Montana Math MT.4.NF.4
The Standard
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number by: Understanding a fraction a/b as a multiple of 1/b and recording the conclusion by the equation a/b = a × 1/b, Understanding a multiple of a/b as a multiple of 1/b, using this to multiply a fraction by a whole number and recognizing n × a/b = (n × a)/b, and Solving problems in context involving multiplication of a fraction by a whole number. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities.
2026 Montana Mathematics Content Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students show a fraction as copies of a unit fraction, such as 3/4 as three fourths. They multiply a fraction by a whole number by counting those pieces, then use a drawing and equation to solve a word problem.
What Mastery Looks Like
- Given 3 × 2/5, a student draws three groups of two fifths and counts six fifths. They write 3 × 2/5 = 6/5 = 1 1/5 and explain why the denominator stays 5.
Common Misconceptions
- Some students multiply both the numerator and denominator by the whole number. Others treat 3 × 2/5 as 3 + 2/5 or think the denominator changes when the answer is greater than one.
How to Assess It
- Exit ticket: Four garden plots each need 2/3 bag of soil. How many bags are needed? Draw thirds, write an equation, and explain your answer.
Lesson moves
Ways to Teach It
Give pairs fraction strips to build four groups of 2/3, count the thirds, and write an equation for the total.
Ask, "Why does 3 × 2/5 equal 6/5 rather than 6/15?" Have students draw fifths and write two sentences.
Give students cards showing equations, fraction drawings, and answers; have them race to match 2 × 3/4 with six fourths and 6/4.
Pose a planning problem for a hypothetical Blackfeet Nation community cleanup: one volunteer works four 3/4-hour shifts; students find the total time.
Free download
Printable MT.4.NF.4 Worksheet
A ready-to-print activity worksheet aligned to MT.4.NF.4, 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
- MT.5.NF.4
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction by: Expressing the product a/b × q as "a" parts ...
- MT.4.NF.3
Understand a fraction a/b with a > 1 as a sum of fractions 1/b by: Understanding addition and subtraction of fractions as joining and separating parts referring...
- MT.5.NF.7
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions by: Expressing division of a ...
- MT.5.NF.6
Solve problems in context that involve multiplication of fractions and mixed numbers. This standard should incorporate cultural context relating to Montana Indi...
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.
Also for this standard:Make a WorksheetMake a QuizMake a Sub Lesson