Unit 5
Unit 5: Students will use the concepts of distance, midpoint, and slope to verify algebraically geometric relationships of figures in the coordinate plane (triangles, quadrilaterals, and circles). Students will solve problems involving parallel and perpendicular lines, perimeters and areas of polygons, and the partitioning of a segment in a given ratio. Students will derive the equation of a circle and model real-world objects using geometric shapes and concepts.
Coordinate proofs…. we have talked about proofs before, but this is a little different…
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You are going to model/copy some coordinate proofs from mathbits!
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Circles - what you might know & what you will learn!
IXL general to standard form practice
Write equation in standard form given circle properties
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Standard form to General (Conic) form of a circle
IXL circles practice
Paul’s online try #1-5 (and check your work)
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Complete the square
Review of distance & midpoint formula
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Complete the square video for circles. start at 3:34 seconds
Try to write the equation in standard form! So, you can identify the center and the radius.
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Khan video inside, outside, or on a circle
Practice with Desmos on parallel & perpendicular lines
Linear graphs, slope, parallel and perpendicular lines,etc.
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Khan’s 4 inside, outside, on a circle problems
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Hello! Remember me - the several ways to write equations of line!
Midpoint, distance, perimeter, area, parallel, perpendicular slope practice
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Using Midpt, Distance, Parallel & Perpendicular lines, Circles eqns
Paul's online notes
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Paul's online notes
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Kahn video on line partitioning
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Distance, midpoint, slope, parallel and perpendicular line
Partitioning (dividing) lines
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What is density?
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Calculating density….
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Reach a smartscore of 90 or >!
Coordinate geometry for triangles and quadrilaterals
Complete 5 ixls on your paper…show your mathematical calculations which support your work.
Density explained!
Geometry density video, start at 1:20
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Density (not specific gravity)
The important concept of density!
IXL – modeling and design
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