1: Number Sense and Base Ten

1.1: Understand that, in a multi-digit whole number, a digit in one place represents 10 times what the same digit represents in the place to its right, and represents 1/10 times what the same digit represents in the place to its left.

Adding Decimals (Base-10 Blocks)
Cannonball Clowns (Number Line Estimation)
Cargo Captain (Multi-digit Subtraction)
Comparing and Ordering Decimals
Modeling Decimals (Area and Grid Models)
Modeling Decimals (Base-10 Blocks)
Subtracting Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

1.3: Read and write decimals in standard and expanded form. Compare two decimal numbers to the thousandths using the symbols >, =, or <.

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

1.5: Fluently multiply multi-digit whole numbers using strategies to include a standard algorithm.

Critter Count (Modeling Multiplication)

1.6: Divide up to a four-digit dividend by a two-digit divisor, using strategies based on place value, the properties of operations, and the relationship between multiplication and division.

Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
Pattern Flip (Patterns)

1.7: Add, subtract, multiply, and divide decimal numbers to hundredths using concrete area models and drawings.

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

2: Number Sense and Operations – Fractions

2.1: Add and subtract fractions with unlike denominators (including mixed numbers) using a variety of models, including an area model and number line.

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

2.3: Understand the relationship between fractions and division of whole numbers by interpreting a fraction as the numerator divided by the denominator (i.e., a/b = a ÷ b).

Fraction Artist 1 (Area Models of Fractions)

3: Algebraic Thinking and Operations

3.1: Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces).

Order of Operations

3.3: Investigate the relationship between two numerical patterns.

3.3.1: Generate two numerical patterns given two rules and organize in tables;

Function Machines 1 (Functions and Tables)

3.3.2: Translate the two numerical patterns into two sets of ordered pairs;

Function Machines 1 (Functions and Tables)
Points, Lines, and Equations

3.3.3: Graph the two sets of ordered pairs on the same coordinate plane;

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations

3.3.4: Identify the relationship between the two numerical patterns.

Function Machines 1 (Functions and Tables)

4: Geometry

4.1: Define a coordinate system.

4.1.1: The x- and y- axes are perpendicular number lines that intersect at 0 (the origin);

Elevator Operator (Line Graphs)
Points in the Coordinate Plane

4.1.2: Any point on the coordinate plane can be represented by its coordinates;

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Function Machines 2 (Functions, Tables, and Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations

4.1.3: The first number in an ordered pair is the x-coordinate and represents the horizontal distance from the origin;

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations

4.1.4: The second number in an ordered pair is the y-coordinate and represents the vertical distance from the origin.

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations

4.2: Plot and interpret points in the first quadrant of the coordinate plane to represent real-world and mathematical situations.

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations

4.3: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.

Classifying Quadrilaterals

4.4: Classify two-dimensional figures in a hierarchy based on their attributes.

Classifying Quadrilaterals

5: Measurement and Data Analysis

5.1: Convert measurements within a single system of measurement: customary (i.e., in., ft., yd., oz., lb., sec., min., hr.) or metric (i.e., mm, cm, m, km, g, kg, mL, L) from a larger to a smaller unit and a smaller to a larger unit.

Cannonball Clowns (Number Line Estimation)

5.3: Understand the concept of volume measurement.

5.3.3: Determine the volume of right rectangular prisms using the formula derived from packing right rectangular prisms and counting the layers of standard unit cubes.

Balancing Blocks (Volume)