ccss content standards g.co.1 know precise definitions of angle, circle, perpendicular line,...
TRANSCRIPT
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.
You graphed points on the coordinate plane.
• Find the distance between two points.
• Find the midpoint of a segment.
• distance
• irrational number
• midpoint
• segment bisector
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
Use the number line to find AX.
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
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)
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.
Find Distance on a Coordinate Plane
.
Find the distance between A(–3, 4) and M(1, 2) using the distance formula.
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
Find Midpoint in Coordinate Plane
Answer: M(–3, 3)
Class Assignment - 8 minutes
Distance and Midpoint Skills Packet
Do 4, 5 and 8 (Find the midpoint only)
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)
Find the Coordinates of an Endpoint
Answer: The coordinates of D are (–7, 11).
Midpoint Formula
Midpoint Formula
5 minutes
Skills Packet
Do 9 and 10
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.
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
Original measure
Use Algebra to Find Measures
• Constructions p. 30 ‘Bisect a Segment
• HW Skills Packet 1-7, 12-16 all