Curriculum / Math / 4th Grade / Unit 6: Decimal Fractions / Lesson 10
Math
Unit 6
4th Grade
Lesson 10 of 13
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Lesson Notes
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Add tenths with hundredths written as decimals.
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.
The foundational standards covered in this lesson
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.
4.NF.B.3 — Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
25-30 minutes
a. Solve.
b. What do you notice about Part (a)? What do you wonder?
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Add. Show or explain your work. Write your answer as a decimal.
a. 0.4 + 0.5
b. 0.29 + 0.8
c. 1.52 + 0.39
d. 3.5 + 2.87
Grade 4 Mathematics > Module 6 > Topic D > Lesson 13 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Each equation below is missing a decimal in tenths or hundredths. Find the decimal that makes each equation true.
a. 0.30 + ____ = 0.36
b. 0.40 + ____ = 0.90
c. ____ + 1.4 = 1.72
d. 1.10 + ____ = 1.5
e. 0.9 + ____ = 1.70
f. 0.28 + ____ = 1.78
Illustrative Math Grade 4 Unit 3 Lesson 17 Activity 2, accessed on July 15, 2023, 8:48 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Using the digits 1 to 9, at most one time each, make the following statement true.
Open Middle, “Addding Parts of a Whole” by is made available on Open Middle under the CC BY-NC-SA 4.0 license. Accessed July 15, 2023, 11:10 p.m..
15-20 minutes
Problem Set
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
a. 0.4 + 0.72
b. 5.67 + 9.8
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
Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
Next
Solve word problems involving the addition of decimals and decimal fractions.
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.
Standards
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.
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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.54.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.
Regroup decimal numbers with more than 9 tenths or 9 hundredths into simplest unit form and vice versa.
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
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.
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