Cherokee County Schools

Mathematics Course of Study

Grade 4

Students in fourth grade are intrigued with mathematics. To nurture this interest, students at this grade level need to be involved in an active learning process rather than one that only builds on memorization of concepts and procedures. Concrete experiences are also important at this stage of development. Such experiences allow students to develop and strengthen the skills needed to communicate, reason, solve mathematical problems, and reach higher levels of cognitive reasoning.

An effective classroom environment provides intellectually stimulating instruction and developmentally appropriate opportunities for students to learn mathematical concepts. This classroom environment fosters an atmosphere in which students are encouraged to find solutions through a variety of methods and feel less threatened about making and correcting mistakes. Instruction includes opportunities for students to communicate their mathematical thinking by talking, writing, and sharing with each other.

Fourth-grade content builds a foundation of basic number sense, operations, quantitative reasoning, patterns, relationships, geometric and spatial reasoning, measurement, and probability and statistics. The content builds on and expands students’ conceptual understanding of mathematics. Through the interweaving of mathematical concepts and processes, students learn to value mathematics, display confidence in their mathematical ability, solve problems, and make connections between mathematics and other subjects.

Please use this document to plan mathematics lessons. The content standards define what students should know and be able to do at the conclusion of the course or grade. The order in which standards are listed within a course or grade is not intended to convey a sequence for instruction. Each standard is aligned with the appropriate student assessment and correlated with textbooks adopted by Cherokee County Schools. Bullets denote content that is related to the standards and required for instruction. Examples clarify certain components of content standards or bullets and are not exhaustive. Technology is integrated throughout the document.

Alabama Course of Study: Mathematics	Stanford 10 ARMT	Saxon	Harcourt
1.) Demonstrate number sense by comparing and ordering decimals to hundredths and whole numbers to 999,999. • Identifying a number when given a pictorial representation of tenths and hundredths or groups of ones, tens, hundreds, and thousands • Writing a number in expanded notation through the hundred-thousands Example: 914,682 = 900,000 + 10,000 + 4,000 + 600 + 80 + 2 • Determining the place value of a digit in a whole number through the hundred-thousands and in a decimal to the hundredths. Technology Integration: AAA Math: http://www.aaamath.com/grade4.html Place Value Game: http://education.jlab.org/placevalue/index.html Helping Teachers Use the internet Effectively: http://www.internet4classrooms.com/skills_4th.htm	X	Apply place value concepts Lessons: 4, 7, 10, 13, 14, 15, 16, 17, 30, 33, 34, 41, 42, 43, 48, 50, 51, 52, 54, 58, 84, 87, 90, 91, 102, 113, 117 Apply grouping concepts Lessons: 9, 13, 15, 17, 30, 31, 41, 43, 44, 48, 49, 51, 52, 53, 58, 70, 88, 91,95 Create sets of ones and tens Lessons: 4, 9 Write whole numbers in standard and expanded forms Lessons: 7, 16, 33, 34 Represent and explore decimals with number lines, physical materials, pictorial models, place value, symbolic renaming, and verbal descriptions Lessons: INV. 4, 50, 84, 91, 99, 102 Apply place value concepts Lessons: 4, 7, 10, 13, 14, 15, 16, 17, 30, 33, 34, 41, 42, 43, 48, 50, 51, 52, 54, 58, 84, 87, 90, 91, 102, 113, 117 Saxon Math Online Activities: http://www.saxonpublishers.com/activities/index.jsp	Chapter 1 Lessons 1-5 Chapter 2 Lessons 1-4 Harcourt Learning Site: www.harcourtschool.com Multimedia Math Glossary: www.harcourtschool.com/mathglossary
2.) Write money amounts in words and dollar-and-cent notation. • Identifying equivalent units of money Technology Integration: AAA Math: http://www.aaamath.com/grade4.html Helping Teachers Use the internet Effectively: http://www.internet4classrooms.com/skills_4th.htm	X	Identify equivalent values of coins Continual Practice and Review Warm Up: 54, 59 Identify the value of coins and bills Lessons: 36, INV. 4 Saxon Math Online Activities: http://www.saxonpublishers.com/activities/index.jsp	P. 413, 420 Harcourt Learning Site: www.harcourtschool.com Multimedia Math Glossary: www.harcourtschool.com/mathglossary
Alabama Course of Study: Mathematics	Stanford 10 ARMT	Saxon	Harcourt
3.) Rename improper fractions as mixed numbers and mixed numbers as improper fractions. • Using a number line to simplify, compare, and order fractions and mixed numbers • Writing equivalent forms of fractions Technology Integration: AAA Math: http://www.aaamath.com/grade4.html Helping Teachers Use the internet Effectively: http://www.internet4classrooms.com/skills_4th.htm	X	Represent and explore fractions with number lines, physical materials, pictorial models, place value, symbolic renaming, and verbal descriptions Lessons: 22, 26, 35, 36, 37, 39, INV. 4, INV. 5, 56, 61, 74, 89, INV. 9, 103, 104, 109, 112 Compare fractions Lessons: 36, 56, 103 Identify and represent equivalent fractions Lessons: 39, INV. 9, 103, 109, 112, 115, 116 Saxon Math Online Activities: http://www.saxonpublishers.com/activities/index.jsp	Chapter 21 Lessons 1-5 Harcourt Learning Site: www.harcourtschool.com Multimedia Math Glossary: www.harcourtschool.com/mathglossary
4.) Demonstrate addition and subtraction of fractions with common denominators. Technology Integration: AAA Math: http://www.aaamath.com/grade4.html Helping Teachers Use the internet Effectively: http://www.internet4classrooms.com/skills_4th.htm	X	Add fractions with like denominators Lessons: 107, 114 Subtract fractions with like denominators Lessons: 107, 114 Saxon Math Online Activities: http://www.saxonpublishers.com/activities/index.jsp	Chapter 22 Lessons 1-6 Harcourt Learning Site: www.harcourtschool.com Multimedia Math Glossary: www.harcourtschool.com/mathglossary
Alabama Course of Study: Mathematics	Stanford 10 ARMT	Saxon	Harcourt
5.) Round whole numbers to the nearest ten, hundred, or thousand and decimals to the nearest tenth. Technology Integration: AAA Math: http://www.aaamath.com/grade4.html Helping Teachers Use the internet Effectively: http://www.internet4classrooms.com/skills_4th.htm	X	Round decimals Lessons: 20 Round money values to the nearest dollar and dime Lessons: 20, 102 Round whole numbers Lessons: 20, 42, 59, 93, 117 Saxon Math Online Activities: http://www.saxonpublishers.com/activities/index.jsp	Chapter 2 Lesson 4 Chapter 3 Lesson 2 Chapter 10 Lesson 2 Chapter 11 Lesson 4 Chapter 27 Lessons 1, 2, 5 Harcourt Learning Site: www.harcourtschool.com Multimedia Math Glossary: www.harcourtschool.com/mathglossary
6.) Solve problems, including word problems, that involve addition and subtraction of four-digit numbers with and without regrouping. • Estimating sums and differences of whole numbers by using appropriate strategies such as rounding, front-end estimation, and compatible numbers • Adding and subtracting decimals and money amounts Technology Integration: AAA Math: http://www.aaamath.com/grade4.html A+ Math Games: http://www.aplusmath.com/Games/index.html Helping Teachers Use the internet Effectively: http://www.internet4classrooms.com/skills_4th.htm Cookie Dough: http://www.funbrain.com/cgi-bin/shtml.cgi?A1=../numwords/index.html Math Baseball: http://www.funbrain.com/cgi-bin/shtml.cgi?A1=../math/index.html Math Jeopardy(PowerPoint): http://www.hardin.k12.ky.us/res_techn/Download/Jeopardy3A.ppt Line Jumper: http://www.funbrain.com/cgi-bin/shtml.cgi?A1=../linejump/index.html Place Value: http://www.hbogucki.staffnet.com/aemes/apps/place/place.htm Compare It: http://www.hbogucki.staffnet.com/aemes/apps/compare/compare.htm	X	Round whole numbers Lessons: 20, 42, 59, 93, 117 Recognize when an estimate is appropriate and apply estimation strategies to solve a problem Lessons: 59, 93, 111 Solve problems, compute fluently, and make reasonable estimates Lessons: 1, 2, 6, 8, 9, 11, 12, 13, 14, 15, 16, 17, 24, 25, 27, 28, 29, 30, 31, 38, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 57, 58, 59, 60, 61, 62, 64, 65, 67, 68, 70, 71, 72, 76, 77, 80, 83, 85, 86, 87, 88, 90, 91, 93, 94, 95, 96, 97, 101, 105, 106, 107, 108, 110, 111, 113, 114, 115, 116, 118, 119, 120 Apply estimation strategies across all strands of mathematics Lessons: INV 2, INV 5, 81, 111 Estimate addition solutions Lessons: 59 Estimate subtraction solutions Lessons: 59 Add decimals Lessons: 22, 43, 50 Subtract decimals Lessons: 30, 41, 43, 69, 83, 91 Use skills associated with money by solving real-life problems involving money Lessons: INV 4, 83 Saxon Math Online Activities: http://www.saxonpublishers.com/activities/index.jsp	Chapter 3 Lessons 1-6 Chapter 4 Lessons 1-6 Chapter 27 Lessons 1-6 Harcourt Learning Site: www.harcourtschool.com Multimedia Math Glossary: www.harcourtschool.com/mathglossary
Alabama Course of Study: Mathematics	Stanford 10 ARMT	Saxon	Harcourt
7.) Solve problems, including word problems, involving the basic operations of multiplication and division on whole numbers through two-digit multipliers and one-digit divisors. • Estimating products and quotients of whole numbers by using appropriate strategies such as rounding, front-end estimation, and compatible numbers • Identifying information needed to determine the appropriate operation to solve a problem • Demonstrating computational fluency in multiplication and division fact families through 12 Technology Integration: AAA Math: http://www.aaamath.com/grade4.html Helping Teachers Use the internet Effectively: http://www.internet4classrooms.com/skills_4th.htm Math Baseball: http://www.funbrain.com/cgi-bin/shtml.cgi?A1=../math/index.html Math Jeopardy(PowerPoint): http://www.hardin.k12.ky.us/res_techn/Download/Jeopardy4A.ppt	X	Recognize when an estimate is appropriate and apply estimation strategies to solve a problem Lessons: 59, 93, 111 Solve problems, compute fluently, and make reasonable estimates Lessons: 1, 2, 6, 8, 9, 11, 12, 13, 14, 15, 16, 17, 24, 25, 27, 28, 29, 30, 31, 38, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 57, 58, 59, 60, 61, 62, 64, 65, 67, 68, 70, 71, 72, 76, 77, 80, 83, 85, 86, 87, 88, 90, 91, 93, 94, 95, 96, 97, 101, 105, 106, 107, 108, 110, 111, 113, 114, 115, 116, 118, 119, 120 Apply estimation strategies across all strands of mathematics Lessons: INV 2, INV 5, 81, 111 Round whole numbers Lessons: 20, 42, 59, 93, 117 Estimate solutions to multiplication problems Lessons: 59, 93 Estimate division solutions Lessons: 93 Select information necessary to solve a problem Lessons: 72, 101 Select the appropriate operation to solve a problem Lessons: 11, 12, 25, 27, 31, 49, 52, 57, 60, 64, 65, 70, 71, 83, 88, 94, 95, 96,97, 101 Demonstrate knowledge of basic division facts Lessons: 47, 64, 65 Demonstrate knowledge of basic multiplication facts Lessons: 29, INV. 3, 32, 47, 55, 86 Explain inverse relationship of division and multiplication Lessons: 46, 47, 51, 64, 65, 68, 71 Use fact families to develop operation sense Lessons: 6, 24, 64 Saxon Math Online Activities: http://www.saxonpublishers.com/activities/index.jsp	Chapter 8 Lessons 1-6 Chapter 9 Lessons 1-6 Chapter 10 Lessons 1-6 Chapter 11 Lessons 1- 5 Chapter 12 Lessons 1-5 Chapter 13 Lessons 1- 5 Chapter 14 Lessons 1-6 Chapter 15 Lessons 1-6 Harcourt Learning Site: www.harcourtschool.com Multimedia Math Glossary: www.harcourtschool.com/mathglossary
Alabama Course of Study: Mathematics	Stanford 10 ARMT	Saxon	Harcourt
8.) Recognize equivalent forms of commonly used fractions and decimals. Examples: ¼ = .25, ¼ of a dollar = $.25 (25 cents) Technology Integration: AAA Math: http://www.aaamath.com/grade4.html Helping Teachers Use the internet Effectively: http://www.internet4classrooms.com/skills_4th.htm	X	Relate fractions to decimals Lessons: INV. 4, 50, 84, INV. 9, 103 Identify and represent equivalent fractions Lessons: 39, INV. 9, 103, 109, 112, 115, 116 Saxon Math Online Activities: http://www.saxonpublishers.com/activities/index.jsp	Chapter 21 Lessons 2 , 3 Harcourt Learning Site: www.harcourtschool.com Multimedia Math Glossary: www.harcourtschool.com/mathglossary
9.) Write number sentences for word problems that involve multiplication or division. Technology Integration: AAA Math: http://www.aaamath.com/grade4.html Helping Teachers Use the internet Effectively: http://www.internet4classrooms.com/skills_4th.htm	X	Write and solve number sentences that describe real-life situations Lessons: 11, 12, 49, 52, 57, 64, 69 Create number sentences that express relationships involving the operations Lessons: 11, 12, 24, 49, 52, 57, 64, 69, INV. 12 Saxon Math Online Activities: http://www.saxonpublishers.com/activities/index.jsp	Chapter 9 Lesson 6 Chapter 10 Lesson 6 Harcourt Learning Site: www.harcourtschool.com Multimedia Math Glossary: www.harcourtschool.com/mathglossary
Alabama Course of Study: Mathematics	Stanford 10 ARMT	Saxon	Harcourt
10.) Complete addition and subtraction number sentences with a missing addend or subtrahend Technology Integration: AAA Math: http://www.aaamath.com/grade4.html Helping Teachers Use the internet Effectively: http://www.internet4classrooms.com/skills_4th.htm	X	Find the unknown numbers in whole-number addition, subtraction, multiplication, and division situations Lessons: 1, 2, 11, 12, 14, 16, 24, 41, 61, 69, INV. 12 Saxon Math Online Activities: http://www.saxonpublishers.com/activities/index.jsp	Chapter 4 Lessons 2, 3 Harcourt Learning Site: www.harcourtschool.com Multimedia Math Glossary: www.harcourtschool.com/mathglossary
11.) Identify triangles, quadrilaterals, pentagons, hexagons, or octagons based on the number of sides, angles, and vertices. • Demonstrating slides (translations), flips (reflections), and turns (rotations) using triangles, quadrilaterals, pentagons, hexagons, or octagons • Drawing lines of symmetry in triangles, quadrilaterals, pentagons, hexagons, or octagons