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).

 Percents, Fractions, and Decimals

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).

 Adding Fractions (Fraction Tiles)
 Comparing and Ordering Decimals
 Fraction Garden (Comparing Fractions)
 Rational Numbers, Opposites, and Absolute Values
 Toy Factory (Set Models of Fractions)

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).

 Adding and Subtracting Integers
 Adding on the Number Line
 Comparing and Ordering Decimals
 Fraction Garden (Comparing Fractions)
 Fractions Greater than One (Fraction Tiles)
 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values

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).

 Order of Operations

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).

 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals

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

 Household Energy Usage

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

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Estimating Population Size
 Geometric Probability
 Part-to-part and Part-to-whole Ratios
 Proportions and Common Multipliers
 Road Trip (Problem Solving)

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.

 Estimating Sums and Differences
 Improper Fractions and Mixed Numbers
 Multiplying with Decimals
 Proportions and Common Multipliers
 Sums and Differences with Decimals

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)

 Adding Fractions (Fraction Tiles)
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

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

 Adding on the Number Line
 Addition of Polynomials

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

 Unit Conversions

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

 Unit Conversions

M7.B.1.1.1.c: oz, Lb

 Unit Conversions

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

 Unit Conversions

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

 Unit Conversions

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.

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

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

 Circumference and Area of Circles

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

 Area of Parallelograms
 Area of Triangles
 Perimeter and Area of Rectangles

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.

 Points in the Coordinate Plane

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

 Dilations

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.

 Chords and Arcs
 Circumference and Area of 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.

 Constructing Congruent Segments and Angles
 Similar Figures
 Similarity in Right Triangles

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

 Similar Figures

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).

 City Tour (Coordinates)
 Linear Functions
 Points in the Coordinate Plane
 Points, Lines, and Equations
 Slope

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

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

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).

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II

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).

 Solving Equations on the Number Line

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).

 Compound Interest
 Dilations
 Direct and Inverse Variation
 Function Machines 1 (Functions and Tables)
 Points, Lines, and Equations

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).

 Cat and Mouse (Modeling with Linear Systems)

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.

 Elevator Operator (Line Graphs)
 Graphing Skills
 Histograms
 Polling: City
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram
 Sight vs. Sound Reactions
 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.

 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

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.

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots

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.

 Graphing Skills
 Probability Simulations
 Reaction Time 1 (Graphs and Statistics)
 Theoretical and Experimental Probability

Correlation last revised: 1/20/2017

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