Subject Area: Mathematics (NYS P-12 Common Core)
Grades: Elementary, 4th Grade
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
Subject Area: Mathematics (NYS P-12 Common Core)
Grades: Elementary, 4th Grade
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.)
Subject Area: Mathematics (NYS P-12 Common Core)
Grades: Elementary, 4th Grade
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?
Subject Area: Mathematics (NYS P-12 Common Core)
Grades: Intermediate, 5th Grade
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
Subject Area: Mathematics (NYS P-12 Common Core)
Grades: Intermediate, 5th Grade
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
Subject Area: Mathematics (NYS P-12 Common Core)
Grades: Intermediate, 5th Grade
Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) / 4, and use a visual fraction model to show the quotient.
Use the relationship between multiplication and division to explain
that (1/3) / 4 = 1/12 because (1/12) * 4 = 1/3.
Subject Area: Mathematics (NYS P-12 Common Core)
Grades: Intermediate, 5th Grade
Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 / (1/5), and use a visual fraction model to show the quotient. Use
the relationship between multiplication and division to explain that
4 / (1/5) = 20 because 20 * (1/5) = 4.
Subject Area: Mathematics (NYS P-12 Common Core)
Grades: Intermediate, 5th Grade
Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to
represent the problem. For example, how much chocolate will each
person get if 3 people share 1/2 lb of chocolate equally? How many
1/3-cup servings are in 2 cups of raisins?
Subject Area: Mathematics (NYS P-12 Common Core)
Grades: Intermediate, 6th Grade
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For
example, create a story context for (2/3) / (3/4) and use a visual fraction
model to show the quotient; use the relationship between multiplication
and division to explain that (2/3) / (3/4) = 8/9 because 3/4 of 8/9 is 2/3.
(In general, (a/b) / (c/d) = ad/bc.) How much chocolate will each person
get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup
servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of
land with length 3/4 mi and area 1/2 square mi?
Subject Area: Mathematics (NYS P-12 Common Core)
Grades: Intermediate, 7th Grade
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
Subject Area: Mathematics (NYS P-12 Common Core)
Grades: Intermediate, 7th Grade
Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q =
p/(-q). Interpret quotients of rational numbers by describing realworld
contexts.
