Rational Numbers Teacher Resources
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Intro to Adding/Subtracting Rational Numbers - 7.NS.1.b
How can you add two numbers and arrive at zero? Use negative integers! Assign each group a different problem to solve as a team. The lesson plan says to have them use Geometer's Sketchpad® to check their answers, but if you do not have this software, you could have the groups trade problems to correct each other's. In the end, you will use the problems to demonstrate how p+q is equal to |q| from p, thus meeting one of the seventh grade math Common Core standards. Note that this resource does not provide the answers to the assigned problems or a homework assignment even though it is suggested.
Students use exploration to develop the concepts of multiplication, division, power and roots. They explain the effect of each of these operations on whole and rational numbers.
Knowing mathematic terminology is vital for building a functional academic vocabulary. In this video, Sal defines number sets and the terms; natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. After defining each word, he considers 4 numbers and labels them according to the definitions he has established.
Discovering Math: Computation
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 expressions. Note: the associate video is only available via purchase, but the other activities hold enough value to support the lesson without it.
Number and Operation Sense: Rational Numbers
Students explore rational numbers. In this number sense lesson, students use calculators to collect data and identify patterns that illustrate the relationship between the rational number and division.
Numbers Lesson 3 - Hershey Bar Fractions
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 taking notes and examining how to add, subtract, multiply, and divide fractions.
Real Number System Graduated Bowl Activity
Eighth graders determine which numbers are rational numbers. In this number instructional activity students answer a series of questions related to natural and whole numbers as well as integers and rational numbers. Students work cooperatively in groups.
In this rational numbers activity, 9th graders solve 14 various types of problems relating to rational numbers that include simplifying each equation and reducing to lowest terms to using the order of operations to simplify equations. They also list the rational numbers given in ascending order and mark the location of each on a number line. Students then determine number of feet left at each end of a board that a painter used.
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 what was done and why it was done.
The Tortoise and the Hare
What's the pattern? That's the question learners pursue as they develop patterns using two or more rational number quantities. The teacher has them explore the sums of these quantities which will be an important conceptual foundation for helping them understand what "limit" means.
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 the algorithms applied to six computations and determine if they obtain the correct results.
Young mathematicians examine and discuss the concepts of integers, rational numbers, irrational numbers, and real numbers. They list examples of each term and order numerical examples.
Lesson 4-1 Multiplying Rational Numbers Problems
Pupils multiply rational numbers in five multiple choice problems, some positive and some negative. The solutions are available by clicking on the "Check It" button found on the bottom of the page, and if an individual is stuck on a problem, they can click a link for a hint! This brief assignment makes a good self-assessment tool.
New! Rewrite Problems with Rational Numbers Using Different Properties of Multiplication and Division
Practice with the associative and commutative properties together during this video supporting mental math. The narrator goes step by step through two problems showing how your learners can switch around the terms to solve easier. Problems incorporate fractions with multiplication and division. Use the prior videos for more practice with each property if needed.
Comparing Positive Fractions, Mixed Numbers & Decimals
Seventh graders explore the concept of fractions, mixed numbers, and decimals. For this fractions, mixed numbers, and decimals lesson, 7th graders compare different forms of rational numbers on a number line. Students order rational numbers that are in fraction form, mixed number form, and decimal form.
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 between -1 and -2. Students determine where negative rational numbers belong on the number line.
Babylonian Mathematics 2
Students research Babylonian mathematics. They calculate simple surd numbers. Students find the fractional form of rational numbers expressed as decimals. They work with numbers in base 60.
New! Subtract Rational Numbers Using an Algorithm
Subtracting negative numbers can be confusing and hard to comprehend. Show your learners the steps to solving these problems and patterns to help them remember. The video uses a pattern to show how subtracting a negative computes the same as adding. There is a large focus that subtracting a number is adding the opposite. This is the last video in a four-part series. Use the prior videos for real-life examples with subtracting negative numbers.
Students begin the lesson by completing a pre-assessment to determine where they are in regards to multiplication, division, square roots and powers. In groups, they work together to describe the effect of each operation on rational numbers.
Lesson 2 Ordering Numbers
Math wizards begin the lesson plan 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 rounding and adding demicals.