2017-2018 Curriculum Blueprint
Grade: 5
Course: Mathematics
Topic 11 – Convert Measurements
Flexible Time
Line
9 days
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.
4th Grade: The students find equivalence in units of measure.
Vertical Progression
Coherence Map
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
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. [Procedural Skill and Fluency;
Application]
• 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. [Conceptual
Understanding]
• 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. [Procedural Skill and Fluency]
• 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. [Conceptual Understanding]
• 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.
Suggested Learning Progression
Recommended Instructional Sequence
The following learning progression provides students with an opportunity to
This instructional sequence is intended to provide a framework for student
construct meaning and create connections through the CRA Method:
learning. Various options are listed below each step in the sequence.
Collaborative teams may adjust the sequence as necessary to meet the needs
Concrete – Representational – Abstract.
of their students.
*Collaborative teams should be selective in choosing standards-aligned tasks
Step 1: 5-Minute Spiral Review
for instruction and assessment. Teams may adjust the sequence and use
• Pearson Daily Review
additional resources based on the needs of their students.
Topic 11: Convert Measurements
** Students should refer to the FSA Reference Sheet throughout the topic
Sample Thinking Map: Models and Strategies for Converting Measurements
Teachers may use this map for professional development or as a teaching
tool. Teachers may build this map with their students as they learn the
strategies throughout the topic. Teachers should be selective in choosing
strategies that they feel will benefit their students’ understanding of the
standard.
Lesson 11-1: Convert Customary Units of Length (MD.1.1, NBT.2.5, & NBT.2.6)
- Students should have access to rulers and yard sticks
• Additional Resources:
• Teaching Tools pg. 17
• Georgia Units: Unit 6 – Estimate-Measure-Estimate
• EngageNY - Module 2: Topic D: Lesson 14
Lesson 11-2: Convert Customary Units of Capacity (MD.1.1, NBT.2.5, & NBT.2.6)
- Students should have access to cup, pint, quart, and gallon containers
• Additional Resources:
o Georgia Units: Unit 6 – Estimate-Measure-Estimate & Water,
Water: Customary Units
• Common Misunderstandings or Errors
Step 2: Problem-Based Learning
• Solve and Share
•
Math Formative Assessment System (MFAS) Tasks by Standard
• Illustrative Mathematics Tasks by Standard
Step 3: Focus Lesson & Opportunities for Practice
• Visual Learning Bridge
• Guided Practice
• Thinking Map/Graphic Organizer
• Collaborative work
• Interactive Notebook
• Independent Practice
• Whole Group i-Ready Lesson
• Task Oriented Instruction
(additional opportunities for PBL)
Step 4: Differentiated Instruction
• Small group instruction
• Guided Practice
• Centers/stations (including i• Intervention/Enrichment
Ready)
Step 5: Student Debrief
• Thinking Map/Graphic Organizer
• Reflection
o So what? What did you
• Exit Ticket
learn?
• Interactive Notebook
o So why? Why is it
important?
o
Higher Order Questions & Writing Connections
Link to Webb’s DOK Guide
*Higher order questions should be utilized to foster a deep, conceptual
understanding of the topic. Encouraging students to express their
mathematical thinking in writing helps them solidify their learning.
Teacher-generated resource: Gallon Land
Lesson 11-3: Convert Customary Units of Weight (MD.1.1, NBT.2.5, & NBT.2.6)
• Additional Resource: Georgia Units: Unit 6 – Estimate-MeasureEstimate
Lesson 11-4: Convert Metric Units of Length (MD.1.1, NBT.1.2)
- Students should have access to a centimeter ruler and meterstick
• Refer to the thinking map and chart below to support metric
conversions.
o Sample Thinking Map: Powers of Ten Circle Map
o Metric Connection to Powers of Ten Chart
• Additional Resources:
• Teaching Tools pg. 16
• EngageNY - Module 2: Topic D: Lesson 13
Lesson 11-5: Convert Metric Units of Capacity (MD.1.1, NBT.1.2)
• Additional Resource: Georgia Units: Unit 6 – Water, Water: Metric
Units
Lesson 11-6: Convert Metric Units of Mass (MD.1.1, NBT.1.2)
Lesson 11-7: Solve Word Problems Using Measurement Conversions (MD.1.1,
NBT.2.5)
• Additional Resources:
• EngageNY - Module 2 :Topic D: Lesson 15
• Solve Word Problems Involving Conversions
Lesson 11-8: Math Practices and Problem Solving: Precision (MD.1.1, NBT.2.5)
- Students should have access to a centimeter ruler and meterstick
• Teaching Tools pg. 16
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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?
Professional Development
Marzano Proficiency Scales Bank
Common Core Flip Books: Provides
additional information and sample
problems for every standard
FSA Test Item Specifications
Resources
Pearson enVisionMath2.0
Home-School Connection Page
Reteaching Pages
Daily Review
Florida Interim Assessment Item Bank and Test Platform
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.
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Essential Vocabulary
inch
• pound
foot
• ounce
yard
• kilometer
mile
• meter
capacity
• centimeter
cup
• millimeter
fluid ounce • liter
pint
• milliliter
quart
• mass
gallon
• milligram
weight
• gram
ton
• kilogram