1. Start Smart: Preparing for Pre-Algebra
Chapter 0
Start Smart: Preparing for Pre-Algebra

2. Look for a Pattern
Ramon got an from Angela. After 10 minutes, he forwarded it to 2 of his friends. After 10 more minutes, those 2 friends forwarded it to 2 more friends. If the was forwarded like this every 10 minutes, how many people received Angela’s after 40 minutes?
Understand: You know how long it takes to forward the . You need to find the total number of people who received the
Plan: Organize the data in a table. Look for a pattern in the data and extend the pattern.
Solve: 1, 2, 4, ____, ____ To continue the pattern, multiply each term by 2. So, = 31 people
Check: In the 40th minute, 16 people received the . Half as many received it each time before that. So, it is reasonable that the total will be less than 16 x 2 or 32. x2 x2 x2 x2

3. Guess and Check
Each human hand has 27 bones. There are 6 more bones in the fingers than in the wrist. There are 3 fewer bones in the palm than in the wrist. How many bones are in each part of the hand?
Wrist
Palm wrist – 3
Fingers wrist + 6
Total Bones (27)
Correct? 5
5-3=2
5+6=11
5+2+11=18
Too Low 7 4 13 24 9 6 15 30
Too High 8 14 27
Correct!

4. Make a Table
A vending machine accepts dollars, and each item in the machine costs 65 cents. If the machine gives only nickels, dimes, and quarters, what combinations of those coins are possible as change for one dollar?
Quarters
Dimes
Nickels 1

5. Work Backward
Kendrick spent half of the money he had this morning on lunch. After lunch, he loaned his friend a dollar. Now he has $1.50. How much money did Kendrick start with? Start with the end result: $1.50

6. Chapter 0-4
Algebra

7. Write a Rule
Write a verbal rule to find the number of dots in any figure below. Then find the number of dots in the 15th figure.
Figure
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Figure Number 1 2 3 4
Number of Dots 5 7 9
You can draw each figure or you can look for a pattern and write a rule.
Make a table to organize the information.
The number of dots is one more than twice the figure number.
So the 15th figure would have 2 x or 31 dots

8. Find Terms Find the 25th term in the sequence 4, 8, 12, 16,…
Position 1 2 3 4
Value of Term 8 12 16
The value of each term is 4 times its position in the sequence.
So, the 25th term would have a value of 4 x 25 or 100.

9. Find a Rule
Describe how to find the number of diagonals that can be drawn from any one vertex in the polygons shown. Then find the number of diagonals from one vertex in a 10-sided polygon.
Number of Sides 3 4 5
Number of Diagonals 1 2
Draw the diagonals from a single vertex.
The number of diagonals is three less than the number of sides.
So, there are 10-3 or 7 diagonals that can be drawn.

10. Practice!
Write a verbal rule to describe each pattern or sequence. Then find the 20th term in each.
Time (hours)
Bracelets Made 1 25 2 50 3 75
Number of Lawns
Dollars Paid 1 15 2 25 3 35
4, 5, 6, 7, … 3, 8, 13, 18,…

11. Chapter 0-5
Geometry

12. Perimeter- the distance around any closed figure

13. Find Perimeter
The distance between each base on a Little League baseball diamond is 60 feet. Find the total distance you will run if you hit a home run. To find the total distance run, find the perimeter of the baseball diamond. 60 feet + 60 feet + 60 feet + 60 feet = 240 feet

14. Perimeter of a Regular Polygon
Find the perimeter of a regular octagon with side lengths of 2 centimeters. A regular octagon has 8 sides of equal length. Multiply 8 by 2 centimeters to get the perimeter. 8 x 2 = 16 The octagon has a perimeter of 16 centimeters.

15. Find the Perimeter
Laila is putting the letter shown at the right into a scrapbook. She wants to put a decorative trim around the letter. Measure the sides of the letter to the nearest millimeter to determine how much trim she will need. Use a centimeter ruler to measure each side for the letter to the nearest millimeter. Then add the six lengths. 13 mm + 46 mm + 25 mm + 12 mm + 22 mm + 34 mm = 162 mm

16. Find the perimeter of each figure.

18. Chapter 0-6
Measurement

19. Length from nose to fingertip
Customary System
Unit
Model
1 inch (in.)
Width of a quarter
1 foot (ft) = 12 in.
Height of a textbook
1 yard (yd) = 3 ft.
Length from nose to fingertip
1 mile (mi) = 1760 yd
10 city blocks

20. Half the width of a penny
Metric System
Unit
Model
Millimeter (mm)
Thickness of a coin
Centimeter (cm) = 10 mm
Half the width of a penny
Meter (m) = 100 cm
Width of a doorway
Kilometer (km) = 1000 m
Six city blocks

21. Estimate and Measure Length
Estimate the customary length of the key. Then measure to find the actual length.
The length of the key is about 2 inches long.
The key is actually 2 ½ inches long.

22. Convert Measurements Complete each conversion.
___ yd = 129 ft Since 1 yard = 3 feet, divide 129 by / 3 = 43 So, 43 yard = 129 feet. * Smaller unit to larger unit, DIVIDE

23. Convert Measurements
___ in. = 4.5 ft Since 12 inches = 1 foot, multiply 12 by 4.5.
12 x 4.5 = 54 So, 54 inches = 4.5 feet
*Larger unit to smaller unit, MULTIPLY

24. Convert Measurements
___ mm = 13 cm Since 10 millimeters = 1 centimeter, multiply 13 by 10.
13 x 10 = 130 So, 130 millimeter = 13 centimeter
*Larger unit to smaller unit, MULTIPLY

25. Convert Measurements
___ m = 175 cm Since 1 meter = 100 centimeter, divide 175 by 100.
175 / 100 = So, 1.75 meter = 175 centimeter
* Smaller unit to larger unit, DIVIDE