Algebra 2 & Trigonometry: A Complete High School Curriculum

Apply scalar multiplication to matrices by multiplying every element by the scalar, including fractions like one third and one fifth; learn to add and subtract matrices of the same dimensions.

Explore real-world matrices by reading and solving problems with shirt sizes and colors, school sports wins, workers' hours, student subject popularity, and furniture sales by wood type.

Explore reflection matrices for the x axis, y axis, and line y equals x, using coordinate matrices and matrix multiplication to find reflected images of points and shapes.

Master solving inequalities with symbols >, <, ≥, ≤, graph solutions on a number line using open or closed circles, and apply sign-flip rules for negative multipliers or divisors.

Solve absolute value inequalities by splitting into two inequalities, plotting intersections or unions on the number line, and solving examples like |A|<3, |x|>1, and |5K+3|<12.

Define relations as sets of ordered pairs, explain set notation for domain and range, and show how functions map each domain value to one range value, including one-to-one cases.

Explore the composition of functions using the f∘g notation, apply g to x, then f to the result, and evaluate examples like f(x)=x+3 and g(x)=x^2-6.

Explore inverse functions and relations by swapping domain and range, solving for y, and testing inverses with compositions; includes examples of linear and quadratic functions.

Learn how to graph lines using slope-intercept form, identify slope m and y-intercept b, plot points like (0,b), and draw lines for positive and negative slopes.

Explore zero and undefined slopes using horizontal and vertical lines, where y equals a constant and x equals a constant, and distinguish functions from non-functions.

Explore graphing systems of equations by identifying when lines intersect, yielding one, none, or infinitely many solutions; distinguish between consistent, inconsistent, independent, and dependent systems, and recognize parallel lines.

Use the elimination method to cancel a variable by adding or subtracting equations, then solve for the remaining variable and back-substitute; identify unique, no, or infinite solutions.

Explore polynomials, including monomials, binomials, and trinomials, determine polynomial degree by summing exponents, and practice adding, subtracting, and distributing polynomials with like terms.

Master dividing polynomials by monomials and by other polynomials using long division. Simplify terms, handle negative exponents, and interpret remainders through divide, multiply, subtract, and bring down steps.

Master factoring binomials through the three cases: difference of squares, sum of cubes, and difference of cubes, with greatest common factor steps and practical examples.

Factor trinomials in the form x^2 + bx + c into binomials by finding two numbers that multiply to c and add to b; if not factorable, prime.