True or False Equation Routine: Fourth Grade

Grade 4 / Math / Tch DIY
CCSS: Math.4.NF.B.3b Math.4.NF.B.4a Math.4.NF.B.4b

Common Core State Standards

Math

Math

4

Grade 4

NF

Number & Operations--Fractions

B

Build fractions from unit fractions

3b

Understand a fraction a/b with a > 1 as a sum of fractions 1/b.


a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.


b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.


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.


d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.


Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100.

Download Common Core State Standards (PDF 1.2 MB)

Common Core State Standards

Math

Math

4

Grade 4

NF

Number & Operations--Fractions

B

Build fractions from unit fractions

4a

Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.


a. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).


b. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)


c. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?


Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100.

Download Common Core State Standards (PDF 1.2 MB)

Common Core State Standards

Math

Math

4

Grade 4

NF

Number & Operations--Fractions

B

Build fractions from unit fractions

4b

Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.


a. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).


b. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)


c. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?


Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100.

Download Common Core State Standards (PDF 1.2 MB)



The "True or False" routine encourages students to think relationally about expressions using what they know about the meaning of the equal sign, operations, and their properties.

Tch visited Kristin's Gray's school. Watch the video.

Watch all the videos in this series.

Common Core Standards
Math.4.NF.B.3b, Math.4.NF.B.4a, Math.4.NF.B.4b

Supporting Materials

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  • Lesson Plan: True False Planning Guide.PDF

  • Student Work: True False Journals.PDF

  • Reflection and Resources.PDF

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