Science Cumulative Progress Indicators (CPIs) for the end of the designated grade span

Place a "+" for an expectation that represents a strength & a "-" for a weakness

+ or -

STANDARD 5.3    (MATHEMATICAL APPLICATIONS)    ALL STUDENTS WILL INTEGRATE MATHEMATICS AS A TOOL FOR PROBLEM-SOLVING IN SCIENCE, AND AS A MEANS OF EXPRESSING AND/OR MODELING SCIENTIFIC THEORIES.

A.     Numerical Operations

By the end of Grade 4, students will:

1.         Determine the reasonableness of estimates, measurements, and computations of quantities when doing science.

 2.         Recognize and comprehend the orders of magnitude associated with large and small physical quantities.

 3.         Express quantities using appropriate number formats, such as:

·        integers.

·        fractions.

Building upon knowledge and skills gained in preceding grades, by the end of Grade 8, students will:

 1.         Express quantities using appropriate number formats, such as:

·        decimals.

·        percents.

·        scientific notation.

Building upon knowledge and skills gained in preceding grades, by the end of Grade 12, students will:

 1.         Reinforce indicators from previous grade level.

B.     Geometry and Measurement

By the end of Grade 4, students will:

 1.         Select appropriate measuring instruments based on the degree of precision required.

 2.         Use a variety of measuring instruments and record measured quantities using the appropriate units.

Building upon knowledge and skills gained in preceding grades, by the end of Grade 8, students will:

 1.         Perform mathematical computations using labeled quantities and express answers in correctly derived units.

Building upon knowledge and skills gained in preceding grades, by the end of Grade 12, students will:

 1.         When performing mathematical operations with measured quantities, express answers to reflect the degree of precision and accuracy of the input data.

C.     Patterns and Algebra

 1.         Identify patterns when observing the natural and constructed world.

 1.         Express physical relationships in terms of mathematical equations derived from collected data.

 1.         Apply mathematical models that describe physical phenomena to predict real world events.

D.    Data Analysis and Probability

 1.         Use tables and graphs to represent and interpret data.

 1.         Represent and describe mathematical relationships among variables using:

·        graphs.

·        tables.

 2.         Analyze experimental data sets using measures of central tendency:

·        mean.

·        mode.

·        median

 3.         Construct and use a graph of experimental data to draw a line of best fit and identify a linear relationship between variables.

4.         Use computer spreadsheets, graphing and database applications to assist in quantitative analysis of data.

Building upon knowledge and skills gained in preceding grades, by the end of Grade 12, students will:

 1.         Construct and interpret graphs of data to represent inverse and non-linear relationships, and statistical distributions.