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Middle Grades Mathematics
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GRADE |
Six |
Seven |
EIGHT |
- Drawing Conclusions from Data
- Organizing and Displaying Data, Reading Graphs Critically, Displaying Frequency, Analyzing Measures of Data, Scatter Plots, Stem-and-Leaf Plots, Box-and-Whisker Plots, Choosing an Appropriate Graph
- Patterns In Geometry
- Angles of Circles, Measuring the Circumference of a Circle, Congruent Triangles, Quadrilaterals and Triangles, Angles of Polygons, Math and Art: Polygons and Tessellations, Constructing Perpendicular Lines, Parallel Lines, Square Roots, The Pythagorean Theorem
- Integers and Variable Expressions
- Graphing Integers on the Number Line, Writing Variable Expressions, Adding Integers, Subtracting Integers, Multiplying and Dividing Integers, Properties of Addition and Multiplication (Associative, Commutative, Distributive, and Identity); Exponents and Multiplication, Evaluating Variable Expressions
- Algebraic Equations and Inequalities
- Simplifying Variable Expressions, Addition and Subtraction Equations, Multiplication and Division Equations, Solving Two-Step Equations, Simplifying and Solving Equations, Formulas, Inequalities, Solving One-Step and Two-Step Inequalities
- Graphing in the Coordinate Plane
- Graphing Points In All Four Quadrants, Equations In Two Variables, The Graph of y=mx + b, Understanding Slope, Using Slope and Intercepts, Systems of Linear Equations, Translations, Reflections and Symmetry, Exploring Rotations
- Functions
- Sequences, Function Rules, Function Graphs, Interpreting Graphs, Quadratic Functions, Families of Graphs, Direct and Inverse Variation
- Rational Numbers
- Prime Factorization, Rational Numbers, Fractions and Decimals, Comparing Rational Numbers, Addition and Subtraction (of Rational Numbers), Multiplication and Division (of Rational Numbers), Rational Numbers with Exponents, Scientific Notation, Rational Number Equations, Irrational Numbers
- Applications of Proportions
- Ratios and Rates, Dimensional Analysis, Solving Proportions, Similar Figures, Indirect Measurement, The Tangent Ratio, The Sine and Cosine Ratios, Exploring Self-Similarity and Fractals
- Probability
- Counting and Displaying Outcomes, Permutations, Combinations, Probability and Odds, Independent and Dependent Events, Pascal's Triangle, Fair Games and Random Digits
- Applications of Percent
- Fractions, Decimals, and Percents; Estimating with Percents, Percents and Proportions, Percents and Equations, Constructing Circle Graphs, Percent of Change, Markup and Discount, Simple and Compound Interest
- Geometry and Measurement
- Three Dimensional Figures, Composite Figures, Surface Area of Prisms, Surface Area of Cylinders, Volume of Cylinders, Volume of Cones and Pyramids