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 represent and show relationships among positive rational numbers and integers.

MA 6.1.1.b: Compare and order positive and negative integers

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

MA 6.1.1.c: Identify integers less than 0 on a number line

Adding and Subtracting Integers
Adding on the Number Line
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

MA 6.1.1.e: Identify the prime factorization of numbers (e.g., 12 = 2 x 2 x 3 or 2² x 3)

Factor Trees (Factoring Numbers)
Finding Factors with Area Models

MA 6.1.1.f: Classify numbers as natural, whole, or integer

Modeling Whole Numbers and Decimals (Base-10 Blocks)

MA 6.1.2: Students will demonstrate the meaning of arithmetic operations with positive fractions and decimals.

MA 6.1.2.a: Use drawings, words, and symbols to explain the meaning of addition and subtraction of fractions

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

MA 6.1.3: Students will compute fluently and accurately using appropriate strategies and tools.

MA 6.1.3.a: Multiply and divide positive rational numbers

Adding and Subtracting Integers
Dividing Fractions
Dividing Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals

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

MA 6.2.2: Students will label points using coordinate geometry.

MA 6.2.2.a: Identify the ordered pair of a plotted point in the coordinate plane

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations
Slope

MA 6.2.3: Students will use and describe results of transformations on geometric shapes.

MA 6.2.3.a: Perform and describe positions and orientation of shapes under single transformations (translation, rotation, reflection) not on a coordinate plane

Rock Art (Transformations)
Rotations, Reflections, and Translations

MA 6.2.4: Students will use visualization of geometric models to solve problems.

MA 6.2.4.a: Identify two-dimensional drawings of three-dimensional objects

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

MA 6.2.5: Students will apply appropriate procedures, tools, and formulas to determine measurements.

MA 6.2.5.c: Convert length, weight (mass), and liquid capacity from one unit to another within the same system

Unit Conversions

MA 6.2.5.d: Determine the perimeter of polygons

Fido's Flower Bed (Perimeter and Area)
Perimeter and Area of Rectangles

MA 6.2.5.e: Determine the area of parallelograms and triangles

Area of Parallelograms
Area of Triangles
Perimeter and Area of Rectangles

MA 6.2.5.f: Determine the volume of rectangular prisms

Balancing Blocks (Volume)
Prisms and Cylinders

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

MA 6.3.1: Students will represent, analyze, and use relationships to make generalizations.

MA 6.3.1.a: Describe and create simple algebraic expressions (e.g., one operation, one variable) from words and tables

Using Algebraic Equations
Using Algebraic Expressions

MA 6.3.3: Students will apply properties to solve equations.

MA 6.3.3.b: Evaluate numerical expressions containing multiple operations with respect to order of operations (e.g., 2 + 4 x 5)

Order of Operations

MA 6.3.3.c: Evaluate simple algebraic expressions involving multiplication and division

Order of Operations
Solving Algebraic Equations II

MA 6.3.3.d: Solve one-step equations involving positive rational numbers

Solving Algebraic Equations II
Solving Equations on the Number Line

MA 6.3.3.e: Identify and explain the properties of equality used in solving one-step equations (e.g., addition, subtraction, division)

Modeling One-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line

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 organize, display, compare, and interpret data.

MA 6.4.1.a: Represent data using stem and leaf plots, histograms, and frequency charts

Box-and-Whisker Plots
Graphing Skills
Histograms
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

MA 6.4.1.b: Compare and interpret data sets and their graphical representations

Box-and-Whisker Plots
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots

MA 6.4.1.c: Find 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 6.4.1.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)

MA 6.4.2: Students will construct predictions based on data.

MA 6.4.2.a: Make predictions based on data and create questions to further investigate the quality of the predictions

Polling: City

MA 6.4.3: Students will apply basic concepts of probability.

MA 6.4.3.a: Describe the theoretical probability of an event using a fraction, percentage, decimal, or ratio

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

MA 6.4.3.b: Compute theoretical probabilities for independent events

Independent and Dependent Events
Theoretical and Experimental Probability

MA 6.4.3.c: Find experimental probability for independent events

Independent and Dependent Events
Theoretical and Experimental Probability