Algebra 1 Curriculum

Algebra 1 Curriculum
Algebra Essentials
Algebra 1
Honors Algebra 1

This curriculum plan was developed by a Summer Math Committee in the Summer of 2006. All four Rockford high schools had representatives present as well as Polly Perkins (District 205 Curriculum Director), Marcia Strothoff (District 205 High School Math Coordinator), and Nanci Smith (Curriculum Consultant) who contributed to its content . This plan is expected to be implemented in the Fall of 2006 with essentially the same topics and timetable used in ALL THREE levels of algebra 1. Formatting for html and website links were added later as a convenient reference for both teachers and students.

If you do not have MS Powerpoint installed on your computer, download PowerPoint Viewer here.

Quarter 1

Unit 1: Review Unit (estimated 10-12 days)

Textbook Section	Algebra Topic	Supplemental Materials	Website Links
FULL BOOK		This website had a GREAT graphing calculator that can be used for demos with a full-size screen. (Scroll down to the bottom in Appendix A) http://www.mathopenref.com/ *** Other parts of this are great for geometry too.	Problem Solving: (All topics - all year) http://www.thefutureschannel.com/algebra_real_world.php This is a GREAT resource for online videos in the classroom and student worksheets with teacher keys and materials all "ready-made" for algebra. ================================================== www.AlgebraNotes.com This website is a COMPLETE PowerPoint lesson for each section of our textbook. It is an excellent resource for teachers as well as students who are absent from class. Simply choose the topic, then click on first mini-slide and use the arrows to advance. Remedial or extra practice: http://www.pre-algebranotes.com/ Pre-Algebra slide show broken down by topics will be very helpful in Algebra also. ========================================= www.classzone.com This is the publisher's website that goes along with our textbook. It has a wide variety of activities to go with each lesson and therefore can be used with any topic we cover. Included are extra examples, crossword puzzles, flipcards, applications, and career explorations. http://www.onlinemathlearning.com/algebra-help.html
1.1	Evaluate Variable Expressions	Menu Math, Groundworks Series, Sequence game, geometric application activity	http://www.themathpage.com/alg/algebraic-expressions.htm
1.3	Order of Operations	Race game, Number tile worksheets, Sequence game, Contig, Tile trial(s)	www.aplusmath.com step-by-step video explanations and online worksheets http://faculty.lagcc.cuny.edu/gmccormack/problems/OrderOfOperations/Shell1.htm
1.5	Translating Words	Translating matching game,	http://www.purplemath.com/modules/translat.htm http://www.onlinemathlearning.com/words-to-equations.html
2.2, 2.3, 2.5	Integers (properties & absolute value)	Pyramid Math, Use two-sided counters, Pond and Noll game, Football, Math War, Lima Beans Activity, Integer Product game, Basket Weaving, Postman Worksheet	www.aplusmath.com step-by-step video explanations and online worksheets http://amby.com/educate/math/integ_x1.html http://www.quia.com/fc/22424.html http://www.themathpage.com/alg/signed-numbers.htm http://www.themathpage.com/alg/add-subtract-signed-numbers.htm http://www.themathpage.com/alg/multiply-divide-signed-numbers.htm PowerPoint Lesson
3.8	Rates/Ratios	Real life application, Fraction review	http://faculty.lagcc.cuny.edu/gmccormack/EDUCO_pdfs/EDUCO2.6.pdf ====================================== Algebra1: http://www.exploremath.com/textbook/index.cfm?fuseaction=tocChapter&cbid =265&ts=060807070420&buid=625 Concepts and Skills Book: http://www.exploremath.com/textbook/index.cfm?fuseaction=tocChapter&cbid =264&ts=060807071656&buid=587 =======================================

Unit 2: Exponents/Distributive Property/Combining Like Terms (estimated 10-12 days)

Textbook Section	Algebra Topic	Supplemental Materials	Website Links
1.2	Exponent review	Build-A-Square	These are general tutorials on exponents. http://www.edhelper.com/exponents.htm http://www.wtamu.edu/academic/anns/mps/math/mathlab/beg_algebra/beg_alg_tut26_exp.htm http://www.purplemath.com/modules/exponent.htm http://www.jtaylor1142001.net/calcjat/Courses/Ma99/TestScripts/7Exponents/ExpPosMultDemo/example1.html http://regentsprep.org/Regents/Math/exp/LExp.htm http://www.themathpage.com/alg/exponents.htm http://www.coolmath.com/algebra/Algebra1/01Polynomials/10_polynomials-exponent-rules-all.htm http://faculty.lagcc.cuny.edu/gmccormack/problems/IntegerExponents/shell-2.htm http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=305 http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=exp
8.1	Multiplication Properties of Exponents	Build-A-Square	http://www.coolmath.com/algebra/Algebra1/01Polynomials/06_polynomials-exponent-rules-1.htm http://www.coolmath.com/algebra/Algebra1/01Polynomials/08_polynomials-exponent-rules-3.htm
8.3	Division Properties of Exponents	Build-A-Square	http://www.coolmath.com/algebra/Algebra1/01Polynomials/07_polynomials-exponent-rules-2.htm
8.2	Zero Exponent	Build-A-Square	http://www.homeschoolmath.net/teaching/negative_zero_exponents.php http://www2.scc-fl.edu/rrapalje/BasicAlgebra/Samples%20from%20Basic%20One%20Step%20Ch%202/2.13%20Zero%20and%20Negative%20Exponents.htm
8.2	Negative Exponents	Build-A-Square	http://www.purplemath.com/modules/exponent2.htm http://faculty.stcc.edu/zee/newpage91.htm http://www.themathpage.com/alg/negative-exponents-2.htm http://www.coolmath.com/algebra/Algebra1/01Polynomials/09_polynomials-exponent-rules-4.htm http://dl.clackamas.cc.or.us/ch104-02/exponents.htm
8.4	Scientific Notation		http://members.aol.com/profchm/sci_not.html http://www.hostsrv.com/webmab/app1/MSP/quickmath/02/pageGenerate?site=quickmath&s1=numbers&s2=scientific_notation&s3=basic
2.6	Distributive Property	Algebra Tiles, Menu Math
	Combining Like Terms	Algebra Tiles, Menu Math	http://www.themathpage.com/alg/like-terms.htm

Unit 3: Solving Equations & Inequalities (estimated 18-20 days)

Textbook Section	Algebra Topic	Supplemental Materials	Website Links
3.1, 3.2	One-step Equations include applications & literal equations	Build application problems. Integrate decimal and fractional equations. Algebra tiles Pattern blocks for literal equations Equation puzzle	The entire student book is online for chapter 3. Use the link below: Algebra 1: http://www.exploremath.com/textbook/index.cfm?fuseaction=tocChapter&cbid =265&ts=060807070420&buid=625 Concepts and Skills Book: http://www.exploremath.com/textbook/index.cfm?fuseaction=tocChapter&cbid =264&ts=060807071656&buid=587 ======================================= http://www.fi.uu.nl/toepassingen/02017/toepassing_wisweb.en.html http://nlvm.usu.edu/en/nav/frames_asid_201_g_4_t_2.html?open=instructions http://nlvm.usu.edu/en/nav/frames_asid_324_g_4_t_2.html?open=instructions http://go.hrw.com/math/midma/gradecontent/manipulatives/Algebra_Tiles/Algebra_Tiles.html http://www.themathpage.com/alg/equations.htm http://www.themathpage.com/alg/inequalities.htm http://www.themathpage.com/alg/word-problems.htm http://www.coolschooltools.com/wm/teachermovies/trf/intmath1/algebra/2-step/index.html http://faculty.lagcc.cuny.edu/gmccormack/problems/LinearEquations/Shell-2.htm http://www.explorelearning.com/index.cfm?method=cResource.dspResourcesForCourse&CourseID=241 http://www.explorelearning.com/index.cfm?method=cResource.dspResourcesForCourse&CourseID=243
6.1	One-step Inequalities with graphing
3.3	Two-step Equations include applications & literal equations
6.2	Two-step Inequalities with graphing
3.3	Multi-step Equations include applications & literal equations
6.3	Multi-step/Compound Inequalities with graphing
3.4	Variables on both sides include applications
11.2	Percent Equations

Quarter 2

Unit 4: Linear Functions (estimated 22 days)

This unit combines Chapters 4 & 5. There will be training on Nanci Smith’s unit lesson as outlined below before Quarter 2 begins.
If possible, attend the training or teach Chapters 4 & 5 as see fit.

Textbook Section	Algebra Topic	Supplemental Materials	Website Links
	Different types of change – difference between constant and variable change, dependant and independent variables using scatter plots	See Nanci’s lesson’	http://www.explorelearning.com/index.cfm?method=cResource.dspResourcesForCourse&CourseID=242
	Relating ‘rate of change’ to graphs & tables
4.4	Slope Discovery		http://www.themathpage.com/alg/slope-of-a-line.htm http://faculty.lagcc.cuny.edu/gmccormack/problems/SlopeOfALine/Shell-1.htm
4.2, 4.3, 4.6	Graphing lines
5.1, 5.2, 5.3	Writing lines		http://www.themathpage.com/alg/equation-of-a-line.htm http://faculty.lagcc.cuny.edu/gmccormack/problems/EquationsOfLines/Shell-1a.htm
5.4, 5.7	Applications of lines		http://www.learner.org/resources/series82.html# Computer graphics/algebra - scroll down to video #25 and click on "VoD"

Unit 5: Linear Systems (estimated 10-12 days)

Textbook Section	Algebra Topic	Supplemental Materials	Website Links
	Intro to systems	Sales Activity	http://www.themathpage.com/alg/simultaneous-equations.htm http://faculty.lagcc.cuny.edu/gmccormack/problems/SystemsOfEquations/Shell-1.htm http://www.explorelearning.com/index.cfm?method=cResource.dspResourcesForCourse&CourseID=244
7.1	Solve by Graphing		http://www.polaris.nova.edu/MST/online/math1030/unit5/u5s1.html http://www.analyzemath.com/systems/systems.htm
7.2	Solve by Substitution		http://www.algebralab.org/studyaids/studyaid.aspx?file=Algebra1_7-2.xml http://www.polaris.nova.edu/MST/online/math1030/unit5/u5s2.html
7.3	Solve by Elimination		http://www.polaris.nova.edu/MST/online/math1030/unit5/u5s3.html http://www.analyzemath.com/Tutorial-System-Equations/Tutorial-System-Equations.html
7.4	Story Problems		http://www.themathpage.com/alg/word-problems3.htm
7.6	Linear Inequalities

Quarter 3

Unit 6: Polynomial Expressions (estimated 7 days)

Textbook Section	Algebra Topic	Supplemental Materials	Website Links
	Polynomial Vocabulary
10.1	Add & Subtract Polynomials		http://www.explorelearning.com/index.cfm?method=cResource.dspResourcesForCourse&CourseID=250
10.2	Multiply Polynomials		http://www.themathpage.com/alg/distributive-rule.htm http://www.coolmath.com/algebra/Algebra1/01Polynomials/11_polynomials-multiplication-1.htm http://www.coolmath.com/algebra/Algebra1/01Polynomials/12_polynomials-FOIL.htm http://www.coolmath.com/algebra/Algebra1/01Polynomials/13_polynomials-multiplication-3.htm

Unit 7: Non-quadratic Radical Expressions & Equations (estimated 7 days)

Textbook Section	Algebra Topic	Supplemental Materials	Website Links
9.2	Simplify Radicals		http://www.themathpage.com/alg/simplify-radicals.htm
12.2	Operations with Radicals		http://www.themathpage.com/alg/multiply-radicals.htm
12.3	Solve Non-quadratic Radical Equations

Unit 8: Solving Quadratic Equations (estimated 32 days)

Textbook Section	Algebra Topic	Supplemental Materials	Website Links
9.1	Solve Algebraically	Teacher discretion on order of methods.	http://www.themathpage.com/alg/quadratic-equations.htm http://faculty.lagcc.cuny.edu/gmccormack/problems/ApplicationOfTheQuadraticEquation/shell-1.htm http://www.explorelearning.com/index.cfm?method=cResource.dspResourcesForCourse&CourseID=245
9.3, 9.4	Solve Graphically
9.5	Solve by Quadratic Formula	Programming TI Calculators Worksheet
10.5, 10.6, 10.7	Solve by Factoring		1. PowerPoint - 10.5 and PowerPoint - 10.6. PowerPoint on Factoring (Mr. Kim - Troy High School - Fullerton, CA) - GREAT method to factor "trinomials where a term is not = to zero") 2 .PowerPoint Factoring with Sound (From Mrs. Jainchill of Jericho (New York) High School http://www.themathpage.com/alg/factoring-trinomials.htm http://www.themathpage.com/alg/perfect-square-trinomial.htm http://www.themathpage.com/alg/difference-two-squares.htm http://www.coolschooltools.com/wm/teachermovies/trf/intmath1/FactoringTest/index.html http://www.coolschooltools.com/wm/teachermovies/trf/intmath1/Factoring/index.html http://faculty.lagcc.cuny.edu/gmccormack/problems/FactoringTrinomials/shell-1.htm http://www.hostsrv.com/webmab/app1/MSP/quickmath/02/pageGenerate?site=quickmath&s1=algebra&s2=factor&s3=basic

Quarter 4

Unit 9: Rational Expressions & Equations/Absolute Value Equations (estimated 7-10 days)

Textbook Section	Algebra Topic	Supplemental Materials	Website Links
11.4	Simplify Rational Expressions
11.5, 11.6	Operations on Rational Expressions (minimum: multiply, divide, add, & subtract with common denominators)		http://www.themathpage.com/alg/multiply-algebraic-fractions.htm http://www.themathpage.com/alg/add-algebraic-fractions.htm
11.8	Solve Rational Equations		http://www.themathpage.com/alg/equations-fractions.htm http://faculty.lagcc.cuny.edu/gmccormack/problems/RadicalEquations/Shell-1.htm

Unit 10: Absolute Value Equations/ Quadratic Radical Equations/ Probability (estimated 15 days)

Textbook Section	Algebra Topic	Supplemental Materials	Website Links
6.4	Solve Absolute Value Equations (Inequalities optional)		http://www.themathpage.com/alg/absolute-value.htm http://www.explorelearning.com/index.cfm?method=cResource.dspResourcesForCourse&CourseID=246
12.3	Solve Quadratic Radical Equations		http://www.explorelearning.com/index.cfm?method=cResource.dspResourcesForCourse&CourseID=247
2.8,	Probability	Foundations for Algebra Pg. 145+

PROJECTS

I. Career Poster

II. Create a TEST [PDF]
       Download grid:
        jpg file
        gif file
Click on the file- then when you view it - right click on your mouse and choose "Save Picture As"

III. Technology Week - TI Calculators

IV. Using Technology

Project Guidelines

1. Cost of Pizza - Linear Systems

2. Choosing a Cell Phone

3. Line of Best Fit / Equation

4. Performance / Video Production

Algebra Essentials Mastery Packet Information (Special thanks to Cathy Morrow - Jefferson High School)