# Algebra 2 And Honors Algebra 2 Grades 9 10 11 12-Books Pdf

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standards below with greater depth In addition there are community service career exploration. and research project components required, Algebra 2 Enhancement. The Algebra 2 Enhancement course is designed to lend effective support to students concurrently. enrolled in Algebra 2 Using the Response to Intervention RtI model the Enhancement course. is a Tier 2 Intervention aimed at students who are at risk in mathematics It allows for rapid. response to student difficulties and provides opportunities for additional time spent on daily. targets intensity of instruction explicitly teaching and moving from the concrete to the abstract. frequent response from students and feedback from teachers as well as strategic teaching using. data to direct instruction Students are placed in the Enhancement course based on test scores. teacher parent request and academic achievement These students are enrolled in Algebra 2. Students receive elective credit for the Enhancement course. Number and Quantity Content Standards, Domain The Complex Number System N. Cluster Perform arithmetic operations with complex numbers. 1 Know there is a complex number i such that i2 1 and every complex number has the form a. bi with a and b real, I can define and apply the properties of the imaginary number i. I can write a complex number in the form of a bi where a and b are real numbers. 2 Use the relation i2 1 and the commutative associative and distributive properties to add. subtract and multiply complex numbers, I can add subtract and multiply expressions involving complex numbers. I can apply the commutative associative and distributive properties to simplify. expressions involving complex numbers, Cluster Use complex numbers in polynomial identities and equations.
7 Solve quadratic equations with real coefficients that have complex solutions. I can solve quadratic equations that have complex solutions. 8 Extend polynomial identities to the complex numbers. I can apply polynomial identities such as factoring to simplify expressions involving. complex numbers, 9 Know the Fundamental Theorem of Algebra show that it is true for quadratic polynomials. I can apply the Fundamental Theorem of Algebra to polynomial functions. Algebra Content Standards, Domain Seeing Structure in Expressions A. Cluster Interpret the structure of expressions, 1 Interpret expressions that represent a quantity in terms of its context. a Interpret parts of an expression such as terms factors and coefficients. I can distinguish parts of an expression such as terms factors and coefficients. b Interpret complicated expressions by viewing one or more of their parts as a single entity. I can analyze complicated expressions by viewing one or more of their parts as a single. 2 Use the structure of an expression to identify ways to rewrite it. I can use the structure of an expression to reconstruct it in different forms. Cluster Write expressions in equivalent forms to solve problems. 4 Derive the formula for the sum of a finite geometric series when the common ratio is not 1. and use the formula to solve problems, I can write a formula for the sum of a finite geometric series. I can solve problems using a formula for the sum of a finite geometric series. Domain Arithmetic with Polynomials and Rational Expressions A. Cluster Perform arithmetic operations on polynomials. 1 Understand that polynomials form a system analogous to the integers namely they are closed. under the operations of addition subtraction and multiplication add subtract and multiply. polynomials, I can demonstrate that polynomials are closed under the operations of integers.
Cluster Understand the relationship between zeros and factors of polynomials. 2 Know and apply the Remainder Theorem For a polynomial p x and a number a the. remainder on division by x a is p a so p a 0 if and only if x a is a factor of p x. I can divide polynomials and apply the Remainder Theorem using multiple strategies. 3 Identify zeros of polynomials when suitable factorizations are available and use the zeros to. construct a rough graph of the function defined by the polynomial. I can identify zeros of a polynomial function and use them to graph the polynomial. Cluster Use polynomial identities to solve problems. 4 Prove polynomial identities and use them to describe numerical relationships. I can apply and prove polynomial identities and use them to describe numerical. relationships, 5 Know and apply the Binomial Theorem for the expansion of x y n in powers of x and y for a. positive integer n where x and y are any numbers with coefficients determined for example. by Pascal s Triangle, I can apply the Binomial Theorem. Cluster Rewrite rational expressions, 6 Rewrite simple rational expressions in different forms write a x b x in the form q x r x b x. where a x b x q x and r x are polynomials with the degree of r x less than the degree of. b x using inspection long division or for the more complicated examples a computer. algebra system, I can simplify and rewrite rational expressions in different forms. 7 Understand that rational expressions form a system analogous to the rational numbers closed. under addition subtraction multiplication and division by a nonzero rational expression add. subtract multiply and divide rational expressions, I can simplify rational expressions using addition subtraction multiplication and.
division by nonzero rational expressions, Domain Creating Equations A. Cluster Create equations that describe numbers or relationships. 1 Create equations and inequalities in one variable and use them to solve problems from a. variety of contexts e g science history and culture including those of Montana American. I can compose and construct equations from a variety of contexts. 2 Create equations in two or more variables to represent relationships between quantities graph. equations on coordinate axes with labels and scales. I can create equations in two or more variables to represent relationships between. quantities, I can graph equations in two or more variables on the coordinate axes with labels and. 3 Represent constraints by equations or inequalities and by systems of equations and or. inequalities and interpret solutions as viable or nonviable options in a modeling context. I can write algebraic expressions and or equations to represent constraints. I can interpret solutions as viable or non viable for a problem situation. 4 Rearrange formulas to highlight a quantity of interest using the same reasoning as in solving. I can solve an equation or formula for a variable, Domain Reasoning with Equations and Inequalities A. Cluster Understand solving equations as a process of reasoning and explain the reasoning. 2 Solve simple rational and radical equations in one variable and give examples showing how. extraneous solutions may arise, I can solve simple rational and radical equations in one variable. I can distinguish between an actual solution and an extraneous solution. Cluster Represent and solve equations and inequalities graphically. 11 Explain why the x coordinates of the points where the graphs of the equations y f x and. ALGEBRA 2 AND HONORS ALGEBRA 2 Grades 9 10 11 12 Unit of Credit 1 Year Prerequisite Geometry Course Overview Domains Seeing Structure in Expressions Arithmetic

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