Common Core: 3rd Grade Math : Reason with Shapes and their Attributes

Study concepts, example questions & explanations for Common Core: 3rd Grade Math

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Example Questions

Example Question #21 : Reason With Shapes And Their Attributes

What fraction of the rectangle is blue? 


5

Possible Answers:

Correct answer:

Explanation:

The rectangle is split up into  equal parts.  of the parts are shaded blue, which means  of the rectangle is blue. 

Example Question #22 : Reason With Shapes And Their Attributes

What fraction of the rectangle is blue? 


1

Possible Answers:

Correct answer:

Explanation:

The rectangle is split up into  equal parts.  of the parts are shaded blue, which means  of the rectangle is blue. 

Example Question #21 : Understand Shape Categories: Ccss.Math.Content.3.G.A.1

Are all parallelograms squares?

Possible Answers:

Yes

No

Correct answer:

No

Explanation:

Not all parallelograms are squares because a square has to have  equal sides, and a parallelogram does not have to have  equal sides. A parallelogram has  sides with each pair of opposite sides being parallel. So all squares are parallelograms, but not all parallelograms are squares.

Example Question #21 : Reason With Shapes And Their Attributes

Which of the following best describes this shape? Select the best answer.

Square

Possible Answers:

It is a parallelogram.

It is a square.

It is a square, a rectangle, a parallelogram, and a quadrilateral.

It is a rectangle. 

It is a quadrilateral.

Correct answer:

It is a square, a rectangle, a parallelogram, and a quadrilateral.

Explanation:

This shape is a square because it has  equal side lengths. But, it can also be categorized as all of the shapes listed. 

A square can be categorized as a quadrilateral because by definition a quadrilateral is a -sided figure, and a square has  sides. 

A square can be categorized as a parallelogram because a parallelogram has to have  sides with opposite sides being parallel, and a square has  sides with opposite sides being parallel. 

A square can be categorized as a rectangle because rectangles have to have all  angles, and a square has all  angles.

Example Question #1 : Find Area By Partitioning Shapes Into Equal Parts: Ccss.Math.Content.3.G.A.2

What area of the rectangle is filled in? 

5 8 rectangle

Possible Answers:

Correct answer:

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into  pieces and  of those pieces are filled in.

 of the area of this rectangle is filled in.   

Example Question #1 : Find Area By Partitioning Shapes Into Equal Parts: Ccss.Math.Content.3.G.A.2

What area of the rectangle is filled in?

2 6 rectangle

Possible Answers:

Correct answer:

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into  pieces and  of those pieces are filled in.

 of the area of this rectangle is filled in.   

Example Question #1 : How To Find The Area Of A Parallelogram

What area of the rectangle is filled in?


7 12 rectangle

Possible Answers:

Correct answer:

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into  pieces and  of those pieces are filled in.

 of the area of this rectangle is filled in.   

Example Question #1 : Find Area By Partitioning Shapes Into Equal Parts: Ccss.Math.Content.3.G.A.2

What area of the rectangle is filled in?

1 2 rectangle

Possible Answers:

Correct answer:

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into  pieces and  of those pieces is filled in.

 of the area of this rectangle is filled in.   

Example Question #1 : Find Area By Partitioning Shapes Into Equal Parts: Ccss.Math.Content.3.G.A.2

What area of the rectangle is filled in?


8 12 rectangle

Possible Answers:

Correct answer:

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into  pieces and  of those pieces are filled in.

 of the area of this rectangle is filled in.   

Example Question #1 : Find Area By Partitioning Shapes Into Equal Parts: Ccss.Math.Content.3.G.A.2

What area of the rectangle is filled in?

2 4 rectangle

Possible Answers:

Correct answer:

Explanation:

Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into  pieces and  of those pieces are filled in.

 of the area of this rectangle is filled in.   

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