OA: Operations and Algebraic Thinking

OA.A: Use the four operations with whole numbers to solve problems.

OA.A.B.2: Basic students solve one-step problems involving multiplicative comparisons in mathematical contexts;

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

OA.A.P.2: Proficient students solve one-step problems involving multiplicative comparisons in both mathematical and real-world contexts;

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

OA.A.B.3: Basic students solve one-step problems involving all four operations (+, -, x, and ÷) in both mathematical and real-world contexts;

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Pattern Flip (Patterns)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

OA.A.P.3: Proficient students solve two-step problems involving all four operations (+, -, x, and ÷) in both mathematical and real-world contexts;

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Pattern Flip (Patterns)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

OA.A.A.3: Advanced students solve three-step problems involving all four operations (+, -, x, and ÷) in both mathematical and real-world contexts;

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Pattern Flip (Patterns)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

OA.A.P.4: Proficient students determine the remainder when two whole numbers are divided.

No Alien Left Behind (Division with Remainders)

OA.A.A.5: Advanced students assess the reasonableness of answers using estimation strategies.

Cannonball Clowns (Number Line Estimation)
Multiplying Decimals (Area Model)

OA.B: Gain familiarity with factors and multiples.

OA.B.B.1: Basic students recognize that a whole number is a multiple of each of its factors;

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

OA.B.A.1: Advanced students determine if a whole number is a multiple of 11, 12, or 15;

Factor Trees (Factoring Numbers)
Pattern Flip (Patterns)

OA.B.B.2: Basic students determine one factor pair for a whole number in the range of 1-100.

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

OA.B.P.2: Proficient students determine all factor pairs for a whole number in the range of 1-100.

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

OA.B.A.2: Advanced students determine if a whole number in the range of 1-100 is prime or composite.

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

OA.C: Generate and analyze patterns.

OA.C.B.1: Basic students predict a term in a pattern.

Pattern Finder
Pattern Flip (Patterns)

OA.C.P.1: Proficient students generate a pattern involving an addition or a subtraction rule and predict a term in a number pattern.

Pattern Flip (Patterns)

OA.C.A.1: Advanced students generate a pattern involving multiplication and predict a term in a number pattern;

Pattern Flip (Patterns)

OA.C.A.2: Advanced students identify features of the terms of a pattern that are not explicitly given in the rule.

Pattern Finder
Pattern Flip (Patterns)

NBT: Number and Operations-Base Ten

NBT.D: Generalize place value understanding for multi-digit whole numbers.

NBT.D.B.1: Basic students recognize that a digit in the tens place is a multiple of 10;

Rounding Whole Numbers (Number Line)

NBT.D.P.1: Proficient students recognize that a digit in one place represents 10 times what the same digit represents in the place to the right;

Rounding Whole Numbers (Number Line)

NBT.D.A.1: Advanced students recognize that a digit in one place represents a multiple of 10 times what another digit represents in the place to the right and apply this relationship as an equation;

Rounding Whole Numbers (Number Line)

NBT.D.B.3: Basic students compare two multi-digit whole numbers up to 1,000 based on the meaning of the digits in each place using <, >, and =;

Modeling Whole Numbers and Decimals (Base-10 Blocks)

NBT.D.P.3: Proficient students compare two multi-digit whole numbers up to 1,000,000 based on the meaning of the digits in each place using <, >, and =;

Modeling Whole Numbers and Decimals (Base-10 Blocks)

NBT.D.B.4: Basic students round any multi-digit whole number up to 10,000 to any place.

Rounding Whole Numbers (Number Line)

NBT.D.P.4: Proficient students round any multi-digit whole number up to 1,000,000 to any place.

Rounding Whole Numbers (Number Line)

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

NBT.E.B.1: Basic students add or subtract two or more numbers whose sum or difference is less than 1,000 using the standard algorithm;

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

NBT.E.P.1: Proficient students add or subtract two or more numbers whose sum or difference is less than 1,000,000 using the standard algorithm;

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

NBT.E.A.1: Advanced students add or subtract two or more numbers whose sum or difference is greater than 1,000,000 using the standard algorithm;

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

NBT.E.B.2: Basic students multiply a two-digit number by a one-digit number using strategies based on place value, properties of operations, or models;

Chocomatic (Multiplication, Arrays, and Area)

NBT.E.P.2: Proficient students multiply up to a four-digit number by a one-digit number using strategies based on place value, properties of operations, or models;

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

NBT.E.A.2: Advanced students multiply a two-digit number by a two-digit number using strategies based on place value, properties of operations, or models;

Chocomatic (Multiplication, Arrays, and Area)

NBT.E.B.3: Basic students determine the quotient of a two-digit dividend by a one-digit divisor with no remainder using strategies based on place value, properties of operations, the relationship between multiplication and division, or models.

No Alien Left Behind (Division with Remainders)

NBT.E.P.3: Proficient students determine the quotient of a dividend with up to four digits and a one-digit divisor with no remainder using strategies based on place value, properties of operations, the relationship between multiplication and division, or models.

No Alien Left Behind (Division with Remainders)

NBT.E.A.3: Advanced students determine the quotient of a dividend with up to four digits and a one-digit divisor with a remainder using strategies based on place value, properties of operations, the relationship between multiplication and division, or models.

No Alien Left Behind (Division with Remainders)

NF: Number and Operations-Fractions

NF.F: Extend understanding of fraction equivalence and ordering.

NF.F.B.1: Basic students identify equivalent fractions with unlike denominators;

Equivalent Fractions (Fraction Tiles)
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.F.P.1: Proficient students identify and generate equivalent fractions with unlike denominators;

Equivalent Fractions (Fraction Tiles)
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.F.A.1: Advanced students justify why two fractions are equivalent;

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
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.F.B.2: Basic students compare two fractions with different numerators or different denominators by using simple fractions such as 1/2.

Equivalent Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

NF.F.A.2: Advanced students justify how and when valid fractional comparisons can be made.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

NF.G: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

NF.G.B.1: Basic students interpret a fraction as a sum of unit fractions;

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

NF.G.P.1: Proficient students add and subtract two fractions with like denominators (2, 3, 4, 5, 6, 8, 10, 12, or 100) including mixed numbers in both mathematical and real-world contexts;

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

NF.G.A.1: Advanced students use properties of operations and inverse operations to add or subtract two fractions with like denominators including mixed numbers;

Adding Fractions (Fraction Tiles)
Fractions Greater than One (Fraction Tiles)

NF.G.A.2: Advanced students identify and represent addition and subtraction of fractions with like denominators in multiple ways;

Adding Fractions (Fraction Tiles)
Fractions Greater than One (Fraction Tiles)

NF.G.A.3: Advanced students solve two-step problems involving addition or subtraction of fractions with like denominators in mathematical or real-world contexts;

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

NF.H: Understand decimal notation for fractions, and compare decimal fractions.

NF.H.P.2: Proficient students write in decimal form, fractions with denominators of 10 or 100;

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

NF.H.A.1: Advanced students justify why two decimals are equivalent;

Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)

NF.H.B.1: Basic students compare two decimals of the same place value using the symbols <, >, or =.

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

NF.H.P.3: Proficient students compare two decimals to hundredths using the symbols <, >, or =.

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

NF.H.A.2: Advanced students justify how and when a valid decimal comparison can be made.

Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)

MD: Measurement and Data

MD.I: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

MD.I.P.1: Proficient students express measurements within either the metric or customary systems in a larger unit in terms of a smaller unit;

Cannonball Clowns (Number Line Estimation)

MD.I.B.3: Basic students solve for the area or perimeter of a rectangle given a drawing with all four measurements.

Chocomatic (Multiplication, Arrays, and Area)

MD.I.P.3: Proficient students solve for the area or perimeter of a rectangle given its length and width in both mathematical and real-world contexts.

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

MD.J: Represent and interpret data.

MD.J.A.1: Advanced students gather measurement data, plot this data on a line plot, and solve problems involving addition and subtraction of fractions.

Reaction Time 2 (Graphs and Statistics)

MD.K: Geometric measurement: understand concepts of angles and measure angles.

MD.K.B.1: Basic students identify angles with a specified measure.

Classifying Quadrilaterals

G: Geometry

G.L: Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

G.L.B.1: Basic students to classify/identify lines, angles, simple two-dimensional figures, and line-symmetric figures.

Classifying Quadrilaterals
Elevator Operator (Line Graphs)
Quilting Bee (Symmetry)

G.L.P.1: Proficient students identify lines, segments, rays, angles (right, acute, obtuse), perpendicular and parallel lines on a figure;

Classifying Quadrilaterals
Elevator Operator (Line Graphs)

G.L.P.2: Proficient students use parallel lines, perpendicular lines, and angles (acute, obtuse, and right) to classify two-dimensional figures including right triangles;

Classifying Quadrilaterals

G.L.A.1: Advanced students compare various two-dimensional figures.

Classifying Quadrilaterals

G.L.P.3: Proficient students identify line-symmetric figures and identify lines of symmetry.

Quilting Bee (Symmetry)