Noyce Foundation
Fractured Numbers
Don't use use a fraction of the resource — use it all! Scholars attempt a set of five problem-of-the-month challenges on fractions. Levels A and B focus on creating fractions and equivalent fractions, while Levels C, D, and E touch on...
Noyce Foundation
Diminishing Return
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.
EngageNY
Mid-Module Assessment Task: Grade 8 Module 7
Assess pupil understanding of rational and irrational numbers with a mid-module assessment that is the 15th lesson in the 25-part series. The questions represent the objectives in the first half of the series. Topics include decimal...
EngageNY
Converting Repeating Decimals to Fractions
Develop a process with your classes for converting repeating decimals to fractions. Through this process, pupils understand that any repeating decimal can be written as a fraction. The 10th lesson plan in this 25-part module helps...
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
Mid-Module Assessment Task: Grade 7 Module 2
A seven-question assessment determines how well your learners understand the procedures to add, subtract, multiply, and divide signed rational numbers. Pupils show their understanding through problem-solving situations.
EngageNY
Decimal Expansions of Fractions, Part 2
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize fractional...
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...
EngageNY
Decimal Expansions of Fractions, Part 1
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...
EngageNY
The Long Division Algorithm
Two methods are always better than one! The eighth installment in this series asks pupils to convert decimals to fractions using two approaches. Individuals first use the more traditional approach of long division and then use reverse...
EngageNY
Finite and Infinite Decimals
Explore the patterns of fractions that produce finite and infinite decimals. The sixth lesson of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns, pupils create...
Noyce Foundation
Cereal
Find the best protein-packed cereal. The short assessment task covers equivalent and comparing ratios within a context. Pupils determine the cereal with the highest ratio of protein. A rubric helps teachers with point allotments for...
Noyce Foundation
Percent Cards
Explore different representations of numbers. Scholars convert between fractions, decimals, and percents, and then use these conversions to plot the values on a horizontal number line.
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...
Mathematics Assessment Project
A Day Out
An applicable task presents a problem for pupils to solve: where to go for a class field trip. The pupils must take into consideration the first and second choices of members of the class when determining where to go. Individuals also...
Utah Education Network (UEN)
Operations with Rational Numbers
Add an engaging resource to your lessons on rational numbers and watch your pupils' understanding multiply. Learners determine rules for adding, subtracting, multiplying, and dividing integers. Individuals then extend these rules to all...
Utah Education Network (UEN)
Probability, Percent, Rational Number Equivalence
Start seventh grade with a bang with the first chapter of an eight-part seventh-grade workbook series that asks learners to work through problems involving simple probability, percents, and rational number equivalence.
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...
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...
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
Converting Fractions and Decimals
A decimal is just a fraction in disguise! Scholars learn methods for converting decimals and fractions including repeating decimals. Performing the conversions strengthens their understanding of the relationship between the two forms....
Charleston School District
Identifying Irrational Numbers
These numbers have some personality! Are they rational or irrational? The lesson examines the definitions of rational and irrational numbers and shows examples of how to identify them.
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...
Houghton Mifflin Harcourt
Unit 8 Math Vocabulary Cards (Grade 6)
Additive inverse, expression, and irrational numbers are a few terms you'll find when you use a set of 22 flashcards designed to reinforce math vocabulary. The set includes two types of cards; a bold-faced word card, and a corresponding...