Integrated Algebra II Curriculum

Expressions and Equations

1. Evaluating Numeric Expressions / Order of Operations
2. Evaluating algebraic expressions
3. Properties of operations
4. Inverse operations
5. Adding and Subtracting monomials (combining like terms)
6. 1 and 2-step equations
7. Equations with variables on both sides
8. Distributive property / Equations with Parenthesis
9. Solving fractional equations
10. Literal Equations

Monomials and Polynomials

1. Adding and subtracting monomials and polynomials
2. Zero exponents and negative exponents
3. Multiplying monomials
4. Multiplying polynomials (binomial times binomial and binomial times trinomial)
5. Dividing monomials
6. Dividing polynomials by monomials
7. Scientific Notation (adding, subtracting, multiplying and dividing)

Factoring and Quadratics

1. Finding the greatest common factor
2. GCF factoring
3. Difference of two squares
4. Factoring trinomials (c > 0)
5. Factoring trinomials (c < 0)
6. Factoring trinomials (leading coefficient)
7. Factoring completely
8. Solving quadratic equations

Algebraic Fractions

1. Simplifying algebraic fractions
2. Adding and subtracting algebraic fractions (same denominators)
3. Adding and subtracting algebraic fractions (different denominators)
4. Multiplying algebraic fractions
5. Dividing algebraic fractions
6. Multiplying and dividing algebraic fractions containing polynomials

Word Problems

1. Translating sentences into algebra
2. Number problems
3. Larger/smaller numbers (comparison problems)
4. Finding 1 or 2 numbers
5. Consecutive Integers
6. Word Problem Applications
7. Money Problems
8. Perimeter and area word problems

Ratio and Proportion

1. Ratios and proportions
2. Ratio word problems
3. Direct variation, unit rates/conversions
4. Percent word problems
5. Similar polygons

Inequalities

1. Solving and graphing inequalities
2. Compound inequalities
3. Translating verbal inequalities
4. Solving verbal problems using inequalities

Geometry

1. Pairs of angles
2. Parallel lines
3. Classifying triangles by angles
4. Triangle inequality theorem; classifying triangles by sides
5. Isosceles triangles
6. Right triangles - Pythagorean Theorem
7. Right triangle trigonometry – sine, cosine, and tangent

a)    finding a missing side

b)    finding a missing angle (sin^-1, cos^-1, tan^-1)

c)     trigonometry word problems – angle of elevation, angle of depression

8. Interior and exterior angles of regular polygons
9. Quadrilaterals – properties and word problems

a)    Parallelograms and rectangles

b)    Rhombuses and squares

c)     Trapezoids

10. Quadrilateral word problems; perimeter word problems

Area and Volume

1. Area and circumference of circles; leaving answers in terms of p
2. Area (parallelogram, rectangle, square, rhombus, triangle, trapezoid)
3. Shaded Areas
4. Volumes (Cube, rectangular solid, cylinder, cone)

Probability

1. Simple probability
2. And (1 event)
3. Or (1 event)
4. Counting principle
5. Tree diagrams
6. 2 events  with replacement
7. 2 events without replacement
8. Permutations and factorials
9. Combinations
10. Using combinations to find probabilities

Statistics

1. Organizing data – frequency tables, stem and leaf
2. Mean, median, mode
3. Quartiles and percentiles
4. Box and whisker
5. Frequency histograms
6. Cumulative frequency tables and histograms

Radicals

1. Simplifying radicals
2. Adding and subtracting radicals
3. Multiplying and dividing radicals
4. Applications with radicals

Coordinate Geometry

1. Graphing polygons – finding simple and irregular areas
2. Slope – types, counting slope, formula
3. Finding the solution set of an equation with 2 variables
4. Graphing linear equations in slope-intercept form (y = mx + b) and using the calculator
5. Writing linear equations given the slope and the y-int; writing equations given 2 points
6. Parallel and perpendicular lines; writing equations of lines II or ^ to given lines
7. Linear applications
8. Midpoint and distance formula
9. Graphing linear inequalities