## Middle School Math

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# Middle School Grade Level Math

Structure and Method- Students are able to learn Mathematics through daily presentations, modeling, interactive learning, oral exercises, differentiated instruction, visual and tactile activities, multi-media and technology resources.

##### Grade Level 6—Houghton Mifflin Harcourt

Students draw from their knowledge of whole-number multiplication and division as they begin their study of ratios and rates. Students cover the following topics:

Whole Numbers and Decimals; Fractions; Rational Numbers; Ratios and Rates; Percents; Units of Measure; Algebra: Expressions; Algebra: Equations and Inequalities; Algebra: Relationships Between Variables; Area; Surface Area and Volume; Data Displays and Measures of Center; Variability and Data Distributions

##### Grade Level 7—Houghton Mifflin Harcourt

Students extend their study of ratios and rates to develop an understanding of proportionality. The areas of emphasis are:

Adding and Subtracting Integers; Multiplying and Dividing Integers; Rational Numbers; Rates and Proportionality; Proportions and Percent; Expressions, Equations, and Inequalities; Modeling Geometric Figures; Circumference, Area, and Volume; Random Samples and Populations; Analyzing and Comparing Data; Experimental Probability; Theoretical Probability and Simulations

##### Grade Level 8—Houghton Mifflin Harcourt

This course prepares students for taking Algebra I. Areas of study include:

Real Numbers; Exponents and Scientific Notation; Proportional Relationships; Nonproportional Relationships; Writing Linear Equations; Functions; Solving Linear Equations; Solving Systems of Linear Equations; Transformations and Congruence; Transformations and Similarity; Angle Relationships in Parallel Lines and Triangles; The Pythagorean Theorem; Volume Students are able to learn Mathematics through daily presentations, modeling, interactive learning, independent and collaborative practice, formal and informal assessment, through different means of instructional resources to solidify student mastery of the concepts.

##### Advanced 6th Math- Prentice Hall

This course is designed to take the students on a two-year journey to have a firm grasp on the foundational concepts of Algebra and Geometry.

The areas of emphasis are: Operations with Decimals, Metric System, Operations with Integers, Order of Operations, Mean, Median, Mode, Range, Order of Operations, Factorization, Operations with Fractions, Improper Fractions, Operations with Mixed Number, Fraction with Decimals, Exponents, Greatest Common Factor, Less Common Denominator, One-Step and Two-Step Equations, One-Step and Two-Step Inequalities, Ratios, Rates, Proportion, Percentages, Percent of Change, Similar Figures, Map and Drawing Scales, Geometry, Area, Perimeter, Circumference and Area of a Circle, Square Roots, Irrational Numbers, Pythagorean Theorem, Coordinate Planes, Patterns and Graphs, Number Sequences, Simple and Compound Interest, Frequency Tables, Histograms, Line and Bar Graphs, Stem-and-Leaf- Plots, Coordinate Planes, Scatter Plots

##### Pre-Algebra (Advanced 7th Math)- Prentice Hall

This course is to prepare students to successfully complete the solid foundations of Algebra and have them look forward to beginning high school Algebra I in 8th grade.

The areas of emphasis are: Algebraic and Numerical Expressions, Integers, Absolute Value, Operations with Integers, Coordinate Planes, Properties of Numbers, Simplifying Expressions, One-Step and Two-Step Equations, One-Step and Two-Step Inequalities, Graphing Inequalities, Using Formulas, Comparing and Ordering Decimals, Operations with Decimals, Metric System, Factorization, Operations with Exponents, Simplifying Fractions, Scientific Notation, Customary Units of Measurement, Ratios, Rates, Proportions, Percentages, Percent of change, makeup and Discount, Simple and Compound Interest, Transforming Formulas, Relations and Functions, Slope and y-intercept, Direct Variation, Systems of Linear Equations, Graphing Linear Inequalities, Geometry, Area, Volume, Square Roots and Irrational Numbers, Pythagorean theorem, Mean, Median, Mode, Range, Frequency Tables, Histograms, Line Plots, Box-and-Whisker Plot, Stem-and-Leaf Plot, Scatter Plots

##### Algebra I (Advanced 8th Math) – Prentice Hall

This course prepares students for successful completion of high school Algebra I and to advance to high school Honors Algebra or Honors Geometry as freshmen.

The areas of emphasis are: Variable and Expressions, Properties of Basic Operations, Multi-Step Equations and Inequalities, Absolute Value Equations and Inequalities, Solving Formulas, Percentages, Ratios, Rates, Proportions, Graphing Equations and Inequalities, Compound Inequalities, Unions and Intersections of Sets, Linear/Nonlinear Functions Graphing, Sequences and Functions, Graphing Absolute Value Functions, Slope-Intercept Form, Point-Slope Form, Standard Form, Graphing Parallel and Perpendicular Line, Graphing Scatter Plots and Trend Lines, Graphing Systems of Equations and Inequalities, Exponents, Scientific Notation, Multiplying and Dividing Exponents, Exponential Functions, Exponential Growth and Decay, Adding and Subtracting Polynomials, Factoring , Multiplying Binomials, factoring x2 + bx + c, Factoring ax2 + bx + c, Multiplying and Factoring Special Cases, Factoring by Grouping, Quadratic Graphs and their Properties, Quadratic Function, Solving Quadratic Equations, Factoring to Solve Quadratic Equations, Completing the Square, Quadratic Formula and the Discriminant, The Pythagorean Theorem, Frequency Tables and Histogram, Box-and-Whisker Plots 