Mauldin Middle School
Teacher: A. Osteen
Contact Information:
Room:D-152
Phone:
Email Address: aosteen@greenville.k12.sc.us
Course Title: Math Skill Building Grade 7 (Supplements Core Math Standards)
Textbook Title: (Skillbuilding)
Number Worlds
McGraw Hill
Math 7 Course Description: (Skill Building supports and supplements the core math class.)
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.
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 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.
Paper/Pencils
Notebook (TBD)
Dry erase markers
Highlighters
While in my classroom, I expect students to contribute to the daily learning process. A general goal for all classes is for the students to become more successful with their mathematics skills, connect math to real-world applications, participate in problem solving through group and individual activities, and develop better communication skills in the area of mathematics. Additional goals are for all students to develop mathematical problem solving skills; to make mathematical connections; and to develop “mathematical power” as a result of acquiring the ability to communicate and reason mathematically. (Adapted from NCTM Standards, South Carolina Mathematics Framework).
No Standard Grades(Pass/Fail Option)