Secondary Math 3 Honors Curriculum Map

	A	B	C	D	E	F
1	Secondary Math 3 Curriculum Map (Quarter 1)
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3	Time Frame	Utah State Core Standard	Expected Student Outcome (Objective)	Essential Academic Vocabulary	Assessments (Formative & Summative)	Instructional Learning Activities

4	1 day	A.APR.1	I can add, subtract, and multiply polynomials. I understand the closure of polynomials over addition, subtraction, and multiplication.	like terms, binomial, trinomial, polynomial, closure, degree, leading coefficient	Polynomials #1, 2 ACT Elem. Algebra: operations involving functions	Compare the expansion of whole numbers to that of the expanded form of polynomials. Use both vertical and horizontal methods of addition, subtraction and multiplication.
5	1 day	F.BF.1	I can write a function that describes a relationship between two quantities. I can combine standard function types by adding, subtracting, multiplying, and dividing.	radical function, rational function, polynomial function, trigonometric function	ACT Int. Algebra: modeling, operations with functions	http://map.mathshell.org/materials/lessons.php?taskid=430&subpage=concept
6	3 days	A.APR.2	I know and can apply the Remainder Theorem.	Remainder Theorem, factor	Polynomials #3, 4 ACT Int. Algebra: roots of polynomials	Verify factors of polynomials using the Remainder Theorem Connect the factors of a polynomial to the roots of an equation. Illustrativemathematics.org
7		A.APR.3	I can identify the zeros of a polynomial. I can construct a rough graph using the zeros defined by a polynomial.	Remainder Theorem	Polynomials #7, 8 ACT Int. Algebra: roots of polynomials ACT Coordinate Geometry: graphing and equations of polynomials	Using graphing calculator applications to explore expanded and factored forms of multiple polynomials. Use a number line model to show where the function is positive, negative, or equal to zero.
8		F.IF.7c	I can graph (with or without technology) polynomial functions and show key features of the graph such as identifying zeros and end behavior.	polynomial, root, zero, solution, extrema, minimum, maximum, end behavior, domain, range	Polynomials #5 ACT Coordinate Geometry: graphing and equations of polynomials	Build on knowledge of graphing obtained in previous courses. Use technology to illustrate key features and explore behavior of polynomial functions.
9		N.CN.9	I know the Fundamental Theorem of Algebra. I can show that the Fundamental Theorem of Algebra is true for polynomials with real coefficients.	degree, i , complex numbers, imaginary, root, zero, factor, coefficient, conjugate	Polynomials #6 ACT Int. Algebra: roots of polynomials	Graph polynomial functions and pose the question, “What is the maximum number of times this polynomial can cross the axis?” Using a polynomial function of degree n that appears to have fewer than n roots, have students explain where the other roots are.
10	1 day	A.APR.4	I can prove polynomial identities. I can use polynomial identities to describe numerical relationships.	polynomial identity	Polynomials #9, 10	Prove that (n^2-1)^2 + (2n)^2 = (n+1)^2 and show how (n +1)^2 , (n^2 -1) , and (2n) can be used to generate Pythagorean triples.
11	1 day	N.CN.8	I can extend polynomial identities to the complex numbers.	i , complex number, imaginary, root, zero, factor, coefficient, conjugate pair		Build on work with quadratic equations from Secondary Mathematics II. Use technology to illustrate the relationship of non-real roots to the graph of a polynomial.
12	1 day	A.APR.5	I can use the Binomial Theorem to expand any binomial with a positive exponent.	Binomial Theorem, Pascal’s Triangle		Find a pattern for the expansion of (a + b)^n where n = 0,1,2,3,4. Relate the resulting pattern to Pascal’s Triangle and the Binomial Theorem.
13	3 days	A.SSE.4	I can derive the formula for the sum of geometric series. I can use the formula for the sum of geometric series to solve problems.	summation notation, Σ, sequence, series, infinite, finite, term		Notice the regularity in the way terms are eliminated when expanding the products: (x – 1)(x + 1), (x-1)(x^2+x+1) and (x-1)(x^3+x^2+x+1). Discuss how this leads to the general formula for the sum of a geometric series. Use fractals (Sierpenski’s Gasket, Koch Snowflake) to generate sequences and series. NCTM: Navigating through Geometry in Grades 9-12 (Chapter 4, “Visualizing Limits in Our World)
14	1 day	A.SSE.4	(New to regular for 2016-2017) I can derive and use the formula for an arithmetic series to solve problems.
15	1 day	A.SSE.4	(New to Regular for 2016-2017) I can derive and use the formula for infinite geometric series to solve problems.
16	Taught Throughout the Year	A.SSE.1, F.IF.8	I can interpret the terms, factors, and coefficients of polynomial and rational expressions. I can interpret complicated expressions by viewing one or more of their parts as a single entity. I can write a function in an equivalent, appropriate form.	factors, coefficients, terms, exponent, base, constant, variable zeros, transformation, point of discontinuity, asymptote (vertical, horizontal, oblique), period, midline, amplitude, maximum, minimum, end behavior		Extend understanding of the structure of linear, exponential and quadratic functions to radical, rational, logarithmic and polynomial functions.
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18	Essential Standard
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