Correlation Between the Nevada Content Standards and the eTAP Lessons

Grade 9-12 Mathematics

Below are the eTAP lessons covering each Standard. Click on the eTAP lesson for access to the Q/A & video.
Topics marked by yellow are accessible from the Demo. You need to become a subscribing Member to access other lessons.
Nevada Header pretest

Content Standard 1.0 Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms; they will determine the reasonableness of answers and the accuracy of solutions to solve problems, communicate, reason, and make connections within and beyond the field of mathematics.

1.12.7 Solve mathematical problems involving exponents and roots.

Powers, Roots and Radicals

http://library.thinkquest.org/20991/alg2/pr.html
1.12.7 Perform addition, subtraction, and scalar multiplication on matrices.

Matrices

http://www.ping.be/~ping1339/matr.htm
1.12.8. Identify and apply real number properties to solve problems.

Properties I.
Properties II.

http://www.regentsprep.org/Regents/math/realnum/properties.htm
1.12.6. Determine an approximate value of radical and exponential expressions using a variety of methods.

http://www.teachertube.com/view_video
.php?viewkey=f20378b1a80125fc862d

Content Standard 2.0 Students will use various algebraic methods to analyze, illustrate, extend, and create numerous representations (words, numbers, tables, and graphs) of patterns, functions, and algebraic relations as modeled in practical situations to solve problems, communicate, reason, and make connections within and beyond the field of mathematics.

2.12.1. Use algebraic expressions to identify and describe the nth term of a sequence.

Arithmetic and Geometric Series

http://www.gcseguide.co.uk/number_sequences.htm
2.12.2. Isolate any variable in given equations, inequalities, proportions, and formulas to use in mathematical and practical situations.

Solving Problems with Algebra

http://www.sosmath.com/algebra/solve/solve0/solve0.html
2.12.3. Add, subtract, multiply, and factor 1st and 2nd degree polynomials connecting the arithmetic and algebraic processes.

Multiplying and Dividing Polynomials

http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=polymult
2.12.3. Simplify algebraic expressions, including exponents and radicals.

Powers, Roots and Radicals
Simplifying Square Roots

http://www.purplemath.com/modules/ numbprop.htm
2.12.4. Determine the domain and range of functions, including linear, quadratic, and absolute value, algebraically and graphically.

Relations

http://www.regentsprep.org/Regents/math/algt
rig/ATP5/DomainRange.htm
2.12.4. Solve absolute value equations and inequalities both algebraically and graphically.

Absolute Value

http://regentsprep.org/Regents/mathb/7D6/abslesson.htm
2.12.5. Solve systems of two linear equations algebraically and graphically and verify solutions (with and without technology).

Systems of Equations

http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=syslin
2.12.6. Solve mathematical and practical problems involving linear and quadratic equations with a variety of methods, including discrete methods (with and without technology).

Quadratics
Equations

http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=solveq

Content Standard 3.0 Students will use appropriate tools and techniques of measurement to determine, estimate, record, and verify direct and indirect measurements to solve problems, communicate, reason, and make connections within and beyond the field of mathematics.

3.12.1. Estimate and convert between customary and metric systems.

http://www.accessscience.com/helpfultools.aspx
3.12.2. Justify, communicate, and differentiate between precision, error, and tolerance in practical problems.

http://www.regentsprep.org/Regents/math/error/LError.htm
3.12.3. Select and use appropriate measurement tools, techniques, and formulas to solve problems in mathematical and practical situations.

Geometric Formulas

http://www.purplemath.com/modules/geoform.htm
3.12.4. Interpret and apply consumer data presented in charts, tables, and graphs to make informed financial decisions related to practical applications.

Data Display Analysis

http://42explore.com/graphs.htm
3.12.5. Determine the measure of unknown dimensions, angles, areas, and volumes using relationships and formulas to solve problems.

Angle Relationships
Geometric Formulas
Indirect Measurement

http://www.regentsprep.org/Regents/math/angles/Lparallel.htm

Content Standard 4.0 Students will identify, represent, verify, and apply spatial relationships and geometric properties to solve problems, communicate, and make connections within and beyond the field of mathematics.

4.12.1. Identify and use the parts of a circle to solve mathematical and practical problems.

Circles

http://library.thinkquest.org/C0110248/geometry/menpartcircle.htm
4.12.1. Identify and apply properties of interior and exterior angles of polygons to solve mathematical and practical problems.

Exterior Angles of a Polygon
Polygon Sum Conjecture

http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=poly
4.12.2. Apply properties of similarity through right triangle trigonometry to find missing angles and sides.

Similarity

http://www.regentsprep.org/Regents/math/similar/Lsimilar.htm
4.12.5. Determine the slope of lines using coordinate geometry and algebraic techniques. Identify parallel, perpendicular, and intersecting lines by slope.

Slope of a Line

http://www.purplemath.com/modules/slope.htm
4.12.5. Graph linear equations and find possible solutions to those equations using coordinate geometry.

Graphing Linear Equations - Part I
Graphing Linear Equations - Part II

http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=glines
4.12.5. Find possible solution sets of systems of equations whose slopes indicate parallel, perpendicular, or intersecting lines

Systems of Equations

http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=syslin
4.12.6. Solve problems using complementary and supplementary angles, congruent angles, vertical angles, angles formed when parallel lines are cut by a transversal and angles in polygons.

Parallel Lines
Line and Angle Relationships

http://www.regentsprep.org/Regents/math/angles/LAngles.htm
4.12.7. Apply the Pythagorean Theorem and its converse in mathematical and practical situations.

Pythagorean Theorem

http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=fpyth
4.12.8. Solve problems by drawing and/or constructing geometric figures to demonstrate geometric relationships.

Construction

http://whistleralley.com/construction/reference.htm
4.12.9. Formulate, evaluate, and justify arguments using inductive and deductive reasoning in mathematical and practical situations.

Deductive Reasoning
Inductive Reasoning

http://www.sparknotes.com/math/geometry3/induc
tiveanddeductivereasoning/section1.html

Content Standard 5.0 Students will collect, organize, display, interpret, and analyze data to determine statistical relationships and probability projections to solve problems, communicate, reason, and make connections within and beyond the field of mathematics.

5.12.1. Organize statistical data through the use of tables, graphs, and matrices (with and without technology).

Data Display Analysis

http://www.virted.org/Graphs/TabGraphMain.html
5.12.2.Select and apply appropriate statistical measures in mathematical and practical situations.

Measures of Central Tendencies
Measures of Dispersion (Positions)

http://www.static.cc.gatech.edu/classes/cs6751_97_wi
nter/Topics/stat-meas/
5.12.3. Distinguish between a sample and a census. Identify sources of bias and their effect on data representations and statistical conclusions. Use the shape of a normal distribution to compare and analyze data from a sample.

Sample Selection Procedures
Discrete Probability Distribution

http://www-stat.stanford.edu/~naras/jsm/NormalDensity/
NormalDensity.html
5.12.4. Apply permutations and combinations to mathematical and practical situations, including the Fundamental Counting Principle.

Permutation and Combination

http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=permut
5.12.5. Determine the probability of an event with and without replacement using sample spaces. Design, conduct, analyze, and effectively communicate the results of multi-stage probability experiments.

Theoretical And Experimental Probabilities

http://www.regentsprep.org/Regents/math/probab/theoProp.htm
5.12.6. Design, construct, analyze, and select an appropriate type of graphical representations to communicate the results of a statistical experiment. Formulate and justify inferences based on a valid data sample.

Graphs and Statistical Presentations

http://math.youngzones.org/stat_graph.html