Grade 4 - Adding and Subtracting Fractions Unit
Standards covered:
- 4.3 Number and operations
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4.3A
Represent a fraction a/b as a sum of fractions 1/b, where a and b are whole numbers and b > 0, including when a > b.
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4.3B
Decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations.
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4.3E
Represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations.
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4.3F
Evaluate the reasonableness of sums and differences of fractions using benchmark fractions 0, 1/4, 1/2, 3/4, and 1, referring to the same whole.
The Adding and Subtracting Fractions Unit involves using a variety of methods to join or separate parts referring to the same whole. Methods may include replacing mixed numbers with equivalent fractions; using properties of operations and the relationship between addition and subtraction; and using visual models of fractions. Questions to answer may include:
- Why must we use the same “whole” when adding or subtracting fractional parts?
- How can a number line represent adding or subtracting fractions?
- How can benchmark fractions help to determine whether a sum or difference makes sense?
Summative Assessment Task
Students determine how many muffins can be shared equally with nine friends if each friend gets 1 1/3 muffins.
Students determine if Gavin has enough of a wooden board left over to use for another building project, after cutting off three pieces.
Instructional Tasks/Formative Assessments
Students determine how many friends Jane can make celery sticks with peanut butter for.
Students determine how many cups of popcorn kernels Mr. Morgan needs to pop to make popcorn for 50 students.
Students determine if Anita and Carl both have the same amount of pizza left to eat.
Students determine if two boys colored the same fraction of circles for their math project.
Students determine if Tessa has enough strong string to organize her recycling.
Students determine what fractional piece of a raspberry pie is left after four pieces are eaten.
Students determine the height of a magic beanstalk.
Students determine if Tom and his friends ate more brownies than are left in the pan.
The N/A classification refers to TEKS Standards that cannot be assessed through problem solving.
For this reason, tasks have not been included for these particular standards.
K.7A K.7B K.9B K.9C K.9D