1: Number, Number Sense and Operations

1.A: Use place value structure of the base-ten number system to read, write, represent and compare whole numbers and decimals.

1.A.2: Use place value concepts to represent whole numbers and decimals using numerals, words, expanded notation and physical models. For example:

1.A.2.a: Recognize 100 means "10 tens" as well as a single entity (1 hundred) through physical models and trading games.

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

1.A.2.b: Describe the multiplicative nature of the number system; e.g., the structure of 3205 as 3 x 1000 plus 2 x 100 plus 5 x 1.

Cannonball Clowns (Number Line Estimation)

1.A.2.c: Model the size of 1000 in multiple ways; e.g., packaging 1000 objects into 10 boxes of 100, modeling a meter with centimeter and decimeter strips, or gathering 1000 pop-can tabs.

Modeling Decimals (Base-10 Blocks)

1.A.2.d: Explain the concept of tenths and hundredths using physical models, such as metric pieces, base ten blocks, decimal squares or money.

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

1.A.3: Use mathematical language and symbols to compare and order; e.g., less than, greater than, at most, at least, <, >, =, "lesser than or equal", "greater than or equal".

Fraction, Decimal, Percent (Area and Grid Models)

1.B: Recognize and generate equivalent representations for whole numbers, fractions and decimals.

1.B.7: Recognize and use decimal and fraction concepts and notations as related ways of representing parts of a whole or a set; e.g., 3 of 10 marbles are red can also be described as 3/10 and 3 tenths are red.

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

1.C: Represent commonly used fractions and mixed numbers using words and physical models.

1.C.5: Represent fractions and mixed numbers using words, numerals and physical models.

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

1.D: Use models, points of reference and equivalent forms of commonly used fractions to judge the size of fractions and to compare, describe and order them.

1.D.3: Use mathematical language and symbols to compare and order; e.g., less than, greater than, at most, at least, <, >, =, "less than or equal", "greater than or equal".

Fraction, Decimal, Percent (Area and Grid Models)

1.D.6: Compare and order commonly used fractions and mixed numbers using number lines, models (such as fraction circles or bars), points of reference (such as more or less than ½), and equivalent forms using physical or visual models.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
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.E: Recognize and classify numbers as prime or composite and list factors.

Factor Trees (Factoring Numbers)

1.G: Model and use commutative and associative properties for addition and multiplication.

1.G.11: Model and use the commutative and associative properties for addition and multiplication.

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

1.H: Use relationships between operations, such as subtraction as the inverse of addition and division as the inverse of multiplication.

1.H.10: Explain and use relationships between operations, such as:

1.H.10.a: relate addition and subtraction as inverse operations;

Function Machines 3 (Functions and Problem Solving)

1.H.10.b: relate multiplication and division as inverse operations;

Function Machines 3 (Functions and Problem Solving)

1.H.10.c: relate addition to multiplication (repeated addition);

Critter Count (Modeling Multiplication)

1.H.10.d: relate subtraction to division (repeated subtraction).

No Alien Left Behind (Division with Remainders)

1.I: Demonstrate fluency in multiplication facts with factors through 10 and corresponding divisions.

1.I.13: Demonstrate fluency in multiplication facts through 10 and corresponding division facts.

Factor Trees (Factoring Numbers)

1.K: Analyze and solve multi-step problems involving addition, subtraction, multiplication and division of whole numbers.

1.K.12: Add and subtract whole numbers with and without regrouping.

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

1.L: Use a variety of methods and appropriate tools (mental math, paper and pencil, calculators) for computing with whole numbers.

1.L.8: Model, represent and explain multiplication; e.g., repeated addition, skip counting, rectangular arrays and area model. For example:

1.L.8.b: Understand that, unlike addition and subtraction, the factors in multiplication and division may have different units; e.g., 3 boxes of 5 cookies each.

No Alien Left Behind (Division with Remainders)

1.L.9: Model, represent and explain division; e.g., sharing equally, repeated subtraction, rectangular arrays and area model. For example:

1.L.9.a: Translate contextual situations involving division into conventional mathematical symbols.

No Alien Left Behind (Division with Remainders)

1.L.9.b: Explain how a remainder may impact an answer in a real-world situation; e.g., 14 cookies being shared by 4 children.

No Alien Left Behind (Division with Remainders)

1.M: Add and subtract commonly used fractions with like denominators and decimals, using models and paper and pencil.

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

2: Measurement

2.D: Identify appropriate tools and apply counting techniques for measuring side lengths, perimeter and area of squares, rectangles, and simple irregular two-dimensional shapes, volume of rectangular prisms, and time and temperature.

2.D.7: Make estimates for perimeter, area and volume using links, tiles, cubes and other models.

Fido's Flower Bed (Perimeter and Area)

3: Geometry and Spatial Sense

3.G: Find and name locations in coordinate systems.

3.G.3: Find and name locations on a labeled grid or coordinate system; e.g., a map or graph.

City Tour (Coordinates)

3.H: Identify and describe line and rotational symmetry in two-dimensional shapes and designs.

3.H.4: Draw lines of symmetry to verify symmetrical two-dimensional shapes.

Quilting Bee (Symmetry)

3.I: Describe, identify and model reflections, rotations and translations, using physical materials.

Quilting Bee (Symmetry)
Rock Art (Transformations)

3.J: Describe a motion or series of transformations that show two shapes are congruent.

Quilting Bee (Symmetry)
Rock Art (Transformations)

4: Patterns, Functions and Algebra

4.A: Analyze and extend patterns, and describe the rule in words.

4.A.1: Extend multiplicative and growing patterns, and describe the pattern or rule in words.

Pattern Flip (Patterns)

4.B: Use patterns to make predictions, identify relationships, and solve problems.

4.B.3: Use patterns to make predictions, identify relationships, and solve problems.

Pattern Flip (Patterns)

4.C: Write and solve open sentences and explain strategies.

4.C.5: Write, solve and explain simple mathematical statements, such as 7 + "square" > 8 or "triangle" + 8 = 10.

Road Trip (Problem Solving)

4.C.6: Express mathematical relationships as equations and inequalities.

Road Trip (Problem Solving)

4.F: Construct and use a table of values to solve problems associated with mathematical relationships.

4.F.7: Create tables to record, organize and analyze data to discover patterns and rules.

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

4.G: Describe how a change in one variable affects the value of a related variable.

4.G.8: Identify and describe quantitative changes, especially those involving addition and subtraction; e.g., the height of water in a glass becoming 1 centimeter lower each week due to evaporation.

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

5: Data Analysis and Probability

5.A: Gather and organize data from surveys and classroom experiments, including data collected over a period of time.

5.A.1: Collect and organize data from an experiment, such as recording and classifying observations or measurements, in response to a question posed.

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

5.B: Read and interpret tables, charts, graphs (bar, picture, line, line plot), and timelines as sources of information, identify main idea, draw conclusions, and make predictions.

5.B.4: Support a conclusion or prediction orally and in writing, using information in a table or graph.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)

5.B.7: Analyze and interpret information represented on a timeline.

Reaction Time 2 (Graphs and Statistics)

5.C: Construct charts, tables and graphs to represent data, including picture graphs, bar graphs, line graphs, line plots and Venn diagrams.

5.C.6: Translate information freely among charts, tables, line plots, picture graphs and bar graphs; e.g., create a bar graph from the information in a chart.

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

5.D: Read, interpret and construct graphs in which icons represent more than a single unit or intervals greater than one; e.g., each "bicycle picture" = 10 bicycles or the intervals on an axis are multiples of 10.

5.D.2: Draw and interpret picture graphs in which a symbol or picture represents more than one object.

Mascot Election (Pictographs and Bar Graphs)

5.D.3: Read, interpret and construct bar graphs with intervals greater than one.

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

5.E: Describe data using mode, median and range.

5.E.8: Identify the mode of a data set and describe the information it gives about a data set.

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

5.F: Conduct a simple probability experiment and draw conclusions about the likelihood of possible outcomes.

5.F.9: Conduct a simple experiment or simulation of a simple event, record the results in a chart, table or graph, and use the results to draw conclusions about the likelihood of possible outcomes.

Reaction Time 2 (Graphs and Statistics)