Essential Questions: How do we describe, sort, and classify shapes?
What is perimeter?
What are real-world uses for solving for perimeter?
What types of geometric figures can be used to solve for perimeter?
How does one solve for perimeter?
Why can two rectangles have the same perimeter and different areas or have the same area and different perimeter?
How are area and perimeter related?
Lesson Plan D.8: What is Perimeter?
Lesson Seed D.8: Same Perimeter Different Area
Content Emphasis By Clusters in Grade 3
Progressions from Common Core State Standards in Mathematics
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Lesson seeds are ideas that can be used to build a lesson aligned to the CCSS. Lesson seeds are not meant to be all-inclusive, nor are they substitutes for instruction. When developing lessons from these seeds, teachers must consider the needs of all learners. It is also important to build checkpoints into the lessons where appropriate formative assessment will inform a teachers instructional pacing and delivery.
In this unit, students focus on solving real-world and mathematics problems involving perimeters of polygons. They find the perimeter of a polygon when the side lengths are given. They find the unknown side length. They display rectangles that have the same perimeter but different areas or the same area but different perimeters.
At the end of the unit on Perimeter, students will understand that:
Focus Standards (Listed as Examples of Opportunities for In-Depth Focus in the PARCC Content Framework document):
Possible Student Outcomes:
The student will be able to:
Evidence of Student Learning:
The Partnership for Assessment of Readiness for College and Careers (PARCC) has awarded the Dana Center a grant to develop the information for this component. This information will be provided at a later date. The Dana Center, located at the University of Texas in Austin, encourages high academic standards in mathematics by working in partnership with local, state, and national education entities. Educators at the Center collaborate with their partners to help school systems nurture students' intellectual passions. The Center advocates for every student leaving school prepared for success in postsecondary education and in the contemporary workplace.
Fluency Expectations and Examples of Culminating Standards:
Interdisciplinary connections fall into a number of related categories:
Sample Assessment Items: The items included in this component will be aligned to the standards in the unit and will include:
Interventions/Enrichments/PD: (Standard-specific modules that focus on student interventions/enrichments and on professional development for teachers will be included later, as available from the vendor(s) producing the modules.)
Vocabulary/Terminology/Concepts: This section of the Unit Plan is divided into two parts. Part I contains vocabulary and terminology from standards that comprise the cluster, which is the focus of this unit plan. Part II contains vocabulary and terminology from standards outside of the focus cluster. These “outside standards” provide important instructional connections to the focus cluster.
Part I – Focus Cluster
measurement quantities: examples could include inches, feet, pints, quarts, centimeters, meters, liters, square units, etc.
area: the number of square units needed to cover a region. Examples:
tiling: highlighting the square units on each side of a rectangle to show its relationship to multiplication and that by multiplying the side lengths, the area can be determined. Example:
Part II – Instructional Connections outside the Focus Cluster
partitioning: dividing the whole into equal parts.
partitioned: the whole divided into equal parts.