2015-2016 Curriculum Blueprint
Grade: 5
Flexible Time
Line
Course: Mathematics
9 days
Topic 11 – Convert Measurements
Topic Overview
Topic 11 focuses on using multiplication and division to convert measurements of length, capacity, weight, and mass within either the customary or metric
measurement system and on solving problems involving measurement conversions.
Vertical Progression
4th Grade: The students find equivalence in units of measure.
6th Grade: The students will be able to convert measurements within the customary system, within the metric system, and between the two units.
Learning Goal
Essential Question
The students will be able to convert measurements in both the customary and
What are customary measurement units and how are they related?
metric units of measure.
What are metric measurement units and how are they related?
Topic 11 Scale
Textbook Correlation
Recommended Instructional Sequence
Essential Vocabulary
 inch
*Be selective in choosing problems aligned to the standards
Step 1: Problem-Based Learning “Solve and Share”
 foot
within the topic. Lessons and problems used for instruction
Problem-Based Learning Lesson Flow Map
 yard
and assessment should be determined through collaborative
Conceptual understanding is developed when mathematics is
 mile
unit planning.
introduced in the context of solving a real problem in which
 capacity
ideas related to the new content are embedded. Conceptual
 cup
Topic 11: Convert Measurements
understanding results because the process of solving a problem
 fluid ounce
Lesson 11-1: Convert Customary Units of Length
requires students to connect their prior knowledge with the new  pint
Lesson 11-2: Convert Customary Units of Capacity
concept or procedure (Charles, R., Bay-Williams, J., et al., 2016).  quart
Lesson 11-3: Convert Customary Units of Weight
 gallon
 weight
Lesson 11-4: Convert Metric Units of Length
Each lesson in the book begins with a Solve and Share. See the
 ton
Lesson 11-5: Convert Metric Units of Capacity
links below for additional tasks to be used as needed:
 pound
Lesson 11-6: Convert Metric Units of Mass
Lesson 11-7: Solve Word Problems Using Measurement
Math Formative Assessment System (MFAS) Tasks by Standard  ounce
 kilometer
Conversions
Illustrative Mathematics Tasks by Standard
 meter
Lesson 11-8: Math Practices and Problem Solving: Precision
 centimeter
Step 2: “Visual Learning Bridge”
 millimeter
*See Additional Resources for resources for teaching time
Enhance student learning by connecting student thinking and
 liter
conversions (MFAS and EngageNY).
solutions from the Solve and Share to the new ideas of the
 milliliter
 mass
lesson through the use of the worked-out problem in the
 milligram
textbook.


gram
kilogram
Deconstructed Standards
MAFS.5.MD.1.1 (DOK 2) Convert among different-sized standard measurement units (i.e., km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec) within a given
measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.
 Recognize units of measurement within the same system.
 Divide and multiply to change units.
 Convert units of measurement within the same system.
 Solve multi-step, real world problems that involve converting units.
*For the following standard, focus in this unit is on the bolded deconstructed standard below.
MAFS.5.NBT.1.2 (DOK 2) Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the
placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
 Translate between powers of 10 written as 10 raised to a whole number exponent, in expanded form, and standard notation. (addressed in previous
topics)
 Explain the patterns in the number of zeros of the product when multiplying a number by powers of 10. (addressed in previous topics)
 Explain the relationship of the placement of the decimal point when a decimal is multiplied or divided by a power of 10.
 Represent powers of 10 using whole number exponents. (addressed in previous topics)
MAFS.5.NBT.2.5 (DOK 1) Fluently multiply multi-digit whole numbers using the standard algorithm.
 Fluently multiply multi-digit whole numbers using the standard algorithm.
MAFS.5.NBT.2.6 (DOK 2) Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on
place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using
equations, rectangular arrays, and/or area models.
 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors.
 Use strategies based on place value, the properties of operations, and/or the relationship between multiplication and division to solve division
problems.
 Illustrate and explain division calculations by using equations, rectangular arrays, and/or area models.
Math Practice Standard(s)
Link to Mathematical Practice Standards Rubric
MAFS.K12.MP.2.1 Reason abstractly and quantitatively.
MAFS.K12.MP.6.1 Attend to precision.
Additional Resources & Links
Higher Order Questions & Writing Connections
Link to Webb’s DOK Guide
Georgia Units
*Higher order questions should be utilized to foster a deep, conceptual
Unit 6 – Volume and Measurement
understanding of the topic. Encouraging students to express their
Estimate-Measure-Estimate
mathematical thinking in writing helps them solidify their learning.
Water, Water: Customary Units
Water, Water: Metric Units
EngageNY - Module 2
Topic D: Lessons 13-15
Topic H: Lessons 28-29




Explain the relationship between two units in the same system.
Why is it important to convert units of measure?
Why is there more than one system of measurement (i.e.,
customary and metric)?
How can you solve the problem in a different way?
www.PearsonRealize.com:
Home School Connection
Reteach to Build Understand Pages
Professional Development Videos
Marzano Proficiency Scales Bank
Math Formative Assessment System (MFAS) Tasks by Standard
CPALMS - MFAS includes tasks and rubrics that the teacher can implement with
their students.
Illustrative Mathematics Tasks by Standard
The site illustrates standards with impeccably crafted tasks, videos, lesson plans,
and curriculum modules.
Common Core Flip Books: Provides additional information and sample problems
for every standard
FSA Test Item Specifications
Spiral Review
*Consistent review of previously learned standards allows students multiple opportunities to master and build fluency with mathematical concepts and
procedures.
www.pearsonrealize.com
Daily Review 11-1 through 11-8