#### M7.A: Numbers and Operations

M7.A.1: Demonstrate an understanding of numbers, ways of representing numbers, relationships among numbers and number systems.

M7.A.1.1: Express numbers in equivalent forms.

M7.A.1.1.1: Convert between fractions, decimals and/or percents (e.g., 20% = 0.2 = 1/5) (terminating decimals only).

M7.A.1.2: Compare quantities and/or magnitudes of numbers.

M7.A.1.2.1: Compare and/or order integers, mixed numbers, fractions and decimals (fractions and decimals may be mixed - no more than 5 numbers in a set to be ordered).

M7.A.1.2.2: Locate/identify decimals, fractions, mixed numbers and/or integers on a number line (a mix of these number forms may be on the same number line).

M7.A.2: Understand the meanings of operations, use operations and understand how they relate to each other.

M7.A.2.1: Complete calculations by applying the order of operations.

M7.A.2.1.1: Use the order of operations to simplify numerical expressions (may use parentheses, brackets, +, -, x, ÷, squares up to 10² and cubes up to 4³; whole numbers only).

M7.A.2.2: Solve problems using ratios, proportions, percents and/or rates.

M7.A.2.2.3: Use proportions to determine if two quantities are equivalent (e.g., similar figures, prices of different sized items, etc).

M7.A.2.2.4: Calculate and/or apply unit rates or unit prices (terminating decimals through the hundredth place only).

M7.A.2.2.5: Select and/or use ratios or proportions to solve problems.

M7.A.3: Compute accurately and fluently and make reasonable estimates.

M7.A.3.1: Apply estimation strategies to a variety of problems.

M7.A.3.1.1: Estimate answers to problems involving whole numbers, decimals, fractions or mixed numbers.

M7.A.3.2: Compute accurately with and without use of a calculator.

M7.A.3.2.1: Solve problems involving operations (+, -, x, ÷) of whole numbers, decimals, fractions, or mixed numbers (straight computation or word problems)

M7.A.3.2.2: Solve problems involving addition and subtraction of integers.

#### M7.B: Measurement

M7.B.1: Demonstrate an understanding of measurable attributes of objects and figures, and the units, systems and processes of measurement.

M7.B.1.1: Add, subtract, or convert measurements.

M7.B.1.1.1: Add, subtract, or convert measurements, using only the units below, with and without regrouping (e.g., 4ft - 2ft 5in = 1ft 7in). Answer should be converted to the largest whole unit (e.g., 37oz = 2 Lb 5oz or 39 in = 1 yd 3 in. Conversion chart provided on the reference sheet.

M7.B.1.1.1.a: in, ft, yd

M7.B.1.1.1.b: fl oz, cup, pint, quart, gallon

M7.B.1.1.1.c: oz, Lb

M7.B.1.1.1.d: sec, min, hours, days

M7.B.1.1.1.e: metric units including milli, centi and kilo (m, g or L)

M7.B.2: Apply appropriate techniques, tools and formulas to determine measurements.

M7.B.2.1: Develop, use and/or describe strategies to find the measure of length, perimeter, circumference, area or volume.

M7.B.2.1.1: Develop and/or use strategies to find the perimeter and/or area of compound figures (compound figures should only include quadrilaterals and triangles). Area formulas provided on the reference sheet.

M7.B.2.1.2: Find the circumference and/or area of circles (formulas provided on the reference sheet).

M7.B.2.1.3: Find the area of triangles and/or all types of parallelograms (formulas provided on the reference sheet).

M7.B.2.2: Construct, interpret and/or use scale drawings to solve real-world problems.

M7.B.2.2.1: Interpret and/or apply scales shown on maps, blueprints, models, etc.

M7.B.2.2.2: Determine and/or apply an appropriate scale for reduction or enlargement.

#### M7.C: Geometry

M7.C.1: Analyze characteristics and properties of two- and three- dimensional geometric shapes and demonstrate understanding of geometric relationships.

M7.C.1.1: Define and/or apply basic properties of two- and three-dimensional geometric shapes.

M7.C.1.1.1: Identify, describe and/or define diameter, radius, chord and/or circumference in circles.

M7.C.1.2: Identify congruence and/or similarity in polygons.

M7.C.1.2.1: Identify and/or use polygons that are similar and/or congruent, given either measurements or tic and angle marks.

M7.C.1.2.2: Identify corresponding sides and/or angles of congruent or similar polygons.

M7.C.3: Locate points or describe relationships using the coordinate plane.

M7.C.3.1: Locate, plot and/or describe points on a coordinate plane.

M7.C.3.1.1: Plot and/or identify ordered pairs on a coordinate plane (all four quadrants).

M7.C.3.1.2: Identify Quadrants I, II, III, IV, the x- & y-axes and the origin on a coordinate plane.

#### M7.D: Algebraic Concepts

M7.D.2: Represent and/or analyze mathematical situations using numbers, symbols, words, tables and/or graphs.

M7.D.2.1: Select and/or use appropriate strategies to solve or represent equations or expressions.

M7.D.2.1.2: Use substitution of one and/or two variables to simplify expressions (whole numbers only - use order of operations).

M7.D.2.2: Create and/or interpret expressions, equations or inequalities that model problem situations.

M7.D.2.2.1: Identify expressions, equations or inequalities that model mathematical situations (using whole numbers or decimals, no more than two operations and one variable).

M7.D.3: Analyze change in various contexts.

M7.D.3.1: Describe the relationship between two variables (e.g., time, temperature).

M7.D.3.1.1: Solve problems involving a constant rate of change (e.g., word problems, graphs or data tables).

M7.D.3.1.2: Describe and/or use the relationship of data displayed on a rate of change graph (e.g., how does the x-axis data relate to the y-axis data).

#### M7.E: Data Analysis and Probability

M7.E.1: Formulate or answer questions that can be addressed with data and/or organize, display, interpret or analyze data.

M7.E.1.1: Interpret data shown in complex data displays.

M7.E.1.1.1: Analyze data and/or answer questions pertaining to data represented in histograms, double bar graphs, multiple line graphs or stem-and-leaf plots.

M7.E.2: Select and/or use appropriate statistical methods to analyze data.

M7.E.2.1: Describe, compare and/or contrast data using measures of mean, median, mode or range.

M7.E.2.1.1: Identify/calculate the mean (average), median, mode or range of a set of data.

M7.E.2.1.2: Decide/choose which measure of central tendency (mean, median, mode or range) would be most appropriate for a given situation.

M7.E.4: Develop and/or evaluate inferences and predictions or draw conclusions based on data or data displays.

M7.E.4.1: Draw conclusions and/or make predictions based on data displays.

M7.E.4.1.1: Formulate predictions and/or draw conclusions based on data displays (bar graphs, circle graphs or line graphs) or probability.

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.