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# Levels – FLO

Floating And Sinking

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Levels Of Conceptualization And Related Knowledge

Levels Of Conceptualization: Coordination Of Roles Of Object And Immersion Liquid

- Representation of the phenomenon that does not incorporate the properties of both object and liquid
- Representation of the phenomenon that incorporates the properties of both object and liquid
- Representation of the Phenomenon in terms of density of the object but not incorporating density of the immersion liquid.
- Representation of the Phenomenon in terms of density of the object and density of the immersion liquid.
- Representation of the Phenomenon in terms of an unspecified or incorrect relationship between the density of the object and the density of the immersion liquid.
- Representation of the phenomenon in terms of a correct mathematical relationship between densities [i.e. An object will float if its density is less than the density of the fluid in which it is immersed]

Related Knowledge

`K2′ – Knowledge Related to Floating and Sinking (FLO)

**#1-Measurement of Weight:**

- [0] DOES NOT FORMALLY MEASURE WEIGHT
- [1] USES MEASUREMENT INSTRUMENT
- [2] USES MEASUREMENT INSTRUMENT CORRECTLY AND EXPRESSES THE UNITS OF MEASUREMENT CORRECTLY

**#2- Volume — Nominal Knowledge**

- [0] DOES NOT SPONTANEOUSLY USE THE TERM `VOLUME’
- [1] SPONTANEOUSLY USES THE WORD `VOLUME’

**#3- Measurement of Volume – Solid**

- [0] DOES NOT FORMALLY MEASURE VOLUME OF SOLIDS
- [1] USES AN INSTRUMENT TO MEASURE VOLUME OF SOLIDS
- [2] USES A CORRECT FORMULA TO MEASURE VOLUME OF SOLIDS

**#4- Measurement of Volume – Liqui**d

- [0] DOES NOT FORMALLY MEASURE VOLUME OF LIQUIDS
- [1] USES AN INSTRUMENT TO MEASURE VOLUME OF LIQUIDS
- [2] USES A CORRECT FORMULA TO MEASURE VOLUME OF LIQUIDS
- `K2′ – Knowledge Related to Floating and Sinking

**#5-Knowledge of Ratio – Nominal**

- [0] DOES NOT SPONTANEOUSLY USE THE TERM `RATIO’
- [1] SPONTANEOUSLY USES THE TERM `RATIO’

**#6-Knowledge of Ratio – Functional**

- [0] DOES NOT FORMULATE RATIOS
- [1] FORMULATES RATIOS

`K2′ – Knowledge Related to Floating and Sinking

**#7-Knowledge of Proportions – Nominal**

- [0] DOES NOT SPONTANEOUSLY MENTION `PROPORTIONS’
- [1] SPONTANEOUSLY USES THE TERM `PROPORTION/S’

**#8-Knowledge of Proportions – Functional**

- [0] DOES NOT FORMULATE PROPORTIONS
- [1] FORMULATES PROPORTIONS

D2 – Floating and Sinking (FLO) continued

**#9. Density of the Object**

- [0] NO CONCEPT OF DENSITY APPLIED TO TASK OBJECTS
- [1] INTUITIVE NOTION OF DENSITY (This is typically expressed by subjects as `weight’ but is actually s an undifferentiated amalgam of mass and volume)
- [2] MASS AND VOLUME DIFFERENTIATED BUT INADEQUATELYU CONCEPTUALIZED (mass is typically expressed as `weight’ and volume as `size’ or `surface area’)
- [3] MASS AND VOLUME DIFFERENTIATED AND ADEQUATELY CONCEPTUALIZED
- [4] MASS AND VOLUME INTEGRATED AS ATTRIBUTES OF OBJECTS BUT NOT EXPRESSED MATHEMATICALLY
- [5] RELATIONSHIP OF MASS AND VOLUME EXPRESSED MATHEMATICALLY BUT NOT AS A RATIO
- [6] RELATIONSHIP OF MASS AND VOLUME CONCEPTUALIZED AS A RATIO
- [7] DENSITIES OF OBJECTS CALCULATED AS RATIOS OF MASS AND VOLUME

D2 – Floating and Sinking (FLO) continued

**#10 Density of the Liquid**

- [0] NO CONCEPT OF DENSITY APPLIED TO TASK LIQUIDS
- [1] INTUITIVE NOTION OF DENSITY (This is typically expressed by subjects at this level as `weight’ but is actually is an undifferentiated amalgam of mass and volume)
- [2] MASS AND VOLUME DIFFERENTIATED (mass is typically expressed by subjects at this level as `weight’ and volume as `size’)
- [3] MASS AND VOLUME INTEGRATED AS ATTRIBUTES OF LIQUIDS BUT NOT EXPRESSED MATHEMATICALLY
- [4] RELATIONSHIP OF MASS AND VOLUME EXPRESSED MATHEMATICALLY BUT NOT AS A RATIO
- [5] RELATIONSHIP OF MASS AND VOLUME CONCEPTUALIZED AS A RATIO
- [6] DENSITIES OF LIQUIDS CALCULATED AS RATIOS OF MASS AND VOLUME

`K2′ – Knowledge Related to Floating and Sinking

**#11-Knowledge of Density – Nominal**

- [0] DOES NOT SPONTANEOUSLY USE THE WORD DENSITY
- [1] SPONTANEOUSLY USES THE WORD DENSITY