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CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue, Room 202 Fayetteville, Arkansas 72701 (479) 575-3875 (479) 575-5680 (FAX) e-mail: [email protected] Website: www.cmase.edu Math Wiki: www.cmasemth.pbwiki.com

CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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Page 1: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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

Page 2: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

2 4 6 8 10 12

14 16 18 20Equivalent Fractions

www.aimsedu.org

Page 4: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

Critter Cutouts

Page 5: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

www.aim

sedu.org

Page 6: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,
Page 7: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,
Page 8: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,
Page 9: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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:

Page 10: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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

Page 11: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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

Page 12: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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

Page 13: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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._________________

______ ________ _________ ___________ _________ _________ _________ ___________

Page 14: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,
Page 15: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

Introducing…

Page 16: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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

Page 17: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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 ?

Page 18: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

Introducing…

Page 19: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

Whole

1/4

1/8

1/16

quarts

quart

Page 20: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

Capacity (gallon, quart, pint, cup)

===

1 gallon = 4 quarts = 8 pints = 16 cups

Page 21: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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 ?

Page 22: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

Introducing…

Page 23: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

Name the shapes…Body, Legs, & Arms: Head & Eyes:Mouth:Nose:Buttons:Hat:Hat Band:

Rectangle Circle

Trapezoid Rhombus OvalTriangle (Isosceles Triangle)

Parallelogram

Page 24: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

DominationTHIS ACTIVITY INCLUDES:

Equivalent Fractions…Parts of a Whole…Adding Fractions…Comparing Fractions

From Math Activities with Dominoes Grades 3-8, Cuisennaire

Page 25: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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

Page 26: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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

Page 27: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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

Page 28: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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

Page 29: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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

Page 30: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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

Page 31: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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

Page 32: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,
Page 33: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,
Page 34: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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.

Page 35: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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

.

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

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

.>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>

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

.>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>>

>

Page 36: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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.

Page 37: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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

Page 38: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

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

Page 39: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,
Page 40: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,

Investigating Fractions on a Number Line & Equivalent Fractions

www.aimsedu.org

Page 41: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,
Page 42: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,
Page 43: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,
Page 44: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,
Page 45: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,
Page 46: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,
Page 47: CATHY JONES Secondary Math Instruction Specialist Center for Mathematics and Science Education Arkansas NASA Education Resource Center 346 N. West Avenue,