Unit 8: Connecting Algebra
& Geometry
Lesson Video
Focus Standards
Learning Focus
Additional Resources
Lesson 1: Go the Distance
A Develop Understanding Task
Develops the distance formula conceptually using the Pythagorean theorem. Develops a strategy for finding the perimeter of geometric shapes on a coordinate plane.
NC.M1.G-GPE.4
Find the distance between two points in the coordinate plane.
Find the perimeter of a geometric figure in the coordinate plane.
How can I find the distance between two points if they’re not on vertical or horizontal lines?
Lesson 2: Yard Work in Segments
A Solidify Understanding Task
Solidifies understanding of similar and congruent triangles by using them to find the midpoint or any point on a line segment that partitions the segment into a given ratio. Derives the formula for finding the midpoint of a segment.
NC.M1.G-GPE.6
Locate the midpoint of a segment and a point that divides the segment in a given ratio.
How do I locate the midpoint of a segment given just the coordinates of its endpoints?
How do I divide a line segment drawn on a grid into proportional parts?
Lesson 3: Make It Right
A Solidify Understanding Task
Develops a justification of the slope criteria for parallel and perpendicular lines.
NC.M1.G-GPE.5
Recognize parallel and perpendicular lines in a coordinate plane.
Write the equation of a line parallel or perpendicular to a given line through a given point.
How can I determine if two lines in a coordinate plane are parallel or perpendicular? Is visual examination (that is, “It looks like it is”) sufficient?
Lesson 4: Prove It Right
A Practice Understanding Task
Practices using coordinates, distance, and slope to identify and justify characteristics of triangles and quadrilaterals algebraically.
Prove quadrilaterals are parallelograms, rectangles, rhombi, or squares using coordinates.
Find the perimeter and area of a quadrilateral on the coordinate plane.
How do I use algebra to show that a quadrilateral is a parallelogram, a rectangle, a rhombus, or a square?