1: The student understands and applies the concepts and procedures of mathematics.

1.1: Understand and apply concepts and procedures from number sense.

1.1.1: Understand the concept and symbolic representation of whole numbers to at least 10,000.

1.1.1.a: Represent a number to at least 10,000 in different ways, including numerals, words, pictures, and physical models; and translate from one representation to another.

Fraction, Decimal, Percent (Area and Grid Models)

1.1.1.b: Represent and show numbers in standard and expanded forms.

Cannonball Clowns (Number Line Estimation)

1.1.1.c: State equivalent representations for a given number by decomposing and composing into sums for that number.

Cannonball Clowns (Number Line Estimation)
Number Line Frog Hop (Addition and Subtraction)

1.1.1.d: Represent and discuss place values of digits of whole numbers using words, pictures, or numbers.

Cannonball Clowns (Number Line Estimation)
Modeling Decimals (Base-10 Blocks)

1.1.2: Understand the relative values of whole numbers to at least 10,000.

1.1.2.b: Order three or more numbers to at least 10,000 from least to greatest on number lines, symbolically, or with illustrations.

Fraction, Decimal, Percent (Area and Grid Models)

1.1.3: Understand and use the commutative and identity properties of addition on whole numbers.

1.1.3.a: Explain or show how the commutative property works for addition and not subtraction using words, pictures, physical models, or numbers.

Number Line Frog Hop (Addition and Subtraction)

1.1.5: Understand the meaning of multiplication and division of whole numbers.

1.1.5.a: Illustrate multiplication and division using words, pictures, models, and/or numbers.

Chocomatic (Multiplication, Arrays, and Area)
Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)

1.1.5.b: Illustrate and explain the inverse relationship between multiplication and division using words, pictures, models, and/or numbers.

Function Machines 3 (Functions and Problem Solving)

1.1.5.c: Show and explain the relationship between multiplication and repeated addition.

Critter Count (Modeling Multiplication)

1.1.5.d: Show and explain the relationship between division and repeated subtraction.

No Alien Left Behind (Division with Remainders)

1.1.5.g: Explain the meaning of a remainder in a division problem.

No Alien Left Behind (Division with Remainders)

1.1.5.h: Select and/or use an appropriate operation to show understanding of addition, subtraction, multiplication, or division of whole numbers.

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

1.1.6: Use computational procedures for addition and subtraction of whole numbers.

1.1.6.b: Describe and show relationships between strategies and procedures for multiplying and dividing.

Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)

1.1.6.c: Complete multi-step computations that involve addition and subtraction and explain strategies.

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

1.1.6.d: Explain and apply strategies or use procedures to add three 2-digit or two 3-digit numbers, and/or subtract numbers with 1, 2, or 3 digits.

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

1.1.6.e: Explain and apply strategies or use procedures to add up to 5 one-digit whole numbers.

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

1.1.8: Understand and apply estimation strategies involving addition and subtraction of whole numbers to predict or determine the reasonableness of answers in situations.

1.1.8.b: Apply and explain a variety of estimation strategies, including multiples of 10 and 100, rounding, and compatible numbers prior to computation.

Target Sum Card Game (Multi-digit Addition)

1.2: Understand and apply concepts and procedures from measurement.

1.2.6: Understand and apply strategies to obtain reasonable estimates of length, perimeter, time, money, weight/mass, capacity and temperature measurements.

1.2.6.d: Use estimation to determine the perimeter of a rectangle or right triangle and record the number of units with a label.

Fido's Flower Bed (Perimeter and Area)
Measuring Motion

1.4: Understand and apply concepts and procedures from probability and statistics.

1.4.3: Understand how to ask questions to collect data about a specific topic.

1.4.3.b: Design a survey and collect and record data in easy-to-use formats such as tally marks, chart, or table.

Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

1.4.4: Understand, determine, and use mode to describe a set of data.

1.4.4.a: Describe a situation where mode is meaningful for a set of data.

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

1.4.4.b: Explain why mode is useful for describing a set of data.

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

1.4.4.c: Explain what the mode represents and how to find it in a given set of data.

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

1.4.4.d: Use pictures to demonstrate understanding of mode.

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

1.4.4.e: Determine the mode for a set of data.

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

1.4.5: Read and understand data from tables, charts, pictographs, and bar graphs.

1.4.5.b: Read, explain, and summarize data from tables, charts, pictographs, and bar graphs.

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

1.4.5.c: Read and interpret data from pictographs and bar graphs for comparative information.

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

1.5: Understand and apply concepts and procedures from algebraic sense.

1.5.1: Recognize, understand, and extend a pattern of shapes and /or objects or a pattern of numbers with a single addition or subtraction between terms.

1.5.1.a: Identify, describe, extend, or construct patterns of numbers based on a single addition or subtraction between terms.

Pattern Flip (Patterns)

1.5.1.b: Identify, describe, extend, or construct patterns of figures or objects.

Pattern Flip (Patterns)

1.5.1.c: Identify or write the missing elements in the beginning, middle, and/or end of a pattern.

Pattern Flip (Patterns)

1.5.1.d: Identify a pattern that fits a given rule.

Pattern Flip (Patterns)

1.5.4: Use a single variable to write simple expressions and equations that represent situations involving addition and subtraction of whole numbers.

1.5.4.a: Read expressions and equations involving a single variable.

Road Trip (Problem Solving)

1.5.4.c: Describe a situation that represents a given expression or equation that includes a single variable.

Road Trip (Problem Solving)

1.5.6: Apply algebraic properties to solve equations involving addition and subtraction.

1.5.6.a: Solve a one-step equation with addition or subtraction using manipulatives, pictures, physical models, and/or symbols.

Number Line Frog Hop (Addition and Subtraction)
Road Trip (Problem Solving)

1.5.6.b: Write and solve a one-step equation using addition or subtraction in a given situation.

Number Line Frog Hop (Addition and Subtraction)
Road Trip (Problem Solving)

1.5.6.c: Explain the meaning of the solution for an equation.

Road Trip (Problem Solving)

2: The student uses mathematics to define and solve problems.

2.2: Construct solutions.

2.2.2: Select and use appropriate concepts and procedures from number sense, measurement, geometric sense, or statistics to construct solutions.

2.2.2.a: Use addition and subtraction of whole numbers to construct a solution.

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

2.2.2.b: Use measurements related to length, perimeter, time, money value, weight/mass, capacity, and temperature to construct a solution.

Fido's Flower Bed (Perimeter and Area)

2.2.2.d: Use mode to construct a solution.

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

2.2.3: Apply a variety of strategies to construct solutions.

2.2.3.a: Use tools such as manipulatives, pictures, charts, calculators, or measurement tools to construct a solution.

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

3: The student uses mathematical reasoning.

3.1: Analyze information.

3.1.1: Analyze and compare numerical, measurement, geometric, and/or statistical information in familiar situations.

3.1.1.a: Compare mathematical information and results represented in tables, charts, pictographs, bar graphs, text, diagrams, figures, or pictures.

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

3.3: Verify results.

3.3.3: Understand how to validate thinking about numerical, measurement, geometric, and/or statistical ideas.

3.3.3.a: Explain and support thinking about numerical, measurement, geometric, and/or statistical ideas using patterns and relationships.

Pattern Flip (Patterns)

4: The student communicates knowledge and understanding in both everyday and mathematical language.

4.1: Gather information.

4.1.2: Extract numerical, measurement, geometric, and/or statistical information from one or two different sources for a given purpose.

4.1.2.a: Extract and use mathematical information from various sources such as pictures, symbols, text, tables, charts, models, pictographs, or bar graphs for a specific purpose.

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

4.2: Organize, represent, and share information.

4.2.1: Understand how to organize numerical, measurement, geometric, and/or statistical information to communicate for a given purpose.

4.2.1.a: Select a useful format and organize mathematical information for a given purpose.

Reaction Time 1 (Graphs and Statistics)

4.2.2: Understand how to represent numerical, measurement, geometric, and/or statistical information in graphs or other appropriate forms.

4.2.2.a: Represent mathematical information in pictures, tables, charts, pictographs, bar graphs, drawings, or other appropriate forms and include title, labels, and accurate data display.

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