Curriculum / Math / 4th Grade / Unit 4: Fraction Equivalence and Ordering / Lesson 7
Math
Unit 4
4th Grade
Lesson 7 of 15
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Lesson Notes
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Recognize and generate equivalent fractions with smaller units using area models.
The core 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.
The foundational standards covered in this lesson
3.NF.A.3 — Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
4.OA.A.1 — Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
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 garden is divided into rows of various vegetables. Three out of four rows are tomatoes.
a. Partition and shade the square below to show how much of the garden is tomatoes. Then write a fraction to represent how much of the garden is tomatoes.
b. The garden is going to be shared with family and friends so that each person’s share of the harvest is three-fourths tomatoes. How would you partition the garden if it’s shared by two people? Show on the model above.
c. What fraction of the newly divided garden is tomatoes? How is this fraction related to the one you wrote in Part (a)?
d. Go through the same process for the garden but now splitting it evenly for three and five people on the models below. What fraction of each newly divided garden is tomatoes?
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Van de Walle, John A. Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades 3-5 (Volume II). Pearson, 2nd edition, 2013.
Find two fractions that are equivalent to each of the following:
a. $${{1\over8}}$$
b. $${{10\over12}}$$
c. $${{4\over3}}$$
Solve for the missing value.
a. $${{2\over5}={10\over \square}}$$
b. $${{7\over6}={\square\over24}}$$
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
The model below is made up of equal-sized pieces.
Explain how you can use the model to show $${{{{9\over12}}}}$$. Then write a fraction that is equivalent to $${{{{9\over12}}}}$$.
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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Recognize and generate equivalent fractions with smaller units using multiples.
Topic A: Factors and Multiples
Identify multiples and determine if a whole number is a multiple of another number.
Standards
4.OA.B.4
Explore patterns in multiples of various whole numbers.
Find factor pairs for numbers to 100 and recognize that a whole number is a multiple of each of its factors.
Determine whether a given number is prime or composite.
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Topic B: Equivalent Fractions
Recognize and generate equivalent fractions with smaller units using tape diagrams.
4.NF.A.1
Recognize and generate equivalent fractions with smaller units using number lines.
Recognize and generate equivalent fractions with larger units using visual models.
Recognize and generate equivalent fractions with larger units using factors.
Topic C: Comparing and Ordering Fractions
Compare two fractions where one numerator or denominator is a factor of the other by replacing one fraction with an equivalent one.
4.NF.A.2
Compare two fractions by replacing both fractions with equivalent ones.
Compare two fractions using one whole as a benchmark.
Compare two fractions using one half as a benchmark.
Compare and order fractions using various strategies.
4.NF.A
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