CAMT 2012

J i l l Mowlesand

Laura Sage

Do We Measure Up?

“A measurement is a number that compares

the attribute of an object being measured to the

same attribute of a unit of measure.”

(Van de Walle, 1998).

Coffee Talk

Can a rectangle have the same area and perimeter?

How does understanding the difference in their unit affect

your answer?

BIG IDEA

The connection between 1-dimensional object measure2-dimensional object measure3-dimensional object measure

and the unit labels usedto communicate their measure.

Media Misconceptions

Sonichttp://www.youtube.com/watch?v=B_58XJZcLRE

SpongeBob Square Pants

http://www.youtube.com/watch?v=xDJP6yUdNsw

Lets Talk Units…

1- Everybody grab a straw Straw = 1 inch

2-Using your post it… fold over your straw and label “unit”

3- What is the perimeter of your paper?

4- Can you line your units up in different ways and the total number of linear unit change?

Lets Talk Squared Units…

1. Using your pipe cleaners connect 4 inch units to create a squared unit.

2. What is the area of your paper?

3. Can you group the squared units in different ways and the area be affected?

1 squares unit (unit²)

Lets Talk Cubic Units

1. Using 12 straw units and your pipe cleaners, make a cubic unit.

2. What kind of questions could you ask with this progression of building the units?

1 cubic unit (unit³)

Take Home Point

Connect all the units to show relationships.

Connecting Pictorial to verbal and written relationships of units in measurement.

Basic understanding of the unit and connection to measurement can effect the

development of future Student Expectations.

What do the TEKS tell us?

1- Grab the bag with TEKS.

2- With your group order the TEKS from kinder to 8th grade.

What do the TEKS say…

What does the vocabulary tell you about the development of

measurement?

Application

Facilitate a discussion/journal about the measurement attributes of the items, the unit on the items and the meaning of those units.

For example:

What does 75 ft² (squared feet) on a box of aluminum foil mean?

What if the aluminum foil box said 75 feet long?

What does 3 ft³ on a bag of mulch mean?

Application

Tiffany is wallpapering her kitchen. She will also put a border around the kitchen.

What does Tiffany need to know when purchasing the border?

(Perimeter, length, no other special unit name)

What does she need to know to determine the amount of wall paper to buy?

(length and width of walls, square units)

Application

Sean wants to give his sister a sandbox. He needs to place the sandbox in the yard and buy sand to

fill the sandbox.

a. What does Sean need to know about the border to build around the sandbox?

b. What does Sean need to know about the place for the sandbox?

c. What does Sean need to know to fill the sandbox?

Third Grade Sample Question

Fourth Grade Sample Question

Fifth Grade Sample Question

Sixth Grade Sample Question

The table below shows the base length and area of several triangles. All these triangles have a height of 8 feet.

Triangles

Base, b(feet)

Area, A(square feet)

4 16

8 32

12 48

16 64

F A = G A = b2

H A = 4bJ A = b + 12

4b

Seventh Grade Sample Question

Mr. Ellis was trying to find a tablecloth for his rectangular dining table. He knew the area and perimeter of the tabletop.

Area = 36 square feetPerimeter = 26 feet

Which best represents the width and length of the tabletop?

A Width = 2 ftLength = 18 ftB Width = 3 ftLength = 12 ftC Width = 6 ftLength = 6 ftD Width = 4 ftLength = 9 ft

Seventh Grade Sample Question

Marilyn was studying the effects of tripling the dimensions of 4 rectangles. The table below shows these effects.

Area of Rectangles

Original Area(square centimeters)

New Area(square centimeters)

4 3636 324

324 2,9162,916 26,244

Based on the information in the table, which statement is true?A. Tripling the dimensions of any rectangle increases its area by a factor of 3.B. Tripling the dimensions of any rectangle increases its area by a factor of 6.C. Tripling the dimensions of any rectangle increases its area by a factor of 9.D. Tripling the dimensions of any rectangle increases its area by a factor of 12.

Eighth Grade Sample Question

STAAR Geometry

Math Rocks! Perimeter & Area

http://www.youtube.com/watch?v=D5jTP-q9TgI

http://www.youtube.com/watch?v=Ku1SEFNMYe8&feature=related

http://www.youtube.com/watch?v=KwXBMGdSWmI&feature=related

Website with Resources

doyoumeasureupcamt2012.wikispaces.com

jill.mowles@visd.netlsage@nacisd.org

“Students must understand the attributes of the units and the attribute being measured.

For example, attributes of a square unit include length and width or it is described

as two dimensional. When measuring the length and width

attributes of an object, a square unit is used because the attributes of the unit and object

being measured are the same. Encourage students to think of “filling” with cubes,

“covering” with squares and “matching” the lines”

(Van de Walle, 1998).