Do We Measure Up?
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CAMT 2012 Jill Mowles and Laura Sage Do We Measure Up?
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Do We Measure Up?. CAMT 2012 Jill Mowles and Laura Sage. “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? - PowerPoint PPT Presentation
Transcript of Do We Measure Up?
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
“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).
