Puzzles, Twisters & Teasers 12-2 - Blank Home Page for Parkland ...
Puzzles, Twisters & Teasers 12-2 - Blank Home Page for Parkland ...
Puzzles, Twisters & Teasers 12-2 - Blank Home Page for Parkland ...
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Name Date Class<br />
LESSON<br />
<strong>12</strong>-2<br />
<strong>Puzzles</strong>, <strong>Twisters</strong> & <strong>Teasers</strong><br />
Line Up<br />
Graph each equation. Use the letters of the points on each line<br />
to solve the riddle. Write the letters of 1 and 2 on the first two<br />
blanks of the riddle. The letter of the higher point on the graph<br />
goes first, then the lower point. Follow with points 3 and 4, then<br />
5 and 6, etc.<br />
Point Graph Point Graph<br />
Numbers<br />
Numbers<br />
1 and 2 y x 2 9 and 10 y 2x 1<br />
3 and 4 y 3x 3 11 and <strong>12</strong> y x 1<br />
5 and 6 y 2x 13 and 14 y x<br />
<br />
2<br />
7 and 8 x 3<br />
y<br />
E<br />
Y<br />
8<br />
T S H<br />
H<br />
M<br />
4<br />
I T<br />
8 4 O 4 8<br />
R<br />
T<br />
D<br />
4<br />
E L N A G<br />
8<br />
P<br />
x<br />
A hiker went without sleep <strong>for</strong> seven days and wasn’t tired. How<br />
1<br />
2<br />
3<br />
4<br />
5<br />
6<br />
7<br />
8<br />
9<br />
10<br />
11<br />
<strong>12</strong><br />
13<br />
14<br />
Copyright © by Holt, Rinehart and Winston.<br />
24 Holt Middle School Math Course 1<br />
All rights reserved.
LESSON<br />
<strong>12</strong>-2<br />
Problem Solving<br />
Graphing Functions<br />
Use the table to answer each<br />
question.<br />
1. F 9 C 32 is an equation <strong>for</strong><br />
5<br />
the function that gives the values in<br />
the table. What does each variable<br />
represent in the equation Use the<br />
equation to complete the table.<br />
F degrees Fahrenheit;<br />
C degrees Celsius<br />
2. Write a different equation <strong>for</strong> a<br />
function that gives the values in<br />
the table.<br />
C 5 (F – 32)<br />
9<br />
4. Graph the function described by<br />
either equation on the graph at right.<br />
Check students’ graphs.<br />
5. Use your graph to find the equivalent<br />
Fahrenheit temperature <strong>for</strong> 8°C.<br />
46°F<br />
Equivalent Temperatures<br />
Celsius (°C)<br />
20<br />
Fahrenheit (°F)<br />
4<br />
10 14<br />
0 32<br />
10 50<br />
20 68<br />
3. Is the ordered pair (30, 86) a solution<br />
<strong>for</strong> either equation Why or why not<br />
What does each value in the ordered<br />
pair represent<br />
Yes, the ordered pair is (C, F);<br />
86 9 (30) 32<br />
5<br />
32<br />
16<br />
32 16 O 16 32<br />
16<br />
32<br />
C<br />
F<br />
LESSON<br />
<strong>12</strong>-2<br />
<strong>Puzzles</strong>, <strong>Twisters</strong> & <strong>Teasers</strong><br />
Line Up<br />
Graph each equation. Use the letters of the points on each line<br />
to solve the riddle. Write the letters of 1 and 2 on the first two<br />
blanks of the riddle. The letter of the higher point on the graph<br />
goes first, then the lower point. Follow with points 3 and 4, then<br />
5 and 6, etc.<br />
Point Graph Point Graph<br />
Numbers<br />
Numbers<br />
1 and 2 y x 2 9 and 10 y 2x 1<br />
3 and 4 y 3x 3 11 and <strong>12</strong> y x 1<br />
5 and 6 y 2x 13 and 14 y x<br />
<br />
2<br />
7 and 8 x 3<br />
Y<br />
H<br />
T<br />
I<br />
8<br />
4<br />
y<br />
E<br />
S H M<br />
8 4 O 4 8<br />
R<br />
T<br />
D<br />
4<br />
E L N A G<br />
8<br />
P<br />
T<br />
x<br />
Circle the letter of the correct answer.<br />
6. What Celsius temperature is<br />
equivalent to 58°F<br />
A 50°C C 50°C<br />
B 14.4°C D 40°C<br />
7. Which of these ordered pairs is not a<br />
solution <strong>for</strong> the equation in Exercise 1<br />
F (100, 2<strong>12</strong>) H (40, 104)<br />
G (0, 32) J (60, 140)<br />
A hiker went without sleep <strong>for</strong> seven days and wasn’t tired. How<br />
H<br />
1<br />
E<br />
2<br />
S<br />
3<br />
N<br />
10<br />
L<br />
4<br />
I<br />
11<br />
E<br />
5<br />
G<br />
<strong>12</strong><br />
P<br />
6<br />
H<br />
13<br />
T<br />
7<br />
T<br />
14<br />
A<br />
8<br />
T<br />
9<br />
Copyright © by Holt, Rinehart and Winston.<br />
23 Holt Middle School Math Course 1<br />
All rights reserved.<br />
Copyright © by Holt, Rinehart and Winston.<br />
24 Holt Middle School Math Course 1<br />
All rights reserved.<br />
LESSON<br />
<strong>12</strong>-3<br />
Exploration Recording Sheet<br />
Graphing Translations<br />
The graph shows the translation (slide) of the red triangle to the<br />
blue triangle.<br />
y<br />
10<br />
1. Label the coordinates of the vertices of each triangle.<br />
2. Are the two triangles congruent<br />
3. Examine the blue translated triangle.<br />
a. How far is it shifted to the right<br />
b. How far is it shifted up<br />
Think and Discuss<br />
8<br />
6<br />
4<br />
(1, 6)<br />
2<br />
(1, 2) (4, 2)<br />
O 2 4<br />
(7, 8)<br />
(7, 4)<br />
4. Explain how to find the coordinates of the vertices<br />
of the translated triangle by using the coordinates of<br />
the vertices of the original triangle.<br />
Possible answer: If the figure was translated 6 units right and 2 units<br />
up you add 6 to the original x-coordinate and add 2 to the original<br />
y-coordinate (1, 2) (1 6; 2 2) (7, 4)<br />
(10, 4)<br />
6 8 10<br />
5. Explain how you determined whether the triangles are<br />
congruent.<br />
The figures are the same shape and size so they are congruent.<br />
x<br />
yes<br />
6 units<br />
2 units<br />
LESSON<br />
<strong>12</strong>-3<br />
Practice A<br />
Graphing Translations<br />
Give the coordinates of the vertices of<br />
each figure after the given translation.<br />
1. Translate line segment FG<br />
2 units right.<br />
F'(4, 2); G'(0, 8)<br />
2. Translate line segment FG 4 units<br />
down.<br />
F'(6, 2); G'(2, 4)<br />
3. Translate line segment FG 1 unit up<br />
and 1 unit left.<br />
F'(7, 3); G'(3, 9)<br />
4. Translate triangle XYZ 1 unit up<br />
and1 unit right.<br />
X'(6, 5); Y'(3, 3);<br />
Z'(6, 1)<br />
5. Translate triangle XYZ 1 unit<br />
down and 2 units right.<br />
X'(5, 7); Y'(2, 5);<br />
Z'(5, 3)<br />
6. Translate triangle ABC 2 units up.<br />
A'(3, 4); B'(3, 9);<br />
C'(8, 4)<br />
7. Translate triangle ABC 3 units left.<br />
A'(0, 2); B'(0, 7);<br />
C'(5, 2)<br />
y<br />
G<br />
8<br />
4<br />
F<br />
x<br />
8 4 O 4 8<br />
4<br />
8<br />
y<br />
8<br />
4<br />
x<br />
8Z<br />
4 O 4 8<br />
4<br />
Y<br />
X<br />
8<br />
y<br />
8 B<br />
4<br />
A C x<br />
8 4 O 4 8<br />
4<br />
8<br />
Copyright © by Holt, Rinehart and Winston.<br />
27 Holt Middle School Math Course 1<br />
All rights reserved.<br />
Copyright © by Holt, Rinehart and Winston.<br />
28 Holt Middle School Math Course 1<br />
All rights reserved.<br />
Copyright © by Holt, Rinehart and Winston.<br />
73 Holt Middle School Math Course 1<br />
All rights reserved.