MA 4.1: Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA.4.1.1: Students will demonstrate, represent, and show relationships among fractions and decimals within the base-ten number system.

MA 4.1.1.a: Read, write, and demonstrate multiple equivalent representations for whole numbers up to one million and decimals to the hundredths, using objects, visual representations, standard form, word form, and expanded notation.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)

MA 4.1.1.b: Recognize a digit in one place represents ten times what it represents in the place to its right and 1/10 what it 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)
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)

MA 4.1.1.c: Classify a number up to 100 as prime or composite.

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

MA 4.1.1.e: Determine factors of any whole number up to 100.

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

MA 4.1.1.f: Compare whole numbers up to one million and decimals through the hundredths place using >, <, and = symbols, and visual representations.

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 4.1.1.g: Round a multi-digit whole number to any given place.

Rounding Whole Numbers (Number Line)

MA 4.1.1.h: Use decimal notation for fractions with denominators of 10 or 100.

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

MA 4.1.1.i: Generate and explain equivalent fractions by multiplying by an equivalent fraction of 1.

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)

MA 4.1.1.j: Explain how to change a mixed number to a fraction and how to change a fraction to a mixed number.

Fractions Greater than One (Fraction Tiles)

MA 4.1.1.k: Compare and order fractions having unlike numerators and unlike denominators using visual representations (number line), comparison symbols and verbal reasoning (e.g., using benchmarks or common numerators or common denominators).

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)

MA 4.1.1.l: Decompose a fraction into a sum of fractions with the same denominator in more than one way and record each decomposition with an equation and a visual representation.

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)
Fraction, Decimal, Percent (Area and Grid Models)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

MA 4.1.2: Students will demonstrate the meaning of addition and subtraction of whole numbers and fractions and compute accurately.

MA 4.1.2.a: Add and subtract multi-digit numbers 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)

MA 4.1.2.b: Multiply a four-digit whole number by a one-digit whole number.

Critter Count (Modeling Multiplication)

MA 4.1.2.d: Divide up to a four-digit whole number by a one-digit divisor with and without a remainder.

No Alien Left Behind (Division with Remainders)

MA 4.1.2.e: Use drawings, words, and symbols to explain the meaning of addition and subtraction of fractions with like denominators.

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

MA 4.1.2.f: Add and subtract fractions and mixed numbers with like denominators.

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

MA 4.1.2.g: Multiply a fraction by a whole number.

Critter Count (Modeling Multiplication)

MA 4.2: Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 4.2.1: Students will demonstrate, represent, and show relationships with expressions and equations.

MA 4.2.1.b: Generate and analyze a number or shape pattern to follow a given rule, such as y = 3x + 5 is a rule to describe a relationship between two variables and can be used to find a second number when a first number is given.

Function Machines 1 (Functions and Tables)

MA 4.2.2: Students will apply the operational properties when evaluating expressions and solving equations.

MA 4.2.2.a: Solve one- and two-step problems which use any or all of the four basic operations and include the use of a letter to represent the unknown quantity.

Cargo Captain (Multi-digit Subtraction)

MA 4.3: Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 4.3.1: Students will identify and describe geometric characteristics and create two- and three-dimensional shapes.

MA 4.3.1.c: Identify and draw points, lines, line segments, rays, angles, parallel lines, perpendicular lines, and intersecting lines, and recognize them in two-dimensional figures.

City Tour (Coordinates)
Classifying Quadrilaterals
Elevator Operator (Line Graphs)

MA 4.3.1.d: Classify two-dimensional shapes based on the presence or absence of parallel and perpendicular lines, or the presence or absence of specific angles.

Classifying Quadrilaterals

MA 4.3.1.e: Identify right triangles.

Classifying Quadrilaterals

MA 4.3.1.h: Recognize and draw lines of symmetry in two-dimensional shapes.

Quilting Bee (Symmetry)

MA 4.3.3: Students will perform and compare measurements and apply formulas.

MA 4.3.3.a: Apply perimeter and area formulas for rectangles.

Chocomatic (Multiplication, Arrays, and Area)

MA 4.3.3.c: Generate simple conversions from a larger unit to a smaller unit within the customary and metric systems of measurement.

Cannonball Clowns (Number Line Estimation)