pre-algebra - mcdougal littell€¦ · · 2006-12-07pre-algebra correlated to mcdougal littell...

correlated to

UtahCore Curriculumfor Mathematics

Pre-Algebra

Utah Core Curriculum for Mathematics

Pre-Algebra

correlated to

McDougal Littell Math, Course 3 ©2007



Chapter 1 Number Sense, Patterns and Algebraic Thinking (pp. 1 - 53) Lesson 1.1 (pp. 3 – 7) Interpreting Graphs

5.1.b Organize and display data using graphical representations such as line plots, bar graphs, stem-and-leaf plots, histograms, scatter plots, circle graphs, box plots (box-and-whisker plots), and pictographs. 5.1.c Make conjectures from a graphical representation.

Lesson 1.2 (pp. 8 – 12) ALGEBRA: Order of Operations

1.1.b Add, subtract, multiply, and divide integers using the order of operations.

Lesson 1.3 (pp. 13 – 18) ALGEBRA: Variables and Expressions

1.1.b Add, subtract, multiply, and divide integers using the order of operations. 2.2.a Evaluate algebraic expressions when given values for the variable(s).

Lesson 1.4 (pp. 19 – 25) ALGEBRA: Powers and Exponents

1.1.b Add, subtract, multiply, and divide integers using the order of operations. 2.1.b Describe simple patterns using a mathematical rule or algebraic expression. 2.1.c Create and extend simple numeric and visual patterns, including those that have a recursive nature (e.g., Fibonacci numbers, triangular and square numbers). 2.2.a Evaluate algebraic expressions when given values for the variable(s). 5.1.b Organize and display data using graphical representations such as line plots, bar graphs, stem-and-leaf plots, histograms, scatter plots, circle graphs, box plots (box-and-whisker plots), and pictographs.

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Utah Core Curriculum for Mathematics: Pre-Algebra correlated to McDougal Littell Math, Course 3 ©2007

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Lesson 1.5 (pp. 26 – 31) ALGEBRA: Equations and Solutions

1.1.b Add, subtract, multiply, and divide integers using the order of operations. 2.2.a Evaluate algebraic expressions when given values for the variable(s).

Lesson 1.6 (pp. 32 – 36) ALGEBRA: Variables in Familiar Formulas

Lesson 1.7 (pp. 37 – 44) A Problem Solving Plan

1.1.b Add, subtract, multiply, and divide integers using the order of operations. 2.1.b Describe simple patterns using a mathematical rule or algebraic expression. 2.1.c Create and extend simple numeric and visual patterns, including those that have a recursive nature (e.g., Fibonacci numbers, triangular and square numbers). 2.3.e Identify information as pertinent or extraneous within the context of the original problem.


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Chapter 2 Integer Operations (pp. 54 - 111) Lesson 2.1 (pp. 57 – 61) Integers and Absolute Value

1.2.b Find an approximate location of a rational number on a number line. 1.3.a Compare and order rational numbers. 1.4.a Recognize absolute value of a rational number as the value of its distance from zero. 1.4.b Evaluate numerical and algebraic expressions containing absolute value. 2.2.a Evaluate algebraic expressions when given values for the variable(s).

Lesson 2.2 (pp. 62 – 67) Adding Integers

1.1.a Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.b Add, subtract, multiply, and divide integers using the order of operations. 1.3.a Compare and order rational numbers. 1.3.b Identify the effects of arithmetic operations among fractions, decimals, percents, and integers; e.g., multiplying or dividing by a number larger or smaller than 1.

Lesson 2.3 (pp. 68 – 72) Subtracting Integers

1.1.a Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.b Add, subtract, multiply, and divide integers using the order of operations. 1.3.b Identify the effects of arithmetic operations among fractions, decimals, percents, and integers; e.g., multiplying or dividing by a number larger or smaller than 1. 2.1.c Create and extend simple numeric and visual patterns, including those that have a recursive nature (e.g., Fibonacci numbers, triangular and square numbers). 2.2.a Evaluate algebraic expressions when given values for the variable(s).


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Lesson 2.4 (pp. 73 – 76) Multiplying Integers

1.1.a Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.b Add, subtract, multiply, and divide integers using the order of operations. 1.3.c Recognize and use the special multiplication properties of zero. 2.1.b Describe simple patterns using a mathematical rule or algebraic expression. 2.1.c Create and extend simple numeric and visual patterns, including those that have a recursive nature (e.g., Fibonacci numbers, triangular and square numbers). 2.2.a Evaluate algebraic expressions when given values for the variable(s).

Lesson 2.5 (pp. 77 – 82) Dividing Integers

1.1.a Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.b Add, subtract, multiply, and divide integers using the order of operations. 1.3.a Compare and order rational numbers. 1.3.b Identify the effects of arithmetic operations among fractions, decimals, percents, and integers; e.g., multiplying or dividing by a number larger or smaller than 1. 1.3.d Recognize that division by zero is not defined. 2.2.a Evaluate algebraic expressions when given values for the variable(s). 5.1.d Calculate the mean, median, mode, and range for a data set. 5.1.f Describe how an individual data point may affect the measures of central tendency.


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Lesson 2.6 (pp. 83 – 87) ALGEBRA: Number Properties

1.1.b Add, subtract, multiply, and divide integers using the order of operations. 1.1.d Justify the steps used in solving problems using correct notation. 1.3.f Add or multiply numbers using the Commutative and Associative Properties of Addition or Multiplication.

Lesson 2.7 (pp. 88 – 93) ALGEBRA: The Distributive Property

1.2.b Find an approximate location of a rational number on a number line. 1.3.a Compare and order rational numbers. 1.3.f Add or multiply numbers using the Commutative and Associative Properties of Addition or Multiplication.

Lesson 2.8 (pp. 94 – 101) ALGEBRA: The Coordinate Plane

1.1.b Add, subtract, multiply, and divide integers using the order of operations. 1.1.d Justify the steps used in solving problems using correct notation. 1.3.f Add or multiply numbers using the Commutative and Associative Properties of Addition or Multiplication. 2.3.b Graph ordered pairs of rational numbers on a rectangular coordinate system. 2.3.c Identify approximate rational coordinates when given the graph of a point on a rectangular coordinate system.


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Chapter 3 Solving Equations and Inequalities (pp. 112 - 171) Lesson 3.1 (pp. 115 – 121) ALGEBRA: Solving Equations Using Addition

or Subtraction

1.3.e Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 2.2.d Solve one- and two-step single-variable equations and inequalities. 2.3.b Graph ordered pairs of rational numbers on a rectangular coordinate system. 2.3.d Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.

Lesson 3.2 (pp. 122 – 126) ALGEBRA: Solving Equations Using

Multiplication or Division

1.3.e Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 2.2.d Solve one- and two-step single-variable equations and inequalities. 2.3.d Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.

Lesson 3.3 (pp. 127 – 133) ALGEBRA: Solving Two-Step Equations

1.3.e Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 2.2.d Solve one- and two-step single-variable equations and inequalities. 2.3.e Identify information as pertinent or extraneous within the context of the original problem.

Lesson 3.4 (pp. 134 – 141) ALGEBRA: Writing Two-Step Equations

1.3.e Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 2.2.d Solve one- and two-step single-variable equations and inequalities. 2.3.d Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 2.3.e Identify information as pertinent or extraneous within the context of the original problem.


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Lesson 3.5 (pp. 142 – 147) ALGEBRA: Applying Geometric Formulas

4.2.f Develop formulas for calculating the circumference of circles and the areas of triangles, parallelograms, and trapezoids. 4.2.g Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas.

Lesson 3.6 (pp. 148 – 153) ALGEBRA: Solving Inequalities Using Addition

or Subtraction


Lesson 3.7 (pp. 154 – 160) ALGEBRA: Solving Inequalities Using

Multiplication



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Chapter 4 Factors, Fractions and Exponents (pp. 172 - 229) Lesson 4.1 (pp. 175 – 180) Factors and Prime Factorization

Lesson 4.2 (pp. 181 – 185) Greatest Common Factor

1.3.e Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares.

Lesson 4.3 (pp. 186 – 191) Simplifying Fractions

1.2.a Recognize and create equivalent forms of a rational number. 2.2.a Evaluate algebraic expressions when given values for the variable(s). 3.2.b Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication.

Lesson 4.4 (pp. 192 – 197) Least Common Multiple

1.2.a Recognize and create equivalent forms of a rational number.

Lesson 4.5 (pp. 198 – 201) Comparing Fractions and Mixed Numbers

1.2.c Find a rational number between any two rational numbers. 1.3.a Compare and order rational numbers. 3.2.b Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication.

Lesson 4.6 (pp. 202 – 207) ALGEBRA: Roles of Exponents

2.2.a Evaluate algebraic expressions when given values for the variable(s).

Lesson 4.7 (pp. 208 – 211) ALGEBRA: Negative and Zero Exponents

Lesson 4.8 (pp. 212 – 219) Scientific Notation

1.2.e Represent very large and very small numbers using scientific notation. 1.3.a Compare and order rational numbers.


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Chapter 5 Rational Number Operations (pp. 230 - 289) Lesson 5.1 (pp. 233 – 237) Fractions with Common Denominators

1.1.a Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.2.d Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.2.e Represent very large and very small numbers using scientific notation. 3.2.b Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication.

Lesson 5.2 (pp. 238 – 242) Fractions with Different Denominators

1.1.a Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.c Check the reasonableness of results using estimation. 1.2.d Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions.

Lesson 5.3 (pp. 243 – 246) Multiplying Fractions

1.1.a Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 2.2.a Evaluate algebraic expressions when given values for the variable(s). 3.2.b Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication.

Lesson 5.4 (pp. 247 – 254) Dividing Fractions

1.1.a Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.c Check the reasonableness of results using estimation. 1.2.d Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.3.b Identify the effects of arithmetic operations among fractions, decimals, percents, and integers; e.g., multiplying or dividing by a number larger or smaller than 1.


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Lesson 5.5 (pp. 255 – 259) Fractions and Decimals

1.2.a Recognize and create equivalent forms of a rational number. 1.2.b Find an approximate location of a rational number on a number line. 1.2.c Find a rational number between any two rational numbers. 1.2.d Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.3.a Compare and order rational numbers. 2.1.c Create and extend simple numeric and visual patterns, including those that have a recursive nature (e.g., Fibonacci numbers, triangular and square numbers).

Lesson 5.6 (pp. 260 – 264) Adding and Subtracting Decimals

1.2.e Represent very large and very small numbers using scientific notation.

Lesson 5.7 (pp. 265 – 269) Multiplying and Dividing Decimals

1.1.a Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.c Check the reasonableness of results using estimation. 1.2.d Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.3.a Compare and order rational numbers. 2.1.c Create and extend simple numeric and visual patterns, including those that have a recursive nature (e.g., Fibonacci numbers, triangular and square numbers).


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Lesson 5.8 (pp. 270 – 279) Mean, Median and Mode

1.2.a Recognize and create equivalent forms of a rational number. 5.1.a Conduct a survey or experiment to collect data. 5.1.d Calculate the mean, median, mode, and range for a data set. 5.1.e Choose a measure of central tendency most appropriate to analyze a particular set of data. 5.1.f Describe how an individual data point may affect the measures of central tendency. 5.1.g Interpret and describe the spread of a set of data, e.g., range, box plot (box-and-whisker).


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Chapter 6 Multi-Step Equations and Inequalities (pp. 290 - 339) Lesson 6.1 (pp. 293 – 297) ALGEBRA: Solving Multi-Step Equations

5.1.d Calculate the mean, median, mode, and range for a data set.

Lesson 6.2 (pp. 298 – 302) ALGEBRA: Solving Equations with Variables on

Both Sides

Lesson 6.3 (pp. 303 – 309) ALGEBRA: Solving Equations Involving

Fractions and Decimals

Lesson 6.4 (pp. 310 – 317) ALGEBRA: Solving Equations Involving

Circumference

1.1.c Check the reasonableness of results using estimation. 4.2.f Develop formulas for calculating the circumference of circles and the areas of triangles, parallelograms, and trapezoids. 4.2.g Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas.

Lesson 6.5 (pp. 318 – 323) ALGEBRA: Solving Multi-Step Inequalities

Lesson 6.6 (pp. 324 – 330) Problem Solving and Inequalities

4.2.g Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas.


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Chapter 7 Ratio, Proportion and Percent (pp. 340 - 399) Lesson 7.1 (pp. 343 – 346) Ratios and Rates

1.1.c Check the reasonableness of results using estimation. 4.2.c Solve problems involving rates and derived measures, e.g., miles per hour, liters per kiloliter, cubic feet.

Lesson 7.2 (pp. 347 – 353) Writing and Solving Proportions

1.4.d Solve problems using simple proportions. 2.3.e Identify information as pertinent or extraneous within the context of the original problem. 3.2.a Create and interpret scale drawings. 4.2.a Determine an approximate distance between two points using map scales. 4.2.c Solve problems involving rates and derived measures, e.g., miles per hour, liters per kiloliter, cubic feet.

Lesson 7.3 (pp. 354 – 358) Solving Percent Problems

1.4.c Compute with percents, including those greater than 100% and less than 1%. 1.4.d Solve problems using simple proportions.

Lesson 7.4 (pp. 359 – 365) Fractions, Decimals and Percents

1.2.a Recognize and create equivalent forms of a rational number. 1.2.b Find an approximate location of a rational number on a number line. 1.3.a Compare and order rational numbers. 1.4.c Compute with percents, including those greater than 100% and less than 1%. 1.4.d Solve problems using simple proportions. 3.2.b Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication. 4.2.c Solve problems involving rates and derived measures, e.g., miles per hour, liters per kiloliter, cubic feet.


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Lesson 7.5 (pp. 366 – 369) Percent of Change

1.4.c Compute with percents, including those greater than 100% and less than 1%.

Lesson 7.6 (pp. 370 – 374) Percent Applications

1.4.c Compute with percents, including those greater than 100% and less than 1%. 1.4.d Solve problems using simple proportions.

Lesson 7.7 (pp. 375 – 380) Using the Percent Equation

1.1.c Check the reasonableness of results using estimation. 1.2.d Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.4.c Compute with percents, including those greater than 100% and less than 1%. 2.1.c Create and extend simple numeric and visual patterns, including those that have a recursive nature (e.g., Fibonacci numbers, triangular and square numbers).

Lesson 7.8 (pp. 381 – 387) Simple Probability

1.2.d Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.4.c Compute with percents, including those greater than 100% and less than 1%. 5.2.a Conduct experiments to approximate the probability of simple events. 5.2.b Recognize that results of an experiment more closely approximate the actual or theoretical probability of an event as the number of trials increases. 5.2.d Represent the probability of an event as a fraction, percent, ratio, or decimal. 5.2.e Identify mutually exclusive events. 5.2.g Determine whether a game or process is fair.


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Chapter 8 Polygons and Transformations (pp. 400 - 465) Lesson 8.1 (pp. 403 – 410) Angle Pairs

Lesson 8.2 (pp. 411 – 415) Angles and Triangles

3.1.c Classify two- and three-dimensional objects according to the defining characteristics.

Lesson 8.3 (pp. 416 – 419) Quadrilaterals


Lesson 8.4 (pp. 420 – 425) Polygons and Angles


Lesson 8.5 (pp. 426 – 432) Congruent Polygons

2.3.b Graph ordered pairs of rational numbers on a rectangular coordinate system. 2.3.e Identify information as pertinent or extraneous within the context of the original problem. 3.1.a Identify congruent and similar shapes.

Lesson 8.6 (pp. 433 – 438) ALGEBRA: Reflection and Symmetry

2.3.b Graph ordered pairs of rational numbers on a rectangular coordinate system. 2.3.c Identify approximate rational coordinates when given the graph of a point on a rectangular coordinate system. 3.3.a Reflect a geometric shape across a line in a coordinate plane and identify the coordinates of the vertices.

Lesson 8.7 (pp. 439 – 446) ALGEBRA: Translations and Rotations

3.1.c Classify two- and three-dimensional objects according to the defining characteristics. 3.3.a Reflect a geometric shape across a line in a coordinate plane and identify the coordinates of the vertices. 3.3.b Translate a geometric shape a given distance on a coordinate plane and identify the vertices.


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Lesson 8.8 (pp. 447 – 455) Similarity and Dilations

1.4.d Solve problems using simple proportions. 3.1.a Identify congruent and similar shapes. 3.1.b Find missing lengths of similar plane figures using proportions. 3.1.d Identify relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects. 3.3.b Translate a geometric shape a given distance on a coordinate plane and identify the vertices. 4.2.b Solve problems involving scale factors using ratios and proportions. 4.2.d Measure inaccessible heights or distances using similar triangles.


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Chapter 9 Real Numbers and Right Triangles (pp. 466 - 517) Lesson 9.1 (pp. 469 – 474) ALGEBRA: Square Roots

2.1.c Create and extend simple numeric and visual patterns, including those that have a recursive nature (e.g., Fibonacci numbers, triangular and square numbers). 3.2.b Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication.

Lesson 9.2 (pp. 475 – 480) Rational and Irrational Numbers

1.2.b Find an approximate location of a rational number on a number line. 1.2.c Find a rational number between any two rational numbers.

Lesson 9.3 (pp. 481 – 486) The Pythagorean Theory

3.2.b Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication. 4.2.b Solve problems involving scale factors using ratios and proportions.

Lesson 9.4 (pp. 487 – 492) Using the Pythagorean Theory

3.3.a Reflect a geometric shape across a line in a coordinate plane and identify the coordinates of the vertices.

Lesson 9.5 (pp. 493 – 497) Special Right Triangles

Lesson 9.6 (pp. 498 – 508) Using Trigonometric Ratios


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Chapter 10 Measurement, Area and Volume (pp. 518 - 579) Lesson 10.1 (pp. 521 – 526) Areas of Parallelograms and Trapezoids

4.1.a Estimate measurable quantities in both standard and metric units, e.g., a vase holds a little less than a quart or about a liter; a 10K run is about 6 miles. 4.1.c Measure angles, perimeters, areas, and volumes using the correct size and type of units. 4.2.f Develop formulas for calculating the circumference of circles and the areas of triangles, parallelograms, and trapezoids. 4.2.g Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas.

Lesson 10.2 (pp. 527 – 533) Areas of Circles


Lesson 10.3 (pp. 534 – 541) Three-Dimensional Figures

2.1.c Create and extend simple numeric and visual patterns, including those that have a recursive nature (e.g., Fibonacci numbers, triangular and square numbers). 3.1.c Classify two- and three-dimensional objects according to the defining characteristics. 4.2.g Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas.

Lesson 10.4 (pp. 542 – 547) Surface Areas of Prisms and Cylinders

4.2.c Solve problems involving rates and derived measures, e.g., miles per hour, liters per kiloliter, cubic feet. 4.2.e Calculate surface area and volume of right prisms and cylinders using appropriate units. 4.2.g Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas.


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Lesson 10.5 (pp. 548 – 552) Surface Areas of Pyramids and Cones

2.1.c Create and extend simple numeric and visual patterns, including those that have a recursive nature (e.g., Fibonacci numbers, triangular and square numbers). 3.1.c Classify two- and three-dimensional objects according to the defining characteristics. 4.2.c Solve problems involving rates and derived measures, e.g., miles per hour, liters per kiloliter, cubic feet. 4.2.e Calculate surface area and volume of right prisms and cylinders using appropriate units.

Lesson 10.6 (pp. 553 – 559) Volumes of Prisms and Cylinders

4.1.b Convert from one unit of measure to an equivalent unit of measure using a given conversion factor, e.g., 60 miles/hour • 1 hour/3600 sec • 5280 ft/1mile = 88 ft/sec. 4.2.c Solve problems involving rates and derived measures, e.g., miles per hour, liters per kiloliter, cubic feet. 4.2.e Calculate surface area and volume of right prisms and cylinders using appropriate units.

Lesson 10.7 (pp. 560 – 568) Volumes of Pyramids and Cones

1.1.c Check the reasonableness of results using estimation. 4.2.c Solve problems involving rates and derived measures, e.g., miles per hour, liters per kiloliter, cubic feet. 4.2.e Calculate surface area and volume of right prisms and cylinders using appropriate units.


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Chapter 11 Linear Equations and Graphs (pp. 580 - 645) Lesson 11.1 (pp. 583 – 587) ALGEBRA: Relations and Functions

2.1.a Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.1.b Describe simple patterns using a mathematical rule or algebraic expression. 2.3.a Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.d Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.

Lesson 11.2 (pp. 588 – 592) ALGEBRA: Scatter Plots

2.1.a Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.3.a Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.b Graph ordered pairs of rational numbers on a rectangular coordinate system. 5.1.c Make conjectures from a graphical representation. 5.1.h Make predictions and describe the limitations of the predictions when using data samples. 5.1.i Evaluate reported inferences or predictions based on a data set.

Lesson 11.3 (pp. 593 – 597) ALGEBRA: Equations in Two Variables

2.1.a Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.1.b Describe simple patterns using a mathematical rule or algebraic expression. 2.3.a Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.b Graph ordered pairs of rational numbers on a rectangular coordinate system. 3.3.a Reflect a geometric shape across a line in a coordinate plane and identify the coordinates of the vertices.


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Lesson 11.4 (pp. 598 – 605) ALGEBRA: Graphs of Linear Equations

2.1.a Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.1.b Describe simple patterns using a mathematical rule or algebraic expression. 2.3.a Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.b Graph ordered pairs of rational numbers on a rectangular coordinate system. 2.3.d Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.

Lesson 11.5 (pp. 606 – 609) ALGEBRA: Using Intercepts

2.1.a Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.2.b Identify the x-and-y intercepts of a linear relation from an equation, graph, or table. 2.3.a Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.d Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.

Lesson 11.6 (pp. 610 – 619) ALGEBRA: Slope

2.2.c Determine the slope of a linear relation from a graph or ordered pairs.


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Lesson 11.7 (pp. 620 – 628) ALGEBRA: Slope-Intercept Form

2.1.a Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.1.b Describe simple patterns using a mathematical rule or algebraic expression. 2.2.b Identify the x-and-y intercepts of a linear relation from an equation, graph, or table. 2.2.c Determine the slope of a linear relation from a graph or ordered pairs. 2.3.a Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.d Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 4.2.e Calculate surface area and volume of right prisms and cylinders using appropriate units.

Lesson 11.8 (pp. 629 – 635) ALGEBRA: Graphs of Linear Equations

2.2.b Identify the x-and-y intercepts of a linear relation from an equation, graph, or table. 2.2.c Determine the slope of a linear relation from a graph or ordered pairs. 2.3.d Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.


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Chapter 12 Data Analysis and Probability (pp. 646 - 713) Lesson 12.1 (pp. 649 – 653) Stem-and-Leaf Plots

5.1.b Organize and display data using graphical representations such as line plots, bar graphs, stem-and-leaf plots, histograms, scatter plots, circle graphs, box plots (box-and-whisker plots), and pictographs. 5.1.c Make conjectures from a graphical representation. 5.1.d Calculate the mean, median, mode, and range for a data set. 5.1.g Interpret and describe the spread of a set of data, e.g., range, box plot (box-and-whisker).

Lesson 12.2 (pp. 654 – 658) Box-and-Whisker Plots

2.2.b Identify the x-and-y intercepts of a linear relation from an equation, graph, or table. 2.3.a Create a table, graph, or algebraic expression to represent the relationship between two variables. 5.1.b Organize and display data using graphical representations such as line plots, bar graphs, stem-and-leaf plots, histograms, scatter plots, circle graphs, box plots (box-and-whisker plots), and pictographs. 5.1.c Make conjectures from a graphical representation. 5.1.d Calculate the mean, median, mode, and range for a data set. 5.1.g Interpret and describe the spread of a set of data, e.g., range, box plot (box-and-whisker).


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Lesson 12.3 (pp. 659 – 669) Using Data Displays

5.1.b Organize and display data using graphical representations such as line plots, bar graphs, stem-and-leaf plots, histograms, scatter plots, circle graphs, box plots (box-and-whisker plots), and pictographs. 5.1.c Make conjectures from a graphical representation. 5.1.d Calculate the mean, median, mode, and range for a data set. 5.1.g Interpret and describe the spread of a set of data, e.g., range, box plot (box-and-whisker). 5.2.d Represent the probability of an event as a fraction, percent, ratio, or decimal.

Lesson 12.4 (pp. 670 – 674) Counting Methods

2.2.c Determine the slope of a linear relation from a graph or ordered pairs. 5.2.c Derive the probability of an event mathematically, e.g., building a table or tree diagram, creating an area model, making a list, or using the basic counting principle. 5.2.d Represent the probability of an event as a fraction, percent, ratio, or decimal.

Lesson 12.5 (pp. 675 – 679) Permutations

2.1.c Create and extend simple numeric and visual patterns, including those that have a recursive nature (e.g., Fibonacci numbers, triangular and square numbers).

Lesson 12.6 (pp. 680 – 684) Combinations

2.1.c Create and extend simple numeric and visual patterns, including those that have a recursive nature (e.g., Fibonacci numbers, triangular and square numbers). 5.1.c Make conjectures from a graphical representation. 5.2.d Represent the probability of an event as a fraction, percent, ratio, or decimal.


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Lesson 12.7 (pp. 685 – 691) Probability and Odds

1.2.d Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 2.2.c Determine the slope of a linear relation from a graph or ordered pairs. 5.2.a Conduct experiments to approximate the probability of simple events. 5.2.c Derive the probability of an event mathematically, e.g., building a table or tree diagram, creating an area model, making a list, or using the basic counting principle. 5.2.d Represent the probability of an event as a fraction, percent, ratio, or decimal. 5.2.f Recognize that the sum of the probability of an event and the probability of its complement is equal to one.

Lesson 12.8 (pp. 692 – 703) Independent and Dependent Events

5.1.a Conduct a survey or experiment to collect data. 5.1.c Make conjectures from a graphical representation. 5.1.h Make predictions and describe the limitations of the predictions when using data samples. 5.2.d Represent the probability of an event as a fraction, percent, ratio, or decimal. 5.2.f Recognize that the sum of the probability of an event and the probability of its complement is equal to one.


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Chapter 13 Polynomials and Functions (pp. 714 - 757) Lesson 13.1 (pp. 717 – 720) ALGEBRA: Polynomials

2.2.a Evaluate algebraic expressions when given values for the variable(s). 4.2.e Calculate surface area and volume of right prisms and cylinders using appropriate units.

Lesson 13.2 (pp. 721 – 725) ALGEBRA: Adding and Subtracting

Polynomials

Lesson 13.3 (pp. 726 – 732) ALGEBRA: Monomials and Powers

Lesson 13.4 (pp. 733 – 738) ALGEBRA: Multiplying Binomials

3.2.b Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication.

Lesson 13.5 (pp. 739 – 747) ALGEBRA: Nonlinear Functions

UT 19612/2006

2007 CC2

pre-algebra - mcdougal littell€¦ · · 2006-12-07pre-algebra correlated to mcdougal littell...

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