#### MAT-02.G.03

2nd (MAT) Targeted Standard
(G) Domain: Geometry
Cluster: Reason with shapes and their attributes

## Student Learning Targets:

### Knowledge Targets

• can identify one-half, one-fourth, and one-third shaded parts.

### Reasoning Targets

• I can understand that the same shape can be divided into equal parts in different ways.

### Skills (Performance) Targets

• I can divide circles and rectangles into 2,3,and 4 equal parts in different ways.
• I can use the words halves, thirds, fourths, and half of to describe the equal parts.
• I can describe one whole as being 2 halves, 3 thirds, and 4 fourths.

## Proficiency Scale

##### 1 Beginning
... with help, demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content).
Start

##### 2 Developing
... demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content).
• The student will recognize or recall specific terminology, such as:
• Equal shares, halves, thirds, fourths, whole, divide, smaller shares, part
• The student will perform basic processes, such as:
• Partition circles and rectangles into halves.
• Describe an equally partitioned whole as equal shares.

##### 3 Proficient
“The Standard.”
... demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations.
• 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 describes the whole as two halves, three thirds, four fourths,
• Recognize that identical wholes can be equally divided in different ways.
• Demonstrate an understanding that partitioning shapes into more equal shares creates smaller shares.

... demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations.
• Compare and contrast halves, thirds, and fourths of rectangle or circle. Justify how two different ways to partition a rectangle result in equal piece sizes.
• Apply knowledge of halves, thirds, and fourths to partition 3-D shapes using geoblocks.

## Scoring Rubric

 Score Description Sample Activity 4.0 Student is able to partition shapes into parts with equal areas; express the area of each part as a unit fraction of the whole; determine if fractions are equivalent; and use models to prove if fractions are greater than/less than another. I can write a fraction to represent the shaded portion of a shape. I can represent a fraction using models or pictures. I can explain why fractions are equivalent. I can use pictures/models to prove if a fraction is greater than/less than another fraction. - 3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. 3.0 Student is able to partition circles and rectangles into two, three, and four equal parts without error; use the words halves, thirds, fourths; and recognize equal shares of identical wholes can have different shapes. I can divide shapes into 2, 3, and 4 equal parts in more than one way with no mistakes. I can use the words halves, thirds, and fourths to describe the equal parts. - 2.5 No major errors or emissions regarding 2.0 content and partial knowledge of the 3.0 content. 2.0 Student is able to divide shapes/pictures into halves and fourths in more than one way without error. I can divide shapes into 2 and 4 equal parts in different ways with no mistakes. I can use the words halves and fourths to describe the equal parts. - 1.5 In addition to 1.0 content, student has partial knowledge of the 2.0 and/or 3.0 content. 1.0 Student is able to identify shapes that have 1/2 and 1/4 parts shaded without error. I can identify shapes/pictures that show 1/2 and 1/4 with no mistakes. - 0.5 Limited or no understanding of the skill is demonstrated.

## Resources

### Vocabulary

 partition / divide equal shares / parts whole one half one fourth one third half of third of fourth of halves thirds fourths two halves three thirds four fourths

### Websites

• Links to sites that open in a new window