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CATHY JONESSecondary Math Instruction SpecialistCenter for Mathematics and Science EducationArkansas NASA Education Resource Center346 N. West Avenue, Room 202Fayetteville, Arkansas 72701(479) 575-3875(479) 575-5680 (FAX)e-mail: [email protected]: www.cmase.eduMath Wiki: www.cmasemth.pbwiki.com
2 4 6 8 10 12
14 16 18 20Equivalent Fractions
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Critter Cutouts
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sedu.org
1. ________________________________
2. ________________________________
3. ________________________________
4. ________________________________
5. ________________________________
Look around your table…Write five fractions and statements about your group and draw pictures depicting them.
1.___________________________
2.___________________________
3.___________________________
4.___________________________
5.___________________________
Name: ________________________________________________________________Part I: Part II:
Words Made With Fraction Sense
DIRECTIONS: As manipulatives, use the small sticky notes on the desks. Write each letter of the given word on a note and move them around, as needed. Use your fraction skills and the clues to figure out the words.
• Start with the first 1/6 of “school”.
• Add the last 3/4 of “know”.
• Add the first 2/3 of “fly”.
• Add the last 4/8 of “cupcakes”.
Strand: Number & Operations Standard 1: Number Sense 2nd - 3rd grade
Words Made With Fraction Sense
• Start with the first 6/8 of “base”.
• Add the last 1/2 of “market”.
• Add the first 2/14 of “balance”.
• Add the last 6/8 of “fall”.
Strand: Number & Operations Standard 1: Number Sense 4th – 5th Grade
Words Made With Fraction Sense
• Start with the last 20/50 of “table”.
• Add the first 4/24 of “anyone”.
• Add the first 1/3 of “velvet”.
• Add the first 5/15 or the last 7/21 of “sis”.
Strand: Number & Operations Standard 1: Number Sense 5th – 6th grade
Use sticky notes to write the words with each letter on a separate note. Pick them up, move them around and make the new word. Write it down. When you have finished all seven words combine them into a message at the bottom. Then go find your prize.
Clues1. The last 2/5 of “Earth” + the last 1/5 of “space”.
1._________________2. The first 2/7 of “missile” + the first ¼ of “lift” + the first 1/7
of “Kennedy” + the last 1/7 of “Kennedy”.2._________________
3. The first ¼ of “work” + the last 2/3 of “ray”.3._________________
4. The third seventh of “science” + the first 1/3 of “sun”.
4._________________5. The fourth and fifth sevenths of “landing” + the first 3/7 of “recover” + the fifth and sixth sevenths of “shuttle” + the last 1/7 of “galaxy”.
5._________________6. The first ¾ of “belt” + the second ¼ of “moon”
+ the first 1/5 of “wings”. 6._________________7. The first 1/3 of “thrust” + the second 1/6 of “meteor”.
7._________________
8. The first 5/9 of “Earthling”. 8._________________
______ ________ _________ ___________ _________ _________ _________ ___________
Introducing…
With the 4 colors of paper fold on the lines, cut, and punch holes, as shown below.
Punch holes on sides
Punch holes on bottom
Punch holes on top & bottom
The matching colors of his limbs add up to his body,
which represents 1 whole.What fractional part does
each color represent?
ORANGE ? YELLOW ? BROWN ?
Introducing…
Whole
1/4
1/8
1/16
quarts
quart
Capacity (gallon, quart, pint, cup)
===
1 gallon = 4 quarts = 8 pints = 16 cups
The matching colors of Nollag’s limbs add up to his
body, which represents a gallon.
What quantity does each color represent?
ORANGE ? YELLOW ? BROWN ?
Introducing…
Name the shapes…Body, Legs, & Arms: Head & Eyes:Mouth:Nose:Buttons:Hat:Hat Band:
Rectangle Circle
Trapezoid Rhombus OvalTriangle (Isosceles Triangle)
Parallelogram
DominationTHIS ACTIVITY INCLUDES:
Equivalent Fractions…Parts of a Whole…Adding Fractions…Comparing Fractions
From Math Activities with Dominoes Grades 3-8, Cuisennaire
DominationTHIS ACTIVITY CAN INCLUDE:
Equivalent Fractions…Parts of a Whole…Adding Fractions…Comparing Fractions
Materials:
1 set of Double Six Dominoes per pair. Remove all the BLANKS from the set. Place in a paper bag.
2 Markers, crayons, or pencils of different colors per team
“Domination” mat
Student reporting sheet
Content Instruction:
Hold the Domino vertically. Turn the end with the fewer PIPS to the top. Read it as a fraction, discuss that these will always be less than 1.
When the PIPS are the same top and bottom, read as a fraction and discuss that these will always equal 1.
Domination
= 25
= 55 = 1
Discuss different ways a fraction could be represented.
Example: If you have the two-three domino, that is 2/3. It could be represented in what ways on the mat?2 of the 1/3 spaces
or4 of the 1/6 spaces
or1 of the 1/3 spaces and 2 of the 1/6 spaces
Game directions:
Both players select a domino and read the fraction as directed above. Compare the fractions. The person with the largest fraction then colors in or puts his initials in the correct parts of the mat that equal that fraction. The next player then does the same. After each play the domino is returned to the bag and the process is repeated until the entire mat is filled. At times a player may draw a domino that can no longer be used. It should be discarded from the bag. The player can choose another domino or the rule can be that the player looses his turn.Another option is to assign each side of the mat to a specific player and let them compete in trying to fill their side first.
Domination
Assessing for Understanding:
A worksheet is attached for students to keep track of what they did on each play. This can be turned in to the teacher, if desired.
Domination
Domination Student Recording Sheet Name:______________________ Turn # Fraction Sections Captured
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
Scoring:
Option 1: A simple process would be to count the number of sections captured by each person. Therefore, it would be an incentive to capture 4 sections of 1/6 each as opposed to 2 sections of 1/3 for the two-three domino. The one with the most sections captured would be the DOMINATOR.
Option 2: To include addition of fractions, mixed numbers, and comparing fractions, the players will add the fraction total they captured on each column of the mat; combine these totals for their own grand total; and compare to their opponent’s grand total to find the DOMINATOR.
The winner colors in the “DOMINATION” box at the top of the mat.
Domination
Spring Blossom Tree Trace your arm and use colored pop corn to make this neat tree full of blossoms. Materials Needed:
Large Piece of Paper Crayons Glue Powdered Tempera Paint Plastic Sandwich Bag Popcorn Instructions:On the large piece of paper, trace your hand and forearm all the way up to your elbow. Make sure your fingers are spread apart. The tracing of your forearm will be the tree trunk and your fingers will be the branches! Color it in with brown crayons (you can also use paint or markers). Place a couple or teaspoons of red, pink, or yellow powdered tempera paint into a plastic sndwich bags. Put a couple of handfulls of popped popcorn into the bags and shake it so the popcorn is colored. This will be colorful blossoms for the tree.Read the following Springtime story and glue the “blossoms” as directed.Glue the colored popcorn onto the tree branches to make the blossoms.
Th
e blo
ssom
s and
leaves have ju
st beg
un
to sp
rou
t on
the
sprin
g trees. B
ut th
e sprin
g w
ind
often
blo
ws th
e new
blo
ssom
s an
d leaves to
the g
rou
nd
.
Th
is tree has m
ore b
losso
ms o
n th
e tree than
on
the g
rou
nd
. If 6 are o
n th
e tree and
3 on
the g
rou
nd
wh
at fraction
are on
the
tree? _________________
Wh
at fraction
al part are o
n th
e gro
un
d?
_______________
Glu
e the co
rrect nu
mb
er of b
losso
ms w
here th
ey belo
ng
.
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Th
ere are lots o
f little green
leaves. On
e-fou
rth o
f them
are on
th
e gro
un
d.
Wh
at fraction
of th
e leaves are on
the tree?
____________
If there are 12 leaves all to
geth
er, ho
w m
any are o
n th
e g
rou
nd
_______________?
Ho
w m
any are o
n th
e tree? ______________
Glu
e the co
rrect nu
mb
er of leaves w
here th
ey belo
ng
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Bu
tterflies love th
e new
little blo
ssom
s. Th
ere are three
bu
tterflies flying
by th
e tree. Tw
o-th
irds o
f them
land
on
the
tree. Ho
w m
any are o
n th
e tree? ____________
Th
e remain
ing
land
on
the g
rou
nd
. Wh
at fraction
al part o
f the
bu
tterflies are no
t on
the tree?
_____________
Glu
e the co
rrect nu
mb
er of b
utterflies w
here th
ey belo
ng
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Find the fractional value of the Pattern Blocks
Draw and color each of the items listed below on triangle paper and record the values.
1. A hexagon has a value of 1.
2. What is the value of a green triangle?
3. What is the value of a blue rhombus?
4. What is the value of a trapezoid?
5. Build a design using one of each: yellow, blue, red, and green blocks. Find the value of your design.
6.Build a design using five or more yellow, blue, red, or green blocks in any combination. Find the value of your design.
Can you solve these Pattern Block fraction puzzles?
Working with a partner, use Pattern Blocks to solve each of these fraction puzzles.
Puzzle 1: Build a triangle that is one-fourth green and three-fourths red.
Puzzle 2: Build a hexagon that is one-half red, one-sixth green and one-third blue.
Puzzle 3: Build a parallelogram that is three-fourth red and one-fourth green.
Puzzle 4: Build a parallelogram that is one-half blue and one-half green.
Using triangle grid paper, record, color, and number each of your puzzle solution.
The Super Source Pattern Blocks Grades 5-6
Can you solve these Pattern Block fraction puzzles?
Working with a partner, use Pattern Blocks to solve each of these fraction puzzles.
Puzzle 1: Build a triangle that is one-third green and two-thirds red.
Puzzle 2: Build a triangle that is two-thirds red, one-ninth green and two-ninths blue.
Puzzle 3: Build a parallelogram that is three-fourths blue and one-fourth green.
Puzzle 4: Build a parallelogram that is two-thirds blue and one-third green.
Using triangle grid paper, record, color, and number each of your puzzle solution.
The Super Source Pattern Blocks Grades 5-6
Investigating Fractions on a Number Line & Equivalent Fractions
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