Curriculum Map

Course Title:Pre-Algebra 7 Grade: 7

Unit (Name/Number):Geometry / Pacing:16 – 21 days
Unit Essential Question(s):How do you draw, construct and describe geometrical figures and describe the relationships between them?
LEQ: How do you find the area of parallelograms and rectangles?
LEQ: How do you find the area of a triangle?
LEQ: How do you find the area of trapezoids?
LEQ: How do you solve problems involving area and circumference of a circle?
LEQ: How do you find the area of composite or irregular figures?
LEQ: How do you find the measure of an unknown angle in a figure using properties of supplementary, complementary and adjacent angles?
LEQ: What are the angles formed when a transversal cuts parallel lines? How are the properties of interior, exterior and corresponding angles used to find missing angle measures?
LEQ: How do you write a congruence statement and show what sides are congruent in congruent figures?
LEQ: What measures determine the uniqueness of a triangle?
LEQ: How would you describe three-dimensional figures from the two-dimensional figures they include on their surfaces?
LEQ: How do you find the area, volume and surface area of two- and three-dimensional figures?
LEQ: How do you find the surface area of three-dimensional figures?
LEQ: How do you describe the two-dimensional figure that results from slicing three-dimensional figures?
Content/Key Concepts / Standards / Key Vocabulary / Learning Activities/Resources / Evidence of Learning
(Assessments;Performance Tasks)
Solve problems involving scale drawings of geometric figures, including finding length and area.
(Concept also listed within the Ratios & Proportional Reasoning Map) / M07.C-G.1.1.1 /
  • Scale
  • Similar figures
/ Textbook
Worksheets
Study Island
PSSA released items / Class work/Homework
Quiz
Identify or describe the properties of all types of triangles based on angle and side measures / M07.C-G.1.1.2 /
  • equilateral triangle
  • isosceles triangle
  • scalene triangle
  • acute triangle
  • obtuse triangle
  • right triangle
  • unique triangle
  • Triangle Sum Theorem
  • Triangle Inequality Theorem
/ Worksheets
MobyMax
Study Island
Khan Academy / Classroom Performance/Homework
Quiz
Use and apply the triangle inequality theorem / M07.C-G.1.1.3 /
  • Triangle Inequality Theorem
/ Worksheets
MobyMax
Study Island
Khan Academy / Classroom Performance/Homework
Quiz
Describe the two-dimensional figures that result from slicing three-dimensional figures / M07.C-G.1.1.4 /
  • prisms
  • pyramids
  • plane
  • cross-section
  • parallel
  • perpendicular
  • vertical
  • horizontal
  • congruent
  • similar
/ Textbook
Worksheets
MobyMax
Khan Academy
Study Island / Classroom Performance/Homework
Identify and use properties of supplementary, complementary and adjacent angles in a multistep problem to write and solve simple equations for an unknown angle in a figure / M07.C-G.2.1.1 /
  • angle
  • supplementary angles
  • complementary angles
  • adjacent angles
  • acute angle
  • obtuse angle
  • right angle
  • straight angle
  • congruent angles
  • vertical angles
/ Warm-Ups
Individual Whiteboard Activities
Textbook
Worksheets
Study Island
Khan Academy / Classroom Performance/Homework
Quiz
Identify and use properties of angles formed when two parallel lines are cut by a transversal. / M07.C-G.2.1.2 /
  • parallel lines
  • transversal
  • alternate interior angles
  • alternate exterior angles
  • vertical angles
  • corresponding angles
/ Plastic Sleeve Activities
Textbook
Worksheets
Study Island / Classroom Performance/Homework
Quiz
Find the area and circumference of a circle. Solve problems involving area and circumference of acircle. / M07.C-G.2.2.1 /
  • area
  • circumference
  • radius
  • diameter
  • pi
  • center
/ Formula Sheet
Textbook
Worksheets
Hula Hoops
MobyMax
Study Island
PSSA released items
Discovering pi in a circle
Song about Circles / Classroom Performance/Homework
Quiz
Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms / M07.C-G.2.2.2 /
  • area
  • volume
  • surface area
  • cubic unit
  • square unit
  • net
  • base
  • edge
  • face
  • height
  • cube
  • vertex
/ Formula Sheet
Textbook
Worksheets
MobyMax
Study Island
Khan Academy
PSSA released items / Classroom Performance/Homework
Quiz

Math Practice Standards:

1- Make sense of problems and persevere in solving them5- Use appropriate tools strategically

2- Reason abstractly and quantitatively 6- Attend to precision

3- Construct viable arguments and critique the reasoning of others7- Look for and make use of structure

4- Model with mathematics 8- Look for and express regularity in repeated reasoning