CCSS.Math.Content.6.NS.A
Standard Cluster
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Common Core State Standards for Mathematics
Cluster contents
Standards in This Cluster
CCSS.Math.Content.6.NS.A is a cluster heading. These are the individual standards under it.
Teacher's field guide
What This Cluster Means
What Students Need to Do
- Students interpret and calculate quotients of fractions, including mixed numbers. They use models, equations, and multiplication by the reciprocal to explain their reasoning.
What Mastery Looks Like
- Students correctly solve fraction division problems and simplify their answers. They can use a visual model or context to explain why multiplying by the reciprocal works.
Common Misconceptions
- Students may invert the first fraction, invert both fractions, or multiply numerators and denominators without using the reciprocal. They may also assume division always makes a number smaller or mishandle mixed numbers.
How to Assess It
- Give this exit ticket: “A container holds 2/3 cup of smoothie. Each serving is 1/4 cup. How many servings are there? Draw a model and write an equation.”
Lesson moves
Ways to Teach It
Cut paper fraction strips to show how many 1/8 pieces fit in 3/4, then write the matching division equation.
Ask, “Why does dividing by 1/2 double a number?” Students explain with a drawing, equation, and two written sentences.
Play a matching game using cards with fraction division expressions, visual models, and simplified quotients.
Use recipe cards to calculate how many batches can be made when the available ingredient amount and amount per batch are fractions.
Free download
Printable 6.NS.A Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.6.NS.A, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- CCSS.Math.Content.5.NF.B.4
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
- CCSS.Math.Content.5.NF.B.7
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
- CCSS.Math.Content.4.NF.B.4
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
- CCSS.Math.Content.5.NF.B
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Turn this cluster into a lesson
Grade, subject, topic, and the complete cluster are prefilled. Create one free, no account needed.