|
5-1
Mathematical Processes
|
-
5-1.1
Analyze information to solve increasingly more sophisticated problems.
-
5-1.2
Construct arguments that lead to conclusions about general mathematical properties and relationships.
-
5-1.3
Explain and justify answers based on mathematical properties, structures, and relationships.
-
5-1.4
Generate descriptions and mathematical statements about relationships between and among classes of objects.
-
5-1.5
Use correct, clear, and complete oral and written mathematical language to pose questions, communicate ideas, and extend problem situations.
-
5-1.6
Generalize connections between new mathematical ideas and related concepts and subjects that have been previously considered.
-
5-1.7
Use flexibility in mathematical representations.
-
5-1.8
Recognize the limitations of various forms of mathematical representations.
|
|
5-2
Number and Operations
|
-
5-2.1
Analyze the magnitude of a digit on the basis of its place value, using whole numbers and decimal numbers through thousandths.
-
5-2.2
Apply an algorithm to divide whole numbers fluently.
-
5-2.3
Understand the relationship among the divisor, dividend, and quotient.
-
5-2.4
Compare whole numbers, decimals, and fractions by using the symbols <, >, and =.
-
5-2.5
Apply an algorithm to add and subtract decimals through thousandths.
-
5-2.6
Classify numbers as prime, composite, or neither.
-
5-2.7
Generate strategies to find the greatest common factor and the least common multiple of two whole numbers.
-
5-2.8
Generate strategies to add and subtract fractions with like and unlike denominators.
-
5-2.9
Apply divisibility rules for 3, 6, and 9.
|
|
5-3
Algebra
|
-
5-3.1
Represent numeric, algebraic, and geometric patterns in words, symbols, algebraic expressions, and algebraic equations.
-
5-3.2
Analyze patterns and functions with words, tables, and graphs.
-
5-3.3
Match tables, graphs, expressions, equations, and verbal descriptions of the same problem situation.
-
5-3.4
Identify applications of commutative, associative, and distributive properties with whole numbers.
-
5-3.5
Analyze situations that show change over time.
|
|
5-4
Geometry
|
-
5-4.1
Apply the relationships of quadrilaterals to make logical arguments about their properties.
-
5-4.2
Compare the angles, side lengths, and perimeters of congruent shapes.
-
5-4.3
Classify shapes as congruent.
-
5-4.4
Translate between two-dimensional representations and three-dimensional objects.
-
5-4.5
Predict the results of multiple transformations on a geometric shape when combinations of translation, reflection, and rotation are used.
-
5-4.6
Analyze shapes to determine line symmetry and/or rotational symmetry.
|
|
5-5
Measurement
|
-
5-5.1
Use appropriate tools and units to measure objects to the precision of one-eighth inch.
-
5-5.2
Use a protractor to measure angles from 0 to 180 degrees.
-
5-5.3
Use equivalencies to convert units of measure within the metric system: converting length in millimeters, centimeters, meters, and kilometers; converting liquid volume in milliliters, centiliters, liters, and kiloliters; and converting mass in milligrams, centigrams, grams, and kilograms.
-
5-5.4
Apply formulas to determine the perimeters and areas of triangles, rectangles, and parallelograms.
-
5-5.5
Apply strategies and formulas to determine the volume of rectangular prisms.
-
5-5.6
Apply procedures to determine the amount of elapsed time in hours, minutes, and seconds within a 24-hour period.
-
5-5.7
Understand the relationship between the Celsius and Fahrenheit temperature scales.
-
5-5.8
Recall equivalencies associated with length, liquid volume, and mass: 10 millimeters = 1 centimeter, 100 centimeters = 1 meter, 1000 meters = 1 kilometer; 10 milliliters = 1 centiliter, 100 centiliters = 1 liter, 1000 liters = 1 kiloliter; and 10 milligrams = 1 centigram, 100 centigrams = 1 gram, 1000 grams = 1 kilogram.
|
|
5-6
Data Analysis and Probability
|
-
5-6.1
Design a mathematical investigation to address a question.
-
5-6.2
Analyze how data-collection methods affect the nature of the data set.
-
5-6.3
Apply procedures to calculate the measures of central tendency (mean, median, and mode).
-
5-6.4
Interpret the meaning and application of the measures of central tendency.
-
5-6.5
Represent the probability of a single-stage event in words and fractions.
-
5-6.6
Conclude why the sum of the probabilities of the outcomes of an experiment must equal 1.
|
|
