2015-2016 Curriculum Blueprint
Grade: 1
Course: Mathematics
Flexible Time
Line
Topic 15 – Equal Shares of Circles and Rectangles
7 days
Topic Overview
Students begin to develop a conceptual foundation for fractions. They focus on partitioning circles and rectangles into two or four equal shares.
Vertical Progression
Kindergarten: Students learned to distinguish between two-dimensional and three-dimensional shapes. They learned to identify and describe 2-D shapes.
2nd Grade: Students will partition circles and rectangles into halves, thirds, and fourths. They will also partition rectangles into rows and columns of equalsized squares.
Learning Goal
Essential Question
Students will partition circles and rectangles into equal shares.
What are some different names for equal shares?
Topic 15 Scale
Textbook Correlation
Recommended Instructional Sequence
Essential Vocabulary
*Be selective in choosing problems aligned to the standards
Step 1: Problem-Based Learning “Solve and Share”
 equal shares
within the topic. Lessons and problems used for instruction
Problem-Based Learning Lesson Flow Map
 halves
and assessment should be determined through collaborative
Conceptual understanding is developed when mathematics is
 fourths
unit planning.
introduced in the context of solving a real problem in which
 quarters
ideas related to the new content are embedded. Conceptual
Topic 15: Equal shares of circles and rectangles
understanding results because the process of solving a problem
Lesson 15-1: Make Equal Shares
requires students to connect their prior knowledge with the new
Lesson 15-2: Make Halves and Fourths of Rectangles and
concept or procedure (Charles, R., Bay-Williams, J., et al., 2016).
Circles
Lesson 15-3: Understand Halves and Fourths
Each lesson in the book begins with a Solve and Share. See the
Lesson 15-4: Math Practices and Problem Solving: Model with links below for additional tasks to be used as needed:
Math
Math Formative Assessment System (MFAS) Tasks by Standard
Illustrative Mathematics Tasks by Standard
Step 2: “Visual Learning Bridge”
Enhance student learning by connecting student thinking and
solutions from the Solve and Share to the new ideas of the
lesson through the use of the worked-out problem in the
textbook.
Deconstructed Standards
MAFS.1.G.1.3 (DOK 2) Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and
use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into
more equal shares creates smaller shares.
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Partition circles and squares into two and four equal shares
Identify when shares are equal
Describe equal shares using vocabulary: halves, fourths, and quarters, half of, fourth of, and quarter of
Describe the whole as two of two or four of equal shares
Analyze that dividing a circle or rectangle into more equal pieces creates smaller shares
Math Practice Standard(s)
Link to Mathematical Practice Standards Rubric
MAFS.K12.MP.4.1 Model with mathematics.
MAFS.K12.MP.7.1 Look for and make use of structure.
Additional Resources & Links
Georgia Units
Unit 6 Tasks 9-17
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.
Engage NY Module 5
Lessons 7-9
www.pearsonrealize.com
Home-School Connection Page
Reteaching Pages
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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
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What questions can you ask about equal shares?
Write to explain how to make equal parts.
Write a story problem in which the solution requires one to divide a
shape into equal parts.
Write to explain the difference between a half and a whole.
How can we divide shapes into equal parts?
How can we be sure the parts are equal?
Are these parts equal? How do you know?
Which is bigger ½ or ¼? How do you know?
How do we know these are not divided into halves?
How will half of a smaller object compare to half of a larger object?
How will halves of two same-size objects compare to each other?
FSA Test Items Specifications
Spiral Review
*Consistent review of previously learned standards allows students multiple opportunities to master and build fluency with mathematical concepts and procedures.
Pearsonrealize.com
Daily Review 15-1 through 15-4