MA.6.1: Students will: demonstrate understanding of numbers, ways of representing numbers, and relationships among numbers and number systems; demonstrate meanings of operations and how they relate to one another; and compute fluently and make reasonable estimates through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.

MA.6.1.2: identify prime and composite numbers up to 100.

Finding Factors with Area Models

MA.6.1.3: use prime factorization to determine the greatest common factor and least common multiple.

Finding Factors with Area Models

MA.6.1.4: identify and represent integers on a number line.

Comparing and Ordering Integers
Real Number Line - Activity A

MA.6.1.6: solve problems in context involving addition, subtraction, multiplication, and division of whole numbers, fractions, mixed numbers and decimals.

Adding Real Numbers
Adding and Subtracting Integers
Dividing Fractions
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Order of Operations
Sums and Differences with Decimals

MA.6.1.8: convert between fractions, mixed numbers, decimals and percents.

Percents, Fractions and Decimals

MA.6.1.9: find the percent of a number.

Percent of Change
Percents and Proportions
Polling: Neighborhood

MA.6.2: Students will: demonstrate understanding of patterns, relations, and functions; represent and analyze mathematical situations and structures using algebraic symbols; use mathematical models to represent and understand quantitative relationships; and analyze change in various contexts through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.

MA.6.2.1: simplify numerical expressions using order of operations.

Order of Operations

MA.6.2.2: identify missing elements in arithmetic and geometric patterns.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences

MA.6.2.3: explore a variety of patterns, including perfect squares, square roots and exponents.

Square Roots

MA.6.2.4: use input/output models and spreadsheets to evaluate functions.

Introduction to Functions
Using Tables, Rules and Graphs

MA.6.2.5: solve a proportion using cross multiplication.

Estimating Population Size
Polling: Neighborhood

MA.6.2.7: model addition, subtraction, multiplication and division of integers.

Adding Real Numbers
Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
Order of Operations

MA.6.2.8: locate and plot points within the four quadrants.

Points in the Coordinate Plane - Activity A

MA.6.2.9: use variables to represent and solve real world problems appropriate for the 6th grade using multiple strategies.

Using Algebraic Equations

MA.6.3: will: analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships; specify locations and describe spatial relationships using coordinate geometry and other representational systems; apply transformations and use symmetry to analyze mathematical situations; and solve problems using visualization, spatial reasoning, and geometric modeling through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.

MA.6.3.1: classify lines as parallel, intersecting, perpendicular or skew.

Construct Parallel and Perpendicular Lines
Investigating Parallel Lines and Planes

MA.6.3.2: determine the sum of measures of angles in polygons.

Polygon Angle Sum - Activity A
Triangle Angle Sum - Activity A

MA.6.3.3: bisect a line segment using a compass and straightedge.

Constructing Congruent Segments and Angles

MA.6.3.5: identify line symmetry and rotational symmetry in plane figures.

Holiday Snowflake Designer

MA.6.3.6: define and sketch similar and congruent plane geometric figures.

Constructing Congruent Segments and Angles

MA.6.4: Students will: demonstrate understanding of measurable attributes of objects and the units, systems, and processes of measurement; and apply appropriate techniques, tools and formulas to determine measurements through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.

MA.6.4.2: apply formulas to determine perimeter, circumference and/or area of plane figures including compound figures.

Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area

MA.6.4.4: investigate and model volume and surface area.

Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

MA.6.4.5: select appropriate units and determine length, weight/mass and capacity/volume using metric and customary systems.

Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A

MA.6.5: Students will: formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them; select and use appropriate statistical methods to analyze data; develop and evaluate inferences and predictions that are based on models; and apply and demonstrate an understanding of basic concepts of probability through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics.

MA.6.5.1: collect, organize, display, and read data using appropriate graphs and tables.

Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Scatter Plots - Activity A
Stem-and-Leaf Plots

MA.6.5.2: interpret data using mean, median, mode, and range.

Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode

MA.6.5.3: determine the probability of a given event and express that probability as a ratio, decimal or percent.

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

MA.6.5.4: determine combinations, permutations and probability using sample spaces (by listing and tree diagrams).

Permutations and Combinations