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Place value

Comparing and ordering numbers

Rounding numbers

Introduction to integer addition

Adding integers

Introduction to integer subtraction

Subtracting integers

Application of integer operations

Understanding integer multiplication

Multiplying integers

Understanding integer division

Dividing integers

Applications of integer operations

Divisibility rules

Prime factorization

Determining common factors

Determining common multiples

Introduction to exponents

Greatest Common Factors (GCF)

Least Common Multiple (LCM)

Using models to add and subtract fractions

Adding fractions with like denominators

Subtracting fractions with like denominators

Adding and subtracting fractions with unlike denominators

Adding and subtracting mixed numbers

Multiplying fractions and whole numbers

Dividing fractions with whole numbers

Multiplying proper fractions

Multiplying improper fractions and mixed numbers

Dividing fractions and mixed numbers

Applications of fraction operations

Adding and subtracting decimals

Multiplying decimals

Dividing decimals

Order of operations (PEMDAS)

Understanding the number systems

Rational vs. Irrational numbers

Converting repeating decimals to fractions

Ratios

Rates

Proportions

Representing percents

Percents, fractions, and decimals

Percent of a number

Adding and multiplying percents

Taxes, discounts, tips and more

Simple interest

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

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

Solving two-step linear equations using multiplication and division: x/a + b = c

Solving two-step linear equations using distributive property: a(x + b) = c

Solving linear equations using multiplication and division

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations with variables on both sides

Solving literal equations

Express linear inequalities graphically and algebraically

Solving one-step linear inequalities

Solving multi-step linear inequalities

Compound inequalities

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

Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$

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

Slope intercept form: y = mx + b

General form: Ax + By + C = 0

Point-slope form: $y - y_1 = m (x - x_1)$

Rate of change

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

Graphing from slope-intercept form y=mx+b

Graphing linear functions using a single point and slope

Word problems of graphing linear functions

Parallel and perpendicular lines in linear functions

Applications of linear relations

Metric systems

Imperial systems

Conversions between metric and imperial systems

Conversions involve squares and cubic

Pairs of lines and angles

Parallel lines and transversals

Parallel line proofs

Perpendicular line proofs

Classifying triangles

Isosceles and equilateral triangles

Circle and circumference

Angles in a circle

Arcs of a circle

Areas and sectors of circles

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Introduction to probability

Organizing outcomes

Probability of independent events

Comparing experimental and theoretical probability

Determining probabilities using tree diagrams and tables

Median and mode

Mean

Range and outliers

Application of averages

Reading and drawing bar graphs

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

Frequency tables and dot plots