EngageNY
The Decimal Expansion of Some Irrational Numbers
Develop a definition of irrational numbers through an exploration of square roots. The 11th activity in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and...
Illustrative Mathematics
Reasoning about Multiplication and Division and Place Value, Part 2
The learner puts reasoning and estimation to work. The directions are to place a decimal in the answer to make the equation true. Pupils are to look at the two problems, one multiplication and one division, and estimate an answer. No...
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...
EngageNY
Fraction Multiplication and the Products of Decimals
Class members come up with a hypothesis on the number of decimal digits in the product of two decimals. Learners work in groups to complete several decimal multiplication problems. The results help groups develop a conjecture on the...
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....
Curated OER
Renting an Apartment
Students complete math problems. In this decimals lesson, students practice decimal multiplication and discuss decimal placement. Students complete more practice problems and have other students check their answers. Students complete a...
Curated OER
Decimal Notation for Pennies and Dimes
Second graders write money in decimal form. In this money activity, 2nd graders discuss the value of coins and find the placement of the decimal in writing the amount. They find the fractional parts of coins in a dollar.
Curated OER
Dividing Whole Numbers by the Power of Ten
Knowing how to properly place the decimal point when dividing by powers of ten is an important skill. Here is a lesson plan which should give your learners a good understanding of this technique. One nice thing about the lesson plan is...
Curated OER
Using a Number Line: 5th Grade Math
Working in groups, the class will use what they know about whole number operations to solve a real-world problem involving a number line. They will focus on using the number line to correctly label the placement of whole numbers,...
Bowland
Explorers – Patrol Services
Far out — plan a trip to space! Aspiring mathematicians steer a space vehicle through an asteroid field, calculate currency exchanges to buy provisions, and determine placement of charges to blow up asteroids. Along the way, they learn...
Curated OER
Let Us Go Shopping!
Third graders add merchandise up to find total cost and line up numbers correctly to the decimal point.
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.
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...
Curated OER
Dream Home Mathematics
Explore the concept of budgeting with sixth graders. They will pick a career on note card made by the teacher. They then use the information on the card such as salary, expenses, and career to create a life for themselves. They also...
EngageNY
The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions
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...
EngageNY
The Division Algorithm—Converting Decimal Division into Whole Number Division Using Mental Math
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...
EngageNY
Exponents
Powered up! Here's a great resource on exponents. Scholars build on their previous understanding of exponents to include all positive real number bases. Distinguishing between an and a^n is a major goal in the fifth lesson of a 36-part...
Curated OER
Drop it or not?
Students explore fractions. In this fraction instructional activity, students play an interactive game and use manipulatives to practice working with fractions.
West Contra Costa Unified School District
The Power of Ten: Building a Magnitude Model
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.
Curated OER
Operations with Decimals
Help your learners get practice with operations involving decimals. They will follow prescribed steps that require them to use mixed operations to solve problems with decimals. Great for practice after pupils have had comprehensive...
Curated OER
Making Cents of Fractions and Decimals
Students explore decimals and fractions using groups of 100 pennies. By classifying the pennies in different ways, there are an unlimited number of ways to learn fractions, decimals, and place value in money. This is a good, hands-on...
Curated OER
Slope Fields
Students create and analyze slope fields. In this calculus lesson, students create a visual of differential equations. They use the Ti Navigator to create slope fields.
Curated OER
Integers
Using a simple technique, learners practice identifying integers on a number line. As numbers, both positive and negative, are pointed to, they name them. This could be part of anticipatory set before a lesson on integers.
Curated OER
Money Matters
Third graders make fair trades and exchanges of their money in order to have practical experiences with the essential "rules" of our place value system. They create groupings of tens, hundreds, thousands using play money and place value...