NBT: Number Sense and Operations in Base Ten

NBT.A: Use place value understanding and properties of operations to perform multi-digit arithmetic.

NBT.A.1: Round whole numbers to the nearest 10 or 100.

Rounding Whole Numbers (Number Line)

NBT.A.2: Read, write and identify whole numbers within 100,000 using base ten numerals, number names and expanded form.

Cannonball Clowns (Number Line Estimation)

NBT.A.3: Demonstrate fluency with addition and subtraction within 1000.

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Equivalent Fractions (Fraction Tiles)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Number Line Frog Hop (Addition and Subtraction)
Rounding Whole Numbers (Number Line)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)
Whole Numbers with Base-10 Blocks

NF: Number Sense and Operations in Fractions

NF.A: Develop understanding of fractions as numbers.

NF.A.1: Understand a unit fraction as the quantity formed by one part when a whole is partitioned into equal parts.

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)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

NF.A.2: Understand that when a whole is partitioned equally, a fraction can be used to represent a portion of the whole.

NF.A.2.a: Describe the numerator as representing the number of pieces being considered.

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)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

NF.A.2.b: Describe the denominator as the number of pieces that make the whole.

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)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

NF.A.3: Represent fractions on a number line.

NF.A.3.a: Understand the whole is the interval from 0 to 1.

Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

NF.A.3.b: Understand the whole is partitioned into equal parts.

Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

NF.A.3.c: Understand a fraction represents the endpoint of the length a given number of partitions from 0.

Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

NF.A.4: Demonstrate that two fractions are equivalent if they are the same size, or the same point on a number line.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

NF.A.5: Recognize and generate equivalent fractions using visual models, and justify why the fractions are equivalent.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

NF.A.6: Compare two fractions with the same numerator or denominator using the symbols >, = or <, and justify the solution.

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)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

NF.A.7: Explain why fraction comparisons are only valid when the two fractions refer to the same whole.

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)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

RA: Relationships and Algebraic Thinking

RA.A: Represent and solve problems involving multiplication and division.

RA.A.1: Interpret products of whole numbers.

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

RA.A.2: Interpret quotients of whole numbers.

No Alien Left Behind (Division with Remainders)

RA.A.3: Describe in words or drawings a problem that illustrates a multiplication or division situation.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)

RA.A.4: Use multiplication and division within 100 to solve problems.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)
Pattern Flip (Patterns)

RA.A.5: Determine the unknown number in a multiplication or division equation relating three whole numbers.

Factor Trees (Factoring Numbers)

RA.C: Multiply and divide within 100.

RA.C.1: Multiply and divide with numbers and results within 100 using strategies such as the relationship between multiplication and division or properties of operations. Know all products of two one-digit numbers.

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

RA.C.2: Demonstrate fluency with products within 100.

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

RA.D: Use the four operations to solve word problems.

RA.D.1: Write and solve two-step problems involving variables using any of the four operations.

Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Using Algebraic Equations
Using Algebraic Expressions

RA.D.2: Interpret the reasonableness of answers using mental computation and estimation strategies including rounding.

Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Using Algebraic Equations
Using Algebraic Expressions

RA.E: Identify and explain arithmetic patterns.

RA.E.1: Identify arithmetic patterns and explain the patterns using properties of operations.

Function Machines 1 (Functions and Tables)
Pattern Flip (Patterns)

GM: Geometry and Measurement

GM.A: Reason with shapes and their attributes.

GM.A.1: Understand that shapes in different categories may share attributes and that the shared attributes can define a larger category.

Classifying Quadrilaterals

GM.A.2: Distinguish rhombuses and rectangles as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to these subcategories.

Classifying Quadrilaterals

GM.A.3: Partition shapes into parts with equal areas, and express the area of each part as a unit fraction of the whole.

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Modeling Fractions (Area Models)

GM.B: Solve problems involving the measurement of time, liquid volumes and weights of objects.

GM.B.1: Tell and write time to the nearest minute.

Elapsed Time

GM.B.3: Solve problems involving addition and subtraction of minutes.

Elapsed Time

GM.B.4: Measure or estimate length, liquid volume and weight of objects.

Balancing Blocks (Volume)
Cannonball Clowns (Number Line Estimation)
Measuring Trees

GM.B.5: Use the four operations to solve problems involving lengths, liquid volumes or weights given in the same units.

Cannonball Clowns (Number Line Estimation)

GM.C: Understand concepts of area.

GM.C.1: Calculate area by using unit squares to cover a plane figure with no gaps or overlaps.

Balancing Blocks (Volume)
Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)

GM.C.3: Demonstrate that tiling a rectangle to find the area and multiplying the side lengths result in the same value.

Balancing Blocks (Volume)
Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)

GM.C.4: Multiply whole-number side lengths to solve problems involving the area of rectangles.

Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)

GM.C.5: Find rectangular arrangements that can be formed for a given area.

Balancing Blocks (Volume)
Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)

GM.C.6: Decompose a rectangle into smaller rectangles to find the area of the original rectangle.

Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)

GM.D: Understand concepts of perimeter.

GM.D.1: Solve problems involving perimeters of polygons.

Fido's Flower Bed (Perimeter and Area)

GM.D.2: Understand that rectangles can have equal perimeters but different areas, or rectangles can have equal areas but different perimeters.

Fido's Flower Bed (Perimeter and Area)

DS: Data and Statistics

DS.A: Represent and analyze data.

DS.A.1: Create frequency tables, scaled picture graphs and bar graphs to represent a data set with several categories.

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

DS.A.2: Solve one- and two-step problems using information presented in bar and/or picture graphs.

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

DS.A.3: Create a line plot to represent data.

Reaction Time 2 (Graphs and Statistics)