#### M6.A: Numbers and Operations

M6.A.1: Demonstrate an understanding of numbers, ways of representing numbers, relationships among numbers, and number systems.

M6.A.1.1: Express numbers in equivalent forms.

M6.A.1.1.1: Represent common percents as fractions and/or decimals (e.g., 25% = ¼ =.25) - common percents are 1%, 10%, 25%, 50%, 75%, 100%.

M6.A.1.1.2: Convert between fractions and decimals and/or differentiate between a terminating decimal and a repeating decimal.

M6.A.1.2: Compare quantities and/or magnitudes of numbers.

M6.A.1.2.1: Compare and/or order whole numbers, mixed numbers, fractions and/or decimals (do not mix fractions and decimals - decimals through thousandths).

M6.A.1.3: Apply number theory concepts (i.e., factors, multiples).

M6.A.1.3.2: Find the Least Common Multiple (LCM) of two numbers (through 50) and/or use the LCM to find the common denominator of two fractions.

M6.A.1.3.3: Use divisibility rules for 2, 3, 5 and/or 10 to draw conclusions and/or solve problems.

M6.A.1.4: Use or develop models to represent percents.

M6.A.1.4.1: Model percents (through 100%) using drawings, graphs and/or sets (e.g., circle graph, base ten blocks, etc)

M6.A.2: Understand the meanings of operations, use operations and understand how they relate to each other.

M6.A.2.1: Select and/or use operations to simplify or solve problems.

M6.A.2.1.1: Complete equations by using the following properties: associative, commutative, distributive and identity.

M6.A.3: Compute accurately and fluently and make reasonable estimates.

M6.A.3.2: Solve problems with and without the use of a calculator.

M6.A.3.2.1: Solve problems involving operations (+, -, x, ÷) with whole numbers, decimals (through thousandths) and fractions (avoid complicated LCDs) - straight computation or word problems.

#### M6.B: Measurement

M6.B.1: Demonstrate an understanding of measurable attributes of objects and figures, and the units, systems and processes of measurement.

M6.B.1.1: Compare and/or determine elapsed time.

M6.B.1.1.1: Determine and/or compare elapsed time to the minute (time may cross AM to PM or more than one day).

M6.B.2: Apply appropriate techniques, tools and formulas to determine measurements.

M6.B.2.2: Solve problems involving length, perimeter, area and/or volume of geometric figures.

M6.B.2.2.1: Find the perimeter of any polygon (may include regular polygons where only the measure of one side is given - same units throughout).

#### M6.C: Geometry

M6.C.1: Analyze characteristics and properties of two- and three- dimensional geometric shapes and demonstrate understanding of geometric relationships.

M6.C.1.1: Define and/or use basic properties of triangles, quadrilaterals, pentagons, hexagons, heptagons, octagons, nonagons, decagons and circles.

M6.C.1.1.1: Identify, classify and/or compare polygons (up to ten sides.)

M6.C.1.1.2: Identify and/or describe properties of all types of triangles (scalene, equilateral, isosceles, right, acute, obtuse).

M6.C.1.1.3: Identify and/or determine the measure of the diameter and/or radius of a circle (when one or the other is given).

M6.C.1.2: Represent and/or use concepts and relationships of lines and line segments.

M6.C.1.2.2: Identify, draw and/or label points, planes, lines, line segments, rays, angles and vertices.

M6.C.3: Locate points or describe relationships using the coordinate plane.

M6.C.3.1: Identify, plot or match points given an ordered pair.

M6.C.3.1.1: Plot, locate or identify points in Quadrant I and/or on the x and y axes with intervals of 1, 2, 5 or 10 units - up to a 200 by 200 grid. Points may be in-between lines.

#### M6.D: Algebraic Concepts

M6.D.2: Represent and/or analyze mathematical situations and structures using algebraic symbols, words, tables, and graphs.

M6.D.2.1: Select and/or use appropriate strategies to solve number sentences.

M6.D.2.1.1: Identify the inverse operation needed to solve a one-step equation.

M6.D.2.2: Create and/or interpret expressions or equations that model problem situations.

M6.D.2.2.1: Match an equation or expression involving one variable, to a verbal math situation (one operation only).

#### M6.E: Data Analysis and Probability

M6.E.1: Formulate questions that can be addressed with data and/or collect, organize, display, and analyze data.

M6.E.1.1: Interpret data shown in frequency tables, histograms, circle, bar or double bar graphs, line or double line graphs or line plots.

M6.E.1.1.1: Analyze data and/or answer questions pertaining to data represented in frequency tables, circle graphs, double bar graphs, double line graphs or line plots (for circle graphs, no computation with percents).

M6.E.1.1.2: Choose the appropriate representation for a specific set of data (choices should be the same type of graph).

M6.E.1.1.3: Display data in frequency tables, circle graphs, double-bar graphs, double line graphs or line plots using a title, appropriate scale, labels and a key when needed. Circle graphs for open-ended items must show a center point and tic marks.

M6.E.2: Select and use appropriate statistical methods to analyze data.

M6.E.2.1: Describe data sets using mean, median, mode and/or range.

M6.E.2.1.1: Determine/calculate the mean, median, mode and/or range of displayed data (data can be displayed in a table or line plot - use whole numbers only up to 2 digits).

M6.E.3: Understand and apply basic concepts of probability.

M6.E.3.1: Determine all possible combinations, outcomes and/or calculate the probability of a simple event.

M6.E.3.1.2: Determine/show all possible combinations involving no more than 20 total arrangements (e.g., tree diagram, table, grid).

Correlation last revised: 5/23/2018

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