NBT: Number Sense and Operations in Base Ten

NBT.A: Use place value system understanding to perform operations with multi-digit whole numbers to billions and decimals to thousandths.

NBT.A.1: Read, write and identify numbers from billions to thousandths using number names, base ten numerals and expanded form.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cannonball Clowns (Number Line Estimation)
Comparing and Ordering Decimals
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)

NBT.A.2: Compare two numbers from billions to thousandths using the symbols >, = or <, and justify the solution.

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

NBT.A.3: Understand that in a multi-digit number, a digit represents 1/10 times what it would represents in the place to its left.

Adding Whole Numbers and 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 Whole Numbers and Decimals (Base-10 Blocks)
Rounding Whole Numbers (Number Line)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)
Treasure Hunter (Decimals on the Number Line)
Whole Numbers with Base-10 Blocks

NBT.A.5.: Round numbers from billions to thousandths place.

Rounding Whole Numbers (Number Line)

NBT.A.6: Add and subtract multi-digit whole numbers and decimals to the thousandths place, and justify the solution.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Multiplying Decimals (Area Model)
Multiplying with Decimals
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals
Target Sum Card Game (Multi-digit Addition)

NBT.A.7: Multiply multi-digit whole numbers and decimals to the hundredths place, and justify the solution.

Critter Count (Modeling Multiplication)
Multiplying Decimals (Area Model)

NBT.A.8: Divide multi-digit whole numbers and decimals to the hundredths place using up to two-digit divisors and four-digit dividends, and justify the solution.

Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
No Alien Left Behind (Division with Remainders)
Pattern Flip (Patterns)

NF: Number Sense and Operations in Fractions

NF.A: Understand the relationship between fractions and decimals (denominators that are factors of 100).

NF.A.1: Understand that parts of a whole can be expressed as fractions and/or decimals.

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

NF.A.2: Convert decimals to fractions and fractions to decimals.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

NF.A.3: Compare and order fractions and/or decimals to the thousandths place using the symbols >, = or <, and justify the solution.

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

NF.B: Perform operations and solve problems with fractions and decimals.

NF.B.1: Estimate results of sums, differences and products with fractions and decimals to the thousandths.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Fraction Artist 2 (Area Models of Fractions)
Fractions Greater than One (Fraction Tiles)
Multiplying Decimals (Area Model)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

NF.B.3: Solve problems involving addition and subtraction of fractions and mixed numbers with unlike denominators, and justify the solution.

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

NF.B.4: Extend the concept of multiplication to multiply a fraction or whole number by a fraction.

NF.B.4.a: Recognize the relationship between multiplying fractions and finding the areas of rectangles with fractional side lengths.

Multiplying Fractions

NF.B.4.b: Calculate and interpret the product of a fraction by a whole number and a whole number by a fraction.

Multiplying Fractions

NF.B.4.c: Calculate and interpret the product of two fractions less than one.

Multiplying Fractions

RA: Relationships and Algebraic Thinking

RA.A: Represent and analyze patterns and relationships.

RA.A.1: Investigate the relationship between two numeric patterns.

RA.A.1.a: Generate two numeric patterns given two rules.

City Tour (Coordinates)
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Pattern Finder
Pattern Flip (Patterns)
Points, Lines, and Equations

RA.A.1.b: Translate two numeric patterns into two sets of ordered pairs.

City Tour (Coordinates)
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Pattern Finder
Pattern Flip (Patterns)
Points, Lines, and Equations

RA.A.1.c: Graph numeric patterns on the Cartesian coordinate plane.

City Tour (Coordinates)
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Pattern Finder
Pattern Flip (Patterns)
Points, Lines, and Equations

RA.A.1.d: Identify the relationship between two numeric patterns.

City Tour (Coordinates)
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Pattern Finder
Pattern Flip (Patterns)
Points, Lines, and Equations

RA.A.2: Write a rule to describe or explain a given numeric pattern.

Function Machines 1 (Functions and Tables)

RA.B: Write and interpret numerical expressions.

RA.B.1: Write, evaluate and interpret numeric expressions using the order of operations.

Order of Operations

GM: Geometry and Measurement

GM.A: Classify two- and three-dimensional geometric shapes.

GM.A.1: Understand that attributes belonging to a category of figures also belong to all subcategories.

Classifying Quadrilaterals

GM.A.2: Classify figures in a hierarchy based on properties.

Classifying Quadrilaterals
Classifying Triangles
Parallelogram Conditions
Special Parallelograms

GM.B: Understand and compute volume.

GM.B.1: Understand the concept of volume and recognize that volume is measured in cubic units.

GM.B.1.a: Describe a cube with edge length 1 unit as a “unit cube” and is said to have “one cubic unit” of volume and can be used to measure volume.

Balancing Blocks (Volume)
Pyramids and Cones

GM.B.1.b: Understand that the volume of a right rectangular prism can be found by stacking multiple layers of the base.

Balancing Blocks (Volume)
Prisms and Cylinders
Pyramids and Cones

GM.B.2: Apply the formulas V = l × w × h and V = B × h for volume of right rectangular prisms with whole-number edge lengths.

Balancing Blocks (Volume)
Prisms and Cylinders

GM.C: Graph points on the Cartesian coordinate plane within the first quadrant to solve problems.

GM.C.1: Define a first quadrant Cartesian coordinate system.

GM.C.1.a: Represent the axes as scaled perpendicular number lines that both intersect at 0, the origin.

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Points in the Coordinate Plane
Points, Lines, and Equations

GM.C.1.b: Identify any point on the Cartesian coordinate plane by its ordered pair coordinates.

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Points in the Coordinate Plane
Points, Lines, and Equations

GM.C.1.c: Define the first number in an ordered pair as the horizontal distance from the origin.

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Points in the Coordinate Plane
Points, Lines, and Equations

GM.C.1.d: Define the second number in an ordered pair as the vertical distance from the origin.

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Points in the Coordinate Plane
Points, Lines, and Equations

GM.C.2: Plot and interpret points in the first quadrant of the Cartesian coordinate plane.

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

GM.D: Solve problems involving measurement and conversions within a measurement system.

GM.D.1: Convert measurements of capacity, length and weight within a given measurement system.

Cannonball Clowns (Number Line Estimation)

GM.D.2: Solve multi-step problems that require measurement conversions.

Cannonball Clowns (Number Line Estimation)

DS: Data and Statistics

DS.A: Represent and analyze data.

DS.A.1: Create a line graph to represent a data set, and analyze the data to answer questions and solve problems.

Distance-Time Graphs
Elevator Operator (Line Graphs)
Graphing Skills
Prairie Ecosystem

DS.A.2: Create a line plot to represent a given or generated data set, and analyze the data to answer questions and solve problems, recognizing the outliers and generating the median.

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