Middle M/J Grade 7 Mathematics - Accelerated
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Number of Credits
1
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Estimated Completion Time
2 Semesters
Description
Have you ever wondered, “When will I use this in real life?” Grade 7 Accelerated Mathematics has great news! There are hundreds of ways that math is used in the real world, and this course is designed to help you think critically as you explore a few of those applications. With hands-on activities and interactive lessons, students will have the opportunity to apply what they learn in relevant ways. Key foundational concepts like exponent laws, scientific notation, and the Pythagorean Theorem will help prepare students for the next level of learning.
Instructional time for Grade 7 Accelerated Mathematics will emphasize six areas:
- representing numbers in scientific notation and extending the set of numbers to the system of real numbers, which includes irrational numbers
- generate equivalent numeric and algebraic expressions including using the Laws of Exponents
- creating and reasoning about linear relationships including modeling an association in bivariate data with a linear equation
- solving linear equations, inequalities and systems of linear equations
- developing an understanding of the concept of a function
- analyzing two-dimensional figures, particularly triangles, using distance, angle and applying the Pythagorean Theorem
Access the link below to view the standards from the Florida Department of Education:
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.
Courses subject to availability.
Pursuant to s. 1002.20, F.S.; A public school student whose parent makes written request to the school principal shall be exempted from the teaching of reproductive health or any disease, including HIV/AIDS, in accordance with the provisions of s. 1003.42(3). Learn more about the process and which courses contain subject matter where an exemption request can be made.
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