Middle M/J Grade 7 Mathematics - Accelerated

Segment 1

• Solve problems by rewriting rational numbers in different but equivalent forms including fractions, mixed numbers, repeating decimals and percentages
• Define irrational numbers within the real number system and locate an approximate value of a numerical expression involving irrational numbers on a number line
• Plot, order and compare rational and irrational numbers, represented in various forms
• Apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions, limited to integer exponents and rational number bases, with procedural fluency
• Solve multi-step problems involving the order of operations with rational numbers including exponents and radicals
• Express numbers in scientific notation to represent and approximate very large or very small quantities
• Add, subtract, multiply and divide numbers expressed in scientific notation with procedural fluency
• Solve problems involving operations with numbers expressed in scientific notation
• Apply the Laws of Exponents to generate equivalent algebraic expressions, limited to integer exponents and monomial bases
• Apply properties of operations to multiply two linear expressions with rational coefficients
• Rewrite the sum of two algebraic expressions having a common monomial factor as a common factor multiplied by the sum of two algebraic expressions
• Write and solve two-step equations in one variable, where all terms are rational numbers
• Solve multi-step linear equations in one variable, with rational number coefficients, including equations with variables on both sides
• Determine the real solutions given an equation in the form of x² = p and x³ = q, where p is a whole number and q is an integer
• Solve two-step linear inequalities in one variable and represent solutions algebraically and graphically
• Apply the Pythagorean Theorem to solve problems involving unknown side lengths in right triangles
• Use the Triangle Inequality Theorem to determine if a triangle can be formed from a given set of sides
• Use the Pythagorean Theorem to determine if a right triangle can be formed from a given set of sides
• Apply the Pythagorean Theorem to solve problems involving the distance between two points in a coordinate plane
• Solve problems involving the relationships between supplementary, complementary, vertical or adjacent angles
• Solve problems involving the relationships of interior and exterior angles of a triangle
• Develop and use formulas for the sums of the interior angles of regular polygons by decomposing them into triangles
• 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

 

Segment 2

• Determine if a linear relationship is also a proportional relationship
• Determine slope given a table, graph or written description of a linear relationship
• Write an equation in slope-intercept form given a table, graph or written description of a linear relationship
• Determine and interpret the slope and y-intercept of a two-variable linear equation from a written description, a table, a graph or an equation in slope-intercept form
• Graph a two-variable linear equation from a written description, a table or an equation in slope-intercept form
• Given a system of two linear equations and a specified set of possible solutions, determine which ordered pairs satisfy the system of linear equations
• Given a system of two linear equations represented graphically on the same coordinate plane, determine whether there is one solution, no solution or infinitely many solutions
• Solve systems of two linear equations by graphing
• Given a set of ordered pairs, a table, a graph or mapping diagram, determine whether the relationship is a function.
• Identify the domain and range of the relation
• Analyze a written description or graphical representation of a functional relationship between two quantities and identify where the function is increasing, decreasing or constant
• Determine whether a function is a linear function given a graph, equation, or input-output table
• Construct a scatter plot or a line graph as appropriate for the context given a set of real-world bivariate numerical data
• Describe patterns of association given a scatter plot within a real-world context
• Informally fit a straight line given a scatter plot with a linear association
• Determine the sample space for a repeated experiment
• Find the theoretical probability of an event related to a repeated experiment
• Solve problems involving probabilities related to single or repeated experiments, including making predictions based on theoretical probability
• Construct, display and interpret data in circle graphs
• Choose and create an appropriate graphical representation given a real-world numerical or categorical data set
• 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
• Given a preimage and image generated by a single transformation, identify the transformation that describes the relationship
• Describe and apply the effect of a single transformation on two-dimensional figures using coordinates and the coordinate plane
• Given a preimage and image generated by a single dilation, identify the scale factor that describes the relationship
• Solve problems involving proportional relationships between similar triangles

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.