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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.

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