Curriculum / Math / 4th Grade / Unit 6: Decimal Fractions / Lesson 4
Math
Unit 6
4th Grade
Lesson 4 of 13
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Lesson Notes
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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.
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.
3.NF.A.2 — Understand a fraction as a number on the number line; represent fractions on a number line diagram.
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
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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
Complete the following table. Draw models for each row if they will help you.
$$1\times1+5\times0.1+7\times0.01$$
$$(5\times 1)+\left(0 \times \frac{1}{10} \right) + \left(3\times\frac{1}{100}\right)$$
$$98.30$$
$$623 \frac{46}{100}$$
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Use the following numbers to answer each of the following questions:
a. What is the value of the digit 1 in (i)? The digit 5?
b. What is the value of the digit 3 in (ii), (iii), and (iv) above? How are those values related to one another?
c. What is the value of the digit in the hundreds place in (iv)? What is the value of the digit in the hundredths place in (iv)? How are these similar? How are they different?
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
Use the number below to answer the following questions.
268.39
a. What digit is in the hundreds place? What is its value?
b. What digit is in the tens place? What is its value?
c. What digit is in the ones place? What is its value?
d. What digit is in the tenths place? What is its value?
e. What digit is in the hundredths place? What is its value?
Complete the following chart.
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.
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Regroup decimal numbers with more than 9 tenths or 9 hundredths into simplest unit form and vice versa.
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
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.
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