pre-algebra - mcdougal littell · pre-algebra correlated to ... 1.3.6 add or multiply numbers using...

correlated to

UtahCore Curriculumfor Mathematics

Pre-Algebra

Utah Core Curriculum for Mathematics

Pre-Algebra

correlated to

McDougal Littell Pre-Algebra ©2005

McDougal Littell Pre-Algebra


Chapter 1 (pp. 2–57) Variables, Expressions, and Integers Lesson 1.1 (pp. 5–9) Expressions and Variables

1.1.4 Justify the steps used in solving problems using correct notation. 2.2.1 Evaluate algebraic expressions when given values for the variable(s). 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.

Lesson 1.2 (pp. 10–15) Powers and Exponents

1.1.4 Justify the steps used in solving problems using correct notation. 2.1.2 Describe simple patterns using a mathematical rule or algebraic expression. 2.1.3 Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers). 2.2.1 Evaluate algebraic expressions when given values for the variable(s). 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 4.1.3 Measure angles, perimeter, area, and volume using the correct size and type of units.

1

Utah Core Curriculum for Mathematics, Pre-Algebra correlated to McDougal Littell Pre-Algebra ©2005

2



Lesson 1.3 (pp. 16–21) 1.1.1 Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator 1.2.4 Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 2.1.2 Describe simple patterns using a mathematical rule or algebraic expression. 2.1.3 Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers). 2.2.1 Evaluate algebraic expressions when given values for the variable(s). 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.

Lesson 1.4 (pp. 22–26) Comparing and Ordering Integers

1.2.2 Find an approximate location of a rational number on a number line. 1.3.1 Compare and order rational numbers. 1.4.1 Recognize absolute value of a rational number as the value of its distance from zero. 1.4.2 Evaluate numerical and algebraic expressions containing absolute value. 2.2.1 Evaluate algebraic expressions when given values for the variable(s). 3.2.2 Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication.


3



Lesson 1.5 (pp. 28–33) 1.1.1 Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.2 Add, subtract, multiply, and divide integers. 1.1.4 Justify the steps used in solving problems using correct notation. 1.2.4 Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.3.2 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. 1.4.1 Recognize absolute value of a rational number as the value of its distance from zero. 1.4.2 Evaluate numerical and algebraic expressions containing absolute value. 2.2.1 Evaluate algebraic expressions when given values for the variable(s). 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 3.2.2 Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication.


4



Lesson 1.6 (pp. 34–40) 1.1.1 Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.2 Add, subtract, multiply, and divide integers. 1.1.4 Justify the steps used in solving problems using correct notation. 1.2.4 Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.3.2 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. 2.2.1 Evaluate algebraic expressions when given values for the variable(s). 5.1.4 Calculate the mean, median, mode, and range for a data set. 5.1.5 Choose a measure of central tendency most appropriate to analyze a particular set of data. 5.1.6 Describe how an individual data point may affect the measures of central tendency. 5.1.7 Interpret and describe the spread of a set of data, e g., range, box plot (box– and– whisker).


5



Lesson 1.7 (pp. 41–46) 1.1.1 Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.2 Add, subtract, multiply, and divide integers. 1.1.4 Justify the steps used in solving problems using correct notation. 1.2.4 Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.3.1 Compare and order rational numbers. 1.3.2 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. 1.3.3 Recognize and use the special multiplication properties of zero. 1.3.4 Recognize that division by zero is not defined. 2.2.1 Evaluate algebraic expressions when given values for the variable(s). 5.1.4 Calculate the mean, median, mode, and range for a data set. 5.1.5 Choose a measure of central tendency most appropriate to analyze a particular set of data.


6



Lesson 1.8 (pp. 47–51) 1.1.1 Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.2 Add, subtract, multiply, and divide integers. 1.1.4 Justify the steps used in solving problems using correct notation. 1.2.4 Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.3.2 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. 2.3.2 Graph ordered pairs of rational numbers on a rectangular coordinate system. 2.3.3 Identify approximate rational coordinates when given the graph of a point on a rectangular coordinate system. 5.1.2 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. 5.1.3 Make conjectures from a graphical representation.


7



Chapter 2 (pp. 60–113) Solving Equations Lesson 2.1 (pp. 63–70) Properties and Operations

1.1.4 Justify the steps used in solving problems using correct notation. 1.3.6 Add or multiply numbers using the Commutative and Associative Properties of Addition or Multiplication. 2.2.1 Evaluate algebraic expressions when given values for the variable(s). 2.3.2 Graph ordered pairs of rational numbers on a rectangular coordinate system. 4.1.2 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. 4.1.3 Measure angles, perimeter, area, and volume using the correct size and type of units. 4.2.6 Develop formulas for calculating the circumference of circles and the areas of triangles, parallelograms, and trapezoids. 4.2.7 Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas.


8



Lesson 2.2 (pp. 71–77) The Distributive Property

1.1.1 Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.2 Add, subtract, multiply, and divide integers. 1.1.4 Justify the steps used in solving problems using correct notation. 1.2.4 Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.3.6 Add or multiply numbers using the Commutative and Associative Properties of Addition or Multiplication. 4.1.2 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. 4.1.3 Measure angles, perimeter, area, and volume using the correct size and type of units. 4.2.3 Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet. 4.2.7 Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas.

Lesson 2.3 (pp. 78–83) Simplifying Variable Expressions

1.1.4 Justify the steps used in solving problems using correct notation. 1.3.6 Add or multiply numbers using the Commutative and Associative Properties of Addition or Multiplication. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.


9



Lesson 2.4 (pp. 85–89) Variables and Equations

1.1.2 Add, subtract, multiply, and divide integers. 1.1.4 Justify the steps used in solving problems using correct notation. 1.2.4 Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.3.5 Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 1.3.6 Add or multiply numbers using the Commutative and Associative Properties of Addition or Multiplication. 2.2.1 Evaluate algebraic expressions when given values for the variable(s). 2.2.4 Solve one– and two–step single–variable equations and inequalities. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 4.1.2 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.


10



Lesson 2.5 (pp. 90–95) Solving Equations Using Addition or Subtraction

1.1.4 Justify the steps used in solving problems using correct notation. 1.3.5 Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 1.4.1 Recognize absolute value of a rational number as the value of its distance from zero. 1.4.2 Evaluate numerical and algebraic expressions containing absolute value. 2.2.1 Evaluate algebraic expressions when given values for the variable(s). 2.2.4 Solve one– and two–step single–variable equations and inequalities. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 4.1.2 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.

Lesson 2.6 (pp. 96–101) Solving Equations Using Multiplication or Division

1.1.2 Add, subtract, multiply, and divide integers. 1.1.4 Justify the steps used in solving problems using correct notation. 1.3.5 Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 2.2.4 Solve one– and two–step single–variable equations and inequalities. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 4.2.7 Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas.


11



Lesson 2.7 (pp. 102–107) Decimal Operations and Equations with Decimals

1.1.1 Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.4 Justify the steps used in solving problems using correct notation. 1.2.4 Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.3.2 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. 1.3.5 Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 1.3.6 Add or multiply numbers using the Commutative and Associative Properties of Addition or Multiplication. 2.2.4 Solve one– and two–step single–variable equations and inequalities. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 4.2.7 Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas.


12



Chapter 3 (pp. 116–159)

Lesson 3.1 (pp. 119–124) Solving Two-Step Equations

1.3.5 Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 2.2.4 Solve one– and two–step single–variable equations and inequalities. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.

Lesson 3.2 (pp. 125–129) Solving Equations Having Like Terms and Parentheses

1.3.5 Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 2.2.4 Solve one– and two–step single–variable equations and inequalities. 2.3.2 Graph ordered pairs of rational numbers on a rectangular coordinate system. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.

Lesson 3.3 (pp. 130–136) Solving Equations with Variables on Both Sides

1.3.5 Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 2.2.4 Solve one– and two–step single–variable equations and inequalities. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.

Lesson 3.4 (pp. 138–142) 1.1.4 Justify the steps used in solving problems using correct notation. 2.2.4 Solve one– and two–step single–variable equations and inequalities. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.

Lesson 3.5 (pp. 143–148) Solving Inequalities Using Multiplication or Division

2.2.4 Solve one– and two–step single–variable equations and inequalities. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.


13



Lesson 3.6 (pp. 149–153) Solving Multi-Step Inequalities

1.1.4 Justify the steps used in solving problems using correct notation. 2.2.4 Solve one– and two–step single–variable equations and inequalities. 2.3.3 Identify approximate rational coordinates when given the graph of a point on a rectangular coordinate system. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.


14



Chapter 4 (pp. 168–215)

Lesson 4.1 (pp. 171–176) Factors and Prime Factorization

5.1.8 Make predictions and describe the limitations of the predictions when using data samples.

Lesson 4.2 (pp. 177–181) Greatest Common Factor

1.1.4 Justify the steps used in solving problems using correct notation. 5.1.3 Make conjectures from a graphical representation.

Lesson 4.3 (pp. 182–186) Equivalent Fractions

1.2.1 Recognize and create equivalent forms of a rational number. 1.2.2 Find an approximate location of a rational number on a number line. 1.4.1 Recognize absolute value of a rational number as the value of its distance from zero. 1.4.2 Evaluate numerical and algebraic expressions containing absolute value. 2.2.1 Evaluate algebraic expressions when given values for the variable(s).

Lesson 4.4 (pp. 187–191) Least Common Multiple

2.1.2 Describe simple patterns using a mathematical rule or algebraic expression. 2.1.3 Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers). 2.2.1 Evaluate algebraic expressions when given values for the variable(s).

Lesson 4.5 (pp. 193–198) Rules of Exponents

1.2.1 Recognize and create equivalent forms of a rational number. 2.1.3 Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers).


15



Lesson 4.6 (pp. 199–203) Negative and Zero Exponents

1.2.1 Recognize and create equivalent forms of a rational number. 1.3.5 Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 2.1.3 Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers). 2.2.4 Solve one– and two–step single–variable equations and inequalities.

Lesson 4.7 (pp. 204–209) Scientific Notation

1.2.1 Recognize and create equivalent forms of a rational number. 1.2.5 Represent very large and very small numbers using scientific notation. 1.3.2 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. 1.3.5 Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 2.2.4 Solve one– and two–step single–variable equations and inequalities.


16



Chapter 5 (pp. 216–263)

Lesson 5.1 (pp. 219–224) Rational Numbers

1.2.1 Recognize and create equivalent forms of a rational number. 1.2.2 Find an approximate location of a rational number on a number line. 1.2.3 Find a rational number between any two rational numbers. 1.3.1 Compare and order rational numbers.

Lesson 5.2 (pp. 225–229) Adding and Subtracting Like Fractions

1.1.1 Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.2.4 Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.3.5 Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 2.2.4 Solve one– and two–step single–variable equations and inequalities.

Lesson 5.3 (pp. 230–235) Adding and Subtracting Unlike Fractions

1.1.1 Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.3 Check the reasonableness of results using estimation. 1.2.4 Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 3.2.2 Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication.


17



Lesson 5.4 (pp. 237–241) Multiplying Fractions

1.1.1 Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.4 Justify the steps used in solving problems using correct notation. 1.2.4 Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.2.5 Represent very large and very small numbers using scientific notation. 1.3.2 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. 1.3.5 Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 2.2.4 Solve one– and two–step single–variable equations and inequalities.

Lesson 5.5 (pp. 242–246) Dividing Fractions

1.1.1 Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.2.4 Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.3.1 Compare and order rational numbers. 1.3.2 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. 1.3.5 Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 2.2.4 Solve one– and two–step single–variable equations and inequalities.


18



Lesson 5.6 (pp. 247–252) Using Multiplicative Inverses to Solve Equations

1.1.1 Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.2.4 Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.3.1 Compare and order rational numbers. 1.3.2 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. 1.3.5 Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 2.2.4 Solve one– and two–step single–variable equations and inequalities. 4.2.3 Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet.

Lesson 5.7 (pp. 253–257) Equations and Inequalities with Rational Numbers

1.1.1 Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.4 Justify the steps used in solving problems using correct notation. 1.2.4 Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.3.5 Recognize and use the inverse relationships of addition and subtraction, multiplication and division, and perfect square roots and squares. 2.2.4 Solve one– and two–step single–variable equations and inequalities.


19



Chapter 6 (pp. 266–323)

Lesson 6.1 (pp. 269–274) Ratios and Rates

4.2.3 Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet.

Lesson 6.2 (pp. 275–279) Writing and Solving Proportions

1.4.4 Solve problems using simple proportions.

Lesson 6.3 (pp. 280–286) Solving Proportions Using Cross Products

1.2.1 Recognize and create equivalent forms of a rational number. 1.2.5 Represent very large and very small numbers using scientific notation. 1.4.4 Solve problems using simple proportions. 3.1.3 Classify two– and three–dimensional objects according to the defining characteristics.

Lesson 6.4 (pp. 287–292) Similar and Congruent Figures

1.2.1 Recognize and create equivalent forms of a rational number. 1.4.4 Solve problems using simple proportions. 3.1.1 Identify congruent and similar shapes. 3.1.2 Find missing lengths of similar plane figures using proportions. 3.1.4 Identify relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects. 4.1.3 Measure angles, perimeter, area, and volume using the correct size and type of units. 4.2.3 Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet.


20



Lesson 6.5 (pp. 293–297) Similarity and Measurement

1.3.1 Compare and order rational numbers. 1.4.4 Solve problems using simple proportions. 3.1.1 Identify congruent and similar shapes. 3.1.2 Find missing lengths of similar plane figures using proportions. 3.1.4 Identify relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects. 4.2.2 Solve problems involving scale factors using ratios and proportions. 4.2.4 Measure inaccessible heights or distances using similar triangles.

Lesson 6.6 (pp. 299–304) Scale Drawings

1.4.4 Solve problems using simple proportions. 2.1.2 Describe simple patterns using a mathematical rule or algebraic expression. 3.1.1 Identify congruent and similar shapes. 3.1.2 Find missing lengths of similar plane figures using proportions. 3.1.4 Identify relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects. 3.2.1 Create and interpret scale drawings. 4.2.1 Determine an approximate distance between two points using map scales. 4.2.2 Solve problems involving scale factors using ratios and proportions.


21



Lesson 6.7 (pp. 305–312) Probability and Odds

1.3.1 Compare and order rational numbers. 1.4.4 Solve problems using simple proportions. 3.1.1 Identify congruent and similar shapes. 3.1.2 Find missing lengths of similar plane figures using proportions. 3.1.4 Identify relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects. 4.2.2 Solve problems involving scale factors using ratios and proportions. 4.2.4 Measure inaccessible heights or distances using similar triangles. 5.1.1 Conduct a survey or experiment to collect data. 5.1.8 Make predictions and describe the limitations of the predictions when using data samples. 5.2.1 Conduct experiments to approximate the probability of simple events. 5.2.1 Conduct experiments to approximate the probability of simple events. 5.2.2 Recognize that results of an experiment more closely approximate the actual or theoretical probability of an event as the number of trials increases. 5.2.3 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. 5.2.4 Represent the probability of an event as a fraction, percent, ratio, or decimal.

Lesson 6.8 (pp. 313–317) 5.2.3 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. 5.2.4 Represent the probability of an event as a fraction, percent, ratio, or decimal.


22



Chapter 7 (pp. 326–373)

Lesson 7.1 (pp. 329–333) Percents and Fractions

1.1.1 Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.4 Justify the steps used in solving problems using correct notation. 1.2.1 Recognize and create equivalent forms of a rational number. 1.2.4 Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.4.3 Compute with percents, including those greater than 100% and less than 1%. 1.4.4 Solve problems using simple proportions. 3.2.2 Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication. 5.1.3 Make conjectures from a graphical representation.

Lesson 7.2 (pp. 334–339) Percents and Proportions

1.1.1 Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.3 Check the reasonableness of results using estimation. 1.2.4 Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.4.3 Compute with percents, including those greater than 100% and less than 1%. 1.4.4 Solve problems using simple proportions. 3.2.2 Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication. 5.1.8 Make predictions and describe the limitations of the predictions when using data samples.


23



Lesson 7.3 (pp. 340–344) Percents and Decimals

1.1.1 Compute using selected methods from among mental arithmetic, estimation, paper and pencil, and calculator. 1.1.3 Check the reasonableness of results using estimation. 1.2.1 Recognize and create equivalent forms of a rational number. 1.2.4 Choose appropriate and convenient forms of rational numbers for solving problems and representing solutions. 1.3.2 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. 1.4.3 Compute with percents, including those greater than 100% and less than 1%. 1.4.4 Solve problems using simple proportions. 2.1.3 Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers). 5.1.3 Make conjectures from a graphical representation. 5.1.8 Make predictions and describe the limitations of the predictions when using data samples. 5.2.4 Represent the probability of an event as a fraction, percent, ratio, or decimal.

Lesson 7.4 (pp. 345–349) The Percent Equation

1.2.1 Recognize and create equivalent forms of a rational number. 1.4.3 Compute with percents, including those greater than 100% and less than 1%.

Lesson 7.5 (pp. 351–356) Percent of Change

1.1.3 Check the reasonableness of results using estimation. 1.4.3 Compute with percents, including those greater than 100% and less than 1%. 3.2.2 Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication.


24



Lesson 7.6 (pp. 357–361) Percent Applications

1.1.3 Check the reasonableness of results using estimation. 1.1.4 Justify the steps used in solving problems using correct notation. 1.2.1 Recognize and create equivalent forms of a rational number. 1.4.3 Compute with percents, including those greater than 100% and less than 1%. 2.2.1 Evaluate algebraic expressions when given values for the variable(s).

Lesson 7.7 (pp. 362–367) Simple and Compound Interest

1.1.4 Justify the steps used in solving problems using correct notation. 1.1.4 Justify the steps used in solving problems using correct notation. 1.4.3 Compute with percents, including those greater than 100% and less than 1%. 4.2.3 Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet.


25



Chapter 8 (pp. 382–447)

Lesson 8.1 (pp. 385–390) Relations and Functions

1.4.3 Compute with percents, including those greater than 100% and less than 1%. 2.1.1 Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.3.1 Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.2 Graph ordered pairs of rational numbers on a rectangular coordinate system. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 4.2.3 Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet.

Lesson 8.2 (pp. 391–397) Linear Equations in Two Variables

1.4.3 Compute with percents, including those greater than 100% and less than 1%. 1.4.4 Solve problems using simple proportions. 2.1.1 Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.1.2 Describe simple patterns using a mathematical rule or algebraic expression. 2.1.2 Describe simple patterns using a mathematical rule or algebraic expression. 2.2.1 Evaluate algebraic expressions when given values for the variable(s). 2.3.1 Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.2 Graph ordered pairs of rational numbers on a rectangular coordinate system. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.


26



Lesson 8.3 (pp. 398–402) Using Intercepts

1.4.3 Compute with percents, including those greater than 100% and less than 1%. 2.1.1 Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.1.2 Describe simple patterns using a mathematical rule or algebraic expression. 2.2.1 Evaluate algebraic expressions when given values for the variable(s). 2.2.2 Identify the horizontal and vertical intercepts of a linear relation from a graph or table. 2.3.1 Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.2 Graph ordered pairs of rational numbers on a rectangular coordinate system. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.


27



Lesson 8.4 (pp. 403–411) The Slope of a Line

1.3.4 Recognize that division by zero is not defined. 2.1.1 Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.1.2 Describe simple patterns using a mathematical rule or algebraic expression. 2.2.2 Identify the horizontal and vertical intercepts of a linear relation from a graph or table. 2.2.3 Determine the slope of a linear relation from a graph or ordered pairs. 2.3.1 Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.3 Identify approximate rational coordinates when given the graph of a point on a rectangular coordinate system. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 4.2.3 Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet.


28



Lesson 8.5 (pp. 412–417) Slope-Intercept Form

1.4.3 Compute with percents, including those greater than 100% and less than 1%. 2.1.1 Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.1.2 Describe simple patterns using a mathematical rule or algebraic expression. 2.2.2 Identify the horizontal and vertical intercepts of a linear relation from a graph or table. 2.2.3 Determine the slope of a linear relation from a graph or ordered pairs. 2.3.1 Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.2 Graph ordered pairs of rational numbers on a rectangular coordinate system. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 4.2.3 Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet.


29



Lesson 8.6 (pp. 419–425) Writing Linear Equations

1.1.4 Justify the steps used in solving problems using correct notation. 2.1.1 Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.1.2 Describe simple patterns using a mathematical rule or algebraic expression. 2.2.2 Identify the horizontal and vertical intercepts of a linear relation from a graph or table. 2.2.3 Determine the slope of a linear relation from a graph or ordered pairs. 2.3.1 Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.2 Graph ordered pairs of rational numbers on a rectangular coordinate system. 2.3.3 Identify approximate rational coordinates when given the graph of a point on a rectangular coordinate system. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 4.2.3 Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet. 5.1.8 Make predictions and describe the limitations of the predictions when using data samples.


30



Lesson 8.7 (pp. 426–430) Function Notation

1.4.3 Compute with percents, including those greater than 100% and less than 1%. 2.1.1 Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.1.2 Describe simple patterns using a mathematical rule or algebraic expression. 2.1.3 Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers). 2.2.1 Evaluate algebraic expressions when given values for the variable(s). 2.2.1 Evaluate algebraic expressions when given values for the variable(s). 2.2.2 Identify the horizontal and vertical intercepts of a linear relation from a graph or table. 2.2.3 Determine the slope of a linear relation from a graph or ordered pairs. 2.3.1 Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.2 Graph ordered pairs of rational numbers on a rectangular coordinate system. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.


31



Lesson 8.8 (pp. 431–435) Systems of Linear Equations

1.1.4 Justify the steps used in solving problems using correct notation. 1.2.5 Represent very large and very small numbers using scientific notation. 2.1.1 Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.1.2 Describe simple patterns using a mathematical rule or algebraic expression. 2.1.3 Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers). 2.2.3 Determine the slope of a linear relation from a graph or ordered pairs. 2.3.1 Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.2 Graph ordered pairs of rational numbers on a rectangular coordinate system. 2.3.3 Identify approximate rational coordinates when given the graph of a point on a rectangular coordinate system. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.


32



Lesson 8.9 (pp. 436–441) Graphs of Linear Inequalities

2.1.1 Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.1.2 Describe simple patterns using a mathematical rule or algebraic expression. 2.3.1 Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.2 Graph ordered pairs of rational numbers on a rectangular coordinate system. 2.3.3 Identify approximate rational coordinates when given the graph of a point on a rectangular coordinate system. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.


33



Chapter 9 (pp. 450–505)

Lesson 9.1 (pp. 453–457) Square Roots

1.2.1 Recognize and create equivalent forms of a rational number.

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

Lesson 9.2 (pp. 458–463) Simplifying Square Roots

1.2.1 Recognize and create equivalent forms of a rational number.

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

Lesson 9.3 (pp. 464–469) The Pythagorean Theorem

2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.

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

Lesson 9.4 (pp. 470–474) Real Numbers

1.2.2 Find an approximate location of a rational number on a number line. 1.3.1 Compare and order rational numbers. 2.2.1 Evaluate algebraic expressions when given values for the variable(s). 2.2.3 Determine the slope of a linear relation from a graph or ordered pairs. 4.2.3 Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet.

Lesson 9.5 (pp. 476–481) The Distance and Midpoint Formulas

1.3.1 Compare and order rational numbers. 4.2.3 Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet.

Lesson 9.6 (pp. 482–487) Special Right Triangles

1.4.4 Solve problems using simple proportions. 4.1.3 Measure angles, perimeter, area, and volume using the correct size and type of units. 4.2.4 Measure inaccessible heights or distances using similar triangles.

Lesson 9.7 (pp. 488–493) The Tangent Ratio

4.1.3 Measure angles, perimeter, area, and volume using the correct size and type of units.

Lesson 9.8 (pp. 494–499) The Sine and Cosine Ratios


34



Chapter 10 (pp. 508–569) Measurement, Area, and Volume Lesson 10.1 (pp. 511–515) Triangles

3.1.3 Classify two– and three–dimensional objects according to the defining characteristics.

Lesson 10.2 (pp. 516–520) Polygons and Quadrilaterals

2.1.1 Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.1.2 Describe simple patterns using a mathematical rule or algebraic expression. 2.3.1 Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.3 Identify approximate rational coordinates when given the graph of a point on a rectangular coordinate system. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 3.1.3 Classify two– and three–dimensional objects according to the defining characteristics.

Lesson 10.3 (pp. 521–526) Areas of Parallelograms and Trapezoids

3.1.3 Classify two– and three–dimensional objects according to the defining characteristics. 4.1.3 Measure angles, perimeter, area, and volume using the correct size and type of units. 4.2.6 Develop formulas for calculating the circumference of circles and the areas of triangles, parallelograms, and trapezoids. 4.2.7 Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas.

Lesson 10.4 (pp. 527–533) Circumference and Area of a Circle

3.1.3 Classify two– and three–dimensional objects according to the defining characteristics. 4.1.3 Measure angles, perimeter, area, and volume using the correct size and type of units. 4.2.6 Develop formulas for calculating the circumference of circles and the areas of triangles, parallelograms, and trapezoids. 4.2.7 Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas.


35



Lesson 10.5 (pp. 537–543) Surface Areas of Prisms and Cylinders

3.1.3 Classify two– and three–dimensional objects according to the defining characteristics. 4.2.5 Calculate surface area and volume of right prisms and cylinders using appropriate units. 4.2.7 Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas.

Lesson 10.6 (pp. 544–549) Surface Areas of Pyramids and Cones

3.1.3 Classify two– and three–dimensional objects according to the defining characteristics. 4.2.4 Measure inaccessible heights or distances using similar triangles. 4.2.5 Calculate surface area and volume of right prisms and cylinders using appropriate units. 4.2.7 Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas.


36



Lesson 10.7 (pp. 550–557) Volumes of Prisms and Cylinders

2.2.3 Determine the slope of a linear relation from a graph or ordered pairs. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 3.1.3 Classify two– and three–dimensional objects according to the defining characteristics. 3.1.4 Identify relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects. 4.1.1 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. 4.1.2 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. 4.1.3 Measure angles, perimeter, area, and volume using the correct size and type of units. 4.2.5 Calculate surface area and volume of right prisms and cylinders using appropriate units. 4.2.7 Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas.

Lesson 10.8 (pp. 558–563) Volumes of Pyramids and Cones

3.1.2 Find missing lengths of similar plane figures using proportions. 3.1.3 Classify two– and three–dimensional objects according to the defining characteristics. 3.1.4 Identify relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects. 4.1.3 Measure angles, perimeter, area, and volume using the correct size and type of units. 4.2.5 Calculate surface area and volume of right prisms and cylinders using appropriate units. 4.2.7 Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas.


37



Chapter 11 (pp. 578–645) Data Analysis and Probability Lesson 11.1 (pp. 581–587) Stem-and-Leaf Plots and Histograms

2.2.3 Determine the slope of a linear relation from a graph or ordered pairs. 5.1.2 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. 5.1.3 Make conjectures from a graphical representation. 5.1.4 Calculate the mean, median, mode, and range for a data set. 5.1.5 Choose a measure of central tendency most appropriate to analyze a particular set of data. 5.1.7 Interpret and describe the spread of a set of data, e g., range, box plot (box– and– whisker).

Lesson 11.2 (pp. 588–595) Box-and-Whisker Plots

4.1.3 Measure angles, perimeter, area, and volume using the correct size and type of units. 4.2.5 Calculate surface area and volume of right prisms and cylinders using appropriate units. 4.2.7 Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas. 5.1.2 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. 5.1.3 Make conjectures from a graphical representation. 5.1.4 Calculate the mean, median, mode, and range for a data set. 5.1.5 Choose a measure of central tendency most appropriate to analyze a particular set of data. 5.1.7 Interpret and describe the spread of a set of data, e g., range, box plot (box– and– whisker).


38



Lesson 11.3 (pp. 596–600) Using Data Displays

4.2.7 Calculate the circumference of circles and the areas of triangles, parallelograms, and trapezoids using formulas. 5.1.2 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. 5.1.3 Make conjectures from a graphical representation. 5.1.4 Calculate the mean, median, mode, and range for a data set. 5.1.5 Choose a measure of central tendency most appropriate to analyze a particular set of data. 5.1.7 Interpret and describe the spread of a set of data, e g., range, box plot (box– and– whisker).

Lesson 11.4 (pp. 601–607) Collecting Data

5.1.1 Conduct a survey or experiment to collect data. 5.1.2 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. 5.1.4 Calculate the mean, median, mode, and range for a data set. 5.1.9 Evaluate reported inferences or predictions based on a data set.

Lesson 11.5 (pp. 608–613) Interpreting Data

5.1.3 Make conjectures from a graphical representation. 5.1.8 Make predictions and describe the limitations of the predictions when using data samples. 5.1.9 Evaluate reported inferences or predictions based on a data set.


39



Lesson 11.6 (pp. 615–619) Permutations

5.1.2 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. 5.1.7 Interpret and describe the spread of a set of data, e g., range, box plot (box– and– whisker). 5.2.3 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. 5.2.4 Represent the probability of an event as a fraction, percent, ratio, or decimal.

Lesson 11.7 (pp. 620–625) Combinations

5.1.2 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. 5.1.7 Interpret and describe the spread of a set of data, e g., range, box plot (box– and– whisker). 5.2.3 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.

Lesson 11.8 (pp. 626–632) Probabilities of Disjoint and Overlapping Events

5.1.1 Conduct a survey or experiment to collect data. 5.2.1 Conduct experiments to approximate the probability of simple events. 5.2.3 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. 5.2.4 Represent the probability of an event as a fraction, percent, ratio, or decimal. 5.2.5 Identify mutually exclusive events. 5.2.6 Recognize that the sum of the probability of an event and the probability of its complement is equal to one. 5.2.7 Determine whether a game or process is fair.


40



Lesson 11.9 (pp. 633–639) Independent and Dependent Events

5.1.8 Make predictions and describe the limitations of the predictions when using data samples. 5.2.1 Conduct experiments to approximate the probability of simple events. 5.2.1 Conduct experiments to approximate the probability of simple events. 5.2.2 Recognize that results of an experiment more closely approximate the actual or theoretical probability of an event as the number of trials increases. 5.2.4 Represent the probability of an event as a fraction, percent, ratio, or decimal. 5.2.6 Recognize that the sum of the probability of an event and the probability of its complement is equal to one 5.2.7 Determine whether a game or process is fair.


41



Chapter 12 (pp. 648–703)

Lesson 12.1 (pp. 651–655) Polynomials

5.2.4 Represent the probability of an event as a fraction, percent, ratio, or decimal.

Lesson 12.2 (pp. 656–661) Adding and Subtracting Polynomials

2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 3.2.2 Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication.

Lesson 12.3 (pp. 662–666) Multiplying Monomials and Polynomials

Lesson 12.4 (pp. 667–672) Multiplying Binomials

2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 3.2.2 Represent and explain numerical and algebraic relationships using geometric models, e.g., rectangular models for multiplication.

Lesson 12.5 (pp. 674–678) Other Rules of Exponents

1.2.1 Recognize and create equivalent forms of a rational number. 4.1.2 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.

Lesson 12.6 (pp. 679–685) Quadratic Functions

1.1.4 Justify the steps used in solving problems using correct notation. 2.1.1 Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.1.2 Describe simple patterns using a mathematical rule or algebraic expression. 2.2.4 Solve one– and two–step single–variable equations and inequalities. 2.3.1 Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures.


42



Lesson 12.7 (pp. 686–691) Exponential Growth and Decay

1.2.1 Recognize and create equivalent forms of a rational number. 2.1.1 Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.1.2 Describe simple patterns using a mathematical rule or algebraic expression. 2.2.4 Solve one– and two–step single–variable equations and inequalities. 2.3.1 Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 4.2.3 Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet.

Lesson 12.8 (pp. 692–697) Sequences

1.1.4 Justify the steps used in solving problems using correct notation. 2.1.2 Describe simple patterns using a mathematical rule or algebraic expression. 2.1.3 Create and extend simple numeric and visual patterns, including those that have a recursive nature (e g., Fibonacci numbers, triangular and square numbers). 2.2.4 Solve one– and two–step single–variable equations and inequalities. 4.2.3 Solve problems involving rates and derived measures, e.g., miles per hour, kilometers per liter, cubic feet.


43



Chapter 13 (pp. 706–757)

Lesson 13.1 (pp. 709–715) Angle Relationships

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

Lesson 13.2 (pp. 716–720) Angles and Parallel Lines

Lesson 13.3 (pp. 721–727) Angles and Polygons

3.1.3 Classify two– and three–dimensional objects according to the defining characteristics.

Lesson 13.4 (pp. 729–733) Translations

1.1.4 Justify the steps used in solving problems using correct notation. 2.3.2 Graph ordered pairs of rational numbers on a rectangular coordinate system. 3.3.2 Translate a geometric shape a given distance on a coordinate plane and identify the vertices.

Lesson 13.5 (pp. 734–739) Reflections and Symmetry

2.1.1 Represent a variety of relations and functions using tables, graphs, manipulatives, verbal rules, or algebraic rules. 2.3.1 Create a table, graph, or algebraic expression to represent the relationship between two variables. 2.3.2 Graph ordered pairs of rational numbers on a rectangular coordinate system. 2.3.4 Model real-world problems using various representations, such as graphs, tables, equations, manipulatives, and pictures. 3.3.1 Reflect a geometric shape across a line in a coordinate plane and identify the coordinates of the vertices. 3.3.2 Translate a geometric shape a given distance on a coordinate plane and identify the vertices.


44



Lesson 13.6 (pp. 740–746) 2.3.2 Graph ordered pairs of rational numbers on a rectangular coordinate system. 3.3.1 Reflect a geometric shape across a line in a coordinate plane and identify the coordinates of the vertices. 3.3.2 Translate a geometric shape a given distance on a coordinate plane and identify the vertices.

Lesson 13.7 (pp. 747–751) Dilations

2.3.2 Graph ordered pairs of rational numbers on a rectangular coordinate system. 3.2.1 Create and interpret scale drawings. 4.2.2 Solve problems involving scale factors using ratios and proportions.

UT 19711/2006

2005 CC2

pre-algebra - mcdougal littell · pre-algebra correlated to ... 1.3.6 add or multiply numbers using...

Documents