Unit Details

​​​​​​​​​​​​​​​​​​​​​​​​Instructions: Rockwood unit details share the timeline, the enduring understanding and the essential questions for each unit.  Click on the standard title to be directed to the information on related standards for the unit.​

 Unit Details

  • Unit Title
    Angle Relationships
    Unit Number
    2
    Course
    Integrated Math 7/8
    Content Area
    Math
    Description
    Students will classify and determine the measures of angles created when parallel lines that are cut by a transversal and set up and solve equations to find the measure of angles in diagrams and shapes.  They will use similar triangles to solve problems that include height and distance.
    Timeline
    2 Week(s)
    Enduring Understandings
    Geometric properties can be used to construct geometric figures.
    Geometric relationships provide a means to make sense of a variety of phenomena.


    Essential Questions
    How can you classify two angles as complementary or supplementary?
    How can you describe angles formed by parallel lines and transversals?
    How can you describe the relationship among the angles of a triangle?
    How can you find the sum of the interior angle measures and the sum of the exterior angle measure of a polygon?
    How can you use angles to tell whether triangles are similar?





    Additional Unit Resources

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Standard
Standard Component
ECO
  
Write and/or solve linear equations and inequalities in one variable.
a. Write and/or solve equations of the form x+ p=q and px=q in which p and q are rational numbers.
b. Write and solve two-step equations of the form px+q=r and p(x+q)=r, where p, q, and r are rational numbers and interpret the meaning of the solution in the context of the problem.
c. Write, solve and/or graph inequalities of the form px+q>r or px+q<r, where p ,q and r are rational numbers.
ECO
  
Solve linear equations and inequalities in one variable.
a. Create and identify linear equations with one solution, infinitely many solutions, or no solutions.
b. Solve linear equations and inequalities with rational number coefficients, including equations and inequalities whose solutions require expanding expressions using the distributive property and combining like terms.
  
  
Standard
Standard Component
  
Use angle properties to write and solve equations for an unknown angle.
ECO
  
Explore angle relationships and establish informal arguments.
a. Derive the sum of the angles in a triangle
b. Explore the relationship between the interior and exterior angles of a triangle.
c. Construct and explore the angles created when parallel lines are cut by a transversal.
d. Use the properties of similar figures to solve problems.