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# 3rd Grade - Fractions

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by

Tweet## Kayla Woods

on 22 October 2012#### Transcript of 3rd Grade - Fractions

By Kayla Woods and Emily Chandler Fractions Fractions in third grade have two primary objectives!

1. The first objective is to review the uses of fractions and fraction notation.

2. The second is to help children develop a solid understanding of equivalent fractions. - Use manipulatives to solve problems involving fractional parts of collections.

- Identify equivalent halves and fourths of a shaded region.

- Use shaded regions to compare fractions.

- Use equal sharing to solve fractional part-of-a-collection problems Students will learn and practice by... * Practice multiplication and division facts with fact triangles.

* Practice and maintain skills through math boxes.

* Review fractions as names for parts of regions.

* Review fractions as names for parts of sets

* Use fractions to name parts of regions and sets. Overview of fractions in 3rd grade! 1 Part 1: Naming parts with fractions 2 Focus: Naming parts with Fractions 3 Part 2: Exploring Fractions, Re-Forming Squares, and Combinations Objective: To provide opportunities to explore fractional relationships, spatial relationships, and combinations Key concepts and skills: Six Main areas of focus for fractions, in 3rd grade are... 1. Explore fractional and spatial relationships.

2. Introduce the number like for fractions.

3. Find equivalent fractions.

4. Compare fractions using regional models.

5. Name quantities greater than 1 with fractions and mixed numbers.

6. Solve number stories involving fractions. Objective: Students will use fractions to name a of b equal parts - Solve problems involving fractional parts of a collection.

- Identify the fractional part one shape is of another.

- Explore polygon relationships by constructing figures from polygons.

- Use patterning rules to find all possible combinations of pants and socks Key concepts and skills: Focus: Exploring Fractions, Re-Forming Squares, and Combinations Students will learn and practice through... Part 3: Number-Line Posters for Fractions - Identify fractions on a number line.

- Compare fractions using a number-line model. Part 4: Equivalent Fractions Objective: To guide children as they find equivalent fractions Examples of tables students will make to show equivalent fractions Part 5: Comparing fractions Objective: To guide children as they compare fractions using region models Part 6: Fractions greater than one Objective: To demonstrate naming quantities greater than 1 with fractions and mixed numbers - Playing multiplication Bingo to practice multiplication facts

- Practice and maintain skills through Math Boxes and Home Link activities.

- Work with one another to take apart and put together squares.

- Work with pattern-block shapes to understand fractions of regions.

- Work with tangrams to make a variety of shapes, and understand the smaller shapes that make up a larger shape like a hexagon. Key concepts and skills: Students will learn and practice by... - Solving Frames-and-Arrows problems

- Practice and maintain skills through math boxes and home link activities. Objective: To introduce the number line as a model for fractions Key concepts and skills: - Read and write fractions.

- Represent, identify and generate equivalent fractions using manipulatives and drawings Students will learn and practice through... - Children will play a block-drawing game which involves matching equivalent fractions.

- Identify fractions of regions and sets through shading fractions and identify equivalent fractions this way. Common core standard: Numbers and Operations- Fractions 3.NF

Develop understanding of fractions as numbers

part 1: Understand a fraction 1/b as the quantity formed by 1 part when a

whole is partitioned into b equal parts; understand a fraction a/b as

the quantity formed by a parts of size 1/b. PDE standard: M3.A.1.2.1: Write the fraction that corresponds to a drawing or part of a set PDE Standard: M3.A.1.2.1: Write the fraction that corresponds to a drawing or part of a set Common Core Standard: Numbers and Operations-Fractions 3.NF.3.D

Compare two fractions with the same numerator or the same

denominator by reasoning about their size. PDE Standard: M3.A.1.2.2: Create a drawing or set that represents a given fraction

Common Core Standard: Numbers and Operations - Fractions 3.NF.2

Understand a fraction as a number on the number line; represent

fractions on a number line diagram.

a. Represent a fraction 1/b on a number line diagram by defining the

interval from 0 to 1 as the whole and partitioning it into b equal

parts. Recognize that each part has size 1/b and that the endpoint

of the part based at 0 locates the number 1/b on the number line.

b. Represent a fraction a/b on a number line diagram by marking off

a lengths 1/b from 0. Recognize that the resulting interval has size

a/b and that its endpoint locates the number a/b on the number

line. PDE Standard: M3.A.1.2.1: Write the fraction that corresponds to a drawing or part of a set

Common Core Standard: Numbers and Operations - Fractions 3.NF.3

Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. 4 Example of Review at the beginning of the lesson Example of solving fraction problems in 8.2 Use pattern blocks as manipulatives to help solve fractions in shapes! Examples of making a number-line poster for Fractions! Use this: To make this: Students are learning to read fractions

Students are beginning to compare fractions to 1/2.

Example: students use fraction cards that display; 1/2, 1/4, 1/8, 4/8, 4/5, etc. and students help find all of the cards that are less than 1/2.

* Students compare fractions and determine their difference.

* Students begin using an area model to compare fractions.

* Students are comparing and ordering fractions PDE Standard: M3.A.1.2.1:

Write the fraction that corresponds to a drawing or part of a set (numerators 1-9, denominators 2-10. No equivalent or improper fractions or mixed numbers) Common Core standard 3.NF.3:

Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Examples of how students will compare fractions * Students learn to shade fractional parts of regions to represent fractions greater than 1.

* Students Model and name mixed numbers and fractions

* Students Identify equivalent fractions

* Students use lines of symmetry to divide figures into equal parts PDE Standard:

M3.A.1.2.2: Create a drawing or set that represents a given fraction (numerators 1-9, denominators 2-10. No equivalent or improper fractions or mixed numbers).

Common Core Standard:

3.NF: Develop understanding of fractions as numbers. Part 7: Fractions in number stories Objective: To provide experiences with solving number stories involving fractions Examples of Fractions in Number Stories * Students Describe solution strategies for solving fraction number stories * Students Measure and draw a line segment to the nearest ¼ inch. Example: Andy bought 24 stamps for his stamp collection. ¾ of the stamps were from the United States. How many stamps were from the United States? 18 stamps

Possible solution strategy: Take 24 counters or coins and divide them into 4 equal sets. Each set consists of 6 counters and is ¼ of the total, so ¼ of 24=6. Three sets consist of 18 counters and are ¾ of the total, so ¾ of 24=18. * Students Use fraction cards to compare fractions * Students use pennies, counters or pictures to solve fraction number stories Example of showing fractions greater than 1 PDE Standard:

M3.A.1.2.2: Create a drawing or set that represents a given fraction (numerators 1-9, denominators 2-10. No equivalent or improper fractions or mixed numbers).

Common Core Standard:

3.NF.2: Understand a fraction as a number on the number line; represent

fractions on a number line diagram. Other Examples of Manipulatives for Fractions!

Full transcript1. The first objective is to review the uses of fractions and fraction notation.

2. The second is to help children develop a solid understanding of equivalent fractions. - Use manipulatives to solve problems involving fractional parts of collections.

- Identify equivalent halves and fourths of a shaded region.

- Use shaded regions to compare fractions.

- Use equal sharing to solve fractional part-of-a-collection problems Students will learn and practice by... * Practice multiplication and division facts with fact triangles.

* Practice and maintain skills through math boxes.

* Review fractions as names for parts of regions.

* Review fractions as names for parts of sets

* Use fractions to name parts of regions and sets. Overview of fractions in 3rd grade! 1 Part 1: Naming parts with fractions 2 Focus: Naming parts with Fractions 3 Part 2: Exploring Fractions, Re-Forming Squares, and Combinations Objective: To provide opportunities to explore fractional relationships, spatial relationships, and combinations Key concepts and skills: Six Main areas of focus for fractions, in 3rd grade are... 1. Explore fractional and spatial relationships.

2. Introduce the number like for fractions.

3. Find equivalent fractions.

4. Compare fractions using regional models.

5. Name quantities greater than 1 with fractions and mixed numbers.

6. Solve number stories involving fractions. Objective: Students will use fractions to name a of b equal parts - Solve problems involving fractional parts of a collection.

- Identify the fractional part one shape is of another.

- Explore polygon relationships by constructing figures from polygons.

- Use patterning rules to find all possible combinations of pants and socks Key concepts and skills: Focus: Exploring Fractions, Re-Forming Squares, and Combinations Students will learn and practice through... Part 3: Number-Line Posters for Fractions - Identify fractions on a number line.

- Compare fractions using a number-line model. Part 4: Equivalent Fractions Objective: To guide children as they find equivalent fractions Examples of tables students will make to show equivalent fractions Part 5: Comparing fractions Objective: To guide children as they compare fractions using region models Part 6: Fractions greater than one Objective: To demonstrate naming quantities greater than 1 with fractions and mixed numbers - Playing multiplication Bingo to practice multiplication facts

- Practice and maintain skills through Math Boxes and Home Link activities.

- Work with one another to take apart and put together squares.

- Work with pattern-block shapes to understand fractions of regions.

- Work with tangrams to make a variety of shapes, and understand the smaller shapes that make up a larger shape like a hexagon. Key concepts and skills: Students will learn and practice by... - Solving Frames-and-Arrows problems

- Practice and maintain skills through math boxes and home link activities. Objective: To introduce the number line as a model for fractions Key concepts and skills: - Read and write fractions.

- Represent, identify and generate equivalent fractions using manipulatives and drawings Students will learn and practice through... - Children will play a block-drawing game which involves matching equivalent fractions.

- Identify fractions of regions and sets through shading fractions and identify equivalent fractions this way. Common core standard: Numbers and Operations- Fractions 3.NF

Develop understanding of fractions as numbers

part 1: Understand a fraction 1/b as the quantity formed by 1 part when a

whole is partitioned into b equal parts; understand a fraction a/b as

the quantity formed by a parts of size 1/b. PDE standard: M3.A.1.2.1: Write the fraction that corresponds to a drawing or part of a set PDE Standard: M3.A.1.2.1: Write the fraction that corresponds to a drawing or part of a set Common Core Standard: Numbers and Operations-Fractions 3.NF.3.D

Compare two fractions with the same numerator or the same

denominator by reasoning about their size. PDE Standard: M3.A.1.2.2: Create a drawing or set that represents a given fraction

Common Core Standard: Numbers and Operations - Fractions 3.NF.2

Understand a fraction as a number on the number line; represent

fractions on a number line diagram.

a. Represent a fraction 1/b on a number line diagram by defining the

interval from 0 to 1 as the whole and partitioning it into b equal

parts. Recognize that each part has size 1/b and that the endpoint

of the part based at 0 locates the number 1/b on the number line.

b. Represent a fraction a/b on a number line diagram by marking off

a lengths 1/b from 0. Recognize that the resulting interval has size

a/b and that its endpoint locates the number a/b on the number

line. PDE Standard: M3.A.1.2.1: Write the fraction that corresponds to a drawing or part of a set

Common Core Standard: Numbers and Operations - Fractions 3.NF.3

Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. 4 Example of Review at the beginning of the lesson Example of solving fraction problems in 8.2 Use pattern blocks as manipulatives to help solve fractions in shapes! Examples of making a number-line poster for Fractions! Use this: To make this: Students are learning to read fractions

Students are beginning to compare fractions to 1/2.

Example: students use fraction cards that display; 1/2, 1/4, 1/8, 4/8, 4/5, etc. and students help find all of the cards that are less than 1/2.

* Students compare fractions and determine their difference.

* Students begin using an area model to compare fractions.

* Students are comparing and ordering fractions PDE Standard: M3.A.1.2.1:

Write the fraction that corresponds to a drawing or part of a set (numerators 1-9, denominators 2-10. No equivalent or improper fractions or mixed numbers) Common Core standard 3.NF.3:

Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Examples of how students will compare fractions * Students learn to shade fractional parts of regions to represent fractions greater than 1.

* Students Model and name mixed numbers and fractions

* Students Identify equivalent fractions

* Students use lines of symmetry to divide figures into equal parts PDE Standard:

M3.A.1.2.2: Create a drawing or set that represents a given fraction (numerators 1-9, denominators 2-10. No equivalent or improper fractions or mixed numbers).

Common Core Standard:

3.NF: Develop understanding of fractions as numbers. Part 7: Fractions in number stories Objective: To provide experiences with solving number stories involving fractions Examples of Fractions in Number Stories * Students Describe solution strategies for solving fraction number stories * Students Measure and draw a line segment to the nearest ¼ inch. Example: Andy bought 24 stamps for his stamp collection. ¾ of the stamps were from the United States. How many stamps were from the United States? 18 stamps

Possible solution strategy: Take 24 counters or coins and divide them into 4 equal sets. Each set consists of 6 counters and is ¼ of the total, so ¼ of 24=6. Three sets consist of 18 counters and are ¾ of the total, so ¾ of 24=18. * Students Use fraction cards to compare fractions * Students use pennies, counters or pictures to solve fraction number stories Example of showing fractions greater than 1 PDE Standard:

M3.A.1.2.2: Create a drawing or set that represents a given fraction (numerators 1-9, denominators 2-10. No equivalent or improper fractions or mixed numbers).

Common Core Standard:

3.NF.2: Understand a fraction as a number on the number line; represent

fractions on a number line diagram. Other Examples of Manipulatives for Fractions!