MA.4.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

MA.4.1.1: Identify place value from ten-thousandths to millions

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

MA.4.1.2: Identify and list factors, multiples, prime numbers, and composite numbers

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

MA.4.1.3: Identify equivalent forms of commonly used fractions and decimals

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (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)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Toy Factory (Set Models of Fractions)

MA.4.2: Understand the meaning of operations and how they relate to each other

MA.4.2.2: Use associative, commutative, and distributive properties as they apply to operations involving whole numbers

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

MA.4.3: Use computational tools and strategies fluently and, when appropriate, use estimation

MA.4.3.1: Recall all multiplication facts and the corresponding division facts up to 12 x 12

Critter Count (Modeling Multiplication)

MA.4.3.2: Select and use appropriate strategies and/or tools (e.g., mental math, calculators, paper/pencil, standard algorithms) for computing whole numbers

Adding Whole Numbers and 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 Whole Numbers and Decimals (Base-10 Blocks)

MA.4.3.3: Use a variety of strategies to add and subtract fractions with like and unlike denominators

Adding Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

MA.4.3.4: Add and subtract decimals to 3 places

Adding Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

MA.4.3.5: Determine the reasonableness of numerical solutions

Adding Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

MA.4.4: Understand attributes, units, and systems of units in measurement; and develop and use techniques, tools, and formulas for measuring

MA.4.4.2: Select and apply appropriate customary and metric units and tools to measure length, perimeter, and area for the degree of accuracy needed

Cannonball Clowns (Number Line Estimation)
Measuring Trees

MA.4.4.4: Estimate and measure surface area and volume using U.S. customary units and metric units

Cannonball Clowns (Number Line Estimation)

MA.4.5: Analyze properties of objects and relationships among the properties

MA.4.5.1: Classify different types of triangles and quadrilaterals according to their properties and identify the properties that define the classifications

Classifying Quadrilaterals

MA.4.5.3: Compare points, lines, line segments, and rays

City Tour (Coordinates)
Elevator Operator (Line Graphs)

MA.4.6: Use transformations and symmetry to analyze mathematical situations

MA.4.6.1: Use flips, slides, and turns to determine if two figures are congruent

Rock Art (Transformations)

MA.4.8: Select and use different representational systems, including coordinate geometry

MA.4.8.1: Use ordered pairs to plot points on a coordinate grid

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)

MA.4.9: Understand various types of patterns and functional relationships

MA.4.9.2: Represent the relationship between quantities in a variety of forms (e.g., manipulatives, tables, pictures, symbols)

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)

MA.4.10: Use symbolic forms to represent, model, and analyze mathematical situations

MA.4.10.3: Describe the rate of change numerically and verbally based on data recorded in a table or graph

Function Machines 1 (Functions and Tables)

MA.4.11: Pose questions and collect, organize, and represent data to answer those questions

MA.4.11.1: Pose questions, collect data using observations and experiments, and organize the data into tables or graphs

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

MA.4.11.2: Label the parts of a graph (e.g., axes, scale, legend, title)

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

MA.4.12: Interpret data using methods of exploratory data analysis

MA.4.12.1: Compare related data sets (e.g., height of 4th grade boys vs. height of 4th grade girls) with an emphasis on how the data are distributed

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

MA.4.12.2: Analyze important features in the shape of the graph of a data set

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

MA.4.14: Understand and apply basic notions of chance and probability

MA.4.14.1: Predict the probability of outcomes of simple experiments (e.g., coin toss, 4-colored spinner) and test the predictions

Spin the Big Wheel! (Probability)