Curriculum / Math / 4th Grade / Unit 6: Decimal Fractions / Lesson 6
Math
Unit 6
4th Grade
Lesson 6 of 13
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Lesson Notes
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Locate decimals on a number line and explain their placement.
The core standards covered in this lesson
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
3.NF.A.2 — Understand a fraction as a number on the number line; represent fractions on a number line diagram.
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. Label each tick mark on the number line with the number it represents.
b. Here are eight numbers.
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Illustrative Math Grade 4 Unit 4 Lesson 3, accessed on July 24, 2023, 10:42 a.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.
Determine the location of the points Q and T on the number line below.
Math Item Specifications - Claim 1, Grade 4 (G4_1H_NF_Spec_v4) from Development and Design: Item and Task Specifications made available by Smarter Balanced Assessment Consortium. © The Regents of the University of California – Smarter Balanced Assessment Consortium. Accessed June 1, 2018, 2:32 p.m..
Here is a number line with two points on it.
a. Name the decimal located at point A.
b. Is the decimal at point A less than or greater than 0.50? Explain or show your reasoning.
c. Is the decimal point at point B greater or less than 0.06? Explain your reasoning.
d. Estimate the decimal at point B.
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. Plot the point $${{{76\over100}}}$$ on the number line below. Make sure to label the endpoints.
b. What is $$\frac{76}{100}$$ written as a decimal?
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
Compare two decimals, recording the result of a comparison with the symbol >, =, or <, and justify the conclusion.
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
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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