# Georgia Standards Alignment Grades One through Six

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1 Georgia Standards Alignment Grades One through Six 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)

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 MathFacts Grade 1 Georgia, Math, 2004, Grade 1, - Students will understand how to represent numbers, and be able to add and subtract small numbers. GA M1N1 - Students will estimate, model, compare, order, and represent whole numbers up to 100. GA M1N1.a - Represent numbers up to 100 using a variety of models, diagrams, and number sentences. Represent numbers larger than 10 in terms of tens and ones using manipulatives and pictures. GA M1N1.b - Correctly count and represent the number of objects in a set using numerals. GA M1N1.c - Compare small sets using the terms greater than, less than, and equal to. GA M1N1.d - Understand the magnitude and order of numbers up to 100 by making ordered sequences and representing them on a number line. GA M1N1.e - Exchange equivalent quantities of coins by making fair trades involving combinations of pennies, nickels, dimes, and quarters up to one dollar; count out a combination of coins needed to purchase items up to one dollar. GA M1N1.f - Identify bills (\$1, \$5, \$10, \$20) by name and value and exchange equivalent quantities by making fair trades involving combinations of bills; count out a combination of bills needed to purchase items that total up to twenty dollars. GA M1N2 - Students will understand place value notation for the numbers 1 to 99. (Discussions may allude to 3- digit numbers to assist in understanding place value.) GA M1N2.a - Determine to which ten a given number is closest using tools such as a sequential number line or chart. Page 1 of 48

6 MathFacts Grade 1 Georgia, Math, 2004, Grade 1, GA M1N2.b - Represent collections of less than 30 objects with 2-digit numbers and understand the meaning of place value. GA M1N2.c - Decompose numbers from 10 to 99 as the appropriate number of tens and ones. GA M1N3 - Students will add and subtract numbers less than 100, as well as understand and use the inverse relationship between addition and subtraction. GA M1N3.a - Identify one more than, one less than, 10 more than, and 10 less than a given number. GA M1N3.b - Skip-count by 2s, 5s, and 10s, forward and backwards; to and from numbers up to 100. GA M1N3.c - Compose/decompose numbers up to 10 (e. g. 3+5=8, 8=5+2+1). GA M1N3.d - Understand a variety of situations to which subtraction may apply: taking away from a set, comparing two sets, and determining how many more or how many less. GA M1N3.e - Understand addition and subtraction number combinations using strategies such as counting on, counting back, doubles and making tens. GA M1N3.f - Know the single-digit Domain 1 - Overall Product (OP) addition facts to 18 and (student focus) corresponding subtraction facts with understanding and fluency. (Use strategies such as relating to facts already known, applying the commutative property, and grouping facts into families.) Skillset 1 - OP01 Developing computational fluency with basic math facts Skillset 3 - OP03 Solving math facts in horizontal and vertical forms Skillset 4 - OP04 Supplying a missing operand in a math facts sentence Skillset 6 - OP06 Memorizing math facts Page 2 of 48

9 MathFacts Grade 1 Georgia, Math, 2004, Grade 1, GA M1N4.b - Build number patterns, including concepts of even and odd, using various concrete representations. (Examples of concrete representations include a hundreds chart, ten grid frame, place value chart, number line, counters, or other objects.). GA M1N4.c - Identify, label, and relate fractions (halves, fourths) as equal parts of a collection of objects or a whole using pictures and models. GA M1N4.d - Understand halves and fourths as representations of equal parts of a whole. - Students will measure basic quantitative attributes of concrete objects. GA M1M1 - Students will compare and/or order the length, weight, or capacity of two or more objects by using direct comparison or a nonstandard unit. GA M1M1.a - Directly compare and/or order length, height, weight, and capacity of concrete objects. GA M1M1.b - Estimate and measure using a non-standard unit that is smaller than the object to be measured. GA M1M1.c - Measure with a tool by creating a "ruled" stick, tape, or container by marking off ten segments of the repeated single unit. GA M1M2 - Students will develop an understanding of the measurement of time. GA M1M2.a - Tell time to the nearest hour and half hour and understand the movement of the minute hand and how it relates to the hour hand. GA M1M2.b - Begin to understand the relationship of calendar time by knowing the number of days in a week and months in a year. Page 5 of 48

10 MathFacts Grade 1 Georgia, Math, 2004, Grade 1, GA M1M2.c - Compare and/or order the sequence or duration of events (e.g., shorter/longer and before/after). - Students will understand the concepts of basic geometric shapes and spatial relationships of concrete objects. GA M1G1 - Students will study and create various two and threedimensional figures and identify basic figures (squares, circles, triangles, and rectangles) within them. GA M1G1.a - Build, draw, name, and describe triangles, rectangles, pentagons, and hexagons. GA M1G1.b - Build, represent, name, and describe cylinders, cones, and rectangular prisms. GA M1G1.c - Create pictures and designs using shapes, including overlapping shapes. GA M1G2 - Students will compare, contrast, and/or classify geometric shapes by the common attributes of position, shape, size, number of sides, and number of corners. GA M1G3 - Students will arrange and describe objects in space by proximity, position, and direction (near, far, below, above, up, down, behind, in front of, next to, and left or right of). - Students will pose questions, collect, organize and interpret data about themselves and their surroundings. GA M1D1 - Students will create simple tables and graphs and interpret them. GA M1D1.a - Interpret tally marks, picture graphs, and bar graphs. GA M1D1.b - Pose questions, collect, sort, organize and record data using objects, pictures, tally marks, picture graphs, and bar graphs. Page 6 of 48

11 MathFacts Grade 1 Georgia, Math, 2004, Grade 1, - Each topic studied in this course should be developed with careful thought toward helping every student achieve the following process standards. GA M1P1 - Students will solve problems (using appropriate technology). GA M1P1.a - Build new mathematical knowledge through problem solving. GA M1P1.b - Solve problems that arise in mathematics and in other contexts. GA M1P1.c - Apply and adapt a variety of appropriate strategies to solve problems. GA M1P1.d - Monitor and reflect on the process of mathematical problem solving. GA M1P2 - Students will reason and evaluate mathematical arguments. GA M1P2.a - Recognize reasoning and proof as fundamental aspects of mathematics. GA M1P2.b - Make and investigate mathematical conjectures. GA M1P2.c - Develop and evaluate mathematical arguments and proofs. GA M1P2.d - Select and use various types of reasoning and methods of proof. GA M1P3 - Students will communicate mathematically. GA M1P3.a - Organize and consolidate their mathematical thinking through communication. GA M1P3.b - Communicate their mathematical thinking coherently and clearly to peers, teachers, and others. GA M1P3.c - Analyze and evaluate the mathematical thinking and strategies of others. GA M1P3.d - Use the language of mathematics to express mathematical ideas precisely. Page 7 of 48

12 MathFacts Grade 1 Georgia, Math, 2004, Grade 1, GA M1P4 - Students will make connections among mathematical ideas and to other disciplines. GA M1P4.a - Recognize and use connections among mathematical ideas. GA M1P4.b - Understand how mathematical ideas interconnect and build on one another to produce a coherent whole. GA M1P4.c - Recognize and apply mathematics in contexts outside of mathematics. GA M1P5 - Students will represent mathematics in multiple ways. GA M1P5.a - Create and use representations to organize, record, and communicate mathematical ideas. GA M1P5.b - Select, apply, and translate among mathematical representations to solve problems. GA M1P5.c - Use representations to model and interpret physical, social, and mathematical phenomena. Page 8 of 48

13 MathFacts Grade 2 Georgia, Math, 2004, Grade 2, - Students will further develop their understanding of numbers (including fractions) and how to represent them. The students will understand and apply addition, subtraction and multiplication through concrete manipulation and perform basic calculations. GA M2N1 - Students will use multiple representation of numbers to connect symbols to quantities. GA M2N1.a - Represent numbers using a variety of models, diagrams, and number sentences (e.g., 4703 represented as 4, , and units, 47 hundreds + 3, or 4, ). GA M2N1.b - Understand the relative magnitudes of numbers using 10 as a unit, 100 as a unit, or 1000 as a unit. Represent 2-digit numbers with drawings of tens and ones and 3-digit numbers with drawings of hundreds, tens, and ones. GA M2N1.c - Use money as a medium of exchange. Make change and use decimal notation and the dollar and cent symbols to represent the collection of coins and currency. GA M2N2 - Students will build fluency with multi-digit addition and subtraction. Domain 1 - Overall Product (OP) (student focus) Domain 3 - Math Skills - Addition (MS) Domain 4 - Math Skills - Subtraction (MS) Skillset 1 - OP01 Developing computational fluency with basic math facts Skillset 3 - OP03 Solving math facts in horizontal and vertical forms Skillset 6 - OP06 Memorizing math facts Skillset 7 - OP07 Developing automaticity with addition, subtraction, multiplication, and division facts through repeated practice Skillset 7 - MS07 Addition of 10 (Adding 10 to numbers 0-10) Skillset 7 - MS15 Subtraction of 10 (Subtracting 10 from numbers 10-20) Page 9 of 48

15 MathFacts Grade 2 Georgia, Math, 2004, Grade 2, GA M2N3.c - Use the multiplication table (grid) to determine a product of two numbers. GA M2N3.d - Use repeated subtraction, equal sharing, and forming equal groups to divide large collections of objects and determine factors for multiplication. GA M2N4 - Students will understand and compare fractions. GA M2N4.a - Model, identify, label, and compare fractions (thirds, sixths, eighths, tenths) as a representation of equal parts of a whole or of a set. GA M2N4.b - Know that when all fractional parts are included, such as three thirds, the result is equal to the whole. GA M2N5 - Students will represent and interpret quantities and relationships using mathematical expressions including equality and inequality signs (=,>,<, not equal to). GA M2N5.a - Include the use of boxes or to represent a missing value. GA M2N5.b - Represent problem solving situations where addition, subtraction or multiplication may be applied using mathematical expressions. - Students will understand length, time, and temperature and choose an appropriate tool to measure them. GA M2M1 - Students will know the standard units of inch, foot, yard, and metric units of centimeter and meter and measure length to the nearest inch or centimeter. GA M2M1.a - Compare the relationship of one unit to another by measuring objects twice using different units each time. GA M2M1.b - Estimate lengths, and then measure to determine if estimations were reasonable. Page 11 of 48

16 MathFacts Grade 2 Georgia, Math, 2004, Grade 2, GA M2M1.c - Determine an appropriate tool and unit for measuring. GA M2M2 - Students will tell time to the nearest five minutes and know relationships of time such as the number of seconds in a minute, minutes in an hour and hours in a day. GA M2M3 - Students will explore temperature. GA M2M3.a - Determine a reasonable temperature for a given situation. GA M2M3.b - Read a thermometer. - Students will understand basic and compound geometric shapes together with the elements from which they are composed. GA M2G1 - Students will describe and classify plane figures (triangles, square, rectangle, trapezoid, quadrilateral, pentagon, hexagon, and irregular polygonal shapes) according to the number of sides and vertices and the sizes of angles (right angle, obtuse, acute). GA M2G2 - Students will describe and classify solid geometric figures (prisms, pyramids, cylinders, cones, and spheres) according to such things as the number of edges and vertices and the number and shape of faces and angles. GA M2G2.a - Recognize the (plane) shapes of the faces of a geometric solid and count the number of faces of each type. GA M2G2.b - Recognize the shape of an angle as a right angle, an obtuse, or acute angle. GA M2G3 - Students will describe the change in attributes as two and threedimensional shapes are cut and rearranged. - Students will pose questions, collect, organize, and interpret data about themselves and their surroundings. Page 12 of 48

17 MathFacts Grade 2 Georgia, Math, 2004, Grade 2, GA M2D1 - Students will create simple tables and graphs and interpret their meaning. GA M2D1.a - Create, organize and display data using pictographs, Venn diagrams, bar graphs, picture graphs, simple charts, and tables to record results with scales of 1, 2 and 5. GA M2D1.b - Know how to interpret picture graphs, Venn diagrams, and bar graphs. - Each topic studied in this course should be developed with careful thought toward helping every student achieve the following process standards. GA M2P1 - Students will solve problems (using appropriate technology). GA M2P1.a - Build new mathematical knowledge through problem solving. GA M2P1.b - Solve problems that arise in mathematics and in other contexts. GA M2P1.c - Apply and adapt a variety of appropriate strategies to solve problems. GA M2P1.d - Monitor and reflect on the process of mathematical problem solving. GA M2P2 - Students will reason and evaluate mathematical arguments. GA M2P2.a - Recognize reasoning and proof as fundamental aspects of mathematics. GA M2P2.b - Make and investigate mathematical conjectures. GA M2P2.c - Develop and evaluate mathematical arguments and proofs. GA M2P2.d - Select and use various types of reasoning and methods of proof. GA M2P3 - Students will communicate mathematically. GA M2P3.a - Organize and consolidate their mathematical thinking through communication. Page 13 of 48

18 MathFacts Grade 2 Georgia, Math, 2004, Grade 2, GA M2P3.b - Communicate their mathematical thinking coherently and clearly to peers, teachers, and others. GA M2P3.c - Analyze and evaluate the mathematical thinking and strategies of others. GA M2P3.d - Use the language of mathematics to express mathematical ideas precisely. GA M2P4 - Students will make connections among mathematical ideas and to other disciplines. GA M2P4.a - Recognize and use connections among mathematical ideas. GA M2P4.b - Understand how mathematical ideas interconnect and build on one another to produce a coherent whole. GA M2P4.c - Recognize and apply mathematics in contexts outside of mathematics. GA M2P5 - Students will represent mathematics in multiple ways. GA M2P5.a - Create and use representations to organize, record, and communicate mathematical ideas. GA M2P5.b - Select, apply, and translate among mathematical representations to solve problems. GA M2P5.c - Use representations to model and interpret physical, social, and mathematical phenomena. Page 14 of 48

21 MathFacts Grade 3 Georgia, Math, 2004, Grade 3, Skillset 6 - OP06 Memorizing math facts Skillset 7 - OP07 Developing automaticity with addition, subtraction, multiplication, and division facts through repeated Domain 5 - Math Skills - Multiplication (MS) practice Skillset 1 - MS17 Multiplication by 0,1 (Multiplying 0 or 1 by numbers 0-10) Skillset 2 - MS18 Multiplication by 2,3 (Multiplying 2 or 3 by numbers 0-10) Skillset 3 - MS19 Multiplication by 4,5 (Multiplying 4 or 5 by numbers 0-10) Skillset 4 - MS20 Alternate Forms: Multiplication by 0 to 5 (Multiplying 0-5 by numbers 0-10 with the unknown in the operand or answer position) Skillset 5 - MS21 Multiplication by 6,7 (Multiplying 6 or 7 by numbers 0-10) Skillset 6 - MS22 Multiplication by 8,9 (Multiplying 8-9 by numbers 0-10) Skillset 7 - MS23 Multiplication by 10 (Multiplying 10 by numbers 0-10) GA M3N3.c - Use arrays and area models to develop understanding of the distributive property and to determine partial products for multiplication of 2- or 3-digit numbers by a 1-digit number. GA M3N3.d - Understand the effect on the product when multiplying by multiples of 10. GA M3N3.e - Apply the identity, commutative and associative properties of multiplication and verify the results. GA M3N3.f - Use mental math and estimation strategies to multiply. Domain 5 - Math Skills - Multiplication (MS) Domain 1 - Overall Product (OP) (student focus) Skillset 8 - MS24 Alternate Forms: Multiplication by 6 to 10 (Multiplying 6-10 by numbers 0-10 with the unknown in the operand or answer position) Skillset 1 - MS17 Multiplication by 0,1 (Multiplying 0 or 1 by numbers 0-10) Skillset 6 - OP06 Memorizing math facts Page 17 of 48

22 MathFacts Grade 3 Georgia, Math, 2004, Grade 3, GA M3N3.g - Solve problems requiring multiplication. GA M3N4 - Students will understand the meaning of division and develop the ability to apply it in problem solving. GA M3N4.a - Understand the relationship between division and multiplication and between division and subtraction. GA M3N4.b - Recognize that division may be two situations: the first is determining how many equal parts of a given size or amount may be taken away from the whole as in repeated subtraction, and the second is determining the size of the parts when the whole is separated into a given number of equal parts as in a sharing model. Domain 5 - Math Skills - Multiplication (MS) Domain 5 - Math Skills - Multiplication (MS) Skillset 1 - MS17 Multiplication by 0,1 (Multiplying 0 or 1 by numbers 0-10) Skillset 2 - MS18 Multiplication by 2,3 (Multiplying 2 or 3 by numbers 0-10) Skillset 3 - MS19 Multiplication by 4,5 (Multiplying 4 or 5 by numbers 0-10) Skillset 5 - MS21 Multiplication by 6,7 (Multiplying 6 or 7 by numbers 0-10) Skillset 6 - MS22 Multiplication by 8,9 (Multiplying 8-9 by numbers 0-10) Skillset 4 - MS20 Alternate Forms: Multiplication by 0 to 5 (Multiplying 0-5 by numbers 0-10 with the unknown in the operand or answer position) Skillset 8 - MS24 Alternate Forms: Multiplication by 6 to 10 (Multiplying 6-10 by numbers 0-10 with the unknown in the operand or answer position) Skillset 10 - MS26 Alternate Forms: Multiplication by 11 to 12 (Multiplying 11 or 12 by numbers 0-12 with the unknown in the operand or answer position) Page 18 of 48

23 MathFacts Grade 3 Georgia, Math, 2004, Grade 3, GA M3N4.c - Recognize problemsolving situations in which division may be applied and write corresponding mathematical expressions. GA M3N4.d - Explain the meaning of a remainder in division in different circumstances. GA M3N4.e - Divide a 2 and 3-digit number by a 1-digit divisor. GA M3N4.f - Solve problems requiring division. Domain 7 - Math Skills - Division (MS) Skillset 4 - MS30 Alternate Forms: Division by 1-6 (Dividing numbers 0-60 by 1-6 with the unknown in the operand or answer position) Skillset 7 - MS33 Alternate Forms: Division by 7-10 (Dividing numbers by 7-10 with the unknown in the operand or answer position) GA M3N4.g - Use mental math strategies to divide. GA M3N5 - Students will understand the meaning of decimal fractions and common fractions in simple cases and apply them in problem-solving situations. GA M3N5.a - Identify fractions that are decimal fractions and/or common fractions. GA M3N5.b - Understand that a decimal fraction (i.e. 3/10) can be written as a decimal (i.e. 0.3). Domain 1 - Overall Product (OP) (student focus) Domain 7 - Math Skills - Division (MS) Domain 8 - Math Skills - Fractions Decimal Conversion (MS) Skillset 6 - OP06 Memorizing math facts Skillset 1 - MS27 Division by 1,2 (Dividing numbers 0-20 by 1 or 2) Skillset 2 - MS28 Division by 3,4 (Dividing numbers 0-40 by 3 or 4) Skillset 3 - MS29 Division by 5,6 (Dividing numbers 0-60 by 5 or 6) Skillset 5 - MS31 Division by 7,8 (Dividing numbers 0-80 by 7 or 8) Skillset 6 - MS32 Division by 9,10 (Dividing numbers by 9 or 10) Skillset 8 - MS34 Division by 11,12 (Dividing numbers by 11 or 12) Skillset 1 - MS37 Fractions to Decimals (Converting fractions with numerators 1-9 and denominator 10 or 100; unit fractions (1/n) with denominators of 2, 3, 4, 5, and 3/4, 2/5, 3/5, 4/5) Page 19 of 48

24 MathFacts Grade 3 Georgia, Math, 2004, Grade 3, GA M3N5.c - Understand the fraction a/b represents a equal sized parts of a whole that is divided into b equal sized parts. GA M3N5.d - Know and use decimal fractions and common fractions to represent the size of parts created by equal divisions of a whole. GA M3N5.e - Understand the concept of addition and subtraction of decimal fractions and common fractions with like denominators. GA M3N5.f - Model addition and subtraction of decimal fractions and common fractions with like denominators. GA M3N5.g - Use mental math and estimation strategies to add and subtract decimal fractions and common fractions with like denominators. GA M3N5.h - Solve problems involving decimal fractions and common fractions with like denominators. - Students will understand and measure time and length. They will also model and calculate perimeter and area of simple geometric figures. GA M3M1 - Students will further develop their understanding of the concept of time by determining elapsed time of a full, half, and quarter-hour. GA M3M2 - Students will measure length choosing appropriate units and tools. GA M3M2.a - Use the units kilometer (km) and mile (mi.) to discuss the measure of long distances. GA M3M2.b - Measure to the nearest 1/4 inch, 1/2 inch and millimeter (mm) in addition to the previously learned inch, foot, yard, centimeter, and meter. GA M3M2.c - Estimate length and represent it using appropriate units. Page 20 of 48

25 MathFacts Grade 3 Georgia, Math, 2004, Grade 3, GA M3M2.d - Compare one unit to another within a single system of measurement. GA M3M3 - Students will understand and measure the perimeter of geometric figures. GA M3M3.a - Understand the meaning of the linear unit and measurement in perimeter. GA M3M3.b - Understand the concept of perimeter as being the length of the boundary of a geometric figure. GA M3M3.c - Determine the perimeter of a geometric figure by measuring and summing the lengths of the sides. GA M3M4 - Students will understand and measure the area of simple geometric figures (squares and rectangles). GA M3M4.a - Understand the meaning of the square unit and measurement in area. GA M3M4.b - Model (by tiling) the area of a simple geometric figure using square units (square inch, square foot, etc.). GA M3M4.c - Determine the area of squares and rectangles by counting, addition, and multiplication with models. - Students will further develop their understanding of characteristics of previously studied geometric figures. GA M3G1 - Students will further develop their understanding of geometric figures by drawing them. They will also state and explain their properties. GA M3G1.a - Draw and classify previously learned fundamental geometric figures and scalene, isosceles, and equilateral triangles. GA M3G1.b - Identify and compare the properties of fundamental geometric figures. GA M3G1.c - Examine and compare angles of fundamental geometric figures. Page 21 of 48

27 MathFacts Grade 3 Georgia, Math, 2004, Grade 3, - Students will gather, organize, and display data and interpret graphs. GA M3D1 - Students will create and interpret simple tables and graphs. GA M3D1.a - Solve problems by organizing and displaying data in charts, tables, and graphs. GA M3D1.b - Construct and interpret line plot graphs, pictographs, Venn diagrams, and bar graphs using scale increments of 1, 2, 5, and Each topic studied in this course should be developed with careful thought toward helping every student achieve the following process standards. GA M3P1 - Students will solve problems (using appropriate technology). GA M3P1.a - Build new mathematical knowledge through problem solving. GA M3P1.b - Solve problems that arise in mathematics and in other contexts. GA M3P1.c - Apply and adapt a variety of appropriate strategies to solve problems. GA M3P1.d - Monitor and reflect on the process of mathematical problem solving. GA M3P2 - Students will reason and evaluate mathematical arguments. GA M3P2.a - Recognize reasoning and proof as fundamental aspects of mathematics. Domain 7 - Math Skills - Division (MS) Skillset 4 - MS30 Alternate Forms: Division by 1-6 (Dividing numbers 0-60 by 1-6 with the unknown in the operand or answer position) Skillset 7 - MS33 Alternate Forms: Division by 7-10 (Dividing numbers by 7-10 with the unknown in the operand or answer position) Page 23 of 48

28 MathFacts Grade 3 Georgia, Math, 2004, Grade 3, GA M3P2.b - Make and investigate mathematical conjectures. GA M3P2.c - Develop and evaluate mathematical arguments and proofs. GA M3P2.d - Select and use various types of reasoning and methods of proof. GA M3P3 - Students will communicate mathematically. GA M3P3.a - Organize and consolidate their mathematical thinking through communication. GA M3P3.b - Communicate their mathematical thinking coherently and clearly to peers, teachers, and others. GA M3P3.c - Analyze and evaluate the mathematical thinking and strategies of others. GA M3P3.d - Use the language of mathematics to express mathematical ideas precisely. GA M3P4 - Students will make connections among mathematical ideas and to other disciplines. GA M3P4.a - Recognize and use connections among mathematical ideas. GA M3P4.b - Understand how mathematical ideas interconnect and build on one another to produce a coherent whole. GA M3P4.c - Recognize and apply mathematics in contexts outside of mathematics. GA M3P5 - Students will represent mathematics in multiple ways. GA M3P5.a - Create and use representations to organize, record, and communicate mathematical ideas. GA M3P5.b - Select, apply, and translate among mathematical representations to solve problems. GA M3P5.c - Use representations to model and interpret physical, social, and mathematical phenomena. Page 24 of 48

29 MathFacts Grade 4 Georgia, Math, 2004, Grade 4, - Students will further develop their understanding of whole numbers and master the four basic operations with whole numbers by solving problems. They will also understand rounding and when to use it appropriately. Students will further develop their understanding of addition and subtraction of decimal fractions and common fractions with like denominators. GA M4N1. - Students will further develop their understanding of how whole numbers and decimals are represented in the base-ten numeration system. GA M4N1.a - Identify place value names and places from hundredths through one million. GA M4N1.b - Equate a number's word name, its standard form, and its expanded form. GA M4N2 - Students will understand and apply the concept of rounding numbers. GA M4N2.a - Round numbers to the nearest ten, hundred, or thousand. GA M4N2.b - Describe situations in which rounding numbers would be appropriate and determine whether to round to the nearest ten, hundred, or thousand. GA M4N2.c - Determine to which whole number or tenth a given decimal is closest using tools such as a number line, and/or charts. GA M4N2.d - Round a decimal to the nearest whole number or tenth. GA M4N2.e - Represent the results of computation as a rounded number when appropriate and estimate a sum or difference by rounding numbers. GA M4N3 - Students will solve problems involving multiplication of 2-3 digit numbers by 1 or 2 digit numbers. Page 25 of 48

30 MathFacts Grade 4 Georgia, Math, 2004, Grade 4, GA M4N4 - Students will further develop their understanding of division of whole numbers and divide in problem solving situations without calculators. GA M4N4.a - Know the division facts with understanding and fluency. Domain 1 - Overall Product (OP) (student focus) Skillset 1 - OP01 Developing computational fluency with basic math facts Skillset 3 - OP03 Solving math facts in horizontal and vertical forms Domain 7 - Math Skills - Division (MS) Skillset 6 - OP06 Memorizing math facts Skillset 7 - OP07 Developing automaticity with addition, subtraction, multiplication, and division facts through repeated practice Skillset 1 - MS27 Division by 1,2 (Dividing numbers 0-20 by 1 or 2) Skillset 2 - MS28 Division by 3,4 (Dividing numbers 0-40 by 3 or 4) Skillset 3 - MS29 Division by 5,6 (Dividing numbers 0-60 by 5 or 6) Skillset 4 - MS30 Alternate Forms: Division by 1-6 (Dividing numbers 0-60 by 1-6 with the unknown in the operand or answer position) Skillset 5 - MS31 Division by 7,8 (Dividing numbers 0-80 by 7 or 8) Skillset 6 - MS32 Division by 9,10 (Dividing numbers by 9 or 10) Skillset 7 - MS33 Alternate Forms: Division by 7-10 (Dividing numbers by 7-10 with the unknown in the operand or answer position) Skillset 8 - MS34 Division by 11,12 (Dividing numbers by 11 or 12) Skillset 9 - MS35 Alternate Forms: Division by 11 to 12 (Dividing numbers by 11 or 12 with unknown in operand position) GA M4N4.b - Solve problems involving division by 1 or 2-digit numbers (including those that generate a remainder). Page 26 of 48

31 MathFacts Grade 4 Georgia, Math, 2004, Grade 4, GA M4N4.c - Understand the relationship between dividend, divisor, quotient, and remainder. GA M4N4.d - Understand and explain the effect on the quotient of multiplying or dividing both the divisor and dividend by the same number. ( yields the same answer as 205 5). GA M4N5 - Students will further develop their understanding of the meaning of decimals and use them in computations. GA M4N5.a - Understand decimals are a part of the base-ten system. GA M4N5.b - Understand the relative size of numbers and order two digit decimals. GA M4N5.c - Add and subtract both one and two digit decimals. GA M4N5.d - Model multiplication and division of decimals by whole numbers. GA M4N5.e - Multiply and divide both one and two digit decimals by whole numbers. GA M4N6 - Students will further develop their understanding of the meaning of decimal fractions and common fractions and use them in computations. GA M4N6.a - Understand representations of equivalent common fractions and/or decimal fractions. GA M4N6.b - Add and subtract fractions and mixed numbers with like denominators. (Denominators should not exceed twelve.) GA M4N6.c - Use mixed numbers and improper fractions interchangeably. GA M4N7 - Students will explain and use properties of the four arithmetic operations to solve and check problems. GA M4N7.a - Describe situations in which the four operations may be used and the relationships among them. Page 27 of 48

33 MathFacts Grade 4 Georgia, Math, 2004, Grade 4, Skillset 6 - MS22 Multiplication by 8,9 (Multiplying 8-9 by numbers 0-10) Skillset 7 - MS23 Multiplication by 10 (Multiplying 10 by numbers 0-10) - Students will measure weight in appropriate metric and standard units. They will also measure angles. GA M4M1 - Students will understand the concept of weight and how to measure weight. GA M4M1.a - Use standard and metric units to measure the weight of objects. GA M4M1.b - Know units used to measure weight (gram, kilogram, ounces, pounds, and tons). GA M4M1.c - Compare one unit to another within a single system of measurement. GA M4M2 - Students will understand the concept of angles and how to measure them. GA M4M2.a - Use tools, such as a protractor or angle ruler, and other methods such as paper folding, drawing a diagonal in a square, to measure angles. GA M4M2.b - Understand the meaning and measure of a half rotation (180 ) and a full rotation (360 ). Page 29 of 48 Domain 7 - Math Skills - Division (MS) Skillset 9 - MS25 Multiplication by 11,12 (Multiplying 11 or 12 by numbers 0-12) Skillset 1 - MS27 Division by 1,2 (Dividing numbers 0-20 by 1 or 2) Skillset 2 - MS28 Division by 3,4 (Dividing numbers 0-40 by 3 or 4) Skillset 3 - MS29 Division by 5,6 (Dividing numbers 0-60 by 5 or 6) Skillset 5 - MS31 Division by 7,8 (Dividing numbers 0-80 by 7 or 8) Skillset 6 - MS32 Division by 9,10 (Dividing numbers by 9 or 10) Skillset 8 - MS34 Division by 11,12 (Dividing numbers by 11 or 12)

34 MathFacts Grade 4 Georgia, Math, 2004, Grade 4, GA M4M2.c - Determine that the sum of the three angles of a triangle is always Students will understand and build plane and solid geometric figures. They will also graph points on the coordinate plane. GA M4G1 - Students will define and identify the characteristics of geometric figures through examination and construction. GA M4G1.a - Examine and compare angles in order to classify and identify triangles by their angles. GA M4G1.b - Describe parallel and perpendicular lines in plane geometric figures. GA M4G1.c - Examine and classify quadrilaterals (including parallelograms, squares, rectangles, trapezoids, and rhombi) by their properties. GA M4G1.d - Compare and contrast the relationships among quadrilaterals. GA M4G2 - Students will understand fundamental solid figures. GA M4G2.a - Compare and contrast a cube and a rectangular prism in terms of the number and shape of their faces, edges, and vertices. GA M4G2.b - Describe parallel and perpendicular lines and planes in connection with the rectangular prism. GA M4G2.c - Build/collect models for solid geometric figures (cubes, prisms, cylinders, pyramids, spheres, and cones) using nets and other representations. GA M4G3 - Students will use the coordinate system. GA M4G3.a - Understand and apply ordered pairs in the first quadrant of the coordinate system. GA M4G3.b - Locate a point in the first quadrant in the coordinate plane and name the ordered pair. Page 30 of 48

35 MathFacts Grade 4 Georgia, Math, 2004, Grade 4, GA M4G3.c - Graph ordered pairs in the first quadrant. - Students will investigate and represent mathematical relationships between quantities using mathematical expressions in problem-solving situations. GA M4A1 - Students will represent and interpret mathematical relationships in quantitative expressions. GA M4A1.a - Understand and apply patterns and rules to describe relationships and solve problems. GA M4A1.b - Represent unknowns using symbols, such as square and triangle. GA M4A1.c - Write and evaluate mathematical expressions using symbols and different values. - Students will gather, organize, and display data. They will also compare features of graphs. GA M4D1 - Students will gather, organize, and display data according to the situation and compare related features. GA M4D1.a - Construct and interpret line graphs, line plot graphs, pictographs, Venn diagrams, and bar graphs. GA M4D1.b - Investigate the features and tendencies of graphs. GA M4D1.c - Compare different graphical representations for a given set of data. GA M4D1.d - Identify missing information and duplications in data. GA M4D1.e - Determine and justify the range, mode, and median of a set of data. - Each topic studied in this course should be developed with careful thought toward helping every student achieve the following process standards. Page 31 of 48

36 MathFacts Grade 4 Georgia, Math, 2004, Grade 4, GA M4P1 - Students will solve problems (using appropriate technology). GA M4P1.a - Build new mathematical knowledge through problem solving. GA M4P1.b - Solve problems that arise in mathematics and in other contexts. GA M4P1.c - Apply and adapt a variety of appropriate strategies to solve problems. GA M4P1.d - Monitor and reflect on the process of mathematical problem solving. GA M4P2 - Students will reason and evaluate mathematical arguments. GA M4P2.a - Recognize reasoning and proof as fundamental aspects of mathematics. GA M4P2.b - Make and investigate mathematical conjectures. GA M4P2.c - Develop and evaluate mathematical arguments and proofs. GA M4P2.d - Select and use various types of reasoning and methods of proof. GA M4P3 - Students will communicate mathematically. GA M4P3.a - Organize and consolidate their mathematical thinking through communication. GA M4P3.b - Communicate their mathematical thinking coherently and clearly to peers, teachers, and others. GA M4P3.c - Analyze and evaluate the mathematical thinking and strategies of others. GA M4P3.d - Use the language of mathematics to express mathematical ideas precisely. GA M4P4 - Students will make connections among mathematical ideas and to other disciplines. GA M4P4.a - Recognize and use connections among mathematical ideas. Page 32 of 48

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