Curriculum Library
Grade 4 Unit 3: Adding/Subtracting Proper Fractions
Common Core
4.NF.3 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.
Georgia
MGSE4.NF.3 Understand a fraction a/b with a numerator > 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.
2. Given an addition equation of two fractions with common denominator and a number line with benchmark numbers, the student will select which benchmark number the sum is closest to with 80% accuracy for four out of five sessions.
3. Given three addition equations with common denominators, and a metacognitive strategy, the student will independently compare the sums of the equation using the appropriate sign (<, >, or =) with 80% accuracy for three consecutive sessions.
Lesson Sequences
Common Core
4.NF.3 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.
Georgia
MGSE4.NF.3 Understand a fraction a/b with a numerator > 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.
2. Given a set of 20 subtraction equations each with fractions with like denominators and the DRAW strategy, the student will apply the strategy and correctly solve for the answer with 80% accuracy for three consecutive sessions.
3. Given addition equations of two fractions with common denominators, the student will estimate the sums of each and use the symbols <, >, or = to show the relationship between the two equations for five out of six equations by completion of the first marking period.
4. Given a subtraction equation of two fractions with common denominators and a number line model with benchmark numbers, the student will select which benchmark number the fraction is closest to with 80% accuracy for four out of five sessions.
Lesson Sequences
Common Core
3.NF.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.
4.NF.3 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.
Georgia
MGSE3.NF.3 Explain equivalence of fractions through reasoning with visual fraction models. Compare fractions by reasoning about their size.c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 6/2 (3 wholes is equal to six halves); recognize that 3/1 = 3; locate 4/4 and 1 at the same point of a number line diagram.
MGSE4.NF.3 Understand a fraction a/b with a numerator > 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.
2. Given a subtraction equation of fractions with common denominators and either a missing minuend or subtrahend and the use of models, the student will accurately determine the missing number with 80% accuracy for three consecutive sessions.
3. Given a set of mixed addition and subtraction equations each with fractions with like denominators and missing parts, the student will accurately apply a pre-taught strategy to correctly identify the missing number with 80% accuracy for five consecutive sessions.
4. Given a set of mixed addition and subtraction equations each with fractions with like denominators, the student will estimate the answers of each and use the symbols <, >, or = to show the relationship between the equations in five out of six trials by completion of the first marking period.
Lesson Sequences
Common Core
3.NF.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.
4.NF.3 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.
Georgia
MGSE3.NF.3 Explain equivalence of fractions through reasoning with visual fraction models. Compare fractions by reasoning about their size.c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 6/2 (3 wholes is equal to six halves); recognize that 3/1 = 3; locate 4/4 and 1 at the same point of a number line diagram.
MGSE4.NF.3 Understand a fraction a/b with a numerator > 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.
2. Given a geometric area, the student will place pattern block pieces together to cover a the region and then identify fractional relationships found among pattern block shapes with 100% accuracy in three out of five examples.
3. Given a unitizing grid with the whole identified, the student will tell how many parts are in the whole, and determine and write the fractions represented by other colors with no more than two prompts for three consecutive sessions.
4. Given a set of mixed addition and subtraction equations each with fractions with like denominators and missing parts, the student will accurately apply a pre-taught strategy to correctly identify the missing parts with 80% accuracy for five consecutive sessions.
Lesson Sequences
This Big Idea focuses on addition and subtraction of fractions up to one whole using a variety of models. Students compare and estimate the relative size of fraction expressions and complete equations with unknowns using both models and numbers.
Common Core
3.NF.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.
4.NF.3 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.
Georgia
3.NF.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.
4.NF.3 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.