6th-8th Math

6th-8th Math Syllabus 2023-2024

6th Grade Math-

Mr. Patz Contact Information:

Email: mpatz@greenville.k12.sc.us

Phone

(864)355-2135

Course Description for 6th Grade Math:

In Math 6, SCCCR Mathematics Standards focus on four critical areas: (1) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (2) completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers; (3) writing, interpreting, and using expressions and equations; and (4) developing an understanding of statistical thinking.

For a complete understanding of the essential knowledge and skills in mathematics, read the SCCCR Mathematics Standards in their entirety; the seven process standards will be incorporated throughout this course.

Students will increase their understanding of the course material by participating in independent problem solving, classwork, quizzes, tests, group and individual projects.

Textbook:

This year our class is using the Carnegie Learning Math Solution to implement our math curriculum. The Carnegie Learning Math Solution includes two elements: a consumable textbook and the MATHia software. The consumable textbook has space for writing, sketching, calculating, cutting, pasting, and constructing new mathematical ideas. Students may want to highlight key terms and take notes in the margins. Your student will also practice the math skills learned in the classroom as they work independently using MATHia software. Your student can access the MATHia software 24/7.

Course Scope & Sequence:

The instructional resources used in this course consist of five modules:

Module 1: Composing and Decomposing

Students build on what they already know about area, number properties, and volume. They will learn to approach a problem by decomposing (taking apart) or composing (putting together) objects and numbers. They will examine the relationships between numbers and shapes, using area models to solve problems. Students will strengthen their skills with fraction operations and use decimal operations to solve volume and surface area problems.

Module 2: Relating Quantities

Students build on their experiences solving addition and multiplication word problems and representing real-world situations on a coordinate plane. They will consider different ways quantities can be related to each other. They will learn about ratios and proportional relationships and reason about these relationships using various models, such as double number lines, ratio tables, and graphs. Students will learn about percents, unit rates, and conversion rates.

Module 3: Determining Unknown Quantities

Students build on their knowledge of numeric expressions, patterns, and operations, which they developed throughout elementary school. Students will use properties of arithmetic and apply them to algebraic expressions. They will investigate equations and graphs and develop strategies to make sense of and reason about unknown quantities in real-world and mathematical problems.

Module 4: Moving Beyond Positive Quantities

Students extend their understanding of numbers and the number line to include negative numbers. They will use a number line to represent, make sense of, and order negative numbers. Students will build on their knowledge of the coordinate plane to construct a four-quadrant graph. Throughout the module, students will analyze and solve a variety of real-world problems.

Module 5: Describing Variability of Quantities

Students build on the data displays that they have used in elementary school, namely line plots, bar graphs, and circle graphs. They will be introduced to the field of statistics, the study of data, and the statistical problem-solving process. Students will calculate numerical summaries to describe a data set. They will also learn what separates mathematical and statistical reasoning—the presence of variability.

Materials Required:

Composition notebook, folder (w/prongs & pockets), pencils, tape or glue stick, and earbuds. We need to maintain excellent work habits, bring all materials to class every day.

General Supplies (will be used in all classes): loose-leaf paper, pencils with erasers, pencil pouch, inexpensive WIRED ONLY earbuds/ headphones, pencil sharpener, scotch tape, colored pencils/crayons, highlighters, glue sticks, index cards and sticky notes.

Classroom Expectations:

Be respectful to all people at all times.
Think of others and make good choices.
Be prepared and on time for class.
Listen and follow directions the first time.
Complete all work with the best quality.
Raise your hand for assistance.

Grading Policy:

Major: Tests / Projects 50%

Minor: Quizzes / Other Assignments 50%

Grading Scale

100-90 A

89 - 80 B

79 - 70 C

69 - 60 D

59 & Below F

7th Grade Math-

Mr. Patz Contact Information:

Email: mpatz@greenville.k12.sc.us

Phone

(864)355-2135

Textbook Title:

South Carolina Middle School Math Solution Course 2 - Carnegie Learning
MATHia student software
Dreambox software

Course Description:

In Math 7, SCCCR Mathematics Standards focus on four critical areas: (1) developing an understanding of and applying proportional relationships; (2) developing an understanding of operations with rational numbers and working with expressions and linear equations; (3) solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume; and (4) drawing inferences about populations based on samples.

Priority Learning Standards for Math 7:

Extend prior knowledge to translate among multiple representations of rational numbers (fractions, decimal numbers, percentages). Exclude the conversion of repeating decimal numbers to fractions..
Apply the concepts of all four operations with rational numbers to solve real-world and mathematical problems.
Solve real-world and mathematical problems involving ratios and percentages using proportional reasoning (e.g., multi-step dimensional analysis, percent increase/decrease, tax).
Extend previous understanding of Order of Operations to solve multi-step real-world and mathematical problems involving rational numbers. Include fraction bars as a grouping symbol.
Extend prior knowledge of operations with positive rational numbers to multiply and to divide all rational numbers.
Apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations.
Apply the concepts of two- and three-dimensional figures to real-world and mathematical situations.
Write equations to solve problems involving the relationships between angles formed by two intersecting lines, including supplementary, complementary, vertical, and adjacent.
Investigate the concept of circles.
Compare the numerical measures of center (mean, median, mode) and variability (range, interquartile range, mean absolute deviation) from two random samples to draw inferences about the populations.
Visually compare the centers, spreads, and overlap of two displays of data (i.e., dot plots, histograms, box plots) that are graphed on the same scale and draw inferences about this data.
Extend the concepts of simple events to investigate compound events.

Course Scope and Sequence (Year-at-a-Glance document)

The instructional resources used in this course consist of five modules:

Module 1: Thinking Proportionally

Students build on their experiences with ratios and proportional relationships from grade 6. They will investigate special ratios to develop and connect formulas for the circumference and area of circles. Students will identify and describe proportional and non-proportional mathematical and real-world situations to understand the characteristics of proportional relationships. They will then use formal strategies to solve proportion and percent problems.

Module 2: Operating with Signed Numbers

Students build on their experiences with signed numbers and absolute value in grade 6. They will use physical motion, number line models, and two-color counters to develop an understanding of the rules for operating with positive and negative numbers. Students will then solve real-world and mathematical problems involving positive and negative rational numbers.

Module 3: Reasoning Algebraically

Students build on their experiences with algebraic expressions and one-step equations in grade 6. The expressions, equations, and inequalities they encounter will involve a wide range of rational numbers and require two steps rather than one. Students will write equations and inequalities for problem situations, interpret the meanings of quantities in the problems, create tables of values, graph problem situations, and make connections across the representations.

Module 4:Analyzing Populations and Probabilities

Students will learn the basics of probability and use the theoretical and experimental probability of simple and compound events to make predictions. They will use models and simulations to determine probabilities. Students will build on their experiences with measures of center, the five-number summary, plots of numerical data, and proportional reasoning to draw comparative inferences between two populations.

Module 5: Constructing and Measuring

Students build on their experiences with angles and triangles and introduce the construction of familiar geometric objects. They will construct basic geometric objects with a compass and straightedge and later use these techniques to construct triangles. Students will use patty paper to investigate special types of angle relationships and then use those relationships to write and solve equations to determine unknown values in a figure. They will use their knowledge of polygons and polyhedra to create and describe cross-sections of right rectangular prisms and pyramids. Finally, students will extend their knowledge of volume and surface area to solve problems involving a variety of three-dimensional solids.

Materials Needed for Course: Composition notebook, folder (w/prongs & pockets), pencils, tape or glue stick, and earbuds. We need to maintain excellent work habits, bring all materials to class every day.

Classroom Expectations:

While in my classroom, I expect students to…

Enter class quietly and complete the bellwork/warm up activity
Listen actively and contribute respectively
Make sure assignment directions are understood. Ask questions if they are not clear to you.
Use your manners and show respect to other students, the teacher, and yourself. No put downs or derogatory language.

Grading Policy:

Major: Tests / Projects 50%

Minor: Quizzes / Other Assignments 50%

Grading Scale

100-90 A

89 - 80 B

79 - 70 C

69 - 60 D

59 and Below F

8th Grade Math-

This standards-based eighth grade course places strong emphasis on applications of the mathematical concepts and skills related to rational numbers to solving a variety of real-world problems. In addition, students will extend their understanding of the concepts proportion and measurement in problem-solving situations. Students will further develop their algebraic thinking by investigating graphical, symbolic, tabular, and verbal representations of relationships. This is a grade level course that will both enrich and remediate as necessary. Some students placed in Math 8 are more advanced than others and require acceleration. Others are still mastering basic skills and need more assistance.

Instruction will be based on the Greenville County Schools curriculum guide and the South Carolina College and Career Readiness Standards for Mathematics. These standards can be accessed here: SC Math 8 Standards

UNITS OF STUDY

Unit 1: Transformations

Unit 2: Similarity

Unit 3: Line & Angle Relationships

Unit 4: Proportional Relationships

Unit 5: Linear Relationships

Unit 6: Introduction to Functions

Unit 7: Bivariate Data

Unit 8: Solving Linear Equations

Unit 9: Systems of Linear Equations

Unit 10: The Real Number System

Unit 11: Pythagorean Theorem

Unit 12: Exponents & Scientific Notation

Unit 13: Volume of Curved Figures

TEXTBOOK & MATERIALS

Text - Carnegie Math

Mathia - Online math practice program

Calculator - A graphing calculator is not necessary for this course. It is recommended that students have a TI-30 scientific calculator.

GRADING

Major Grades - 50%

Minor Grades - 50%