Nevada Math - eTAP Correlation

Correlation Between the Nevada Content Standards and the eTAP Lessons

Grade 8 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.

Content Standard 1.0 TStudents 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.

1.8.1. Represent numbers using scientific notation in mathematical and practical situations.

Scientific Notation

http://www.nyu.edu/pages/mathmol/textbook/scinot.html

1.8.2. Translate among fractions, decimals, and percents, including percents greater than 100 and percents less than 1. Explain and use the relationship among equivalent representations of rational numbers in mathematical and practical situations.

Fractions, Decimals I
Fractions, Decimals II

http://www.bbc.co.uk/skillswise/numbers/fractiondecimalpercentage/

1.8.3. Compare and order real numbers, including powers of whole numbers in mathematical and practical situations.

Order and Compare Whole Numbers

http://www.eduplace.com/math/mhm/4/08/

1.8.5. Identify perfect squares to 225 and their corresponding square roots.

Raising Numbers to Various Powers
Finding Square Roots & Other Roots

http://www.purplemath.com/modules/radicals.htm

1.8.6.Use estimation strategies to determine the reasonableness of an answer in mathematical and practical situations.

Estimate

http://www.aaaknow.com/est.htm#topic10

1.8.7. Calculate with real numbers to solve mathematical and practical situations. Use order of operations to solve equations in the real number system.

Solving Basic Equations

http://library.thinkquest.org/20991/prealg/eq.html

1.8.8. Identify and apply the identity property, inverse property, and the absolute value of real numbers to solve problems.

Identity Property
Absolute Value

http://regentsprep.org/REgents/math/math-topic.cfm?TopicCode=absvalue

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.

2.3.1. Recognize, describe, and create patterns using objects and numbers found in tables, number charts, and charts. Record results of patterns created using manipulatives, pictures, and numeric representations and describe how they are extended.

Simple Patterns

http://www.linkslearning.org/Kids/1_Math/2_
Illustrated_Lessons/5_Patterns/index.html

2.3.2. Model, explain, and solve open number sentences involving addition, subtraction, and multiplication facts. Use variables and open sentences to express relationships.

Solving Problems with Algebra

http://www.aaaknow.com/equ38ix2.htm

2.8.1. Find the missing term in a numerical sequence or a pictorial representation of a sequence.

Arithmetic and Geometric Series

http://www.allstarpuzzles.com/matchquiz/extra/info00164.html

2.8.2. Evaluate formulas and algebraic expressions using rational numbers (with and without technology). Solve and graphically represent equations and inequalities in one variable, including absolute value.

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

http://www.themathpage.com/alg/algebraic-expressions.htm

2.8.3. Add and subtract binomials.

Polynomials
Adding and Subtracting Polynomials

http://regentsprep.org/REgents/math/math-topic.cfm?TopicCode=polymult

2.8.4. Identify, model, describe, and evaluate functions (with and without technology). Translate among verbal descriptions, graphic, tabular, and algebraic representations of mathematical situations (with and without technology).

Functions and Graphs
Solving Problems with Algebra

http://www.analyzemath.com/function/linear_functions.html

2.8.5. Solve linear equations and represent the solution graphically. Solve inequalities and represent the solution on a number line.

Solving Basic Equations

http://library.thinkquest.org/20991/prealg/eq.html

2.8.6. Describe how changes in the value of one variable affect the values of the remaining variables in a relation.

Relations

http://home.nutshellmath.com/en-US/nutshell_pages/html/demos_content/prealg_relati
ons_and_functions.html

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.

3.8.1. Estimate and convert units of measure for mass and capacity within the same measurement system (customary and metric).

http://www.unc.edu/~rowlett/units/

3.8.2. Demonstrate an understanding of precision, error, and tolerance when using appropriate measurement tools.

http://regentsprep.org/Regents/Math/m
ath-topic.cfm?TopicCode=error

3.8.3. Identify how changes in a dimension of a figure effect changes in its perimeter, area and volume.

http://argyll.epsb.ca/jreed/math9/strand3/3108.htm

3.8.4. Calculate percents in monetary problems.

Percent, Decimals & Fractions

http://www.math.com/students/calculators/source/3percent.htm

3.8.5. Apply ratios and proportions to calculate rates and solve mathematical and practical problems using indirect measure.

Interpret and Use Ratios
Use Proportions to Solve Problems

http://www.purplemath.com/modules/ratio.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.

4.8.1. Find and use the sum of the measures of interior angles of polygons.

Polygon Sum Conjecture

http://www.mathsisfun.com/geometry/interior-angles-polygons.html

4.8.2. Apply the properties of equality and proportionality to congruent or similar shapes.

Similarity
Congruencies

http://www.themathpage.com/ARITH/proportionality.htm

4.8.3. Demonstrate dilation using coordinate geometry and models. Describe the relationship between an original figure and its transformation or dilation.

Dilation

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

4.8.5. Calculate slope, midpoint, and distance using equations and formulas (with and without technology).

Slope of a Line
Midpoint of a Line Segment
Distance Calculations

http://regentsprep.org/REgents/math/math-topic.cfm?TopicCode=glines

4.8.5. Determine the x- and y- intercepts of a line.

Slope Intercept Form of Equations

http://cs.selu.edu/~rbyrd/math/intercept/

4.8.6. Form generalizations and validate conclusions about geometric figures and their properties.

Geometric Lines, Figures and Relationships

http://www.mathleague.com/help/geometry/polygons.htm

4.8.7. Verify and explain the Pythagorean Theorem using a variety of methods. Determine the measure of the missing side of a right triangle.

Pythagorean Theorem

http://regentsprep.org/regents/Math/math-topic.cfm?T
opicCode=fpyth

4.8.8. Construct geometric figures using a variety of tools.

Construction

http://whistleralley.com/construction/reference.htm

4.8.9. Represent logical relationships using conditional statements.

Conditional Proof

http://www.yourteacher.com/geometry/conditionals
tatements.php

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.

5.8.1. Formulate questions and design a study that guides the collection of data. Organize, display, and read data including box and whisker plots (with and without technology).

Sample Selections Procedures
Data Display Analysis

http://regentsprep.org/regents/Math/math-topic.cfm
?TopicCode=data

5.8.2. Select and apply appropriate measures of data distribution, using interquartile range and central tendency.

Data Calculations

http://regentsprep.org/regents/math/math-
topic.cfm?TopicCode=mean

5.8.3. Evaluate statistical arguments that are based on data analysis for accuracy and validity.

5.8.4. Find the number of combinations possible in mathematical and practical situations. Distinguish between permutations and combinations.

Permutation and Combination

http://www.mathagonyaunt.co.uk/STATISTICS/
ESP/Perms_combs.html

5.8.5. Differentiate between the probability of an event and the odds of an event.

Probability of Events
Relationships Between Events

http://www.childrensmercy.org/stats/definitions/odds.htm

5.8.6. Formulate reasonable inferences and predictions through interpolation and extrapolation of data to solve practical problems.