Jennifer E. Wilson, 2020...Jennifer E. Wilson, 2020 Jennifer E. Wilson, 2020 •Find your way through the maze of mixed numbers and whole numbers by subtracting either 1 2/3 or 2 ¾

Jennifer E. Wilson, 2020


It starts early…

Did you know…

• First and second grade geometry standards lay the foundation for fraction concepts and skills?

• Partitioning circles and rectangles into two, three, or four equal shares, describing the shares using the words halves, thirds, half of, a third of, etc., and describing the whole as two halves, three thirds, four fourths; Recognizing that equal shares of identical wholes need not have the same shape is a 2nd grade geometry skill.

• Converting fractions into decimals and percent starts in the 4th grade

• Fractions help children have a better understanding of division, ratios, proportions


Grade 3: Using partitioned shapes to recognize unit fractions; develop understanding of fractions as numbers

Grade 4: Build fractions from unit fractions

Grade 5: Begin to add, subtract, multiply, and divide fractions with like, unlike denominators

Grade 6: Understanding ratio and proportional relationships

MATH IS FOUNDATIONAL!



“So why am I on this fractions kick? Well, I’ve come to this position because of the following experiences:

Virtually every time I ask teachers of algebra what they wish their incoming students knew, their response is "fractions." The results of this informal polling were recently validated in the National Survey of Algebra

Teachers compiled by the National Opinion Research Center at the University of Chicago for the National Mathematics Advisory Panel of the U.S. Department of Education.

I recently asked fifth-grade students to tell me where to place the fraction 9/5 on a number line. One student informed that I couldn’t do that because the "top number" was more than 5, and the number line went only to

1.

I used to ask my preservice teacher candidates to use models to represent particular fractions or operations involving fractions, with the following restriction: they could not use pizza in their representations. Circular

regions are far too dominant as representations of fractions (whether they involve cheese or pepperoni pizza).”

NCTM News Bulletin, December 2007


Fraction Vocabulary, Concepts


• Expect them to use correct math language, vocabulary

• Have them explain their thinking and justify their answers

• One, two, three for problem solving

• Sentence starters … https://www.teacherspayteachers.com/Product/Math-Sentence-Starters-Editable-4354801 (FREE)

• Teach them to agree/disagree respectfully

• Let them #mathdebate (Chris Luzniak: https://www.luzniak.com/debate-resources.html )

https://www.teacherspayteachers.com/Product/Math-Sentence-Starters-Editable-4354801

https://www.luzniak.com/debate-resources.html


Credit: TPT: 4th Grade Fractions:

Decomposition and Equivalence;

Principal Practice (FREE)


Credit: TPT: 4th Grade Fractions:

Decomposition and Equivalence;

Principal Practice (FREE)


Credit: https://wodb.ca/shapes.html

Which one

doesn’t

belong?

https://wodb.ca/shapes.html

• Learning occurs when conceptual understanding takes place

• Build the house from the basement up and don’t take shortcuts

• Engage, engage, engage!



Activities for Progressive Learning

Lessons and ideas should build conceptual learning.

Always take your students from

Concrete-to-Representational-to-Abstract

• Exploration leads to a-ha!

• Manipulatives have a purpose

• Cooperative learning teaches more than math

• Hands-on learning = meaningful, ownership

Classpad.net

• Lots of possibilities for many math skills

• Students and teachers will (should) love it!

• Practice and/or teaching tool


Brainingcamp Virtual Manipulatives

• www.brainingcamp.com

• Click REDEEM

• Use code: WILSON20

• Valid through 12/31/20; good for entire class

Move from the hands-on to the representational with fun software!

https://classpad.net/classpad/use-as-guest?login=true

http://www.brainingcamp.com/


• Calculator

• Graphing

• Geometry

• Data

• Sequence

• Financial*

• Notes

https://classpad.net/classpad/use-as-guest?login=true


• Algebra Tiles

• Geoboard

• XY Coordinate Board

• Fraction Tiles

• Pattern Blocks

• Linking Cubes

http://www.brainingcamp.com/

• Prove to me why ½ is equal to 3/6, 4/8, 5/10, and 6/12?

• John has run 1/5 of a mile and Sara has run 2/8 of a mile. Who has run the furthest? (Compare these fractions by making the numerator the same.)

• John and Sara are saving their money for a field trip. So far John has saved ¼ of what he needs, and Sara has saved 3/8 of what she needs. Who has saved the most? (Compare these by making the denominator the same.)


• How many different ways can you decompose 2 7/8?

• Sara rode 6/8 of a mile. John rode 5/8 of a mile. How far have they ridden together?

• Janine has 3/4 of a pan of brownies sitting on the counter. You decided to eat 1/3 of the brownies in the pan. How much of the whole pan of brownies did you eat?

The questions can continue to be used

depending on the grade level standard.


When you have high expectations, the students will rise to meet them!

When you make it fun, the children forget they are learning.



A fun activity is way better than a busy worksheet any day!

• Situation 1

• Max ordered 4 pizzas and his brother ate 2/3 of one of them. How many friends can Max invite to share the remaining pizza if each friend eats 1/3 of a pizza?

• CREDIT: Casio Ed Workbook Series

The Great Pizza Caper

– 4.NSF.3 Develop an understanding of addition and

subtraction of fractions (i.e., denominators 2, 3, 4,

5, 6, 8, 10, 12, 25, 100) based on unit fractions.

• Situation 2

• Max ordered 5 pizzas and his sisters ate 1 1/4 pizzas. How many friends can Max invite to share the remaining pizza if each friend eats ¼ of a pizza?

• Situation 3

• Max ordered 6 pizzas each cut into 16 pieces, and his cousins ate 10 pieces. How many friends can Max invite to share the remaining pizza if each friend eats 1/8 of a pizza?


•Take turns with a partner and circle two boxes of your choice. Find the sum of your choices. Record the answer as a score. Continue playing until all of the boxes have been chosen. The player with the highest total score wins.

•And the Winner Is…

– 5.NSF.1 Add and subtract fractions with unlike denominators (including mixed numbers) using a variety of models, including an area model and number line.

• Extension: have the students create their own game boards depending on what they have learned or how challenging they want it to be!




•Find your way through the maze of mixed numbers and whole numbers by subtracting either 1 2/3 or 2 ¾ to get from one number to the next. You can move up, down, right, left, or diagonally. You cannot use a path more than once. Good luck and have fun!

•4.NSF.3 Develop an understanding of addition and subtraction of fractions (i.e., denominators 2, 3, 4, 5, 6, 8, 10, 12, 25, 100) based on unit fractions.



• Versa Tiles


Great for station rotations,

substitute plans, review

activity, and/or

remediation/enrichment!


• More than Half! (dice)

• Dominoes

• Fraction Dominoes

• Comparing Fractions (cards/dice)

• Tangrams https://www.k5learning.com/blog/oh-endless-math-possibilities-tangrams

https://www.k5learning.com/blog/oh-endless-math-possibilities-tangrams

How do I assess the fun?

• Fraction Think Dots• https://www.lcps.org/cms/lib/VA01000195/Centricity

/Domain/5581/Think%20Dots%20Fractions.pdf• http://learningclassrooms.pbworks.com/f/Think+Dots

+Overview+Packet.pdf (Pg. 3, 4)

• Fraction Number Line (Pre and Post Assessment)


https://www.lcps.org/cms/lib/VA01000195/Centricity/Domain/5581/Think Dots Fractions.pdf

http://learningclassrooms.pbworks.com/f/Think+Dots+Overview+Packet.pdf

Graham Fletcher’s How Much Dew?vs adding, subtracting fractions

worksheetJennifer E. Wilson, 2020

Graham Fletcher’s 3-Act

Tasks (Dan Meyer,

Robert Klapinski)


Open Middle Problem vs

Adding Mixed Numbers

worksheet


Remember:

• you are laying the foundation for future teachers!

• TEACH UP!

Documents

Jennifer E. Wilson, 2020...Jennifer E. Wilson, 2020 Jennifer E. Wilson, 2020 •Find your way through the maze of mixed numbers and whole numbers by subtracting either 1 2/3 or 2 ¾