The Ascend Math Solution

2y ago
28 Views
3 Downloads
230.32 KB
10 Pages
Last View : 1d ago
Last Download : 2m ago
Upload by : Lilly Andre
Transcription

The Ascend Math SolutionAlgebra II ScopeAscend Education302 Albany Avenue Shreveport, LA 71105Toll Free (877) 843‐0277 Fax (318) 865‐6227 International (318) 865‐8232www.ascendmath.com

2ContentsSolving Linear Equations . 4Modeling Applications with Linear Equations . 4Solving Linear Inequalities . 4Solving Absolute Value Equations. 4Compound Inequalities . 4Solving Absolute Value Inequalities (Less Than) . 4Solving Absolute Value Inequalities (Greater Than) . 4Exponents . 4Addition and Subtraction of Polynomials . 5Multiplication of Polynomials . 5Greatest Common Factor and Factoring Monomials . 5Factoring Trinomials . 5Factoring Trinomials by Grouping . 5Factoring Binomials . 5General Factoring. 5Solving Quadratic Equations by Factoring . 5Multiplication and Division of Rational Expressions . 5Addition and Subtraction of Rational Expressions. 6Addition and Subtraction of Rational Expressions. 6Complex Fractions. 6Division of Rational Expressions . 6Division of Rational Expressions (Synthetic Division) . 6Equations Involving Rational Expressions . 6Modeling Applications with Rational Expressions . 6Rational Exponents . 6Simplifying Radicals . 7Simplifying Radicals . 7Addition and Subtraction of Radical Expressions . 7Multiplication of Radical Expressions . 7Division of Radical Expressions . 7Radical Equations . 7

3Quadratic Equations Solved by Factoring . 7Solving Quadratic Equations by the Completing the Square . 7Solving Quadratic Equations by using the Square Root Property . 8Solving Quadratic Equations by the Quadratic Formula . 8Modeling Applications with Quadratic Equations . 8Distance and Slope . 8Intercepts . 8Equations of Straight Lines: Finding Slope of a Line . 8Equations of Straight Lines: Using the Slope‐Intercept Form . 8Equations of Straight Lines: Finding Perpendicular and Parallel Lines . 8Domain and Range of a Relation. 9Function, a Type of Relation . 9Graphing Linear Inequalities in Two Variables . 9Graphing the Intersection of Two Linear Inequalities . 9Simultaneous Equations: Using Addition Method . 9Simultaneous Equations: Using Substitution Method . 9Simultaneous Equations: Using Elimination Method . 9Topics covered by Ascend Math Algebra II include: . 10About Ascend Math . 10

4Solving Linear EquationsThis objective covers the solution of linear equations, balancing equations, isolation of the unknown,and moving terms from one side of the equation to the other. Removal of parentheses andsimplification of terms is covered as well as collecting like terms. Equations covered are at the Algebra IIlevel of difficulty. Also covered are literal equations or equations involving several different symbols inwhich one in particular is to be isolated.Modeling Applications with Linear EquationsThis objective covers a variety of intermediate level word problems including problems involvingdistance, speed, and time as well as problems involving interest rates.Solving Linear InequalitiesThis objective covers solving linear inequalities by isolating the unknown using methods similar to thosefor linear equations. The reversal of inequality symbol when multiplying both sides of an inequality by anegative number is also covered. The problems covered here are at the Algebra II level of difficulty.Solving Absolute Value EquationsThis objective covers the solution of equations in which one or more terms contain the absolute value ofa linear expression in the unknown. The method of isolation of the absolute value term is used.Compound InequalitiesThis objective covers the method of solving and graphing compound inequalities and pairs ofinequalities in one unknown.Solving Absolute Value Inequalities (Less Than)This objective covers the method of solving absolute value inequalities by isolating the absolute valueterm and reducing to a system of "less than" inequalities.Solving Absolute Value Inequalities (Greater Than)This objective covers the method of solving absolute value inequalities by isolating the absolute valueterm and reducing to a system of "greater than" inequalities.ExponentsThis objective covers the laws of exponents in relation to the basic operations on real numbers as well asthe use of the laws of exponents to simplify or rearrange algebraic expressions. Negative exponents arealso covered.

5Addition and Subtraction of PolynomialsThis objective will cover addition and subtraction of polynomials. It will also cover the removal ofparentheses.Multiplication of PolynomialsThis objective will cover multiplication of polynomials as well as removal of parentheses.Greatest Common Factor and Factoring MonomialsThis objective covers factoring of monomials by using the Greatest Common Factor method.Factoring TrinomialsThis objective covers the factoring of trinomials, by arranging terms in descending degree and inspectionof signs to locate signs in the factors.Factoring Trinomials by GroupingThis objective covers polynomials with four or more terms, the method of factoring by grouping is used.Factoring BinomialsThis objective covers factoring binomials in the case of the difference of two perfect squares and thesum or difference of two cubes. The binomials which reduce to these cases after factorization of thegreatest common factor is applied.General FactoringThis objective covers factoring polynomials in general. In the case of binomials the difference of twoperfect squares and the sum or difference of two cubes as well as binomials which can be treated bythese methods are covered. In the case of trinomials the method of arranging terms in order ofdecreasing degree in order to determine the signs of the terms in the factors is covered. For polynomialswith more than three terms factoring by grouping is covered. Polynomials in more than one variable arealso covered.Solving Quadratic Equations by FactoringThis objective covers solving quadratic equations by factoringMultiplication and Division of Rational ExpressionsThis objective covers multiplication and division of rational expressions as well as reducing to lowestterms by factoring both numerator and denominator. In case of multiplication the use of cancellationbefore multiplication to simplify work is covered. The problems covered are at the Algebra II level.

6Addition and Subtraction of Rational Expressions (Common Denominators)This objective will cover the addition and subtraction of rational expressions with commondenominators.Addition and Subtraction of Rational Expressions (Different Denominators)This objective will cover the addition and subtraction of rational expressions by finding the leastcommon denominator after factoring all denominators.Complex FractionsThis objective covers complex fractions and the short method of simplification by multiplying numeratorand denominator by the least common denominator of all denominators in the terms of the numeratorand denominator of the complex fraction. This objective also covers complex fractions in which negativeexponents appear.Division of Rational ExpressionsThis objective covers the simplification of rational expressions.Division of Rational Expressions (Synthetic Division)This objective covers the simplification of rational expressions by using synthetic and long division ofpolynomials to divide the numerator by the denominator when the numerator has higher degree thanthe denominator.Equations Involving Rational ExpressionsThis objective covers methods for solving equations involving rational expressions which can be reducedto either linear or quadratic equations on multiplication of both sides of the equation by the leastcommon denominator of all denominators in the equation. The notion of elimination of extraneousroots or solutions by checking all solutions in the original equation is also covered. The problemscovered are at the level of Algebra II.Modeling Applications with Rational ExpressionsThis objective covers a variety of models that arise which lead to equations involving rationalexpressions. In particular, problems involving distance, rate and time, as well as word problems arecovered. Also covered are problems with literal equations.Rational ExponentsThis objective covers the meaning and usage of rational exponents and the simplification of algebraicexpressions using the laws of exponents when rational exponents are involved. The problems coveredhere are at the Algebra II level of difficulty.

7Simplifying RadicalsThis objective covers the simplification of algebraic expressions involving radicals.Simplifying Radicals (Fractional Exponents)This objective covers the equivalence of radicals with fractional exponents as well as rationalizingdenominators where these radicals are encountered in denominators.Addition and Subtraction of Radical ExpressionsThis objective covers the simplification of algebraic expressions with several terms involving radicals.The method of extraction of perfect roots from the various terms followed by collecting like terms iscovered.Multiplication of Radical ExpressionsThis objective covers multiplication of radical expressions and their simplification by extracting perfectroots. This objective also covers rationalizing radical expressions with binomial denominators bymultiplying numerator and denominator by the appropriate conjugate of the denominator.Division of Radical ExpressionsThis objective covers division of radical expressions and their simplification by extracting perfect roots.This objective also covers rationalizing radical expressions with binomial denominators by multiplyingnumerator and denominator by the appropriate conjugate of the denominator.Radical EquationsThis objective covers the solution of equations with terms containing radicals via successive isolation ofradicals and their removal by raising both sides of the equation to the appropriate power. The removalof extraneous solutions from the solution set by checking all solutions in the original equation is alsocovered.Quadratic Equations Solved by FactoringThis objective covers a variety of equations, involving various previously studied algebraic expressions,which are reducible to quadratic equations which can then be solved by factoring. This objective alsocovers the method of solving equations by substituting new symbols for expressions which appearrepeatedly in the same equation.Solving Quadratic Equations by the Completing the SquareThis objective covers the solution of quadratic equations in which the unknowns can be collected into asingle term which is the square of a binomial and then are solvable directly by roots. The technique ofcompleting the square is covered to show that the preceding form can always be obtained.

8Solving Quadratic Equations by using the Square Root PropertyThis objective covers the solution of quadratic equations in which the unknowns can be collected into asingle term which is the square of a binomial and then are solvable directly by roots. The technique ofcompleting the square is covered to show that the preceding form can always be obtained.Solving Quadratic Equations by the Quadratic FormulaThis objective covers the quadratic formula and its use in solving quadratic equations. This objective alsocovers the rearrangement of any quadratic into standard form to facilitate identification of appropriatecoefficients as to their proper place in the quadratic formula for computation of solutions.Modeling Applications with Quadratic EquationsThis objective covers various applications which lead to equations which after rearrangement andsimplification become reduced to quadratic equations. This objective also covers the PythagoreanTheorem and applications to perimeter and area problems.Distance and SlopeThis objective covers the calculation of the distance between pairs of points with given coordinates aswell as the slope of the line objective connecting them.InterceptsThis objective covers the rectangular coordinate system and intercept for linear equations in twounknowns.Equations of Straight Lines: Finding Slope of a LineThis objective covers the slope‐intercept and point‐slope form for the equation of a line. Therelationship of a slope to steepness and methods of calculating slope via rise over run.Equations of Straight Lines: Using the Slope‐Intercept FormThis objective covers the slope‐intercept and point‐slope form for the equation of a line. This objectivewill show how to rearrange the points into slope‐intercept form.Equations of Straight Lines: Finding Perpendicular and Parallel LinesThis objective covers the slope‐intercept and point‐slope form for the equation of a line. This objectivealso covers how to find an equation that is perpendicular to another line.

9Domain and Range of a RelationThis objective covers graphing of linear inequalities by the technique of graphing the boundary lines andusing test points off of the boundary lines to decide which regions to shade or include. This objectivealso covers finding the domain and range.Function, a Type of RelationThis objective covers graphing of linear inequalities by the technique of graphing the boundary lines andusing test points off of the boundary lines. This objective also covers how to determine if a line is afunction or not.Graphing Linear Inequalities in Two VariablesThis objective covers graphing of linear inequalities by the technique of graphing the boundary lines andusing test points off of the boundary lines to decide which regions to shade or include.Graphing the Intersection of Two Linear InequalitiesThis objective covers graphing the intersection of two linear inequalities by the technique of graphingthe boundary lines and using test points off of the boundary lines to decide which regions to shade orinclude.Simultaneous Equations: Using Addition MethodThis objective covers the solution of systems of linear equations using the addition method.Simultaneous Equations: Using Substitution MethodThis objective covers the solution of systems of linear equations using the substitution method.Simultaneous Equations: Using Elimination MethodThis objective covers the solution of systems of linear equations using the elimination method.

10Topics covered by Ascend Math Algebra II include:exponents,solving linear equations and inequalitiessolving applicationsmodeling with functionspolynomialsfactoringrational expressionscomplex fractionsgraphing linear equations and inequalitiesradicalsrational exponentssolving quadratic equationsAbout Ascend Math Ascend Math is a research based instructional resource in which students have proven to achieve two ormore grade level gains in a six month period. This web delivered individualized intervention resourceidentifies skill gaps, prescribes targeted instruction, and motivates students to achieve their maximumperformance and potential.Ascend Math offers intensive math * intervention instructional resources, addresses multiple learningmodalities by delivering video instruction, student-centered concept explorations, interactive practice withimmediate feedback and opportunities for re-teaching, and printable resources.Ascend’s fully automated solution reduces the demands on teachers’ time. Ascend’s approach supportsimproved math achievement regardless of students’ reading levels. This resource provides importantsupport for ESE, ESOL and students with special needs through the use of video, audio, and multimediacomponents. Ascend’s reports will assist in simplifying progress monitoring and helping meet Federalaudit guidelines.K-Algebra II study plans align, by grade level, to National Council of Teachers of Mathematics (NCTM)standards, Core Curriculum and state standards. Instruction is delivered in a logical math sequence andstudents can progress at their own pace and track their own progress and success. Ascend Math iscurrently used by hundreds of schools and districts serving tens of thousands of students throughout the U.S. andCanada.Visit www.AscendMath.comwww.ascendmath.com302 Albany Avenue Shreveport, LA 71105Toll Free (877) 843‐0277 Fax (318) 865‐6227 International (318) 865‐8232Ascend Education

Factoring Trinomials This objective covers the factoring of trinomials, by arranging terms in descending degree and inspection of signs to locate signs in the factors. Factoring Trinomials by Grouping This objective covers polynomials with four or more terms, the method of factoring

Related Documents:

May 02, 2018 · D. Program Evaluation ͟The organization has provided a description of the framework for how each program will be evaluated. The framework should include all the elements below: ͟The evaluation methods are cost-effective for the organization ͟Quantitative and qualitative data is being collected (at Basics tier, data collection must have begun)

Silat is a combative art of self-defense and survival rooted from Matay archipelago. It was traced at thé early of Langkasuka Kingdom (2nd century CE) till thé reign of Melaka (Malaysia) Sultanate era (13th century). Silat has now evolved to become part of social culture and tradition with thé appearance of a fine physical and spiritual .

On an exceptional basis, Member States may request UNESCO to provide thé candidates with access to thé platform so they can complète thé form by themselves. Thèse requests must be addressed to esd rize unesco. or by 15 A ril 2021 UNESCO will provide thé nomineewith accessto thé platform via their émail address.

̶The leading indicator of employee engagement is based on the quality of the relationship between employee and supervisor Empower your managers! ̶Help them understand the impact on the organization ̶Share important changes, plan options, tasks, and deadlines ̶Provide key messages and talking points ̶Prepare them to answer employee questions

Dr. Sunita Bharatwal** Dr. Pawan Garga*** Abstract Customer satisfaction is derived from thè functionalities and values, a product or Service can provide. The current study aims to segregate thè dimensions of ordine Service quality and gather insights on its impact on web shopping. The trends of purchases have

Chính Văn.- Còn đức Thế tôn thì tuệ giác cực kỳ trong sạch 8: hiện hành bất nhị 9, đạt đến vô tướng 10, đứng vào chỗ đứng của các đức Thế tôn 11, thể hiện tính bình đẳng của các Ngài, đến chỗ không còn chướng ngại 12, giáo pháp không thể khuynh đảo, tâm thức không bị cản trở, cái được

- private.filesanywhere.com . ASCEND CV – IT Guidelines ASCEND CV Release 7.0 Business Confidential to ASCEND HIT LLC Version 7.0 9 . Port b Direction Protocols Default fil Purpose. 1433 . Out . TCP . Domain, Private Database connection

Le genou de Lucy. Odile Jacob. 1999. Coppens Y. Pré-textes. L’homme préhistorique en morceaux. Eds Odile Jacob. 2011. Costentin J., Delaveau P. Café, thé, chocolat, les bons effets sur le cerveau et pour le corps. Editions Odile Jacob. 2010. Crawford M., Marsh D. The driving force : food in human evolution and the future.