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.1.1.1: Compare and order using concrete or illustrated models:

A.1.1.1.a: whole numbers (to millions)

Modeling Decimals (Base-10 Blocks)

A.1.1.1.b: common fractions (halves, thirds, fourths, eighths)

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.1.1.1.c: decimals (thousandths)

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

A.1.1.2: Demonstrate understanding of the magnitude of the value of numbers from thousandths to millions, including common fractions.

Fraction, Decimal, Percent (Area and Grid Models)

A.1.1.4: Interpret percents as part of a hundred (i.e., find decimal and percent equivalents for common fractions, explain how they represent the same value, and compute a given percent of a whole number).

Fraction, Decimal, Percent (Area and Grid Models)

A.1.1.5: Identify and represent on a number line decimals, fractions, and mixed numbers.

Comparing and Ordering Decimals
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Fractions Greater than One (Fraction Tiles)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Treasure Hunter (Decimals on the Number Line)

A.1.1.6: Identify prime and composite numbers to 50.

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.1.2.1: Explain and perform whole number division and express remainders as a whole number or a fractional part as appropriate to the context of real-life problems.

No Alien Left Behind (Division with Remainders)

A.1.2.2: Add and subtract decimals.

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

A.1.2.4: Find the factors and multiples of whole numbers.

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

A.1.2.6: Identify and represent on a number line decimals, fractions, and mixed numbers.

Comparing and Ordering Decimals
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Fractions Greater than One (Fraction Tiles)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Treasure Hunter (Decimals on the Number Line)

A.1.2.7: Demonstrate proficiency with division, including one- and two-digit divisors.

No Alien Left Behind (Division with Remainders)

A.1.2.8: Solve simple problems involving the addition and subtraction of fractions and mixed numbers.

Adding Fractions (Fraction Tiles)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

A.1.2.9: Represent and use fractions and decimals in equivalent forms.

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

A.1.3: Compute fluently and make reasonable estimates.

A.1.3.1: Add, subtract, multiply, and divide whole numbers.

Adding Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)

A.1.3.2: Add and subtract decimals.

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

A.1.3.3: Use estimation strategies to verify the reasonableness of calculated results.

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

A.1.3.4: Explain how the estimation strategy impacts the result.

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

A.1.3.5: Relate the basic arithmetic operations to one another (e.g., multiplication and division are inverse operations).

Function Machines 3 (Functions and Problem Solving)

A.1.3.6: Simplify numerical expressions using order of operations.

Order of Operations

B: Algebra

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

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

B.1.1.1: Identify and graph ordered pairs in the first quadrant of the coordinate plane.

City Tour (Coordinates)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Points in the Coordinate Plane
Points, Lines, and Equations

B.1.1.2: Describe, represent, and analyze patterns and relationships.

Pattern Finder
Pattern Flip (Patterns)

B.1.1.3: Identify, describe, and continue patterns presented in a variety of formats (e.g., numeric, visual, oral, written, kinesthetic, pictorial).

Pattern Finder
Pattern Flip (Patterns)

B.1.1.4: Generate a pattern using a written description.

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

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

B.1.2.3: Understand the differences between the symbols for "less than", "less than or equal to", "greater than", and "greater than or equal to".

Comparing and Ordering Decimals

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

B.1.3.1: Use mathematical models to represent and explain mathematical concepts and procedures.

Fraction, Decimal, Percent (Area and Grid Models)

B.1.3.2: Understand and use mathematical models such as:

B.1.3.2.a: the number line to model the relationship between rational numbers and rational number operations

Fraction, Decimal, Percent (Area and Grid Models)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

B.1.3.2.d: graphs, tables, and charts to describe data

Mascot Election (Pictographs and Bar Graphs)

B.1.3.3: Demonstrate how a situation can be represented in more than one way.

Fraction, Decimal, Percent (Area and Grid Models)

B.1.4: Analyze changes in various contexts.

B.1.4.1: Recognize and create patterns of change from everyday life using numerical or pictorial representations.

Function Machines 1 (Functions and Tables)

B.1.4.2: Generalize patterns of change and recognize the same general patterns presented in different representations.

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

C: Geometry

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

C.1.1: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

C.1.1.1: Identify, describe, and classify two-dimensional shapes and three-dimensional figures by their properties.

Classifying Quadrilaterals

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

C.1.3.1: Identify line of symmetry in simple geometric figures.

Quilting Bee (Symmetry)

D: Measurement

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

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

D.1.1.1: Understand properties (e.g., length, area, weight, volume) and select the appropriate type of unit for measuring each using both U.S. customary and metric systems.

Area of Triangles
Balancing Blocks (Volume)
Cannonball Clowns (Number Line Estimation)
Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)
Measuring Trees

D.1.1.4: Perform one-step conversions within a system of measurement (e.g., inches to feet, centimeters to meters).

Cannonball Clowns (Number Line Estimation)

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

D.1.2.1: Solve measurement problems using appropriate tools involving length, perimeter, weight, capacity, time, and temperature.

Cannonball Clowns (Number Line Estimation)

D.1.2.2: Select and use strategies to estimate measurements including length, distance, capacity, and time.

Cannonball Clowns (Number Line Estimation)

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: Construct, read, analyze, and interpret tables, charts, graphs, and data plots.

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

E.1.1.2: Construct, interpret, and analyze data from graphical representations and draw simple conclusions using bar graphs, line graphs, circle graphs, frequency tables, and Venn diagrams.

Distance-Time Graphs
Elevator Operator (Line Graphs)
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Measuring Trees
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)

E.1.1.3: Display, analyze, compare, and interpret different data sets, including data sets of different sizes.

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

E.1.1.4: Organize and display single-variable data in appropriate graphs and representations.

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

E.1.1.5: Organize, read, and display numerical (quantitative) and non-numerical (qualitative) data in a clear, organized, and accurate manner including correct titles, labels, and intervals or categories including:

E.1.1.5.a: frequency tables

Mascot Election (Pictographs and Bar Graphs)

E.1.1.5.b: stem and leaf plots

Reaction Time 2 (Graphs and Statistics)

E.1.1.5.c: bar, line, and circle graphs

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

E.1.1.5.e: pictorial displays

Forest Ecosystem
Mascot Election (Pictographs and Bar Graphs)

E.1.1.5.f: charts and tables

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

E.1.1.6: Formulate questions and identify data to be collected to correctly answer a question.

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

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

E.1.2.1: Organize and display single-variable data in appropriate graphs and representations and determine which types of graphs are appropriate for various data sets.

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

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

E.1.3.8: List all possible outcomes of simple events.

Spin the Big Wheel! (Probability)

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

E.1.4.1: Determine probabilities through experiments and/or simulations and compare the results with mathematical expressions.

Spin the Big Wheel! (Probability)

E.1.4.3: Identify simple experiments where the probabilities of all outcomes are equal.

Spin the Big Wheel! (Probability)