Curriculum / Math / 4th Grade / Unit 6: Decimal Fractions / Lesson 5
Math
Unit 6
4th Grade
Lesson 5 of 13
Jump To
Regroup decimal numbers with more than 9 tenths or 9 hundredths into simplest unit form and vice versa.
The core standards covered in this lesson
4.NF.C.5 — Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. But addition and subtraction with unlike denominators in general is not a requirement at this grade. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
4.NF.C.6 — Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.
The foundational standards covered in this lesson
4.NBT.A.2 — Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
4.NF.A.1 — Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.
Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
A dime is $${{1\over10}}$$ of a dollar and a penny is $${{1\over100}}$$ of a dollar.
Would you rather have 4 one-dollar bills and 1 dime, 42 dimes, or 413 pennies? Justify your answer.
a. Decide whether each of these has the same value as 3.57. Explain your reasoning.
b. Find as many ways as you can to make $$2 \frac{4}{10}$$ using ones, tenths, and hundredths. If you think you have found all the ways, explain how you know your list is complete.
a. What number represents the same amount as 1 one 70 hundredths?
b. What number represents the same amount as 40 tenths 9 hundredths?
c. What number represents the same amount as 268 hundredths?
d. What number represents the same amount as 2 ones 14 tenths?
e. What number represents the same amount as 3 ones 16 tenths 25 hundredths?
Problem Set
Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
Fill in the blanks below to make the following statements true.
a. 5 ones 7 tenths = ________ tenths = ________ hundredths
b. 4 ones 3 tenths 8 hundredths = ________ tenths ________ hundredths = ________ hundredths
c. 260 hundredths = ________ tenths = ________ ones ________ tenths
d. 901 hundredths = ________ tenths ________ hundredths = ________ ones ________ tenths ________ hundredths
Write each of the values from #1 in decimal form below.
a. 5 ones 7 tenths
b. 4 ones 3 tenths 8 hundredths
c. 260 hundredths
d. 901 hundredths
The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.
Extra Practice Problems
Answer keys for Problem Sets and Extra Practice Problems are available with a Fishtank Plus subscription.
Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
Lesson 4
Lesson 6
Topic A: Understanding Tenths
Represent decimals to tenths less than or equal to one with area models. Write a decimal value in fraction, decimal, and unit form.
4.NF.C.6
Represent decimals to tenths greater than one with pictorial base ten blocks. Write a decimal value in fraction, decimal, unit, and fraction and decimal expanded form.
Create a free account to access thousands of lesson plans.
Already have an account? Sign In
Topic B: Understanding Tenths and Hundredths
Represent decimals to hundredths less than one, understanding the equivalence of some number of tenths and ten times as many hundredths. Write a decimal value in fraction, decimal, and unit form.
4.NF.C.5 4.NF.C.6
Represent decimals to hundredths more than one. Write a decimal value in fraction, decimal, unit, and decimal and fraction expanded form for some number to hundredths.
Topic C: Decimal Comparison
Locate decimals on a number line and explain their placement.
Compare two decimals, recording the result of a comparison with the symbol >, =, or <, and justify the conclusion.
4.NF.C.7
Compare two or more decimals written in various forms.
Topic D: Decimal Addition
Add tenths with hundredths written as decimal fractions.
4.NF.C.5
Add tenths with hundredths written as decimals.
Solve word problems involving the addition of decimals and decimal fractions.
Topic E: Money as a Decimal Amount
Find the value of some combination of dollar bills and coins.
4.MD.A.2
Solve word problems involving money.
See all of the features of Fishtank in action and begin the conversation about adoption.
Learn more about Fishtank Learning School Adoption.
Yes
No
Access rigorous, relevant, and adaptable math lesson plans for free