5-2: The student will demonstrate through the mathematical processes an understanding of the place value system; the division of whole numbers; the addition and subtraction of decimals; the relationships among whole numbers, fractions, and decimals; and accurate, efficient, and generalizable methods of adding and subtracting fractions.

5-2.1: Analyze the magnitude of a digit on the basis of its place value, using whole numbers and decimal numbers through thousandths.

Comparing and Ordering Decimals
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)
Treasure Hunter (Decimals on the Number Line)

5-2.2: Apply an algorithm to divide whole numbers fluently.

No Alien Left Behind (Division with Remainders)

5-2.3: Understand the relationship among the divisor, dividend, and quotient.

No Alien Left Behind (Division with Remainders)

5-2.4: Compare whole numbers, decimals, and fractions by using the symbols <, >, and =.

Comparing and Ordering Decimals
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

5-2.5: Apply an algorithm to add and subtract decimals through thousandths.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

5-2.6: Classify numbers as prime, composite, or neither.

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)

5-2.7: Generate strategies to find the greatest common factor and the least common multiple of two whole numbers.

Pattern Flip (Patterns)

5-2.8: Generate strategies to add and subtract fractions with like and unlike denominators.

Adding Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

5-2.9: Apply divisibility rules for 3, 6, and 9.

Factor Trees (Factoring Numbers)

5-3: The student will demonstrate through the mathematical processes an understanding of the use of patterns, relations, functions, models, structures, and algebraic symbols to represent quantitative relationships and will analyze change in various contexts.

5-3.1: Represent numeric, algebraic, and geometric patterns in words, symbols, algebraic expressions, and algebraic equations.

Function Machines 1 (Functions and Tables)

5-3.2: Analyze patterns and functions with words, tables, and graphs.

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Points, Lines, and Equations

5-3.3: Match tables, graphs, expressions, equations, and verbal descriptions of the same problem situation.

Mascot Election (Pictographs and Bar Graphs)

5-3.4: Identify applications of commutative, associative, and distributive properties with whole numbers.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)

5-3.5: Analyze situations that show change over time.

Elapsed Time

5-4: The student will demonstrate through the mathematical processes an understanding of congruency, spatial relationships, and relationships among the properties of quadrilaterals.

5-4.1: Apply the relationships of quadrilaterals to make logical arguments about their properties.

Classifying Quadrilaterals

5-4.5: Predict the results of multiple transformations on a geometric shape when combinations of translation, reflection, and rotation are used.

Rock Art (Transformations)

5-4.6: Analyze shapes to determine line symmetry and/or rotational symmetry.

Quilting Bee (Symmetry)

5-5: The student will demonstrate through the mathematical processes an understanding of the units and systems of measurement and the application of tools and formulas to determine measurements.

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.

Cannonball Clowns (Number Line Estimation)

5-5.4: Apply formulas to determine the perimeters and areas of triangles, rectangles, and parallelograms.

Area of Triangles
Fido's Flower Bed (Perimeter and Area)

5-5.5: Apply strategies and formulas to determine the volume of rectangular prisms.

Balancing Blocks (Volume)
Pyramids and Cones

5-5.6: Apply procedures to determine the amount of elapsed time in hours, minutes, and seconds within a 24-hour period.

Elapsed Time

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.

Cannonball Clowns (Number Line Estimation)

5-6: The student will demonstrate through the mathematical processes an understanding of investigation design, the effect of data-collection methods on a data set, the interpretation and application of the measures of central tendency, and the application of basic concepts of probability.

5-6.1: Design a mathematical investigation to address a question.

Reaction Time 2 (Graphs and Statistics)

5-6.2: Analyze how data-collection methods affect the nature of the data set.

Reaction Time 2 (Graphs and Statistics)

5-6.3: Apply procedures to calculate the measures of central tendency (mean, median, and mode).

Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

5-6.4: Interpret the meaning and application of the measures of central tendency.

Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

5-6.5: Represent the probability of a single-stage event in words and fractions.

Spin the Big Wheel! (Probability)