amle 2014 nashville, tn november 6-8, 2014 dr. jody fernandez dr. karen lafferty morehead state...
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AMLE 2014Nashville, TN
November 6-8, 2014
Dr. Jody FernandezDr. Karen Lafferty
Morehead State University
INTEGRATING LITERATURE INTO MATH CLASS: LINKING TRADE BOOKS & CONTENT TO MEET THE STANDARDS
AMLE 2014-Session 18038
“ Mathematics”
Pappas, Theoni, (1991)Math Talk: Mathematical ideas in poems in two voices. P.9Wide 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 one-variable 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
Reading1. Read closely to determine key ideas and details2. Determine central ideas or themes. Analyze their
development3. Analyze how & why individuals, events, & ideas develop
& interact4. Interpret words & phrases5. Analyze the structure of text6. Assess how POV or purpose shapes content7. Integrate & evaluate diverse formats & media8. Delineate & evaluate argument & claims9. Analyze how two or more texts address similar themes & topics10. Read & comprehend text independently & proficiently
Common Core Standards - ELA
Writing1. Write arguments using valid reasoning &sufficient evidence2. Write informative/explanatory texts3. Write narratives4. Produce clear & coherent writing appropriate to task, purpose & audience5. Develop & strengthen writing by planning, revising, editing & rewriting6. Use technology 7. Conduct short & sustained research projects8. Gather relevant information from multiple credible sources & avoid
plagiarism9. Draw evidence from texts to support analysis, reflect, & research10. Write routinely over extended and short time periods for a range of tasks,
purposes, & audiences
Common Core Standards - ELA
Speaking and Listening1. Prepare for & participate effectively in a range of
conversations & collaborations2. Integrate & evaluate information presented in diverse
media & formats, including visually, quantitatively & orally3. Evaluate a speakers’ POV, reasoning, & use of evidence
& rhetoric4. Present information appropriate to task , purpose &
audience5. Make strategic use of media to enhance understanding6. Adapt speech for a variety of contexts & tasks,
demonstrating a command of formal English
Common Core Standards- ELALanguage
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 number2. A whole number that can only be
divided by one3. Horizontal arrangement4. Vertical arrangement5. Collection of related words6. Result of adding numbers7. Switch or exchange8. Invented the oldest magic square9. 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 legsCheetah is the fastest mammalRhinoceros beetle can lift 850 times own weightCrocodiles 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 activitiesReading standards 1, 2, 4, 5Language standard 6
By adding the research/writing activity, the following are also addressed
Writing standards 3, 7, 8, 10Language 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 PeacockWatertown, MA: CharlesbridgeISBN: 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 15 5 to 34 3 to 23 4 to 32 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.teacherspayteachers.com/Product/Eating-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 usingEating 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 usingOne Riddle, One Answer and activities
Reading addresses Reading standards 1,4,9, & 10 and Language standards 3,4,5,&6Reading orally also addresses Speaking/Listening Standard 2In 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.26Wide World Publishing
Patterns
Hulme , Joy, (2005).Wild Fibonacci: Nature’s secret code revealed.Illustrated by Carol SchwartzBerkeley, CA: Tricycle PressISBN: 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.68Wide 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 tailsIllustrated 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 usingBees, 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 usingCactus 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 standards3,4, & 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.
• 8.E.E. Work with radical and integer exponents
• Reading Standards 1,2, 9,& 10
• 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 MossPages 37-38ISBN: 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