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.

Cannonball Clowns (Number Line Estimation)
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)

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

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)
Modeling Fractions (Area Models)

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

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)

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.

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)
Modeling Fractions (Area Models)

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.

Factor Trees (Factoring Numbers)

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.

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.

Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)

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.

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

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)

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

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.

Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)

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

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)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fractions Greater than One (Fraction Tiles)
Subtracting Decimals (Base-10 Blocks)

2: Measurement

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.

Balancing Blocks (Volume)
Fido's Flower Bed (Perimeter and Area)

2.D: Identify appropriate tools and apply counting techniques for measuring side lengths, perimeter and area of squares, rectangles, and simple irregular two-dimensional shapes, volume of rectangular prisms, and time and temperature.

2.D.4: Develop and use strategies to find perimeter using string or links, area using tiles or a grid, and volume using cubes; e.g., count squares to find area of regular or irregular shapes on a grid, layer cubes in a box to find its volume.

Fido's Flower Bed (Perimeter and Area)

2.D.6: Write, solve and verify solutions to multi-step problems involving measurement.

Measuring Motion

3: Geometry and Spatial Sense

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)

3.I: Describe, identify and model reflections, rotations and translations, using physical materials.

3.I.7: Identify, describe and use reflections (flips), rotations (turns), and translations (slides) in solving geometric problems; e.g., use transformations to determine if 2 shapes are congruent.

Quilting Bee (Symmetry)
Rock Art (Transformations)

3.J: Describe a motion or series of transformations that show two shapes are congruent.

3.J.7: Identify, describe and use reflections (flips), rotations (turns), and translations (slides) in solving geometric problems; e.g., use transformations to determine if 2 shapes are congruent.

Quilting Bee (Symmetry)
Rock Art (Transformations)

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 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.

Pattern Flip (Patterns)

4.C: Write and solve open sentences and explain strategies.

4.C.5: Represent mathematical relationships with equations or inequalities.

Road Trip (Problem Solving)

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)
Pattern Flip (Patterns)

4.G: Describe how a change in one variable affects the value of a related variable.

4.G.6: Describe how a change in one variable affects the value of a related variable; e.g., as one increases the other increases or as one increases the other decreases.

Elevator Operator (Line Graphs)

5: Data Analysis and Probability

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

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

5.C.3: Interpret and construct Venn diagrams to sort and describe data.

Reaction Time 2 (Graphs and Statistics)

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
Reaction Time 2 (Graphs and Statistics)

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.

Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (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.9: Conduct simple probability experiments and draw conclusions from the results; e.g., rolling number cubes or drawing marbles from a bag.

Spin the Big Wheel! (Probability)

5.F.10: Represent the likelihood of possible outcomes for chance situations; e.g., probability of selecting a red marble from a bag containing 3 red and 5 white marbles.

Spin the Big Wheel! (Probability)

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.F.12: Place events in order of likelihood and use a diagram or appropriate language to compare the chance of each event occurring; e.g. impossible, unlikely, equal, likely, certain.

Spin the Big Wheel! (Probability)

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

5.H.10: Represent the likelihood of possible outcomes for chance situations; e.g., probability of selecting a red marble from a bag containing 3 red and 5 white marbles.

Spin the Big Wheel! (Probability)

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)