Lesson Plan
Willow Tree

Rational vs. Irrational Numbers

For Students 7th - 10th Standards
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...
Lesson Plan
Illustrative Mathematics

Converting Decimal Representations of Rational Numbers to Fraction Representations

For Teachers 7th - 9th Standards
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of...
Lesson Plan
Curated OER

Whole Numbers, Fractions, and Decimals

For Teachers 5th - 7th
Elementary and middle schoolers participate in an assignment to explore the concept of division and having a remainder. They also practice division problems using decimals and fractions without a remainder.
Lesson Plan
EngageNY

The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions

For Students 6th Standards
Knowing the standard algorithm opens up a whole new world of division. Scholars learn how to convert division involving decimals to division involving whole numbers to use the standard algorithm. Knowing how to multiply with powers of...
Lesson Plan
Curated OER

Unlocking the Secrets of Math: Simple Steps to Becoming a Better Mathematician

For Teachers 6th
Help your students remember math tricks and rules. Review working with positive and negative numbers, decimals, and the order of operations in this engaging presentation.
Lesson Plan
EngageNY

The Long Division Algorithm

For Students 8th Standards
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...
Lesson Plan
EngageNY

Decimal Expansions of Fractions, Part 2

For Students 8th Standards
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...
Lesson Plan
EngageNY

Converting Rational Numbers to Decimals Using Long Division

For Teachers 7th Standards
Convert fractions that cannot be written with a denominator that is a power of 10. Pupils use the definition of a fraction and long division to convert fractions to decimals, then discover that some divisions terminate and others...
Lesson Plan
Curated OER

Problem Solvers

For Teachers 5th - 6th
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....
Lesson Plan
Curated OER

Multiplying and Dividing Decimals

For Teachers 5th - 6th
Division with decimals is explained using prior knowledge of powers of 10 and how to convert both sides of a division problem using this knowledge. The class works together through reading and setting up an equation for a word problem....
Lesson Plan
Curated OER

Fractions Forever!

For Teachers 5th - 8th
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...
Lesson Plan
Curated OER

Number: Whole Numbers and Decimals

For Teachers 4th - 6th
Young scholars explore whole numbers and decimals. In this decimal instructional activity, students discover how to perform multiplication with decimals as they complete a worksheet.
Lesson Plan
EngageNY

The Division Algorithm—Converting Decimal Division into Whole Number Division Using Mental Math

For Students 6th Standards
Make math much simpler with mental math methods. The 16th installment in a series of 21 looks at ways scholars can apply mental math to convert division problems into easier problems with the same quotient. Multiplying or dividing both...
Lesson Plan
Curated OER

Dividing Whole Numbers by the Power of Ten

For Teachers 5th Standards
Knowing how to properly place the decimal point when dividing by powers of ten is an important skill. Here is a instructional activity which should give your learners a good understanding of this technique. One nice thing about the...
Lesson Plan
Willow Tree

Percents

For Students 7th - 10th Standards
We see percents everywhere! Building a solid understanding of their meaning is important to future mathematics, but also as citizens. Young scholars practice rewriting decimals, percents, and fractions. They also determine percents of a...
Lesson Plan
West Contra Costa Unified School District

The Power of Ten: Building a Magnitude Model

For Teachers 4th - 5th Standards
Add visual representation to teaching place value with a magnitude model. Using adding machine tape, pupils build a linear place value strip from 1 to 100.
Lesson Plan
Curated OER

Lesson 3: Number Sense

For Teachers 6th - 10th
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.
Lesson Plan
Curated OER

Partial Quotient

For Teachers 5th - 7th
Students study what occurs in the division process, rather than just following prescribed steps. They expand number sense to include integers and perform operations with whole numbers, simple fractions, and decimals. They write a word...
Lesson Plan
Illustrative Mathematics

Buying Gas

For Teachers Pre-K - 7th Standards
A quick problem to test your middle schoolers' knowledge of dividing with decimals. Also a good practice of unit rates, they must compute the cost of one gallon of gas when given the total amount for a fill up. Can be used as a preface...
Lesson Plan
Curated OER

Place Value

For Teachers 3rd - 6th
Practice place value skills with this lesson. Learners put numbers in order from greatest to least, identify the values of particular numbers, and engage in an activity to compare numbers using manipulatives.
Lesson Plan
Curated OER

Pardon Me. Do You Have Change For a Dollar?

For Teachers 5th - 8th
Upper elementary and middle school learners explore currencies from a variety of countries. They use the Internet, video, and engage in hands-on activities. They practice converting U.S. currency to foreign currency and vice versa. This...
Lesson Plan
Curated OER

Naming Fractional Parts of a Whole

For Teachers 3rd Standards
Third graders complete a worksheet.  In 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.
Lesson Plan
Curated OER

Dividing Decimals

For Teachers 6th
In this mathematics worksheet, 6th graders find the quotient for each problem listed. Then thy explain their estimates, divide, and multiply to check their answers.
Lesson Plan
Curated OER

Multiplying Decimals and Mixed Numbers

For Teachers 6th - 8th
Students multiply decimals and/or mixed numbers. They explore the effects of multiplying decimals and mixed numbers. They practice estimating answers when a number is multiplied by a decimal or mixed number.