A: Number and Operations

A.1: Students will understand numerical concepts and mathematical operations

A.1.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

A.1.1.2: Identify fractions as parts of unit wholes, as parts of groups, and as locations on number lines;

A.1.1.2.a: Use visual models and other strategies to compare and order 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)

A.1.1.2.b: Use models to show how whole numbers and decimals (to the hundredths place) relate to simple fractions (e.g., ½, 5/10, 0.5)

Equivalent Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fraction, Decimal, Percent (Area and Grid Models)

A.1.1.2.c: Identify different interpretations of fractions:

A.1.1.2.c.2: Ratio

Fraction, Decimal, Percent (Area and Grid Models)

A.1.1.2.c.3: Equivalence

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)

A.1.1.2.c.4: Ordering of fractions

Adding Fractions (Fraction Tiles)
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)

A.1.1.2.c.5: Parts of a whole or parts of a set

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)

A.1.1.3: Add and subtract fractions with common and uncommon denominators using a variety of strategies (e.g., manipulative, numbers, pictures):

A.1.1.3.a: Recognize and generate equivalent decimal forms of commonly used fractions (e.g., halves, quarters, tenths, fifths)

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

A.1.1.4: Recognize classes of numbers (e.g., odd, even, factors, multiples, square numbers) and apply these concepts in problem solving situations.

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

A.1.2: Understand the meaning of operations and how they relate to one another.

A.1.2.2: Select and use appropriate operations (addition, subtraction, multiplication, and division) to solve problems.

Adding Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Decimals (Base-10 Blocks)

A.1.2.4: Demonstrate commutative, associative, identity, and zero properties of operations on whole numbers (e.g., 37 x 46 = 46 x 37 and (6 x 2) x 5 = 6 x (2 x 5)).

Critter Count (Modeling Multiplication)

A.1.2.5: Demonstrate the concept of distributivity of multiplication over addition and subtraction (e.g., 7 x 28 is equivalent to (7 x 20) + (7 x 8) or (7 x 30) - (7 x 2)).

Chocomatic (Multiplication, Arrays, and Area)

A.1.3: Compute fluently and make reasonable estimates.

A.1.3.2: Add, subtract, and multiply up to two double-digits accurately and efficiently.

Adding Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)

A.1.3.3: Use a variety of strategies (e.g., rounding and regrouping) to estimate the results of whole number computations and judge the reasonableness of the answers.

Cannonball Clowns (Number Line Estimation)
Critter Count (Modeling Multiplication)
Multiplying Decimals (Area Model)

A.1.3.4: Use strategies to estimate computations involving fractions and decimals.

Multiplying Decimals (Area Model)

B: Algebra

B.1: Students will understand algebraic concepts and applications.

B.1.1: Understand patterns, relations, and functions.

B.1.1.1: Represent and analyze patterns and simple 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)

B.1.1.2: Create and describe numeric and geometric patterns including multiplication and division patterns.

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

B.1.2: Represent and analyze mathematical situations and structures using algebraic symbols.

B.1.2.2: Explore the uses of properties (commutative, distributive, associative) in the computation of whole numbers.

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

B.1.3: Use mathematical models to represent and understand quantitative relationships.

B.1.3.2: Model problem situations and use graphs, tables, pictures, and equations to draw conclusions (e.g., different patterns of change).

Graphing Skills

B.1.4: Analyze changes in various contexts.

B.1.4.3: Find and analyze patterns using data tables (e.g., T tables).

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)

C: Geometry

C.1: Students will understand geometric concepts and applications.

C.1.2: Specify locations and describe spatial relationships using coordinate geometry and other representational systems.

C.1.2.2: Use ordered pairs to graph, locate, identify points, and describe paths in the first quadrant of the coordinate plane.

City Tour (Coordinates)

C.1.3: Apply transformations and use symmetry to analyze mathematical situations.

C.1.3.2: Describe a motion or set of motions that will show that two shapes are congruent.

Rock Art (Transformations)

C.1.4: Use visualization, spatial reasoning, and geometric modeling to solve problems.

C.1.4.2: Use geometric models such as number lines, arrays, and computer simulations to investigate number relationships (e.g., patterns).

Chocomatic (Multiplication, Arrays, and Area)

C.1.4.3: Explore relationships involving perimeter and area:

C.1.4.3.a: measure area of rectangular shapes and use appropriate units

Chocomatic (Multiplication, Arrays, and Area)

C.1.4.3.c: use models and formulas to solve problems involving perimeter and area of rectangles and squares (e.g., arrays)

Chocomatic (Multiplication, Arrays, and Area)

D: Measurement

D.1: Students will understand measurement systems and applications.

D.1.1: Understand measurable attributes of objects and the units, systems, and process of measurement.

D.1.1.1: Select the appropriate type of unit for measuring perimeter and size of an angle.

Fido's Flower Bed (Perimeter and Area)

D.1.1.5: Develop, understand, and use formulas to find the area of rectangles and related triangles and parallelograms.

Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)

D.1.1.6: Carry out simple conversions within a system of measurement (e.g., hours to minutes, meters to centimeters).

Cannonball Clowns (Number Line Estimation)

D.1.2: Apply appropriate techniques, tools, and formulas to determine measurements.

D.1.2.1: Estimate perimeters, areas of rectangles, triangles, and irregular shapes.

Fido's Flower Bed (Perimeter and Area)

D.1.2.2: Find the area of rectangles, related triangles, and parallelograms.

Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)

D.1.2.3: Estimate, measure, and solve problems involving length, area, mass, time, and temperature using appropriate standard units and tools.

Cannonball Clowns (Number Line Estimation)
Fido's Flower Bed (Perimeter and Area)
Measuring Trees

D.1.2.5: Compute elapsed time and make and interpret schedules.

Elapsed Time

E: Data Analysis and Probability

E.1: Students will understand how to formulate questions, analyze data, and determine probabilities.

E.1.1: Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them.

E.1.1.1: Organize, represent, and interpret numerical and categorical data and clearly communicate findings:

E.1.1.1.a: choose and construct representations that are appropriate for the data set

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

E.1.1.1.b: recognize the differences in representing categorical and numerical data

Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)

E.1.1.2: Design investigations and represent data using tables and graphs (e.g., line plots, bar graphs, line graphs).

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

E.1.2: Select and use appropriate statistical methods to analyze data.

E.1.2.1: Compare and describe related data sets.

Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)

E.1.2.2: Use the concepts of median, mode, maximum, minimum, and range and draw conclusions about a data set.

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

E.1.2.3: Use data analysis to make reasonable inferences/predictions and to develop convincing arguments from data described in a variety of formats (e.g. bar graphs, Venn diagrams, charts, tables, line graphs, and pictographs).

Graphing Skills

E.1.3: Develop and evaluate inferences and predictions that are based on data.

E.1.3.2: Develop convincing arguments from data displayed in a variety of formats.

Graphing Skills

E.1.4: Understand and apply basic concepts of probability.

E.1.4.1: Describe events as "likely," "unlikely," or "impossible" and quantify simple probability situations:

E.1.4.1.a: represent all possible outcomes for a simple probability situation in an organized way (e.g., tables, grids, tree diagrams)

Spin the Big Wheel! (Probability)