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Number Theory

Understanding the number systems

Prime factorization

Greatest Common Factors (GCF)

Least Common Multiple (LCM)

Operations with Integers

Multiplying integers

Dividing integers

Rational Numbers

Absolute value functions

Rational vs. Irrational numbers

Converting repeating decimals to fractions

Exponents and Roots

Using exponents to describe numbers

Squares and square roots

Product rule of exponents

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Solving for exponents

Cubic and cube roots

Scientific Notation

Scientific notation

Ratios and Proportions

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Proportional Relationships

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Graphing and writing equations of proportional relationships

Applications of proportional relationships

Identifying proportional relationships

Percents

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Percent of a number

Consumer Math

Taxes, discounts, tips and more

Simple interest

Conversions between metric and imperial systems

Conversions involve squares and cubic

Measurement

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Imperial systems

Data and Graphs

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Reading and drawing histograms

Reading and drawing line graphs

Box-and-whisker plots and scatter plots

Reading and drawing Venn diagrams

Stem-and-leaf plots

Pythagorean Theorem

Pythagorean theorem

Using the pythagorean relationship

Word problems of pythagorean relationship

Coordinate Graphs

Distance formula: d = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Geometry

Introduction to surface area of 3-dimensional shapes

Nets of 3-dimensional shapes

Surface area of prisms

Surface area of cylinders

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

Transformations

Line symmetry

Rotational symmetry and transformations

Tessellations using translations and reflections

Number Sequences

Arithmetic sequences

Arithmetic series

Geometric sequences

Infinite geometric series

Single-Variable Equations

Using algebra tiles to factor polynomials

Determine square roots of rational numbers

Model and solve one-step linear equations: ax = b, x/a = b

Solving linear equations using addition and subtraction: ax + b = c

Linear Functions

Slope equation: m = \(\frac{y_2-y_1}{x_2- x_1}\)

Slope-Y-intercept form: y = mx + b

Linear equations

Parallel line equations

Perpendicular line equations

Representing patterns in linear relations

Solving linear equations by graphing

Nonlinear Functions

Non-linear equations

Inequalities

Compound inequalities

Express linear inequalities

Solving one-step linear inequalities

Solving multi-step linear inequalities

Systems of Linear Equations

Money related questions in linear equations

Unknown number related questions in linear equations

Distance and time related questions in linear equations

Rectangular shape related questions in linear equations

Determining number of solutions to linear equations

Solving linear systems by graphing

Using elimination method to solve systems of equations

Using substitution method to solve systems of equations

Monomials and Polynomials

Characteristics of polynomials

Adding and subtracting polynomials

Multiplying and dividing monomials

Multiplying polynomials by monomials

Multiplying monomial by monomial

Multiplying polynomial by polynomial

Probability

Fundamental counting principle

Factorial notation

Permutations

Combinations

Probability of independent events 

Probability with Venn diagrams

Statistics

Median and mode

Mean

Range and outliers

Application of averages

Operations with Rational Numbers

Adding and subtracting of rational numbers

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<ul type="disc">
<li>Understanding the Number Systems</li>
<li>Absolute Value Functions</li>
<li>Adding and Subtracting Rational Expressions</li>
<li>Using Exponents to Describe Numbers</li>
<li>Ratios</li>
<li>And More</li>
</ul>
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