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Cherokee County Schools

Mathematics Course of Study

Grade 5

         

 

 

Students in fifth grade experience increased social and emotional development.  They become more aware of their independence, opinions, and level of thinking as compared to others.  Students enjoy and benefit from content presented in a way that allows for in-depth understanding, heightens interest and enthusiasm, and provides relevance to real-world situations.

 

In fifth grade, students need a positive learning environment that encourages and challenges student effort and progress toward learning mathematics.  This environment is supported through the use of active learning experiences and content-related questions that foster mathematical communication.

 

The mathematics curriculum in fifth grade emphasizes fluency in computing and problem solving with whole numbers, decimals, and fractions.  Students apply basic operations to problem-solving situations with a greater understanding of the meanings of operations and how they relate to one another.  By actively acquiring new knowledge of symbolic representation, fifth-grade students move toward an abstract level of thinking.

 

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 (H)

1.)    Demonstrate number sense by comparing, ordering, rounding, and expanding whole numbers through millions and decimals to thousandths.

• Relating percents to parts out of 100 by using equivalent fractions and decimals
• Determining the value of a digit to thousandths

 

 

AAA Math:

http://www.aaamath.com/grade5.html

 

Cookie Dough:

http://www.funbrain.com/numwords/index.html

 

X

Represent percentages in equivalent forms

Lessons: 30, 71

Represent fractions in equivalent forms

Lessons: 75, 79, 81, 90, 116

Represent decimals in equivalent forms

Lessons: 70, 71, 100, 109

Understand place value concepts related to decimals

Lessons: 64, 68, 106, 111

Understand place value concepts related to whole numbers

Lessons: 3, 6, 7, 9, 48, 52, 78

 

Saxon Math Online Activities:

http://www.saxonpublishers.com/activities/index.jsp

 

Chapter 1Lessons 1-5

Chapter 2 Lessons 1-4

 

The Harcourt Learning Site:

www.harcourtschool.com

 

Multimedia Math Glossary:

www.harcourtschool.com/mathglossary

 

 

Alabama Course of Study:  Mathematics

 

Stanford 10

ARMT

 

Saxon

 

Prentice Hall (PH)

Harcourt (H)

2.)    Solve problems involving basic operations on whole numbers, including addition and subtraction of seven-digit numbers, multiplication with two-digit multipliers, and division with two-digit divisors.

• Estimating products and quotients
• Determining divisibility by 2, 3, 4, 5, 6, 9, and 10
• Demonstrating computational fluency with addition, subtraction, multiplication, and division of whole numbers

 

Technology Integration:

AAA Math:

http://www.aaamath.com/grade5.html

Operation Order:

http://www.funbrain.com/algebra/index.html

Math Jeopardy(PowerPoint):

http://www.hardin.k12.ky.us/res_techn/Download/Jeopardy5A.ppt

X

Use estimation to solve real-world problems

Lessons: 62, 94, 101, 104

 

Solve problems, compute fluently, and make reasonable estimates

Lessons: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,

22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39,

40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57,

58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75,

76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93,

94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108,

109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120

with whole numbers

Lessons: 8, 9, 101, 16, 35, 42, 43, 61, 62

Use methods of estimation appropriate to a given situation

Lessons: 62, 94, 101, 104

Rules to determine divisibility

Lessons: 22, 25, 42

Solve addition problems with whole numbers

Lessons: 6, 9, 10, 11, 13, 14, 16, 17, 62

Solve division problems with whole numbers with and without remainders

Lessons: 19, 20, 21, 22, 34, 40, 42, 43, 46, 50, 54, 58, 62, 78, 92, 94

Solve multiplication problems with whole numbers

Lessons:  13, 15, 17, 18, 21, 55, 56, 62

 

Saxon Math Online Activities:

http://www.saxonpublishers.com/activities/index.jsp

 

Chapter 3 Lessons 1-7

Chapter 4 Lessons 1-6

Chapter 7 Lessons 1-5

Chapter 8 Lessons 1-6

Chapter 9 Lesson1-5

Chapter 10 Lessons 1-6

Chapter 11 Lessons 1-5

Chapter 12 Lessons 1-7

 

The Harcourt Learning Site:

www.harcourtschool.com

 

Multimedia Math Glossary:

www.harcourtschool.com/mathglossary

 

Alabama Course of Study:  Mathematics

 

Stanford 10

ARMT

 

Saxon

 

Prentice Hall (PH)

Harcourt (H)

3.)    Solve word problems that involve decimals, fractions, or money.

• Solving word problems involving elapsed time

Technology Integration:

AAA Math:

http://www.aaamath.com/grade5.html

Math Jeopardy(PowerPoint):

http://www.hardin.k12.ky.us/res_techn/Download/Jeopardy5A.ppt

X

Measure time in seconds, minutes, hours, days, months, or years

Lessons: 28, 35, 69, 108

Solve real-world problems involving time

Lessons: 10

Decimals

Chapter 2 Lessons 1-4

Chapter 8 Lessons 1-6

Chapter 11 Lessons 1-5

Chapter 15 Lesson 6

FRACTIONS

Chapter 13 Lessons1-4

Chapter 14 Lessons 1-5

Chapter 15 Lessons 1-16

Chapter 16 Lessons 1-6

Chapter 17 Lessons 1-5

Chapter 18 Lessons 1-5

Chapter 19 Lessons 1-5

 

The Harcourt Learning Site:

www.harcourtschool.com

 

Multimedia Math Glossary:

www.harcourtschool.com/mathglossary

4.)    Determine the sum and difference of fractions with common and uncommon denominators.

• Changing mixed numbers to improper fractions
• Solving problems involving addition and subtraction of fractions with common and uncommon denominators
• Using least common multiples
• Estimating sums and differences of fractions

Technology Integration:

 

AAA Math:

http://www.aaamath.com/grade5.html

 

Visual Fractions:

http://www.visualfractions.com/

 

Math Jeopardy(PowerPoint):

http://www.hardin.k12.ky.us/res_techn/Download/Jeopardy5A.ppt

 

 

 

 

 

X

Develop an understanding of fractions and mixed numbers using physical

materials and pictorial and numerical representations

Lessons:, 23, 30,, 36, 38, 39, 40, 41, 60, 67, 75, 76, 87, 90,

109, 113

Solve addition problems with fractions

Lessons: INV. 2, INV. 3, 41, 43, 59, 81, 91, 101, 116

Solve subtraction problems with fractions

Lessons: INV. 3, 41, 43, 59, 63, 81, 116

Identify common multiples of whole numbers

Lessons: 112, 116

Use methods of estimation appropriate to a given situation

Lessons: 62, 94, 101, 104

 

Saxon Math Online Activities:

http://www.saxonpublishers.com/activities/index.jsp

 

 

 

Chapter 13 Lessons 1-4

Chapter 16 Lessons 1-6

Chapter 17 Lessons 1-5

 

The Harcourt Learning Site:

www.harcourtschool.com

 

Multimedia Math Glossary:

www.harcourtschool.com/mathglossary

 

Alabama Course of Study:  Mathematics

 

Stanford 10

ARMT

 

Saxon

 

Prentice Hall (PH)

Harcourt (H)

5.)    Identify numbers less than zero by extending the number line.

Example: identifying negative temperatures (below 0°) on a thermometer

 

Technology Integration:

 

AAA Math:

http://www.aaamath.com/grade5.html

 

Line Jumper:

http://www.funbrain.com/linejump/index.html

 

Guess the Number?:

http://www.funbrain.com/guess/index.html

 

 

X

Understand concepts of positive and negative integers

Lessons: 12, 98

 

Saxon Math Online Activities:

http://www.saxonpublishers.com/activities/index.jsp

Chapter 22 Lessons 1-3

 

The Harcourt Learning Site:

www.harcourtschool.com

 

Multimedia Math Glossary:

www.harcourtschool.com/mathglossary

6.)    Demonstrate the commutative, associative, and identity properties of addition and multiplication of whole numbers.

 

Technology Integration:

 

AAA Math:

http://www.aaamath.com/grade5.html

 

X

Apply the associative property of numbers to solve problems

Lessons: 24

Apply the commutative property of numbers to solve problems

Lessons: 6, 15, 18

 

Apply the identity property of numbers to solve problems

Lessons: 6, 15

 

Saxon Math Online Activities:

http://www.saxonpublishers.com/activities/index.jsp

Chapter 4 Lesson 5

Chapter 12 Lesson 6

 

The Harcourt Learning Site:

www.harcourtschool.com

 

Multimedia Math Glossary:

www.harcourtschool.com/mathglossary

 

Alabama Course of Study:  Mathematics

 

Stanford 10

ARMT

 

Saxon

 

Prentice Hall (PH)

Harcourt (H)

7.)    Write a number sentence for a problem expressed in words.

 

Technology Integration:

 

AAA Math:

http://www.aaamath.com/grade5.html

 

X

Identify a solution sentence equivalent to a problem expressed in words

Lessons: 10, 11, 14, 16, 18, 21, INV. 3, 35, 43, 46

Select from and use number sentences to represent real-life situations

Lessons: 10, 11, 14, 16, 18, 21, INV. 3, 35, 43, 44

 

Saxon Math Online Activities:

http://www.saxonpublishers.com/activities/index.jsp

Chapter 4 p 62, Lessons 2, 3

Chapter 12 Lessons 1, 4, 6

 

The Harcourt Learning Site:

www.harcourtschool.com

 

Multimedia Math Glossary:

www.harcourtschool.com/mathglossary

8.)    Identify regular polygons and congruent polygons.

• Identifying angles as right, obtuse, acute, or straight
• Classifying triangles as equilateral, isosceles, or scalene
• Identifying figures that have rotational symmetry
• Predicting the results of a flip (reflection), turn (rotation), or slide (translation)

 

Technology Integration:

 

AAA Math:

http://www.aaamath.com/grade5.html

 

Shape Surveyor:

http://www.funbrain.com/poly/index.html

 

Geometry Web Page:

http://homepage.mac.com/efithian/geometry.html

 

 

Math Forum @ Drexel:

http://mathforum.org/sum95/suzanne/tess.intro.html

 

 

 

X

Identify, classify, and draw angles

Lessons: 32, 36, INV. 4

Exhibit proficiency in identifying parallel lines, perpendicular lines, squares,

rectangles, triangles, cubes, rectangular prisms, cones, cylinders, and pyramids

Lessons: 31, 32, 36, 45, 83

Reason informally about properties (including lines of symmetry) of rectangles,

squares, triangles (named by both lengths of sides and angles), and rectangular

prisms

Lessons: 32, 36, INV. 4, 45, 83, 88, 103, 105

Identify symmetry and construct symmetrical two- and three-dimensional shapes

Lessons: 105

Draw and discuss rotations

Lessons: 88

Draw and discuss reflections

Lessons: 88

Draw and discuss rotations

Lessons: 88

Draw and discuss translations

Lessons: 88

 

Saxon Math Online Activities:

http://www.saxonpublishers.com/activities/index.jsp

 

 

Chapter 20 Lessons 1-7

Chapter 21 Lesson 1

Transformations and Tessellations

Chapter 21 Lesson 3

 

The Harcourt Learning Site:

www.harcourtschool.com

 

Multimedia Math Glossary:

www.harcourtschool.com/mathglossary

 

Alabama Course of Study:  Mathematics

 

Stanford 10

ARMT