1: Number Sense and Operations

1.1: Understand and apply numbers, ways of representing numbers, the relationships among numbers and different number systems.

1.1.PO 4: State whole numbers, through six-digits, with correct place value, by using models, illustrations, symbols, or expanded notation. (e.g., 53,941 = 50,000 + 3,000 + 900 + 40 +1)

Cannonball Clowns (Number Line Estimation)
Number Line Frog Hop (Addition and Subtraction)

1.1.PO 5: Construct models to represent place value concepts for the one's, ten's, and hundred's places.

Cannonball Clowns (Number Line Estimation)
Modeling Decimals (Base-10 Blocks)

1.1.PO 6: Apply expanded notation to model place value through 9,999. (e.g., 5,378 = 5,000 + 300 + 70 + 8)

Cannonball Clowns (Number Line Estimation)

1.1.PO 8: Compare two whole numbers, through six-digits.

Cannonball Clowns (Number Line Estimation)

1.1.PO 10: Make models that represent proper fractions (halves, thirds, fourths, eighths and tenths).

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

1.1.PO 11: Identify symbols, words, or models that represent proper fractions.

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Toy Factory (Set Models of Fractions)

1.1.PO 12: Use proper fractions in contextual situations.

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)

1.1.PO 13: Compare two proper fractions with like denominators.

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)

1.1.PO 14: Order three or more proper fractions with like denominators (Halves, thirds, fourths, eighths and tenths).

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)

1.1.PO 16: Use decimals through hundredths in contextual situations.

Adding Decimals (Base-10 Blocks)
Modeling Decimals (Base-10 Blocks)

1.1.PO 17: Compare two decimals, through hundredths, using models, illustrations, or symbols.

Adding Decimals (Base-10 Blocks)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Decimals (Base-10 Blocks)
Subtracting Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

1.1.PO 18: Order three or more decimals, through hundredths, using models, illustrations, or symbols.

Adding Decimals (Base-10 Blocks)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Decimals (Base-10 Blocks)
Subtracting Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

1.1.PO 19: Determine the equivalency among decimals, fractions, and percents. (e.g., Half-dollar = 50¢ = 50% and 1/4 = 0.25 = 25%)

Fraction, Decimal, Percent (Area and Grid Models)

1.1.PO 20: Identify whole-number factors and/or pairs of factors for a given whole number through 24.

Factor Trees (Factoring Numbers)

1.2: Understand and apply numerical operations and their relationship to one another.

1.2.PO 7: Demonstrate the process of multiplication as repeatedly adding the same number, counting by multiples, combining equal sets, and making arrays.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Multiplying Decimals (Area Model)

1.2.PO 8: Demonstrate the process of division with one-digit divisors (Separating elements of a set into smaller equal sets, sharing equally, or repeatedly subtracting the same number).

No Alien Left Behind (Division with Remainders)

1.2.PO 10: State multiplication and division facts through 9s.

Factor Trees (Factoring Numbers)

1.2.PO 11: Demonstrate the commutative and identity properties of multiplication.

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

1.2.PO 12: Identify multiplication and division as inverse operations.

Function Machines 3 (Functions and Problem Solving)

1.2.PO 16: Add or subtract fractions with like denominators (halves, thirds, fourths, eighths, and tenths) appropriate to grade level.

Adding Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)

1.3: Use estimation strategies reasonably and fluently.

1.3.PO 3: Record estimated and actual linear measurements for real life objects (e.g. length of fingernail; height of desk).

Measuring Trees

1.3.PO 4: Compare estimations of appropriate measures to the actual measures.

Measuring Motion

2: Data Analysis, Probability, and Discrete Mathematics

2.1: Understand and apply data collection, organization and representation to analyze and sort data.

2.1.PO 2: Construct a horizontal bar, vertical bar, pictograph, or tally chart with appropriate labels and title from organized data.

Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

2.1.PO 3: Interpret data found in line plots, pictographs, and single-bar graphs (horizontal and vertical).

Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

2.1.PO 4: Answer questions based on data found in line plots, pictographs, and single-bar graphs (horizontal and vertical).

Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

2.1.PO 5: Formulate questions based on graphs, charts, and tables to solve problems.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

2.1.PO 6: Solve problems using graphs, charts and tables.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

2.2: Understand and apply the basic concepts of probability.

2.2.PO 2: Make predictions about the probability of events being more likely, less likely, equally likely or unlikely.

Spin the Big Wheel! (Probability)

2.2.PO 3: Predict the outcome of a grade level appropriate probability experiment.

Spin the Big Wheel! (Probability)

2.2.PO 4: Record the data from performing a grade level appropriate probability experiment.

Spin the Big Wheel! (Probability)

2.2.PO 6: Compare the results of two repetitions of the same grade level appropriate probability experiment.

Spin the Big Wheel! (Probability)

3: Patterns, Algebra, and Functions

3.1: Identify patterns and apply pattern recognition to reason mathematically.

3.1.PO 1: Communicate a grade level appropriate iterative pattern, using symbols or numbers.

Pattern Flip (Patterns)

3.1.PO 2: Extend a grade level appropriate repetitive pattern. (e.g., 5, 10, 15, 20,...rule: add five or count by five's)

Pattern Flip (Patterns)

3.1.PO 3: Solve grade level appropriate pattern problems.

Pattern Flip (Patterns)

3.2: Describe and model functions and their relationships.

3.2.PO 1: Describe the rule used in a simple grade level appropriate function. (e.g., T-chart, input/output model and frames and arrows)

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

3.3: Represent and analyze mathematical situations and structures using algebraic representations.

3.3.PO 2: Solve equations with one variable using missing addends to sums of 18 (e.g., __ + 9 = 18, 9 + __ = 18); using minuend through 18. (e.g., 18 - __ = 9, 18 - 9 = __)

Road Trip (Problem Solving)

3.4: Analyze change in a variable over time and in various contexts.

3.4.PO 1: Identify the change in a variable over time. (e.g., an object gets taller, colder, heavier, etc.)

Elevator Operator (Line Graphs)

4: Geometry and Measurement

4.1: Analyze the attributes and properties of two and three dimensional shapes and develop mathematical arguments about their relationships.

4.1.PO 5: Identify a line of symmetry in a two-dimensional shape.

Quilting Bee (Symmetry)

4.4: Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements.

4.4.PO 1: Select the appropriate measure of accuracy:

4.4.PO 1.a: length - centimeters , meters; kilometers

Measuring Trees

4.4.PO 4: Measure a given object using the appropriate unit of measure:

4.4.PO 4.a: length - centimeters, millimeters, meters, kilometers

Measuring Trees

4.4.PO 6: Compare units of measure to determine more or less relationships for:

4.4.PO 6.a: length - inches to feet; centimeters to meters;

Measuring Trees

4.4.PO 9: Determine the perimeter using a rectangular array.

Fido's Flower Bed (Perimeter and Area)

4.4.PO 10: Represent area using a rectangular array.

Fido's Flower Bed (Perimeter and Area)