HSG-GPE.B.4
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- HSG-GPE.B.4Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2).
- HSG-GPE.B.5Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
- HSG-GPE.B.6Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
- HSG-GPE.B.7Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.*
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HSG-GPE.B.7
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- HSG-GPE.B.4Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2).
- HSG-GPE.B.5Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
- HSG-GPE.B.6Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
- HSG-GPE.B.7Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.*
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HSG-GPE.B.7
Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.*
10 Lesson(s)
Tools of Geometry Unit Assessment
Geometry »
Unit: Tools of Geometry
Geometry »
Unit: Tools of Geometry
Big Idea:
Test time! Students take the first unit assessment, aligned to the Common Core standards for this unit.
Standards:
Favorites
(8)
Resources
(13)
Finding the Distance or the Midpoint of a Line Segment on the Coordinate Plane
Algebra I »
Unit: Radical Expressions, Equations, and Rational Exponents
Algebra I »
Unit: Radical Expressions, Equations, and Rational Exponents
Big Idea:
This lesson gains student interest using a Carnival Map and dives deeper using the Math Practices One, Two, and Four.
Standards:
Favorites
(17)
Resources
(9)
Coordinate Geometry Unit Review and Test
Geometry »
Unit: Coordinate Geometry
Geometry »
Unit: Coordinate Geometry
Big Idea:
Test time! Students review and then take the unit assessment, hopefully demonstrating their knowledge of coordinate geometry, as well as their ability to organize and justify their work.
Standards:
Favorites
(5)
Resources
(14)
More Practice with Coordinate Geometry
Geometry »
Unit: Coordinate Geometry
Geometry »
Unit: Coordinate Geometry
Big Idea:
Students put their coordinate geometry knowledge to work, investigating characteristics of geometric figures and proving hypotheses.
Standards:
Favorites
(6)
Resources
(9)
Big Idea:
This is a comprehensive assessment of all content learned to date.
Standards:
Favorites
(1)
Resources
(12)
Reflections
(1)
Distance in Geometry
Geometry »
Unit: The Pythagorean Theorem
Geometry »
Unit: The Pythagorean Theorem
Big Idea:
Understanding why the distance formula works with respect to the "change in x or y," enables students to solve novel problems requiring the measurement of distance.
Standards:
Favorites
(4)
Resources
(14)
Reflections
(1)
Finding Perimeter and Area in the Coordinate Plane
Geometry »
Unit: Geometry Foundations
Geometry »
Unit: Geometry Foundations
Big Idea:
It's Gridlock. Trapped inside the coordinate plane, armed only with coordinate pairs and formulas, students must find perimeters and areas of triangles and rectangles.
Standards:
Favorites
(3)
Resources
(9)
Reflections
(1)
Distances in the Coordinate Plane
Geometry »
Unit: Geometry Foundations
Geometry »
Unit: Geometry Foundations
Big Idea:
May the formula be with you. In this lesson students wield the power of the distance formula.
Standards:
Favorites
(35)
Resources
(15)
Reflections
(1)
End of Year Assessment Review Day 3 of 4
Geometry »
Unit: Final Assessment
Geometry »
Unit: Final Assessment
Big Idea:
In this lesson, students practice problems involving concepts from the units on similarity, trigonometry and coordinate geometry.
Resources
(11)
Reflections
(1)
Proving Area Formulas for Parallelograms, Triangles and Rhombuses
Geometry »
Unit: Areas of Plane Figures
Geometry »
Unit: Areas of Plane Figures
Big Idea:
Look deep within...and see a figure whose area formula we've already proven.
Standards:
Resources
(21)
Reflections
(1)
Common Core Math
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
HS Number & Quantity
HS Algebra
HS Functions
HS Geometry
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
Eighth Grade
Ninth and Tenth Grade
Kindergarten
First grade
Second grade
Third Grade
Fourth grade
Fifth grade
Middle School
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
HS Number & Quantity
HS Algebra
HS Functions
HS Geometry
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
Eighth Grade
Ninth and Tenth Grade
Kindergarten
First grade
Second grade
Third Grade
Fourth grade
Fifth grade
Middle School
