عنوان

Mathematics in action. Prealgebra problem solving

(Number (ISBN

0321692829

(Number (ISBN

0321698592

(Number (ISBN

9780321692825

(Number (ISBN

9780321698599

Number

b605564

Title Proper

Mathematics in action. Prealgebra problem solving

General Material Designation

[Book]

First Statement of Responsibility

the Consortium for Foundation Mathematics.

Edition Statement

3rd ed

Place of Publication, Distribution, etc.

Boston

Name of Publisher, Distributor, etc.

Pearson Education

Date of Publication, Distribution, etc.

©2012.

Specific Material Designation and Extent of Item

xx, 547 : color illustrations ; 28 cm

Text of Note

Includes index.

Text of Note

1. Whole numbers --; Read and write whole numbers --; 1.1. Education pays --; Compare whole numbers using inequality symbols --; Round whole numbers to specified place values --; Use rounding for estimation --; Classify whole numbers as even or odd, prime, or composite --; Solve problems involving whole numbers --; 1.2. Bald eagle population increasing again --; Read tables --; Read bar graphs --; Interpret bar graphs --; Construct graphs --; 1.3. Bald eagles revisited --; Add whole numbers by hand and mentally --; Subtract whole number by hand and mentally --; Estimate sums and differences using rounding --; Recognize the associative property and the commutative property for addition --; Translate a written statement into an arithmetic expression --; 1.4. Summer camp --; Multiply whole numbers and check calculations using a calculator --; Multiply whole numbers using the distributive property --; Estimate the product of whole numbers by rounding --; Recognize the associative and commutative properties for multiplication --; 1.5. College supplies --; Divide whole numbers by grouping --; Divide whole numbers by hand and by calculator --; Estimate the quotient of whole numbers by rounding --; Recognize that division is not commutative --; 1.6. Reach for the stars --; Use exponential notation --; Factor whole numbers --; Determine the prime factorization of a whole number --; Recognize square numbers and roots of square numbers --; Recognize cubed numbers --; Apply the multiplication rule for numbers in exponential form with the same base --; You and your calculator --; Use order of operations to evaluate arithmetic expressions. 2. Variables and problem solving --; 2.1. How much do I need to buy? --; Recognize and understand the concept of a variable in context and symbolically --; Translate a written statement (verbal rule) into a statement involving variables (symbolic rule) --; Evaluate variable expressions --; Apply formulas (area, perimeter, and others) to solve contextual problems --; 2.2. How high will it go? --; Recognize the input / output relationship between variables in a formula or equation (two variables only) --; Generate a table of input and corresponding output values from a given equation, formula, or situation --; Read, interpret, and plot points in rectangular coordinates that are obtained from evaluating a formula or equation --; 2.3. Are you balanced? --; Translate contextual situations and verbal statements into equations --; Apply the fundamental principle of equality to solve equations of the forms x + a = b, a + x = b and x --; a = b --; 2.4. How far will you go? How long will it take? --; Apply the fundamental principle of equality to solve equations in the form ax = b, a does not equal o --; Translate contextual situations and verbal statements into equations --; Use the relationship rate . time = amount in various contexts --; 2.5. Web devices for sale --; Identify like terms --; Combine like terms using the distributive property --; Solve equations of the form ax + bx = c --; 2.6. Make me an offer --; Use the basic steps for problem solving --; Translate verbal statements into algebraic equations --; Use the basic principles of algebra to solve real-world problems. 3. Problem solving with integers --; 3.1. On the negative side --; Recognize integers --; Represent quantities in real-world situations using integers --; Represent integers on the number line --; Compare integers --; Calculate absolute values of integers --; 3.2. Maintaining your balance --; Add and subtract integers --; Identify properties of addition and subtraction of integers --; 3.3. What's the bottom line? --; Write formulas from verbal statements --; Evaluate expressions in formulas --; Solve equations of the form x + b = c and b --; x = c --; Solve formulas for a given variable --; 3.4. Riding in the wind --; Translate verbal rules into equations --; Determine an equation from a table of values --; Use a rectangular coordinate system to represent and equation graphically --; 3.5. Are your physically fit? --; Multiply and divide integers --; Perform calculations that involve a sequence of operations --; Apply exponents to integers --; Identify properties of calculations that involve multiplication and division with zero --; 3.6. Integers and Tiger Woods --; Use order of operations with expressions that involve integers --; Apply the distributive property --; Evaluate algebraic expressions and formulas using integers --; Combine like terms --; Solve equations of the form ax -b, where a does not equal o, that involve integers --; Solve equations of the form ax + bx = c, where a + b does not equal o, that involve integers. 4. Problem solving with fractions --; 4.1. Are you hungry? --; Identify the numerator and the denominator of a fraction --; determine the greatest common factor (GCF) --; Determine equivalent fractions --; Reduce fractions to equivalent fractions in lowest terms --; Determine the least common denominator (LCD) of two or more fractions --; Compare fractions --; 4.2. Get your homestead land --; Multiply and divide fractions --; Recognize the sign of a fraction --; Determine the reciprocal of a fraction --; Solve equations of the form ax = b, a does not equal o, that involve fractions --; 4.3. On the road with fractions --; Add and subtract fractions with the same denominator --; Add and subtract fractions with different denominators --; Solve equations in the form x + b = c and x --; b = c that involve fractions --; 4.4. Hanging with fractions --; Calculate powers and square roots of fractions --; Evaluate equations that involve powers --; Evaluate equations that involve square roots --; Use order of operations to calculate numerical expressions that involve fractions --; Use the distributive property with fractions --; Solve equations of the form ax + bx = c with fraction coefficients. 5. Problem solving with mixed numbers and decimals --; Mixed numbers and improper fractions --; 5.1. Food for thought --; Determine equivalent fractions --; Add and subtract fractions and mixed numbers with the same denominator --; Convert mixed numbers to improper fractions and improper fractions to mixed numbers --; 5.2. Mixing with denominators --; Determine the least common denominator (LCD) for two or more mixed numbers --; Add and subtract mixed numbers with different denominators --; Solve equations in the form x + b = c and x --; b = c that involve mixed numbers --; 5.3. Tiling the bathroom --; Multiply and divide mixed numbers --; Evaluate expressions with mixed numbers --; Calculate the square root of a mixed number --; Solve equations of the form ax + b = o, a does not equal o, that involve mixed numbers --; Decimals --; 5.4. What are you made of? --; Identify place values of numbers written in decimal form --; Convert a decimal to a fraction or a mixed number, and vice versa --; Classify decimals --; Compare decimals --; Read and write decimals --; Round decimals --; 5.5. Dive into decimals --; Add and subtract decimals --; Compare and interpret decimals --; Solve equations of the type x + b = c and x --; b = c that involve decimals --; 5.6. Quality points and GPA: tracking academic standing --; Multiply and divide decimals --; Estimate products and quotients that involve decimals --; 5.7. Tracking temperature --; Use the order of operations to evaluate expressions that include decimals --; Use the distributive property in calculations that involve decimals --; Evaluate formulas that include decimals --; Solve equations of the form ax = b and ax + bx = c that involve decimals --; 5.8 Think metric --; Know the metric prefixes and their decimal values --; Convert measurements between metric quantities. 6. Problem solving with ratios, proportions, and percents --; 6.1. Everything is relative --; Understand the distinction between actual and relative measure --; Write a ration in its verbal, fraction, decimal and percent formats --; 6.2.

Text of Note

Four out of five dentists prefer the Brooklyn Dodgers? --; Recognize that equivalent fractions lead to a proportion --; Use a proportion to solve a problem that involves ratios --; 6.3. The devastation of AIDS in Africa --; Use proportional reasoning to apply a known ratio to a given piece of information --; Write an equation using the relationship ratio times total = part and then solve the resulting equation --; 6.4. Who really did better? --; Define actual and relative change --; Distinguish between actual and relative change --; 6.5. Don't forget the sales tax --; Define and determine decay factors --; Use growth factors in problems that involve percent increases --; 6.6. It's all on sale! --; Define and determine decay factors --; Use decay factors in problems that involve percent decreases --; 6.7. Take an additional 20% off --; Apply consecutive growth and / or decay factors to problems that involve two or more percent changes --; 6.8. Fuel economy --; Apply rates directly to solve problems --; Use proportions to solve problems that involve rates --; Use unit analysis or dimensional analysis to solve problems that involve consecutive rates. 7. Problem solving with geometry --; 7.1. Walking around bases, gardens, and other figures --; Recognize perimeter as a geometric property of plane figures --; Write formulas for, and calculate perimeters of, squares, rectangles, triangles, parallelograms, trapezoids, and polygons --; Use unit analysis to solve problems that involve perimeters --; 7.2. Circles are everywhere --; Develop and use formulas for calculating circumferences of circles --; 7.3. Lance Armstrong and you --; Calculate perimeters of many-sided plane figures using formulas and combinations of formulas --; Use unit analysis to solve problems that involve perimeters --; 7.4. Baseball diamonds, gardens, and other figures revisited --; Write formulas for areas of squares, rectangles, parallelograms, triangles, trapezoids, and polygons --; Calculate areas of polygons using appropriate formulas --; 7.5. How big is that circle? Develop formulas for the area of a circle --; Use the formulas to determine areas of circles --; 7.6. A new pool and other home improvements --; Solve problems in context using geometric formulas --; Distinguish between problems that require area formulas and those that require perimeter formulas --; 7.7. How about Pythagoras? --; Verify and use the Pythagorean Theorem for right triangles --; Calculate the square root of numbers other than perfect squares --; Use the Pythagorean Theorem to solve problems --; Determine the distance between two points using the distance formula --; 7.8. Painting your way through summer --; Recognize geometric properties of three-dimensional figures--; Write formulas for and calculate surface ares of rectangular prisms (boxes), right circular cylinders (cans), and spheres (balls) --; 7.9. Truth in labeling --; Write formulas for and calculate volumes of rectangular prisms (boxes) and right circular cylinders (cans) --; Recognize geometric properties of three-dimensional figures. 8. Problem solving with mathematical models --; 8.1. A model of fitness --; Describe a mathematical situation as a set of verbal statements --; Translate verbal rules into symbolic equations --; Solve problems that involve equations of the form y = ax + b --; Solve equations of the form y = ax + b for the input x --; Evaluate the expression ax + b in an equation of the form y = ax + b to obtain the output y --; 8.2. Comparing energy costs --; Write symbolic equations from information organized in a table --; Produce tables and graphs to compare outputs from two different mathematical models --; Solve equations of the form ax + b = cx + d --; 8.3. Mathematical modeling --; Develop an equation to model and solve a problem --; Solve problems using formulas as models --; Recognize patterns and trends between two variables using a table as a model --; Recognize patterns and trends between two variables using a graph as a model.

Parallel Title

Prealgebra problem solving

Mathematics.

Class number

Book number

the Consortium for Foundation Mathematics.

Consortium for Foundation Mathematics.

Electronic name

[Book]

Y