**Eight Grade Common Core State**** ****Standards With Lessons, Worksheets and Instructional Videos **

**Number Theory**

**Factors**

**Divisibility rules**

**Prime or composite**

**Prime factorization**

**Greatest common factor**

**Least common multiple**

**GCF and LCM: word problems**

**Classify numbers**

**Integers**

** Integers on number lines Absolute value**

** and opposite integers**

**Compare and order integers Integer inequalities with absolute values**

**Operations with integers**

** Integer addition and subtraction rules**

** Add and subtract integers using counters**

**Add and subtract integers**

**Add and subtract three or more integers**

**Add and subtract integers: word problems**

**Integer multiplication and division rules**

**Multiply and divide integers**

**Simplify expressions involving integers and absolute values**

**Rational numbers**

**Identify rational and irrational numbers**

**Simplify fractions**

**Least common denominator**

**Round decimals and mixed numbers**

**Absolute value of rational numbers**

**Convert between decimals and fractions or mixed numbers**

**Compare rational numbers**

**Put rational numbers in order**

**Operations with rational numbers**

**Reciprocals and multiplicative inverses**

**Add and subtract rational numbers**

**Multiply and divide rational numbers**

**Simplify expressions involving rational numbers**

**Evaluate variable expressions involving rational numbers**

**Exponents and roots**

**Understanding Exponents**

**Laws Of Exponents**

**Understanding exponents**

**Evaluate exponents**

**Exponents: solve for the variable**

**Exponents with negative bases**

**Exponents with decimal and fractional bases**

**Understanding negative exponents**

**Evaluate negative exponents**

**Multiplication with exponents**

**Division with exponents**

**Multiplication and division with exponents**

**Power rule**

** Simplify expressions involving exponents**

**Square roots of perfect squares**

**Positive and negative square roots**

**Estimate positive and negative square roots**

**Relationship between squares and square roots**

**Evaluate variable expressions involving squares and square roots**

**Cube roots of perfect cubes**

**Estimate cube roots**

**Scientific Notation**

**Convert between standard and scientific notation**

**Compare numbers written in scientific notation**

**Multiply numbers written in scientific notation**

**Divide numbers written in scientific notation**

**Ratios and proportions**

**Understanding ratios**

**Equivalent ratios**

**Unit rates**

**Do the ratios form a proportion?**

**Solve proportions**

**Rate of change**

** Constant rate of change**

**Scale d****rawings and scale factors**

**Proportional Relationships**

**Identify proportional relationships**

**Find the constant of variation: graphs**

** Find the constant of variation: **

**Graph a proportional relationship**

**Write an equation for a proportional relationship**

**relationships-by-equations**

**Percents**

**Convert between percents, fractions, and decimals**

**Compare percents to fractions and decimals**

**Find what percent one number is of another**

**Find what percent one number is of another: word problems**

** Estimate percents of numbers**

**Percents of numbers and money amounts**

**Compare percents of numbers**

** Solve percent equations**

**Percent of change**

**Percent of change: word problems**

**Consumer Math**

**Measurement**

**Convert rates and measurements: customary units**

**Convert rates and measurements: metric units**

**Mixed customary units**

**Convert between customary and metric Precision**

**Convert between Celsius and Fahrenheit**

**Problem solving**

** Multi-step word problems**

**Guess-and-check word problems**

**Use Venn diagrams to solve problems**

** Elapsed time word problems**

**Charts and graphs**

**Interpret tables**

**Interpret bar graphs**

**Create bar graphs**

** Interpret box-and-whisker plots**

**Scatter plots**

**Interpret circle graphs**

**Circle graphs and central angles**

**Choose the best type of graph**

**Pythagorean Theorem**

** Pythagorean theorem: find the length of the hypotenuse**

**Pythagorean theorem: find the missing leg length**

**Pythagorean theorem: find the perimeter**

**Pythagorean theorem: word problems**

**Converse of the Pythagorean theorem: is it a right triangle?**

**Coordinate Graphs**

** Points on coordinate ****graphs**

**Quadrants and axes**

** Distance between two points**

**Geometry**

**Identify complementary, supplementary, vertical, adjacent, and congruent angles**

** Find measures of complementary, supplementary, vertical, and adjacent angles**

**Transversal of parallel lines**

**Classify triangles**

**Classify quadrilaterals**

** Find missing angles in triangles and quadrilaterals**

** Identify and classify polygons**

**Interior angles of polygons**

** Similar and congruent figures**

** Similar figures: side lengths and angle measures**

** Congruent figures: side lengths and angle measures**

**Congruence statements and corresponding parts**

**Congruent triangles: SSS, SAS, and ASA**

**Perimeter**

** Parts of a circle**

**Circles, semicircles, and quarter circles**

**Find lengths and measures of bisected lines and angles**

**Base Plans**

**Nets of 3-dimensional figures**

**Surface area of prisms and cylinders**

**Surface area of pyramids and cones**

**Volume of prisms and cylinders**

**Volume of pyramids and cones**

**Volume and surface area of spheres**

**Similar Solids**

**Volume and surface area of similar solids**

**Perimeter, area, and volume: changes in scale**

**Transformations**

**Identify reflections, rotations, and translations**

**Translations: graph the image**

**Translations: find the coordinates**

**Reflections: graph the image**

**Reflections: find the coordinates**

**Rotations: graph the image**

**Rotations: find the coordinates**

**Dilations: graph the image**

**Dilations: scale factor and classification**

**Symmetry**

**Number Sequences**

**Identify arithmetic and geometric sequences**

**Arithmetic sequences**

**Geometric sequences**

** Number sequences: mixed review**

** Number sequences: word problems**

**Evaluate variable expressions for number sequences**

**Write variable expressions for arithmetic sequences**

**Variable Expressions**

**Write variable expressions to represent diagrams**

** ****Identify terms and coefficients**

** Evaluate single-variable expressions**

**Evaluate multi-variable expressions**

** Add and subtract like terms**

**Simplify variable expressions**

**Single-Variable Equations**

**Does x satisfy the equation?**

** Model and solve equations using algebra tiles**

** Write and solve equations that represent diagrams**

**Solve one-step linear equations**

** ****Solve two-step linear equations**

** Solve equations involving squares and square roots**

** Identities and equations with no solutions**

**Linear Functions**

**Does (x, y) satisfy the linear equation?**

** Evaluate a linear function**

** Complete a function table**

** Write a rule for a function table**

** Find points on a function graph**

** Graph a line from a function table**

**Graph a line from an equation**

** Find the slope of a graph**

** Find slope from two points**

** Find slope from an equation**

** Graph a line using slope**

**Slopes of parallel and perpendicular lines**

**Nonlinear Functions**

**Identify linear and nonlinear functions**

** Does (x, y) satisfy a nonlinear equation?**

** Evaluate a nonlinear function**

**Inequalities**

** Solutions to variable inequalities**

**Solve one-step linear inequalities**

**Graph solutions to one-step linear inequalities**

**Solve two-step linear inequalities**

**Graph solutions to two-step linear inequalities**

**Solve advanced linear inequalities**

**Graph solutions to advanced linear inequalities**

**Systems of Linear Equations**

I**s (x, y) a solution to the system of equations?**

** Solve a system of equations by graphing**

**Monomial s and Polynomials**

I**dentify monomial s**

** Model polynomials with algebra tiles**

** Add and subtract polynomials using algebra tiles**

** Add and subtract polynomials**

**Add polynomials to find perimeter**

**Multiply monomials**

** ****Divide monomials**

**Multiply and divide monomials**

**Powers of monomials**

**Square and cube roots of monomials**

** Multiply polynomials using algebra tiles**

**Multiply polynomials to find area**

**Properties**

**Distributive property**

** Simplify variable expressions using properties**

** Properties of equality**

**Probability**

**P****robability of simple events**

**Probability of opposite, mutually exclusive, and overlapping events**

**Experimental probability**

**Identify independent and dependent events**

**Probability of independent and dependent events**

**Factorials**

**Permutations**

**Counting principle**

**Combination and permutation notation**

**Statistics**

**Calculate mean, median, mode, and range**

**Interpret charts to find mean, median, mode, and range**

**Mean, median, mode, and range: find the missing number**

**Changes in mean, median, mode, and range**

**Identify representative, random, and biased samples**