Idaho State Standards Alignment Grades One through Ten

Transcription

1 Idaho State Standards Alignment Grades One through Ten Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other countries. P.O. Box 8036 Wisconsin Rapids, WI Phone: (800) Fax: (715)

2 Idaho State Standards Alignment The Report is a standardsoriented document showing the entire list of standards for the subject and grade on the left side of the report with the aligning product objectives on the right side. This alignment report shows the breadth of standards coverage for the purpose and focus of this product. Note to Educator...iii Grade Grade Grade Grade Grade Grade Grade Grade Algebra Algebra Geometry...75 Precalculus...85 Grade by Renaissance Learning, Inc. All rights reserved. No portion of this document may be reproduced, by any process or technique, without the express written consent of Renaissance Learning, Inc. ii

3 P.O. Box 8036 Wisconsin Rapids, WI Phone: (800) Fax: (715) Note to Educator: Thank you for your interest in Renaissance Learning technology. The attached document contains the alignment between the software and/or instructional materials and the skills described in the state standards documentation. At Renaissance Learning, we recognize the impact that the standards-based reform movement and high-stakes standardized testing have on schools, and we share the concerns of educators and administrators that students perform well on high-stakes assessments. We hope this report answers your questions regarding the alignment of Renaissance Learning technology and materials to your state standards. If you have any questions about the attached document, please feel free to call us at (800) Sincerely, Renaissance Sales and Funding Staff iii

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5 Accelerated Math Grade 1 Idaho, Math, 2006, Grade 1, Content Accelerated Math Second Edition Grade 1 ID 1.M.1 - Number and Operation ID 1.M Understand and use numbers. ID 1.M Demonstrate Topic 1 - Numbers and knowledge of our numeration system by counting forward by ones and tens to 100, by counting backward by ones from 20, and by counting with ordinal numbers. Obj. 6 - Count on by ones from a number less than 100 Obj. 7 - Count back by ones from a number less than 20 Obj Count by 5s or 10s to 100 starting from a multiple of 5 or 10, respectively Obj Answer a question involving an ordinal number up to "tenth" ID 1.M Read, write, compare, and order whole numbers to 100. ID 1.M Identify place value through 99. ID 1.M Identify each and state the value of pennies, nickels, and dimes. ID 1.M Select strategies appropriate for solving a problem. ID 1.M Use appropriate vocabulary. ID 1.M Perform computations accurately. Page 1 of 99 Topic 1 - Numbers and Topic 1 - Numbers and Topic 1 - Numbers and Obj. 1 - Read a whole number to 30 Obj. 2 - Read a whole number from 31 to 100 Obj. 3 - Determine the word form of a whole number to 30 Obj. 4 - Determine the word form of a whole number from 31 to 100 Obj Determine one more than or one less than a given number Obj Compare whole numbers to 100 using words Obj Order whole numbers to 100 in ascending order Obj Order whole numbers to 100 in descending order Obj Represent a 2-digit number as tens and ones Obj Determine the 2-digit number represented as tens and ones Obj Determine the value of a digit in a 2-digit number Obj Compare sets of objects using words Obj Compare whole numbers to 100 using words

6 Accelerated Math Grade 1 Idaho, Math, 2006, Grade 1, Content Accelerated Math Second Edition Grade 1 ID 1.M Use objects, pictures, and symbols to add up to 10 and subtract from up to 9. Topic 1 - Numbers and Obj Determine the missing portion in a partially screened (hidden) collection of up to 10 objects ID 1.M Solve addition problems using objects, pictures, and symbols for sums up to 10. ID 1.M Solve subtraction problems using objects, pictures, and symbols from up to 9. ID 1.M Use appropriate vocabulary. ID 1.M Estimate and judge reasonableness of results. Page 2 of 99 Topic 1 - Numbers and Topic 1 - Numbers and Obj Determine the basic addition fact shown by a picture model Obj Determine the basic addition fact shown by a number-line model Obj Determine the basic subtraction fact shown by a picture model Obj Determine the basic subtraction fact shown by a numberline model Obj Apply the relationship between addition and counting on Obj Apply the relationship between subtraction and counting back Obj Relate a picture model to a basic addition fact Obj Determine the basic addition fact shown by a picture model Obj Determine the basic addition fact shown by a number-line model Obj Relate a picture model to a basic subtraction fact Obj Apply the relationship between addition and counting on Obj Determine the missing portion in a partially screened (hidden) collection of up to 10 objects Obj Determine the basic subtraction fact shown by a picture model Obj Determine the basic subtraction fact shown by a numberline model Obj Apply the relationship between subtraction and counting back

7 Accelerated Math Grade 1 Idaho, Math, 2006, Grade 1, Content Accelerated Math Second Edition Grade 1 ID 1.M Estimate a quantity of objects when shown a set of 10. ID 1.M Use estimation to evaluate the reasonableness of an answer. ID 1.M Use appropriate vocabulary. ID 1.M.2 - Concepts and Principles of Measurement ID 1.M Understand and use U.S. customary and metric measurements. ID 1.M Use non-standard tools and units for measuring length, volume (capacity), and weight. ID 1.M Estimate measurement using non-standard units. ID 1.M Tell time to the hour. ID 1.M Recite the days of the week, in order, and identify yesterday and tomorrow on a calendar. Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement ID 1.M Use appropriate vocabulary. ID 1.M Apply the concepts of rates, ratios, and proportions. ID 1.M Apply dimensional analysis. ID 1.M Apply appropriate techniques and tools to determine measurements. ID 1.M.3 - Concepts and Language of Algebra and Functions ID 1.M Use algebraic symbolism as a tool to represent mathematical relationships. ID 1.M Write an addition Topic 1 - Numbers and problem in both vertical and horizontal form. Topic 2 - Algebraic Thinking Obj Estimate length in nonstandard units Obj Tell time to the hour Obj Determine the basic addition fact shown by a picture model Obj Determine the basic addition fact shown by a number-line model Obj WP: Determine a basic addition- or subtraction-fact number sentence for a given situation Page 3 of 99

8 Accelerated Math Grade 1 Idaho, Math, 2006, Grade 1, Content Accelerated Math Second Edition Grade 1 ID 1.M Draw a picture and/or write a number sentence when given an addition word problem. Topic 2 - Algebraic Thinking Obj WP: Determine a basic addition- or subtraction-fact number sentence for a given situation ID 1.M Compare numbers to 99 using vocabulary (less than, greater than, equal to, more, less, same, fewer). ID 1.M Evaluate algebraic expressions. ID 1.M Solve algebraic equations and inequalities. ID 1.M Understand the concept of functions. ID 1.M Describe and extend a repeating pattern (e.g., ABACABAC). Topic 1 - Numbers and Topic 2 - Algebraic Thinking Obj Compare whole numbers to 100 using words Obj Extend a repeating picture pattern ID 1.M Use appropriate vocabulary. ID 1.M Represent equations, inequalities and functions in a variety of formats. ID 1.M Apply functions to a variety of problems. ID 1.M.4 - Concepts and Principles of Geometry ID 1.M Apply concepts of size, shape, and spatial relationships. ID 1.M Recognize, name, build, draw, and sort two- and threedimensional shapes (triangle, rectangle, square, circle, cone, cube, cylinder). ID 1.M Sort and classify objects by more than one attribute. ID 1.M Use appropriate vocabulary. Page 4 of 99 Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Topic 4 - Data Analysis and Statistics Topic 3 - Geometry and Measurement Obj Identify a circle, a triangle, a square, or a rectangle Obj Determine the group in which a geometric shape belongs Obj Determine the rule used to sort geometric shapes Obj Determine the common attributes in a set of geometric shapes Obj Determine the group in which a geometric shape belongs Obj Determine the rule used to sort geometric shapes Obj Determine the group in which an object belongs Obj Determine the rule used to sort objects Obj Determine the common attributes in a set of geometric shapes

9 Accelerated Math Grade 1 Idaho, Math, 2006, Grade 1, Content Accelerated Math Second Edition Grade 1 Obj Determine the rule used to ID 1.M Apply the geometry of right triangles. ID 1.M Apply graphing in two dimensions. ID 1.M Indicate whether a number is above or below a benchmark number (100 or less) on a number line. ID 1.M Represent and graph linear relationships. ID 1.M Use reasoning skills. ID 1.M.5 - Data Analysis, Probability, and Statistics ID 1.M Understand data analysis. ID 1.M Interpret information found in real object graphs and in pictographs to answer questions. ID 1.M Use appropriate vocabulary. ID 1.M Collect, organize, and display data. ID 1.M Gather and display data in real object graphs and in pictographs to answer a question. ID 1.M Apply simple statistical measurements. ID 1.M Understand basic concepts of probability. ID 1.M Make predictions or decisions based on data. Topic 4 - Data Analysis and Statistics Topic 4 - Data Analysis and Statistics Topic 4 - Data Analysis and Statistics sort geometric shapes Obj Determine the rule used to sort objects Obj Read a picture graph Obj Answer a question using information from a picture graph Obj Read a pictograph (1 symbol = 1 object) Obj Answer a question using information from a pictograph (1 symbol = 1 object) Obj Use a picture graph to represent groups of objects (1 symbol = 1 object) Obj Use a pictograph to represent groups of objects (1 symbol = 1 object) Page 5 of 99

10 Accelerated Math Grade 2 Idaho, Math, 2006, Grade 2, Content ID 2.M.1 - Number and Operation ID 2.M Understand and use numbers. ID 2.M Demonstrate knowledge of our numeration system by counting forward by twos, fives, and tens to 100 and by counting forward and backward by ones from any given number less than 100. Accelerated Math Second Edition Grade 2 Obj. 3 - Complete a skip pattern starting from a multiple of 2, 5, or 10 Obj. 4 - Complete a skip pattern of 2, 5, or 10 starting from any number ID 2.M Read, write, compare, and order whole numbers to 1,000. ID 2.M Identify place value through 999. ID 2.M Count the value of a collection of pennies, nickels, dimes, and quarters up to $1.00. ID 2.M Recognize mathematical information and select strategies appropriate for solving a problem. ID 2.M Use appropriate vocabulary. ID 2.M Perform computations accurately. ID 2.M Use strategies for addition and subtraction combinations through 18. Page 6 of 99 Obj. 1 - Read a whole number to 1,000 Obj. 2 - Determine the word form of a whole number to 1,000 Obj Compare whole numbers to 1,000 using words Obj Compare whole numbers to 1,000 using the symbols <, >, and = Obj Order whole numbers to 1,000 in ascending order Obj Order whole numbers to 1,000 in descending order Obj. 9 - Determine the value of a digit in a 3-digit number Obj Determine which digit is in a specified place in a 3-digit whole number Obj Represent a 3-digit number as hundreds, tens, and ones Obj Determine the 3-digit number represented as hundreds, tens, and ones Obj Compare whole numbers to 1,000 using words

11 Accelerated Math Grade 2 Idaho, Math, 2006, Grade 2, Content Accelerated Math Second Edition Grade 2 ID 2.M Add whole numbers with and without regrouping through 99. Obj Determine a number pair that totals 100 Obj Determine cent amounts that total a dollar Obj Add two 2-digit numbers with regrouping, given a model Obj Add money values using cents or dollars with regrouping Obj Add a 2-digit number to a 1- digit number with regrouping Obj Add two 2-digit numbers with regrouping Obj Add three 2-digit numbers with one regrouping, sum less than 100 Obj WP: Add or subtract up to 2- digit numbers with one regrouping ID 2.M Add three one-digit addends. ID 2.M Choose addition or subtraction to solve word problems and explain the choice. ID 2.M Use appropriate vocabulary. ID 2.M Estimate and judge reasonableness of results. ID 2.M Estimate to predict the sum of numbers through 99. ID 2.M Use estimation to evaluate the reasonableness of the sum of numbers through 99. ID 2.M Use appropriate vocabulary. ID 2.M.2 - Concepts and Principles of Measurement ID 2.M Understand and use U.S. customary and metric measurements. ID 2.M Select a tool that can measure a given attribute (ruler - length, cup - volume, balance - weight, clock - time, thermometer - temperature). ID 2.M Estimate length and time using standard units. ID 2.M Tell time using both digital and analog clocks to the half hour. Obj Estimate the sum of two 2- digit numbers Page 7 of 99

12 Accelerated Math Grade 2 Idaho, Math, 2006, Grade 2, Content Accelerated Math Second Edition Grade 2 ID 2.M Select the most appropriate unit to measure the time of a given situation (minutes, hours). ID 2.M Recite the months of the year, in order. ID 2.M Use appropriate vocabulary. ID 2.M Apply the concepts of rates, ratios, and proportions. ID 2.M Apply dimensional analysis. ID 2.M Apply appropriate techniques and tools to determine measurements. ID 2.M.3 - Concepts and Language of Algebra and Functions ID 2.M Use algebraic symbolism as a tool to represent mathematical relationships. ID 2.M Write addition and subtraction problems vertically and horizontally. ID 2.M Write a number sentence from an addition or subtraction problem-solving situation. ID 2.M Show the relationship between addition and subtraction using fact families. ID 2.M Compare numbers to 999 using the vocabulary words/phrases of less than, greater than, equal to. ID 2.M Evaluate algebraic expressions. ID 2.M Use the commutative property of addition. ID 2.M Solve addition problems using the commutative property (e.g., If = 12, then what is 5 + 7?). ID 2.M Solve algebraic equations and inequalities. ID 2.M Understand the concept of functions. ID 2.M Translate a repeating Topic 2 - Algebraic Thinking pattern from one representation to another (e.g., even, odd, even, odd translates to ABAB). Obj Compare whole numbers to 1,000 using words Obj Determine a repeating pattern corresponding to the same pattern expressed using different elements Page 8 of 99

13 Accelerated Math Grade 2 Idaho, Math, 2006, Grade 2, Content Accelerated Math Second Edition Grade 2 ID 2.M Use appropriate vocabulary. ID 2.M Represent equations, inequalities and functions in a variety of formats. ID 2.M Apply functions to a variety of problems. ID 2.M.4 - Concepts and Principles of Geometry ID 2.M Apply concepts of size, shape, and spatial relationships. ID 2.M Recognize, name, build, compare, and sort the two- and three-dimensional shapes of triangles, rectangles, squares, circles, cones, cubes, spheres, cylinders, and pyramids. ID 2.M Sort and classify objects by more than one attribute. ID 2.M Draw a line of symmetry. ID 2.M Use appropriate vocabulary. ID 2.M Apply the geometry of right triangles. ID 2.M Apply graphing in two dimensions. ID 2.M Indicate whether a number is above or below a benchmark number of 1000 or less on a number line. ID 2.M Represent and graph linear relationships. ID 2.M Use reasoning skills. ID 2.M.5 - Data Analysis, Probability, and Statistics ID 2.M Understand data analysis. ID 2.M Interpret information found in simple tables, charts, bar graphs, and pictographs. Page 9 of 99 Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Topic 4 - Data Analysis and Statistics Obj Name a 3-dimensional geometric shape Obj Identify symmetry in a 2- dimensional shape Obj Read a multi-category tally chart Obj Answer a question using information from a tally chart Obj Read a pictograph (1 symbol = more than 1 object) Obj Answer a question using information from a pictograph (1 symbol = more than 1 object) Obj Read a bar graph with a y- axis scale by 2s

14 Accelerated Math Grade 2 Idaho, Math, 2006, Grade 2, Content Accelerated Math Second Edition Grade 2 ID 2.M Use appropriate vocabulary. ID 2.M Collect, organize, and display data. ID 2.M Gather and display data in tables, charts, and bar graphs in order to answer a question. Topic 4 - Data Analysis and Statistics Obj Answer a question using information from a bar graph with a y- axis scale by 2s Obj Use a tally chart to represent data ID 2.M Use tally marks to represent data. ID 2.M Apply simple statistical measurements. ID 2.M Understand basic concepts of probability. ID 2.M Make predictions or decisions based on data. Topic 4 - Data Analysis and Statistics Obj Use a bar graph with a y- axis scale by 2s to represent data Obj Use a tally chart to represent data Page 10 of 99

15 Accelerated Math Grade 3 Idaho, Math, 2006, Grade 3, Content ID 3.M.1 - Number and Operation ID 3.M Understand and use numbers. ID 3.M *Read, write, compare, and order whole numbers to 10,000. Accelerated Math Second Edition Grade 3 Obj. 1 - Read a 4- or 5-digit whole number ID 3.M *Identify place value through 9,999. ID 3.M *Count the value of a collection of bills and coins up to $ ID 3.M *Recognize, name, and represent commonly used fractions using concrete materials. ID 3.M Recognize mathematical information and select strategies appropriate for solving a multi-step problem. ID 3.M Use appropriate vocabulary. ID 3.M Perform computations accurately. ID 3.M Recall basic addition and subtraction facts through 18. Obj. 2 - Determine the word form of a 4- or 5-digit whole number Obj Order 4- or 5-digit whole numbers in ascending or descending order Obj. 3 - Determine the value of a digit in a 4- or 5-digit whole number Obj. 4 - Determine which digit is in a specified place in a 4- or 5-digit whole number Obj Determine a pictorial model of a fraction of a set of objects ID 3.M *Add and subtract whole numbers with and without regrouping through 999. ID 3.M *Add three one- and two- digit addends. ID 3.M *Multiply whole numbers through 10 x 10. ID 3.M Select and use an appropriate method of computation from mental math, paper and pencil, calculator, or a combination of the three. Page 11 of 99 Obj Add 3- and 4-digit whole numbers with regrouping Obj Subtract 3- and 4-digit whole numbers with regrouping Obj Add three 2- to 3-digit whole numbers Obj Know basic multiplication facts to 10 x 10 Obj WP: Multiply using basic facts to 10 x 10 Obj Add 3- and 4-digit whole numbers with regrouping Obj Add three 2- to 3-digit whole numbers

16 Accelerated Math Grade 3 Idaho, Math, 2006, Grade 3, Content Accelerated Math Second Edition Grade 3 Obj Subtract 3- and 4-digit whole numbers with regrouping Obj Know basic multiplication facts to 10 x 10 Obj WP: Multiply using basic ID 3.M *Use appropriate operations to solve word problems and show or explain work. ID 3.M Use appropriate vocabulary. ID 3.M Estimate and judge reasonableness of results. ID 3.M Estimate to predict sums and differences. facts to 10 x 10 Obj WP: Multiply using basic facts to 10 x 10 Obj Estimate a sum or difference of 2- to 4-digit whole numbers using any method Obj Estimate a sum of three 2- to 4-digit numbers using any method ID 3.M Use estimation to evaluate the reasonableness of a sum or difference. ID 3.M Investigate the use of a four-function calculator to solve complex grade-level problems. ID 3.M Use appropriate vocabulary. ID 3.M.2 - Concepts and Principles of Measurement ID 3.M Understand and use U.S. customary and metric measurements. ID 3.M *Select and use Topic 3 - Geometry and appropriate units and tools to make Measurement formal measurements of length and temperature in both systems. Obj WP: Estimate a sum or difference of two 3- or 4-digit whole numbers using any method Obj Read a thermometer in degrees Fahrenheit or Celsius ID 3.M *Estimate length, time, and weight in real-world problems using standard units. ID 3.M *Tell time using digital and analog clocks using quarter hour and five minute intervals. ID 3.M *Solve real-world problems related to time. Page 12 of 99

17 Accelerated Math Grade 3 Idaho, Math, 2006, Grade 3, Content Accelerated Math Second Edition Grade 3 ID 3.M *Identify relationships of length and time within the U.S. customary system and within the metric system. ID 3.M *State that there are 24 hours in a day, 7 days in a week, and 12 months in a year. ID 3.M Use appropriate vocabulary. ID 3.M Apply the concepts of rates, ratios, and proportions. ID 3.M Apply dimensional analysis. ID 3.M.3 - Concepts and Language of Algebra and Functions ID 3.M Use algebraic symbolism as a tool to represent mathematical relationships. ID 3.M *Write a multiplication problem vertically and horizontally. ID 3.M *Write a number sentence using simple geometric shapes as symbols to represent an unknown number. ID 3.M *Write a fact family when given two addends. ID 3.M *Read and use symbols (<, >, =) to express relationships with numbers through 9,999. ID 3.M Evaluate algebraic expressions. ID 3.M *Use the commutative property of multiplication. ID 3.M *Solve multiplication problems using the commutative property (e.g., If 24 x 38 = 912, then what is 38 x 24?). ID 3.M Solve algebraic equations and inequalities. ID 3.M *Solve missing addend equations. ID 3.M Understand the concept of functions. Topic 2 - Algebraic Thinking Topic 2 - Algebraic Thinking Obj Use a multiplication sentence to represent an area or an array model Obj WP: Determine a multiplication or division sentence for a given situation Obj WP: Determine a multiplication or division sentence for a given situation Obj Compare 4- or 5-digit whole numbers using the symbols <, >, and = Page 13 of 99

18 Accelerated Math Grade 3 Idaho, Math, 2006, Grade 3, Content Accelerated Math Second Edition Grade 3 ID 3.M *Extend a growing arithmetic, numerical pattern when given a rule with a single operation of one digit addition (e.g., add 3). ID 3.M Use appropriate vocabulary. ID 3.M Represent equations, inequalities and functions in a variety of formats. ID 3.M Apply functions to a variety of problems. ID 3.M.4 - Concepts and Principles of Geometry ID 3.M Apply concepts of size, shape, and spatial relationships. ID 3.M *Identify, compare, and analyze attributes of two- and threedimensional shapes, including right angles, squares, and threedimensional shapes in environment, and develop vocabulary to describe the attributes. Topic 3 - Geometry and Measurement Obj Determine attributes of a triangle or a quadrilateral from a model Obj Relate a model of a triangle or a quadrilateral to a list of attributes ID 3.M Discuss sliding and flipping of two-dimensional shapes. ID 3.M *Identify vertical and horizontal lines of symmetry. ID 3.M Use appropriate vocabulary. ID 3.M Apply the geometry of right triangles. ID 3.M Apply graphing in two dimensions. ID 3.M *Identify the point of final destination given directions for movement on a positive number line. Topic 3 - Geometry and Measurement Obj Identify a picture of a 3- dimensional shape Obj Name a 3-dimensional shape from a picture Obj Identify mirror images ID 3.M.5 - Data Analysis, Probability, and Statistics ID 3.M Understand data analysis. ID 3.M *Interpret information found in tables, bar graphs, and charts. Page 14 of 99 Topic 4 - Data Analysis, Statistics, and Probability Obj Answer a question using information from a bar graph with a scale interval of 5 or 10

19 Accelerated Math Grade 3 Idaho, Math, 2006, Grade 3, Content Accelerated Math Second Edition Grade 3 Obj Answer a question using information from a frequency table ID 3.M Use appropriate vocabulary. ID 3.M Collect, organize, and display data. ID 3.M *Collect, organize, and display data in tables, charts, or bar graphs in order to answer a question. ID 3.M Apply simple statistical measurements. ID 3.M Understand basic concepts of probability. ID 3.M Make predictions or decisions based on data. ID 3.M Make predictions based on data. Topic 4 - Data Analysis, Statistics, and Probability Obj Use a bar graph with a scale interval of 5 or 10 to represent data Obj Use a frequency table to represent data Page 15 of 99

20 Accelerated Math Grade 4 Idaho, Math, 2006, Grade 4, Content Accelerated Math Second Edition Grade 4 ID 4.M.1 - Number and Operation ID 4.M Understand and use numbers. ID 4.M *Read, write, compare, and order whole numbers to 100,000. ID 4.M *Identify and apply place value in whole numbers. ID 4.M *Count the value of a collection of bills and coins up to $ ID 4.M *Read, write, compare, and order commonly used fractions with pictorial representations. ID 4.M *Use decimal numbers with money. ID 4.M Select strategies appropriate for solving a problem. ID 4.M Use appropriate vocabulary. ID 4.M Perform computations accurately. ID 4.M Recall multiplication facts through 10 x 10. ID 4.M *Add and subtract whole numbers. ID 4.M *Multiply up to two-digit by two-digit whole numbers and divide whole numbers by one-digit divisors. ID 4.M *Add and subtract fractions with like denominators that do not require simplification. Obj. 5 - Determine the whole number represented in expanded form written in powers of ten Obj Add three multi-digit whole numbers Obj Subtract a smaller number from a 3- or 4-digit whole number in expanded form Obj Multiply a 1- or 2-digit whole number by a multiple of 10, 100, or 1,000 Obj Multiply a 2-digit whole number by a 2-digit whole number Obj Multiply three 1- and 2-digit whole numbers Obj Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Obj Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient Obj Add fractions with like denominators no greater than 10 using models Obj Add fractions with like denominators no greater than 10 Page 16 of 99

21 Accelerated Math Grade 4 Idaho, Math, 2006, Grade 4, Content Accelerated Math Second Edition Grade 4 Obj Subtract fractions with like denominators no greater than 10 using models Obj Subtract fractions with like denominators no greater than 10 ID 4.M *Add and subtract decimals using money. ID 4.M Select and use an appropriate method of computation from mental math, paper and pencil, calculator, or a combination of the three. Obj WP: Add or subtract money amounts greater than $1 Obj Add three multi-digit whole numbers Obj Subtract a smaller number from a 3- or 4-digit whole number in expanded form Obj WP: Add three multi-digit whole numbers Obj Multiply a 1- or 2-digit whole number by a multiple of 10, 100, or 1,000 Obj Multiply a 2-digit whole number by a 2-digit whole number Obj Multiply three 1- and 2-digit whole numbers Obj WP: Multiply a 2-digit whole number by a 2-digit whole number Obj Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Obj Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient Obj WP: Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Obj WP: Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient Obj Add fractions with like denominators no greater than 10 Obj Subtract fractions with like denominators no greater than 10 Obj WP: Add or subtract money amounts greater than $1 Page 17 of 99

22 Accelerated Math Grade 4 Idaho, Math, 2006, Grade 4, Content Accelerated Math Second Edition Grade 4 ID 4.M *Select and use appropriate operations to solve word problems and show or explain work. Obj WP: Add three multi-digit whole numbers Obj WP: Multiply a 2-digit whole number by a 2-digit whole number Obj WP: Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient Obj WP: Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient ID 4.M Use appropriate vocabulary. ID 4.M Estimate and judge reasonableness of results. ID 4.M Estimate to predict computation results. ID 4.M Use estimation to evaluate the reasonableness of an answer. ID 4.M Investigate the use of a four-function calculator to solve complex grade-level problems. ID 4.M Use appropriate vocabulary. ID 4.M.2 - Concepts and Principles of Measurement ID 4.M Understand and use U.S. customary and metric measurements. ID 4.M *Select and use appropriate units and tools to make the formal measurements of length, temperature, and weight in both systems. ID 4.M *Estimate length, time, weight, and temperature in real-world problems using standard units. Obj WP: Add or subtract money amounts greater than $1 Obj Estimate a product of whole numbers by rounding Obj Estimate a product of whole numbers using any method Obj WP: Estimate a product of two whole numbers using any method Page 18 of 99

23 Accelerated Math Grade 4 Idaho, Math, 2006, Grade 4, Content Accelerated Math Second Edition Grade 4 ID 4.M *Tell time to the nearest minute using digital and analog clocks. ID 4.M *Solve real-world problems related to elapsed time. Topic 3 - Geometry and Measurement Obj Calculate elapsed time exceeding an hour without regrouping Obj Calculate elapsed time exceeding an hour with regrouping Obj WP: Calculate elapsed time exceeding an hour without regrouping hours Obj WP: Calculate elapsed time exceeding an hour with regrouping hours Obj WP: Determine the end time given the start time and the elapsed time exceeding an hour Obj WP: Determine the start time given the end time and the elapsed time exceeding an hour ID 4.M *Convert units of length and time within the U. S. Customary system. ID 4.M State that there are 365 days in a year and 52 weeks in a year. ID 4.M *Recall length and volume (capacity) equivalences involving inches, feet, yards, cups, pints, quarts, and gallons in the U.S. Customary system. ID 4.M Use appropriate vocabulary. ID 4.M Apply the concepts of rates, ratios, and proportions. ID 4.M Apply dimensional analysis. ID 4.M.3 - Concepts and Language of Algebra and Functions ID 4.M Use algebraic symbolism as a tool to represent mathematical relationships. ID 4.M *Write a division problem using a bracket ( ) and/or the division symbol ( ). Obj Read a timetable to answer questions Page 19 of 99

24 Accelerated Math Grade 4 Idaho, Math, 2006, Grade 4, Content Accelerated Math Second Edition Grade 4 ID 4.M *Write a number sentence using simple geometric shapes or letters of the alphabet as symbols to represent an unknown number. ID 4.M *Show the relationship between multiplication and division using fact families. ID 4.M *Read and use symbols of "<," ">," and "=" to express relationships with numbers through 1,000,000. ID 4.M Evaluate algebraic expressions. ID 4.M *Use the identity and zero properties of multiplication. ID 4.M Solve algebraic equations and inequalities. ID 4.M *Solve missing factor equations. ID 4.M Understand the concept of functions. ID 4.M *Identify the rule (function) for a pattern using whole numbers and addition and then extend the pattern. ID 4.M Use appropriate vocabulary. ID 4.M Represent equations, inequalities and functions in a variety of formats. ID 4.M Apply functions to a variety of problems. ID 4.M.4 - Concepts and Principles of Geometry ID 4.M Apply concepts of size, shape, and spatial relationships. ID 4.M *Identify, compare, and analyze attributes of two- and threedimensional shapes, including parallel, intersecting, and perpendicular lines, and develop vocabulary to describe the attributes. Topic 2 - Algebra Topic 3 - Geometry and Measurement Obj Generate a table of paired numbers based on a rule Obj Identify a shape that has parallel or perpendicular sides ID 4.M *Predict the results of sliding and flipping two-dimensional shapes. Page 20 of 99 Topic 3 - Geometry and Measurement Obj Relate a polygon to attributes or characteristics Obj Determine the result of a flip, a turn, or a slide

25 Accelerated Math Grade 4 Idaho, Math, 2006, Grade 4, Content Accelerated Math Second Edition Grade 4 ID 4.M *Identify multiple lines of symmetry in two-dimensional shapes. ID 4.M Discuss perimeters of polygons, and areas and perimeters of rectangles and squares, using concrete objects. ID 4.M Use appropriate vocabulary. ID 4.M Apply the geometry of right triangles. ID 4.M Apply graphing in two dimensions. ID 4.M *Use ordered pairs to identify the position of a point in the first quadrant on a coordinate grid. Topic 3 - Geometry and Measurement Obj Identify the location of an ordered pair in the first quadrant using compass directions ID 4.M.5 - Data Analysis, Probability, and Statistics ID 4.M Understand data analysis. ID 4.M *Read and interpret Topic 4 - Data Analysis, simple tables, charts, bar graphs, and Statistics, and Probability line graphs. ID 4.M Use appropriate vocabulary. ID 4.M Collect, organize, and display data. ID 4.M *Collect, organize, and display data in tables and charts to answer a question. ID 4.M Display data in a bar graph using appropriate notation such as a title, axes labels, and reasonable scales. ID 4.M Apply simple statistical measurements. ID 4.M *Find the mode of a simple set of whole number data. ID 4.M Understand basic concepts of probability. ID 4.M *Predict the results of simple probability experiments using coins or spinners (e.g., 3 out of 6 choices). Page 21 of 99 Topic 4 - Data Analysis, Statistics, and Probability Obj Determine the ordered pair of a point in the first quadrant using compass directions Obj Read a line graph Obj Answer a question using information from a line graph Obj Answer a question using information from a table Obj Use a line graph to represent data

26 Accelerated Math Grade 4 Idaho, Math, 2006, Grade 4, Content Accelerated Math Second Edition Grade 4 ID 4.M Make predictions or decisions based on data. ID 4.M *Make predictions based on data. Page 22 of 99

27 Accelerated Math Grade 5 Idaho, Math, 2006, Grade 5, Content ID 5.M.1 - Number and Operation ID 5.M Understand and use numbers. ID 5.M *Read, write, compare, and order whole numbers through millions and decimal numbers through thousandths. Accelerated Math Second Edition Grade 5 Obj Compare decimal numbers to thousandths represented in expanded form Obj Compare decimal numbers of differing places to thousandths ID 5.M *Identify and apply place value in whole numbers and decimal numbers to thousandths. ID 5.M Count back change from $ ID 5.M *Compare and order commonly used fractions and their equivalents. ID 5.M *Identify decimal equivalents of commonly used fractions. ID 5.M *Apply the number theory concepts of primes, composites, multiples, and factors. ID 5.M Select strategies appropriate for solving a problem. ID 5.M Use appropriate vocabulary. ID 5.M Perform computations accurately. ID 5.M Recall basic multiplication and division facts up to 10's. Page 23 of 99 Obj Order decimal numbers of differing places to thousandths in ascending or descending order Obj Determine the value of a digit in a decimal number to thousandths Obj Determine a decimal number represented in expanded form Obj Represent a decimal number in expanded form Obj Determine equivalent fractions not in simplest form Obj Order fractions with unlike denominators in ascending or descending order Obj. 1 - Determine if a number to 50 is prime or composite Obj. 2 - Determine a complete list of whole number factor pairs for a number to 50 Obj. 3 - Determine all the factors of a whole number to 50 Obj. 7 - Determine the multiple(s) of a number

28 Accelerated Math Grade 5 Idaho, Math, 2006, Grade 5, Content Accelerated Math Second Edition Grade 5 ID 5.M *Add and subtract decimal numbers through thousandths. Obj Add two decimal numbers of differing places to thousandths Obj Add three or more decimal numbers Obj Add decimal numbers and whole numbers Obj Subtract two decimal numbers of differing places to thousandths Obj Subtract a decimal number from a whole number or a whole number from a decimal number ID 5.M *Multiply and divide whole numbers. ID 5.M *Add and subtract fractions with like denominators without simplification. ID 5.M *Evaluate numerical expressions that include parentheses. ID 5.M Select and use an appropriate method of computation from mental math, paper and pencil, calculator or a combination of the three. Obj Divide a multi-digit whole number by a 1-digit number, with no remainder and at least one zero in the quotient Obj Divide a multi-digit whole number by a 1-digit number, with a remainder and at least one zero in the quotient Obj Divide a multi-digit whole number by a 1-digit number and express the quotient as a decimal Obj Evaluate a numerical expression involving three operations, with no parentheses, using order of operations Obj Evaluate a numerical expression involving three operations, with parentheses, using order of operations Obj Divide a multi-digit whole number by a 1-digit number, with no remainder and at least one zero in the quotient Obj Divide a multi-digit whole number by a 1-digit number, with a remainder and at least one zero in the quotient Obj Divide a multi-digit whole number by a 1-digit number and express the quotient as a decimal Obj Add two decimal numbers of differing places to thousandths Page 24 of 99

29 Accelerated Math Grade 5 Idaho, Math, 2006, Grade 5, Content Accelerated Math Second Edition Grade 5 Obj Add three or more decimal numbers Obj Add decimal numbers and whole numbers Obj Subtract two decimal numbers of differing places to thousandths Obj Subtract a decimal number from a whole number or a whole number from a decimal number ID 5.M *Use a variety of strategies to solve real life problems. ID 5.M Use appropriate vocabulary. ID 5.M Estimate and judge reasonableness of results. ID 5.M Estimate to predict computation results. ID 5.M Identify when an estimate is sufficient or when an exact answer is required. ID 5.M Explain why a given estimate is an overestimate or underestimate. ID 5.M Use a four-function calculator to solve complex gradelevel problems. ID 5.M Formulate conjectures and discuss why they must be or seem to be true. Page 25 of 99 Obj WP: Add or subtract decimal numbers through thousandths Obj WP: Add or subtract a decimal number through thousandths and a whole number Obj Estimate a quotient using any method Obj WP: Estimate a quotient using any method Obj Estimate the sum of two decimal numbers through thousandths and less than 1 by rounding to a specified place Obj Estimate the difference of two decimal numbers through thousandths and less than 1 by rounding to a specified place Obj WP: Estimate the sum or difference of two decimal numbers through thousandths using any method

30 Accelerated Math Grade 5 Idaho, Math, 2006, Grade 5, Content Accelerated Math Second Edition Grade 5 ID 5.M Use appropriate vocabulary. ID 5.M.2 - Concepts and Principles of Measurement ID 5.M Understand and use U.S. customary and metric measurements. ID 5.M *Select and use appropriate units and tools to make formal measurements of length, temperature, weight, and volume (capacity) in both systems. ID 5.M *Estimate length, time, weight, temperature, and volume (capacity) in real-world problems using standard units. ID 5.M *Tell time to the nearest second. ID 5.M *Solve real world problems related to elapsed time. Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement ID 5.M *Calculate the Topic 3 - Geometry and perimeter of polygons and the area of Measurement rectangles and squares. ID 5.M *Convert units of length within each system. ID 5.M *Convert days into weeks and years and years into decades and centuries. ID 5.M *Recall length, volume (capacity), and mass equivalences involving millimeters, centimeters, meters, milliliters, liters, grams, and kilograms in the metric system. Obj Determine an appropriate unit of measure Obj Calculate elapsed time using a.m. and p.m. Obj WP: Calculate elapsed time using a.m. and p.m. Obj Determine the perimeter of a polygon Obj WP: Determine the area of a square or rectangle ID 5.M Use appropriate vocabulary. ID 5.M Apply the concepts of rates, ratios, and proportions. ID 5.M Apply dimensional analysis. ID 5.M.3 - Concepts and Language of Algebra and Functions ID 5.M Use algebraic symbolism as a tool to represent mathematical relationships. ID 5.M *Write a division problem as a proper and an improper fraction. Page 26 of 99 Obj Relate a sharing situation to a fraction

31 Accelerated Math Grade 5 Idaho, Math, 2006, Grade 5, Content Accelerated Math Second Edition Grade 5 ID 5.M *Translate simple word statements for addition and multiplication into numeric expressions. ID 5.M *Write a fact family when given two factors. ID 5.M *Read and use symbols of "<," ">," and "=" to express relationships. ID 5.M Evaluate algebraic expressions. ID 5.M *Use the following properties as they relate to addition and multiplication: commutative, associative, and distributive. ID 5.M Solve algebraic equations and inequalities. ID 5.M *Solve missing factor equations. ID 5.M Understand the concept of functions. ID 5.M *Identify the rule for a pattern using whole numbers and extend the pattern. ID 5.M Use appropriate vocabulary. ID 5.M Represent equations, inequalities and functions in a variety of formats. ID 5.M Apply functions to a variety of problems. ID 5.M *Use patterns to represent problems. ID 5.M.4 - Concepts and Principles of Geometry ID 5.M Apply concepts of size, shape, and spatial relationships. ID 5.M *Identify, compare and analyze attributes of polygons and polyhedra and develop vocabulary to describe the attributes. Topic 3 - Geometry and Measurement Obj Determine the number of faces, edges, and vertices in a 3- dimensional shape ID 5.M *Classify angles without formal measures as acute, right, obtuse, and/or straight. ID 5.M *Identify and label points, lines, line segments, rays, and angles. Page 27 of 99

32 Accelerated Math Grade 5 Idaho, Math, 2006, Grade 5, Content Accelerated Math Second Edition Grade 5 ID 5.M *Discuss and predict the results of sliding, flipping, and turning two-dimensional shapes. Topic 3 - Geometry and Measurement Obj Determine the result of a reflection, a rotation, or a translation on a grid ID 5.M *Identify shapes as congruent, similar, or symmetrical. ID 5.M Explain the difference between perimeter and area of a polygon. ID 5.M Use appropriate vocabulary. ID 5.M Apply the geometry of right triangles. ID 5.M Apply graphing in two dimensions. ID 5.M *Use ordered pairs to identify and plot points in the first quadrant on a coordinate grid. Topic 2 - Algebra Topic 3 - Geometry and Measurement Obj Use a first quadrant graph to represent the values from a table generated in context Obj Determine the location of an ordered pair in the first quadrant ID 5.M.5 - Data Analysis, Probability, and Statistics ID 5.M Understand data analysis. ID 5.M *Read and interpret tables, charts, bar graphs, and line graphs. ID 5.M Use appropriate vocabulary. ID 5.M Collect, organize, and display data. ID 5.M *Collect, organize, and display the data with appropriate notation in tables, charts, bar graphs, and line graphs. ID 5.M Apply simple statistical measurements. ID 5.M *Find measures of central tendency - median and mode - with simple sets of data using whole numbers. Page 28 of 99 Topic 4 - Data Analysis, Statistics, and Probability Topic 4 - Data Analysis, Statistics, and Probability Obj Determine the ordered pair of a point in the first quadrant Obj Answer a question using information from a line graph that does not start at zero or has a broken vertical scale Obj WP: Extend a line graph to solve a problem Obj Use information from a table or a chart to solve a problem Obj Determine the median of an odd number of data values Obj Determine the mode of a set of whole number data

33 Accelerated Math Grade 5 Idaho, Math, 2006, Grade 5, Content Accelerated Math Second Edition Grade 5 ID 5.M *Find the range of a set of data using whole numbers. ID 5.M Understand basic concepts of probability. ID 5.M *Predict, perform, and record results of simple probability experiments using fraction notation. ID 5.M Use the language of probability. ID 5.M Make predictions or decisions based on data. ID 5.M *Make predictions and decisions based on data. Topic 4 - Data Analysis, Statistics, and Probability Topic 4 - Data Analysis, Statistics, and Probability Obj Determine the range of a set of whole number data Obj Determine the probability of a single event given the total number of possible outcomes Page 29 of 99

34 Accelerated Math Grade 6 Idaho, Math, 2006, Grade 6, Content ID 6.M.1 - Number and Operation ID 6.M Understand and use numbers. ID 6.M *Compare magnitudes and relative magnitudes of positive rational numbers, including whole numbers through billions, fractions, and decimals. Accelerated Math Second Edition Grade 6 Obj Compare numbers in decimal and fractional forms ID 6.M Explain the interrelationship of fractions, decimals, and percents. ID 6.M *Locate the position of integers on a number line. ID 6.M *Convert between decimals and fractions. ID 6.M *Apply number theory concepts (prime, composite, prime factorization) and identify common factors and common multiples. Obj Order numbers in decimal and fractional forms Obj Identify or locate an integer on a number line Obj Convert a mixed number to a decimal number Obj Convert a decimal number to a mixed number Obj Convert a fraction to a repeating decimal number Obj. 1 - Determine the prime factorization of a number between 50 and 200 ID 6.M Solve problems using the 4-step process of problem solving (explore, plan, solve, and examine). ID 6.M Describe the use of integers in real-world situations. ID 6.M Use appropriate vocabulary. ID 6.M Perform computations accurately. ID 6.M Recall basic multiplication and division facts from 12 x 12 Times Table. ID 6.M *Add, subtract, multiply, and divide whole numbers, decimals, and simple fractions (including unlike denominators). Obj. 6 - Find the product of three identical factors Obj. 9 - Divide a whole number by a 1-digit whole number resulting in a decimal quotient through thousandths Page 30 of 99