ILLINOIS STATE MATHEMATICS GOALS



ILLINOIS STATE MATHEMATICS GOALS

High School Level

GRADE ©2001 Basic Math Skills ©2001 Consumer Mathematics ©2001 Life Skills Math ©2001 Algebra ©1998 & Geometry ©2001

ILLINOIS STATE MATHEMATICS GOALS

High School Level

State Goal 6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.

|LEARNING STANDARD |GRADE |BASIC MATH SKILLS |CONSUMER MATHEMATICS |LIFE SKILLS MATH |ALGEBRA |GEOMETRY |

|A. Demonstrate knowledge |Early High School: | | | | | |

|and use of numbers and |6.A.4 Identify and apply the associative, |Ch 10: Lesson 1; Ch 13: |Ch 12: Lesson 2 | |Ch 2: Lessons 1-10 |Ch 8: Lessons 3, 6; Ch |

|their representations in |commutative, distributive and identity properties |Lesson 6 | | | |10: Lessons 2-5 |

|a broad range of |of real numbers, including special numbers such as| | | | | |

|theoretical and practical|pi and square roots. | | | | | |

|settings. | | | | | | |

| |Late High School: | | | | | |

| |6.A.5 Perform addition, subtraction and | | | | | |

| |multiplication of complex numbers and graph the | | | |Ch 1: Lessons 8, 9, 11; Ch|Ch 4: Lessons 5-7 |

| |results in the complex plane. |Ch 13: Lessons 10-13 | | |2: Lessons 1-6; Ch 3: | |

| | | | | |Lessons 2-6 | |

|B. Investigate, represent|Early High School: | | | | | |

|and solve problems using |6.B.4 Select and use appropriate arithmetic |See “Problem Solving” |Throughout. Examples: Ch|Throughout. Examples: Ch|Examples: “Problem | |

|number facts, operations |operations in practical situations including |exercises throughout. |1: Lessons 5, 6, Ch 3: |3: Lessons 1-3; Ch 5: |Solving” exercises in Ch | |

|(addition, subtraction, |calculating wages after taxes, developing a budget|Examples: Ch 1: Lessons 4,|Lessons 2-4; Ch 4: |Lessons 1-3; Ch 6: |3: Lessons 2, 6, 11, | |

|multiplication, division)|and balancing a checkbook. |7; Ch 3: Lessons 9-12, 14;|Lessons 3, 5-14; Ch 10: |Lessons 1-4; Ch 7: |Application; Ch 4: Lessons| |

|and their properties, | |Ch 4: Lessons 4-6, 8-9 |Lessons 1-9 |Lessons 1-4; Ch 8: |2-8; Ch 5: Lessons 6, 7, 8| |

|algorithms and | | | |Lessons 1, 2, Ch 9: | | |

|relationships. | | | |Lessons 1, 2 | | |

| | | | | | | |

| | |Ch 1: Lesson 8; Ch 4: | | |Ch 1: Lesson 10; Ch 5: | |

| | |Lesson 7 |Review 10, 35 |Review 10, 35 |Lessons 1-10, Application | |

| |Late High School: | | | | | |

| |6.B.5 Identify, represent and apply numbers | | | | | |

| |expressed in exponential, logarithmic and | | | | |Ch 8: Lessons 1-7 |

| |scientific notation using contemporary technology.| | | | | |

|C. Compute and estimate |Early High School: | | | | | |

|using mental mathematics,|6.C.4 Determine whether exact values or |Ch 4: Lessons 3, 8; Ch 6: |Examples: Ch 1: Lesson |Examples: Ch 1: Lesson | | |

|paper-and-pencil methods,|approximations are appropriate (e.g., bid a job, |Lesson 3; Ch 8: Lesson 3 |2; Ch 2: Lesson 11; Ch |4; Ch 2: Lesson 4; Ch 3:| | |

|calculators and |determine gas mileage for a trip). | |7: Lesson 9; Ch 8: |Lesson 3; Ch 9: Lesson 1| | |

|computers. | | |Lesson 2; Ch 9: Lesson 1| | | |

| | | | | | | |

| | | | | | | |

| |Late High School: | |Examples: Ch 1: Lesson |Examples: Ch 1: Lesson | | |

| |6.C.5 Determine the level of accuracy needed for |Ch 4: Lessons 3, 8; Ch 6: |8; Ch 3: Lesson 3; Ch 8:|4; Ch 2: Lessons 3, 4; | | |

| |computations involving measurement and irrational |Lesson 3; Ch 8: Lesson 3 |Lessons 2, 9; Ch 11: |Ch 6: Lesson 4; Ch 16: |Ch 2: Lesson 9 |Ch 8: Lesson 4; Ch 10: |

| |numbers. | |Lesson 8 |Lesson 7 | |Lesson 3 |

|D. Solve problems using |Early High School: | | | | | |

|comparison of quantities,|6.D.4 Solve problems involving recipes or |Ch 5: Lesson 1; Ch 6: |Examples: Ch 6: Lessons |Examples: Ch 5: Lessons |Ch 4: Lessons 2-4, 6-8; Ch|Ch 6: Lessons 1, 3, 4; |

|ratios, proportions and |mixtures, financial calculations and geometric |Lessons 1-14; Ch 8: Lesson|2-4, 9; Ch 9: Lessons |1-3; Ch 12: Lessons 3, |8: Lesson 7 |Ch 7: Lessons 1-5 |

|percents. |similarity using ratios, proportions and percents.|8; Ch 12: Lesson 1 |1-5; Ch 10: Lesson 3 |4; Ch 13: Lessons 2-4; | | |

| | | | |Ch 16: Lessons 3, 7 | | |

| | | | | | | |

| |Late High School: | | | | | |

| |6.D.5 Solve problems involving loans, mortgages |Ch 6: Lessons 10-12 |Examples: Ch 4: Lessons |Ch 14: Lessons 1-4 | | |

| |and other practical applications involving | |4, 5; Ch 5: Lesson 3; Ch| |Ch 4: Lesson 6; Ch 5: | |

| |geometric patterns of growth. | |10: Lessons 1-3 | |Application | |

STATE GOAL 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.

|LEARNING STANDARD |GRADE |BASIC MATH SKILLS |CONSUMER MATHEMATICS |LIFE SKILLS MATH |ALGEBRA |GEOMETRY |

|A. Measure and compare |Early High School: | | | | | |

|quantities using |7.A.4a Apply units and scales to describe and |Ch 8: Lessons 1-10; Ch 9: |Examples: Ch 2: Lessons |Examples: Ch 1: Lessons |Ch 7: Lessons 1-8; Ch 9: |Ch 6: Lessons 1-4; Ch |

|appropriate units, |compare numerical data and physical objects. |Lessons 1-11; Ch 10: |10, 11; Ch 3: Lesson 9; |1-5; Ch 3: Lesson 2; Ch |Lessons 1, 2 |7: Lessons 1-5; Ch 8: |

|instruments and methods. | |Lessons 1-5 |Ch 4: Lessons 6-8; Ch 6:|5: Lesson 1; Ch 10: | |Lessons 1-7; Ch 9: |

| | | |Lessons 1, 6 |Lesson 6; Ch 16: Lesson | |lessons 1-6; Ch 10: |

| | | | |3; Ch 17: Lessons 1-4 | |Lessons 1-9; Ch 11: |

| | | | | | |Lessons 1-5 |

| | | | | | | |

| | | | | | |Ch 4: Lesson 6; Ch 8: |

| | | | |Examples: Ch 2: Lessons | |Lessons 1-7; Ch 9: |

| | | |Examples: Ch 5: Lessons |1-4; Ch 5: Lesson 1; Ch | |Lessons 1-6; Ch 10: |

| |7.A.4b Apply formulas in a wide variety of |Ch 8: Lessons 1-10; Ch 9: |5-12; Ch 7: Lessons |10: Lessons 2, 5, 8; Ch |Examples: Ch 1: Lesson 11;|Lessons 1-9; Ch 11: |

| |theoretical and practical real-world measurement |Lessons 1-11; Ch 10: |2-13; Ch 8: Lessons 3, |11: Lessons 1-5; Ch 17: |Ch 2: Lessons 2, 4, 5, 9; |Lessons 1-5 |

| |applications involving perimeter, area, volume, |Lessons 1-5; Ch 12: |10, 11; Ch 11: Lessons |Lesson 4 |Ch 4: Lesson 4; Ch 5: | |

| |angle, time, temperature, mass, speed, distance, |Lessons 3, 4 |1-8 | |Lessons 7, 8; Ch 6: Lesson| |

| |density and monetary values. | | | |3; Ch 12: Lessons 1-3 | |

| | | | | | | |

| |Late High School: | | |Ch 17: Lessons 1-2 | | |

| |7.A.5 Apply nonlinear scales (e.g., Richter, | |Ch 6: Lessons 6-8; Ch | | | |

| |decibel, pH) to solve practical problems. | |10: Lesson 2 | | | |

|B. Estimate measurements |Early High School: | | | | | |

|and determine acceptable |7.B.4 Estimate and measure the magnitude and | |Ch 5: Lessons 5-12 |Ch 10: Lessons 2, 6 |Ch 1: Application; Ch 4: |Ch 4: Lessons 4, 6, |

|levels of accuracy. |directions of physical quantities (e.g., velocity,| | | |Lesson 4; Ch 8: Lesson 4; |Application |

| |force, slope) using rulers, protractors and other | | | |Ch 9: Lessons 4, 7, 8; Ch | |

| |scientific instruments including timers, | | | |10: Lessons 1-3; Ch 11: | |

| |calculators and computers. | | | |Application; Ch 13: | |

| | | | | |Application | |

| | | | | | | |

| |Late High School: | | | | | |

| |7.B.5 Estimate perimeter, area, volume, and | | | | | |

| |capacity of irregular shapes, regions and solids | |Ch 7: Lessons 3-13 |Ch 2: Lessons 1-4; Ch | |Ch 10: Lesson 3 |

| |and explain the reasoning supporting the estimate.|Ch 8: Lesson 3 | |16: Lessons 1, 3-7 | | |

|C. Select and use |Early High School: | | | | | |

|appropriate technology, |7.C.4a Make indirect measurements, including |Ch 12: Lessons 2, 3 |Ch 6: Lessons 3, 5, 17; | |Ch 3: Lesson 9; Ch 8: |Ch 7: Lessons 1-5; Ch |

|instruments and formulas |heights and distances, using proportions (e.g., | |Ch 9: Lesson 3; Ch 12: | |Lesson 7; Ch 12: Lesson 7 |8: Lesson 4 |

|to solve problems, |finding the height of a tower by its shadow). | |Lesson 7 | | | |

|interpret results and | | | | | | |

|communicate findings. |7.C.4b Interpret scale drawings and models using | | | | | |

| |maps and blueprints. |Ch 12: Lessons 3, 4 |Ch 8: Lesson 2; Ch 12: | | |Ch 7: Lessons 4, 5 |

| | | |Lesson 6 |Ch 16: Lesson 3 | | |

| |7.C.4c Convert within and between measurement | | | | |Ch 11: Lesson 5 |

| |systems and monetary systems using technology | |Ch 8: Lesson 7 | | | |

| |where appropriate. | | |Ch 10: Lesson 8 | | |

| | | | | | | |

| |Late High School: | | | | | |

| |7.C.5a Use dimensional analysis to determine units| | | | |Ch 5: Lessons 1-9; Ch |

| |and check answers in applied measurement problems.|Ch 8: Lesson 3; Ch 9: | | | |6: Lessons 1-4; Ch 7: |

| | |Lesson 2 |Ch 7: Lessons 3-13 | |Ch 3: Lesson 9; Ch 12: |Lessons 1-3; Ch 8: |

| | | | |Ch 2: lessons 1-4; Ch |Lessons 1-7 |Lessons 1-7; Ch 9: |

| | | | |16: Lessons 1-7 | |Lessons 1-6; Ch 10: |

| | | | | | |Lessons 1-9; Ch 11: |

| | | | | | |Lessons 1-5 |

| | | | | | |Ch 5: Lessons 1-9; Ch |

| | | | | | |6: Lessons 1-4; Ch 7: |

| | | | | | |Lessons 1-3; Ch 8: |

| |7.C.5b Determine how changes in one measure may | | | | |Lessons 1-7; Ch 9: |

| |affect other measures (e.g., what happens to the | | | | |Lessons 1-6; Ch 10: |

| |volume and surface area of a cube when the side of|Ch 8: Lessons 5-10; Ch 9: |Ch 7: Lessons 3-13; Ch | |Ch 1: Lesson 11, |Lessons 1-9; Ch 11: |

| |the cube is halved.) |Lessons 6-11; Ch 10: |12: Lesson 6 |Ch 2: Lessons 1-4; Ch |Application; Ch 3: Lesson |Lessons 1-5 |

| | |Lessons 1-3 | |16: Lessons 1-7 |9; Ch 12: Lessons 1-7 | |

STATE GOAL 8: Use algebraic and analytic methods to identify and describe patterns and relationships in data, solve problems and predict results.

|LEARNING STANDARD |GRADE |BASIC MATH SKILLS |CONSUMER MATHEMATICS |LIFE SKILLS MATH |ALGEBRA |GEOMETRY |

|A. Describe numerical |Early High School: | | | | | |

|relationships using |8.A.4a Use algebraic methods to convert repeating |Ch 4: Lesson 11 | | |Ch 11: Lessons 1-3 | |

|variables and patterns. |decimals to fractions. | | | | | |

| | | | | | | |

| |8.A.4b Represent mathematical patterns and | | | |Ch 4: Lessons 4, 6, | |

| |describe their properties using variables and | | | |Applications |Ch 3: Application; Ch |

| |mathematical symbols. | | | | |5: Application; Ch 6: |

| | | | | | |Lessons 5-8; Ch 9: |

| | | | | | |Application |

| | | | | | | |

| |Late High School: | | | | | |

| |8.A.5 Solve mathematical problems involving | | | | | |

| |recursive patterns and use models that employ such| | | | | |

| |relationship. | | |Ch 3: Lesson 1; Ch 12: | | |

| | | | |Lessons 2, 4-8 | | |

|B. Interpret and describe|Early High School: | | | | | |

|numerical relationships |8.B.4a Represent algebraic concepts with physical |Ch 13: Lessons 1-13 | | |Examples: Ch 3: Lessons |Ch 4: Lessons 1-7, |

|using tables, graphs and |materials, words, diagrams, tables, graphs, | | | |10, 11; Ch 4: Lessons 1-8;|Application |

|symbols. |equations and inequalities and use appropriate | | | |Ch 9: Lessons 1-9, | |

| |technology. | | | |Application; Ch 10: | |

| | | | | |Lessons 1-8, Application | |

| | | | | | | |

| | | | | |Ch 1: Lesson 3; Ch 2: | |

| |8.B.4b Use the basic functions of absolute value, |Ch 13: Lessons 2, 9, 12 | | |Lessons 9, 10; Ch 9: |Ch 8: Lessons 3, 6 |

| |square root, linear, quadratic and step to | |Ch 12: Lesson 2 | |Lessons 1-9; Ch 10: | |

| |describe numerical relationships. | | | |Lessons 1-8; Ch 11: | |

| | | | | |Lessons 3-9; Ch 13: | |

| | | | | |Lessons 1-5 | |

| | | | | | | |

| | | | | | | |

| | | | | |Ch 1: Lesson 10; Ch 5: | |

| |Late High School: | | | |Lessons 1-10, Application;| |

| |8.B.5 Use functions including exponential, |Ch 1: Lesson 8; Ch 4: | | |Ch 6: Lessons 2-8 |Ch 4: Lesson 1-7 |

| |polynomial, rational, parametric, logarithmic, and|Lesson 7 | | | | |

| |trigonometric to describe numerical relationships.| |Review 10 |Review 10 | | |

|C. Solve problems using |Early High School: | | | | | |

|systems of numbers and |8.C.4a Analyze and report the effects of changing |Ch 1: Lesson 8; Ch 4: | | |Ch 5: Lessons 1-10; Ch 6: |Ch 4: Lessons 1-7 |

|their properties. |coefficients, exponents and other parameters on |Lesson 7 | | |Lessons 2-8; Ch 9: Lessons| |

| |functions and their graphs. | | | |2-4, 7, 8 | |

| |8.C.4b Apply algebraic properties and procedures | | | | | |

| |with matrices, vectors, functions and sequences | | | | | |

| |using data found in business, industry and | | | | | |

| |consumer situations. | | | | | |

| | | | | | | |

| |Late High School: | | | | | |

| |8.C.5 Use polynomial, exponential, logarithmic and| | | | | |

| |trigonometric functions to model situations. | | | |Ch 1: Lesson 10; Ch 5: | |

| | | | | |Lessons 1-10, Application;|Ch 8: Lessons 1-7 |

| | |Ch 1: Lesson 8; Ch 4: | | |Ch 6: Lessons 2-8 | |

| | |Lesson 17; Ch 13: Lessons | | | | |

| | |10-12 | | | | |

|D. Use trigonometric |Early High School: | | | | | |

|ratios and circular |8.D.4 Formulate and solve linear and quadratic | | | |Ch 3: Lessons 1-11; Ch 9: |Ch 4: Lessons 1-7 |

|functions to solve |equations and linear inequalities algebraically | | | |Lessons 1-9; Ch 10: | |

|problems. |and investigate nonlinear inequalities using | | | |Lessons 1-8; Ch 13: | |

| |graphs, tables, calculators and computers. | | | |Lessons 1-5 | |

| | | | | | | |

| |Late High School: | | | | | |

| |8.D.5 Formulate and solve nonlinear equations and | | | |Ch 4: Lesson 6; Ch 13: | |

| |systems including problems involving inverse | | | |Lessons 1-5 | |

| |variation and exponential and logarithmic growth | | | | | |

| |and decay. | | | | | |

STATE GOAL 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space.

|LEARNING STANDARD |GRADE |BASIC MATH SKILLS |CONSUMER MATHEMATICS |LIFE SKILLS MATH |ALGEBRA |GEOMETRY |

|A. Demonstrate and apply |Early High School: | | | | | |

|geometric concepts |9.A.4a Construct a model of a three-dimensional |Ch 12: Lesson 1 | | | | |

|involving points, lines, |figure from a two-dimensional pattern. | | | | | |

|planes, and space. |9.A.4b Make perspective drawings, tessellations | | | | | |

| |and scale drawings, with and without the use of |Ch 12: Lessons 1-4 |Ch 8: Lesson 2; Ch 12: |Ch 16: Lesson 3 |Ch 8: Lesson 7 |Ch 6: Lessons 3, 5, 7, |

| |technology. | |Lesson 6 | | |8, Application; Ch 7: |

| | | | | | |Lessons 4, 5, |

| | | | | | |Application; Ch 8: |

| | | | | | |Application; Ch 9: |

| | | | | | |Application |

| |Late High School: | | | | | |

| |9.A.5 Use geometric figures and their properties | | | | |Ch 2, 3, 5, 6, 7, 8, |

| |to solve problems in the arts, the physical and |Ch 8: Lessons 5, 6, 8, 10;| | | |11: Application; Ch 6: |

| |life sciences and the building trades, with and |Ch 9: Lesson 7; Ch 10: |Ch 7: Lessons 3-13; Ch |Ch 2: Lessons 1-4; Ch 6:|Ch 8: Lesson 7; Ch 12: |Lesson 3; Ch 7: Lessons|

| |without the use of technology. |Lessons 1, 3; Ch 12: |12: Lessons 5, 6 |Lessons 1-4; Ch 16: |Lessons 4, 7 |4, 5; Ch 8: Lesson 4 |

| | |Lessons 2, 3 | |Lessons 1-7 | | |

|B. Identify, describe, |Early High School: | | | | | |

|classify and compare |9.B.4 Recognize and apply relationships within and|Ch 7: Lessons 1-5; Ch 8: | | |Ch 8: Lesson 7; Ch 12: |Chapters 5-12 |

|relationships using |among geometric figures. |Lessons 4-10; Ch 9: | | |Lessons 1-7 | |

|points, lines, planes and| |Lessons 2, 4-11; Ch 10: | | | | |

|solids. | |Lessons 1-3; Ch 12: | | | | |

| | |Lessons 1-3 | | | | |

| | | | | | | |

| |Late High School: |Ch 12: Lessons 1-3 | | | | |

| |9.B.5 Construct and use two- and three- | | | |Ch 8: Lesson 7; Ch 12: | |

| |dimensional models of objects that have practical | |Ch 8: Lesson 2; Ch 12: |Ch 16: Lesson 3 |Lesson 7 |Ch 7: Lessons 4, 5, |

| |applications (e.g., blueprints, topographical | |Lesson 6 | | |Application; Ch 8: |

| |maps, scale models). | | | | |Lesson 4, Application; |

| | | | | | |Ch 9: Lessons 4, 6, |

| | | | | | |Application; Ch 10: |

| | | | | | |Lesson 2 |

|C. Construct convincing |Early High School: | | | | | |

|arguments and proofs to |9.C.4a Construct and test logical arguments for |Ch 8: Lessons 4-10; Ch 9: |Ch 7: Lessons 3-13 |Ch 2: Lessons 1-4; Ch 6:|Ch 12: Lessons 1-7 |Ch 2: Lessons 1-5; Ch |

|solve problems. |geometric situations using technology where |lessons 5-11; Ch 10: | |Lessons 1-4; Ch 16: | |3: Lesson 6; Ch 5: |

| |appropriate. |Lessons 1-3; Ch 12: | |Lessons 1-7 | |Lesson 9 |

| | |Lessons 1-3 | | | | |

| | | | | | | |

| |9.C.4b Construct and communicate convincing |Ch 8: Lessons 4-10; Ch 9: |Ch 7: Lessons 3-13 |Ch 2: Lessons 1-4; Ch 6:|Ch 12: Lessons 1-7 |Ch 2: Lessons 1-5; Ch |

| |arguments for geometric situations. |Lessons 5-11; Ch 10: | |Lessons 1-4; Ch 16: | |3: Lesson 6; Ch 5: |

| | |Lessons 1-3; Ch 12: | |Lessons 1-7 | |Lesson 9 |

| | |Lessons 1-3 | | | | |

| | | | | | | |

| |9.C.4c Develop and communicate mathematical proofs| | | | |Ch 2: Lesson 5; Ch 3: |

| |(e.g., two-column, paragraph, indirect) and | | | | |Lesson 6; Ch 5: Lesson |

| |counter examples for geometric statements. | | | | |9 |

| | | | | | | |

| |Late High School: | | | | | |

| |9.C.5a Perform and describe an original | | | | | |

| |investigation of a geometric problem and verify | | | | |Throughout |

| |the analysis and conclusions to an audience. | | | | | |

| |9.C.5b Apply physical models, graphs, coordinate | | | | | |

| |systems, networks and vectors to develop solutions| | | | | |

| |in applied context (e.g., bus routing, areas of |See “Problem Solving” | | | |Examples: “Problem |

| |irregular shapes, describing forces and other |exercises in Chapters |See “Problem Solving” |See “Problem Solving” | |Solving” exercises in |

| |physical quantities.) |7-10, 12 |exercises in Chapters 7,|exercises in Chapters 2,| |Ch 3: Lesson 6; Ch 5: |

| | | |8 |5, 6, 10, 11, 16 | |Lesson 6; Ch 6: Lessons|

| | | | | | |1, 3; Ch 7: Lessons 2, |

| | | | | | |4, 5. See also |

| | | | | | |“Application” exercises|

| | | | | | |at the end of each |

| | | | | | |chapter. |

|D. Use trigonometric |Early High School: | | | | | |

|ratios and circular |9.D.4 Analyze and solve problems involving |Ch 9: Lessons 8, 9, 11 | | |Ch 12: Lesson 7 |Ch 5: Lessons 1-9; Ch |

|functions to solve |triangles (e.g., distances which cannot be | | | | |6: Lessons 1-8; Ch 7: |

|problems. |measured directly) using trigonometric ratios. | | | | |Lesson 2; Ch 8: Lessons|

| | | | | | |1-7 |

| | | | | | | |

| |Late High School: | | | | | |

| |9.D.5 Analyze and solve problems involving |Ch 6: Lessons 11, 12 | | | | |

| |periodic patterns (e.g., sound waves, tide | |Ch 3: Lesson 10; Ch 4: |Ch 3: Lesson 1; Ch 6: |Ch 4: Lesson 6; Ch 5: | |

| |variations) using circular functions and | |Lesson 2; Ch 5: Lesson |Lesson 4; Ch 10: Lesson |Application | |

| |communicate results orally and in writing. | |3; Ch 8: Lesson 3; Ch |6; Ch 11: Lessons 3-5; | | |

| | | |10: Lessons 1-3 |Ch 12: Lessons 1, 2, | | |

| | | | |4-8; Ch 14: Lessons 1-4;| | |

| | | | |Ch 17: Lessons 1, 2 | | |

STATE GOAL 10: Collect, organize and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability.

|LEARNING STANDARD |GRADE |BASIC MATH SKILLS |CONSUMER MATHEMATICS |LIFE SKILLS MATH |ALGEBRA |GEOMETRY |

|A. Organize, describe and|Early High School: | | | | | |

|make predictions from |10.A.4a Represent and organize data by creating |Ch 11: Lessons 1-7 |Ch 6: Lesson 7; Ch 9: |Ch 1: Lesson 4; Ch 3: |Ch 7: Lessons 1-3 |Ch 10: Application |

|existing data. |lists, charts, tables, frequency, distributions, | |Lessons 2, 4; Ch 11: |Lesson 1; Ch 4: Lesson | | |

| |graphs, scatterplots and box-plots. | |Lessons 2, 4, 6 |5; Ch 10: Lessons 1-9; | | |

| | | | |Ch 11: Lesson 4; Ch 13: | | |

| | | | |Lesson 5; Ch 17: Lessons| | |

| | | | |1, 2 | | |

| | | | | | | |

| | | | |Ch 3: Lesson 3; Ch 12: | | |

| | | | |Lessons 4, 6 | | |

| |10.A.4b Analyze data using mean, median, mode, |Ch 1: Lesson 7; Ch 11: |Ch 4: Lesson 7; Ch 9: | |Ch 7: Lesson 2 | |

| |range, variance and standard deviation of a data |Lesson 2 |Lesson 1 | | | |

| |set, with and without the use of technology. | | | | | |

| | | | |Ch 4: Lessons 2, 5, 6; | | |

| |10.A.4c Predict from data using interpolation, | | |Ch 12: Lessons 1-8 | | |

| |extrapolation and trend lines, with and without | | | | | |

| |the use of technology. |Ch 11: Lessons 1-7 |Ch 6: Lesson 7; Ch 9: | |Ch 7: Lessons 1-8 | |

| | | |Lessons 2, 4; Ch 11: | | | |

| |Late High School: | |Lesson 2 | | | |

| |10.A.5 Construct a statistics-based presentation, | | | | | |

| |individually and as members of a team, to | | | | | |

| |communicate and justify the results of a project. | | | |Ch 7: Lesson 1 | |

|B. Formulate questions, |Early High School: | | | | | |

|design data collection |10.B.4 Design and execute surveys or experiments, | | | |Ch 7: Lesson 1 | |

|methods, gather and |gather data to answer relevant questions, and | | | | | |

|analyze data and |communicate results and conclusions to an audience| | | | | |

|communicate findings. |using traditional methods and contemporary | | | | | |

| |technology. | | | | | |

| | | | | | | |

| |Late High School: | | | | | |

| |10.B.5 Design a statistical experiment to answer a| | | | | |

| |question about a realistic situation, conduct the | | | | | |

| |experiment, use the statistics to interpret the | | | |Ch 7: Lesson 1 | |

| |data, and communicate the results, individually | | | | | |

| |and as members of a team. | | | | | |

|C. Determine, describe |Early High School: | | | | | |

|and apply the |10.C.4a Solve problems of chance using the | | |Ch 4: Lessons 1-7 |Ch 7: Lessons 4-7 | |

|probabilities of events. |principles of probability including conditional | | | | | |

| |settings. | | |Ch 4: Lessons 1-7 |Ch 7: Lessons 4-7 | |

| |10.C.4b Design and conduct simulations (e.g., | | | | | |

| |waiting times at restaurants, probabilities of | | | | | |

| |births, likelihood of game prizes), with and | | | | | |

| |without the use of technology. | | | | | |

| |10.C.4c Propose and interpret discrete probability| | | | | |

| |distributions, with and without the use of | | | | | |

| |technology. | | | | | |

| | | | | | | |

| |Late High School: | | | | | |

| |10.C.5a Compute conditional probabilities and the | | |Ch 4: Lesson 4 |Ch 7: Lesson 7 | |

| |probabilities of independent events. | | | | | |

| |10.C.5b Compute probabilities in counting | | | | | |

| |situations involving permutations and | | | |Ch 7: Lesson 8 | |

| |combinations. | | | | | |

| |10.C.5c Make predictions using probabilities | | | | | |

| |associated with normally distributed events. | | |Ch 4: Lesson 6 |Ch 7: Lessons 4-7 | |

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