Cherokee County Schools
Mathematics Course of Study
Algebra I
Algebra I is a formal, in-depth study of algebraic concepts and the real number system. In this course students develop a greater understanding of and appreciation for algebraic properties and operations. Algebra I reinforces concepts presented in earlier courses and permits students to explore new, more challenging content which prepares them for further study in mathematics. The course focuses on the useful application of course content and on the development of student understanding of central concepts. Appropriate use of technology allows students opportunities to work to improve concept development. As a result, students are empowered to perform mathematically, both with and without the use of technological tools.
Because of its importance in the development of mathematical empowerment, Algebra I is required for all students. The content is also a central component of formal state-level assessments at the secondary level. To better meet the needs of students of varying abilities, school systems may offer Algebra I (140 hours/one credit) or Algebra IA and IB (280 hours/two credits). If systems choose to offer Algebra I in the eighth grade, the course must include the minimum required content as prescribed in this course of study.
Please use this document to plan mathematics lessons. The content standards define what students should know and be able to do at the conclusion of the course or grade. The order in which standards are listed within a course or grade is not intended to convey a sequence for instruction. Each standard is aligned with the appropriate student assessment and correlated with textbooks adopted by Cherokee County Schools. Bullets denote content that is related to the standards and required for instruction. Examples clarify certain components of content standards or bullets and are not exhaustive. Technology is integrated throughout the document.
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Alabama Course of Study: Mathematics |
Alabama
High School Graduation Exam |
Saxon (Lesson-Number) |
Prentice Hall (Chapter-section |
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1.
Simplify numerical expressions using properties of real numbers and
order of operations, including those involving square roots, radical form, or
decimal approximations. Example: Express Ö27 + Ö in simplified form. ·
Applying laws of exponents to simplify expressions, including those
containing zero and negative integral exponents. http://mathforum.org/mathtools/cell.html?&new_tp=11.6&co http://www.funbrain.com/algebra/ http://www.thecoo.edu/~apeter/math_interactive_sites.htm |
I-1 Apply order of operations on algebraic
expressions.
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1;
4; 5; 6; 7; 9; 11; 12; 13; 14; 16; 19; 21; 22; 29; 36; 40; 53; 62; 66; 84;
90; 112; |
1-1; 1-2; 1-3; 1-4; 1-5;
1-6; 1-7; 1-8; 8-1; 8-2; 8-3; 8-4; 8-5; 10-3; 11-1; 12-3; 12-4 |
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2.
Analyze linear functions from their equations, slopes, and
intercepts. ·
Finding the slope of a line from its equation or by applying the
slope formula. ·
Determining the equations of linear functions given two points, a
point and the slope, tables of values, graphs, or ordered pairs. ·
Graphing two-variable linear equations and inequalities on the
Cartesian plane. http://mathforum.org/mathtools/cell.html?&new_tp=11.6&co |
V – The student will be able to apply graphing techniques. 1.
Graph or identify graphs of linear equations ·
Equations may be expressed in terms of f(x) ·
The options may be four graphs. ·
The options may be four equations. 2. Graph lines given
certain conditions. ·
The following conditions may be included: ·
Two points ·
x- and y- intercepts ·
Point and slope ·
Slope and y-intercept |
51; 75; 98; 106; 107; 115 |
6-1; 6-2; 6-3; 6-4 6-5 |
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3.
Determine characteristics of a relation, including its domain, range,
and whether it is a function, when given graphs, tables of values, mappings,
or sets of ordered pairs. ·
Finding the range of a function when given its domain. Example:
finding the range of f(x)=-x2+2x-3 when given the domain
{-4, -2, 0, 2, 4} http://mathforum.org/mathtools/cell.html?&new_tp=11.6&co |
III. The student will be able to apply
concepts related to functions. 1. Identify
functions ·
May be graphs, ordered pairs, tables, or mappings. ·
May be equations when given a table of values or ordered pairs. ·
May be tables of values or ordered pairs when given an equation. ·
Functions may be expressed using either the terminology “f(x) =” or
“y =” 3.
Find the range of functions when given the domain. |
51; 82; 84; 87; 95 |
5-2; 5-3; 5-4 |
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4.
Represent graphically common relations, including: x = constant; y = constant; y = x; y = Öx; y = x2 ; y = ½x½ Identifying situations that are modeled by common
relations, including x = constant; y = constant; y = x; y = Öx; y = x2 ; y = ½x½ http://mathforum.org/mathtools/cell.html?&new_tp=11.6&co |
V. The student will be able
to apply graphing techniques. 4. Identify graphs
of common relations. ·
Equations may be expressed in terms of f(x). ·
Options my be four graphs ·
Options may be four equations ·
The common relations are:
x = constant
y = constant
y = x
y = Öx y = x2
y = ½x½ |
51; 95 |
5-1; 5-2; 5-3; 5-4; 6-3;
6-4; 6-5; 6-7; 8-7; 10-1; 10-2; 11-6;
12-2 |
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5.
Perform operations of addition, subtraction, and multiplication on
polynomial expressions. ·
Dividing by a monomial http://www.veazeys.com/math/lessons.htm |
I. The student will be able to perform basic
operations on algebraic expressions. 2. Add and subtract polynomials ·
Using the distributive property may be required. ·
Unlike denominators may be used. 3. Multiply
polynomials. ·
Multiplying two quantities in parentheses ·
Squaring a quantity in parentheses ·
Adding or subtracting ·
Raising a quantity to a power ·
Fractions may be used ·
Adding exponents may be required |
17;
18; 21; 27; 36; 40; 41; 44; 48; 49; 52; 53; 57; 86; 93; 101 |
9-1; 9-2; 9-3; 9-4; 12-5;
12-5; 12-6 |
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6.
Factor binomials, trinomials, and other polynomials using GCF,
difference of squares, perfect square trinomials, and grouping. http://www.veazeys.com/math/lessons.htm |
I. The student will be able
to perform basic operations on algebraic expressions. 4. Factor polynomials. ·
The following factoring may be required: Ø Difference of two squares Ø Greatest common monomial Ø Trinomial Ø Common binomial ·
Options will be factored completely. |
35;
69; 71; 72; 73; 88; 96; 101; 105; 109; 118; |
9-5; 0-6; 9-7; 9-8 |
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7.
Solve multi-step equations and inequalities including linear,
radical, absolute value, and literal equations. Examples:
solving for x in problems such as Öx – 4=0, Öx – 4<2, ½x½=6,
½x + 3½> 10, and y = mx + b ·
Writing the solution of an equation or inequality in set notation. ·< |