**Measurement**

- Unit rates
- Scale drawings and scale factors

**Equations**

- Solve linear equations
- Solve linear equations: word problems
- Solve absolute value equations
- Graph solutions to absolute value equations

**Inequalities**

- Graph a linear inequality in one variable
- Graph a linear inequality in two variables
- Write inequalities from graphs
- Write a linear inequality: word problems
- Solve linear inequalities
- Graph solutions to linear inequalities
- Solve absolute value inequalities
- Graph solutions to absolute value inequalities
- Graph solutions to quadratic inequalities
- Solve quadratic inequalities

**Functions**

- Domain and range
- Identify functions
- Evaluate functions
- Find the slope of a linear function
- Graph a linear function
- Write the equation of a linear function
- Linear functions over unit intervals

**Systems of equations**

- Is (x, y) a solution to the system of equations?
- Solve a system of equations by graphing
- Solve a system of equations by graphing: word problems
- Find the number of solutions to a system of equations
- Classify a system of equations
- Solve a system of equations using substitution
- Solve a system of equations using substitution: word problems
- Solve a system of equations using elimination
- Solve a system of equations using elimination: word problems
- Solve a system of equations using any method
- Solve a system of equations using any method: word problems
- Solve a non-linear system of equations

**Systems of inequalities**

- Is (x, y) a solution to the system of inequalities?
- Solve systems of inequalities by graphing
- Find the vertices of a solution set
- Linear programming

**Factoring**

- Factor monomials
- Factor quadratics
- Factor using a quadratic pattern
- Factor by grouping
- Factor sums and differences of cubes
- Factor polynomials

**Quadratic relations**

- Characteristics of quadratic functions
- Complete a function table: quadratic functions
- Find a quadratic function
- Graph a quadratic function
- Match quadratic functions and graphs
- Solve a quadratic equation using square roots
- Solve a quadratic equation using the zero product property
- Solve a quadratic equation by factoring
- Complete the square
- Solve a quadratic equation using the quadratic formula
- Using the discriminant

**Parabolas**

- Identify the direction a parabola opens
- Find the vertex of a parabola
- Find the axis of symmetry of a parabola
- Write equations of parabolas in vertex form from graphs
- Write equations of parabolas in vertex form using properties
- Graph parabolas

**Polynomials**

- Polynomial vocabulary
- Add and subtract polynomials
- Multiply a polynomial by a monomial
- Multiply two binomials
- Multiply two binomials: special cases
- Multiply polynomials
- Divide polynomials using long division

**Radical functions and expressions**

- Roots of integers
- Roots of rational numbers
- Find roots using a calculator
- Nth roots
- Simplify radical expressions with variables I
- Simplify radical expressions with variables II
- Multiply radical expressions
- Divide radical expressions
- Add and subtract radical expressions
- Simplify radical expressions using the distributive property
- Simplify radical expressions using conjugates
- Domain and range of radical functions
- Solve radical equations

**Rational exponents**

- Evaluate rational exponents
- Multiplication with rational exponents
- Division with rational exponents
- Power rule
- Simplify expressions involving rational exponents I
- Simplify expressions involving rational exponents II

**Rational functions and expressions**

- Rational functions: asymptotes and excluded values
- Evaluate rational expressions I
- Evaluate rational expressions II
- Simplify rational expressions
- Multiply and divide rational expressions
- Add and subtract rational expressions
- Solve rational equations

**Exponential functions**

- Evaluate exponential functions
- Match exponential functions and graphs
- Solve exponential equations
- Identify linear and exponential functions
- Exponential functions over unit intervals
- Describe linear and exponential growth and decay
- Exponential growth and decay: word problems
- Compound interest: word problems
- Continuously compounded interest: word problems

**Angle measures**

- Quadrants
- Graphs of angles
- Coterminal angles
- Reference angles

**Right triangles**

- Pythagorean Theorem
- Converse of the Pythagorean theorem
- Pythagorean Inequality Theorems
- Special right triangles

**Trigonometry**

- Trigonometric ratios: sin, cos and tan
- Trigonometric ratios: csc, sec and cot
- Trigonometric ratios in similar right triangles
- Find trigonometric ratios using the unit circle
- Sin, cos, and tan of special angles
- Csc, sec, and cot of special angles
- Find trigonometric functions using a calculator
- Inverses of sin, cos, and tan
- Inverses of csc, sec, and cot
- Solve trigonometric equations I
- Solve trigonometric equations II
- Trigonometric ratios: find a side length
- Trigonometric ratios: find an angle measure
- Solve a right triangle
- Law of Sines
- Law of Cosines
- Solve a triangle
- Area of a triangle: sine formula
- Area of a triangle: Law of Sines

**Two-dimensional figures**

- Polygon vocabulary
- Interior angles of polygons
- Perimeter
- Area of triangles and quadrilaterals
- Area and perimeter in the coordinate plane I
- Area and perimeter in the coordinate plane II
- Area and circumference of circles
- Area of compound figures
- Area between two shapes
- Area and perimeter of similar figures
- Classify quadrilaterals
- Properties of parallelograms

**Three-dimensional figures**

- Three-dimensional figure vocabulary
- Parts of three-dimensional figures
- Nets and drawings of three-dimensional figures
- Introduction to surface area and volume
- Surface area of prisms and cylinders
- Surface area of pyramids and cones
- Volume of prisms and cylinders
- Volume of pyramids and cones
- Surface area and volume of spheres
- Introduction to similar solids
- Surface area and volume of similar solids
- Surface area and volume review
- Cross-sections of three-dimensional figures
- Solids of revolution

**Congruent figures**

- Congruence statements and corresponding parts
- Solve problems involving corresponding parts
- Identify congruent figures
- SSS and SAS Theorems
- ASA and AAS Theorems
- SSS, SAS, ASA and AAS Theorems
- SSS Theorem in the coordinate plane
- Congruency in isosceles and equilateral triangles
- Hypotenuse-Leg Theorem

**Triangles**

- Classify triangles
- Triangle Angle-Sum Theorem
- Midsegments of triangles
- Triangles and bisectors
- Identify medians, altitudes, angle bisectors and perpendicular bisectors
- Angle-side relationships in triangles
- Triangle Inequality Theorem

**Similarity**

- Identify similar figures
- Similarity ratios
- Similarity statements
- Side lengths and angle measures in similar figures
- Similar triangles and indirect measurement
- Perimeters of similar figures
- Similarity rules for triangles
- Similar triangles and similarity transformations
- Similarity of circles
- Triangle Proportionality Theorem
- Areas of similar figures

**Logic**

- Identify hypotheses and conclusions
- Counterexamples
- Truth tables
- Truth values
- Conditionals
- Negations
- Converses, inverses and contrapositives
- Biconditionals

**Sequences and series**

- Classify formulas and sequences
- Find terms of an arithmetic sequence
- Find terms of a geometric sequence
- Find terms of a recursive sequence
- Evaluate formulas for sequences
- Write a formula for an arithmetic sequence
- Write a formula for a geometric sequence
- Write a formula for a recursive sequence
- Sequences: mixed review
- Introduction to sigma notation
- Identify arithmetic and geometric series
- Find the sum of a finite arithmetic or geometric series
- Introduction to partial sums
- Partial sums of arithmetic series
- Partial sums of geometric series
- Partial sums: mixed review
- Convergent and divergent geometric series
- Find the value of an infinite geometric series
- Write a repeating decimal as a fraction

**Probability**

- Introduction to probability
- Calculate probabilities of events
- Permutations
- Counting principle
- Permutation and combination notation
- Find probabilities using permutations and combinations
- Find probabilities using two-way frequency tables
- Identify independent events
- Probability of independent and dependent events
- Find conditional probabilities
- Independence and conditional probability
- Find conditional probabilities using two-way frequency tables
- Find probabilities using the addition rule
- Find probabilities using the normal distribution

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