Top Banner
K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License
22

K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

Dec 22, 2015

Download

Documents

Kerry Wiggins
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

K-6 Geometry Progression In Practice

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

Page 2: 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.

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

Page 3: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

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

Page 4: K-6 Geometry Progression In Practice Content 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

Page 5: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

Area

Definitions

Fractions

Parallel, Perpendicular, Right, Acute,

Obtuse angles, Line segments, Ray, Symmetry

Volume

Coordinate System

Categorize Shapes

3 4 5

Geometry Learning Progression

Page 6: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

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

Read Geometry Progressions Overview Page 2-5

Page 7: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

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

Page 8: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

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

Page 9: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

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

Page 10: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

Goals for K-6 Geometry

• Shapes, components, properties and categorization based on properties

• Compose and decompose shapes

• Spatial relationships and structuring

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

Page 11: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

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

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.

Page 12: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

“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

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

Page 13: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

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.

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

Page 14: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

Guess My Rule

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

These follow my rule These don’t follow my rule

Page 15: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

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?

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

Page 16: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

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?

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

Page 17: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

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.

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

Page 18: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

Connect to Geometry Progression

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

Problem at the grade level you teach?

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

Page 19: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

Connect to Geometry Standards

• Align this to a grade-level content standard.

• Align this to at least one practice standard.

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

Page 20: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

“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

Page 21: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

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?

Page 22: K-6 Geometry Progression In Practice Content contained is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

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