Cherokee County Schools
Mathematics Course of Study
Grade 8
(Pre-Algebra)
Students in Grade 8 are independent thinkers. They can apply prior knowledge to new situations but may need to be guided through the learning process by continuing the use of hands-on materials, mathematical discourse, and technology. These students have the ability to take ownership of their own mathematical learning and need opportunities to explore and investigate mathematical concepts. Students in Grade 8 also need to be provided with instruction that includes a balance between skill development and mathematical understanding.
The major focus of the eighth-grade curriculum is the integration of new and prior knowledge to solve problems dealing with all mathematical strands, with particular emphasis on algebra, geometry, and proportional reasoning. This curriculum offers a more in-depth study of algebraic concepts than in years past. Therefore, this course is subtitled Pre-Algebra. Students who successfully complete the eighth grade have a thorough knowledge of the skills and concepts necessary for the study of Algebra I. High school credit may not be awarded for this course.
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.
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EIGHTH GRADE Alabama Course of Study: Mathematics |
Stanford 10/ ARMT |
Alabama
High School Graduation Exam
|
Saxon
Lesson |
Prentice Hall Chapter-Lesson |
|
1. Use various strategies and operations to solve problems involving real numbers. http://www.saxonpublishers.com/ |
X |
VII-8: Solve problems: Algebraic Concepts |
See Bulleted Material. |
1-7, 1-8, 2-7, 3-8, 4-5,
5-6, 6-10, 7-4, 8-6, 9-4, 10-8, 11-4, 12-9, 13-8 |
|
· Using alternative representations of rational numbers Examples: models, drawings, grids, graphs |
X |
VII-8: Solve problems: Algebraic Concepts |
2A, 8B, 101A, 101B, 123B |
4-6, 5-2, 6-5, 6-6, 6-7, 6-8, 6-9 |
|
· Applying GCF, LCM, and prime and composite numbers, including justification for the reasonableness of results, when working with rational numbers Example: A new music store is having a grand opening. Every 20th customer gets a free compact disk (CD). Every 35th customer gets a free tote bag. The first customer to receive both gifts will be the 140th
customer, because 140 is the LCM of 20 and
35. The answer (140th) is reasonable
because it is larger than both 20 and 35. To say that the 5th customer, which is the GCF of 20 and
35, receives the gift is not reasonable
because it is smaller than 20 and 35. |
X |
I-2: Add and subtract polynomials I-3: Multiply polynomials I-4: Factor
polynomials |
7C, 14B, 20A, 20B |
4-1, 4-3, 4-4, 5-1 |
Alabama Course of Study: Mathematics
EIGHTH GRADE |
SAT10/ ARMT |
Alabama High School Graduation Exam |
Saxon Lesson |
Prentice Hall Chapter-Lesson |
|
· Applying proportional reasoning Example: The amount of rainfall recorded for a certain town in a 24-hour period is 16 inches. Since the rain fell 2 inches every 3 hours, 24 inches of rain will fall in 1 days if the rain continues at the same
rate. |
X |
VII-7: Solve problems: Direct Variation |
54A, 54B, 59, 65A, 65B, 83 |
6-1, 6-2, 6-6, 6-8, 11-1 |
|
· Using vocabulary associated with sets, including union and intersection |
X |
None |
1A, 21, 26A, 26B, 123 |
None |
|
· Determining whether a number is rational or irrational |
X |
None |
123B |
None |
|
· Demonstrating computational fluency with operations on rational numbers |
X |
I-2: Add and subtract polynomials I-3: Multiply polynomials VII-8: Solve problems:
Algebraic Concepts |
17, 21, 25, 26, 27,
32, 41, 44B, 45, 46, 49, 50B, 52, 54A, 54B, 56,57, 58, 59, 60, 61, 62, 63,
64, 65B, 66, 67, 68A, 68B, 71, 73, 74, 76, 79, 81, 82, 83, 84, 87, 88, 90,
91, 93, 94A, 94B, 95, 96, 97,101A, 101B, 102, 103, 106B, 106C, 110, 111B,
117A, 117B, 117C, 120B |
1-4, 1-5, 1-6, 1-9, 5-3,
5-4, 5-7, 5-8, 6-7, 6-8, 6-9, 7-8 |
Alabama Course of Study: Mathematics
EIGHTH GRADE |
SAT10/ ARMT |
Alabama High School Graduation Exam |
Saxon Lesson |
Prentice Hall Chapter-Lesson |
|
2. Simplify expressions containing natural number exponents by applying one or more of the laws of exponents. |
X |
I-3: Multiply polynomials |
See Bulleted Material. |
4-2, 4-7, 4-8, 4-9, 5-9 |
|
· Writing numbers using scientific notation |
X |
I-3: Multiply polynomials |
50A, 50B, 76 |
4-9 |
|
3. Use order of operations to evaluate and simplify algebraic expressions. |
X |
I-1: Apply order of operations I-2: Add and subtract polynomials I-3: Multiply polynomials |
See Bulleted Material. |
1-1, 1-2, 1-3, 2-3 |
|
· Applying the substitution principle |
X |
VI-1: Translate: Verbal or Symbolic; Graph: Equations or Inequalities |
39B |
1-3, 2-4, 3-4, 7-8 |
|
· Applying the properties of operations on rational numbers to evaluate and simplify algebraic expressions |
X |
I-2: Add and subtract polynomials I-3: Multiply polynomials VI-1:
Translate: Verbal or Symbolic;
Graph: Equations or Inequalities |
