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 concepts and symbolic representations of decimals in money and fractions.

1.1.1.a: Represent parts of a whole or parts of a set as fractions with common denominators.

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)
Toy Factory (Set Models of Fractions)

1.1.1.c: Illustrate fractions as parts of a whole object, number, or set.

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)

1.1.1.d: Explain or show how a fraction can be decomposed as a sum of smaller fractions.

Adding Fractions (Fraction Tiles)

1.1.2: Understand the relative values of decimals in money and fractions.

1.1.2.a: Describe or show equivalent fractions using models, including pictures, paper folding, geoboards, and parallel 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)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

1.1.2.b: Approximate halves, thirds, and fourths in relationship to whole units on a number line.

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)

1.1.2.c: Order fractions with like-denominators using numbers, pictures, and objects.

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)

1.1.2.e: Explain how to order fractions and/or decimals related to money.

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 Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Treasure Hunter (Decimals on the Number Line)

1.1.2.f: Explain why one fraction is greater than, less than, or equal to another fraction.

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)

1.1.3: Understand and use the associative property of addition and multiplication and the commutative, identity, and zero properties of multiplication on whole numbers.

1.1.3.a: Explain the commutative property of multiplication and give examples.

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

1.1.3.b: Explain the identity property of addition and multiplication and give examples.

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

1.1.3.c: Explain why equations are true or false based on one of the properties of addition or multiplication.

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

1.1.3.d: Illustrate and demonstrate the use of the commutative, associative, or identity property of addition or multiplication using words, pictures, numbers, or objects.

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

1.1.3.e: Use addition or multiplication properties to replicate a computational strategy when given an example.

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

1.1.3.f: Illustrate and demonstrate the use of the zero property of multiplication on whole numbers.

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

1.1.5: Understand the meaning of addition and subtraction of like-denominator fractions.

1.1.5.a: Represent addition and subtraction of fractions with like-denominators using numbers, pictures, and models including everyday objects, fraction circles, number lines, and geoboards.

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)
Fractions Greater than One (Fraction Tiles)
Toy Factory (Set Models of Fractions)

1.1.5.b: Use joining, separating, part-part-whole, and comparison situations to add and subtract like-denominator fractions.

Adding Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)

1.1.5.c: Translate a given picture or illustration into an equivalent symbolic representation of addition and subtraction of like denominator 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)
Fractions Greater than One (Fraction Tiles)
Toy Factory (Set Models of Fractions)

1.1.5.d: Select and/or use an appropriate operation to show understanding of addition and subtraction of like-denominator fractions.

Adding Fractions (Fraction Tiles)

1.1.6: Use computational procedures for multiplication and division of whole numbers.

1.1.6.a: Select and develop strategies that help with recall of multiplication and division through 12s.

Factor Trees (Factoring Numbers)

1.1.6.b: Select and test algorithms used in computational situations that involve multiplication and division of whole numbers and explain strategies.

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

1.1.6.e: Appropriately apply and explain the concept of remainder in a given context.

No Alien Left Behind (Division with Remainders)

1.1.8: Apply estimation strategies involving multiplication and division of whole numbers to predict or determine the reasonableness of answers in situations.

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

Target Sum Card Game (Multi-digit Addition)

1.2: Understand and apply concepts and procedures from measurement.

1.2.1: Understand the concept of area.

1.2.1.a: Demonstrate how area covers a figure and perimeter encloses an area.

Fido's Flower Bed (Perimeter and Area)

1.2.1.b: Illustrate the difference between perimeter and area with drawings.

Fido's Flower Bed (Perimeter and Area)

1.2.4: Apply a procedure to measure length, perimeter, and area.

1.2.4.b: Measure length and perimeter using the suggested procedure.

Fido's Flower Bed (Perimeter and Area)

1.2.4.c: Measure area using the suggested procedure with manipulatives or grid paper and counting the square units.

Fido's Flower Bed (Perimeter and Area)

1.2.6: Understand and apply strategies to obtain reasonable estimates of area measurements for irregular figures.

1.2.6.a: Describe situations in which estimated measurements are appropriate.

Measuring Motion

1.2.6.b: Explain a process that can be used to find a reasonable estimate of the area measurement of an irregular figure.

Fido's Flower Bed (Perimeter and Area)

1.2.6.d: Use estimation to determine the area of a rectangle and record the number of units with a label.

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

1.3: Understand and apply concepts and procedures from geometric sense.

1.3.1: Understand the concepts of parallel and perpendicular lines and line symmetry in 2-dimensional shapes and figures.

1.3.1.c: Draw one or more lines of symmetry in a given 2-dimensional figure.

Quilting Bee (Symmetry)

1.3.1.d: Describe properties of 2-dimensional figures including parallel and perpendicular lines or lines of symmetry.

Quilting Bee (Symmetry)

1.3.3: Locate or plot points in the first quadrant on a coordinate grid.

1.3.3.a: Locate points or objects in the first quadrant on a coordinate grid in terms of horizontal and vertical position.

City Tour (Coordinates)

1.3.3.b: Plot a given set of ordered pairs in the first quadrant of a coordinate grid.

City Tour (Coordinates)

1.3.3.c: Use ordered pairs to name the location of points or objects in the first quadrant of a coordinate grid.

City Tour (Coordinates)

1.3.4: Understand the change made to the position of a 2-dimensional shape or figure by a single translation (slide) or reflection (flip) with or without a grid.

1.3.4.a: Show and explain a translation or reflection using a 2-dimensional shape or figure.

Quilting Bee (Symmetry)
Rock Art (Transformations)

1.3.4.b: Record results of a translation or a reflection on a grid by listing the ordered pairs of the new vertices.

Quilting Bee (Symmetry)
Rock Art (Transformations)

1.3.4.c: Demonstrate or draw and describe a single translation or a single reflection.

Quilting Bee (Symmetry)
Rock Art (Transformations)

1.3.4.d: Describe translations and/or reflections in designs.

Quilting Bee (Symmetry)
Rock Art (Transformations)

1.3.4.e: Draw the figure resulting from a particular translation or reflection on a grid.

Quilting Bee (Symmetry)
Rock Art (Transformations)

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

1.4.1: Understand when events are certain, impossible, possible, more likely, less likely, or equally likely.

1.4.1.a: Predict the likelihood of events and use the vocabulary of probability.

Spin the Big Wheel! (Probability)

1.4.1.b: Explain why some outcomes are equally likely or more or less likely to happen than others.

Spin the Big Wheel! (Probability)

1.4.1.c: Explain why events are certain or uncertain.

Spin the Big Wheel! (Probability)

1.4.1.d: Place events in order based on their likelihood of occurrence.

Spin the Big Wheel! (Probability)

1.4.1.e: Identify and describe possible and impossible events.

Spin the Big Wheel! (Probability)

1.4.1.f: Determine and explain which events are more likely, less likely, or equally likely to happen, given an area model.

Spin the Big Wheel! (Probability)

1.4.3: Understand how to use appropriate questions and samples to collect information about a specific topic.

1.4.3.c: Select data collection methods, including conducting a survey, using observations, or measuring.

Mascot Election (Pictographs and Bar Graphs)

1.4.3.d: Make and explain a plan to collect, record, and organize data.

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 and median to describe a set of data.

1.4.4.a: Explain what the median represents and how to find it for a set of data.

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

1.4.4.b: Determine the mode and median for a set of data.

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

1.4.4.c: Explain whether the mode or median better describes a set of data.

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

1.4.4.d: Determine data points that would result in a given median.

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

1.4.4.e: Use pictures to illustrate median.

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

1.4.4.f: Complete a set of data based on a given mode or median and a partial set of data.

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

1.4.5: Read and understand data from line plots and pictographs.

1.4.5.a: Read and interpret data from line plots.

Mascot Election (Pictographs and Bar Graphs)

1.4.5.b: Describe a trend from a given line plot.

Mascot Election (Pictographs and Bar Graphs)

1.4.5.c: Summarize text and data in a given table, chart, line plot, pictograph, or bar graph.

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

1.4.5.d: Describe the completeness and accuracy of data in a graph, given a set of data.

Graphing Skills

1.4.5.e: Explain whether the components of a graph are appropriate.

Graphing Skills

1.4.5.f: Explain whether a line plot, pictograph, table, chart, or bar graph is more appropriate for a given situation or to answer a question most effectively.

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

1.4.5.g: Read and interpret data from a pictograph where the scale is more than one unit.

Mascot Election (Pictographs and Bar Graphs)

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, subtraction, or multiplication between terms.

1.5.1.a: Extend, describe, or construct patterns of numbers, using addition, subtraction, or multiplication, based on a single operation between terms.

Pattern Flip (Patterns)

1.5.1.b: Extend, describe, or construct patterns of shapes or objects.

Pattern Flip (Patterns)

1.5.1.c: Extend and represent patterns using words, tables, numbers, physical models, and/or pictures.

Pattern Flip (Patterns)

1.5.1.d: Construct a number pattern and explain what makes it a pattern.

Pattern Flip (Patterns)

1.5.1.e: Determine missing elements in the beginning, middle, and/or end of a pattern.

Pattern Flip (Patterns)

1.5.2: Describe a rule for a pattern with a single arithmetic operation.

1.5.2.a: Identify or generate a rule for a pattern with a single arithmetic operation in order to extend or fill in parts of the pattern.

Pattern Flip (Patterns)

1.5.2.b: Show growing patterns using objects or pictures and explain the rule.

Pattern Flip (Patterns)

1.5.2.c: Determine the operation that changes the elements of one set of numbers into the elements of another set of numbers such as using a function machine.

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Pattern Flip (Patterns)

1.5.2.d: Explain why a given rule fits a pattern based on a single arithmetic operation in the rule.

Pattern Flip (Patterns)

1.5.4: Use a single variable to write expressions and equations that represent situations involving multiplication and division of whole numbers.

1.5.4.a: Read formulas, 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 multiplication and division.

1.5.6.a: Solve a simple equation using addition, subtraction, multiplication, or division.

Road Trip (Problem Solving)

1.5.6.b: Write and solve a one-step equation for a given situation.

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, and/or statistics to construct solutions.

2.2.2.a: Use addition, subtraction, multiplication, and/or division 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, temperature, or area to construct a solution.

Fido's Flower Bed (Perimeter and Area)

2.2.2.c: Use properties of 2-dimensional figures, congruence, location, translation, or reflection in the first quadrant of a grid to construct a solution.

Rock Art (Transformations)

2.2.2.d: Use median and/or mode to construct a solution.

Movie Reviewer (Mean and Median)
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, line plots, 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)

3.1.1.c: Differentiate between a valid and invalid comparison of mathematical information or results.

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, bar graphs, or line plots for a specific purpose.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
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, line plots, drawings, or other appropriate forms and include title, labels, appropriate and consistent scales, and accurate data display.

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