| Grade 5 | Mathematical Processes | Week Taught | Week Reviewed |
| 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. | ||
| 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. | ||
| 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. | ||
| 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. | ||
| 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: | ||
| 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. |