Middle M/J Grade 7 Mathematics

Segment 1

• Solve problems by rewriting rational numbers in different but equivalent forms including fractions, mixed numbers, repeating decimals, and percentages
• Apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions, limited to whole number exponents and rational number bases, with procedural fluency
• Add, subtract, multiply, and divide rational numbers
• Solve real-world problems involving any of the four operations with rational numbers
• Solve mathematical problems using multi-step order of operations with rational numbers including grouping symbols, whole-number exponents, and absolute value
• Apply properties of operations to add and subtract linear expressions with rational coefficients
• Determine whether two linear expressions are equivalent
• Write and solve one-step inequalities in one variable within a mathematical context and represent solutions algebraically or graphically
• Write and solve two-step equations in one variable, where all terms are rational numbers
• Determine whether two quantities have a proportional relationship by examining a table, graph, or written description
• Translate any representation of a proportional relationship to a written description, table, or equation
• Determine the constant of proportionality given a table, graph, or written description of a proportional relationship
• Graph proportional relationships from a table, equation, or a written description
• Solve problems involving proportional relationships
• Solve problems involving the conversion of units across different measurement systems
• Solve multi-step, real-world percent problems
• Apply ratios to solve real-world problems involving proportions

Segment 2

• Construct, display, and interpret data in circle graphs
• Choose and create an appropriate graphical representation given a real-world numerical or categorical data set
• Determine an appropriate measure of center or measure of variation to summarize numerical data, represented numerically or graphically, taking into consideration the context and any outliers
• Use the measure(s) of center and measure(s) of variability to make comparisons, interpret results, and draw conclusions about two populations given two numerical or graphical representations of data
• Use proportional relationships to make predictions about a population given categorical data from a random sample
• Solve problems involving dimensions and areas of geometric figures, including scale drawings and scale factors
• Apply a formula for the circumference of a circle to solve problems
• Apply a formula to find the area of a circle to solve problems
• Find the surface area of a right circular cylinder using the figure’s net
• Solve problems involving surface area of right circular cylinders
• Solve problems involving volume of right circular cylinders
• Apply formulas to find the areas of trapezoids, parallelograms, and rhombi
• Solve mathematical or real-world problems involving the area of polygons or composite figures by decomposing them into triangles or quadrilaterals
• Determine the sample space for a simple experiment
• Find the theoretical probability of an event related to a simple experiment
• Interpret the likelihood of a chance event occurring and compare the probabilities of chance events
• Find experimental probabilities and compare them to theoretical probabilities

Besides engaging students in challenging curriculum, the course guides students to reflect on their learning and evaluate their progress through a variety of assessments. Assessments can be in the form of practice lessons, multiple choice questions, writing assignments, projects, research papers, oral assessments, and discussions. This course will use the state-approved grading scale. Each course contains a mandatory final exam or culminating project that will be weighted at 20% of the student’s overall grade.***

***Proctored exams can be requested by FLVS at any time and for any reason in an effort to ensure academic integrity. When taking the exam to assess a student’s integrity, the exam must be passed with at least a 59.5% in order to earn credit for the course. 

To achieve success, students are expected to submit work in each course weekly. Students can learn at their own pace; however, “any pace” still means that students must make progress in the course every week. To measure learning, students complete self-checks, practice lessons, multiple choice questions, projects, discussion-based assessments, and discussions. Students are expected to maintain regular contact with teachers; the minimum requirement is monthly. When teachers, students, and parents work together, students are successful.