1: Number, Number Sense and Operations

1.A: Use place value structure of the base-ten number system to read, write, represent and compare whole numbers and decimals.

1.A.2: Use place value structure of the base-ten number system to read, write, represent and compare whole numbers through millions and decimals through thousandths.

Adding Decimals (Base-10 Blocks)
Cannonball Clowns (Number Line Estimation)
Modeling Decimals (Area and Grid Models)
Modeling Decimals (Base-10 Blocks)
Subtracting Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

1.A.3: Round whole numbers to a given place value.

Rounding Whole Numbers (Number Line)

1.B: Recognize and generate equivalent representations for whole numbers, fractions and decimals.

1.B.1: Identify and generate equivalent forms of fractions and decimals. For example:

1.B.1.a: Connect physical, verbal and symbolic representations of fractions, decimals and whole numbers; e.g., 1/2, 5/10, "five tenths," 0.5, shaded rectangles with half, and five tenths.

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Decimals (Base-10 Blocks)
Modeling Fractions (Area Models)
Multiplying Decimals (Area Model)
Toy Factory (Set Models of Fractions)
Treasure Hunter (Decimals on the Number Line)

1.B.1.b: Understand and explain that ten tenths is the same as one whole in both fraction and decimal form.

Fraction, Decimal, Percent (Area and Grid Models)

1.C: Represent commonly used fractions and mixed numbers using words and physical models.

Equivalent Fractions (Fraction Tiles)
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)

1.D: Use models, points of reference and equivalent forms of commonly used fractions to judge the size of fractions and to compare, describe and order them.

1.D.5: Use models and points of reference to compare commonly used fractions.

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)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

1.E: Recognize and classify numbers as prime or composite and list factors.

1.E.4: Identify and represent factors and multiples of whole numbers through 100, and classify numbers as prime or composite.

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

1.G: Model and use commutative and associative properties for addition and multiplication.

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

1.H: Use relationships between operations, such as subtraction as the inverse of addition and division as the inverse of multiplication.

Factor Trees (Factoring Numbers)
Function Machines 3 (Functions and Problem Solving)

1.I: Demonstrate fluency in multiplication facts with factors through 10 and corresponding divisions.

1.I.14: Demonstrate fluency in adding and subtracting whole numbers and in multiplying and dividing whole numbers by 1- and 2-digit numbers and multiples of ten.

Critter Count (Modeling Multiplication)

1.J: Estimate the results of whole number computations using a variety of strategies, and judge the reasonableness.

1.J.9: Estimate the results of computations involving whole numbers, fractions and decimals, using a variety of strategies.

Cannonball Clowns (Number Line Estimation)
Multiplying Decimals (Area Model)

1.K: Analyze and solve multi-step problems involving addition, subtraction, multiplication and division of whole numbers.

1.K.6: Use associative and distributive properties to simplify and perform computations; e.g., use left to right multiplication and the distributive property to find an exact answer without paper and pencil, such as 5 x 47 = 5 x 40 + 5 x 7 = 200 + 35 = 235.

Chocomatic (Multiplication, Arrays, and Area)

1.K.7: Recognize that division may be used to solve different types of problem situations and interpret the meaning of remainders; e.g., situations involving measurement, money.

No Alien Left Behind (Division with Remainders)
Pattern Flip (Patterns)

1.L: Use a variety of methods and appropriate tools (mental math, paper and pencil, calculators) for computing with whole numbers.

1.L.13: Use a variety of methods and appropriate tools for computing with whole numbers; e.g., mental math, paper and pencil, and calculator.

Modeling Decimals (Base-10 Blocks)

1.L.14: Demonstrate fluency in adding and subtracting whole numbers and in multiplying and dividing whole numbers by 1- and 2-digit numbers and multiples of ten.

Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)

1.M: Add and subtract commonly used fractions with like denominators and decimals, using models and paper and pencil.

1.M.9: Estimate the results of computations involving whole numbers, fractions and decimals, using a variety of strategies.

Cannonball Clowns (Number Line Estimation)
Multiplying Decimals (Area Model)

1.M.10: Use physical models, visual representations, and paper and pencil to add and subtract decimals and commonly used fractions with like denominators.

Adding Decimals (Base-10 Blocks)
Adding Fractions (Fraction Tiles)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Subtracting Decimals (Base-10 Blocks)

2: Measurement

2.A: Select appropriate units for perimeter, area, weight, volume (capacity), time and temperature, using:

2.A.3: Identify and select appropriate units to measure:

2.A.3.b: area - tiles (square inches or square centimeters).

Fido's Flower Bed (Perimeter and Area)

2.A.3.c: volume - cubes (cubic inches or cubic centimeters).

Cannonball Clowns (Number Line Estimation)

2.B: Know that the number of units is inversely related to the size of the unit for any item being measured.

2.B.5: Make simple unit conversions within a measurement system; e.g., inches to feet, kilograms to grams, quarts to gallons.

Cannonball Clowns (Number Line Estimation)

2.C: Develop common referents for units of measure for length, weight, volume (capacity) and time to make comparisons and estimates.

2.C.2: Demonstrate and describe perimeter as surrounding and area as covering a two-dimensional shape, and volume as filling a three-dimensional object.

Chocomatic (Multiplication, Arrays, and Area)

3: Geometry and Spatial Sense

3.A: Provide rationale for groupings and comparisons of two-dimensional figures and three-dimensional objects.

3.A.3: Identify similarities and differences of quadrilaterals; e.g., squares, rectangles, parallelograms and trapezoids.

Classifying Quadrilaterals

3.D: Identify and draw right, obtuse, acute and straight angles.

Classifying Quadrilaterals

3.E: Use attributes to describe, classify and sketch plane figures and build solid objects.

3.E.2: Describe, classify, compare and model two- and three-dimensional objects using their attributes.

Classifying Quadrilaterals

3.F: Develop definitions of classes of shapes.

3.F.3: Identify similarities and differences of quadrilaterals; e.g., squares, rectangles, parallelograms and trapezoids.

Classifying Quadrilaterals

3.G: Find and name locations in coordinate systems.

3.G.6: Specify locations and plot ordered pairs on a coordinate plane, using first quadrant points.

City Tour (Coordinates)

3.H: Identify and describe line and rotational symmetry in two-dimensional shapes and designs.

Quilting Bee (Symmetry)

4: Patterns, Functions and Algebra

4.A: Analyze and extend patterns, and describe the rule in words.

4.A.2: Represent and analyze patterns and functions using words, tables and graphs.

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Pattern Finder
Pattern Flip (Patterns)

4.B: Use patterns to make predictions, identify relationships, and solve problems.

4.B.1: Use models and words to describe, extend and make generalizations of patterns and relationships occurring in computation, numerical patterns, geometry, graphs and other applications.

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

4.D: Represent an unknown quantity as a variable using a symbol, including letters.

4.D.2: Represent and analyze patterns and functions using words, tables and graphs.

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

4.F: Construct and use a table of values to solve problems associated with mathematical relationships.

4.F.3: Construct a table of values to solve problems associated with a mathematical relationship.

Function Machines 1 (Functions and Tables)

5: Data Analysis and Probability

5.A: Gather and organize data from surveys and classroom experiments, including data collected over a period of time.

5.A.1: Create a plan for collecting data for a specific purpose.

Reaction Time 2 (Graphs and Statistics)

5.B: Read and interpret tables, charts, graphs (bar, picture, line, line plot), and timelines as sources of information, identify main idea, draw conclusions, and make predictions.

5.B.2: Represent and interpret data using tables, bar graphs, line plots and line graphs.

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

5.B.5: Propose and explain interpretations and predictions based on data displayed in tables, charts and graphs.

Graphing Skills
Prairie Ecosystem

5.C: Construct charts, tables and graphs to represent data, including picture graphs, bar graphs, line graphs, line plots and Venn diagrams.

5.C.2: Represent and interpret data using tables, bar graphs, line plots and line graphs.

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

5.C.4: Compare different representations of the same data to evaluate how well each representation shows important aspects of the data, and identify appropriate ways to display the data.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)

5.D: Read, interpret and construct graphs in which icons represent more than a single unit or intervals greater than one; e.g., each "bicycle picture" = 10 bicycles or the intervals on an axis are multiples of 10.

Graphing Skills

5.E: Describe data using mode, median and range.

5.E.6: Describe the characteristics of a set of data based on a graphical representation, such as range of the data, clumps of data, and holes in the data.

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

5.E.7: Identify the median of a set of data and describe what it indicates about the data.

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

5.E.8: Use range, median and mode to make comparisons among related sets of data.

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

5.F: Conduct a simple probability experiment and draw conclusions about the likelihood of possible outcomes.

5.F.11: Relate the concepts of impossible and certain-to-happen events to the numerical values of 0 (impossible) and 1 (certain).

Spin the Big Wheel! (Probability)

5.H: Use the set of possible outcomes to describe and predict events.

5.H.11: Relate the concepts of impossible and certain-to-happen events to the numerical values of 0 (impossible) and 1 (certain).

Spin the Big Wheel! (Probability)