4-2: The student will demonstrate through the mathematical processes an understanding of decimal notation as an extension of the place-value system; the relationship between fractions and decimals; the multiplication of whole numbers; and accurate, efficient, and generalizable methods of dividing whole numbers, adding decimals, and subtracting decimals.

4-2.1: Recognize the period in the place-value structure of whole numbers: units, thousands, millions, and billions.

Cannonball Clowns (Number Line Estimation)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Rounding Whole Numbers (Number Line)
Target Sum Card Game (Multi-digit Addition)

4-2.2: Apply divisibility rules for 2, 5, and 10.

Factor Trees (Factoring Numbers)

4-2.3: Apply an algorithm to multiply whole numbers fluently.

Critter Count (Modeling Multiplication)

4-2.4: Explain the effect on the product when one of the factors is changed.

Critter Count (Modeling Multiplication)

4-2.5: Generate strategies to divide whole numbers by single-digit divisors.

No Alien Left Behind (Division with Remainders)

4-2.6: Analyze the magnitude of digits through hundredths on the basis of their place value.

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)

4-2.7: Compare decimals through hundredths by using the terms is less than, is greater than, and is equal to and the symbols <, >, and =.

Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

4-2.8: Apply strategies and procedures to find equivalent forms of fractions.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

4-2.9: Compare the relative size of fractions to the benchmarks 0, 1/2, and 1.

Fraction Artist 2 (Area Models of Fractions)

4-2.10: Identify common the fraction/decimal equivalents 1/2 =.5, 1/4 =.25, 3/4 =.75, 1/3 =.33, 2/3 = .67, multiples of 1/10, and multiples of 1/100.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

4-2.11: Represent improper fractions, mixed numbers, and decimals.

Fraction, Decimal, Percent (Area and Grid Models)
Fractions Greater than One (Fraction Tiles)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Treasure Hunter (Decimals on the Number Line)

4-2.12: Generate strategies to add and subtract decimals through hundredths.

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

4-3: The student will demonstrate through the mathematical processes an understanding of numeric and nonnumeric patterns, the representation of simple mathematical relationships, and the application of procedures to find the value of an unknown.

4-3.1: Analyze numeric, nonnumeric, and repeating patterns involving all operations and decimal patterns through hundredths.

Function Machines 1 (Functions and Tables)
Pattern Flip (Patterns)

4-3.6: Illustrate situations that show change over time as either increasing, decreasing, or varying.

Elapsed Time

4-4: The student will demonstrate through the mathematical processes an understanding of the relationship between two- and three-dimensional shapes, the use of transformations to determine congruency, and the representation of location and movement within the first quadrant of a coordinate system.

4-4.1: Analyze the quadrilaterals squares, rectangles, trapezoids, rhombuses, and parallelograms according to their properties.

Classifying Quadrilaterals

4-4.3: Predict the results of multiple transformations of the same type-translation, reflection, or rotation-on a two-dimensional geometric shape.

Rock Art (Transformations)

4-4.4: Represent the two-dimensional shapes trapezoids, rhombuses, and parallelograms and the three-dimensional shapes cubes, rectangular prisms, and cylinders.

Classifying Quadrilaterals
Pyramids and Cones

4-4.6: Represent points, lines, line segments, rays, angles, and polygons.

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)

4-4.7: Represent with ordered pairs of whole numbers the location of points in the first quadrant of a coordinate grid.

City Tour (Coordinates)

4-4.8: Illustrate possible paths from one point to another along vertical and horizontal grid lines in the first quadrant of the coordinate plane.

City Tour (Coordinates)

4-5: The student will demonstrate through the mathematical processes an understanding of elapsed time; conversions within the U.S. Customary System; and accurate, efficient, and generalizable methods of determining area.

4-5.1: Use appropriate tools to measure objects to the nearest unit: measuring length in quarter inches, centimeters, and millimeters; measuring liquid volume in cups, quarts, and liters; and measuring weight and mass in pounds, milligrams, and kilograms.

Cannonball Clowns (Number Line Estimation)
Measuring Trees

4-5.3: Use equivalencies to convert units of measure within the U.S. Customary System: converting length in inches, feet, yards, and miles; converting weight in ounces, pounds, and tons; converting liquid volume in cups, pints, quarts, and gallons; and converting time in years, months, weeks, days, hours, minutes, and seconds.

Cannonball Clowns (Number Line Estimation)

4-5.4: Analyze the perimeter of a polygon.

Fido's Flower Bed (Perimeter and Area)

4-5.5: Generate strategies to determine the area of rectangles and triangles.

Fido's Flower Bed (Perimeter and Area)

4-5.6: Apply strategies and procedures to determine the amount of elapsed time in hours and minutes within a 12-hour period, either a.m. or p.m.

Elapsed Time

4-5.8: Recall equivalencies associated with liquid volume, time, weight, and length: 8 liquid ounces = 1 cup, 2 cups = 1 pint, 2 pints = 1 quart, 4 quarts = 1 gallon; 365 days = 1 year, 52 weeks = 1 year; 16 ounces = 1 pound, 2,000 pounds = 1 ton; and 5,280 feet = 1 mile.

Cannonball Clowns (Number Line Estimation)

4-6: The student will demonstrate through the mathematical processes an understanding of the impact of data-collection methods, the appropriate graph for categorical or numerical data, and the analysis of possible outcomes for a simple event.

4-6.1: Compare how data-collection methods impact survey results.

Reaction Time 2 (Graphs and Statistics)

4-6.2: Interpret data in tables, line graphs, bar graphs, and double bar graphs whose scale increments are greater than or equal to 1.

Elevator Operator (Line Graphs)
Graphing Skills
Reaction Time 1 (Graphs and Statistics)

4-6.3: Organize data in tables, line graphs, and bar graphs whose scale increments are greater than or equal to 1.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)

4-6.5: Match categorical and numerical data to appropriate graphs.

Mascot Election (Pictographs and Bar Graphs)

4-6.7: Analyze possible outcomes for a simple event.

Spin the Big Wheel! (Probability)