CCSS.Math.Content.4.NF.B.3d
The standard
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.
Common Core State Standards for Mathematics
What this standard means
Students need to solve story problems where fractions have the same denominator and refer to the same whole. They should decide whether to add or subtract, write an equation, and use a fraction model such as a bar, number line, or area model to show the thinking.
Mastery looks like choosing the right operation without relying on keywords, keeping the denominator the same, and explaining the answer in the context of the problem. Students often add or subtract denominators, mix up the whole, or draw models that do not match the story.
Ways to teach it
- Hands-on activity: Give students fraction strips and story cards, then have them build each situation and write the matching equation.
- Discussion or writing prompt: Ask, "How do you know whether to add or subtract in this fraction story?" and require a model in the response.
- Quick assessment: Show one word problem with fourths and ask students to draw a bar model, write an equation, and answer in one sentence.
- Real-world connection: Use a recipe with eighths of a cup and ask students how much ingredient was used or how much is left.
Plan a lesson for CCSS.Math.Content.4.NF.B.3d
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Related standards
- CCSS.Math.Content.5.NF.A.2
Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual f...
- CCSS.Math.Content.6.NS.A.1
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and eq...
- CCSS.Math.Content.4.NF.B.4c
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.
- CCSS.Math.Content.5.NF.B.6
Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.