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 place values for whole numbers. (e.g., In the number 203,495 what is the value of the 2?)

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

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

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

1.1.PO 6: Apply expanded notation to model place value. (e.g., 203,495 = 200,000 + 3,000 + 400 + 90 + 5)

Cannonball Clowns (Number Line Estimation)

1.1.PO 10: Identify symbols, words, or models that represent mixed numbers.

Fractions Greater than One (Fraction Tiles)

1.1.PO 12: Compare two unit fractions (e.g., ½ to 1/5) or proper or mixed numbers with like denominators.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

1.1.PO 13: Order three or more unit fractions or proper or improper fractions with like denominators.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

1.1.PO 14: Use decimals in contextual situations.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Treasure Hunter (Decimals on the Number Line)

1.1.PO 15: Compare two decimals.

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

1.1.PO 16: Order three or more decimals.

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

1.1.PO 17: Determine the equivalency among decimals, fractions, and percents. (e.g., 49/100 = 0.49 = 49%)

Fraction, Decimal, Percent (Area and Grid Models)

1.1.PO 18: Identify all whole-number factors and pairs of factors for a given whole number through 144.

Factor Trees (Factoring Numbers)

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

1.2.PO 7: State multiplication and division facts through 12s.

Factor Trees (Factoring Numbers)

1.2.PO 12: Add or subtract fractions with like denominators, no regrouping.

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

1.3: Use estimation strategies reasonably and fluently.

1.3.PO 2: Use estimation to verify the reasonableness of a calculation. (e.g., Is 3284 x 343 = 1200 reasonable?)

Target Sum Card Game (Multi-digit Addition)

1.3.PO 4: Estimate and measure for distance.

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 single-bar graph, line graph or two -set Venn diagram with appropriate labels and title from organized data.

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

2.1.PO 3: Interpret graphical representations and data displays including single-bar graphs, circle graphs, two-set Venn diagrams, and line graphs that display continuous data.

Elevator Operator (Line Graphs)
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)

2.1.PO 4: Answer questions based on graphical representations and data displays including single-bar graphs, circle graphs, two-set Venn diagrams, and line graphs that display continuous data.

Elevator Operator (Line Graphs)
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)

2.1.PO 5: Identify the mode(s) of given data.

Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

2.1.PO 7: Solve contextual 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: Describe the probability of events as being more likely, less likely, equally likely, unlikely, certain, impossible, fair or unfair.

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 7: 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 iterative pattern.

Pattern Flip (Patterns)

3.1.PO 3: Create grade level appropriate iterative patterns.

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)

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 3: Solve one-step equations with one variable represented by a letter or symbol using multiplication of whole numbers. (e.g., 12 = n x 4)

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 8: Draw a two-dimensional shape that has line symmetry.

Quilting Bee (Symmetry)

4.2: Apply spatial reasoning to create transformations and use symmetry to analyze mathematical situations.

4.2.PO 1: Demonstrate translation using geometric figures.

Rock Art (Transformations)

4.3: Specify and describe spatial relationships using coordinate geometry and other representational systems.

4.3.PO 1: Name the coordinates of a point plotted in the first quadrant.

City Tour (Coordinates)

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

4.4.PO 8: Determine perimeter of simple polygons. (e.g. square, rectangle, triangle)

Fido's Flower Bed (Perimeter and Area)

4.4.PO 9: Determine area of squares and rectangles.

Fido's Flower Bed (Perimeter and Area)

4.4.PO 10: Differentiate between perimeter and area of quadrilaterals.

Fido's Flower Bed (Perimeter and Area)

5: Structure and Logic

5.2: Evaluate situations, select problem-solving strategies, draw logical conclusions, develop and describe solutions and recognize their applications.

5.2.PO 1: Draw a conclusion from a Venn diagram.

Reaction Time 2 (Graphs and Statistics)