Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.


Quarter 1
Quarter 2
Quarter 3
Quarter 4
Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.
Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.
Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.
Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.
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Illustrative Mathematics Project

Increasing Rigor

  • It’s field day at our school! Four classes must share the rectangular play area equally. Show different ways to share the field and describe the area using the word fourth. What other shape could the play area be to be shared equally with these four classes? Enrichment: Now six classes must share the same area. Show different ways to share the field. Show how to share with eight classes.
  • Jane went to two different birthday parties on the same day. At the first birthday party, the cake was a square and it was cut into fourths diagonally. At the second birthday party, the cake was the same sized square but it was cut into fourths horizontally. Jane says her piece of cake was bigger at the first party. Is she right? Use drawings to support your answer.
  • How many different ways can you cut a rectangle into fourths? Show me.
  • Your family is going on a vacation. You need to leave your dog at the dog care center. The dog care center is an exact square. Three other dogs will be at the dog care center with yoru dog. Create a place for your dog to have an equal amount of space to eat, sleep, and play. What does it look like? Draw your kennel.

About the Math

This standard is the first exposure to some fractional concepts. This experience should allow students to divide circles and rectangles into equal parts. It is not necessary to define these as fractions with a numerator and denominator. Instead the focus should be on the terms halves, thirds, and fourths. When we divide a circle into two, three, or four equal parts, they can be described by half, thirds, and fourths. Emphasize that it takes two halves, three thirds, and four fourths to make the circle or rectangle. Essential vocabulary for this standard includes: equal shares, whole, halves, thirds, and fourths (online dictionary, visual mathematics dictionary, HCPSS Vocabulary Cards).

The Illustrative Mathematics tasks below demonstrate the expectation for this standard.


Rich Tasks for Multiple Means of Engagement, Expression, and Representation (UDL)

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Teaching Student-Centered Mathematics, K-3

Shapecard BLM

Correct Shares (Van De Walle, K-3, p 257). Provide a variety of examples of circles and rectangles that are divided into equal parts and others that are divided into non-equal parts. Have students identify the wholes that are correctly divided into equal parts and those that are not. For each response, have students explain their reasoning. Also have students identify what one of those pieces is called and also describe the whole (ex-two halves, three thirds, four fourths).

  • Relate the face of a clock to a fraction circle to recognize quarters and halves. Also elicit from the students, that 25 cents is 1/4 of a dollar and 15 minutes is 1/4 of an hour.
  • Pattern blocks provide practice with halves, thirds, and sixths (when the hexagon represents the whole).
  • Use fraction bars, fraction factory or another manipulative to represent fractions.
  • Ask students to show that 4/4 = 1 whole. Have students discover that when the numerator and denominator are the same, the fraction represents one whole (2/2, 3/3, 6/6, 8/8).
  • Use Cuisenaire Rods to make a one-color rod train to show equivalent fractions.

Note: Students do not need to represent fractions with standard fraction notation (numerator/denominator)

Learnzillion Video Resources (4 Lessons)

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Select image for lesson set.



Additional Lesson Set from Learnzillion:

Print Resources:

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Hands On Standards (1-2)
Recognizing Fractions, pages 60-61
Identifying Simple Fractions, pages 62-63

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Roads to Reasoning- Grade 2
What's "Fair?" pages 20-21

Super Source for Tangrams, Grades K-2
Super Source for Tangrams, Grades K-2

SuperSource: Tangrams K-2
Same and Different pages
50-53

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SuperSource: Snap Cubes K-2
pages 62-65

Web Resources

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Games and Centers
Lessons
Student Resources
Video Segments
Thirteen Ways of Looking at Half
Online activity
Fractions Folded
Lesson plan
Thirteen Ways of Looking at HalfStudent Resource Page

Fraction Flags
Online activityhalves & quarters

It's a party!Pixie activity
Equal Shares Do Not Need to Be Equal Shapes
YouTube: Math with Mr. Almeida
Fraction Flags
Online activity
thirds
Varnelle's Introduction to Fraction
Lesson seeds
Fraction Barrier Game Gridstudent resource
Thirds
YouTube: Math with Mr. Almeida
Partition a Rectangle
2.G.3 Tasks
Public Schools of NC
see 2.G.3a-d
Geoboard HalvesPrintable center
Halves
YouTube: Math with Mr. Almeida

Half and Half
Inside Mathematics
Performance Task
Mr. Zed's Cakeprintable cente







r

Children's Literature:
Product Details
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Eating Fractions
Mc Millan

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Fraction Action
Loreen Leedy

Product Details
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Hershey's Milk Chocolate Fractions
Pallata

Product Details
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Give Me Half
Stuart Murphy

Product Details
Product Details

Only One, Marc Harshman









Questions/Comments:
Contact John SanGiovanni at jsangiovanni@hcpss.org.


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Howard County Public Schools Office of Elementary Mathematics Curricular Projects has licensed this product under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.