Middle School

# Middle School Math Topics

0.5 Credits
Open

This course provides a series of math topics for students to select from based on their needs. It can be used for math acceleration, remediation or to supplement existing curriculum. Each topic begins with a pre-assessment from which a personal learning path is developed for the student. Based on the pre-assessment, the learning path includes refreshers on concepts students may have forgotten and lessons on concepts the student has not yet mastered. The learning path does not require students to complete lessons on concepts the student has mastered. Completion time varies based upon competencies completed.

### Major Topics and Concepts

MS Math Foundation Topics:

• Whole numbers
• Fractions and Mixed Numbers
• Decimals
• Ratios, Rates, and Proportions
• Percents
• Real Numbers
• Solving Equations and Inequalities
• Graphing Linear Equations and Inequalities

### Course Materials

Students work with a certified VLACS math teacher throughout the course. The teacher coaches the student through the course by completing a Welcome Call at the beginning of the course, monitoring student progress, identifying areas of struggle, meeting regularly with the student, and completing monthly calls with the student and parent.

Students may work with their school to identify the set of topics that meet their needs. The groupings below are provided to aid in potential sets of topics, but students may select whatever topics meet their particular needs.

### Competencies

##### Whole Numbers

Students will demonstrate an understanding of whole numbers by naming, rounding, comparing, performing operations, utilizing properties and laws, evaluating exponents and square roots, and using order of operations to solve problems.

##### Fractions and Mixed Numbers

Students will demonstrate an understanding of fractions and mixed numbers by identifying parts of a fraction, converting between proper and improper fractions, simplifying, comparing, and performing operations with fractions and mixed numbers.

##### Decimals

Students will demonstrate an understanding of decimals and fractions by reading and writing numbers in decimal notation, converting between decimals and fractions, ordering and rounding decimals, performing operations with decimals (+, -, x, /), and estimating the solution to problems involving decimals.

##### Ratios, Rates and Proportions

Students will demonstrate an understanding of ratios, rates, and proportions by simplifying ratios and rates, finding unit rates and prices, evaluating the validity of proportions and solving problems using proportions.

##### Percents

Students will demonstrate an understanding of percents by describing the meaning of percents, converting between percents, decimals and fractions, and solving problems involving percents.

##### Real Numbers

Students will demonstrate an understanding of real numbers by evaluating expressions with multiple variables; defining, performing operations and solving problems with integers; defining, performing operations and solving problems with real numbers; identifying irrational numbers; identifying and using the commutative, associative and distributive properties; and solving problems using order of operations.

##### Solving Equations and Inequalities

Students will demonstrate an understanding of how to work with equations and inequalities by solving one and multi-step equations; solving equations that have one solution, no solution or an infinite number of solutions; evaluating and manipulating formulas; solving one and multi-step inequalities; solving compound inequalities; and solving equations and inequalities involving absolute values.

##### Graphing Linear Equations and Inequalities

Students will demonstrate an understanding of graphing linear equations and inequalities by finding the slop of a line graphically and through calculations; writing the equation of a line given various types of information; determining if lines are parallel and perpendicular based on slopes; and graphing linear equations and inequalities.