k-6 geometry progression in practice content contained is licensed under a creative commons...

K-6 Geometry Progression In Practice

Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

Objectives

To explore the K-5 Geometry Standards for Mathematics

To experience a math activity that focuses on deeper understanding of the classification of shapes.


3Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License

2-D and 3-D

Shapes

Precise

Terminology

Compose and

Decompose

Properties

and Attributes

Compose andDecompose

Sides and Angles

K 1 2

Geometry Learning Progression

Area

Definitions

Fractions

Parallel, Perpendicular, Right, Acute,

Obtuse angles, Line segments, Ray, Symmetry

Volume

Coordinate System

Categorize Shapes

3 4 5

Geometry Learning Progression


Read Geometry Progressions Overview Page 2-5

Goals for K-6 Geometry

• Shapes, components, properties and categorization based on properties

• Compose and decompose shapes

• Spatial relationships and structuring



Visual

• Students recognize shapes.• A rectangle “looks like a door”.

Descriptive

• Students perceive properties of shapes.• A rectangle has four sides, all of its sides are straight,

opposite sides have equal length.

Analytic

• Students characterize shapes by their properties.• A rectangle has opposite sides of equal length and four right

angles.

Abstract

• Students understand that a rectangle is a parallelogram because it has all the properties of parallelograms.

“From Kindergarten on, students experience all of the properties of shapes that they will

study in Grades K–7, recognizing and working with these properties in increasingly

sophisticated ways.”K-6 Geometry Progressions


Let’s do some math!

Start with one post-it note. Fold the note in half on the diagonal. Cut along the fold. What new shapes have we created? Explore the shapes you can make

with two triangles.


Guess My Rule


These follow my rule These don’t follow my rule

The Four Triangle Problem

Cut another post-it on the diagonal.Use 4 triangles to compose a shape that

follows my rule and tape it together. Is your shape the same or different from

your teammates shapes?How do you know? What makes a

shape unique?


Shape Search With your team find all possible

unique shapes using four triangles. Consider only congruence – not color

or position. Tape each composite shape together. Persevere until you have found them

all… how many do you think there are?


Shape SortWhat attributes could you use to sort

the shapes?Sort the shapes using this attribute.Display the results of your sort on a

piece of chart paper.Be ready to share your sort.


Connect to Geometry Progression

• Look at a grade level progression.• How could you use the Four Triangle

Problem at the grade level you teach?


Connect to Geometry Standards

• Align this to a grade-level content standard.

• Align this to at least one practice standard.


“It is important to vary the examples in many ways so that

students do not learn limited concepts that they must later

unlearn.” K-6 Geometry Progressions

Reflection

• How has the geometry domain changed since previous standards?

• How will this effect your teaching and planning?

• What resources/tools do you need to be able to implement the geometry domain in your classroom?

The Four Triangle Problem was written by Cheryl Rectanus and can be found in the book

Math By All Means

Geometry Grades 3 – 4

A Marilyn Burns

Replacement Unit

Copyright 1994 by

Math Solutions

Publications

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properties of shapes

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geometry shapes

classification of shapes

teammates shapes

new shapes

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