Standards and Objectives

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.

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.

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.

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.

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).

Correlation last revised: 12/4/2008

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.