Download Big Ideas: Chapter 1

Unit 1 Schedule
Date
8/3/16
Indicator 1:
8/4/16
8/5/16
8/8/16
8/9/16
8/10/16
8/11/16
Indicator 2:
8/12/16
8/15/16
8/16/16
8/17/16
8/18/16
Indicator 3:
8/19/16
8/22/16
8/23/16
Topic
First Day of School
Suggested HW
Absolute Value (R 1.1)
Adding Integers (R 1.2)
Subtracting Integers (R 1.3)
Multiplying/Dividing Integers (R 1.4/1.5)
Order of Operations with Integers
Quiz on Integers
See below
See below
See below
See below
See below
Rational Numbers (R 2.1)
Add/Subtract Rational Numbers (R 2.2)
Multiply/Divide Rational Numbers (R 2.3)
Order of Op w/Rational Numbers
Rational Number Quizzes
See below
See below
See below
See below
#1 due
Expressions
Review Indicators 1 – 3
Unit 1 Test (Indicators 1 – 3)
See below
#2 due
Suggested Homework for 8/4/16 – Absolute Value_______________________________________
Find the absolute value of the integer.
1.
12
3. 4
2. 0
4. Copy and complete the statement using , , or  .
7
?
7
5. While playing a game, you move back 5 spaces with your roll of the number cube. Your friend moves
forward 3 spaces. Write each amount as an integer.
6. Order the values from least to greatest.
7. Simplify the expression.
2 , 0, 5 , 6 , 3
 8
8. The temperature at noon is 12 F. The temperature at midnight is 8 F. Which temperature is closer to
0 F?
9. Write an integer whose absolute value is greater than itself.
Suggested Homework for 8/5/16 – Adding Integers_______________________________________
Add.
1. 5  3
2. 6  6
3. 9  6
4. 7  13
5. 12  5
6. 12  15
7. 7  5  2
8. 17   5  1
9. 12  4  9
10.
11  5  12
11.
12  5  10
Evaluate the expression when a  3, b  7, and c  6.
12. a  c
13.
ab
14.
abc
CDC
15. In golf, a golfer must have a score of 0 in order to be at par. A golfer scores 2 above par on the first
hole, 1 below par on the second hole, and 2 below par on the third hole. Which expression can be used
to decide whether the golfer is at par after the first three holes?
2  1 
2
2  1  2
2  1  2
Suggested Homework for 8/8/16 – Subtracting Integers_______________________________________
Subtract.
1. 4  5
2. 9  6
5. 15  7
6. 31  14
4. 6  14
3. 12  4
7. You are scuba diving at 8 feet. You dive 5 feet deeper. What is your position in the water?
Evaluate the expression.
8. 8  12  6
9.
0   4  8
11. 14  6  2
12.
8  13  5
10.
7  12  4
Evaluate the expression when r  5, s  2, and t  1.
13. t  s  r
sr
14.
15.Write two different pairs of negative integers, x and y, that make the statement x  y  2 true.
x x  0
16. Determine whether x is positive or negative.
Suggested Homework for 8/9/16 – Multiplying and Dividing Integers_______________________________________
Multiply.
1. 4  3
2. 13  7
3. A water tank leaks 5 gallons of water each day. What integer represents the change in the number of
gallons of water in the tank after 7 days?
Multiply.
4. 0  8  6
5.
6  4  2
6.
545
8.
 32
9.
23
Evaluate the expression.
7.
32
10. 3   4
Divide, if possible.
11. 8  4
12. 35  7
13.
15
0
14.
56
8
15. Your team dives for 28 lobsters over 7 days. What is the average daily lobster catch?
Evaluate the expression when a  15, b  3, and c  5.
16. b 2 c  ac
17.
a  2b
c 2
2
Find the next two numbers in the pattern.
18. 96, 48, 24, 12,
19. 9, 27, 81, 243,
20. An elevator is 180 feet above the first floor. Each second it descends
12 feet.
Time
a. What integer is the change in the height of the elevator each
second?
3 sec
6 sec
9 sec
Height
b. Copy and complete the table.
21. The velocity (in feet per second) of a bouncing ball was recorded every second. The table shows the
velocity for each second.
Time (sec)
Velocity (ft/sec)
1
2
3
4
5
15
6
2
10
11
a. What is the average velocity of the bouncing ball over the 5 seconds?
b. What is the highest recorded speed of the bouncing ball? Is the ball going up or down at this speed?
Suggested Homework for 8/10/16 – Order of Operations with Integers______________________________________
Solve.
10  2  3
1.

2. 4  10   5  7 
2
3. 2   7   10   2  10  5  (7)

4.
5. 8  (4)  5
6. 3  6(2)  2
10  2  1
Suggested Homework for 8/12/16 – Rational Numbers____________________________________________________
2
3
Write the rational number as a decimal.
1.
5
9
2. 
3
8
3. 2
1
3
5
12
4. 1
Write the decimal as a fraction or mixed number in simplest form.
6. 0.43
5. 0.7
7. 2.07
8. 3.125
Order the numbers from least to greatest.
2
3
3
2
9. 1.6,  , 0.5, , 
5
2
10.
3
7
, 1.7, 0.6,  , 1.1
4
4
11. You get 17 out of 22 questions correct on a math test.
a. What is your percent of correct answers?
b. The lowest score to pass is 70%. Did you pass the test?
c. What is the minimum number of correct answers needed in order to pass the test?
Suggested Homework for 8/15/16 – Add and Subtract Rational Numbers___________________________________
Add. Write fractions in simplest form.
1.
3  4
  
5  15 
2.

7
2
3
2
3
3.
5.6  1.3
4. 7.15  12.76
Subtract. Write fractions in simplest form.
5.
7
 13 
  
12  12 
6.
9. Your dog’s water bowl is
3
1
5
1
2
6
7.
12.41  9.95
8. 2  8.25
3
1
full. After taking a drink, the water bowl is
full. What fraction of the
4
3
bowl did your dog drink?
Evaluate.
10.
7  3  1
  2     4 
8  4  2
11. 5.76  2.31  10.64
12. Mary filled a water cooler with 6
1
5
gallons of water. She forgot to close the plug and 2 gallons
2
6
leaked out.
a. How many gallons of water remain in the cooler?
b. She adds 1
1
gallons. How many gallons of water are now in the cooler?
4
c. How many gallons of water must she add to the cooler to get the required 6
1
gallons?
2
Add or subtract. Write the answer in simplest form.
13.
2x  x 
  
5
 5
14. 3n 
n
4
Suggested Homework for 8/16/16 – Multiply and Divide Rational Numbers__________________________________
Find the reciprocal.
1. 7
2. 
1
5
3. 2
3
8
Divide. Write fractions in simplest form.
2 10
4.  
7
7
5.
2
  14
3
6.
1 5
1 
6 3
7.
5.4  3.6
11.
3.7  2.1
Multiply. Write fractions in simplest form.
8.
2  10 
  
5  7
9.
3 2 
 2 
2 9 
12. There are 15 people in a room. Each person ate
10.
 3
 1 
 8
2
2
of a pizza. There was no pizza remaining. How
3
many pizzas were in the room?
13. During a drought, a river’s height decreases by 0.35 inch every day. What is the change in the river’s
height after 7 days?
Evaluate.
14. 32  4.6  0.1
15. 2
2
5
1  2
3
6
Suggested Homework for 8/17/16 – Order of Operations with Rational Numbers_____________________________
 8
 5
 2 1 1 1 1
  
 3 4 2 2 3
1. ( 9  5)    
2.    
3. 2.3  (11.2)  (0.2)  3.7
4.


1  2
2  3
5.  4       2
3
4
0.67  4.2  ( 0.2)
 7.3  8.6 
2
 3 1  3
 5 3  4
6.         
Suggested Homework for 8/19/16 – Expressions_________________________________________________________
Write each as an algebraic expression or equation.
1. the quotient of fourteen and a number c
2. six more than twice a number n
3. a number c less than ten
4. three times a number m increased by five is 19
5. twice a number x decreased by three is twelve 6. three more than the quotient of a number y and two is twenty
Simplify each expression.
7. 12  4n  5  2n 10
10. 15  3( y  5)
8. 3  2s  4  3s
11. 8(r  9)  7r
9. 10a  2  7b  3 15a
12. 6  4(5 y  2)  3( y  2)