Curriculum / Math / 4th Grade / Unit 6: Decimal Fractions / Lesson 11
Math
Unit 6
4th Grade
Lesson 11 of 13
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Lesson Notes
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Solve word problems involving the addition of decimals and decimal fractions.
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
Suggestions for teachers to help them teach this lesson
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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
Act 1: Look at the following image -
a. What do you notice? What do you wonder?
b. What is the new world record? Make an estimate.
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Act 2: Use the following information to determine what the new world record is.
Mens 4×100m Relay Splits
Act 3: See the solution shown in the original news article.
Was your estimate reasonable? Why or why not?
Act 4 (the sequel): This new world record was 0.19 faster than the previous world record, also set by the same Jamaican relay team but in 2011. What was the previous world record? Write your answer as a decimal.
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
Solve. Show or explain your work.
Jay has $${{29\over100}}$$ L of oil. He buys another $${1{5\over10}}$$ L. He still needs $${{71\over100}}$$ L to deep fry clams. How much oil does Jay need to make fried clams?
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
Find the value of some combination of dollar bills and coins.
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
Add tenths with hundredths written as decimals.
Topic E: Money as a Decimal Amount
4.MD.A.2
Solve word problems involving money.
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