Middle School Middle School Accelerated Mathematics Grade 7

License Model
FlexPoint or School/District Hosted

Number of Credits
1.0

Estimated Completion Time
3236 weeks
Suggested Prerequisites
Middle School Grade 6 MathematicsDescription
Have you ever wondered, “When will I use this in real life?” 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 handson activities and interactive lessons, you will have the opportunity to apply what you learn in relevant ways. Major topics of this course include how to represent numbers in scientific notation, create algebraic expressions using the Laws of Exponents, and solve linear equations, inequalities and systems of linear equations. You will also learn to apply the Pythagorean Theorem, explore the idea of a function, and model linear relationships to help prepare you for the next level of learning.Module One: Numerical Expressions
Represent rational numbers in different but equivalent forms
Define irrational numbers within the real number system
Plot rational and irrational numbers on a number line
Order and compare rational and irrational numbers
Apply the Laws of Exponents to evaluate expressions
Apply the Laws of Exponents to generate equivalent expressions
Apply the order of operations with rational numbers
Express numbers in scientific notation
Perform operations with numbers in scientific notation
Solve problems with numbers in scientific notation
Module Two: Algebraic Equations and Inequalities
Apply the Laws of Exponents to generate equivalent expressions
Multiply two linear expressions with rational coefficients
Rewrite expressions using the distributive property
Write and solve twostep equations in one variable
Solve multistep linear equations in one variable
Solve equations using square and cube roots
Solve twostep linear inequalities in one variable
Graph solutions to linear inequalities in one variable
Module Three: Angles and Triangles
Apply the Pythagorean Theorem to right triangles
Apply the Pythagorean Theorem to calculate distance
Use the Triangle Inequality Theorem to solve problems
Solve problems involving the relationships between special angles
Find the sum of interior angles of regular polygons
Decompose regular polygons into triangles
Module Four: Proportional Relationships
Determine whether two quantities have a proportional relationship
Convert between forms of proportional relationships
Determine the constant of proportionality
Graph proportional relationships from different representations
Solve problems involving proportional relationships
Solve problems involving the conversion of units
Module Five: Linear Equations
Compare linear and proportional relationships
Determine slope of a linear relationship
Write an equation of a linear relationship
Graph a twovariable linear equation
Determine whether ordered pairs satisfy a linear system
Determine the number of solutions to a linear system
Solve systems of linear equations by graphing
Module Six: Statistics and Probability
Determine whether a function is a linear function
Identify key features of a function
Construct scatter plots or line graphs as appropriate
Describe patterns of association given a scatter plot
Sketch a line of fit on a scatter plot
Determine the sample space for a repeated experiment
Calculate theoretical probability for a repeated experiment
Solve problems involving probabilities for experiments
Construct, display and interpret data in circle graphs
Choose and create an appropriate graph for data
Module Seven: Geometry
Find the scale factor for geometric figures
Solve problems involving scale factor of geometric figures
Calculate the circumference of a circle
Calculate the area of a circle
Solve problems involving circumference of circles
Solve problems involving area of circles
Find the surface area of a cylinder
Find the volume of a cylinder
Solve problems involving surface area of cylinders
Solve problems involving volume of cylinders
Module Eight: Transformations
Identify the type of transformation
Describe the effect of a single transformation
Apply the effect of a single transformation
Transform figures using a coordinate plane
Identify the scale factor that describes a dilation
Solve problems involving similar triangles