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 1: Make models that represent improper fractions.

Equivalent Fractions (Fraction Tiles)
Fractions Greater than One (Fraction Tiles)

1.1.PO 2: Identify symbols, words, or models that represent improper fractions.

Equivalent Fractions (Fraction Tiles)
Fractions Greater than One (Fraction Tiles)

1.1.PO 4: Compare two proper fractions or improper 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 5: Order three or more unit fractions, proper or improper fractions with like denominators 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 6: Compare two whole numbers, fractions, and decimals. (e.g., 1/2 to 0.6)

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Treasure Hunter (Decimals on the Number Line)

1.1.PO 7: Order whole numbers, fractions, and decimals.

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Treasure Hunter (Decimals on the Number Line)

1.1.PO 8: Determine the equivalency between and among fractions, decimals, and percents in contextual situations.

Fraction, Decimal, Percent (Area and Grid Models)

1.1.PO 9: Identify all whole number factors and pairs of factors for a number.

Factor Trees (Factoring Numbers)

1.1.PO 10: Recognize that 1 is neither a prime nor a composite number.

Factor Trees (Factoring Numbers)

1.1.PO 11: Sort whole numbers (through 50) into sets containing only prime numbers or only composite numbers.

Factor Trees (Factoring Numbers)

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

1.2.PO 5: Demonstrate the distributive property of multiplication over addition.

Chocomatic (Multiplication, Arrays, and Area)

1.2.PO 11: Add or subtract proper fractions and mixed numbers with like denominators with regrouping.

Adding Fractions (Fraction Tiles)
Cargo Captain (Multi-digit Subtraction)
Fractions Greater than One (Fraction Tiles)
Number Line Frog Hop (Addition and Subtraction)

1.2.PO 12: Add or subtract decimals.

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

1.2.PO 13: Multiply decimals.

Multiplying Decimals (Area Model)

1.3: Use estimation strategies reasonably and fluently.

1.3.PO 3: Round to estimate quantities.

Rounding Whole Numbers (Number Line)
Target Sum Card Game (Multi-digit Addition)

1.3.PO 4: Estimate and measure for area and perimeter.

Fido's Flower Bed (Perimeter and Area)
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 double-bar graph, line plot, frequency table or three-set Venn diagram with appropriate labels and title from organized data.

Graphing Skills
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 3: Interpret graphical representations and data displays including bar graphs (including double-bar), circle graphs, frequency tables, three-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 bar graphs (including double-bar), circle graphs, frequency tables, three-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) and mean (average) of given data.

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

2.1.PO 8: 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 -

2.2.PO 2.a: certain (represented by "1");

Spin the Big Wheel! (Probability)

2.2.PO 2.b: impossible, (represented by "0");

Spin the Big Wheel! (Probability)

2.2.PO 2.c: neither certain nor impossible; (represented by a fraction less than 1).

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: Solve grade level appropriate iterative 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)

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. (e.g., 15 = 45 ÷ n)

Road Trip (Problem Solving)

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

3.4.PO 1: Describe patterns of change.

3.4.PO 1.a: constant rate (speed of movement of the hands on a clock)

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 9: Identify the diameter, radius and circumference of a circle.

Measuring Trees

4.1.PO 13: Identify the lines of symmetry in a two-dimensional shape.

Quilting Bee (Symmetry)

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

4.2.PO 1: Demonstrate reflections using geometric figures.

Quilting Bee (Symmetry)
Rock Art (Transformations)

4.2.PO 2: Describe the transformations that created a tessellation.

Quilting Bee (Symmetry)
Rock Art (Transformations)

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

4.4.PO 6: Determine the area of figures composed of two or more rectangles on a grid.

City Tour (Coordinates)
Fido's Flower Bed (Perimeter and Area)

4.4.PO 8: Describe the change in perimeter or area when one attribute (length, width) of a rectangle is altered.

Fido's Flower Bed (Perimeter and Area)