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

4.1.1.b: recognize the place value of a given digit from hundredths to hundred-thousands;

Cannonball Clowns (Number Line Estimation)
Modeling Decimals (Base-10 Blocks)
Subtracting Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

4.1.1.c: compare and order whole numbers using the appropriate symbols (i.e., >, <, =);

Fraction, Decimal, Percent (Area and Grid Models)

4.1.1.d: model fractions as parts of unit wholes, as part of a set, as locations on number lines, and as divisions of whole numbers;

Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Fractions (Area Models)

4.1.1.e: recognize and generate equivalent forms of whole numbers and commonly used fractions and decimals;

Equivalent Fractions (Fraction Tiles)

4.1.1.f: use models to compare and order commonly used fractions;

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)

4.1.1.g: use concrete and pictorial representations to compare decimals;

Adding Decimals (Base-10 Blocks)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

4.1.1.h: use various models to represent, order, and compare whole numbers and commonly used fractions and mixed numbers (e.g., number lines, base ten blocks, Venn diagrams, hundreds boards);

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)

4.1.2: Understand meanings of operations and how they relate to one another.

4.1.2.a: explain the relationship between addition and subtraction;

Function Machines 3 (Functions and Problem Solving)

4.1.2.b: explain the relationship between multiplication and division;

Function Machines 3 (Functions and Problem Solving)

4.1.2.c: communicate the effects of addition, subtraction, multiplication, and division on size and order of numbers.

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

4.1.3: Solve problems, compute fluently, and make reasonable estimates.

4.1.3.c: add and subtract fractions with like denominators;

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

4.1.3.e: add, subtract, and multiply decimals (includes monetary units);

Adding Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Subtracting Decimals (Base-10 Blocks)

4.1.3.g: solve real-world problems involving one-step addition, subtraction, and multiplication;

Multiplying Decimals (Area Model)

4.2.1: Understand patterns, relations, and functions.

4.2.1.a: generalize and extend geometric and numerical patterns;

Pattern Flip (Patterns)

4.2.1.b: represent and analyze patterns and 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)
Pattern Flip (Patterns)

4.2.2: Represent and analyze mathematical situations and structures using algebraic symbols.

4.2.2.a: interpret and solve open sentences that involve addition, subtraction, multiplication, and division;

Number Line Frog Hop (Addition and Subtraction)

4.2.3: Illustrate general properties of operations.

4.2.3.a: apply commutative, associative, zero, and identity properties.

Chocomatic (Multiplication, Arrays, and Area)

4.2.4: Analyze change in various contexts.

4.2.4.a: investigate how a change in one variable relates to a change in a second variable.

Elevator Operator (Line Graphs)

4.3.1: Analyze characteristics and properties of two- and three-dimensional shapes.

4.3.1.h: draw lines of symmetry for two-dimensional geometric figures.

Quilting Bee (Symmetry)

4.3.2: Specify locations and describe spatial relationships using coordinate geometry.

4.3.2.a: use appropriate mathematical language to find and specify points on a grid using whole number coordinates.

City Tour (Coordinates)

4.3.3: Apply transformations and use symmetry to analyze mathematical situations.

4.3.3.a: investigate, predict, and describe the results of transformations of two-dimensional geometric figures (i.e., slides, flips, turns);

Rock Art (Transformations)

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

4.3.4.b: create and describe mental images of objects, patterns, and paths;

Pattern Flip (Patterns)

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

4.4.1.a: demonstrate understanding of the concepts of length, perimeter, area, weight, capacity, volume, time, and angle measure;

Fido's Flower Bed (Perimeter and Area)

4.4.1.b: apply appropriate estimation strategies using standard units of measure;

Measuring Motion

4.4.1.e: explore perimeter and area using a variety of models (e.g., geoboards, graph paper).

Fido's Flower Bed (Perimeter and Area)

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

4.4.2.e: develop strategies for estimating the perimeters and areas of geometric figures;

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

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

4.5.1.a: collect data using observations, surveys, and experiments;

Mascot Election (Pictographs and Bar Graphs)

4.5.1.c: represent data using tables, pictographs, line graphs, and bar graphs;

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

4.5.1.d: interpret data displayed in tables, pictographs, line graphs, and bar graphs;

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

4.5.2: Select and use appropriate statistical methods to analyze data.

4.5.2.a: explore measures of central tendency (i.e., mean, median, mode).

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

4.5.4: Understand and apply basic concepts of probability.

4.5.4.a: describe the likelihood or chance of events as certain, possible, or impossible;

Spin the Big Wheel! (Probability)

4.5.4.b: explain whether an event is likely or unlikely;

Spin the Big Wheel! (Probability)

4.5.4.c: predict the probability of outcomes of simple experiments.

Spin the Big Wheel! (Probability)