Georgia Standards Alignment Grades One through Six


 Hugh Randall
 2 years ago
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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)
2 Georgia 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 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 standardsbased reform movement and highstakes standardized testing have on schools, and we share the concerns of educators and administrators that students perform well on highstakes 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 2digit 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  Skipcount 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 singledigit 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
7 MathFacts Grade 1 Georgia, Math, 2004, Grade 1, Skillset 7  OP07 Developing automaticity with addition, subtraction, multiplication, and division facts through repeated Domain 3  Math Skills  Addition (MS) practice Skillset 1  MS01 Addition of 0,1 (Adding 0 or 1 to numbers 010) Skillset 2  MS02 Addition of 2,3 (Adding 2 or 3 to numbers 010) Skillset 3  MS03 Addition of 4,5 (Adding 4 or 5 to numbers 010) Skillset 4  MS04 Alternate Forms: Addition of 0 to 5 (Adding 05 to numbers 010 with the unknown in the operand or answer position) Skillset 5  MS05 Addition of 6,7 (Adding 6 or 7 to numbers 010) Skillset 6  MS06 Addition of 8,9 (Adding 8 or 9 to numbers 010) Skillset 8  MS08 Alternate Forms: Addition of 6 to 10 (Adding 610 to numbers 010 with the unknown in the operand or answer position) Domain 4  Math Skills  Subtraction (MS) Skillset 1  MS09 Subtraction of 0,1 (Subtracting 0 or 1 from numbers 011) Skillset 2  MS10 Subtraction of 2,3 (Subtracting 2 or 3 from numbers 213) Skillset 3  MS11 Subtraction of 4,5 (Subtracting 4 or 5 from numbers 415) Skillset 4  MS12 Alternate Forms: Subtraction of 0 to 5 (Subtracting 05 from numbers 015 with the unknown in the operand or answer position) Skillset 5  MS13 Subtraction of 6,7 (Subtracting 6 or 7 from numbers 617) Skillset 6  MS14 Subtraction of 8,9 (Subtracting 8 or 9 from numbers 819) Skillset 8  MS16 Alternate Forms: Subtraction of 6 to 10 (Subtracting 610 from numbers 620 with the unknown in the operand or answer position) Page 3 of 48
8 MathFacts Grade 1 Georgia, Math, 2004, Grade 1, GA M1N3.g  Apply addition and subtraction to 2 digit numbers without regrouping (e.g , 8060, , , ). 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 GA M1N3.h  Solve and create word problems involving addition and subtraction to 100 without regrouping. Use words, pictures and concrete models to interpret story problems and reflect the combining of sets as addition and taking away or comparing elements of sets as subtraction. GA M1N4  Students will count collections of up to 100 objects by dividing them into equal parts and represent the results using words, pictures, or diagrams. GA M1N4.a  Use informal strategies to share objects equally between two to five people. Domain 3  Math Skills  Addition (MS) Domain 4  Math Skills  Subtraction (MS) 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 010) Skillset 8  MS08 Alternate Forms: Addition of 6 to 10 (Adding 610 to numbers 010 with the unknown in the operand or answer position) Skillset 7  MS15 Subtraction of 10 (Subtracting 10 from numbers 1020) Skillset 8  MS16 Alternate Forms: Subtraction of 6 to 10 (Subtracting 610 from numbers 620 with the unknown in the operand or answer position) Page 4 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 nonstandard 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 2digit numbers with drawings of tens and ones and 3digit 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 multidigit 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 010) Skillset 7  MS15 Subtraction of 10 (Subtracting 10 from numbers 1020) Page 9 of 48
14 MathFacts Grade 2 Georgia, Math, 2004, Grade 2, GA M2N2.a  Correctly add and subtract two whole numbers up to three digits each with regrouping. GA M2N2.b  Understand and use the inverse relation between addition and subtraction to solve problems and check solutions. Domain 3  Math Skills  Addition (MS) Skillset 4  MS04 Alternate Forms: Addition of 0 to 5 (Adding 05 to numbers 010 with the unknown in the operand or answer position) Skillset 8  MS08 Alternate Forms: Addition of 6 to 10 (Adding 610 to numbers 010 with the unknown in the operand or answer position) GA M2N2.c  Use mental math strategies such as benchmark numbers to solve problems. GA M2N2.d  Use basic properties of addition (commutative, associative, and identity) to simplify problems (e.g by taking two from 17 and adding it to the 98 to make 100 and replacing the original problem by the sum ). Domain 4  Math Skills  Subtraction (MS) Skillset 4  MS12 Alternate Forms: Subtraction of 0 to 5 (Subtracting 05 from numbers 015 with the unknown in the operand or answer position) Skillset 8  MS16 Alternate Forms: Subtraction of 6 to 10 (Subtracting 610 from numbers 620 with the unknown in the operand or answer position) GA M2N2.e  Estimate to determine if solutions are reasonable for addition and subtraction. GA M2N3  Students will understand multiplication, multiply numbers, and verify results. GA M2N3.a  Understand multiplication as repeated addition. GA M2N3.b  Use repeated addition, arrays, and counting by multiples (skip counting) to correctly multiply 1 digit numbers and construct the multiplication table. Page 10 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
19 MathFacts Grade 3 Georgia, Math, 2004, Grade 3,  Students will use decimal fractions and common fractions to represent parts of a whole. They will also understand the four arithmetic operations for whole numbers and use them in basic calculations, and apply them in problem solving situations. GA M3N1  Students will further develop their understanding of whole numbers and decimals and ways of representing them. GA M3N1.a  Identify place values from tenths through ten thousands. GA M3N1.b  Understand the relative sizes of digits in place value notation (10 times, 100 times, 1/10 of a single digit whole number) and ways to represent them including word name, standard form, and expanded form. GA M3N2  Students will further develop their skills of addition and subtraction and apply them in problem solving. GA M3N2.a  Use the properties of addition and subtraction to compute and verify the results of computation. GA M3N2.b  Use mental math and estimation strategies to add and subtract. Page 15 of 48 Domain 1  Overall Product (OP) (student focus) Domain 3  Math Skills  Addition (MS) Domain 4  Math Skills  Subtraction (MS) Skillset 6  OP06 Memorizing math facts Skillset 1  MS01 Addition of 0,1 (Adding 0 or 1 to numbers 010) Skillset 2  MS02 Addition of 2,3 (Adding 2 or 3 to numbers 010) Skillset 3  MS03 Addition of 4,5 (Adding 4 or 5 to numbers 010) Skillset 5  MS05 Addition of 6,7 (Adding 6 or 7 to numbers 010) Skillset 6  MS06 Addition of 8,9 (Adding 8 or 9 to numbers 010) Skillset 7  MS07 Addition of 10 (Adding 10 to numbers 010) Skillset 1  MS09 Subtraction of 0,1 (Subtracting 0 or 1 from numbers 011) Skillset 2  MS10 Subtraction of 2,3 (Subtracting 2 or 3 from numbers 213)
20 MathFacts Grade 3 Georgia, Math, 2004, Grade 3, Skillset 3  MS11 Subtraction of 4,5 (Subtracting 4 or 5 from numbers 415) Skillset 5  MS13 Subtraction of 6,7 (Subtracting 6 or 7 from numbers 617) Skillset 6  MS14 Subtraction of 8,9 (Subtracting 8 or 9 from numbers 819) Skillset 7  MS15 Subtraction of 10 (Subtracting 10 from numbers 10  GA M3N2.c  Solve problems requiring addition and subtraction. Domain 3  Math Skills  Addition (MS) 20) Skillset 4  MS04 Alternate Forms: Addition of 0 to 5 (Adding 05 to numbers 010 with the unknown in the operand or answer position) Skillset 8  MS08 Alternate Forms: Addition of 6 to 10 (Adding 610 to numbers 010 with the unknown in the operand or answer position) GA M3N2.d  Model addition and subtraction by counting back change using the fewest number of coins. Domain 4  Math Skills  Subtraction (MS) Skillset 4  MS12 Alternate Forms: Subtraction of 0 to 5 (Subtracting 05 from numbers 015 with the unknown in the operand or answer position) Skillset 8  MS16 Alternate Forms: Subtraction of 6 to 10 (Subtracting 610 from numbers 620 with the unknown in the operand or answer position) GA M3N3  Students will further develop their understanding of multiplication of whole numbers and develop the ability to apply it in problem solving. GA M3N3.a  Describe the relationship between addition and multiplication, i.e., multiplication is defined as repeated addition. GA M3N3.b  Know the multiplication facts with understanding and fluency to 10 x 10. 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 Page 16 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 010) Skillset 2  MS18 Multiplication by 2,3 (Multiplying 2 or 3 by numbers 010) Skillset 3  MS19 Multiplication by 4,5 (Multiplying 4 or 5 by numbers 010) Skillset 4  MS20 Alternate Forms: Multiplication by 0 to 5 (Multiplying 05 by numbers 010 with the unknown in the operand or answer position) Skillset 5  MS21 Multiplication by 6,7 (Multiplying 6 or 7 by numbers 010) Skillset 6  MS22 Multiplication by 8,9 (Multiplying 89 by numbers 010) Skillset 7  MS23 Multiplication by 10 (Multiplying 10 by numbers 010) 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 3digit numbers by a 1digit 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 610 by numbers 010 with the unknown in the operand or answer position) Skillset 1  MS17 Multiplication by 0,1 (Multiplying 0 or 1 by numbers 010) 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 010) Skillset 2  MS18 Multiplication by 2,3 (Multiplying 2 or 3 by numbers 010) Skillset 3  MS19 Multiplication by 4,5 (Multiplying 4 or 5 by numbers 010) Skillset 5  MS21 Multiplication by 6,7 (Multiplying 6 or 7 by numbers 010) Skillset 6  MS22 Multiplication by 8,9 (Multiplying 89 by numbers 010) Skillset 4  MS20 Alternate Forms: Multiplication by 0 to 5 (Multiplying 05 by numbers 010 with the unknown in the operand or answer position) Skillset 8  MS24 Alternate Forms: Multiplication by 6 to 10 (Multiplying 610 by numbers 010 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 012 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 3digit number by a 1digit divisor. GA M3N4.f  Solve problems requiring division. Domain 7  Math Skills  Division (MS) Skillset 4  MS30 Alternate Forms: Division by 16 (Dividing numbers 060 by 16 with the unknown in the operand or answer position) Skillset 7  MS33 Alternate Forms: Division by 710 (Dividing numbers by 710 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 problemsolving 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 020 by 1 or 2) Skillset 2  MS28 Division by 3,4 (Dividing numbers 040 by 3 or 4) Skillset 3  MS29 Division by 5,6 (Dividing numbers 060 by 5 or 6) Skillset 5  MS31 Division by 7,8 (Dividing numbers 080 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 19 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 quarterhour. 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
26 MathFacts Grade 3 Georgia, Math, 2004, Grade 3, GA M3G1.d  Identify the center, diameter, and radius of a circle.  Students will understand how to express relationships as mathematical expressions. GA M3A1  Students will use mathematical expressions to represent relationships between quantities and interpret given expressions. GA M3A1.a  Describe and extend numeric and geometric patterns. GA M3A1.b  Describe and explain a quantitative relationship represented by a formula (such as the perimeter of a geometric figure). GA M3A1.c  Use a symbol, such as square and triangle, to represent an unknown and find the value of the unknown in a number sentence. Page 22 of 48 Domain 1  Overall Product (OP) (student focus) Domain 3  Math Skills  Addition (MS) Domain 4  Math Skills  Subtraction (MS) Domain 5  Math Skills  Multiplication (MS) Skillset 4  OP04 Supplying a missing operand in a math facts sentence Skillset 4  MS04 Alternate Forms: Addition of 0 to 5 (Adding 05 to numbers 010 with the unknown in the operand or answer position) Skillset 8  MS08 Alternate Forms: Addition of 6 to 10 (Adding 610 to numbers 010 with the unknown in the operand or answer position) Skillset 4  MS12 Alternate Forms: Subtraction of 0 to 5 (Subtracting 05 from numbers 015 with the unknown in the operand or answer position) Skillset 8  MS16 Alternate Forms: Subtraction of 6 to 10 (Subtracting 610 from numbers 620 with the unknown in the operand or answer position) Skillset 4  MS20 Alternate Forms: Multiplication by 0 to 5 (Multiplying 05 by numbers 010 with the unknown in the operand or answer position) Skillset 8  MS24 Alternate Forms: Multiplication by 6 to 10 (Multiplying 610 by numbers 010 with the unknown in the operand or answer position)
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 16 (Dividing numbers 060 by 16 with the unknown in the operand or answer position) Skillset 7  MS33 Alternate Forms: Division by 710 (Dividing numbers by 710 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 baseten 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 23 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 020 by 1 or 2) Skillset 2  MS28 Division by 3,4 (Dividing numbers 040 by 3 or 4) Skillset 3  MS29 Division by 5,6 (Dividing numbers 060 by 5 or 6) Skillset 4  MS30 Alternate Forms: Division by 16 (Dividing numbers 060 by 16 with the unknown in the operand or answer position) Skillset 5  MS31 Division by 7,8 (Dividing numbers 080 by 7 or 8) Skillset 6  MS32 Division by 9,10 (Dividing numbers by 9 or 10) Skillset 7  MS33 Alternate Forms: Division by 710 (Dividing numbers by 710 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 2digit 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 baseten 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
32 MathFacts Grade 4 Georgia, Math, 2004, Grade 4, GA M4N7.b  Compute using the order of operations, including parentheses. GA M4N7.c  Compute using the commutative, associative, and distributive properties. GA M4N7.d  Use mental math and estimation strategies to compute. Domain 1  Overall Product (OP) (student focus) Skillset 6  OP06 Memorizing math facts Domain 3  Math Skills  Addition (MS) Domain 4  Math Skills  Subtraction (MS) Domain 5  Math Skills  Multiplication (MS) Skillset 1  MS01 Addition of 0,1 (Adding 0 or 1 to numbers 010) Skillset 2  MS02 Addition of 2,3 (Adding 2 or 3 to numbers 010) Skillset 3  MS03 Addition of 4,5 (Adding 4 or 5 to numbers 010) Skillset 5  MS05 Addition of 6,7 (Adding 6 or 7 to numbers 010) Skillset 6  MS06 Addition of 8,9 (Adding 8 or 9 to numbers 010) Skillset 7  MS07 Addition of 10 (Adding 10 to numbers 010) Skillset 1  MS09 Subtraction of 0,1 (Subtracting 0 or 1 from numbers 011) Skillset 2  MS10 Subtraction of 2,3 (Subtracting 2 or 3 from numbers 213) Skillset 3  MS11 Subtraction of 4,5 (Subtracting 4 or 5 from numbers 415) Skillset 5  MS13 Subtraction of 6,7 (Subtracting 6 or 7 from numbers 617) Skillset 6  MS14 Subtraction of 8,9 (Subtracting 8 or 9 from numbers 819) Skillset 7  MS15 Subtraction of 10 (Subtracting 10 from numbers 1020) Skillset 1  MS17 Multiplication by 0,1 (Multiplying 0 or 1 by numbers 010) Skillset 2  MS18 Multiplication by 2,3 (Multiplying 2 or 3 by numbers 010) Skillset 3  MS19 Multiplication by 4,5 (Multiplying 4 or 5 by numbers 010) Skillset 5  MS21 Multiplication by 6,7 (Multiplying 6 or 7 by numbers 010) Page 28 of 48
33 MathFacts Grade 4 Georgia, Math, 2004, Grade 4, Skillset 6  MS22 Multiplication by 8,9 (Multiplying 89 by numbers 010) Skillset 7  MS23 Multiplication by 10 (Multiplying 10 by numbers 010)  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 012) Skillset 1  MS27 Division by 1,2 (Dividing numbers 020 by 1 or 2) Skillset 2  MS28 Division by 3,4 (Dividing numbers 040 by 3 or 4) Skillset 3  MS29 Division by 5,6 (Dividing numbers 060 by 5 or 6) Skillset 5  MS31 Division by 7,8 (Dividing numbers 080 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 problemsolving 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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