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Algebra I
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Algebra I SOL Resources Click on the SOL number to view the resources
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A.1 The student will solve multi-step 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. 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. 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.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.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 rantge of relation and identify the relations that are a function. 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. 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. 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. 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. 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. 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 tool for factoring and for confirming an algebraic factorization. A.13 The student will express the square root of a whole number in simpliest radical form and approximate square roots to the nearest tenth. 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. 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. 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. A.18 The student will analyze a relation to determine whether a direct variation exists and represent it algebraically and graphically, if possible. |
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Objective: |
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. |
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Text Resources: |
3.1-3.6, 4.1, 4.2, 4.4, 7.1-7.4 |
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Related Web Sites: |
http://curry.edschool.virginia.edu/k12/algebra/ http://www.visual-math.com/unsolve.htm |
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Suggested Manipulatives: |
- Algebra Lab Gear - Hands on Equations (manipulative kit) |
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Technology Resources: |
- Graphing Calculators - Computer Software Alg. I (1st & 2nd Semester Britannica Software) - MECC-Equation Math |
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Other Resources: |
- Algebra With Pizzazz - Book A - Merrill Alg. I Chapter 3 & 5 (Teacher Resource Materials) - Amusement in Developing Algebra Skills Vol. 1, pg. 31-33 (Midwest Publications) - Creative Publications "Algebra" **excellent resource for all objectives** |
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Assessment Suggestions: |
- Merrill, Alg. I Chap. 3 & 5 (Test and Evaluation Resource Materials) - Computer Software (see technology resources) *- Open-ended questions *- Classroom observations *- Self-evaluation *- Journals *- Questioning *may be used at anytime for assessment strategies |
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Suggestions for Integration: |
- Aviation - Finance - Geometry - Pg. 93 Merrill Alg. I TE |
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Objective: |
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. |
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Text Resources: |
1.1, 1.5, 2.9 |
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Related Web Sites: |
http://curry.edschool.virginia.edu/k12/algebra/ http://www-sci.lib.uci.edu/HSG/RefCalculators.html |
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Suggested Manipulatives: |
- Algebra Lab Gear - Color Counters - Beaker of water with food coloring (show mixture solutions) |
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Technology Resources: |
- Graphing Calculators - Computer software - Britannica Algebra I (1st & 2nd semester) |
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Other Resources: |
- Math Pizzazz (Books A & B) |
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Assessment Suggestions: |
- Merrill Alg. I Evaluation Resource Materials |
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Suggestions for Integration: |
- Biology - Chemistry - Travel - Merrill Alg. I TE: pg. 7, 49, 93 & 133 |
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Objective: |
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. |
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Text Resources: |
1.3, 1.6-1-8, 2.1, 2.3-2.7, 3.1-3.4, 7.1, 12.1-12.3, 12.5-12.8 |
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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 |
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Suggested Manipulatives: |
- Algebra Lab Gear - Hands on Equations (manipulative kit) - Balance - Color Counters |
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Technology Resources: |
- Graphing Calculator - Computer Software Britannica Alg. I (1st & 2nd semester) |
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Other Resources: |
- Integer Bingo with playing cards - Algebra with Pizzazz (Book A) - Middle School with Pizzazz (Book E) - Amusement in Developing Algebra Skills Vol. 1, pg. 6-9 (Midwest Publications) - Algebra (Creative Publications) |
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Assessment Suggestions: |
- Oral assessment - Merrill Alg. I Evaluation Masters |
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Suggestions for Integration: |
- see Merrill Alg. I TE. pg. 49 |
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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. |
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Text Resources: |
2-3 |
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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 |
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Suggested Manipulatives: |
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Technology Resources: |
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Other Resources: |
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Assessment Suggestions: |
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Suggestions for Integration: |
. |
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Objective: |
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 rantge of relation and identify the relations that are a function. |
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Text Resources: |
1.2, 1.9, 5.1-5.6 |
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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 |
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Suggested Manipulatives: |
- Grid Paper - Geoboards |
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Technology Resources: |
- Graphing Calculators - Computer Software Britannica Alg. I (2nd semester) |
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Other Resources: |
- Algebra with Pizzazz (Book D) - Function Rule Game pg. 386 Merrill TE - NCTM Addenda Series "Patterns & Functions" - (chapter 5) |
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Assessment Suggestions: |
- Merrill Alg. I Evaluation Masters |
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Suggestions for Integration: |
- Merrill Alg. I pg. 353 |
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Objective: |
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. |
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Text Resources: |
5.1, 6.5 |
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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 |
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Suggested Manipulatives: |
- Grid paper |
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Technology Resources: |
- Graphing Calculators - Computer Software Britannica Alg. I (2nd semester) - Computer Software by Sunburst "Green Globs & Graphing Equations" |
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Other Resources: |
- Algebra with Pizzazz (Books C & D) |
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Assessment Suggestions: |
- Calculator Activities - Student work on overhead transparencies. - Merrill Alg. I Evaluation Masters |
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Suggestions for Integration: |
- Merrill Alg. i TE. pg. 399 |
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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. |
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Text Resources: |
6.1, 6.3, 6.4, 6.6 |
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Related Web Sites: |
http://curry.edschool.virginia.edu/k12/algebra/ http://www.kn.pacbell.com/wired/bluewebn/fr_Mathematics.html |
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Suggested Manipulatives: |
- Line spinner grid overlay for transparency (find slope of line on grid) - Grid paper |
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Technology Resources: |
- Graphing Calculators - Computer Software Britannica Alg. I (1st & 2nd semester) - Computer Software by Sunburst "Green Globs & Graphing Equations" |
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Other Resources: |
- Algebra with Pizzazz (Books C &D) |
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Assessment Suggestions: |
- Merrill Alg. I Evaluation Masters - Student work on transparencies |
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Suggestions for Integration: |
- Merrill Alg. I TE pg. 399 |
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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. |
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Text Resources: |
6.2-6.4, 6.6 |
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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 |
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Suggested Manipulatives: |
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Technology Resources: |
- Graphing Calculators - Computer Software Britannica Alg. I (2nd semester) - Computer Software by Sunburst "Green Globs & Graphing Equations |
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Other Resources: |
- Algebra with Pizzazz (Books C & D) |
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Assessment Suggestions: |
- Merrill Alg. I Evaluation Masters - Building equations from illustrated lines |
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Suggestions for Integration: |
- Merrill Alg. I TE pg. 399 |
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Objective: |
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. |
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Text Resources: |
8.1-8.4 |
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Related Web Sites: |
http://curry.edschool.virginia.edu/k12/algebra/ http://tqd.advanced.org/2647/algebra/funcbasc.htm http://www.bremenbraves.com/algebra/index.html |
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Suggested Manipulatives: |
- Alg. Lab Gear - Construction paper (see pg. 454 Merrill text) |
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Technology Resources: |
- Graphing Calculators - Computer Software Britannica Alg. I (2nd semester) |
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Other Resources: |
- Algebra with Pizzazz (Book D) - Amusements in Developing Alg. Skill (Vol. 1, pg. 36-38) - Creative Publications "Algebra" pg. 376-379 |
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Assessment Suggestions: |
- Merrill Alg I Teachers Evaluation Masters - also see objective A-6 |
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Suggestions for Integration: |
- Merrill Alg. I TE pg. 439 |
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Objective: |
A.10 The student will apply the laws of exponents to perform operations on expressions with integral exponents, using scientific notation when appropriate. |
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Text Resources: |
9.1-9.3 |
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Related Web Sites: |
http://curry.edschool.virginia.edu/k12/algebra/ http://library.advanced.org/13757/grade/9/expon.htm |
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Suggested Manipulatives: |
- Alg. Lab Gear |
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Technology Resources: |
- Graphing Calculators - Computer Software Britannica Alg. I (1st semester) |
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Other Resources: |
- Algebra with Pizzazz (Book B) - Amusements in Developing Alg. Skills Vol. 1, pg.13-19 - Creative Publications "Algebra" pg. 313-319 - NCTM Addenda Series "Patterns & Functions" has ideas for exponent explorations |
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Assessment Suggestions: |
- Merrill Alg. I Teacher Resource Evaluation Masters - Exponent Activity (using letters/cards at desk to represent solutions to given problems) |
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Suggestions for Integration: |
- Merrill Alg. I TE pg. 209 |
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Objective: |
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. |
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Text Resources: |
9.4-9.8, 12.4 |
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Related Web Sites: |
http://curry.edschool.virginia.edu/k12/algebra/ http://library.advanced.org/13757/grade/9/poly.htm |
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Suggested Manipulatives: |
- Algebra Lab Gear |
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Technology Resources: |
- Graphing Calculators - Computer Software Britannica Alg. I (1st semester) |
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Other Resources: |
- Algebra with Pizzazz (Book B) - Amusement in Developing Alg. Skills Vol. 1, pg. 20-30 - Creative Publications "Algebra" - Algebra Lab Gear Manual - Creative Publications |
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Assessment Suggestions: |
- Merrill Alg. I Evaluation Masters - Algebra Lab Gear |
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Suggestions for Integration: |
- Merrill Alg. I TE pg. 209 |
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Objective: |
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 tool for factoring and for confirming an algebraic factorization. |
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Text Resources: |
10.1-10.5 |
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Related Web Sites: |
http://curry.edschool.virginia.edu/k12/algebra/ http://www.scienceacademy.com/BI/ |
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Suggested Manipulatives: |
- Algebra Lab Gear |
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Technology Resources: |
- Graphing Calculators - Computer Software Britannica Alg. I (2nd semester) |
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Other Resources: |
- Factor Flow Chart (Poster for factoring) - Algebra with Pizzazz (Book B) - Amusement in Developing Alg. Skills Vol.1, pg. 42-44 |
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Assessment Suggestions: |
- Algebraic Jeopardy Merrill Alg. I TE pg. 287 - Merrill Alg. I Evaluation Masters |
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Suggestions for Integration: |
- Merrill Alg. I TE pg. 255 |
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Objective: |
A.13 The student will express the square root of a whole number in simpliest radical form and approximate square roots to the nearest tenth. |
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Text Resources: |
2.8, 11.3, 13.1-13.3 |
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Related Web Sites: |
http://curry.edschool.virginia.edu/k12/algebra/ http://www.idbsu.edu/people/jbrennan/algebra/Algrebra_notes.html |
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Suggested Manipulatives: |
- Grid paper - Dot Paper - Geoboards |
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Technology Resources: |
- Calculators |
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Other Resources: |
- Algebra with Pizzazz (Book D) - Alg. I Structure & Method, pg. 515-516 (Houghton & Mifflin) - Using Algebra (Laidlaw) 1981, 3rd ed., pg. 183-184 - Creative Publications "Algebra" pg. 334-336 |
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Assessment Suggestions: |
- Merrill Alg. I Evaluation Masters |
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Suggestions for Integration: |
- Merrill Alg. I TE pg. 473 |
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Objective: |
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. |
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Text Resources: |
10.6-11.3 |
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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 http://www.kn.pacbell.com/wired/bluewebn/fr_Mathematics.html |
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Suggested Manipulatives: |
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Technology Resources: |
- Graphing Calculators - Merrill Alg. 1 TE pg. 516 (technology project) |
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Other Resources: |
- Algebra with Pizzazz (Book D) - Amusements in Developing Alg. Skills Vol. 1, pg. 39-41 - Creative Publications "Algebra" pg. 476-478, 497-498, 500-503 |
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Assessment Suggestions: |
- Merril Teacher Evaluation Masters - Graphing Calculator Activity (text pg. 516c) |
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Suggestions for Integration: |
Merrill Alg. I TE pg. 517 |
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Objective: |
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. |
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Text Resources: |
1.5, 5.3, 5.5, 7.3, 10.6, 11.2, 11.3 |
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Related Web Sites: |
http://curry.edschool.virginia.edu/k12/algebra/ http://www-sci.lib.uci.edu/HSG/RefCalculators.html |
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Suggested Manipulatives: |
- Grid paper - Function Machine pg. 67 NCTM Addenda Series "Patterns & Functions" |
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Technology Resources: |
- Graphing Calculators - Computer Software Britannica Software Alg. I (2nd semester) |
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Other Resources: |
- Algebra with Pizzazz (Book C) pg. 39-41 - Creative Publications "Algebra" |
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Assessment Suggestions: |
- Merrill Alg. I Teacher Resource Evaluation Masters |
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Suggestions for Integration: |
- Merrill Alg. I TE pg. 399, 353 |
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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. |
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Text Resources: |
6.3 |
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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 |
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Suggested Manipulatives: |
- Grid Paper |
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Technology Resources: |
- Graphing Calculators |
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Other Resources: |
- NCTM Addenda Series "Dealing with Data & Change" (chapter 5) - Creative Publications "Algebra" pg. 429-431 - Exploring Data (Dale Seymour Publications) |
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Assessment Suggestions: |
- Data Project |
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Suggestions for Integration: |
- Science - Social Studies |
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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. |
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Text Resources: |
1.4, 2.2, 3.7, 5.7, 7.7 |
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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 |
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Suggested Manipulatives: |
- Grid Paper |
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Technology Resources: |
- Graphing Calculators |
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Other Resources: |
- Middle School with Pizzazz (Book E) - NCTM Addenda Series "Dealing with Data and Change" |
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Assessment Suggestions: |
- Merrill Alg. I Teacher Resource Evaluation Masters - Statisical data project |
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Suggestions for Integration: |
- Merrill Alg. I TE pg. 559 |
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Objective: |
A.18 The student will analyze a relation to determine whether a direct variation exists and represent it algebraically and graphically, if possible. |
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Text Resources: |
4.8 |
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Related Web Sites: |
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Suggested Manipulatives: |
- Spoons, beakers - pg. 162 TE Merrill Alg. I - Grid Paper |
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Technology Resources: |
- Graphing Calculators |
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Other Resources: |
- Algebra with Pizzazz (Book D) pg. 13-19 - Creative Publications "Algebra" pg. 138, 146-147, 438 |
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Assessment Suggestions: |
- Merrill Alg. I Teacher Resource Evaluation Masters |
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Suggestions for Integration: |
- Merrill Alg. I TE pg. 133 |
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