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Cherokee County Schools

Mathematics Course of Study

Grade 7

         

 

Students in seventh grade display a wide range of differences in intellectual development and emotional maturity.  As students mature, they experiment with new mathematical approaches and concepts.  The seventh-grade mathematics classroom environment encourages communication, exploration, and risk taking that are critical as students become more confident and learn to exist in an ever-changing world.

 

The seventh-grade curriculum addresses a number of important mathematical concepts.  One of the key topics is rational number operations.  Seventh-grade students become fluent in rational number operations and establish skills needed to become successful problem solvers.  Solving equations is another major focus of the curriculum as students prepare for further study of algebra.  Students continue to engage in thoughtful activities, using hands-on materials and technology to explore important mathematical concepts included in the seventh-grade curriculum.

 

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

Alabama High School Graduation Exam

Saxon

               Lesson

Prentice Hall

Chapter-Lesson

 

1.  Demonstrate computational fluency with addition, subtraction, and multiplication of integers.

 

http://www.saxonpublishers.com/

 

http://www.phschool.com/

 

 

X

 

I-2:  Add/subtract polynomials

I-3:  Multiply polynomials

I-4:  Factor polynomials

 

See Bulleted Material.

 

1-7, 1-8, 1-9, 2-2, 3-1

 

·        Developing algorithms for performing operations on integers

 

 Example:   determining a

 systematic set of steps that can be

 used to subtract integers

 

 

 

X

 

I-2:  Add/subtract polynomials

I-3:  Multiply polynomials

I-4:  Factor polynomials

 

1, 2, 3, 8, 9, 10, INV. 1, 11, 12, 13, 14, 15, 16, 22, 23, 24, 25, 26, 27, 28, 29, 30, 35, 36, 37, 39, 41, 44, 45, 46, 49, 50, 53, 54, 55, 56, 60, 61, 65, 66, 69, 70, INV. 7, 71, 72, 73, 74, 75, 76, 77, 81, 82, 83, 84, 85, 87, 88, 89, 90, INV. 9, 91, 92, 93, 95, 96, 97, 98, 99, 100, INV. 10, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 115, 116, 117

 

 

1-6, 1-7, 1-8

 

·        Using inverse properties of addition and of multiplication

 

 

 

 

X

 

I-4:  Factor polynomials

II-1:  Solve multi-step equations

 

 

 

 

 

 

2, 4, 9, 25, 26, INV. 7, 90

 

 

2-3, 2-4, 2-5, 2-6, 2-9, 2-10, 3-3

 

Alabama Course of Study:  Mathematics

SEVENTH GRADE

Stanford 10/

          ARMT

Alabama High School Graduation Exam

Saxon

Lesson

Prentice Hall

Chapter-Lesson

 

2.  Use order of operations to evaluate numerical expressions.

 

X

 

I-1:  Apply order of operations

 

 

See Bulleted Material.

 

1-9, 2-1

 

 

·        Computing absolute values

 

 

 

X

 

I-1:  Apply order of operations

I-2:  Add/subtract polynomials

I-3:  Multiply polynomials

I-4:  Factor polynomials

 

20, 51, 57, 59, 64, 83, 87, 100, 103, 109, 112

 

1-6, 1-7

 

 

·        Finding square roots of perfect squares through 225

 

 

 

X

 

II-2:  Solve quadratic equations

 

5, 20, 47, 51, 57, 59, 64, 69, 83, 87, 99, 100, 103, 105, 109, 111, 112, INV. 12

 

8-5

 

 

·        Evaluating powers

 

 

 

 

X

 

I-3:  Multiply polynomials

I-4:  Factor polynomials

 

5, 20, 21, 47, 51, 57, 69, 83, 85, 87, 99, 100, 103, 105, 109, 111, 112, INV. 12

 

 

3-1, 3-2, 3-7

 

 

·        Applying properties of operations to compute with integers, fractions, and decimals

 

 

 

X

 

I-1:  Apply order of operations

 

1, 2, 3, 4, 8, 9, 10, INV. 1, 11, 12, 13, 14, 15, 16, 22, 23, 24, 25, 26, 27, 28, 29, 30, 35, 36, 37, 39, 41, 44, 45, 46, 49, 50, 53, 54, 55, 56, 60, 61, 64, 65, 66, 68, 69, 70, INV. 7, 71,72, 73, 74, 75, 76, 77, 81, 82, 83, 84, 85, 87, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, INV. 10, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, INV. 11, 111, 112, 113, 115, 116, 117, 119, INV. 12

 

1-2, 1-3, 1-9, 3-1, 3-5, 4-2, 4-3, 4-4, 4-5

Alabama Course of Study:  Mathematics

SEVENTH GRADE

Stanford 10/

          ARMT

Alabama High School Graduation Exam

Saxon

Lesson

Prentice Hall

Chapter-Lesson

 

3.  Solve problems requiring the use of operations on rational numbers.

 

 

X

 

I-1:  Apply order of operations

I-2:  Add/subtract polynomials

I-3:  Multiply polynomials

 

 

 

See Bulleted Material.

 

1-1, 1-2, 1-3, 1-5, 1-7, 1-8, 2-7, 3-6, 3-8, 3-9, 3-10, 4-1, 4-2, 4-3, 4-4, 4-5, 4-8, 5-5

 

 

·        Describing the method used

 

 

 

X

 

VI-1:  Translate:  Verbal or Symbolic

VII-8:  Solve problems:  Algebraic Concepts

 

 

1, 2, 3, 8, 9, 10, INV. 1, 11, 12, 13, 14, 15, 16, 22, 23, 24, 25, 26, 27, 28, 29, 30, 35, 36, 37, 39, 41, 44, 45, 46, 49, 50, 53, 54, 55, 56, 60, 61, 65, 66, 69, 70, 71, 72, 73, 74, 75, 76, 77, 81, 82, 83, 84, 85, 87, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 101, 102, 103,104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 115, 116, 117

 

 

4-7, 5-3, 8-10

 

 

·        Determining the reasonableness of  results

 

 

 

X

 

VII-8:  Solve problems:  Algebraic Concepts

 

3, 12, 13, 29, 97, INV. 9, INV. 11

 

1-5, 2-7, 3-7, 4-7, 5-3, 8-10

 

·        Using percents to solve problems, including problems involving discounts, taxes, commissions, and simple interest 

 

 

 

X

 

VII-8:  Solve problems:  Algebraic Concepts

 

8, INV. 1, INV. 4, 43, 48, INV. 5, 60, 74, 76, 77, 92, INV. 10, 110

 

6-2, 6-3, 6-4, 6-5, 6-6, 6-7, 6-9, 9-7

 

Alabama Course of Study:  Mathematics

SEVENTH GRADE

Stanford 10/

          ARMT

Alabama High School Graduation Exam

Saxon

Lesson

Prentice Hall

Chapter-Lesson