## Saturday, August 6, 2016

### #Alg2Chat Scope and Sequence

Julie at I Speak Math has been kind enough to organize a group of algebra 2 teachers on twitter.  You are welcome to join us by posting to the hashtag and blogging once per month or so about your algebra 2 class.  It was recommended that our first post consist of our scope and sequence so that we can determine which teachers might be teaching similar topics at the same time.  Hopefully this will aide in collaboration.  I am using standards based grading.  I number my objects as #.#  The first number is the unit number and the second number is the objective number within that unit.  The first year I did this, I just numbered from about 1 to 130.  It made making changes to the list more difficult.  Now when I need to add or subtract a topic, I don't need to renumber all of the objectives, just the ones in the same unit.

Here is my list.  Notice the complete absence of probability, data analysis and matrices :(  I do need help with applications and projects.  I have projects for chapters 3, 7, and 10, but nothing else.  I really want to find ways to make this stuff applicable.  If you have anything, please share.

First Semester

3.1 Write a direct variation equation, including word problems
3.2.  Classify/Write Equations for parallel and perpendicular lines
3.3.  Use the substitution method
3.4.  Use the elimination method
3.5. Use a system of equations to solve a word problem
3.6 Graph linear inequalities in two variables
3.7 Graph a system of linear inequalities
3.8 Identify the domain and range of a function
3.9 Estimate correlation coefficients
3.10 Approximate a best-fitting line and make predictions using the line
3.11 Graph an absolute value equation and identify the domain, range, and transformations

4.1 Simplify, add, and subtract polynomials
4.2 Use Laws of exponents to multiply a polynomial by a monomial
4.3 Multiply polynomials
4.4 Factor polynomials using GCF
4.5 Factor the difference of two squares
4.6 Factor the sum or difference of two cubes
4.7 Factor polynomials by grouping
4.9 Factor polynomials in quadratic form
4.10 Solve polynomial equations
4.11 Solve word problems using polynomial equations
4.12 Solve polynomial inequalities

6.1 Find roots with rational solutions
6.2 Solve quadratic equations by finding square roots
6.3 Simplify nth roots
6.4 Multiply nth roots
6.5 Divide nth roots
6.6 Graph a square root function and identify the domain and range
6.7 Graph a cube root function and identify the domain and range
6.9 Simplify products of binomials that contain radicals
6.10 Simplify quotients of binomials that contain radicals
6.12 Solve an equation with two radicals
6.13 Solve quadratic equations with complex solutions
6.14 Add and subtract complex numbers
6.15 Multiply complex numbers
6.16 Divide complex numbers

7.1 Solve quadratic equations by completing the square
7.3 Use the quadratic formula to solve word problems.
7.4 Determine the nature of the roots of a quadratic equation by using the discriminant
7.5 Solve equations in quadratic form
7.6 Graph a quadratic function in vertex/completed square form and identify the domain and range
7.7 Write a quadratic function in vertex/completed square form
7.8 Find the minimum or maximum value
7.9 Graph a quadratic function in standard form and identify the domain and range
7.10 Graph a quadratic function in intercept/factored form and identify the domain and range
7.11 Write a quadratic function in intercept/factored form
7.12 Use quadratic functions to solve word problems

5.1 Write an inverse variation equation, including word problems
5.2 Simplify quotients using the laws of exponents
5.3 Simplify expressions involving zero or negative exponents
5.4 Simplify rational expressions
5.5 Multiply and divide rational expressions
5.6 Add and subtract rational expressions
5.7 Simplify complex fractions
5.8 Solve a rational equation by using the LCD (identify extraneous solutions if needed)
5.9 Use rational equations to solve word problem
5.10 Graph simple rational functions and identify the domain and range
5.11 Graph general rational functions and identify the domain and range

Second Semester

8.1 Use polynomial long division
8.2 Find all zeros of a polynomial function
8.3 Use zeros to write a polynomial function
8.4 Determine the end behavior and graph a polynomial
8.5 Identify turning points
8.6 Identify increasing or decreasing intervals
8.7 Graph polynomial functions and identify the domain and range

9.1 Find the distance between two points
9.2 Find the midpoint of a segment
9.3 Use midpoint and/or distance to solve a word problem.
9.4 Write an equation for a circle
9.5 Graph a circle and identify the domain and range
9.6 Write an equation for a parabola
9.7 Graph a parabola (horizontal or vertical) given and identify the domain and range
9.8 Write an equation for an ellipse
9.9 Graph an ellipse and identify the domain and range
9.10 Write an equation for a hyperbola
9.11 Graph a hyperbola and identify the domain and range
9.12 Identify the type of conic section given an equation
9.13 Solve a quadratic system of equations
9.14 Use a quadratic system of equations to solve a word problem.

10.1 Evaluate rational exponents
10.2 Use properties of rational exponents
10.3 Solve an equation with a rational exponent
10.4 Evaluate real exponents
10.5 Find compositions of functions
10.6 Verify that functions are inverses
10.7 Find the inverse of a function - graphically
10.8 Find the inverse of a function - algebraically
10.9 Evaluate logarithms by rewriting the logarithm in exponential form
10.10 Find the inverse of logarithmic functions
10.11 Find the inverse of exponential functions
10.12 Graph logarithmic functions and identify the domain and range
10.13 Expand a logarithmic expression
10.14 Condense a logarithmic expression
10.15 Use the change-of-base formula
10.16 Solve exponential equations
10.17 Solve logarithmic equations
10.18 Graph an exponential growth/decay model and identify the domain and range
10.19 Use the compound interest formula
10.20 Use doubling-time growth and half-life decay formulas
10.21 Write exponential functions

11.1 Find missing terms of a sequence
11.2 Determine whether a sequence is arithmetic, geometric, or neither and give the common difference/ratio
11.3 Write a rule for an arithmetic sequence, including word problems
11.4 Write a rule for a geometric sequence, including word problems
11.5 Convert between sigma notation and expanded form of a series
11.6 Find the sum of an arithmetic series, including word problems
11.7 Find the sum of a geometric series, including word problems
11.8 Find the sum of an infinite geometric series such that -1< r< 1, including word problems

17.1 Complete a truth table for a compound statement
17.2 Write the converse, inverse and/or contrapositive of an if-then statement
17.3 Complete a truth table for a conditional, converse, contrapositive, or inverse statement
17.4 Determine the truth value of conditional and biconditional statements
17.5 Complete a truth table for a biconditional statement
17.6 Show two statements are equivalent (or not equivalent)