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Algebra I Part 1
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SOL Resources. Click on the SOL number for additional resources.
Apt1.1 (Same as A.1) The student will solve multistep linear equations and inequalities in one variable, solve literal equations (formulas) for a given variable and apply these skills to solve practical problems. Graphing calculators will be used to confirm algebraic solutions. Apt1.2 (Same as A.2) The student will represent verbal quantitative situations algebraically and evaluate these expressions for given replacement values of the variables. Students will choose an appropriate computational technique, such as mental mathematics, calculator, or paper and pencil. Apt1.3 (Same as 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. Apt1.4 (Same as 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. Apt1.5 (Same as A.5) The student will create and use tabular, symbolic, graphical, verbal, and physical representations to analyze a given set of data for the existence of a pattern, determine the domain and range of relations, and identify the relations that are functions. Apt1.6 (Same as A.6) The student will select, justify, and apply an appropriate technique to graph a linear function in two variables. Techniques will include slope-intercept, x- and y-intercepts, graphing by transformation, and the use of the graphing calculator. Apt1.7 (Same as A.7) The student will determine the slope of a line when given an equation of the line, the graph of the line, or two points on the line. Slope will be described as rate of change and will be positive, negative, zero, or undefined. The graphing calculator will be used to investigate the effect of changes in the slope on the graph of the line. Apt1.8 (Same as A.8) The student will write an equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line. Apt1.13 (Same as 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. Apt1.15 (Same as 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. Apt1.16 (Same as 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. Apt1.17 (Same as A.17) The student will compare multiple one-variable data sets, using statistical techniques that include measures of central tendency, range, and box-and-whisker graphs. Apt1.18 (Same as A.18) The student will analyze a relation to determine whether a direct variation exists and represent it algebraically and graphically, if possible. Back to top. Objective: Apt1.1 The student will solve multistep linear equations and inequalities in one variable, solve literal equations (formulas) for a given variable and apply these skills to solve practical problems. Graphing calculators will be used to confirm algebraic solutions. Text Resources: 3.1-3.6, 4.1, 4.2, 4.4 Related Web Sites: http://curry.edschool.virginia.edu/k12/algebra/ http://www.visual-math.com/unsolve.htm http://www-sci.lib.uci.edu/HSG/RefCalculators.html http://www.ccomputer.com/amprob2.html Suggested Manipulatives: Algebra Lab Gear Technology Resources: Graphing Calculators Other Resources: CORD #15 Videos: Power of Algebra #3, #4 Algebra with Pizzazz - Book A Also see RCPS Curriculum Guide for Algebra I for Objective A.1 Assessment Suggestions: Suggestions for Integration: . Back to top. Objective: Apt1.2 The student will represent verbal quantitative situations algebraically and evaluate these expressions for given replacement values of the variables. Students will choose an appropriate computational technique, such as mental mathematics, calculator, or paper and pencil. Text Resources: 1.1, 1.5, 2.9 Related Web Sites: http://curry.edschool.virginia.edu/k12/algebra/ http://www-sci.lib.uci.edu/HSG/RefCalculators.html http://raven.jmu.edu/~hayska/webquest.html http://www.cam.org/~aselby/prob.html Suggested Manipulatives: Technology Resources: Other Resources:   Videos: Power of Algebra #10 "Words to Symbols" Algebra with Pizzazz - Books A & B Also see RCPS Curriculum Guide for Algebra I for Objective A.2 Assessment Suggestions: Suggestions for Integration: . Back to top. Objective: Apt1.3 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. Text Resources: 1.3, 1.6-1-8, 2.1, 2.3-2.7, 3.1-3.4 Related Web Sites: http://curry.edschool.virginia.edu/k12/algebra/ http://www.idbsu.edu/people/jbrennan/algebra/Algebra_notes.html http://forum.swarthmore.edu/dr.math/problems/cheliu.6.20.96.html http://library.advanced.org/10030/2propert.htm http://www.iit.edu/~smile/ma8906.html Suggested Manipulatives: Algebra Lab Gear Integer chips Technology Resources: Other Resources: Videos: Power of Algebra #3, #5 Teacher made Matho (like Bingo) Also see RCPS Curriculum Guide for Algebra I for Objective A.3 Assessment Suggestions: Suggestions for Integration: . Back to top. Objective: 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. Text Resources: 2-3 Related Web Sites: http://curry.edschool.virginia.edu/k12/algebra/ http://www.astro.virginia.edu/~eww6n/math/MatrixAddition.html http://www.astro.virginia.edu/~eww6n/math/MatrixMultiplication.html Suggested Manipulatives: Technology Resources: Other Resources: Assessment Suggestions: Suggestions for Integration: . Back to top. Objective: Apt1.5 The student will create and use tabular, symbolic, graphical, verbal, and physical representations to analyze a given set of data for the existence of a pattern, determine the domain and range of relations, and identify the relations that are functions. Text Resources: 1.2, 1.9, 5.1-5.6 Related Web Sites: http://curry.edschool.virginia.edu/k12/algebra/ http://www.kn.pacbell.com/wired/bluewebn/fr_Mathematics.html http://www2.hawaii.edu/suremath/howTo.html http://www2.hawaii.edu/suremath/intro_algebra.html http://math.rice.edu/~lanius/algebra/stress.htm http://curry.edschool.virginia.edu/k12/algebra/ http://tqd.advanced.org/2647/algebra/funcbasc.htm http://www.kn.pacbell.com/wired/bluewebn/fr_Mathematics.html Suggested Manipulatives: Technology Resources: MacNumerics Software Other Resources: Algebra with Pizzazz - Book D NCTM Addenda Series "Patterns & Functions" (Ch. 5) Also see RCPS Curriculum Guide for Algebra I for Objective A.5 Assessment Suggestions: Suggestions for Integration: . Back to top. Objective: Apt1.6 The student will select, justify, and apply an appropriate technique to graph a linear function in two variables. Techniques will include slope-intercept, x- and y-intercepts, graphing by transformation, and the use of the graphing calculator. Text Resources: 5.1, 6.5 Related Web Sites: http://curry.edschool.virginia.edu/k12/algebra/ http://www.bremenbraves.com/algebra http://www.kn.pacbell.com/wired/bluewebn/fr_Mathematics.html http://www.webmath.com/graphing.html Suggested Manipulatives: Technology Resources: MacNumerics software Other Resources: Algebra with Pizzazz - Books C & D Also see RCPS Curriculum Guide for Algebra I for Objective A.6 Assessment Suggestions: Suggestions for Integration: . Back to top. Objective: A.7 The student will determine the slope of a line when given an equation of the line, the graph of the line, or two points on the line. Slope will be described as rate of change and will be positive, negative, zero, or undefined. The graphing calculator will be used to investigate the effect of changes in the slope on the graph of the line. Text Resources: 6.1, 6.3, 6.4, 6.6 Related Web Sites: http://curry.edschool.virginia.edu/k12/algebra/ http://www.kn.pacbell.com/wired/bluewebn/fr_Mathematics.html Suggested Manipulatives: - Line spinner grid overlay for transparency (find slope of line on grid) - Grid paper Technology Resources: - Graphing Calculators - Computer Software Britannica Alg. I (1st & 2nd semester) - Computer Software by Sunburst "Green Globs & Graphing Equations" Other Resources: - Algebra with Pizzazz (Books C &D) Assessment Suggestions: - Merrill Alg. I Evaluation Masters - Student work on transparencies Suggestions for Integration: - Merrill Alg. I TE pg. 399 Back to top. Objective: A.8 The student will write an equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line. Text Resources: 6.2-6.4, 6.6 Related Web Sites: http://curry.edschool.virginia.edu/k12/algebra/ http://forum.swarthmore.edu/sum95/ruth/sketches/algcalc.sketches.html http://www.kn.pacbell.com/wired/bluewebn/fr_Mathematics.html http://cs.fit.edu/~wds/classes/cse5255/thesis/lineEqn/lineEqn.html#ptSlope http://cs.fit.edu/~wds/classes/cse5255/thesis/lineEqn/lineEqn.html#ptIntercept http://www.dekalb.dc.peachnet.edu/~jgutliph/Intermediate_Algebra/Equations_of_lines.htm Suggested Manipulatives: Technology Resources: - Graphing Calculators - Computer Software Britannica Alg. I (2nd semester) - Computer Software by Sunburst "Green Globs & Graphing Equations Other Resources: - Algebra with Pizzazz (Books C & D) Assessment Suggestions: - Merrill Alg. I Evaluation Masters - Building equations from illustrated lines Suggestions for Integration: - Merrill Alg. I TE pg. 399 Back to top. Objective: Apt1.13 The student will express the square root of a whole number in simplest radical form and approximate square roots to the nearest tenth. Text Resources: 2.8 Related Web Sites: http://curry.edschool.virginia.edu/k12/algebra/ http://www.idbsu.edu/people/jbrennan/algebra/Algrebra_notes.html http://www-sci.lib.uci.edu/HSG/RefCalculators.html Suggested Manipulatives: Technology Resources: Other Resources: Algebra with Pizzazz - Book D Algebra 1 Structure & Method pages 515 - 516 (Houghton & Mifflin) Also see RCPS Curriculum Guide for Algebra I for Objective A.13 Assessment Suggestions: Suggestions for Integration: . Back to top. Objective: Apt1.15 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. Text Resources: 1.5, 5.3, 5.5 Related Web Sites: http://curry.edschool.virginia.edu/k12/algebra/ http://www-sci.lib.uci.edu/HSG/RefCalculators.html http://library.advanced.org/10030/7relafun.htm http://www.bremenbraves.com/algebra/index.html Suggested Manipulatives: Technology Resources: Other Resources: CORD #25 Videos: CORD #25 video Also see RCPS Curriculum Guide for Algebra I for Objective A.16 Assessment Suggestions: Suggestions for Integration: . Back to top. Objective: 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. Text Resources: 6.3 Related Web Sites: http://curry.edschool.virginia.edu/k12/algebra/ http://www.crpc.rice.edu/CRPC/GT/sboone/Lessons/Titles/lphouse.html http://www.kn.pacbell.com/wired/bluewebn/fr_Mathematics.html Suggested Manipulatives: - Grid Paper Technology Resources: - Graphing Calculators Other Resources: - NCTM Addenda Series "Dealing with Data & Change" (chapter 5) - Creative Publications "Algebra" pg. 429-431 - Exploring Data (Dale Seymour Publications) Assessment Suggestions: - Data Project Suggestions for Integration: - Science - Social Studies Back to top. Objective: 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. Text Resources: 1.4, 2.2, 3.7, 5.7 Related Web Sites: http://curry.edschool.virginia.edu/k12/algebra/ http://www.bremenbraves.com/lessonpl/project2.html http://www.kn.pacbell.com/wired/bluewebn/fr_Mathematics.html http://econ8.hku.hk/stat/hyperstat/A28117.html http://econ8.hku.hk/stat/hyperstat/desc_univ.html Suggested Manipulatives: - Grid Paper Technology Resources: - Graphing Calculators Other Resources: - Middle School with Pizzazz (Book E) - NCTM Addenda Series "Dealing with Data and Change" Assessment Suggestions: - Merrill Alg. I Teacher Resource Evaluation Masters - Statisical data project Suggestions for Integration: - Merrill Alg. I TE pg. 559 Back to top. Objective: A.18 The student will analyze a relation to determine whether a direct variation exists and represent it algebraically and graphically, if possible. Text Resources: 4.8 Related Web Sites: http://curry.edschool.virginia.edu/k12/algebra/ http://library.advanced.org/10030/7invrfun.htm Suggested Manipulatives: - Spoons, beakers - pg. 162 TE Merrill Alg. I - Grid Paper Technology Resources: - Graphing Calculators Other Resources: - Algebra with Pizzazz (Book D) pg. 13-19 - Creative Publications "Algebra" pg. 138, 146-147, 438 Assessment Suggestions: - Merrill Alg. I Teacher Resource Evaluation Masters Suggestions for Integration: - Merrill Alg. I TE pg. 133 Back to top.
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