Mathematics In Action

An Introduction to Algebraic, Graphical, Numerical

Häftad, Engelska, 2015

3 899 kr

Slutsåld

In the Mathematics in Action series, students discover mathematical concepts through activities and applications that demonstrate how math applies to their everyday lives. Different from most math books, this series teaches through activities—encouraging students to learn by constructing, reflecting on, and applying the mathematical concepts. The user-friendly approach instills confidence in even the most reticent math students and shows them how to interpret data algebraically, numerically, symbolically, and graphically. The active style develops mathematical literacy and critical thinking skills. Updated examples, brand-new exercises, and a clearer presentation make the Fifth Edition of this text more relevant than ever to today’s students.Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for:0321985885 / 9780321985880 Math in Action: An Introduction to Algebraic, Graphical, and Numerical Problem Solving, Plus MyMathLab -- Access Card PackagePackage consists of: 0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card0321654064 / 9780321654069 MyMathLab Inside Star Sticker0321969936 / 9780321969934 Mathematics in Action: An Introduction to Algebraic, Graphical, and Numerical Problem Solving Students, if interested in purchasing this title with MyMathLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

Produktinformation

Utgivningsdatum2015-01-13
Mått215 x 280 x 20 mm
Vikt1 260 g
FormatHäftad
SpråkEngelska
Upplaga5
FörlagPearson Education (US)
ISBN9780321969934

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1. Introduction to Problem Solving1.1 The Bookstore1.1.1 Practice communication skills1.1.2 Organize information1.1.3 Write a solution in sentences1.1.4 Develop problem-solving skills1.2 The Classroom1.2.1 Organize information1.2.2 Develop problem-solving strategies: Draw a picture, Recognize a pattern, Do a simpler problem1.2.3 Communicate problem-solving ideas1.3 Properties of Arithmetic1.3.1 Identify and use the commutative property in calculations.1.3.2 Use the associative property to evaluate arithmetic expressions1.3.3 Use the order of operations convention to evaluate arithmetic expressions1.3.4 Identify and use the properties of exponents in calculations1.3.5 Convert numbers to and from scientific notation1.4 Top Chef1.4.1 Add and Subtract Fractions1.4.2 Multiply and Divide Fractions1.5 Course Grades and Your GPA1.5.1 Recognize and Calculate a Weighted Average1.5.2 Express Fractions in Decimal Format1.6 Everything is Relative1.6.1 Distinguish between absolute and relative measure1.6.2 Write ratios in fraction, decimal, and percent formats1.6.3 Determine equivalence of ratios1.7 The Devastation of AIDS in Africa1.7.1 Use proportional reasoning to apply a known ratio to a given piece of information1.8 Who Really Did Better?1.8.1 Define actual and relative change1.8.2 Distinguish between actual and relative change1.8.3 Calculate relative change as a percent increase or percent decrease1.9 Going Shopping1.9.1 Define growth factor1.9.2 Define growth factors from percent increases1.9.3 Apply growth factors to problems involving percent increases1.9.4 Define decay factor1.9.5 Determine decay factors from percent decreases1.9.6 Apply decay factors to problems involving percent decreases1.10 Take an Additional 20% Off1.10.1 Define consecutive growth and decay factors1.10.2 Determine a consecutive growth or decay factor from two or more consecutive percent changes1.10.3 Apply consecutive growth and/or decay factors to solve problems involving percent changes1.11 Fuel Economy1.11.1 Apply rates directly to solve problems1.11.2 Use unit or dimensional analysis to solve problems that involve consecutive rates1.12 Celsius Thermometers1.12.1 Identify signed numbers1.12.2 Use signed numbers to represent quantities in real-world situations1.12.3 Compare signed numbers1.12.4 Calculate the absolute value of numbers1.12.5 Identify and use properties of addition and subtraction of signed numbers1.12.6 Add and subtract signed numbers using absolute value1.13 Shedding the Extra Pounds1.13.1 Multiply and divide signed numbers1.14 Order of Operations Revisited1.14.1 Use the order of operations convention to evaluate expressions involving signed numbers1.14.2 Evaluate expressions that involve negative exponents1.14.3 Distinguish between such expressions as -5^4 and (-5)^41.14.4 Write very small numbers in scientific notation2. Variable Sense2.1 Symbolizing Arithmetic2.1.1 Generalize from an arithmetic calculation to a symbolic representation by utilizing variables2.1.2 Evaluate algebraic expressions2.2 Blood Alcohol Levels2.2.1 Identify input and output in situations involving two variable quantities2.2.2 Determine the replacement values for a variable within a given situation2.2.3 Represent and interpret an input/output relationship algebraically by formula, numerically as data pairs in a table and graphically as points on a graph2.3 College Expenses2.3.1 Write verbal rules that represent relationships between input and output variables2.3.2 Translate verbal rules into symbolic rules2.3.3 Determine input/output values from a graph2.4 Are They the Same?2.4.1 Identify equivalent algebraic expressions by examining their outputs2.4.2 Identify equivalent algebraic expressions by comparing their graphs2.4.3 Write algebraic expressions that involve grouping symbols2.5 Let's Go Shopping2.5.1 Solve an equation of the form ax = b, a ≠ 0, for x using an algebraic approach2.5.2 Solve an equation of the form x + a = b for x using an algebraic approach2.5.3 Use the four-step process to solve problems2.6 Leasing a Copier2.6.1 Model contextual situations with symbolic rules of the form y = ax + b, a ≠ 02.6.2 Solve equations of the form ax + b = c, a ≠ 02.7 The Algebra of Weather2.7.1 Solve a formula for a specific variable2.8 Four out of Five Dentists Prefer Crest2.8.1 Recognize that equivalent fractions lead to proportions2.8.2 Use proportions to solve problems involving ratios and rates2.9 Do it Two Ways2.9.1 Apply the distributive property2.9.2 Use areas of rectangles to interpret the distributive property geometrically2.9.3 Identify the greatest common factor in an expression2.9.4 Factor out the greatest common factor in an expression2.9.5 Recognize like terms2.9.6 Simplify an expression by combining like terms2.10 Decoding2.10.1 Recognize an algebraic expression as a code of instruction2.10.2 Simplify algebraic expressions2.11 Comparing Energy Costs2.11.1 Develop mathematical models to solve problems2.11.2 Write and solve equations of the form ax + b = cx + d, where a ≠ 0 and c ≠ 02.11.3 Use the distributive property to solve equations involving grouping symbols2.11.4 Solve formulas for a specified variable2.12 Summer Job Opportunities2.12.1 Use problem solving skills to make decisions based on solutions of mathematical models3. Function Sense and Linear Functions3.1 Gold, Silver, and Bronze3.1.1 Use the input-output concepts to define a function3.1.2 Identify a functional relationship between two variables3.1.3 Identify the independent and dependent variables3.1.4 Use function notation to express the input-output correspondence of a function3.1.5 Identify the domain and range of a function3.1.6 Expand the rectangular coordinate system to include all four quadrants in the plane3.1.7 Represent functions in tabular and graphical forms3.2 How Fast Did You Lose?3.2.1 Determine the average rate of change of an output variable with respect to the input variable3.3 Symbolically Defined Functions and their Graphs3.3.1 Define functions by symbolic rules3.3.2 Recognize that an output value is determined by evaluating the symbolic rule3.3.3 Recognize that an input value is determined by solving an associated equation3.3.4 Understand the connection between the input-output pairs generated by the symbolic rule and the plotted points that form its graph3.3.5 Understand the connection between the average rates of change of a function and the shape of its graph3.3.6 Explore and compare the algebraic and graphical methods for evaluating a function3.3.7 Explore and compare the algebraic and graphical methods for solving an associated equation3.4 Course Grade3.4.1 Determine the symbolic rule that defines a function3.4.2 Identify the practical domain and range of a functionCluster 2: Introduction to Linear Functions3.5.1 Identify linear functions by a constant average rate of change of the output variable with respect to the input variable3.5.2 Interpret the slope as an average rate of change3.5.3 Determine the slope of a nonvertical line drawn through two points3.5.4 Identify increasing and decreasing linear functions using slope3.5.5 Determine horizontal and vertical intercepts of a linear function from its graph3.5.6 Interpret the meaning of horizontal and vertical intercepts in a contextual situations3.6 Software Sales3.6.1 Identify whether a situation can be represented by a linear function3.6.2 Write an equation of a line in slope-intercept form3.6.3 Use the y-intercept and the slope to graph a linear function3.6.4 Determine horizontal intercepts of linear functions using an algebraic approach3.6.5 Use intercepts to graph a linear function3.6.6 Identify parallel lines3.7 Predicting Populations3.7.1 Use the slope-intercept form of linear equations to solve problems3.7.2 Determine the relative error in a measurement or prediction using a linear model3.8 College Tuition3.8.1 Determine the equation for a linear function when given two points, neither of which is the vertical intercept3.8.2 Use the point-slope form, y - y1 = m1x - x12, to write the equation of a nonvertical line3.8.3 Identify lines having zero or undefined slopes3.8.4 Determine the equation of horizontal and vertical lines3.9 Education Pays3.9.1 Recognize when patterns of points in a scatterplot are approximately linear3.9.2 Estimate and draw a line of best fit through a set of points in a scatterplot3.9.3 Use technology to determine a line of best fit by the least-squares method3.9.4 Estimate the error of representing a set of data by a line of best fit3.10 Body Parts3.10.1 Collect and organize data in a table3.10.2 Recognize linear patterns in paired data3.11 Smartphone Plan Options3.11.1 Solve a system of two linear equations numerically3.11.2 Solve a system of two linear equations graphically3.11.3 Solve a system of two linear equations using the substitution method3.11.4 Recognize the connections between the three methods of solutions3.11.5 Interpret the solution to a system of two linear equations in terms of the problem's content3.12 Healthy Lifestyle3.12.1 Solve a system of two linear equations algebraically using the substitution method3.12.2 Solve a system of two linear equations algebraically using the addition (or elimination) method3.13 Modeling a Business3.13.1 Solve a system of two linear equations by any method3.13.2 Define and interpret the break-even point as the point at which the cost and revenue functions are equal3.13.3 Determine the break-even point of a linear cost and revenue system algebraically and graphically3.14 How Long Can You Live?3.14.1 Use properties of inequalities to solve linear inequalities in one variable algebraically4. An Introduction to Nonlinear Problem Solving4.1 Fatal Crashes4.1.1 Identify polynomials and polynomials functions4.1.2 Classify a polynomial as a monomial, binomial, or trinomial4.1.3 Determine the degree of a polynomial4.1.4 Simplify a polynomial by identifying and combining like terms4.1.5 Add and subtract polynomials4.1.6 Evaluate and interpret polynomials4.2 Volume of a Storage Box4.2.1 Use properties of exponents to simplify expressions and combine powers that have the same base4.2.2 Use the distributive property and properties of exponents to write expressions in expanded form4.3 Room for Work4.3.1 Expand and simplify the product of two binomials4.3.2 Expand and simplify the product of any two polynomials4.3.3 Recognize and expand the product of conjugate binomials: difference of squares4.3.4 Recognize and expand the product of identical binomials: perfect-square trinomials4.4 The Amazing Property of Gravity4.4.1 Evaluate quadratic functions of the form y = ax24.4.2 Graph quadratic functions of the form y = ax24.4.3 Interpret the coordinates of points on the graph of y = ax2 in context4.4.4 Solve a quadratic equation of the form ax2 = c graphically4.4.5 Solve a quadratic equation of the form ax2 = c algebraically by taking square roots.4.4.6 Solve a quadratic equation of the form (x±a)2 = c algebraically by taking square roots4.5 What Goes Up, Comes Down4.5.1 Evaluate quadratic functions of the form y = ax2 + bx, a ≠ 04.5.2 Graph quadratic functions of the form y = ax2 + bx, a ≠ 04.5.3 Identify the x-intercepts of the graph of y = ax2 + bx graphically and algebraically4.5.4 Interpret the x-intercepts of a quadratic function in context4.5.5 Factor a binomial of the form ax2 + bx4.5.6 Solve an equation of the form ax2 + bx = 0 using the zero-product property4.6 How High Did it Go?4.6.1 Recognize and write a quadratic equation in standard form, ax2 + bx + c = 0,a ≠ 04.6.2 Factor trinomials of the form x2 + bx + c4.6.3 Solve a factorable quadratic equation of the form x2 + bx + c = 0 using the zero-product property4.6.4 Identify a quadratic function from its algebraic form.4.7 More Ups and Downs4.7.1 Use the quadratic formula to solve quadratic equations4.7.2 Identify the solutions of a quadratic equation with points on the corresponding graph4.8 Inflation4.8.1 Recognize an exponential function as a rule for applying a growth factor or a decay factor4.8.2 Graph exponential functions from numerical data4.8.3 Recognize exponential functions from equations4.8.4 Graph exponential functions from equations4.9 A Thunderstorm4.9.1 Recognize the equivalent forms of the direct variation statement4.9.2 Determine the constant of proportionality in a direct variation problem4.9.3 Solve direct variation problems4.10 Diving Under Pressure, or Don't Hold Your Breath4.10.1 Recognize functions of the form y = k/x , x ≠ 0, as nonlinear4.10.2 Recognize equations of the form xy = k as inverse variation4.10.3 Graph an inverse variation relationship from symbolic rules4.10.4 Solve equations of the form a/x = b, x ≠ 04.10.5 Identify functions of the form y = k / x2, x ≠ 0, as an inverse variation relationship4.11 Hang Time4.11.1 Recognize functions of the form y = a √(x) as nonlinear4.11.2 Evaluate and solve equations that involve square roots4.11.3 Graph square root functions from numerical data4.11.4 Graph square root functions from symbolic rulesAppendicesA. FractionsB. DecimalsC. Skills ChecksD. Algebraic ExtensionsE. Getting Started with the TI-84 Plus Family of CalculatorsSelected AnswersGlossaryIndex