Figure 1 NCTM Standards and Prototypes of Fourth-Grade Assessment Tasks

 

 

Hog Game

Towers

Bears

Lightning

Taxman

How Many Buttons?

Quilt Designer

Point of View

BowlAFact

Hexarights

Bridges

Checkers Tournament

Mystery Graphs

K-4 Standards

 

1.

Problem Solving

X

X

X

X

X

X

X

X

X

X

X

X

X

2.

Mathematics as Communication

X

X

X

X

X

X

X

X

X

X

X

X

X

3.

Mathematics as Reasoning

X

X

X

X

X

X

X

X

X

X

X

X

X

4.

Mathematical Connections

X

X

X

X

X

X

X

X

X

X

X

X

X

5.

Estimation

X

 

X

X

 

X

 

X

 

X

X

 

X

6.

Number Sense and Numeration

X

X

X

X

X

X

 

 

X

X

X

X

X

7.

Concepts of Whole Number Operations

X

 

X

X

X

X

 

 

X

X

X

X

 

8.

Whole Number Computation

X

X

X

X

X

X

 

 

X

X

X

X

 

9.

Geometry and Spatial Sense

 

X

 

X

 

 

X

X

 

X

X

 

 

10.

Measurement

 

X

X

X

 

 

 

 

 

X

X

 

X

11.

Statistics and Probability

X

X

X

 

X

X

 

 

 

 

 

X

X

12.

Fractions and Decimals

X

 

 

X

 

X

 

 

X

 

 

 

 

13.

Patterns and Relationships

X

X

X

X

X

X

X

X

X

X

X

X

X

*14.

Discrete Mathematics

X

X

X

 

 

 

 

 

 

 

 

X

 

*15.

Algebra

 

 

 

 

 

 

 

 

 

 

X

 

 

*16

Proof

X

X

 

 

X

 

 

 

 

X

 

 

X

 

*Note: these are not K-4 NCTM Standards.


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