MA 5.1: Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 5.1.1: Students will represent and show relationships among positive rational numbers.

MA 5.1.1.a: Demonstrate multiple equivalent representations for whole numbers and decimals through the thousandths place (e.g., 3.125 is 3 +.1 +.02 +.005)

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

MA 5.1.1.b: Compare and order whole numbers, fractions, and decimals through the thousandths place

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Comparing and Ordering Decimals
Equivalent Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Toy Factory (Set Models of Fractions)
Treasure Hunter (Decimals on the Number Line)

MA 5.1.1.c: Identify and name fractions in their simplest form and find common denominators for fractions

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Modeling Fractions (Area Models)

MA 5.1.1.d: Recognize and generate equivalent forms of commonly used fractions, decimals, and percents (e.g., one third, one fourth, one half, two thirds, three fourths)

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

MA 5.1.1.e: Classify a number as prime or composite

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

MA 5.1.1.f: Identify factors and multiples of any whole number

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

MA 5.1.1.g: Round whole numbers and decimals to any given place

Rounding Whole Numbers (Number Line)

MA 5.1.2: Students will demonstrate the meaning of arithmetic operations with whole numbers.

MA 5.1.2.b: Use words and symbols to explain the meaning of the commutative and associative properties of addition and multiplication

Chocomatic (Multiplication, Arrays, and Area)

MA 5.1.2.c: Use words and symbols to explain the distributive property of multiplication over addition (e.g., 5 (y + 2) = 5y + 5 x 2)

Chocomatic (Multiplication, Arrays, and Area)

MA 5.1.3: Students will compute fluently and accurately using appropriate strategies and tools.

MA 5.1.3.a: Add and subtract positive rational numbers (e.g., proper and improper fractions, mixed numbers, fractions with common and uncommon denominators, decimals through the thousandths place)

Fractions Greater than One (Fraction Tiles)

MA 5.1.3.c: Multiply decimals

Multiplying Decimals (Area Model)

MA 5.2: Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 5.2.2: Students will identify locations using coordinate geometry.

MA 5.2.2.a: Plot the location of an ordered pair in the first quadrant

City Tour (Coordinates)
Points in the Coordinate Plane
Points, Lines, and Equations

MA 5.2.3: Students will identify and use simple transformations.

MA 5.2.3.a: Perform one-step transformations on two dimensional shapes (e.g., translation, rotation, reflection, of 90, 180, and 270)

Rock Art (Transformations)

MA 5.2.5: Students will apply appropriate procedures, tools, and formulas to determine measurements using customary and metric units.

MA 5.2.5.c: Estimate and measure length with customary units to the nearest ¼ inch

Cannonball Clowns (Number Line Estimation)

MA 5.2.5.d: Measure capacity/volume with customary units

Cannonball Clowns (Number Line Estimation)

MA 5.2.5.f: Determine the area of rectangles and squares

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

MA 5.3: Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 5.3.1: Students will represent, analyze, and generalize relationships.

MA 5.3.1.a: Describe, extend, apply rules, and make generalizations about numeric, and geometric patterns

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

MA 5.3.1.b: Create and analyze numeric patterns using words, tables, and graphs

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

MA 5.3.2: Students will create, use, and compare models representing mathematical situations.

MA 5.3.2.b: Represent a variety of quantitative relationships using tables and graphs

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Graphing Skills
Points, Lines, and Equations

MA 5.3.2.c: Compare different models to represent mathematical situations

Fraction, Decimal, Percent (Area and Grid Models)

MA 5.3.3: Students will apply properties of simple positive rational numbers to solve one-step equations.

MA 5.3.3.c: Evaluate numerical expressions by using parentheses with respect to order of operations (e.g., 6 + (3 * 5))

Order of Operations

MA 5.3.3.d: Evaluate simple algebraic expressions involving addition and subtraction

Order of Operations

MA 5.4: Students will communicate data analysis/probability concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 5.4.1: Students will organize, display, compare, and interpret data.

MA 5.4.1.a: Represent data using line graphs

Reaction Time 2 (Graphs and Statistics)

MA 5.4.1.b: Represent the same set of data in different formats (e.g., table, pictographs, bar graphs, line graphs)

Forest Ecosystem
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

MA 5.4.1.d: Find the mean, median, mode, and range for a set of whole numbers

Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

MA 5.4.1.e: Generate questions and answers from data sets and their graphical representations

Graphing Skills
Reaction Time 2 (Graphs and Statistics)

MA 5.4.3: Students will determine theoretical probabilities.

MA 5.4.3.c: Explain that the likelihood of an event that can be represented by a number from 0 (impossible) to 1 (certain)

Spin the Big Wheel! (Probability)