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## MN.7.1.Number & Operation

Number & Operation
7.1.1. Read, write, represent and compare positive and negative rational numbers, expressed as integers, fractions and decimals.
7.1.1.1. Know that every rational number can be written as the ratio of two integers or as a terminating or repeating decimal. Recognize that pi is not rational, but that it can be approximated by rational numbers such as 22/7 and 3.14.
Flip Charts Dot to Dot
Flip Charts Finding Volume
Flip Charts Perimeter & Area
Flip Charts Shape Up
Flip Charts The Real Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Circumference of Circles
Quiz, Flash Cards, Worksheet, Game & Study Guide Diameter of Circle
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

7.1.1.3. Locate positive and negative rational numbers on a number line, understand the concept of opposites, and plot pairs of positive and negative rational numbers on a coordinate grid.
Flip Charts Shape Up
Flip Charts Slope
Flip Charts The Real Numbers
Vocabulary Terms Plotting Points
Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Coordinate Polygons
Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates
Quiz, Flash Cards, Worksheet, Game & Study Guide Plotting Points
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

7.1.1.4. Compare positive and negative rational numbers expressed in various forms using the symbols <, >, =, less than or equal to, greater than or equal to
Vocabulary Terms Ordering Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions

7.1.1.5. Recognize and generate equivalent representations of positive and negative rational numbers, including equivalent fractions.
Flip Charts Applying Percents
Flip Charts Box It Up
Flip Charts Triangle Tricks
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiple Representation of Rational Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage
Quiz, Flash Cards, Worksheet, Game & Study Guide Proportions/Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Simplify Fractions

7.1.2. Calculate with positive and negative rational numbers, and rational numbers with whole number exponents, to solve real-world and mathematical problems.
7.1.2.1. Add, subtract, multiply and divide positive and negative rational numbers that are integers, fractions and terminating decimals; use efficient and generalizable procedures, including standard algorithms; raise positive rational numbers to whole-number exponents.
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Evaluate Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Repeated Multiplication to Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents to Repeated Multiplication

7.1.2.4. Solve problems in various contexts involving calculations with positive and negative rational numbers and positive integer exponents, including computing simple and compound interest.
Flip Charts Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas
Quiz, Flash Cards, Worksheet, Game & Study Guide Percent, Rate, Base

7.1.2.5. Use proportional reasoning to solve problems involving ratios in various contexts.
Flip Charts Applying Percents
Flip Charts Box It Up
Flip Charts The Real Numbers
Flip Charts Triangle Tricks
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Proportions/Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Proportions

7.1.2.6. Demonstrate an understanding of the relationship between the absolute value of a rational number and distance on a number line. Use the symbol for absolute value.

7.2.1. Understand the concept of proportionality in real-world and mathematical situations, and distinguish between proportional and other relationships.
7.2.1.1. Understand that a relationship between two variables, x and y, is proportional if it can be expressed in the form y/x = k or y = kx. Distinguish proportional relationships from other relationships, including inversely proportional relationships (xy = k or y = k/x).
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

7.2.1.2. Understand that the graph of a proportional relationship is a line through the origin whose slope is the unit rate (constant of proportionality). Know how to use graphing technology to examine what happens to a line when the unit rate is changed.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

## MN.7.2.Algebra

Algebra
7.2.1 Recognize Proportional relationships in real-world and mathematical situations; represent these and other relationships with tables, verbal descriptions, symbols and graphs; solve problems involving proportional relationships and explain results in the original context.
7.2.2.1. Represent proportional relationships with tables, verbal descriptions, symbols, equations and graphs; translate from one representation to another. Determine the unit rate (constant of proportionality or slope) given any of these representations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

7.2.2.2. Solve multi-step problems involving proportional relationships in numerous contexts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Geometric Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

7.2.2.3. Use knowledge of proportions to assess the reasonableness of solutions.
Flip Charts Applying Percents
Flip Charts Box It Up
Flip Charts Triangle Tricks
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Proportions/Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Proportions

7.2.2.4. Represent real-world or mathematical situations using equations and inequalities involving variables and positive and negative rational numbers.
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

7.2.3. Apply understanding of order of operations and algebraic properties to generate equivalent numerical and algebraic expressions containing positive and negative rational numbers and grouping symbols; evaluate such expressions.
7.2.3.1. Use properties of algebra to generate equivalent numerical and algebraic expressions containing rational numbers, grouping symbols and whole number exponents. Properties of algebra include associative, commutative and distributive laws.
Flip Charts The Real Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Distributive Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

7.2.3.2. Evaluate algebraic expressions containing rational numbers and whole number exponents at specified values of their variables.
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas
Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra

7.2.4. Represent real world And mathematical situations using equations with variables. Solve equations symbolically, using the properties of equality. Also solve equations graphically and numerically. Interpret solutions in the original context.
7.2.4.1. Represent relationships in various contexts with equations involving variables and positive and negative rational numbers. Use the properties of equality to solve for the value of a variable. Interpret the solution in the original context.
Flip Charts Solving Equations
Flip Charts Solving Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

7.2.4.2. Solve equations resulting from proportional relationships in various contexts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Geometric Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

## MN.7.3.Geometry & Measurement

Geometry & Measurement
7.3.1. Use reasoning with proportions and ratios to determine measurements, justify formulas and solve real world and mathematical problems involving circles and related geometric figures.
7.3.1.1. Demonstrate an understanding of the proportional relationship between the diameter and circumference of a circle and that the unit rate (constant of proportionality) is pi. Calculate the circumference and area of circles and sectors of circles to solve problems in various contexts.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Flip Charts Shape Up
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Circumference of Circles
Quiz, Flash Cards, Worksheet, Game & Study Guide Diameter of Circle
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

7.3.1.2. Calculate the volume and surface area of cylinders and justify the formulas used.
Flip Charts Finding Volume
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Volume

7.3.2. Analyze the effect of change of scale, translations and reflections on the attributes of two-dimensional figures.
7.3.2.2. Apply scale factors, length ratios and area ratios to determine side lengths and areas of similar geometric figures.
Quiz, Flash Cards, Worksheet, Game & Study Guide Geometric Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

7.3.2.3. Use proportions and ratios to solve problems involving scale drawings and conversions of measurement units.
Quiz, Flash Cards, Worksheet, Game & Study Guide Geometric Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

## MN.7.4.Data Analysis & Probability

Data Analysis & Probability
7.4.1. Use mean, median and range to draw conclusions about data and make predictions.
7.4.1.1. Design simple experiments and collect data. Determine mean, median and range for quantitative data and from data represented in a display. Use these quantities to draw conclusions about the data, compare different data sets, and make predictions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Organizing Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

7.4.2. Display and interpret data in a variety of ways, including circle graphs and histograms.
7.4.2.1. Use reasoning with proportions to display and interpret data in circle graphs (pie charts) and histograms. Choose the appropriate data display and know how to create the display using a spreadsheet or other graphing technology.
Vocabulary Terms Graphs
Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Closed Figure Relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

7.4.3. Calculate probabilities and reason about probabilities using proportions to solve real-world and mathematical problems.
7.4.3.2. Calculate probability as a fraction of sample space or as a fraction of area. Express probabilities as percents, decimals and fractions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

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