MATHEMATICS
MATHEMATICS
INSTRUCTIONAL MATERIALS REVIEW
1998-1999
STANDARDS OF LEARNING/TEXTBOOK CORRELATIONS
Algebra I
MATHEMATICS STANDARDS OF LEARNING
TEXTBOOK CORRELATION
1998-1999
Title: AGS Algebra
Publisher: American Guidance Service, Inc. (AGS)
Grade Level/Course: Algebra I
STANDARD CORRELATION
|A.1 |The student will solve linear equations and inequalities in one variable, solve literal equations (formulas) |SE: |16, 17, 58-84, 90-108, 370, 371, 372-373 |
| |for a given variable and apply these skills to solve practical problems. Graphing calculators will be used to|TE: |16, 17, 58-84, 90-108 |
| |confirm algebraic solutions. | | |
|A.2 |The student will represent verbal quantitative situations algebraically and evaluate these expressions for |SE: |See e.g. 5, 6, 11, 113, 24, 61, 63, 67, 77, 83, 93, 97 |
| |given replacement values of the variables. Students will choose an appropriate computational technique, such |TE: |See TE sidebars throughout |
| |as mental mathematics, calculator, or paper and pencil | |Mental Math e.g. 79, 93, 117, 121, 127 |
| | | |Modeling Equation e.g. 59 |
| | | |Manipulative e.g. 61, 63, 65, 69, 75 |
| | | |Calculator e.g. 67, 101, 115, 119, 125 |
|A.3 |The student will justify steps used in simplifying expressions and solving equations and inequalities. |SE: |16-19, 58-84, 3467, 370-371 |
| |Justifications will include the use of concrete objects, pictorial representations, and the properties of |TE: |16-19, 58-84 |
| |real numbers. | | |
|A.4 |The student will use matrices to organize and manipulate data, including matrix addition, subtraction, and |SE: |170-171, 292, 378-379 |
| |scalar multiplication. Data will arise from business, industrial, and consumer situations. |TE: |171, 197 |
STANDARD CORRELATION
|A.5 |The student will analyze a given set of data for the existence of a pattern, represent the pattern |SE: |170-171, 232-243, 248-253, 263, 264, 268-269, 274-277, 361, 378-379, 382-385 |
| |algebraically and graphically if possible, and determine if the relation is a function | |170-171, 236, 245, 248-253, 274-277 |
| | |TE: | |
|A.6 |The student will select, justify, and apply an appropriate technique to graph a linear function in two |SE: |238-239, 240-243, 262-263, 361, 382-383 |
| |variables. Techniques will include slope-intercept, x- and y- intercepts, graphing by transformation, and |TE: |236-239, 240-243, 262-263, 361 |
| |the use of the graphing calculator. | | |
|A.7 |The student will determine the slope of a line when given an equation of the line, the graph of a line, or |SE: |240-243, 262-265, 361, 382-383 |
| |two points on the line. Slope will be described as rate of change and will be positive, negative, zero, or |TE: |240-243, 262-265, 361 |
| |undefined. The graphing calculator will be used to investigate the effect of changes in the slope on the | | |
| |graph of the line. | | |
|A.8 |The student will write an equation of a line when given the graph of the line, two points on the line, or |SE: |236-237, 262-269, 274-279, 383-385 |
| |the slope and a point on the line. |TE: |236-237, 262-269, 274-279 |
|A.9 |The student will solve systems of two linear equations in two variables, both algebraically and graphically,|SE: |232-254, 260-283, 382-385 |
| |and apply these techniques to solve practical problems. Graphing calculators will be used as both a primary |TE: |232-254, 260-283 |
| |tool of solution and to confirm an algebraic solution | | |
|A.10 |The student will apply the laws of exponents to perform operations on expressions with integral exponents, |SE: |20, 21, 114-121, 374-375, 438, 460 |
| |using scientific notation when appropriate. |TE: |20-21, 114-121 |
|A.11 |The student will add, subtract, and multiply polynomials and divide polynomials with monomial divisors, |SE: |122-136, 374-375 |
| |using concrete objects, pictorial representations, and algebraic manipulations |TE: |122-136 |
|A.12 |The student will factor completely first- and second-degree binomials and trinomials in one or two |SE: |4-, 41, 146-164, 348-351, 376-377, 390 |
| |variables. The graphing calculator will be used as both a primary tool for factoring and for confirming an |TE: |40-41, 146-164, 348-351 |
| |algebraic factorization. | | |
STANDARD CORRELATION
|A.13 |The student will estimate square roots to the nearest tenth and use a calculator to compute decimal |SE: |46-47, 48-49, 296-297, 310-311, 369, 386 |
| |approximations of radicals |TE: |46-47, 48-49, 296-297, 310-311, 369, 386 |
|A.14 |The student will solve quadratic equations in one variable both algebraically and graphically. Graphing |SE: |160-163, 348-362, 377, 390-391 |
| |calculators will be used both as a primary tool in solving problems and to verify algebraic solutions. |TE: |160-163, 348-362 |
|A.15 |The student will determine the domain and range of a relation given a graph or a set of ordered pairs and |SE: |172-174 |
| |will identify the relations that are functions. |TE: |172-174 |
|A.16 |The student will, given a rule, find the values of a function for elements in its domain and locate the |SE: |246-247, 248-253, 254-255, 256 |
| |zeros of the function both algebraically and with a graphing calculator. The value of f(x) will be related |TE: |246-247, 248-253, 254-255, 256 |
| |to the ordinate on the graph. | | |
|A.17 |The student will be given a set of data points, write an equation for a line of best fit, using the median |SE: |237, 244-247, 258, 383 |
| |fit method, and use the equation to make predictions. |TE: |237, 244-247, 258, 383 |
|A.18 |The student will compare multiple one-variable data sets, using statistical techniques that include measures|SE: |172-187, 378-379 |
| |of central tendency, range, stem-and-leaf plots, and box-and-whisker graphs. |TE: |172-187 |
|A.19 |The student will analyze a relation to determine whether a direct or inverse variation exists and represent |SE: |42-45 |
| |it algebraically and graphically, if possible. |TE: |42-45 |
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