12-1 Identify various sampling techniques Recognize a biased sample 12-2 Draw a tree diagram using the given sample space Count outcomes using a tree diagram Determine the possible number of outcomes using the Counting Principle Determine the value of a factorial 12-3 Identify if a situation is a permutation or combination Evaluate expressions using the definition of a permutation Evaluate expressions using the definition of a combination Determine probabilities using permutations Determine probabilities using combinations 12-4 Find the probability of two independent events Find the probability of two dependent events Find the probability of two mutually exclusive events Find the probability of two mutually inclusive events 12-5 Determine if a distribution is valid Use random variables to compute probability Create a probability histogram Use probability distributions to solve word problems 12-6 Use theoretical and experimental probability to represent and solve problems involving uncertainty Perform probability simulations to model situations involving uncertainty 4-6 Given a scatter plot determine the nature of the correlation Create a scatter plot Create and draw a line of best fit Use a line of best fit to make and evaluate predictions 10-4 Find the length of a leg or a hypotenuse of a right triangle Determine whether a triangle is a right triangle using the Pythagorean Theorem Pg. 709-715 7-1 Determine if an expression is a monomial Multiply Monomials Simply expressions involving powers of monomials 7-2 Simplify expressions involving the quotient of monomials Simplify expressions involving the quotient of monomials raised to a power Simplify expressions containing negative exponents 7-3 Identify whether a polynomial is a monomial, binomial, or trinomial Find the degree of a monomial Find the degree of a polynomial Arrange the terms of a polynomial in the ascending or descending order 7-4 Add polynomials Subtract polynomials 7-5 Find the product of a monomial and a polynomial Simplify expressions using the distributive property Solve equations involving polynomials 7-6 Multiply two binomials by using the Vertical, Distributive, or FOIL method Multiply two polynomials by using the Distributive Property 7-7 Find the square of a sum or difference of a binomial Find the product of a sum and a difference of two binomials 11-5 Divide a polynomial by a monomial Divide a polynomial by a binomial using long division *** Supplement: Scientific Notation Write and evaluate a number in scientific notation Write and evaluate a number in standard notation 8-1 Find prime factorizations of monomials Find the greatest common factors of monomials 8-2 Factor polynomials by using the Distributive Property Factor polynomials by using the Grouping method Solve quadratic equations of the form ax2 + bx = 0 8-5 Factor binomials that are the differences of two squares Apply several different factoring techniques Solve equations involving the differences of two squares 8-6 Determine if a trinomial is a perfect square trinomial Factor perfect square trinomials Apply several different factoring techniques Solve equations involving perfect squares Solve word problems using various factoring methods 8-3 Factor trinomials of the form x2 ± bx ± c Solve equations of the form x2 ± bx ± c = 0 8-4 Factor trinomials of the form ax2 ± bx ± c Determine whether a polynomial is prime Solve equations of the form ax2 ± bx ± c = 0 Solve word problems using various factoring methods *** Supplement: ALL Methods of Factoring and Solving *** 11-2 Identify any restrictions for the domain of a rational expression Simplify rational expressions Solve word problems using rational expressions 11-3 Multiply rational expressions Use dimensional analysis with multiplication 11-4 Divide rational expressions Use dimensional analysis with division