ccss content standards g.co.1 know precise definitions of angle, circle, perpendicular line,...
TRANSCRIPT
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Content Standards
G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).
Mathematical Practices
2 Reason abstractly and quantitatively.
7 Look for and make use of structure.
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You graphed points on the coordinate plane.
• Find the distance between two points.
• Find the midpoint of a segment.
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• distance
• irrational number
• midpoint
• segment bisector
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Find Distance on a Number Line
Use the number line to find QR.
The coordinates of Q and R are –6 and –3.
QR = | –6 – (–3) | Distance Formula
= | –3 | or 3 Simplify.
Answer: 3
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Use the number line to find AX.
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Switching both coordinates in the formula will give the same result for the distance. See below.
2 21 2 1 2( ) ( )d x x y y
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Find Distance on a Coordinate Plane
Find the distance between E(–4, 1) and F(3, –1).
(x1, y1) = (–4, 1) and (x2, y2) = (3, –1)
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Find Distance on a Coordinate Plane
Check Graph the ordered pairs and check by using the Pythagorean Theorem.
Draw a sketch of this graph on your paper.
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Find Distance on a Coordinate Plane
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Find the distance between A(–3, 4) and M(1, 2) using the distance formula.
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Chapter 1 Overview Video
Distance and Midpoint Skills Packet
Do 7 and 8 (find the distance only)
Now let’s do the Reach test questions 1-3
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Find Midpoint in Coordinate Plane
Answer: M(–3, 3)
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Class Assignment - 8 minutes
Distance and Midpoint Skills Packet
Do 4, 5 and 8 (Find the midpoint only)
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Find the Coordinates of an Endpoint
Write two equations to find the coordinates of D.
Let D be (x1, y1) and F be (x2, y2) in the Midpoint Formula.
(x2, y2) = (–5, –3)
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Find the Coordinates of an Endpoint
Answer: The coordinates of D are (–7, 11).
Midpoint Formula
Midpoint Formula
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5 minutes
Skills Packet
Do 9 and 10
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Use Algebra to Find Measures
Understand You know that Q is the midpoint of PR, and the figure gives algebraic measures for QR and PR. You are asked to find the measure of PR.
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Use Algebra to Find Measures
Use this equation and the algebraic measures to find a value for x.
Solve
Subtract 1 from each side.
Plan Because Q is the midpoint, you know
that
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Original measure
Use Algebra to Find Measures
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• Constructions p. 30 ‘Bisect a Segment
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• HW Skills Packet 1-7, 12-16 all