Middle school collection; specific grade not stated.
Archived standards are preserved as originally published and may differ from current standards.
Compelling question
How can you find the fractional part of another fraction?
Standards & practices
South Dakota Common Core State Standards for Mathematics.
Practice 1: Make sense of problems an persevere in solving them.
Practice 2: Reason abstractly and quantitatively.
Practice 4: Model with mathematics.
Practice 6: Attend to precision.
Practice 7: Look for and make use of structure.
Practice 8: Look for and express regularity in repeated reasoning.
Staging the question
How can we find the fractional amount of each nationality for a person?
Supporting inquiries
Supporting question 1
What is the meaning of “a fraction of
another fraction”?
Formative performance task
Steps for solving multiplying a fraction
by a fraction problem:
1. If there is a mixed number then
convert to an improper
fraction.
2. Multiply the numerators times
each other.
3. Multiply the denominators
times each other.
4. Simplify if the numerator and
denominator are each divisible
by a number other than one.
5. Change from an improper
fraction to a mixed number if
the numerator is larger than
the denominator.
Featured sources
GO MATH Grade 6 (2015) , by
Houghton Mifflin Harcourt Publishing
Company. Authors: Juli K. Dixon,
Matthew R. Larson, Edward B. Burger,
Martha E. Sandoval-Martinez, Steven J.
Leinwand (ISBN 987-0-544-43281-9).
Supporting question 2
What are the steps to solve
multiplying a fraction times a
fraction?
Formative performance task
If my mother is ½ Irish and my father
is 1/8 Irish. What fraction Irish am I?
1. What fraction of Irish do I get
from my mother? ½ of ½ so
multiply ½ X 1/2 = ¼.
2. What fraction of Irish do I get
from my father? 1/2 X 1/8 =
1/16.
3. Now add the fractions
together. ¼ + 1/16 = 5/16
Featured sources
Not specified in the archived lesson.
Supporting question 3
How can we check to make sure we
calculated the problem correctly?
Formative performance task
If my mother is ¾ Native American
and my father is 1/8 Native
American then what fraction of
Native American am I?
1. ½ times ¾ from my mother =
3/8
2. ½ times 1/8 from my father
= 1/16
3. Add 3/8 + 1/16 =
6/16 + 1/16 = 7/16
Featured sources
Not specified in the archived lesson.
Summative performance task · Argument
State the steps to multiply a fraction by a fraction.
Extension
Calculate the fractional nationality of one of your nationalities.
Taking informed action
Find the fractional part of nationalities of your grandparents and parents.
Elder sources included in this lesson
No specific Elder video could be matched to the archived lesson’s source references.
Original text & supporting materials
The complete archived text is retained here, including details that may extend beyond the inquiry blueprint.
Read the full archived lesson text
“Math: Multiplying fractions” | OSEU 7: Way of Life & Development
Compelling
Question
How can you find the fractional part of another fraction?
Standards and
Practices
South Dakota Common Core State Standards for Mathematics.
Practice 1: Make sense of problems an persevere in solving them.
Practice 2: Reason abstractly and quantitatively.
Practice 4: Model with mathematics.
Practice 6: Attend to precision.
Practice 7: Look for and make use of structure.
Practice 8: Look for and express regularity in repeated reasoning.
Staging the
Question
How can we find the fractional amount of each nationality for a person?
Supporting Question 1
Supporting Question 2
Supporting Question 3
What is the meaning of “a fraction of
another fraction”?
What are the steps to solve
multiplying a fraction times a
fraction?
How can we check to make sure we
calculated the problem correctly?
Formative Performance Task
Formative Performance Task
Formative Performance Task
Steps for solving multiplying a fraction
by a fraction problem:
1. If there is a mixed number then
convert to an improper
fraction.
2. Multiply the numerators times
each other.
3. Multiply the denominators
times each other.
4. Simplify if the numerator and
denominator are each divisible
by a number other than one.
5. Change from an improper
fraction to a mixed number if
the numerator is larger than
the denominator.
If my mother is ½ Irish and my father
is 1/8 Irish. What fraction Irish am I?
1. What fraction of Irish do I get
from my mother? ½ of ½ so
multiply ½ X 1/2 = ¼.
2. What fraction of Irish do I get
from my father? 1/2 X 1/8 =
1/16.
3. Now add the fractions
together. ¼ + 1/16 = 5/16
If my mother is ¾ Native American
and my father is 1/8 Native
American then what fraction of
Native American am I?
1. ½ times ¾ from my mother =
3/8
2. ½ times 1/8 from my father
= 1/16
3. Add 3/8 + 1/16 =
6/16 + 1/16 = 7/16
Featured Sources
Featured Sources
Featured Sources
GO MATH Grade 6 (2015) , by
Houghton Mifflin Harcourt Publishing
Company. Authors: Juli K. Dixon,
Matthew R. Larson, Edward B. Burger,
Martha E. Sandoval-Martinez, Steven J.
Leinwand (ISBN 987-0-544-43281-9).
Summative
Performance
Task
Argument
State the steps to multiply a fraction by a fraction.
Extension
Calculate the fractional nationality of one of your nationalities.
Taking Informed
Action
Find the fractional part of nationalities of your grandparents and parents.