents; it can even teach about absolute value. The class investigates absolute value as the distance from zero on a number line. Plotting birth months and comparing each birth month to July...
Curated OER
Comparing Negative Fractions, Mixed Numbers and Decimal
Seventh graders explore the concept of negative rational numbers. In this negative rational numbers lesson, 7th graders discuss similarities between positive and negative rational numbers. Students predict what rational numbers lie...
Curated OER
Fraction and Decimal Ordering
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...
Utah Education Network (UEN)
Representing, Identifying, and Comparing Integers
This resource will knock your "sox" off! It comes with so many worksheets, projects, and other attachments that help you prepare your mathematicians to see positive and negative integers in the real world, including the White Sox stadium...
Utah Education Network (UEN)
Integers on a Coordinate Plane
Boogie fever! Explore the concept of integers on coordinate plane. In this integers on a coordinate plane lesson, young scholars graph rational numbers on the coordinate plane and identify coordinates of a point. Students perform a line...
Curated OER
Smaller Than One
Sixth graders practice converting a fraction into a decimal and a percent. They explain relationships among rational numbers. They order and compare whole numbers, fractions (including mixed numbers), and decimals using a variety of...
Curated OER
Numbers, Numbers Everywhere!
Explore properties of integers! In this algebra lesson, pupils add, subtract, divide and multiply using integers correctly. They differentiate between rational and irrational numbers.
Curated OER
Fractions, Decimals and Percents
Students investigate the differences when using decimals, fractions, and percents. They focus on the process of using them in real problems and how to convert them from one form to another.
Louisiana Department of Education
Fractions, Decimals, and Percents
Fractions, decimals, and percents all say the same thing! Show your classes how to convert between the three forms using visual and numeric representations. Then lead them to an understanding of scientific notation.