AMLE 2014
Nashville, TN
November 6-8, 2014
Dr. Jody Fernandez
Dr. Karen Lafferty
Morehead State University
AMLE 2014Session 18038
INTEGRATING LITERATURE INTO MATH
CLASS: LINKING TRADE BOOKS &
CONTENT TO MEET THE STANDARDS
“ Mathematics”
Pappas, Theoni,
(1991)Math Talk:
Mathematical ideas in
poems in two voices. P.9
Wide World Publishing
ISBN: 978-0-993174-74-0
Common Core Standards for
Mathematics
• The Number System – Apply, compute, and extend
previous understandings of operations with fractions to add,
subtract, multiply and divide rational numbers. Fluency with
multi-digit numbers and find common factors and multiples.
8th grade deals with recognition of numbers that are not
rational.
• Ratio and Proportions - Understand and analyze ratio
concepts and use ratio reasoning to solve real-world problems
and mathematical problems.
Common Core Standards for
Mathematics
• Expressions and Equations – Reason and solve onevariable equations and inequalities. Use properties of
operations to generate equivalent expressions. Solve real-life
mathematical problems using numerical and algebraic
expression and equations. Understand the connections
between proportional relationships, lines, and linear
equations. Use functions to model relationship between
quantities.
• Statistics and Probability – Develop understanding of
statistical variability. Draw inferences about two populations.
Use random sampling. Investigate and evaluate probability
models.
Common Core Standards for
Mathematics
• Geometry – Solve real-world and mathematical problems
involving area, surface area, and volume. Draw, construct, and
describe geometrical figures and describe the relationships
between them. Understand congruence and similarity using
physical models, transparencies, or geometry software.
Understand the Pythagorean Theorem. Solve real-world and
mathematical problems involving volume of cylinders, cones
and spheres.
Common Core Standards for ELA
Reading
1. Read closely to determine key ideas and details
2. Determine central ideas or themes. Analyze their
development
3. Analyze how & why individuals, events, & ideas
develop & interact
4. Interpret words & phrases
5. Analyze the structure of text
6. Assess how POV or purpose shapes content
7. Integrate & evaluate diverse formats & media
8. Delineate & evaluate argument & claims
9. Analyze how two or more texts address similar themes &
topics
10. Read & comprehend text independently & proficiently
Common Core Standards - ELA
Writing
1. Write arguments using valid reasoning &sufficient evidence
2. Write informative/explanatory texts
3. Write narratives
4. Produce clear & coherent writing appropriate to task, purpose &
audience
5. Develop & strengthen writing by planning, revising, editing &
rewriting
6. Use technology
7. Conduct short & sustained research projects
8. Gather relevant information from multiple credible sources &
avoid plagiarism
9. Draw evidence from texts to support analysis, reflect, & research
10. Write routinely over extended and short time periods for a range
of tasks, purposes, & audiences
Common Core Standards - ELA
Speaking and Listening
1. Prepare for & participate effectively in a range of
conversations & collaborations
2. Integrate & evaluate information presented in diverse
media & formats, including visually, quantitatively &
orally
3. Evaluate a speakers’ POV, reasoning, & use of evidence
& rhetoric
4. Present information appropriate to task , purpose &
audience
5. Make strategic use of media to enhance understanding
6. Adapt speech for a variety of contexts & tasks,
demonstrating a command of formal English
Common Core Standards- ELA
Language
1. Demonstrate command of standard English grammar when
writing or speaking
2. Demonstrate command of the conventions of standard
English when writing
3. Apply knowledge of language to understand its functions in
different contexts
4. Determine meaning of unknown $ multiple meaning words
using context clues, word parts or consulting appropriate
reference materials
5. Demonstrate understanding of figurative language, word
relationships, & nuances in meaning
6. Acquire & use accurately a range of general academic
words; demonstrate independence in gathering vocabulary
knowledge
“ We Are Numbers”
Pappas, Theoni, (1991)
Math Talk: Mathematical
ideas in poems in two
voices. P.13
San Carlos, CA: Wide
World Publishing
ISBN: 978-0-993174-74-8
Magic Numbers
Ball, Johnny (2005).
Go Figure! A totally cool
book about numbers.
NY: DK Publishing
Pages 29-31
ISBN: 978-0-7566-1374-7
Oldest Magic Square
Mathematical Practices: 1. Make Sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively (sixth grade).
Magic Squares
Birthday Square
Vocabulary Magic Square
• Similar to mathematical Magic Squares, this
activity requires students to match vocabulary
words to definitions. Each definition has a
number, and should the student match all
correctly, s/he will be able to figure the Magic
Number.
• Formative or summative assessment
• Self checking
And the Magic Number is __________
swap
row
Vocabulary
Prime
number
column
pi
sum
Yu the
Great
infinity
1. Indefinitely great number
2. A whole number that can only be
divided by one
3. Horizontal arrangement
4. Vertical arrangement
5. Collection of related words
6. Result of adding numbers
7. Switch or exchange
8. Invented the oldest magic square
9. Circumference of a circle divided by
the diameter
ELA Standards
addressed using
Go Figure and activities
• Silent Reading addresses Reading standards 1
&4
• Reading aloud can address Speaking/ listening
standards 2 or 4
• Magic Square Activity addresses Language
standards 3, 4, & 6
Ratio & Proportion
Schwartz, David (1999).If
you hopped like a frog
Illustrated by James
Warhola
NY: Scholastic
ISBN: 0-590-09857-8
Ratio and Proportions
• 6RP – Understand ratio concepts and
ratio reasoning to solve problems.
• 7RP – Analyze proportional relationships
and use them to solve real-world and
mathematical problems.
Solving word problems using Ratio and
Proportions
• Frogs are champion jumpers. 3-inch frog can
jump 60 inches. What is your length (your
height) in inches and how far can you jump?
Set up the proportion and solve.
Second part of the problem: If you could hop
like a frog, could you make it to first base in one
jump from home plate on a baseball field?
Hint: Home plate to first base is ninety feet.
Eagle Eyes
• Have you ever been called, “Eagle eyes” when you
spotted something partly concealed by another
object? How far can you see if you truly had “eagle
eyes”?
Background Information: Deep inside the eye on a surface called the
retina are many tiny cells called cones. The more cones the eye has the sharper the
vision. You have about 200,000 cones and an eagle has 1,000,000 cones.
You can spot a rabbit running about 300 meters away.
If you had eagle eyes how far could you spot a running
rabbit? Can you estimate your answer? What can you
see from that distance?
ELA Writing Activity
Other animals also have features and skills.
For example,
Koalas sleep 20 hours a day and spend only 4
minutes active
Emus have strongest legs
Cheetah is the fastest mammal
Rhinoceros beetle can lift 850 times own weight
Crocodiles have the strongest jaws/ bite force
Investigate an animal of your choice and develop a 2 page
story (with picture) using If you hopped like a frog as a
mentor text
ELA Standards addressed using
If you hopped like a frog
and activities
Reading standards 1, 2, 4, 5
Language standard 6
By adding the research/writing activity, the following are also
addressed
Writing standards 3, 7, 8, 10
Language standards 1 & 2
And if you have students present their research
Speaking/listening 2,4,5, &6
Ratios
Ellis, Julie (2010).
Pythagoras and the Ratios
Illustrated by
Phyllis Horning Peacock
Watertown, MA:
Charlesbridge
ISBN: 978-1-5709-776-9
Math Standard
• 8.G. Understand congruency and similarity
using physical models, transparencies, or
geometry software.
• 8.G. Solve real-world and mathematical
problems involving volume of cylinders, cones,
and spheres.
Math activity
• Making an instrument:
Pythagorean Ratios:
6
2 to 1
5
5 to 3
4
3 to 2
3
4 to 3
2
5 to 4
ELA standards addressed by using
Pythagoras and the Ratios and activities
Reading standards 1,3,4, & 9
Language standards 3,4,5 &6
Speaking/Listening standards1 & 2
Writing standard 9
“Proper Fractions”
Pappas, Theoni, (1991)
Math Talk: Mathematical
ideas in poems in two
voices.
Wide World Publishing
ISBN: 978-0-993174-74-0
Fractions
Brown, Emily Eating
Fractions: Math and
Writing Activities.
http://www.teacherspayte
achers.com/Product/Eatin
g-Fractions-214088
Eating Fractions
Math Standards
• CCMS – 6NS Apply and extend previous understandings
of multiplication and division of fractions by fractions.
Compute fluently with multi-digit numbers and
find common factors and multiples
Apply and extend previous understandings of
numbers to the system of rational numbers.
• CCMS – 7NS Apply and extend previous understanding
of operations with fractions to add, subtract, multiply,
and divide rational numbers.
Math activity
• A recipe for chocolate chip cookies makes 4
dozen cookies and calls for the following
ingredients:
• 1 ½ C. margarine
• 1 3/4 C. sugar
• 2 tsp. vanilla
• 3 1/4 C. flour
• 1 tsp. baking powder
• 1/4 tsp. salt
• 8 oz chocolate chips
Baking with Fractions
• How much is needed of each ingredient if you
were to use ¼ less of the measured
ingredient?
• How much of each ingredient would you need
to make 12 dozen cookies?
• How much of each ingredient would you need
to make ¾ of the recipe?
ELA Activity
Divide students into groups of 2 or 3
Provide each group with a different recipe
Have them work together to convert the recipe
Have them write & illustrate recipe cards
ELA Standards addressed by using
Eating Fractions and activities
Reading standards 1,4,5, & 7
Writing standards 2,4,6, &10
Language standards 1,2,4 & 6
Speaking/Listening standards 1,2,4,5
Other books
• The History of Counting – Denise Schmandt- Bessart
• Mathemagic Number Tricks – Lynda Colgan
• Millions, Billions, Trillions: Understanding Big
Numbers – David A. Adler
• Eating Fractions – Bruce McMillion
• Tyrannosaurus Math – Michele Markel
• A Place for Zero – Angeline Sparagnas LoPresti
• Fractions in Disguise – Edward Einhong
“Integers”
Pappas, Theoni, (1991)
Math Talk: Mathematical
ideas in poems in two
voices.
P. 52
Wide World Publishing
ISBN: 978-0-993174-74-0
Thompson, Lauren (2001)
One Riddle, One Answer
Illustrated by Linda
Wingerter
NY: Scholastic
ISBN: 0-590-31335-5
Standards
Math Practices (CCMS) –
1. Reason Abstractly and quantitatively.
2. Construct viable arguments and critique the
reasoning of others.
ELA standards addressed using
One Riddle, One Answer and activities
Reading addresses Reading standards 1,4,9, &
10 and Language standards 3,4,5,&6
Reading orally also addresses Speaking/Listening
Standard 2
In addition, discussing and completing the
combined math/ELA activity also addresses
Speaking/Listening standards 1,5, & 6,
Language standards 1 & 2 and Writing
standards 2,4,5,6,7,8, & 10
Math/ELA Activity
• Break into groups:
Group I : Farmer – Explain why the number
“1” is the answer to each line of the riddle;
numerically and in writing.
Group II: Scholar of Astronomy – Explain why
Aziza said, “A learned answer indeed, but that is not the answer”.
Describe mathematically and in writing why the
sun is not the answer and what line in the riddle
does the astronomer answer.
Math and ELA Activity, Cont.
Group III: Soldier – Explain why Aziza said, “You have given a strong
answer, but that is not the answer”.
Describe mathematically and in writing why the sword is not
the answer and what line in the riddle does the soldier answer.
Group IV: Merchant - Explain why Aziza said, “You have given a more
clever answer than my riddle, but money is not the answer”.
Describe mathematically and in writing why the sword is not
the answer and what line in the riddle does the merchant answer.
Patterns and Equations
“Fibonacci Numbers”
Pappas, Theoni,
(1991)Math Talk:
Mathematical ideas in
poems in two voices. P.26
Wide World Publishing
Patterns
Hulme , Joy, (2005).
Wild Fibonacci: Nature’s
secret code revealed.
Illustrated by Carol
Schwartz
Berkeley, CA: Tricycle
Press
ISBN: 978-1-58246-324-7
Math
• CCMS: 7EE Solve real-life and mathematical
problems using numerical and algebraic
expressions and equations.
• CCMS: 8.F. Define evaluate, and compare
functions
• CCMS: 6EE. Apply and extend previous
understandings of arithmetic to algebraic
expressions.
Math activity
Ways to have fun with Fibonacci!
(0,1,1,2,3,5,8,13,21,34,55,89, and so on)
• Count the number of pine needle bundles.
• Count the petals on a flower.
• Check out the leaves of corn plants, pussy
willows, and other trees.
• What about “equiangular spiral” such as
animal horns, claws, beaks,
The Golden Mean
“The Golden Mean”
Pappas, Theoni,
(1991)Math Talk:
Mathematical ideas in
poems in two voices. P.68
Wide World Publishing
ISBN: 978-0-993174-74-0
Golden Ratio
• What is PHI?
If you divide the length of the whole line by the
length of the long line section, you will get the
golden ratio of 1.618.
If you divide the long section by the length of the
short section you will get the same ratio.
• If you extend the length and width of your cell
phone to form right angles. Then divide the long
by the short, who has a cell phone that is a
golden rectangle? Is your tablet a golden
rectangle?
ELA standards addressed using
any combination of the books and activities
Reading standards 1,4,7,9 &10
Language standards 4,5,&6
Other patterns
Franco, Betsy (2008).
Bees, snails, & Peacock
tails
Illustrated by Steve
Jenkins
Simon & Schuster: NY
ISBN: 978-1-4169-0386-4
Math Standards
8.G Understand congruence and similarity using
physical models, transparencies, or geometry
software.
7.G. Draw, construct and describe geometric
figures and describe the relationship between
them.
6.G. Solve real-world and mathematical
problems involving area, perimeter, and volume.
Tessellation activity
• “Bees haven’t read the book, but they know
how to tessellate” (1998). Smart bees! So
why not a triangle, square, or something else?
• M. C. Escher became famous for_______?
• Islamic artist famous for ________ ?
• What regular geometric shapes can tessellate?
• Can irregular shapes tessellate? How do you
know?
Tessellate – shapes cover a surface
with no gaps in between
• Take a 2” square cut from cardstock paper.
• Cut a design from angle vertex to the
neighboring angle vertex.
• Slide directly across the square and attach.
• Cut a design from the ending angle vertex to
the neighboring angle vertex to the left.
• Slide directly across the square and attach.
• Will your design tessellate? (fabric crayons)
ELA Activity
poetry
ELA standards addressed using
Bees, snails, & peacock tails and activities
Reading standards 1,4,7,9,10
Language standards 1,2,3,4,& 5
Writing standards 3,4,5,6, & 10
By adding research and presentation components,
Writing standards 7,8,9 and Speaking/listening
standards 2,4,5, & 6 are also addressed
Table & Graphs
Guiberson,Brenda, (1991)
Cactus Hotel
Illustrated by Megan Lloyd
NY: Henry Holt & Co.
ISBN: 978-0-8050-1333-7
Math and ELA standards addressed using
Cactus Hotel and activities
• 6.SP Summarize and
describe distributions
• 7.SP Draw informal
comparisons about two
populations.
• 8.SP Investigate
patterns of association
in bivariate data.
Reading standards
1,3,4,&10
Language standards
3,4, & 5
Exponents
Birch, David (1988)
The King’s Chessboard
Illustrated by Devis Grebu
ISBN:014054880-7
Additional title
Demi (1997)
One grain of rice.
ISBN: 0-590-93998-x
Standards
• 7.E.E. Use properties of
operations to generate
equivalent expressions.
• Reading Standards 1,2,
9,& 10
• 8.E.E. Work with radical
and integer exponents
• Language standards
3,4,5, & 6
Other books
•
•
•
•
•
On Beyond a Million
Anno’s Magic Seeds
Growing Patterns
7 X 9 = Trouble
You Can Count on Monsters
Rhomboicosidodecahedron
Schwartz, David, (1998) G
is for Googol: A Math
Alphabet Book.
Berkeley, CA: Triangle
Press
Illustrated by Marissa
Moss
Pages 37-38
ISBN: 978-1-883-67258-4
Hexaflexagon
Ball, Johnny (2005).
Go Figure! A totally cool
book about numbers.
NY: DK Publishing
Pages 63
ISBN: 978-0-7566-1374-7
Thank you for attending
• Please fill out the evaluation form, thanks.
• The CEU Code number for this session is LB-81