McGraw-Hill South Carolina Reveal Math Course 2
ALEKS (Software)
The emphasis in this standards-based seventh-grade course is on algebraic thinking and on extending the understanding of the real number system to include integers, rational numbers, and irrational numbers. Students will investigate applications of number theory and will acquire skills in adding, subtracting, multiplying, and dividing integers. Students will solve applied problems by using one-step equations and inequalities, percents, and proportional reasoning. Students will develop algebraic thinking by analyzing patterns to discover relationships, by representing information through symbolic, graphical, and tabular methods, and by identifying relationships that are linear. Throughout the course there is an emphasis on the SCCCR mathematical process standards of problem-solving, communication, reasoning, representations, and connections.
Gap Work: Integers
In this unit, students will develop a deep understanding of how to perform all four operations—addition, subtraction, multiplication, and division—with integers and rational numbers. Through structured lessons and real-world problem-solving, students will explore patterns, properties, and relationships between numbers, laying a strong foundation for algebraic thinking.
Unit 2: Solve Problems Involving Geometry
In Unit 2, students will develop their understanding of geometric relationships and measurement. They will learn how to determine actual measurements from scale drawings and explore the specific conditions that result in the formation of a unique triangle. Students will apply their knowledge of angle relationships—such as complementary, supplementary, vertical, and adjacent angles—to find unknown angle measures. The unit also focuses on three-dimensional geometry, where students will calculate the surface area and volume of right prisms and right pyramids. Additionally, students will solve problems involving the circumference and area of circles, deepening their ability to apply formulas in real-world and mathematical contexts.
Unit 3: Proportional Relationships
Unit 3 focuses on proportional relationships, teaching students to represent these relationships using tables, graphs, and equations. Students will learn to determine the constant of proportionality and apply proportional reasoning to solve both single-step and multi-step problems. The unit also emphasizes recognizing graphs of proportional relationships and introduces the concept of slope, helping students understand the unit rate informally as a measure of the line's steepness. Additionally, students will develop the critical skill of distinguishing proportional relationships from other types of relationships. This comprehensive approach ensures students gain a thorough understanding of proportional relationships and their applications in various mathematical contexts.
Unit 4: Solve Problems Involving Percentages
This unit develops students’ understanding of percents as proportional relationships and equips them with tools to solve a wide range of real-world and mathematical percent problems. Students will explore how the percent equation represents a proportion and use it to find the part, whole, or percent. The unit emphasizes problem-solving strategies and conceptual understanding through applications such as percent increase and decrease, markups and markdowns, interest, tax, tip, commission, discount, and percent error.
Unit 5: Sampling and Statistics
Unit 5 focuses on data analysis and statistics, teaching students to represent and interpret data using various measures and visual tools. Students will learn to calculate and apply measures of central tendency (mean, median, and mode) and measures of variability (range, interquartile range, and mean absolute deviation). The unit emphasizes creating and interpreting visual representations of data, including stem-and-leaf plots and histograms. Students will develop the critical skill of choosing appropriate statistical measures and graphical representations for different types of data sets. Additionally, students will learn to analyze data distributions and draw meaningful conclusions from their analyses. This comprehensive approach ensures students gain a thorough understanding of basic statistical concepts and their applications in various real-world contexts.
Unit 6: Solve Problems Involving Operations with Integers and Rational Numbers
In this unit, students will deepen their understanding of rational numbers, their decimal representations, and the properties of exponents. They will learn to convert fractions into decimals and determine whether they are terminating or nonterminating, as well as apply the four operations (addition, subtraction, multiplication, and division) to all rational numbers. The unit will then expand into exponential properties including zero and negative exponents, product and quotient of powers, and power of a power rules. Finally, students will apply their knowledge of coordinate geometry to find distances between points, and calculate the perimeter and area of polygons using ordered pairs on the coordinate plane.
Unit 7: Work with Linear Expressions
Unit 7 focuses on algebraic expressions, teaching students to simplify, factor, and apply the distributive property to rewrite and solve expressions. Students will learn to factor common terms (using the GCF) and use multiple strategies to break down expressions into products of factors. The unit emphasizes understanding how to manipulate expressions to prepare for solving equations and inequalities in future units. Students will develop the critical skill of recognizing equivalent expressions and applying properties of operations to simplify and factor expressions accurately. This comprehensive approach ensures students gain a thorough understanding of expressions, combining like terms, distributing, and factoring and build a strong foundation for advanced algebraic concepts such as equations and inequalities.
Unit 8: Solve Problems Using Equations and Inequalities
In this unit, students will learn how to represent real-world and mathematical situations using algebraic expressions, equations, and inequalities. They will develop strategies to evaluate and simplify expressions and solve multi-step equations and inequalities that include rational numbers. Students will explore how these algebraic tools can help describe patterns, solve problems, and make decisions in everyday life.
Unit 9: Probability
Unit 9 begins with dimensional analysis (Unit 8 Lesson 7), teaching students how to perform unit conversions using conversion factors. It then transitions into probability, exploring simple probability for single events, compound probability for multiple events, and the concept of sample space - the set of all possible outcomes in a probability experiment. Students will learn to calculate probabilities, understand probability rules, and apply these concepts to real-world scenarios. The unit aims to develop students' analytical skills through various problem-solving exercises, connecting mathematical theory to practical applications.
Tentative Course Pacing and Sequence:
Quarter 1:
Gap work- Integers
Unit 2- Solve Problems Involving Geometry
Unit 3- Proportional Relationships
Quarter 2:
Unit 4- Solving Problems Involving Percentages
Unit 5- Sampling and Statistics
Quarter 3:
Unit 6- Solve Problems Involving Operations with Integers and Rational Numbers
Unit 7- Work with Linear Expressions
Quarter 4:
Unit 8- Solve Problems Using Equations and Inequalities
Unit 9- Probability
Classroom Late Work and Redo/Retake Policies
Late Work
Greenville County Schools is committed to Building a Better Graduate by creating college and career ready students. As such, students must develop character traits that align with workplace expectations. Some examples of these include responsibility, strong work ethic, and self-direction. Students are expected to give their best effort when completing assignments and should strive to complete them by the due date. Students are expected to turn in ALL assignments and should never have a Not Handed In (NHI) recorded in the grade book. Extra opportunities are available for students to make up work through ROAR, tutoring times, and at other times designated by the teacher. Teachers will accept late work with no penalty to the student up to 5 days after the original due date or the end of the grading period, whichever comes first.
Retake/Redo/Revise Expectations
Since the goal is for students to master content and skills, students will be allowed to retake/redo major tests with a grade of 79 or lower only; however, students must commit to doing their part in preparing for the re-test. Students must initiate the request to retake/redo a test within 5 days of receiving the grade on the test. Students are allowed to retake/redo a major test one time. The student must complete a BRMS Request to Retest form, which can be found in the teacher’s Google classroom, and submit the form to the teacher. The form must be signed by the parent and student prior to being submitted. Following a re-test, the higher grade will be recorded in the grade book.
Make-up Work Policies: It is the responsibility of each student to inquire about make-up work upon returning from an absence. Students must also check google classroom for classwork and homework information for any days missed.
**Student Backpack is an essential tool for accessing grades. Google Classroom will be your greatest asset for staying up to date.
Classroom Guidelines and Expectations
School Expectations
We are BR...hear us…
Respect
Organization
Attitude
Responsibility
Materials Needed:
Grades
Homework
Grading Scale
Planned Products
Optional: TI-30XIIS Scientific Calculator
3-4 majors
8-10 minors per quarter.
Homework assigned as needed. ALEKS will primarily be used.
90-100 A
80-89 B
70-79 C
60-69 D