Illustrative Mathematics
Dimes and Pennies
Help your fourth graders make cents out of fractions and decimals with this short word problem. After learning that dimes are one-tenth and pennies one-hundredth of a dollar, students write a fraction and decimal for a given number of...
EngageNY
Grade 5 Math Module 1, Topic B, Lesson 5
There is more than one way to write a number. The lesson plan provides teachers with a way to teach reading and writing decimals to thousandths using standard, expanded, and unit forms. Pupils work through in-class and homework...
EngageNY
Grade 5 Math Module 1, Topic D, Lesson 9
Introduces addition of decimals by using unit notation to represent the problem. Pupils use a place value chart to decompose the numbers and then add before connecting to the standard algorithm.
EngageNY
Grade 5 Math Module 1, Topic D, Lesson 10
Take a little bit away. The 10th section of an 18-part unit introduces subtraction of decimals. Scholars use a place value chart like they did with addition of decimals to organize and represent the problem. After using the place value...
National Math + Science Initative
Introduction to Decimals
Three activities make up an introductory lesson designed to create a strong foundation in comparing fractions to decimals and exploring and building decimal models. Pupils brainstorm and complete a Venn diagram to show how decimals 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...
EngageNY
Grade 5 Math Module 1, Topic A, Lesson 1
Extend the place value system. The first lesson plan in a series of 18 extends the place value system to millions through thousandths. Using place value charts, pupils see how the value of a digit changes as it moves places. Teachers use...
EngageNY
Grade 5 Math Module 1, Topic A, Lesson 2
What are the place value patterns? An informative lesson plan helps scholars build upon their knowledge of place value to see patterns when multiplying and dividing by powers of 10. Classmates begin the second installment by reviewing...
EngageNY
Grade 5 Math Module 1, Topic B, Lesson 6
Which is bigger? The sixth installment in an 18-part series covering decimals provides a lesson on comparing decimals to the thousandths. Teachers use place value to help class members compare and order decimals. Instruction encourages...
EngageNY
Grade 5 Math Module 1, Topic A, Lesson 3
The activity introduces exponents as a way to write powers of 10 and to associate those powers with place value. Pupils practice writing powers of 10 with exponents along with multiplying numbers by powers of 10. The resource is the...
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.
EngageNY
Grade 5 Math Module 1, Topic E, Lesson 11
Let your understanding of multiplying decimals flourish and multiply. After briefly reviewing place value concepts and how to add and subtract decimals, scholars learn to multiply a decimal fraction (like 0.6) by a whole number. They use...
EngageNY
Grade 5 Math Module 1, Topic F, Lesson 14
Be sure to place value on place value understanding. Young mathematicians learn to divide decimals by whole numbers when compatible numbers are not available. They use place value discs in place value charts, then connect this strategy...
EngageNY
Grade 5 Math Module 1, Topic F, Lesson 13
After completing a fluency practice set on subtracting, multiplying, and comparing decimals, pupils begin learning about dividing decimals by whole numbers. They see how to use place value reasoning to find compatible numbers for...
College of William and Mary
Decimal Operations Using Base 10 Blocks
Let's get this block party started and learn about decimals! Here are four main lessons that teach the operations with decimals while using base 10 blocks to provide a hands-on learning approach. Supplemental worksheets and other...
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
Grade 5 Math Module 1, Topic E, Lesson 12
Continuing from the previous instructional activity, scholars work on mastering the skill of multiplying decimal fractions by a whole number. The method employed in the instructional activity is to convert the decimal fraction to its...
Curated OER
Reading and Writing Decimals
Decimals are quite often confusing for young mathematicians. Pupils engage in three activities: writing decimal names, understanding place value, and comparing decimals to thousandths. At the end of the lesson, there is a motivating game...
Fraction Bars
Subtraction of Decimals
Here is a fabulous lesson on subtracting decimals with different numbers of decimal places. There are teacher-led activities for learners to engage in, including, modeling decimal subtraction through decimal squares, looking at place...
EngageNY
Grade 5 Math Module 1, Topic C, Lesson 8
Go another round on rounding. Pupils refine their learned rounding skills in the eighth installment in an 18-part unit on decimals. The lesson takes away some of the previous scaffolding to encourage scholars to use the procedures that...
Curated OER
Confusing Fractions and Decimals
Eight number lines are given, and math scholars need to place the given decimal numbers on the fraction line as accurately as possible. Each number line shows a different span of numbers. Consider having learners go through it the first...
Curated OER
Questioning NASA
Space science and math collide in this inquiry that investigates launching times for antacid-tablet rockets! Upper elementary or middle school learners collect data as they launch these mini rockets. They apply concepts of place value...
EngageNY
Grade 5 Math Module 1, Topic C, Lesson 7
Step up or step down to rounding. Using a vertical number line, the instructional activity shows pupils the significance of rounding up or rounding down. Teachers encourage scholars to write the number in unit form and decide which form...
EngageNY
Grade 5 Math Module 1, Topic F, Lesson 15
Remainders don't need to remain a mystery. The 16th of 18 parts in Grade 5 Math Module 1 continues the study of dividing decimals by a whole number. Scholars see how to rename the remainder to a smaller unit, such as when dividing 1.7 or...
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