A: Patterns and functional relationships can be represented and analyzed using a variety of strategies, tools and technologies.

A.2: Create and construct numerical and spatial patterns and sequences that repeat and grow.

Pattern Flip (Patterns)

A.4: Describe mathematical relationships and situations involving computation of whole numbers (addition, subtraction, multiplication and division) using words, symbols, open number sentences and equations, e.g., 56 + __ = 100 and 3 x 5 = 9 + 6.

Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)

A.6: Solve problems and demonstrate an understanding of equivalence using the equals sign in number sentences that reflect the commutative and associative properties of addition and multiplication of whole numbers, e.g. 3 x 5 = 5 x 3.

Critter Count (Modeling Multiplication)

N: Quantitative relationships can be expressed numerically in multiple ways in order to make connections and simplify calculations using a variety of strategies, tools and technologies.

N.1: Locate, label, compare and order whole numbers up to 10,000 using place value models, number lines and number patterns (including multiples of 100 and 1,000).

Cannonball Clowns (Number Line Estimation)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Number Line Frog Hop (Addition and Subtraction)
Rounding Whole Numbers (Number Line)

N.3: Round three- and four-digit numbers to the nearest hundred and thousand using place value models, number lines and number patterns.

Rounding Whole Numbers (Number Line)

N.4: Represent three- and four-digit numbers up to 10,000 in expanded forms, e.g., 5,472 = (5 x 1,000) + (4 x 100) + (7 x 10) + (2 x 1), and regrouped forms, e.g., 5,472 = (4 x 1,000) + (14 x 100) + (6 x 10) + (12 x 1). Use the forms to support computational strategies.

Cannonball Clowns (Number Line Estimation)

N.5: Represent fractions with like and unlike denominators of 2, 3, 4, 5, 6 and 8 using a variety of materials; label the fractional parts using words and fraction symbols.

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)

N.6: Locate, label and estimate fractions with like and unlike denominators of 2, 3, 4, 5, 6 and 8 by constructing and using models, pictures and number lines.

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

N.7: Determine equivalence, compare and order fractions through the construction and use of models, pictures and number lines with like and unlike denominators of 2, 3, 4, 5, 6 and 8, including identifying a whole object or a whole set of objects as a fraction with the same numerator and denominator.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
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)

N.8: Use models, number patterns and counting and grouping of objects, to find equal parts of a set of objects and identify amounts such as 2/3 of 12 is 8.

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

N.9: Describe quantitative relationships using ratios and identify patterns with equivalent ratios such as 3 out of 6 crayons are red or 4 out of 8 crayons are red and are the same as 1 out of 2 crayons is red.

Fraction, Decimal, Percent (Area and Grid Models)

N.10: Recall the multiplication and division facts for 1, 2, 3, 4, 5 and 10.

Critter Count (Modeling Multiplication)

N.11: Write multiplication and division story problems to match a given multiplication or division number sentence and vice versa; solve the problems and justify the solution.

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

N.12: Solve problems involving addition and subtraction of two- and three-digit whole numbers and money amounts up to $100.00 with and without regrouping, using a variety of strategies, including models.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Chocomatic (Multiplication, Arrays, and Area)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)

N.14: Solve problems involving the multiplication and division of two- and three-digit numbers by one digit (2, 3, 4, 5 or 10) with models, arrays and pictures of sets.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)

G: Shapes and structures can be analyzed, visualized, measured and transformed using a variety of strategies, tools and technologies.

G.4: Create two-dimensional figures with one or more lines of reflective symmetry.

Quilting Bee (Symmetry)

G.10: Estimate and measure using nonstandard units and appropriate customary and metric tools and units:

G.10.a: length and perimeter to the nearest 1/4 inch or 1/2 centimeter;

Cannonball Clowns (Number Line Estimation)
Measuring Trees

G.10.b: area in square inches or square centimeters;

Fido's Flower Bed (Perimeter and Area)

G.10.11.g: Describe and use estimation strategies that can identify a reasonable answer to a measurement problem when an estimate is appropriate.

Cannonball Clowns (Number Line Estimation)

D: Data can be analyzed to make informed decisions using a variety of strategies, tools and technologies.

D.1: Pose questions that can be used to guide data collection, organization, and representation.

Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram

D.2: Collect and organize the data that answer the questions using diagrams, charts, tables, lists, pictographs, bar graphs and line plots

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

D.3: Analyze data that have been collected and organized, to draw and defend conclusions based on the data.

Real-Time Histogram

D.4: Describe an event or element as typical based upon the range, median and mode of a set of data.

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

D.6: Describe the probability of an outcome as ___ out of ___, e.g., 3 out of 5.

Estimating Population Size
Spin the Big Wheel! (Probability)