RCPS Math Curriculum - Algebra I, Part 2 Benchmarks

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Algebra I, Part 2 Benchmarks

*These Benchmarks were revised in July 2010. References in black are to the 2001 SOL.  References in red are to the 2009 SOL.

 

A Guide for Parent Involvement


Note:  Chapters referenced are from the adopted text, Glencoe Algebra I.

 

1st Nine Weeks

Review Chapter 1: The Language of Algebra (1.1 - 1.6, 1.8)

Review Chapter 2:  Real Numbers (2.1 – 2.4, 2.7 Add cube roots to 2.7)

Review Chapter 3:  Solving Linear Equations (3.1 – 3.6, 3.8)

Review Chapter 4: Graphing Relations and Functions (4.1, 4.3 – 4.6)

Review Chapter 5: Analyzing Linear Equations (5.1 - 5.6)

Add Section 12.1 Inverse Variation (just algebraically) after 5.2 Direct Variation and before 5.3 Slope-Intercept Form

2nd Nine Weeks

Review Chapter 6: Solving Linear Inequalities  (6.1 – 6.3, 6.6)

Chapter 7: Solving Systems of Linear Equations and Inequalities

(7.1 – 7.4, 7.5)

Related SOL:

A.9 The student will solve systems of two linear equations in two variables, both algebraically and graphically, and apply these techniques to solve practical problems. Graphing calculators will be used as both a primary tool of solution and to confirm an algebraic solution.

Section 2.5  Displaying and Analyzing Data

Related SOL:

A.17 The student will compare and contrast multiple one-variable data sets, using statistical techniques that include measures of central tendency, range, and box-and-whisker graphs.

Chapter 13: Statistics  (13.1, 13.2, 13.4 and 13.5)

Add lessons on mean absolute deviation, standard deviation, and z-scores (Not included in textbook).

Related SOLs:

A.4 The student will use matrices to organize and manipulate data, including matrix addition, subtraction, and scalar multiplication.  Data will arise from business, industrial, and consumer situations.

A.17  The student will compare and contrast multiple one-variable data sets, using statistical techniques that include measures of central tendency, range, and box-and-whisker.

3rd Nine Weeks

Chapter 8:  Polynomials (All Sections)

Related SOLs:

A.3 The student will justify steps used in simplifying expressions and solving equations and inequalities.  Justifications will include the use of concrete objects; pictorial representations; and the properties of real numbers, equality, and inequality.

A.10 The student will apply the laws of exponents to perform operations on expressions with integral exponents, using scientific notation when appropriate.

A.11 The student will add, subtract, and multiply polynomials and divide polynomials with monomial divisors, using concrete objects, pictorial, and area representations, and algebraic manipulations.

Chapter 9: Factoring (All Sections)

Related SOL:

A.12 The student will factor completely first- and second-degree binomials and trinomials in one or two variables. The graphing calculator will be used as both a primary tool for factoring and for confirming an algebraic factorization.

Chapter 12: Rational Expressions and Equations (12.2 Only)

4th Nine Weeks

Chapter 11: Radical Expressions  (11.1 Only, Add cube roots

Related SOL:   

A.13 The student will express the square root of a whole number in simplest radical form and approximate square roots to the nearest tenth.

Chapter 10: Exploring Quadratics  (10.1, 10.2, and 10.4)

Related SOLs:

A.13 The student will solve quadratic equations in one variable both algebraically and graphically.  Graphing calculators will be used both as a primary tool in solving problems and to verify algebraic solutions.

A.14 The student will solve quadratic equations in one variable both algebraically and graphically. Graphing calculators will be used both as a primary tool in solving problems and to verify algebraic solutions.

A.15 The student will, given a rule, find the values of a function for elements in its domain and locate the zeros of the function both algebraically and with a graphing calculator. The value of f(x) will be related to the ordinate on the graph.

Section 5.7 Scatter Plots and Lines of Fit (See also p 306-307 Linear Regression)

Add Curves of Best Fit – See p 729-730

Related SOL:

A.16 The student will, given a set of data points, write an equation for a line of best fit, and use the equation to make predictions.