Math 6/7
Math 6/7 Syllabus - Hillcrest Middle School
Teacher: Carla Weneck
Contact Information:
Room: 414
Phone: 355 - 6181
Email Address: cweneck@greenville.k12.sc.us
Website (hyperlink) https://sites.google.com/greenvilleschools.us/weneck6thgrademath
Course Title: Math 6/7
Textbook Title:
South Carolina Middle School Math Solution Advanced 6 - Carnegie Learning
MATHia student software
Course Description:
In Math 6/7, SCCCR Mathematics Standards from grades 6 and 7 focus on five 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. (5) developing an understanding of operations with rational numbers and working with expressions and linear equations;
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.
Priority Learning Standards for Math 6/7:
Investigate and translate among multiple representations of rational numbers (fractions, decimal numbers, percentages). Fractions should be limited to those with denominators of 2, 3, 4, 5, 8, 10, and 100.
Understand that the positive and negative representations of a number are opposites in direction and value. Use integers to represent quantities in real-world situations and explain the meaning of zero in each situation.
4 Apply mathematical properties (e.g., commutative, associative, distributive) to justify that two expressions are equivalent.
Investigate multiple representations of relationships in real-world and mathematical situations.
Extend knowledge of inequalities used to compare numerical expressions to include algebraic expressions in real-world and mathematical situations.
Write and solve one-step linear equations in one variable involving non-negative rational numbers for real-world and mathematical situations.
Apply the concepts of ratios and rates to solve real-world and mathematical problems.
Apply the concepts of polygons and the coordinate plane to real-world and mathematical situations.
Unfold three-dimensional figures into two-dimensional rectangles and triangles (nets) to find the surface area and to solve real-world and mathematical problems.
Use visual models (e.g., model by packing) to discover that the formulas for the volume of a right rectangular prism (๐๐ =๐๐wโ,๐๐ =๐ต๐ตโ) are the same for whole or fractional edge lengths. Apply these formulas to solve real-world and mathematical problems.
Use center (mean, median, mode), spread (range, interquartile range, mean absolute value), and shape (symmetrical, skewed left, skewed right) to describe the distribution of a set of data collected to answer a statistical question.
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.
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.
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.
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: 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 4: Operating with Signed Numbers
Students build on their experiences with signed numbers and absolute value. 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 5: 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 6: Reasoning Algebraically
Students build on their experiences with algebraic expressions and one-step equations from earlier in the course. 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 7: 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 reasoningโthe presence of variability.
Module 8: 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.
Materials Needed for Course:
1 inch binder
Dividers
Basic Calculator
Pencils
Notebook Paper
Wired earbuds or headphones (no wireless)
Classroom Expectations:
While in my classroom, I expect students toโฆ
โ be prompt and prepared for class
โ be respectful of others at all times
โ be attentive to and participate in every lesson
โ provide best effort at all times
Grading Policy/Practices:
Major Grades - 50% Minor grades - 50%
Major grades - We will have 3 major assessments each quarter. Students will be notified of these assessments ahead of time and will be given a study guide to aid them in their preparation.
Minor grades - We will have 8 minor assessments each quarter. Minor assessments could include in-class assignments, quizzes or other skills based activities.
Late Work Procedures:
Students are expected to turn in assignments by the due date. Per school policy, students have 7 days to turn in late work. After 7 days, the assignment will no longer be accepted and a 50 will be recorded in the gradebook for the assignment.
Redo/Retake/Revise Procedures:
Students may request one retake on each major test. Students are responsible for notifying the teacher if a retake is desired and it must be completed within 5 days of the test being returned to the student. Prior to retaking, students must have completed all assignments for that unit of study to prepare them for their second attempt. The new test grade will be the average of the original test score and the retake test score. If the retake results in a lower score, the original grade will remain in the gradebook.