At a Glance. Mathematics
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1 SAS Curriculum Pathways At a Glance Mathematics Numbers in parentheses are the Quick Launch numbers. INTRODUCTORY ALGEBRA: Number Sense Web Inquiry: What are perfect numbers and how are they determined? (81) Audio Inquiry: Real Number Hierarchy (1284) Classroom Activity: Pairs and Primes (1012) Web Lesson: Cryptography (488) Project: Is This Number Exact or Approximate? Is It Accurate or Precise? (280) Web Resources: Number Sense: Internet Sites (710) INTRODUCTORY ALGEBRA: Equations & Inequalities InterActivity: Tools for Equations & Inequalities (962) Simplifier: Order of Operations Simplifier: Polynomials Solver: How to Solve Solver: Linear Inequalities Solver: Simple Equations Web Inquiry: When solving equations, how can you know if your answers are correct before your teacher does? (82) Audio Inquiry: Solving Absolute Value Equations (1285) Classroom Activity: From Words to Equations and Back Again (1013) Web Lesson: Solving Linear Equations (489) Project: Solving and Graphing Inequalities (281) Web Resources: Equations & Inequalities: Internet Sites (711) INTRODUCTORY ALGEBRA: Coordinate Geometry InterActivity: Tools for Coordinate Geometry (963) Distance: 1, 2 & 3 Dimensions Exploring Transformations Grapher: Coordinate Plane Graphing Dilations Graphing Reflections Graphing Rotations Graphing Translations Web Inquiry: What does graphing points have to do with locations on maps? (83) Audio Inquiry: Slope (1352) Classroom Activity: Centroid of a Triangle (1014) Web Lesson: Predicting Earthquakes through Graphs (490) Project: Distance Formula in Washington, DC (282) Web Resources: Coordinate Geometry: Internet Sites (712) SAS Curriculum Pathways At a Glance See for a pdf version of this document.
2 INTRODUCTORY ALGEBRA: Linear Equations & Inequalities InterActivity: Tools for Linear Equations & Inequalities (964) Grapher: Linear Equations Grapher: Linear Inequalities Grapher: Special Functions (Explore) Solver: Linear Inequalities Solver: Simple Equations Web Inquiry: Now that I can color outside the lines, how do I decide which side of a line to color? (84) Audio Inquiry: Vertical and Horizontal Lines (1287) Classroom Activity: Slope of Handicap Ramps (1015) Web Lesson: Parallel or Perpendicular? (491) Project: Exploring Rates of Change (283) Web Resources: Linear Equations & Inequalities: Internet Sites (713) INTRODUCTORY ALGEBRA: Rational Expressions InterActivity: Tools for Rational Expressions (965) Grapher: Special Functions (Explore) Simplifier: Order of Operations Simplifier: Factoring Simplifier: Rationals Web Inquiry: How are rational expressions simplified? (85) Audio Inquiry: Division by Zero (1288) Classroom Activity: Rational Scale Factors (1016) Web Lesson: Exploring Variations (492) Project: Graphing Rational Functions (284) Web Resources: Rational Expressions: Internet Sites (714) INTRODUCTORY ALGEBRA: Radical Expressions InterActivity: Tools for Radical Expressions (966) Grapher: Special Functions (Explore) Simplifier: Order of Operations Simplifier: Radicals Web Inquiry: What are powers and roots and how are they related? (86) Audio Inquiry: Simplified Radicals (1289) Classroom Activity: Measuring the Diagonal of a Classroom (1017) Web Lesson: A Scavenger Hunt on Radicals (493) Project: Radicals Applied! (285) Web Resources: Radical Expressions: Internet Sites (715) INTRODUCTORY ALGEBRA: Polynomials & Factoring InterActivity: Tools for Polynomials & Factoring (967) Simplifier: Factoring Simplifier: Polynomials Web Inquiry: How are polynomials added and subtracted? (87) Audio Inquiry: Evaluating Expressions (1292) Classroom Activity: Polynomials and Perimeters (1018) Web Lesson: A Few Words on Factoring (494) Project: Factor Away! (286) Web Resources: Polynomials & Factoring: Internet Sites (716) SAS Curriculum Pathways At a Glance See for a pdf version of this document. 2
3 INTRODUCTORY ALGEBRA: Systems of Equations InterActivity: Tools for Systems of Equations (968) Grapher: Linear Equations Grapher: Linear Inequalities Grapher: Systems of Linear Equations Grapher: Systems of Linear Inequalities Solver: Linear Systems Web Inquiry: What is the significance of the break-even point and how can it be found? (88) Audio Inquiry: Systems of Linear and Nonlinear Equations (1290) Classroom Activity: Producing Crunch Berries Cereal (1019) Web Lesson: Using Systems of Equations to Make Money (495) Project: Which Method Is Best? (287) Web Resources: Systems of Equations: Internet Sites (717) INTRODUCTORY ALGEBRA: Quadratic Functions InterActivity: Tools for Quadratic Functions (969) Grapher: Quadratic Functions Simplifier: Factoring Solver: Quadratic Equations Web Inquiry: What can the discriminant indicate about a quadratic equation and its graph? (891) Audio Inquiry: Real-World Examples of Quadratic Functions (1291) Classroom Activity: The Highs and Lows of a Quadratic Function (1169) Web Lesson: It s Your Move (922) Project: The Best Use of Your Time (912) Web Resources: Quadratic Functions: Internet Sites (902) INTERMEDIATE ALGEBRA: Powers, Roots & Absolute Value InterActivity: Tools for Powers, Roots & Absolute Value (1211) Grapher: Absolute Value Equations & Inequalities (Explore) Grapher: Absolute Value Equations & Inequalities (Practice & Quiz) Simplifier: Complex Numbers Web Inquiry: When an expression has many exponents, what are the rules for simplifying it? (89) Classroom Activity: Relatively Speaking (1020) Web Lesson: What is Happening to My Absolute Value Parent? (496) Project: Discovering the Period of a Pendulum (288) Web Resources: Powers, Roots & Absolute Value: Internet Sites (718) INTERMEDIATE ALGEBRA: Quadratic Equations & Inequalities InterActivity: Tools for Quadratic Equations & Inequalities (1212) Grapher: Quadratic Functions Grapher: Quadratic Inequalities (Explore) Grapher: Quadratic Inequalities (Practice & Quiz) Simplifier: Complex Numbers Solver: Quadratic Equations Solver: Quadratic Inequalities Web Inquiry: How do the solutions for two-variable and one-variable quadratic inequalities differ? (90) Classroom Activity: Playing Jeopardy with the Roots of a Quadratic Equation (1021) Web Lesson: Quadratic Functions: Two for the Graph of One (497) Project: Real-world Quadratic (289) Web Resources: Quadratic Equations & Inequalities: Internet Sites (719) SAS Curriculum Pathways At a Glance See for a pdf version of this document. 3
4 INTERMEDIATE ALGEBRA: Polynomial Functions InterActivity: Tools for Polynomial Functions (1213) Grapher: Polynomial Functions (Explore) Web Inquiry: Why are the Remainder Theorem and the Factor Theorem important for polynomial functions? (91) Classroom Activity: Polynomial Patterns (1022) Web Lesson: Seeing is believing (498) Project: Binomial Factoring vs. Binomial Expansion (290) Web Resources: Polynomial Functions: Internet Sites (720) INTERMEDIATE ALGEBRA: Rational Functions InterActivity: Tools for Rational Functions (1214) Grapher: Special Functions (Explore) Web Inquiry: What information does the equation of a rational function tell about its graph? (92) Classroom Activity: Properties of Rational Functions (1023) Web Lesson: In Focus: Applications of Rational Functions (499) Project: Rational Functional Models: The Mo$t for Your Dollar (291) Web Resources: Rational Functions: Internet Sites (721) INTERMEDIATE ALGEBRA: Functions InterActivity: Tools for Functions (1215) Grapher: Piecewise Functions (Explore) Grapher: Special Functions (Explore) Web Inquiry: How can you classify functions as even, odd, or neither? (93) Classroom Activity: Does Your Inverse Function? (1024) Web Lesson: Domains of Composite Functions (500) Project: Home Run Derby (292) Web Resources: Functions: Internet Sites (722) INTERMEDIATE ALGEBRA: Introductory Matrices Web Inquiry: How is the determinant of a matrix evaluated? (94) Classroom Activity: Matrix Operations: Associative or Commutative? (1025) Web Lesson: Matrices and Systems (501) Project: Cryptography and Matrices (293) Web Resources: Introductory Matrices: Internet Sites (723) SAS Curriculum Pathways At a Glance See for a pdf version of this document. 4
5 INTERMEDIATE ALGEBRA: Exponential & Logarithmic Functions InterActivity: Tools for Exponential & Logarithmic Functions (1217) Grapher: Special Functions (Explore) Web Inquiry: How can the rate of change of an exponential function be described? (95) Classroom Activity: Logarithms Function with ph (1026) Web Lesson: Explorations in Logarithms (502) Project: The AIDS Epidemic (294) Web Resources: Exponential & Logarithmic Functions: Internet Sites (724) INTERMEDIATE ALGEBRA: Sequences & Series Web Inquiry: What are the advantages and disadvantages of using sigma notation? (96) Classroom Activity: Monster Curves (1027) Web Lesson: Towers of Hanoi (503) Project: Exploring Sequences (295) Web Resources: Sequences & Series: Internet Sites (725) ADVANCED ALGEBRA: Conics Web Inquiry: How can factoring help me graph hyperbolas? (97) Classroom Activity: A Three Point Circle (1028) Web Lesson: Satellite Orbits (504) Project: Conics in Polar Form (296) Web Resources: Conics: Internet Sites (726) ADVANCED ALGEBRA: Exponential & Logarithmic Functions Web Inquiry: Why are both common logarithms and natural logarithms necessary for applications today? (98) Classroom Activity: Newton s Law of Cooling (1029) Web Lesson: Intensity of an Earthquake (505) Project: Discovering e (297) Web Resources: Exponential & Logarithmic Functions: Internet Sites (727) ADVANCED ALGEBRA: Polynomials Web Inquiry: Of what use are polynomials outside the math classroom? (99) Classroom Activity: Going to Extremes (1030) Web Lesson: Zeros and End Behavior of Polynomial Functions (506) Project: Figurate Numbers (298) Web Resources: Polynomials: Internet Sites (728) SAS Curriculum Pathways At a Glance See for a pdf version of this document. 5
6 ADVANCED ALGEBRA: Principles of Counting Web Inquiry: What patterns in Pascal s triangle can help you expand a binomial expression? (100) Classroom Activity: N x N Non-taking Rooks (1031) Web Lesson: Musical Dice Game (507) Project: Decisions, Decisions (299) Web Resources: Principles of Counting: Internet Sites (729) ADVANCED ALGEBRA: Recursion & Induction Web Inquiry: How could you use recursion to convince your best friend not to start smoking? (101) Classroom Activity: Map-Matical Induction (1032) Web Lesson: Fibo-Nature Numbers (508) Project: SierPascal s Triangle? (300) Web Resources: Recursion & Induction: Internet Sites (730) ADVANCED ALGEBRA: Sequences & Series Web Inquiry: What does the phrase limit of a sequence mean and how can it be used in the real world? (102) Classroom Activity: Traffic Jam (1033) Web Lesson: Infinitely Interesting Series (509) Project: Zeno s Paradoxes (301) Web Resources: Sequences & Series: Internet Sites (731) ADVANCED ALGEBRA: Theory of Equations Web Inquiry: When must I check my answers and why? (103) Classroom Activity: Relationship between Factors and Roots (1034) Web Lesson: Bisection Theorem (510) Project: Solving Rational Inequalities (302) Web Resources: Theory of Equations: Internet Sites (732) GEOMETRY: Points, Lines & Planes InterActivity: Tools for Points, Lines & Planes (13) Distance: 1, 2 & 3 Dimensions Web Inquiry: How do you know when an object is symmetrical to a line or around a point? (104) Audio Inquiry: Midpoint Formula (1286) Classroom Activity: Lines in Multiple Environments (1035) Web Lesson: Four Points about Point (511) Project: Literary Uses of Points, Lines, and Planes (303) Web Resources: Points, Lines & Planes: Internet Sites (733) SAS Curriculum Pathways At a Glance See for a pdf version of this document. 6
7 GEOMETRY: Angles & Triangles InterActivity: Tools for Angles & Triangles (14) Exploring Transformations Graphing Dilations Graphing Reflections Graphing Rotations Graphing Translations Triangles: Interior & Exterior Angles Web Inquiry: What are the different types of angles and some special angle pairs? (105) Audio Inquiry: Pythagorean Theorem (1351) Classroom Activity: Paper Folding Triangles and Euler s Line (1036) Web Lesson: Classical Angle Constructions (512) Project: How Many Ways Can the Pythagorean Theorem Be Proven? (304) Web Resources: Angles & Triangles: Internet Sites (734) GEOMETRY: Parallel Lines InterActivity: Tools for Parallel Lines (15) Parallel Lines: Special Angles Web Inquiry: Why do artists use parallel lines that do intersect? (106) Audio Inquiry: Parallel and Perpendicular Slopes (1357) Classroom Activity: Greek Division (1037) Web Lesson: More Than One Parallel Line? (513) Project: Building a Riemannian World (305) Web Resources: Parallel Lines: Internet Sites (735) GEOMETRY: Triangle Congruency InterActivity: Tools for Triangle Congruency (889) Exploring Transformations Graphing Reflections Graphing Rotations Graphing Translations Triangles: Proving Congruency Web Inquiry: How are congruent triangles used to prove some of the properties of special quadrilaterals? (107) Audio Inquiry: CPCTC (1358) Classroom Activity: Triangle Conjectures (1038) Web Lesson: Congruency in Transformations (514) Project: Congruency and Similarity in Quilt Design (306) Web Resources: Triangle Congruency: Internet Sites (736) GEOMETRY: Similarity InterActivity: Tools for Similarity (890) Exploring Transformations Graphing Dilations Triangles: Proving Similarity Web Inquiry: How are the perimeters and areas of similar polygons related? (108) Audio Inquiry: Similarity and Proportions (1359) Classroom Activity: Relationships in Proportion (1039) Web Lesson: Similarity and Problem-Solving (515) Project: Indirect Measure (307) Web Resources: Similarity: Internet Sites (737) SAS Curriculum Pathways At a Glance See for a pdf version of this document. 7
8 GEOMETRY: Properties of Circles InterActivity: Tools for Properties of Circles (18) Circles: Chords, Secants & Tangents Web Inquiry: Which is a better buy a slice from a 17-inch pizza cut into 10 pieces or one from a 14-inch pizza cut into 8 pieces? (109) Audio Inquiry: Area and Circumference of a Circle (1349) Classroom Activity: In Search of Pi (1040) Web Lesson: Central and Inscribed Angles in Circles (516) Project: Going Around in Circles (308) Web Resources: Properties of Circles: Internet Sites (738) GEOMETRY: 2D Figures InterActivity: Tools for 2D Figures (19) Exploring Transformations Graphing Dilations Graphing Reflections Graphing Rotations Graphing Translations Polygons: Interior & Exterior Angles Web Inquiry: What do slides, flips, and turns have in common? (110) Audio Inquiry: Area of Triangles and Quadrilaterals (1350) Classroom Activity: Garden Fences (1041) Web Lesson: House Plans (517) Project: Pick a Formula (309) Web Resources: 2D Figures: Internet Sites (739) GEOMETRY: 3D Figures InterActivity: Tools for 3D Figures (20) Volume: Prisms & Cylinders Web Inquiry: Why are 2D features important when studying 3D solids? (111) Audio Inquiry: Surface Area of Prisms and Cylinders (1353) Classroom Activity: All Nets Are Not Created Equal (1042) Web Lesson: Surface Area as an Art Form (518) Project: Surface Area and Volume Relationships (310) Web Resources: 3D Figures: Internet Sites (740) TRIGONOMETRY: Ratios & Functions Web Inquiry: In a right triangle, how are the sides and angles related? (112) Classroom Activity: Height of a Tree (1043) Web Lesson: How Much Daylight in an Average Day? (519) Project: Your Town s Average Temperature and a Sine Curve (311) Web Resources: Ratios & Functions: Internet Sites (741) SAS Curriculum Pathways At a Glance See for a pdf version of this document. 8
9 TRIGONOMETRY: Circular Functions & Graphs Web Inquiry: How are sine and cosine graphs transformed by changes to their equations? (113) Classroom Activity: Circular vs. Hyperbolic Trig Functions (1044) Web Lesson: Why Are Sine and Cosine Called Circular Functions? (520) Project: Biorhythms and Sine Curves (312) Web Resources: Circular Functions & Graphs: Internet Sites (742) TRIGONOMETRY: Inverse Functions Web Inquiry: When and why are restrictions placed on the sine, cosine, and tangent functions? (114) Classroom Activity: When Should Vegetables Be Planted in the Garden? (1045) Web Lesson: Restriction of Domains (521) Project: Approximating p with Inverse Trigonometric Functions (313) Web Resources: Inverse Functions: Internet Sites (743) TRIGONOMETRY: Identities & Equations Web Inquiry: What are trigonometric identities, how can they be verified, and how are they proved? (115) Classroom Activity: Using a Trig Equation with the Nautical Mile (1046) Web Lesson: Hyperbolic Analogies of Common Trigonometric Identities (522) Project: Approximating Sine and Cosine (314) Web Resources: Identities & Equations: Internet Sites (744) TRIGONOMETRY: Triangles: Right & Oblique Web Inquiry: When solving non-right triangles, is there always one right answer? (116) Classroom Activity: Finding a More General Area Formula (1047) Web Lesson: Lighthouses (523) Project: How Wide Is a Football Field? (315) Web Resources: Triangles: Right & Oblique: Internet Sites (745) TRIGONOMETRY: Complex Numbers Web Inquiry: How is De Moivre s Theorem used to find powers of complex numbers? (117) Classroom Activity: Complex Roots of Quadratic Equations (1048) Web Lesson: Orbits and Julia Sets (524) Project: Appli-COMPLEX-cations (316) Web Resources: Complex Numbers: Internet Sites (746) TRIGONOMETRY: Polar Coordinates Web Inquiry: What are polar coordinates and how are they related to rectangular coordinates? (118) Classroom Activity: A Polar Family Treasure (1049) Web Lesson: Classical Curves: Polar and Rectangular Graphs (525) Project: Create Your Own Polar Curve (317) Web Resources: Polar Coordinates: Internet Sites (747) SAS Curriculum Pathways At a Glance See for a pdf version of this document. 9
10 DATA ANALYSIS: Data Collection Methods Web Inquiry: How are sampling techniques during collection of data important to the analysis and interpretation of the results? (119) Classroom Activity: Statistics in the News: What to Believe? (1050) Web Lesson: What s My Data Type? (526) Project: Random Samples Using Surveys (318) Web Resources: Data Collection Methods: Internet Sites (748) DATA ANALYSIS: Scatter Diagrams & Correlation Web Inquiry: Why should the measure of a linear relationship be analyzed beyond the correlation coefficient? (120) Classroom Activity: Sentences, Words, and Reading Level (1051) Web Lesson: Matching Correlation and Plot (527) Project: Data Gathering with Independent and Dependent Variables (319) Web Resources: Scatter Diagrams & Correlation: Internet Sites (749) DATA ANALYSIS: Data Representations Web Inquiry: Why is the five-number summary important in the analysis of box-and-whisker plots? (121) Classroom Activity: Using Data to Make Good Decisions (1052) Web Lesson: Line Graphs with Real-World Data (528) Project: Analyzing and Presenting a Month s Collection of Data (320) Web Resources: Data Representations: Internet Sites (750) DATA ANALYSIS: Measures of Center Web Inquiry: What are the pros and cons of the three measures of central tendency? (122) Classroom Activity: Mean and Median: Are They Stable? (1053) Web Lesson: Central Tendencies from Web Data (529) Project: Using Your Own Data (321) Web Resources: Measures of Center: Internet Sites (751) DATA ANALYSIS: Measures of Variability Web Inquiry: How can two data sets have the same mean but different standard deviations? (123) Classroom Activity: Choosing the Best Statistic (1054) Web Lesson: Changing Data: Effects on Variability (530) Project: Variability of World Leaders (322) Web Resources: Measures of Variability: Internet Sites (752) DATA ANALYSIS: Probability Web Inquiry: What is a probability distribution and when is it appropriate to use it to make predictions? (124) Classroom Activity: Probability Distribution of Throwing Two Dice (1055) Web Lesson: Counts vs. Percentages (531) Project: Animal Crackers (323) Web Resources: Probability: Internet Sites (753) Copyright 2009, SAS Institute Inc., Cary, NC, USA. All Rights Reserved US_
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