Illustrative Mathematics
Irrational Numbers on the Number Line
There are four irrational numbers that participants need to graph. Pi(π), -(½ x π), and √17 are easy to approximate with common rational numbers. On the other hand, the commentary describing the irrational number 2√2 is not clear. It...
Curated OER
Is Bigger Always Better?
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...
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...
University of Utah
Rational and Irrational Numbers
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...
Curated OER
Lesson 2 Ordering Numbers
Math wizards begin the lesson by comparing and ordering rational numbers. Using a number line, they discover the relationship between the numbers and practice ordering them in the correct way. They also review proper techniques for...
Curated OER
Study Guide: Rational Numbers
In this rational numbers worksheet, students solve and complete 8 different problems that include applying the comparison property and density property for rational numbers. First, they replace each blank with the correct symbol to make...
Curated OER
Rounding and Subtracting
Common Core is all about getting your learners to open their minds and think about the why and how. This problem has them thinking about unknown numbers and their relationship with one another when we round and subtract. They will have...
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
Chapter 2 Review: Prime Factorization
In this prime factorization worksheet, learners find the prime factorization of numbers by using a factor tree. They compare fractions and identify equivalent fractions, and find the greatest common factor, order numbers, and convert...
Curated OER
Add Positive And Negative Numbers
Scholars investigate the concept of adding positive and negative numbers. They practice adding using the number line for scaffolding. This can be done as a game for younger learners, but may also be helpful for engaging the older pupils.
Curated OER
Comparing Numbers
In this comparing worksheet, students compare decimals and percents. They identify the largest and smallest number in a dequence. This one-page worksheet contains 10 multiple-choice problems. Answers are provided.
Curated OER
Ordering Numbers
In this comparing numbers worksheet, students solve 10 problems in which numbers are put in order according to directions. Included are decimal numbers, fractions, and exponents.
Charleston School District
Comparing and Ordering Irrational Numbers on a Number Line
Estimating the value of numbers is much harder than it sounds! Scholars compare and order the value of numbers presented in different forms including fractions, decimals, roots, integers, and pi. This builds on the previous lessons in...
Charleston School District
Review Unit 7: Real Numbers
Provide pupils with problems to check their understanding of the concepts within the unit. The seven-part series of lessons covers concepts related to irrational numbers. Learners convert between fractions and decimals, estimate the...
Charleston School District
Pre-Test Unit 7: Real Numbers
Don't be irrational! Use this pre-test to assess your classes' ability to work with all types of real numbers. The lesson asks learners to estimate value, evaluate roots, and order numbers. This begins a series of lessons on the real...
Mathematics Assessment Project
Using Positive and Negative Numbers in Context
Measure the temperature of your math class with a temperature-based instructional activity on adding and subtracting rational numbers. The thermometer serves as a vertical number line for learners as they work together to solve a...
Ohio Department of Education
Writing and Comparing Numbers in Scientific Notation-Grade Eight
Explore scientific notation in this mathematics lesson. Young mathematicians explore multiple representations of large number in scientific notation through the use of models, visual representation and expanded form. The lesson provided...
Curated OER
Whole Numbers
Student are assigned one of the sections on whole numbers. After reviewing the content, they teach their assigned sections to other class mates. They publish their findings on a PowerPoint slide show to use when they teach their section.
Curated OER
Mat 0024 Section 1.4: Signed Numbers and Decimals
This activity has a little of everything. Compare fractions, determine if numbers are less than, greater than, or equal to. Then practice lining up the decimals to add and subtract decimal numbers. Then multiply decimals remembering to...
Curated OER
Comparing Costs
Students compare the costs of two cellular phone plans and determine the best rate. They use a table and a graph of points plotted on a Cartesian plane to display their findings. Students write an equation containing variables that could...
Curated OER
Prime Factorization
In this prime factorization activity, middle schoolers solve 7 multiple choice problems. Students find the prime factorization of 91, 84, 78, 70, 67,63, and 36.
Curated OER
Rational Numbers
In this rational numbers learning exercise, students solve and complete 15 different problems that include comparing and ordering various rational numbers. First, they fill in each blank with the correct symbol to make the sentence true....
Curated OER
Real Numbers in the Real World
Delve into the concept of operating on the set of real numbers! In this operating with the set of real numbers lesson, pupils perform order of operations on the set of real numbers using a calculator.
Curated OER
Lesson 3: Number Sense
Learners solve word problems using number sense. They convert fractions to decimals and mixed numbers. Pupils determine if a given fraction is greater or less than another fraction, and order numbers on a number line.