Download Title: Finding the midpoint of a number line segment

Geometry Opener(s) 10/7
10/7
It’s Bald and Free Day, National Frappe Day, Walk
to School Day, World Cerebral Palsy Day,
Pumpkin Day and National Flower (Rose) Day!!!
Happy Birthday Joe Hill, Niels Bohr, Desmond
Tutu, Oliver North, John Mellencamp, Mary
Badham, Yo-Yo Ma, Simon Cowell, Dan Savage,
Toni Braxton, Thom Yorke and Taylor Hicks!!!
10/7
TODAY’S OPENER
1.
2.
3.
4.
Read the situation below.
Draw a segment.
Label it with the 3 given points.
Place one of the 3 given algebraic
expressions or numbers above the
associated segment piece.
5. Set up an algebraic equation.
6. Solve for the variable.
Find the value of the variable and ST if S is
between R and T. RS = 4y – 1, ST = 2y – 1,
RT = 5y.
Agenda
1. Opener (5)
2. Blob Demo (2)
3. Math Talk (10)
4. Pair Work 1: Reading a Standard/Metric Ruler (10)
5. Pair Work 2: Converting Measurements (5)
6. Pairs Share (5)
7. Student Conversion Demo (3)
8. Disc./Notes: Calculating Distances (10)
9. Ind. Work: Plotting on the Coordinate Plane (10)
10. HW Assignment: Calculating Distances (10)
11. Quiz (20)
Essential Question(s)
 How do I (HDI) name and label geometric figures?
 HDI determine the dimensions of an object?
 HDI calculate straight and diagonal distances
formulaically?
Objective(s)
 Students will be able to (SWBAT) correlate antiblobbiness with geometry.
 SWBAT use appropriate notation to name figures.
 SWBAT measure common objects in centimeters.
 SWBAT measure common objects in inches.
 SWBAT convert from metric to English and vice
versa.
 SWBAT identify metric and English units on a ruler.
 SWBAT plot points on the coordinate plane.
 SWBAT calculate number line distances.
 SWBAT calculate coordinate plane distances.


If ST is a distance in inches, convert it to
cm.
If ST is a distance in cm, convert it to
inches.
The Last Opener
1.
2.
3.
4.
Read the situation below.
Draw a segment.
Label it with the 3 given points.
Place one of the 3 given algebraic expressions or
numbers above the associated segment piece.
5. Set up an algebraic equation.
6. Solve for the variable.
Standard(s) and Practice(s)
 CCSS-M-G-CO.A.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.
 CCSS-M-G-MG.A.3: Apply geometric methods
to solve design problems.
 MP5: Use appropriate tools strategically.
 MP6: Attend to precision.
Exit Pass
Use the figure to the right to answer the following
questions:
Using proper notation, name a:
1. non-collinear point.
2. line.
3. plane.
To your drawing, add a:
1. non-coplanar point M.
2. non-coplanar ray ⃗⃗⃗⃗
LX.
3. point collinear to L and H.
The Last Exit Pass
HOMEWORK
Calculate horizontal and vertical distances in your
coordinate plane kanji.
Extra Credit
Period 1
Rudolfo V. (1x)
Tito G. (7x)
Ashley P. (9x)
Erika G. (11x)
Joshua M. (13x)
Jacob D. (1x)
Christian R. (1x)
Karyme E. (4x)
Beatriz F. (4x)
Crispin G. (2x)
Matt B. (3x)
Frankie R. (9x)
Leslie G. (5x)
Randy R. (3x)
Natalia G. (2x)
Yesenia R. (3x)
Jose M. (1x)
Adrian R. (1x)
David D. (1x)
Alex H. (1x)
Period 3
David H. (16x)
Carlos H. (12x)
Jordan E. (8x)
Adrian S. (1x)
Aaron A. (7x)
Daisy R. (5x)
Alexandra V. (4x)
Juan Z. (11x)
Kevin G. (5x)
Irvin M. (1x)
Crystal G. (1x)
Omar M. (5x)
Jesse D. (1x)
Citlali A. (8x)
Rosalinda E. (8x)
Jocelyn A. (3x)
Fabian C. (5x)
Ramzeys M. (1x)
Fernanda O. (2x)
Abraham C. (1x)
Jocelyn P. (1x)
Mario R. (1x)
Period 5
Entire Class (1x)
Angie A. (9x)
Mauro (3x)
Lily G. (7x)
Yazmin D. (3x)
Krishna A. (5x)
Kathy M. (2x)
Erika C. (4x)
Citlali L. (4x)
Aylin P. (5x)
Esther H. (2x)
Viviana A. (3x)
Arlene V. (1x)
Jeda H. (2x)
Jose J. (1x)
Bryan M. (2x)
Juan S. (1x)
Carmen V. (1x)
Danielle M. (1x)
Period 8
Entire Class (1x)
Aylin J. (3x)
Elizabeth P. (3x)
Julian R. (1x)
Cristal T. (2x)
Mario Z. (3x)
Rasheed Y. (3x)
Alexes M. (6x)
Ben S. (3x)
Joey P. (1x)
Aliyah G. (4x)
Ronaldo D. (4x)
Yesenia A. (1x)
Julio (1x)
Emily P. (1x)
Manuel S. (4x)
Nicole I. (1x)
Alberto M. (1x)
Christian R. (1x)
Ni [Sun] (Rectangle 1)
H(-4, 4) connects to I(-4, ½)
I connects to J(-4, -3)
J connects to K(2, -3)
K connects to L(2, ½)
L connects to M(2,4)
M connects to H
I connects to L
Tsuchi (Rectangle 3)
A(1, 4) connects to B(1, 1)
B connects to C(1, -3)
D(-2, 1) connects to E(3, 1)
F(-3, -3) connects to G(6, -3)
Mizu (Rectangle 5)
Q(-1, 4) connects to R(-1, -5)
R connects to S(0, -4)
N(-4, -1) connects to O(-2, 1)
O connects to P(-3, -3)
T(3, 3) connects to U(0, 1)
U connects to V(4, -3)
Hi [Fire] (Rectangle 7)
W(-5, 3) connects to X(-2, 0)
Y(2, 3) connects to Z(0, 0)
A’(-1, 4) connects to B’(-1, -1)
B’ connects to both C’(-4, -4) and D’(3, -4)
10-7
NOTES: Don’t Dis -Dis (or ‘Midpoints Part 2’)
How many words can you write down that begin with the prefix ‘dis-‘,
meaning apart or away or having a reversing force?
disable
disarrange
disembark
disinterred
disagree
disapprove
disentangle
dislike
disadvantage
disbelieve
disinfect
dislocate
disallow
discomfort
disinformation
dislodge
disappear
discontented
disinterest
disloyal
DISTANCE
X
Y
Given: A Number Line with 2 endpoints
distance
Objective: Find the
Step 1. Write the number values as a difference.
Step 2. Put absolute value signs around the difference.
Step 3. Subtract the number values and take the absolute
value.
Formula:
| 𝑿 − 𝒀 | or | 𝒀 − 𝑿 |
Title: Finding the length of a number line segment
(X, Y)
(X, Y)
(X, Y)
Given: A Coordinate Plane with 2 endpoints Objective: Find the distance
Step 1. Subtract the two x-coordinates…x1 and x2 .
Step 2. Square the difference.
Step 3. Subtract the two y-coordinates…y1 and y2 .
Step 4. Square the difference.
Step 5. Add the two differences.
Step 6. Take the square root of that sum.
Formula: √(𝐱 𝟐 − 𝐱 𝟏 )𝟐 + (𝐲𝟐 − 𝐲𝟏 )𝟐
Title: Finding the length of a coordinate plane segment
What’s new?
Why does this work???
10-7
NOTES: The Bible of Bi-
How many words can you write down that begin with the prefix ‘bi-‘?
1. bipolar
2. bisexual
3. binoculars
4. bifocals
5. biannual,
bimonthly,
biweekly,
bicentennial
6. binary
7. bipolar
8. bisexual
9. binoculars
10.
bifocals
11.
biannual,
bimonthly,
biweekly,
bicentennial
12.
binary
X
Given: A Number Line with 2 endpoints
13.
bipolar
14.
bisexual
15.
binoculars
16.
bifocals
17.
biannual,
bimonthly,
biweekly,
bicentennial
18.
binary
Y
Objective: Find the midpoint
Step 1. Add the number values for the two segment endpoints.
Step 2. Divide by 2.
Formula:
𝑿+𝒀
𝟐
Title: Finding the midpoint of a number line segment
A
B
Given: A Coordinate Plane with 2 endpoints
Step 1.
Step 2.
Step 3.
Step 4.
Formula:
Objective: Find the midpoint
Add the X coordinates of the segment endpoints.
Divide by two.
Add the Y coordinates of the segment endpoints.
Divide by two.
𝑿𝟏 + 𝑿𝟐 𝒀𝟏 + 𝒀𝟐
(
,
)
𝟐
𝟐
Title: Finding the midpoint of a coordinate plane segment
What’s new?
ANSWERS