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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
Geometric Measurement and Angle Relationships
Unit Number
4
Course
Math 7
Content Area
Math
Description
Students will find the circumference and area of circles and solve problems involving surface area and volume of prisms, pyramids and cylinders.  They will set up and solve equations to find the measure of angles in diagrams and shapes.
Timeline
6 Week(s)
Enduring Understandings
Spatial sense and geometric relationships are a means to solve problems and make sense of a variety of phenomena.
Measurement is a tool to quantify a variety of phenomena.
Geometric relationships provide a means to make sense of a variety of phenomena.



Essential Questions
How is pi derived?
How can you find the circumference of a circle?
How can you find the area of a circle?
How can you find the surface area and volume of a prism, pyramid and cylinder?
What can you conclude about the angles formed by two intersecting lines?
How can you classify two angles as complementary or supplementary?






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.
  
  
Standard
Standard Component
  
Use angle properties to write and solve equations for an unknown angle.
ECO
  
Understand concepts of circles
a. Analyze the relationship in a circle among the circumference, the radius, the diameter, the area and π.
b. Know and apply the formulas for circumference and area of circles to solve problems.
ECO
  
Understand the relationship between area, surface area and volume.
a. Find area of triangles, quadrilaterals, and other polygons composed of triangles and rectangles.
b. Find the volume and surface area of prisms, pyramids, and cylinders.