MA 6.1: Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA.6.1.1: Students will demonstrate, represent, and show relationships among fractions, decimals, percents, and integers within the base-ten number system.

MA 6.1.1.a: Determine common factors and common multiples using prime factorization of numbers with and without exponents.

Factor Trees (Factoring Numbers)
Finding Factors with Area Models

MA 6.1.1.c: Compare and order rational numbers both on the number line and not on the number line.

Comparing and Ordering Decimals
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

MA 6.1.1.d: Convert among fractions, decimals, and percents using multiple representations.

Modeling Decimals (Area and Grid Models)
Percents, Fractions, and Decimals

MA 6.1.1.e: Determine ratios from drawings, words, and manipulatives.

Beam to Moon (Ratios and Proportions)
Part-to-part and Part-to-whole Ratios
Proportions and Common Multipliers

MA 6.1.1.f: Explain and determine unit rates.

Household Energy Usage
Road Trip (Problem Solving)

MA 6.1.1.g: Model integers using drawings, words, manipulatives, number lines, and symbols.

Adding and Subtracting Integers
Integers, Opposites, and Absolute Values

MA 6.1.1.h: Compare and order integers and absolute value both on the number line and not on the number line.

Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

MA 6.1.1.i: Determine absolute value of rational numbers.

Absolute Value Equations and Inequalities
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

MA 6.1.2: Students will compute with fractions and decimals accurately.

MA 6.1.2.a: Multiply and divide non-negative fractions and mixed numbers.

Dividing Fractions
Dividing Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers

MA 6.1.2.b: Evaluate expressions with positive exponents.

Order of Operations

MA 6.1.2.d: Add, subtract, multiply, and divide decimals using the standard algorithms.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Multiplying with Decimals
Square Roots
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals

MA 6.1.2.e: Estimate and check reasonableness of answers using appropriate strategies and tools.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Dividing Fractions
Dividing Mixed Numbers
Estimating Sums and Differences
Improper Fractions and Mixed Numbers
Multiplying Decimals (Area Model)
Multiplying Mixed Numbers
Multiplying with Decimals
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals

MA 6.2: Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 6.2.1: Students will demonstrate, represent, and show relationships with expressions, equations, and inequalities.

MA 6.2.1.a: Create algebraic expressions (e.g., one operation, one variable as well as multiple operations, one variable) from word phrases.

Improper Fractions and Mixed Numbers
Multiplying with Decimals
Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

MA 6.2.1.b: Recognize and generate equivalent algebraic expressions involving distributive property and combining like terms.

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Modeling the Factorization of x²+bx+c
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

MA 6.2.2: Students will apply the operational properties when evaluating expressions and solving expressions, equations, and inequalities.

MA 6.2.2.a: Simplify expressions using the distributive property and combining like terms.

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Operations with Radical Expressions
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

MA 6.2.2.c: Evaluate numerical expressions, including absolute value and exponents, with respect to order of operations.

Order of Operations

MA 6.2.2.e: Solve one-step equations with non-negative rational numbers using addition, subtraction, multiplication and division.

Solving Algebraic Equations II

MA 6.2.2.f: Use equivalent ratios relating quantities with whole numbers to create a table. Find missing values in the table.

Geometric Sequences

MA 6.2.2.g: Represent inequalities on a number line (e.g., graph x > 3).

Absolute Value Equations and Inequalities
Comparing and Ordering Decimals
Compound Inequalities
Rational Numbers, Opposites, and Absolute Values
Solving Linear Inequalities in One Variable

MA 6.2.3: Students will solve real-world problems involving ratios, unit rates, and percents.

MA 6.2.3.a: Write equations (e.g., one operation, one variable) to represent real-world problems involving non-negative rational numbers.

Linear Inequalities in Two Variables
Solving Equations on the Number Line

MA 6.2.3.b: Solve real-world problems involving non-negative rational numbers.

Estimating Population Size
Modeling Decimals (Area and Grid Models)

MA 6.2.3.c: Solve real-world problems involving percents of numbers.

Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Polling: Neighborhood
Real-Time Histogram

MA 6.2.3.d: Solve real-world problems using ratios and unit rates.

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Household Energy Usage
Part-to-part and Part-to-whole Ratios
Proportions and Common Multipliers
Road Trip (Problem Solving)

MA 6.3: Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 6.3.1: Students will identify and describe geometric characteristics and create two- and three-dimensional shapes.

MA 6.3.1.a: Identify and create nets to represent two-dimensional drawings of prisms, pyramids, cylinders, and cones.

Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

MA 6.3.2: Students will determine location, orientation, and relationships on the coordinate plane.

MA 6.3.2.a: Identify the ordered pair of a given point in the 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
Slope

MA 6.3.2.b: Plot the location of an ordered pair in the coordinate plane.

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
Slope

MA 6.3.2.c: Identify the quadrant of a given point in the coordinate plane.

City Tour (Coordinates)
Function Machines 2 (Functions, Tables, and Graphs)
Points in the Coordinate Plane
Slope

MA 6.3.2.d: Draw polygons in the coordinate plane given coordinates for the vertices.

Points in the Coordinate Plane

MA 6.3.3: Students will perform and compare measurements and apply formulas.

MA 6.3.3.a: Determine the area of quadrilaterals, including parallelograms, trapezoids, and triangles by composition and decomposition of polygons as well as application of formulas.

Area of Parallelograms
Area of Triangles
Perimeter and Area of Rectangles

MA 6.3.3.b: Determine the surface area of rectangular prisms and triangular prisms using nets.

Surface and Lateral Areas of Prisms and Cylinders

MA 6.3.3.c: Apply volume formulas for rectangular prisms.

Balancing Blocks (Volume)
Prisms and Cylinders

MA 6.4: Students will communicate data analysis/probability concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 6.4.1: Students will create displays that represent data.

MA 6.4.1.a: Represent data using line plots, dot plots, box plots, and histograms.

Box-and-Whisker Plots
Histograms
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

MA 6.4.2: Students will analyze data to address the situation.

MA 6.4.2.a: Solve problems using information presented in line plots, dot plots, box plots, and histograms.

Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram

MA 6.4.2.b: Compare and interpret data sets based upon their graphical representations (e.g., center, spread, and shape).

Box-and-Whisker Plots
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

MA 6.4.2.c: Find and interpret the mean, median, mode, and range for a set of data.

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Sight vs. Sound Reactions
Stem-and-Leaf Plots

MA 6.4.2.d: Compare the mean, median, mode, and range from two sets of data.

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)