amle 2014 nashville, tn november 6-8, 2014 dr. jody fernandez dr. karen lafferty morehead state...

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