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Cherokee County Schools

Mathematics Course of Study

Grade 6

         

 

Students in sixth grade are changing physically, socially, and cognitively.  The sixth-grade classroom environment addresses these changes by providing balance between elementary- and middle-level practices.  While these changes are leading to emotional and academic independence, students in this grade continue to need guidance.  Sixth-grade students also need an environment that challenges them and provides support, as they become more responsible individuals.

 

The sixth-grade curriculum is designed to maximize student learning through the use of manipulatives, social interaction, and technology.  The curriculum assists students as they begin the transition of mathematical thought processes from the concrete to the abstract.  Opportunities are provided for students to gain a thorough understanding of decimals and fractions while integrating these number sense concepts into the other mathematical strands.

 

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

Lesson

Prentice Hall (Chapter-Lesson)/

Harcourt (Chapter. Lesson)

 

1.      Demonstrate computational fluency with addition, subtraction, multiplication, and division of decimals and fractions.

 

http://www.saxonpublishers.com/

 

http://phschool.com/

 

http://www.harcourt.com/

 

http://www.harcourtschool.com/

 

 

X

 

 

 

See Bulleted Material.

 

P H – 1-1, 1-5, 1-7, 1-8, 1-9, 1-10, 3-1, 3-5, 3-9, 4-2, 4-3, 4-4, 4-5, 5-1, 5-2, 5-3, 5-4, 5-5, 5-6, 6-5, 9-10, 12-4

H – 1.3, 1.4, 2.1, 3.1, 3.2, 3.3, 3.4, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 7.1, 9.2, 9.3, 8.1, 9.2, 9.3, 9.4, 9.5, 10.2, 10.3, 10.4, 10.5, 11.1, 11.2, 11.3, 11.4, 12.1, 12.2, 12.3, 12.4, 12.5, 13.1, 13.2, 13.3, 13.4, 25.5, 25.6, 27.4, 29.1, 29.2, 29.3, 29.4, 29.5, 29.6

 

 

·        Comparing rational numbers written as fractions, decimals, mixed numbers, and percents

 

 

 

X

 

 

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43,44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 59, 61, 62, 63, 65, 66, 67, 68, 70, 72, 73, 74, 75, 76, 77, 80, 81, 83, 84, 85, 87, 88, 89, 91, 92, 94, 95, 98, 99, 100, 101, 104, 105, 106, 111, 112, 113, 114, 115, 116, 117, 119

 

 

P H – 1-3, 3-4, 3-7, 3-8, 4-1, 6-6

H – 8.1, 8.3, 19.4, 19.5, 28.3

 

 

 

 

    • Converting fractions and mixed numbers to decimals and percents

 

 

 

X

 

 

2, 6, 17, 21, 22, 24, 25, 26, 29, 30, 33, 35, 36, 41, 42, 43, 44, 46, 48, 53, 54, 55, 58, 62, 66, 67, 68, 70, 72, 73, 74, 75, 76, 77, 92, 94, 95, 99, 105, 115

 

 

 

P H – 3-8, 6-6, 7-5, 11-1

H – 3.4, 8.2, 8.4, 8.5, 25.2, 26.1, 27.5

 

Alabama Course of Study:  Mathematics

SIXTH GRADE

SAT 10/

ARMT

Saxon

Lesson

Prentice Hall (Chapter-Lesson)/

Harcourt (Chapter. Lesson)

 

    • Converting terminating decimals and percents to fractions and mixed numbers

 

 

X

 

2, 22, 26, 29, 33, 35, 41, 42, 43, 44, 46, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 66, 67, 68, 70, 72, 73, 74, 75, 76, 94, 95, 99, 105, 115

 

 

P H – 3-8, 6-6, 6-7, 6-8

H – 3.4, 4.6, 8.2, 8.5, 25.2, 26.1, 27.5

 

 

 

    • Writing decimals numbers in expanded notation

                  Example:    52.37 = 50 + 2 +  +

 

 

X

 

32, 34, 35, 36, 37, 38, 39, 40, 43, 44, 45, 46, 49, 50, 51, 52, 53, 73, 74, 75, 76, 94, 99

 

 

P H – 1-2

H – 3.1

 

 

 

    • Using prime factorization

 

 

 

X

 

19, 65, 67

 

P H – 3-2, 3-3, 3-6

H – 7.3

 

 

    • Identifying prime and composite numbers

 

 

X

 

19, 65, 67

 

 

P H – 3-2, 3-3, 3-6

H – 7.2

 

 

    • Using greatest common factor (GCF)  to simplify fractions

 

 

X

 

 

19, 20, 21, 29, 65, 67

 

 

P H – 3-4, 5-1, 5-2, 5-3, 5-4

H – 7.4, 8.2
    • Formulating algorithms using basic operations on fractions and decimals

 

Example:  determining a systematic

set of steps that can be used to divide fractions

X

1, 2, 3, 4, 5, 6, 11, 12, 13, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 65, 66, 67, 68, 70, 72, 73, 74, 75, 76, 77, 80, 81, 83, 84, 85, 87, 88, 89, 92, 94, 95, 99, 100, 101, 104, 105, 106, 111, 112, 113, 114, 115, 116, 117, 119

P H – 1-5, 1-7, 1-8, 1-9, 1-10, 4-2, 4-3, 4-4, 4-5, 5-1, 5-2, 5-4

H – 2.1, 2.2, 2.3, 2.6, 2.7, 3.2, 4.7, 10.6, 10.7, 11.1, 11.2, 11.3, 11.4, 12.1, 12.2, 12.3, 12.4, 13.1, 13.2, 13.3, 13.4

 

Alabama Course of Study:  Mathematics

SIXTH GRADE

SAT 10/

      ARMT

Saxon

Lesson

Prentice Hall (Chapter-Lesson)/

Harcourt (Chapter. Lesson)

 

    • Applying the distributive property to compute with fractions and decimals

 

                  Example:    4 x (8) = (4 x 8) + (4 x ) =

                                    32 + 2 = 34

 

X

 

1, 2, 3, 4, 5, 6, 11, 12, 13, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 65, 66, 67, 68, 70, 72, 73, 74, 75, 76, 77, 80, 81, 83, 84, 85, 87, 88, 89, 92, 94, 95, 99, 100, 101, 104, 105, 106, 111, 112, 113, 114, 115, 116, 117, 119

 

 

P H – 2-9

H – 2.3

 

 

 

    • Using least common multiple (LCM) to add and subtract fractions with unlike denominators

 

 

X

 

25, 30

 

 

P H – 4-3, 4-4, 4-5, 4-6

H – 7.4, 7.5, 9.3, 9.4, 9.5

 

 

2.  Solve problems involving decimals, percents, fractions, and proportions.

 

Example:    determining the sale price of a pair of jeans that regularly sells for $25 to be $22.50 if they are on sale at 10 percent off the regular price

 

 

 

 

 

 

 

 

 

 

 

X

 

See Bulleted Material.

 

P H – 1-6, 1-7, 1-9, 2-6, 2-7, 4-4, 4-5, 4-6, 5-4, 5-6, 5-8, 6-3, 6-4, 6-7, 6-8, 6-9

H – 2.1, 3.1, 3.2, 3.3, 3.4, 4.1, 4.2, 4.3, 4.4, 4.5, 4.7, 8.1, 8.2, 8.3, 8.4, 8.5, 9.2, 9.3, 9.4, 9.5, 9.6, 10.2, 10.3, 10.4, 10.5, 11.1, 11.2, 11.3, 11.4, 12.1, 12.2, 12.3, 12.4, 24.2, 24.3, 24.4, 24.5, 25.1, 25.2, 25.3, 25.5, 25.6, 26.1, 26.2, 26.3, 27.4, 27.5, 28.4

 

 

 

 

 

 

Alabama Course of Study:  Mathematics

SIXTH GRADE

SAT 10/

      ARMT

Saxon

Lesson

Prentice Hall (Chapter-Lesson)/

Harcourt (Chapter. Lesson)

 

·        Estimating with fractions and decimals

 

 

 

X

 

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

 

 

P H – 1-4, 1-5, 2-5, 4-1, 5-2, 5-4, 6-8

H – 1.1, 1.2, 3.3, 9.1, 10.1, 19.5, 19.6, 25.3