Curriculum / Math / 4th Grade / Unit 5: Fraction Operations / Lesson 13
Math
Unit 5
4th Grade
Lesson 13 of 21
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Lesson Notes
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Subtract fractions and mixed numbers where the total is greater than or equal to 2.
The core standards covered in this lesson
4.NF.B.3.C — Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
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
Estimate the following differences. Then solve.
a. $$2\frac45 - \frac15$$
b. $$4\frac36-\frac36$$
c. $$3\frac23-1\frac13$$
d. $$4\frac34-2\frac14$$
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a. Here are three ways to solve $$4-3\frac16$$:
$$\begin{align} 4-3\frac{1}{6} &=1-\frac{1}{6} \\ &=\frac{5}{6} \end{align}$$
$$\begin{align} 4-3\frac{1}{6} &= \frac{24}{6}-\frac{19}{6} \\ &=\frac{5}{6}\end{align}$$
$$\begin{align} 4-3\frac{1}{6}&=3\frac{6}{6}-3\frac{1}{6} \\ &= \frac{5}{6} \end{align}$$
Explain how each strategy works.
b. Use any strategy to compute the following:
a. $$8\frac38 - \frac68$$
b. $$6\frac4{10} - 2\frac7{10}$$
c. $$11\frac3{12}-9\frac{11}{12}$$
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
What is the value of $$10\frac16-\frac56$$? Select the two correct answers.
Solve. Show or explain your work.
a. $$6\frac9{10}-3\frac7{10}$$
b. $$8\frac15-2\frac35$$
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
Add and subtract mixed numbers using a variety of mental strategies.
Topic A: Building, Adding, and Subtracting Fractions Less Than or Equal to 1
Decompose fractions as a sum of unit fractions and as a multiple of a unit fraction.
Standards
4.NF.B.3.B4.NF.B.4.A
Decompose fractions as a sum of fractions with the same denominator in more than one way.
Add and subtract fractions within 1 with the same units.
4.NF.B.3.A4.NF.B.3.C
Solve word problems that involve the addition and subtraction of fractions where the total is less than or equal to one.
4.NF.B.3.D
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Topic B: Building, Adding, and Subtracting Fractions Less Than 2
Decompose non-unit fractions less than 2 as a sum of unit fractions, as a sum of non-unit fractions, and as a whole number times a unit fraction.
Add and subtract fractions that require regrouping where the total is less than 2.
Add two fractions where one denominator is a multiple of the other using the denominators 2, 3, 4, 5, 6, 8, 10, and 12.
Topic C: Building, Adding, and Subtracting Fractions Greater Than or Equal to 2
Decompose and compose non-unit fractions greater than two as a sum of unit fractions, as a sum of non-unit fractions, and as a whole number times a unit fraction.
4.NF.B.3.B
Convert fractions greater than 1 to mixed numbers.
4.NF.B.3.B4.NF.B.3.C
Convert mixed numbers to fractions greater than 1.
Compare and order fractions greater than 1 using various methods.
4.NF.B.3.C
Add fractions and mixed numbers where the total is greater than or equal to 2.
Solve word problems involving addition and subtraction of fractions.
Topic D: Multiplication of Fractions
Multiply a whole number by a fraction.
4.NF.B.4.B
Multiply a whole number by a mixed number.
Solve word problems involving multiplication of fractions.
4.NF.B.4.C
Solve word problems involving addition, subtraction, and multiplication of fractions.
4.NF.B.3.D4.NF.B.4.C
Topic E: Line Plots
Make a line plot (dot plot) representation to display a data set of measurements in fractions of a unit.
4.MD.B.4
Solve problems using information presented in line plots.
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