Succeeding with the common core standards(CCSS): BEYOND ALGEBRA
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SUCCEEDING WITH THE COMMON CORE
STANDARDS(CCSS): BEYOND ALGEBRA
PRESENTED SUMMER 2011BY JUDITH T. BRENDEL, NJPSA/FEA
MATH SUPERVISOR, PASCACK VALLEY REGIONAL HS
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BE PRO-ACTIVEPREPARE FOR THE CHANGE
• Timeline: implementation & assessment• What’s different?• Transition Phase - Today’s Reality:• LAST YEAR vs CCSS expectations• Mathematical Practices• Plan: Curriculum, Pacing, Assessments• Align to texts• OE Questions, Projects, Resources
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TIMELINE Curriculum Assessments
2011-12 K-2 New2012-13 3-5, HS New NJASK, HSPA*2013-14 6-8 New NJASK, HSPA*2014- NEW*
from Algebra EOC test to quarterly benchmarks for all students
* HSPA database but Only CCSS questions
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Measure standards that are rigorous, globally competitive, and consistent across the states.
New Jersey’s choiceThe assessment consortium PARCC (Partnership for Assessment of Readiness for College and Careers)
New assessments will replace current state NCLB tests (NJASK, HSPA) in 2014-2015.
WHAT’S NEW
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HS MATH IS DIVIDED INTO SIX CONCEPTUAL CATEGORIES• Number and Quantity• Algebra• Functions• Modeling• Geometry• Statistics and Probability
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FORMAT: COMMON CORE - HSCONCEPTUAL CATEGORY
• DOMAIN• CLUSTER
• Standards
+ STEM
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CONCEPTUAL CATEGORY: FUNCTIONS (THINK, WHICH COURSE?)
DOMAIN: F-TF Trigonometric Functions (p.71)Cluster: Extend the domain of trigonometric functions using the unit circleStandards:1. Understand the radian measure of an angle as the
length of the arc on the unit circle subtended by the angle.
2. Explain how the unit circle …
3. (+) STEM: Use the special triangles to determine geometrically the values of sine, cosine, …
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DOMAIN:INTERPRETING FUNCTIONS F-IFCLUSTER: Understand the concept of functions and use function notation.(p.69)
•Standards (F-IF.1, F-IF.2, F-IF.3)2. Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
CLUSTER: Interpret functions that arise in applications in terms of the context (F-IF.4-6)
CLUSTER: Analyze functions using different representations (F-IF.7a-9b)
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BUILDING FUNCTIONS• Build a function that models a
relationship between two quantities• Build new functions from existing
functions
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LINEAR, QUADRATIC, EXPONENTIAL MODELS• Construct and compare linear,
quadratic and exponential models and solve problems.
• Interpret expressions for functions in terms of the situation they model.
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TRIGONOMETRIC FUNCTIONS• Extend the domain of trigonometric
functions using the unit circle• Model periodic phenomena with
trigonometric functions• Prove and apply trigonometric
identities
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WHICH COURSE?QUADRATIC EQUATIONS in one variable
completing the square
x2 + 6x -9 = x2 + 6x + (3)2 -9 –(3)2
DOMAIN: Seeing Structure in Expressions A-SSE CLUSTER: Write expressions in equivalent forms to solve problems (p.64) Standards: 3b. Complete the square in a quadratic expression to reveal the maximum and minimum value of functions it defines. (X + 3)2 – 9
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REVIEW ALGEBRA-I CCSS√ CCSS standards experienced last year standards that need to be added to Geometry or Algebra-II (or Basic Geometry or Intermediate Algebra)
Basic Level Regular Level Honors Level
Basic Algebra gr.9
Algebra gr.9
Algebra gr.8
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DISCUSS
Algebra-II collab
Algebra collab
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REVIEW HS. CCSS STANDARDS√ CCSS standards for ALL in appropriate course(+) CCCS include as possible
Basic Level Regular Level
Honors LevelHon.Geom
Gr.9
Basic Geom. gr.10
Geometry Gr.10
Hon. Alg.IIGr. 10
Int.AlgebraGr.11
Algebra IIGr.11
Hon. PreCalcGr. 11
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DISCUSS
ALGEBRA - II
Geometry
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REVIEW HS. CCSS STANDARDS√ CCSS standards for ALL in appropriate course(+) CCCS include as possible
Basic Level Regular Level
Honors LevelHon.Geom
Gr.9
Basic Geom. gr.10
Geometry Gr.10
Hon. Alg.IIGr. 10
Int.AlgebraGr.11
Algebra IIGr.11
Hon. PreCalcGr. 11
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SMALL GROUP ACTIVITY
CUT THE CAKE or
FIND THE PERIMETER(Algebra Tiles: black=“x” yellow = “1”)
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1. Make sense of problems and persevere in solving them.2. Reason abstractly and quantitatively.3. Construct viable arguments and critique the reasoning of others.4. Model with mathematics.5. Use appropriate tools strategically.6. Attend to precision7. Look for and make use of structure.8. Look for and express regularity in repeated reasoning.
MATHEMATICAL PRACTICES
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REASONING AND SENSE MAKING
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REASONING AND SENSE MAKING
1. INTERMEDIATE ALGEBRA: Horseshoe in Flight - p.25
2. GEOMETRY: Bank Shot - p.273. PROBABILITY AND STATISTICS:
Two Hospitals - p.22
http://www.nctm.org
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HORSESHOES IN FLIGHT INTERMEDIATE ALGEBRA P.26As shown in the graph, the height of a thrown horseshoe depends on the time that has elapsed since its release. (Note that this graph of the horseshoe’s height is parabolic, but it is not the same as the graph of the horseshoe’sflight path.)
1 3/16 + 18t – 16t2
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1 3/16 + 18T – 16T2
THE QUESTION CHANGES!!!!
1. Which expression is the most useful for finding the maximum height of the horseshoe, and why is it the most useful expression?a) 1 3/16 + 18t – 16t2 c) 1/6(19-16t)(16t+1)
b) -16(t-19/16)(t+1/16) d) -16(t-9/16)2 + 100/16
2. What information can you conclude about the horseshoe’s flight from other equivalent expressions? Explain your answers.
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BANK SHOT – GEOMETRY P.27Carom billiards refers to a collection of games typically played on a 5-by-10 foot “pocketless” table. In this game, a player scores points by striking a cue ball with a cue stick so that the cue ball hits each of two additional cue balls … before the cue ball comes to rest.
(continued on handout)
Answer questions 1, 2 and 3.
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TWO HOSPITALS – PROBABILITY AND STATISTICS PAGE-22
Two hospitals keep track of the gender of the babies born each day. Hospital A is a large urban medical center. Hospital B is a small regional facility. Many more babies are born each day in the Hospital A than in Hospital B. Assume that for each birth, the probability that the baby is male is 0.5 and the probability that the baby is female is 0.5.
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NEW EXPECTATIONS: MODELINGHere’s an extra problem to solve:Plan a table tennis tournament for 7 players at a club with 4 tables, where each player plays against each other player.Share your plan! Defend your plan! Critique others’ plans!
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SHARE MEANINGFUL PROJECTSALGEBRAS:• Restaurant (Valley)• Cell Phone (Valley: Doherty)• Probability & Genetics (Valley: Doherty)
GEOMETRY: (see following slides)ALGEBRA-II: (see following slides)FST: – Chernobyl (Hills: Garruto)SENIOR MATH: – Credit Cards (Hills: Curatola)
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PACING (QUARTERLY BENCHMARKS)Where would you include one of these NCTM Open-Ended Questions?
Where would you include one of these Projects?
What would you include on quarterly assessments?
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SHARING RESOURCESINTERMEDIATE ALGEBRA RR (a special-education resource room math class): Word-Problem Wikki (Go to Ms. Curatola's Website http://www.pascack.k12.nj.us/Page/610 and click on [Calendar] and see Nov. 11, 2010 lesson) and then see the students' Wikki site for examples of their work http://intalgwordproblems2010.wikispaces.com/.
SENIOR MATH Project (a special-education resource room math class): http://www.pascack.k12.nj.us/Page/635
-Regression Project and Wikki See assignment (Dec. 6, 2010) and student projects (Dec. 8, 2010).
-Money Budget Project: December 10, 2010
-Credit Card Project (Dec. 13, 2010) The project continues w/additional links on Dec. 14-16; on Dec. 17 you can see a follow-up project dealing with Real World Problems about compound interest including links to notes.
Websites recommended: from Algebra to Calculus
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GEOMETRY RESOURCESREPLACEMENT BASIC-GEOMETRYPerimeter Worksheet (with numbers) 9/10/10 jb Answer Key (Perimeter Numbers Worksheet) 9/10/10 jbPerimeter Worksheet (with variables) 9/10/10 jbArea Worksheet (with numbers) 9/10/10 jb
BASIC GEOMETRY:Marking Period-1 project Find real-life pictures; create multi-media presentation (De Simone 10_15_08)Marking Period-1 Webquest Polygon Webquest (Oct. 30, 08 De Simone)
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Marking Period-1 project (Logical Reasoning: M. Doherty 10_15_08)
HONORS GEOMETRY: Marking Period-1 project Project fall 2008
Transformations: "Recreation Committee." Resources:Task and RubricFacilitation QuestionsScaffoldActivity ListWeb Sites
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IDE Portal Resouces Shadow Games1478 KB Word version Students collaborate to create a scaled model of school grounds using traditional and indirect measurement. They study ancient geometric methods developed by Euclid and Eratosthenes to help with measurement of irregular objects, such as trees.
Build a School-90 KB PDF version Students use area and perimeter to create a model of a new school. Then, they use map skills to show the location of the school.
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BASIC GEOMETRY (Glencoe Geometry text 2005) Chapter-1 resources from G. De Simone 10_08: -PowerPoints: Points, Lines, & Planes, Key Words in Geometry, Segments & Rays, Angles Pairs of Angles -Glencoe Online Quiz, Glencoe Online Test-Quia Quiz - Angles-Quia Activities - Chapter 1 Vocabulary, Exploring Lines & Angles, Distances & Midpoints-Quia Quiz - Using the Distance Formula-Classzone - Chapter 1 Animations Quadrilaterals: "Can-Do Packaging Project." Resources:Can Do Project Document
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Similarity: "The Golden Rectangle." Resources:Golden Rectangle Project Document Parallel Lines and Transversals: "Parallel Line Project." Resources:Parallel Line Project Document
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Intro to Geometry: BrainPop (geometry basics - L, P)http://www.brainpop.com/math/geometry/geometry/ Geometry Vocabulary: Math.com ( L, P)http://www.math.com/school/subject3/lessons/S3U1L1GL.html Coordinate Geometry: Math.com (points, lines, segments, rays - L, P, E) http://www.math.com/school/subject3/lessons/S3U1L2GL.html Pairs of Lines: Math.com (parallel, perpendicular, skew - L, P, E) http://www.math.com/school/subject3/lessons/S3U1L3GL.html
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Lines in Art: Sasinschool Web Inquiry #106 (perspective drawing - A) http://www.sasinschool.com/ProductEntrance/Launch/launch.jsp?unit=106 Investigating intersecting, parallel, and skew lines in a plane: Explorelearning.com (A) http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=224 Lines and Planes: Regentsprep.org (easy-to-understand summary with examples - L, P, E) http://www.regentsprep.org/Regents/math/geometry/GG1/indexGG1.htm Introducing Points, Segments, Rays, and Lines: Geometer's SketchPad (introduces Geo basics and instructions on how-to-use GSP - A) [see Discovering Geometry workbook] Points, Lines, Planes Lesson: McDougal-Littel Teacher Resources PowerPoint (powerpoint notes aligned to Geo textbook - L)1.2 Points, Lines, Planes PPT
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Constructing Congruent Segments and Angles: Explorelearning.com (A)http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=181 Segment Addition and Segment Bisectors: Emathlab.com (P)http://emathlab.com/Geometry/Lines_and_Angles/SegAddBisect.php
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DISTANCE AND MIDPOINT Distance in 1, 2 & 3 dimensions: Sasinschool.com Interactivity #13 (A)http://www.sasinschool.com/ProductEntrance/Launch/launch.jsp?unit=13 Midpoint of a Segment: Regentsprep.org (L, P)http://www.regentsprep.org/Regents/math/geometry/GCG2/indexGCG2.htm Distance of a Line Segment: Regentsprep.org (L, P)http://www.regentsprep.org/Regents/math/geometry/GCG3/indexGCG3.htm Distance & Midpoint: Emathlab.com (P)http://emathlab.com/Geometry/Lines_and_Angles/DistMidPtGraf.php
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Distance Formula: Explorelearning.com Activity A (A)http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=183 Distance Formula: Explorelearning.com Activity B (A)http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=64 Distance & Midpoint: Gomath.com (summary with interactive example, links to lesson, worksheet - L, P, E)http://www.gomath.com/exercises2/DistanceMidpoint.php
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Measuring Angles: BrainPop.com (L, P)http://www.brainpop.com/math/geometry/measuringangles/ Protractor: Keymath.com (interactive, how to use - A)http://www.keymath.com/x19371.xml Types of Angles: Keymath.com (A)http://www.keymath.com/x19372.xml Classifying Angles: Math.com (L, E, P)http://www.math.com/school/subject3/lessons/S3U1L4GL.html Angle Information: Regentsprep.org (L)http://www.regentsprep.org/Regents/math/geometry/GP5/LAngles.htm Angle Information: Regentsprep (P)http://www.regentsprep.org/Regents/math/geometry/GP5/PAngles.htm
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ANGLE PAIR RELATIONSHIPS Classifying Angles/Special Angle Pairs: Sasinschool.com Web Inquiry #105 (A)http://www.sasinschool.com/ProductEntrance/Launch/launch.jsp?unit=105 Angles and Intersecting Lines: Math.com (vertical, linear, adjacent, etc - L, E, P)http://www.math.com/school/subject3/lessons/S3U1L5GL.html Investigating Angle Theorems: Explorelearning.com - Activity A (complementary, supplementary, vertical, and adjacent - A) http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=282 Investigating Angle Theorems: Explorelearning.com - Activity B (complementary, supplementary, vertical, and adjacent - A) http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=185
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Complementary and Supplementary Angles: Emathlab.com (P)http://emathlab.com/Geometry/Lines_and_Angles/ComplSupplAngles.php Vertical Angles: Emathlab.com (P)http://emathlab.com/Geometry/Lines_and_Angles/VerticalAngles.php
Angle Pair Relationships: McDougal-Littel Teacher Resources PowerPoint (powerpoint notes aligned to Geo textbook - L)1.6 Angle Pair Relationships PPT
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Conditional statements: RegentsPrep.org: Logic (L, P )http://www.regentsprep.org/Regents/math/geometry/GP1/indexGP1.htm Conditional Statements: Explorelearning.com (A)http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=178 Related Conditionals: RegentsPrep.org: (L, P)http://www.regentsprep.org/Regents/math/geometry/GP2/indexGP2.htm Lewis Carroll Logic: Mathbits.com (Worksheet using Alice In Wonderland to practice writing conditionals, inverse, contrapositive, and converse – A)http://mathbits.com/MathBits/MathMovies/LogicLewisCarroll.pdf
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Conditional statements: RegentsPrep.org: Logic (L, P )http://www.regentsprep.org/Regents/math/geometry/GP1/indexGP1.htm Conditional Statements: Explorelearning.com (A)http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=178 Related Conditionals: RegentsPrep.org: (L, P)http://www.regentsprep.org/Regents/math/geometry/GP2/indexGP2.htm Lewis Carroll Logic: Mathbits.com (Worksheet using Alice In Wonderland to practice writing conditionals, inverse, contrapositive, and converse – A)http://mathbits.com/MathBits/MathMovies/LogicLewisCarroll.pdf
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DEFINITIONS AND BICONDITIONAL STATEMENTS Bi-conditional statements: RegentsPrep.org: Logic (L, P)http://www.regentsprep.org/Regents/math/geometry/GP1/indexGP1.htm Bi-Conditional Statements: Explorelearning.com (A)http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=173 DIRECT PROOFWriting Proof: RegentsPrep.org (L, P)http://www.regentsprep.org/Regents/math/geometry/GP3/indexGP3.htm
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PARALLEL LINES AND TRANSVERSALS Parallel Lines & Special Angles: Sasinschool.com Interactivity #15 (A)http://www.sasinschool.com/ProductEntrance/Launch/launch.jsp?unit=15 Parallel Lines and Angles: RegentsPrep.org (L, P)http://www.regentsprep.org/Regents/math/geometry/GP8/indexGP8.htm Parallel Lines and Transversals: Emathlab.com (P)http://emathlab.com/Geometry/Lines_and_Angles/ParallelLines.php Proving Lines Parallel: Graphic Organizer: (R)http://www.sw-georgia.resa.k12.ga.us/Math.html Parallel Lines in our World (PROJECT - A)Parallel Line Project
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PARALLEL LINES AND TRANSVERSALS Parallel Lines & Special Angles: Sasinschool.com Interactivity #15 (A)http://www.sasinschool.com/ProductEntrance/Launch/launch.jsp?unit=15 Parallel Lines and Angles: RegentsPrep.org (L, P)http://www.regentsprep.org/Regents/math/geometry/GP8/indexGP8.htm Parallel Lines and Transversals: Emathlab.com (P)http://emathlab.com/Geometry/Lines_and_Angles/ParallelLines.php Proving Lines Parallel: Graphic Organizer: (R)http://www.sw-georgia.resa.k12.ga.us/Math.html Parallel Lines in our World (PROJECT - A)Parallel Line Project
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PARALLEL AND PERPENDICULAR LINES IN THE COORDINATE PLANE Slope and Intercept: BrainPop (L, P)http://www.brainpop.com/math/dataanalysisandprobability/slopeandintercept/ Slopes & Equations of Lines: RegentsPrep.org (L, P) http://www.regentsprep.org/Regents/math/geometry/GCG1/indexGCG1.htm Slope Equations: Emathlab.com: (P)http://emathlab.com/Geometry/Slopes_and_Equations/SlopeEquations.php Equations of Parallel & Perpendicular Lines: Emathlab.com (P)http://emathlab.com/Geometry/Slopes_and_Equations/ParallelPerpendicular.php do triangles and angles next
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Additional Geometry resources will be added.J. Brendel
August, 2012
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HONORS ALGEBRA-II W/TRIGLinks to be updated!
Marking Period-I Chapter-I project
Objective: Use the distance, midpoint, and slope formulas to classify
triangles and quadrilaterals on the coordinate plane. (Geometer’s Sketchpad) G. De Simone 10/14/08
Is Overpopulation Still a Problem?129 KB Word version It wasn’t long ago that overpopulation was thought to be one of the critical problems in our world. In recent years, concern about overpopulation has fallen by the wayside. Still, the population of the earth continues to grow. Should we be concerned? By examining history, data and mathematical processes for examining that data, students will assess the overpopulation problem and try to determine whether or not it’s something about which we should still worry.
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ALGEBRA-2 RESOURCESAlgebra-II (McDougal Littell 2006 text) Chapter 1• Properties of Numbers Quiz(Glencoe)Tutorial for Solving
Inequalities
Chapter 2 Technology Resources for Extra Practice• Relations & Functions Quiz • Linear Equations Quiz • Slope Quiz • Writing Linear Equations Quiz• Using Scatter Plots Quiz • Graphing Linear Inequalities Quiz • Graphing Absolute Value Functions Quiz
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RADICALS AND RATIONAL EXPONENTS:
Exponents worksheet (SAT examples) (JB 11/2010)Exponents and Radicals (L, P)http://people.hofstra.edu/Stefan_Waner/RealWorld/tut_alg_review/framesA_2B.html
Using Exponent Rules: Coolmath.com (P)http://www.coolmath.com/algebra/algebra-practice-polynomials.html
Multiplication and Division of Radicals (E)http://www.intmath.com/Exponents-radicals/5_Multiplication-division-radicals.php
Simplifying Square Roots II: Quia (P)http://www.quia.com/rr/178420.html
Negative and Fractional Exponents: Regentsprep.org (L, P)http://www.regentsprep.org/Regents/math/algtrig/ATO1/indexATO1.htm
Fractional Exponents (E)http://www.intmath.com/Exponents-radicals/2_Fractional-exponent-laws.php
Radical Equations: Regentsprep.org (L, P) http://www.regentsprep.org/Regents/math/algtrig/ATE10/indexATE10.htm
Solving Radical Equations (using TI-84): MathBits (L, E)http://mathbits.com/MathBits/TISection/Algebra2/radicalequations.htm
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ALG. 2 CONTINUEDFACTORING:Factoring ALL Polynomials: Coolmath.com (P)http://www.coolmath.com/algebra/algebra-practice-polynomials.html
Review Factoring Polynomials: Regentsprep.org (L,P)http://www.regentsprep.org/Regents/math/algtrig/ATV1/indexATV1.htm
SCATTER PLOTS: (De Simone 10_08)
• 2.6 Draw Scatter Plots & Lines of Best Fit • Explore Learning (class code W8SGPB3DW7)• 2.6 Using Graphing Calculator for Scatter Plots (PPT)
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QUADRATIC EQUATIONS: Solving Quadratic Equations by Factoring (L) http://lgfl.skoool.co.uk/examcentre.aspx?id=302
Quadratics Review Plus: Coolmath.com (L, P, E)http://www.coolmath.com/algebra/Algebra2/index.html#Algebra_2:_Quadratics_Review_Plus
Quadratic Functions & Equations: Completing the Square (L, P, E)http://my.hrw.com/math06_07/nsmedia/homework_help/alg1/alg1_ch09_08_homeworkhelp.html
Completing the Square: HotMath (P) http://hotmath.com/help/gt/genericalg1/section_6_13.html
Completing the Square Self Quiz: Glencoe (P)http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-827999-2&chapter=6&lesson=4&headerFile=10&state=nj
Quadratic Formula: SOS Math (L, E) http://www.sosmath.com/algebra/factor/fac08/fac08.html
Quadratic Functions & Equations: Quadratic Formula (L, P, E)http://my.hrw.com/math06_07/nsmedia/homework_help/alg1/alg1_ch09_09_homeworkhelp.html
Quadratic Equations, Discriminant, Quadratic Formula: Regentsprep.org (L, P)http://www.regentsprep.org/Regents/math/algtrig/ATE3/indexATE3.htm
Solving Quadratic Equations using the TI-84: Mathbits.com (L)http://www.mathbits.com/MathBits/TISection/Algebra2/quadraticequations.htm
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COMPLEX NUMBERS:
Imaginary Numbers (L)http://mathforum.org/dr.math/faq/faq.imag.num.html
Complex Numbers: What Are They? - Coolmath.com (L)http://www.coolmath.com/algebra/Algebra1/12Complex/01_whatarethey.htm
Factoring with i: Coolmath.com (L, P)http://www.coolmath.com/algebra/Algebra1/12Complex/02_factoring.htm
Basic Operations with Complex Numbers (L)http://www.intmath.com/Complex-numbers/2_Basic-operations.php
Complex Numbers: PurpleMath (L, E)http://www.purplemath.com/modules/complex.htm
Complex Numbers: Regentsprep.org (L, P, A)http://www.regentsprep.org/Regents/math/algtrig/ATO6/indexATO6.htm
Imagine That!: Quia (P)http://www.quia.com/rr/178433.html
Complex Numbers with TI-84: Mathbits.com (R)http://www.mathbits.com/MathBits/TISection/Algebra2/complexgc.htm
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LINEAR INEQUALITIES:
Compound Inequalities Gizmo: Explorelearning.com (A, P)http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=99&ClassID=762341
Linear Inequalities Quiz: ClassZone.com (P)http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-827999-2&chapter=6&lesson=4&headerFile=10&state=nj
Graphing Inequalities: Regentsprep.org (L, P)http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=Ginequal
Linear Inequalities in Two Variables – Activity A Gizmo: Explorelearning.com (A, P)http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=142&ClassID=762326
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ABSOLUTE VALUE EQUATIONS/INEQUALITIES:
Absolute Value Equation: Regentsprep.org (L, P)http://www.regentsprep.org/Regents/math/algtrig/ATE1/indexATE1.htm
Absolute Value Inequalities: Regentsprep.org (L, P)http://www.regentsprep.org/Regents/math/algtrig/ATE2/indexATE2.htm
Absolute Value Equations and Inequalities: Quia.com (P) http://www.quia.com/cb/255240.html
Absolute Value Equations & Inequalities (L, E, P) http://www.themathpage.com/alg/absolute-value.htm
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FUNCTIONS:Vertical Line Test Link to a vertical line test applet (M.Doherty 10_08) (A)http://www.mathwarehouse.com/algebra/relation/vertical-line-test.php
Relations and Functions: Regentsprep.org (L, P)http://www.regentsprep.org/Regents/math/algtrig/ATP5/indexATP5.htm
Function Basics (L)http://library.thinkquest.org/2647/algebra/funcbasc.htm
Functions: Coolmath.com (L, P)http://www.coolmath.com/algebra/Algebra1/index.html#Algebra_1:_Functions
The Function Machine (A)http://score.kings.k12.ca.us/lessons/functions/machine.html
Inverse Functions: Regentsprep.org (L, P)http://www.regentsprep.org/Regents/math/algtrig/ATP8/indexATP8.htm
Inverse Functions: PurpleMath (L, E)http://www.purplemath.com/modules/invrsfcn.htm
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GRAPHS OF FUNCTIONS:
Families of Functions (L, E)http://www.wmueller.com/precalculus/families/splash.html
Transformations with Functions: Regentsprep.org (L, P)http://www.regentsprep.org/Regents/math/algtrig/ATP9/indexATP9.htm
Graphing Quadratic Functions – Activity A Gizmo: Explorelearning (P, A)http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=116&ClassID=762326
Graphing Quadratic Functions: Classzone.com (A)http://www.classzone.com/cz/books/algebra_2_2007_na/get_chapter_group.htm?cin=3&rg=animated_math&at=animations&var=animations
Find the Maximum Value of Quadratic Function: Classzone.com (A)http://www.classzone.com/cz/books/algebra_2_2007_na/get_chapter_group.htm?cin=3&rg=animated_math&at=animations&var=animations
Graphing Quadratic Inequalities: Classzone.com (A)http://www.classzone.com/cz/books/algebra_2_2007_na/get_chapter_group.htm?cin=3&rg=animated_math&at=animations&var=animations
Absolute Value Functions Gizmo: Explorelearning.com (A, P)http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=345
Piecewise Defined Functions (R)http://archives.math.utk.edu/visual.calculus/0/functions.13/index.html
Piecewise Defined Functions (P)http://my.hrw.com/math06_07/nsmedia/homework_help/alg2/alg2_ch09_02_homeworkhelp.html
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VARIATION:
Direct and Inverse Variation: Regentsprep.org (L, P)http://www.regentsprep.org/Regents/math/algtrig/ATE7/indexATE7.htm
Direct, Joint and Inverse Variation: Hotmath (P)http://hotmath.com/help/gt/genericalg2/section_7_2.html
8.1 Compare Different Types of Variation: ClassZone (A)http://www.classzone.com/cz/books/algebra_2_2007_na/get_chapter_group.htm?cin=3&rg=animated_math&at=animations&var=animations
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POLYNOMIAL FUNCTIONS: GRAPHS & ZEROS
Polynomial Division & Zeros: Hotmath (P)http://hotmath.com/help/gt/genericalg2/section_6_8.html
Dividing Polynomials Using Synthetic Division Gizmo: Explorelearning.com (A)http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=131&ClassID=762326
Practice Quiz on Remainder & Factor Thms: Glencoe (P)http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-860861-9&chapter=4&lesson=3&quizType=1&headerFile=4&state=int
Remainder & Factor Theorems (L, E)http://www.intmath.com/Equations-of-Higher-Degree/2_Factor-Remainder-Theorems.php
Zeros of Functions with TI-84: Mathbits.com (L)http://www.mathbits.com/MathBits/TISection/Algebra2/zerofunctions.htm
Roots of Polynomials (L, E)http://www.themathpage.com/aPreCalc/factor-theorem.htm
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Descartes’ Rule of Signs: Purplemath (L)http://www.purplemath.com/modules/drofsign.htm
Polynomial Functions: (R)http://www.intmath.com/Equations-of-Higher-Degree/1_Polynomial-Functions.php
Solving and Graphing Polynomial Equations: Regentsprep.org (L, P)http://www.regentsprep.org/Regents/math/algtrig/ATE13/indexATE13.htm
Graphing Fourth-Degree Polynomials – Activity A Gizmo: Exploreleanring.com (A)http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=136&ClassID=762326
Self Test – Polynomial Functions: Glencoe (P)http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-877856-5&chapter=6&lesson=0&headerFile=7
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RATIONAL FUNCTIONS:
Simplifying, Multiplying and Dividing Rational Expressions (P)http://my.hrw.com/math06_07/nsmedia/homework_help/alg2/alg2_ch08_02_homeworkhelp.html
Adding, Subtracting and Using LCM (P)http://my.hrw.com/math06_07/nsmedia/homework_help/alg2/alg2_ch08_03_homeworkhelp.html
Solving Rational Equations (P)http://my.hrw.com/math06_07/nsmedia/homework_help/alg2/alg2_ch08_05_homeworkhelp.html
Rational Equations and Inequalities: Regentsprep.org (L, P)http://www.regentsprep.org/Regents/math/algtrig/ATE11/indexATE11.htm
Complex Fractions: Regentsprep.org (L, P)http://www.regentsprep.org/Regents/math/algtrig/ATV2/indexATV2.htm
Complex Fractions (L)http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut34_complex.htm
Simplifying Complex Fractions (E)http://www.wisconline.org/objects/index_tj.asp?objID=TMH5005
**Definition of a Rational Function (R)http://id.mind.net/~zona/mmts/functionInstitute/rationalFunctions/definition/definition.html
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EXPONENTIAL AND LOGARITHMIC FUNCTIONS:Logarithmic Expressions and Equations: Regentsprep.org (L, P)http://www.regentsprep.org/Regents/math/algtrig/ATE9/indexATE9.htm
Logarithmic Functions: (L)http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut43_logfun.htm
Working with Logarithms and the TI-84: Mathbits.com (E)http://www.mathbits.com/MathBits/TISection/Algebra2/logarithms.htm
Properties of Logarithms: Purplemath.com (L, E)http://www.purplemath.com/modules/logrules.htm#changeofbase
Properties of Logarithms: (L, E)http://www.helpalgebra.com/articles/propertiesoflogarithms.htm
Self Test – Exponential and Logarithmic Relations: Glencoe (P)http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-877856-5&chapter=9&lesson=0&headerFile=7
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Workbook – Using Logarithmic Properties: Classzone.com (P)http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-877856-5&chapter=6&lesson=0&headerFile=7
Workbook – Solving Exponential and Logarithmic Equations: Classzone.com (P)http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-877856-5&chapter=6&lesson=0&headerFile=7
Exponential and Logarithmic Equations (E, P)http://www.intmath.com/Exponential-logarithmic-functions/6_Logarithm-exponential-eqns.php
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TRIGONOMETRY:
Six Trigonometric Functions: Regentsprep.org (L, P)http://www.regentsprep.org/Regents/math/algtrig/ATT1/indexATT1.htm
Degrees, Radians, and Trig Angle Entries (TI-84): MathBits (L)http://mathbits.com/MathBits/TISection/Trig/degrees.htm
Trigonometric Functions with Geometer’s Sketchpad: Mathbits.com (A)http://www.mathbits.com/MathBits/GSP/TrigFunctions.htm
Trigonometric Functions (L, E)http://www.intmath.com/Trigonometric-functions/Trig-functions-intro.php
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SYSTEMS OF EQUATIONS:
Systems of Linear Equations; Activity A Gizmo: Explorelearning.com (A, P)http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=161&ClassID=762341
Modeling Linear Systems – Activity A Gizmo: Explorelearning.com (A)http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=278&ClassID=762326
Systems of Equations (2x2): Coolmath.com (P)http://www.coolmath.com/algebra/cruncher/system2x2.htm
Systems of Equations: Coolmath.com (L, P)http://www.coolmath.com/algebra/Algebra2/index.html#Algebra_2:_Systems_of_Equations
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SYSTEMS OF INEQUALITIES:
System of Inequalities: Coolmath.com (L)http://www.coolmath.com/algebra/Algebra2/07Systems3x3/09_inequalities.htm
System of Inequalities – Activity A Gizmo: Explorelearning.com (A)http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=162&ClassID=762341
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LINEAR PROGRAMMING:
Linear Programming – Activity A Gizmo: Explorelearning.com (A)http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=143
Review Exercises for Linear Programming (P)http://people.hofstra.edu/Stefan_Waner/RealWorld/Finitequestlp.html
Self Quiz on Linear Programming: Glencoe.com (P)http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-860861-9&chapter=2&lesson=7&quizType=1&headerFile=4&state=int
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MATRICES:
Introduction to Matrices: (L)http://www.tutor.ms.unimelb.edu.au/matrix/matrix_basics.html
Adding and Subtracting Matrices: Purplemath.com (L)http://www.purplemath.com/modules/mtrxadd.htm
Adding and Subtracting Matrices: Purplemath.com (L, P)http://www.ucl.ac.uk/Mathematics/geomath/level2/mat/mat4.html
Matrices: Definition(R)http://www.mrc-cbu.cam.ac.uk/Imaging/Common/matrices.pdf
Working with Matrices on the TI-84: Mathbits.com (L)http://www.mathbits.com/MathBits/TISection/Precalculus/matrices.htm
Working with Determinants of Matrices on the TI-84: Mathbits.com (L)http://www.mathbits.com/MathBits/TISection/Precalculus/determinants.htm
Matrices and Determinants (L, E)http://www.intmath.com/Matrices-determinants/Matrix-determinant-intro.php
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PRE-CALCULUS RESOURCESPRE-CALCULUS RESOURCES
will be added.
J. BrendelAugust 2011
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CALCULUS RESOURCESCALCULUS-BC Resources (from M. Hinrichsen's Web page Oct. 31, 08)
Measurements of Angles:
Graphing angles with degree measure and co-terminal angles.
http://www.themathpage.com/aTrig/measure-angles.htm
Radian Measure:
Converting between degrees and radians and finding co-terminal angles in radians.
http://www.themathpage.com/aTrig/radian-measure.htm
Degrees and Radians:
This site includes a practice quiz. Take a peek - notice anything?
http://www.regentsprep.org/Regents/math/algtrig/ATM1/indexATM1.htm
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CALCULUS CONTINUEDArc Length and Radian MeasureThe relationship between angles in radians and arc length.
http://www.regentsprep.org/Regents/math/algtrig/ATM1/arclengthlesson.htm
Practice with Radian Measure and Arc Length
Practice converting angle measurements between degrees and radians and applying to arc length.
http://www.regentsprep.org/Regents/math/algtrig/ATM1/RadianPractice.htm
Arc Length
http://www.themathpage.com/aTrig/arc-length.htm
Angles in Standard Position and Reference Angles
http://www.regentsprep.org/Regents/math/algtrig/ATT3/referenceAngles.htm
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CALCULUS CONTINUEDhttp://www.regentsprep.org/Regents/math/algtrig/ATT3/referenceAngles.htm
Reference Angles
http://www.sparknotes.com/math/trigonometry/trigonometricfunctions/section4.rhtml
Reference Angles and Reference Triangles
http://www.regentsprep.org/Regents/math/algtrig/ATT3/referenceTriangles.htm
Practice with Reference Angles
http://www.regentsprep.org/Regents/math/algtrig/ATT3/PracReference.htm
Quadrantal Angles
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CALCULUS CONTINUED
http://www.themathpage.com/aTrig/unit-circle.htm
Calculus Presentations - What Is.....
http://www.calculus-help.com/funstuff/phobe.html
Chapter Resources - Quizzes
http://www.college.hmco.com/mathematics/larson/calculus_analytic/7e/students/ace.html
Definitions of the DerivativeThe development of the definitions of the derivative.
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CALCULUS CONTINUEDhttp://www.archive.org/details/AP_Calculus_BC_Lesson_19Differentiability and Continuity http://ia300143.us.archive.org/0/items/AP_Calculus_BC_Lesson_25/Container.htmlBasic Differentiation RulesBasic rules - power, product, quotient, etc.http://ia300136.us.archive.org/1/items/AP_Calculus_BC_Lesson_20/Container.htmlThe Chain Rule http://ia300143.us.archive.org/2/items/AP_Calculus_BC_Lesson_21/Container.htmlImplicit DerivativesImplicit derivatives - lesson and practice.
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CALCULUS CONTINUEDhttp://www.archive.org/details/AP_Calculus_BC_Lesson_26Paramateric Equations and Conic Sections http://www.archive.org/details/AP_Calculus_BC_Lesson_11Parametric Derivatives http://www.archive.org/details/AP_Calculus_BC_Lesson_28Derivatives of Inverse Functions http://www.archive.org/details/AP_Calculus_BC_Lesson_24Derivatives of Exponential Functions
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CALCULUS (LAST SLIDE)http://www.archive.org/details/AP_Calculus_BC_Lesson_22Derivatives of Logarithmic Functions http://www.archive.org/details/AP_Calculus_BC_Lesson_23Logarithmic Differentiation http://www.archive.org/details/AP_Calculus_BC_Lesson_27Tutorial: Extrema and Critical Numbers
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KEEP IN TOUCHJUDITH T. [email protected]
http://www.pascack.k12.nj.us[curriculum] [mathematics] [Workshop: Long Branch or CCSS Standards]