Lesson / Document · South Dakota · OSEU 7
Themes: Land & stewardship, Education & learning, Values & generosity, Economy & livelihoods
Resource text
“Math: Converting from one unit to another” | OSEU 7: Way of Life &
Development
Compelling
How can one type of unit of measure be converted to another unit of measure?
Question
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.
Standards and
Practice 4: Model with mathematics.
Practices
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 How can we convert a length of time like a “Moon” in Native American terminology to another unit
Question of time like days?
Supporting Question 1 Supporting Question 2 Supporting Question 3
How can we compare an amount of How do we change from one type of
Can we use a model to convert any
one unit to an equal amount of unit to another type of unit without
unit value to any other unit value?
another? destroying the initial value?
Formative Performance Task Formative Performance Task Formative Performance Task
Steps for solving a conversion problem:
1. Determine the given units and the
units we want to find. Will it take Write the 4 steps to solving unit
Convert 10 cups drinking water to conversion problems.
one step or many? gallons.
2. State the equivalent units such as
“one Native American ‘moon’
Step 1: Given units and wanted unit
equals 28 days. 1 moon = 28 days Step 1: Given units (10 cups). Wanted
3. Divide the equivalent values by units (gallons). Step 2: State equivalent units
each other to get a quotient of 1. Step 3: Divide equivalent values by
1 moon/28 days = 1 or Step 2: 1 gallon = 16 cups
each other to get a quotient of 1.
28 days = 1 moon Step 3: 1 gal/16 cups or 16 cups/1 gal
Step 4: Multiply the given units by
4, Multiply the given unit value by Step 4: the division problem that will cancel
the division problem so that the given given units and leave the wanted
units cancel out and the wanted units 10 cups X 1 gal/16 cups = .625 Gallons
units.
remain. Ex. Convert 168 days to moons
168 days X 28 days/1 moon = 6 moons
Featured Sources Featured Sources Featured Sources
GO MATH Grade 6 (2015) , pg 315-332 Prentice Hall “Physical Science
by Houghton Mifflin Harcourt Concepts in Action With Earth and
Publishing Company. Authors: Juli K. Space Science” Wysession, Frank,
Dixon, Matthew R. Larson, Edward B. Yancopoulos. pg 18, 196-198. ISBN 0-
Burger, Martha E. Sandoval-Martinez, 13-166308-9
Steven J. Leinwand (ISBN 987-0-544-
43281-9).
Summative Argument State the steps to calculating a conversion problem.
Performance Calculate a conversion from 3520 yards to miles using the 4 conversion steps discussed
Task Extension
in this lesson. (1760 yards = 1 mile)
Taking Informed
Create and solve a conversion problem.
Action