Teacher:  Ivan Jefferson

  Email:  ijeffers@greenville.k12.sc.us

 Phone:  864-355-0392

 Extra Help: Tuesdays and Thursdays, by appointment

Essentials of Math II: 

Practical Algebra emphasizes basic mathematical concepts needed to compute real world algebraic problems that are aligned to the South Carolina College and Career-Ready Standards and the Profile of the South Carolina Graduate. Practical Algebra builds essential concepts necessary for students to meet their post-secondary goals (whether they pursue additional study or enter the workforce). This course will allow students to identify and utilize structure and patterns as well as communicate mathematically and approach mathematical situations with precision utilizing mathematical tools effectively.

BASIC ALGEBRA 

Standard 1: Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable. (Limit to linear; quadratic; exponential with integer exponents.)

Standard 2: Solve literal equations and formulas for a specified variable including equations and formulas that arise in a variety of disciplines.

Standard 3: Understand and justify that the steps taken when solving simple equations in one variable create new equations that have the same solution as the original.

Standard 4: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Standard 5: Solve systems of linear equations algebraically and graphically focusing on pairs of linear equations in two variables. (Note: a and b are not Graduation Standards.)

a. Solve systems of linear equations using the substitution method.

b. Solve systems of linear equations using linear combination.

Standard 6: Graph functions from their symbolic representations. Indicate key features including intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. Graph simple cases by hand and use technology for complicated cases.

Standard 7: Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or more generally as a polynomial function. Standard 8: Add, subtract, and multiply polynomials and understand that polynomials are closed under these operations.

Standard 9: Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable.

Standard 10: Write a function that describes a relationship between two quantities. (Note: a. is not a Graduation Standard.)

a. Write a function that models a relationship between two quantities using both explicit expressions and a recursive process and by combining standard forms using addition, subtraction, multiplication and division to build new functions.

b. Combine functions using the operations addition, subtraction, multiplication, and division to build new functions that describe the relationship between two quantities in mathematical and real- world situations.

Competency Goals

1. Apply algebraic properties to solve problems.

2. Understand patterns and relationships.

3. Understand the concepts of variables, expressions, equations, and/or inequalities.

4. Add, subtract, and multiply polynomials.

5. Create and solve equations.

6. Understand how to factor simple equations.

7. Add/Subtract/Multiply/Divide positive and negative integers.

8. Understand how to work with exponents and square roots.

9. Plot points on a coordinate plane.

10. Graph linear equations on a coordinate plane activities in the household.

11. Apply mathematical skills to entertainment and leisure activities.

12. Recognize symbols/signs used for basic arithmetic operations of subtraction, addition, multiplication, and division.

13. Demonstrate the knowledge of 4 basic arithmetic operations w/ whole numbers.

 BASIC CALCULATOR SKILLS FOR ALGEBRA 

A mathematically literate student can:

Use a variety of mathematical tools effectively and strategically.

a. Select and use appropriate tools when solving a mathematical problem.

b. Use technological tools and other external mathematical resources to explore and deepen understanding of concepts.

Competency Goals

1. Use a calculator to solve real world word problems.

2. Use a calculator to solve real world decimal problems.

3. Use a calculator to solve real world fraction and mixed number problems.

4. Use a calculator to solve algebraic math problems.

Essentials of Math III

Emphasize the mathematical concepts needed to compute real world algebraic and geometric problems that are aligned to the South Carolina College and Career-Ready Standards and the Profile of the South Carolina Graduate. This course will allow students to identify and utilize structure and pattern as well as communicate mathematically and approach mathematical situations with precision utilizing mathematical tools effectively.

ONE STEP MATHEMATICAL OPERATIONS : QUANTITY, MONEY, TIME MEASUREMENT, FRACTION, DECIMALS, NEGATIVE NUMBERS 

Standard 1: Add, subtract, and multiply polynomials and understand that polynomials are closed under these operations. (Limit to linear; quadratic.)

Standard 2: Understand and justify that the steps taken when solving simple equations in one variable create new equations that have the same solution as the original.

Competency Goals

1. Add, subtract, multiply, and divide using whole numbers.

2. Add and subtract using positive and negative numbers.

3. Change a quantity from one form to another using whole numbers, fractions, decimals, and percentages.

4. Solve simple one step word problems in a systematic manner.

5. Demonstrate a mastery of measurement using a ruler and tape measure.

 MULTIPLE STEP PROBLEMS (REORDER INFORMATION): MONEY, TIME, FRACTIONS, DECIMALS, PERCENTAGES, MEASUREMENT, AVERAGES, PROPORTIONS, GRAPHS AND DIAGRAMS 

Standard 1: Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes. (Limit to linear; quadratic; exponential.)

Standard 2: Analyze decisions and strategies using probability concepts.

Competency Goals

1. Reorder information and eliminate information to solve problems.

2. Calculate one-step conversion.

3. One or two mathematical operations; addition, subtraction, multiplication, or division on positive or negative numbers.

4. Calculate averages, simple ratios, proportions, and rates using whole numbers and decimals.

5. Add simple fractions, decimals, or percentages.

6. Read and draw simple graphs and diagrams.

 MULTIPLE STEP PROBLEMS (EXTRANEOUS INFORMATION): FRACTIONS, DECIMALS, PERCENTAGES, MEASUREMENT, PERIMETER, AREA, PRODUCTION RATES, BEST DEALS 

Standard 1: Solve literal equations and formulas for a specified variable including equations and formulas that arise in a variety of disciplines.

Standard 2: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

Standard 3: Use units of measurement to guide the solution of multi-step tasks. Choose and interpret appropriate labels, units, and scales when constructing graphs and other data displays.

Competency Goals

1. Separate the important facts from the information.

2. Look up formulas and use them to perform one step conversions.

3. Calculate using mixed units.

4. Calculate perimeter and areas.

5. Calculate percentage discounts or markups.

6. Complete a balance sheet or order form.

7. Calculate the best deal using one or two step calculations to compare costs.

 PROBLEM SOLVING: MULTIPLE STEPS, FRACTIONS, DECIMALS, PERCENTAGES, AREA & VOLUME, RATE PROBLEMS, BEST DEALS 

Standard 1: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Standard 2: Solve literal equations and formulas for a specified variable including equations and formulas that arise in a variety of disciplines.

Standard 3: Understand and justify that the steps taken when solving simple equations in one variable create new equations that have the same solution as the original.

Competency Goals

1. Solve complicated multiple step problems.

2. Calculate using negative numbers, fractions, ratios, percentages, and mixed numbers.

3. Calculate multiple rates.

4. Compare ratios or use them to perform other calculations.

5. Find areas and volumes of rectangles.

6. Calculate the best deal using the result in another problem.

7. Find mistakes in calculations.

 REASONING SKILLS (CAREFUL READING): MULTIPLE STEPS, VOLUME AND AREA, RATIOS AND PROPORTIONS, BEST DEALS, TROUBLESHOOTING, UNKNOWN 

Standard 1: Explain the derivations of the formulas for the circumference of a circle, area of a circle, and volume of a cylinder, pyramid, and cone. Apply these formulas to solve mathematical and real-world problems.

Standard 2: Apply surface area and volume formulas for prisms, cylinders, pyramids, cones, and spheres to solve problems and justify results. Include problems that involve algebraic expressions, composite figures, geometric probability, and real- world applications.

Competency Goals

1. Do several steps of reasoning and multiple calculations.

2. Solve problems involving more than one unknown.

3. Calculate the percentage of change.

4. Calculate multiple areas and volumes of sphere, cylinders, and cones.

5. Set up and manipulate complex ratios and proportions.

6. Determine the best economic value of several alternatives.

7. Find mistakes in multiple step calculations.

Classroom Materials:

• Google Chromebook & charger 

• Pencils, pens, highlighters (provided by teacher)

• Loose-leaf paper or notebook paper (provided by teacher)

• Folder with pockets and three prongs (provided by teacher)

• Plug in headphones for Chromebook (provided by teacher or you may use your own) (NOT BLUETOOTH) 

Classroom Expectations:

1) Be PREPARED

• Arrive to class on time

• Bring all necessary materials (Charged Chromebooks, assignments, & an open mind)

• PHONES & HEADPHONES KEPT IN BACKPACKS!   

2) Be PRESENT

• Physically & mentally 

• Active participation (ask questions, seek help, make connections, & help others) 

3) Be POLITE

• Be respectful towards your teachers, classmates, and yourself

• Be open-minded, patient, and respectful during class and collaborative discussions

4) Be POSITIVE

• Come to class ready and open to learning new concepts and material

• Be someone who others want to collaborate with, respect, and be around. 

• You will make mistakes, but you will learn and grow from them. 

Uniform Grading Scale

The Uniform Grading Policy approved by the State Board of Education is effective for all students enrolled in unit-bearing classes, including those offered at the middle school level.

The SC Grading Scale is as follows:
A= 90-100; B= 80-89, C= 70-79, D= 60-69, F= 0-59

WF= 50, FA=50, P= no value, WP= no value, AU= no value, NP=no value

SC Uniform Grading Scale

2nd-12th Grade

The following grade scale will be applied to students in grades 2-12.

A=100-90    B=89-80    C=79-70 D=69-60 F=59-50     

For Carnegie Unit courses please refer to the state Uniform Grading Policy (UGP) for quality points and state regulations guiding credit-bearing courses. 

Grading Floors

High School Students (Grades 9-12)

A floor of 50 will be applied to quarter report cards for High School Students (9-12).  The floor will not be applied to Interim Progress reports.

Redo/Retake/Revision

Students will be given the opportunity to redo minor assessments and retake major assessments due to failing grades based on teacher's discretion