Name _________________________ Date __________
Solve:1. 6 + 1 = 5. 6 + 7 = *9. 50 + 50 =
2. 8 + 0 = 6. 60 + 70 = *10. 20 + 30 =
3. 4 + 4 = 7. 7 + 9 = *11. 60 + 80 =
4. 9 + 2 = 8. 70 + 90 = *12. 90 + 90 = 1.1
Name _________________________ Date __________
Solve:1. 6 + 1 = 5. 6 + 7 = *9. 50 + 50 =
2. 8 + 0 = 6. 60 + 70 = *10. 20 + 30 =
3. 4 + 4 = 7. 7 + 9 = *11. 60 + 80 =
4. 9 + 2 = 8. 70 + 90 = *12. 90 + 90 = 1.1
Name _________________________ Date __________
Explain the difference between a line segment and a line.
*Try using drawings and/or symbols as part of your explanation. 1.2
Name _________________________ Date __________
Explain the difference between a line segment and a line.
*Try using drawings and/or symbols as part of your explanation. 1.2
Name _________________________ Date __________
Choose two of the quadrangles you made today in the lesson. Explain how they are alike and how they are different.
1.3
Name _________________________ Date __________
Choose two of the quadrangles you made today in the lesson. Explain how they are alike and how they are different.
1.3
Name _________________________ Date __________
1.4
Name _________________________ Date __________
1.4
*Try drawing more than one example of each.
*Try drawing more than one example of each.
Name _________________________ Date __________
If you had to explain what a polygon is, what would you say? (Look at page 12 of your Math Journal and think about what Polygons 1-4 have in common and how Shapes 5-9 are different from them.)
1.5
Name _________________________ Date __________
If you had to explain what a polygon is, what would you say? (Look at page 12 of your Math Journal and think about what Polygons 1-4 have in common and how Shapes 5-9 are different from them.)
1.5
Name _________________________ Date __________
1.6
Name _________________________ Date __________
1.6
Name _________________________ Date __________
1.7
Name _________________________ Date __________
1.7
*Compare the area of the smallest circle with the area of the entire board.
*Compare the area of the smallest circle with the area of the entire board.
Name _________________________ Date
1.8
Name _________________________ Date
1.8
*
*
*
*
Name _________________________ Date __________
Solve:
2 + 7 = 20 + 70 = 200 + 700 =
4 + 9 = 40 + 90 = 400 + 900 =
*500 + 700 = *5,000 + 7,000 =
*50,000 + 70,000 = 2.1
Name _________________________ Date __________
Solve:
2 + 7 = 20 + 70 = 200 + 700 =
4 + 9 = 40 + 90 = 400 + 900 =
*500 + 700 = *5,000 + 7,000 =
*50,000 + 70,000 = 2.1
Name _________________________ Date __________
Make up your own name-collection box. Use different kinds of numbers and operations.
*Try using grouping symbols or exponents. 2.2
Name _________________________ Date __________
Make up your own name-collection box. Use different kinds of numbers and operations.
*Try using grouping symbols or exponents. 2.2
Name _________________________ Date __________
*In 705,622,463, 7 is worth ____________________ 2.3
Name _________________________ Date __________
*In 705,622,463, 7 is worth ____________________ 2.3
Name _________________________ Date __________
Explain how you solved problem 2f on journal page 36.
2.4
Name _________________________ Date __________
Explain how you solved problem 2f on journal page 36.
2.4
Name _________________________ Date __________
*Explain how you would use subtraction to check your answers.
2.5
Name _________________________ Date __________
*Explain how you would use subtraction to check your answers.
2.5
Name _________________________ Date __________
Use the information your class collected on journal page 40.
*What is the mean family size for the class? _________ people 2.6
Name _________________________ Date __________
Use the information your class collected on journal page 40.
*What is the mean family size for the class? _________ people 2.6
Name _________________________ Date __________Solve:
*Try using more than one method. Try showing how the relationship between + and – can be used to check your answers.
2.7
Name _________________________ Date __________Solve:
*Try using more than one method. Try showing how the relationship between + and – can be used to check your answers.
2.7
Name _________________________ Date __________Use the information from the activity on journal page 46 to answer the following:
*Why would the mean not be a useful data landmark in this situation?
2.8
Name _________________________ Date __________Use the information from the activity on journal page 46 to answer the following:
*Why would the mean not be a useful data landmark in this situation?
2.8
Name _________________________ Date __________Solve:
*Try using more than one method. Try showing how the relationship between –and + can be used to check your answers.
2.9
Name _________________________ Date __________Solve:
*Try using more than one method. Try showing how the relationship between –and + can be used to check your answers.
2.9
Name _________________________ Date __________
*Try Problems 3 and 5 on journal page 53. 3.1
Name _________________________ Date __________
*Try Problems 3 and 5 on journal page 53. 3.1
Name _________________________ Date __________
Play a few rounds of Name That Number and record two here.
3.2
Name _________________________ Date __________
Play a few rounds of Name That Number and record two here.
3.2Name _________________________ Date __________
*Try showing more than one possible solution. 3.3
Name _________________________ Date __________
*Try showing more than one possible solution. 3.3
Name _________________________ Date __________
Solve:
4 x 4 = 6 x 7 = *30 x 9 =
6 x 5 = 5 x 7 = *60 x 7 =
7 x 3 = 9 x 8 = *90 x 90 =
8 x 3 = 8 x 6 = *60 x 50 =
3.4
Name _________________________ Date __________
Solve:
4 x 4 = 6 x 7 = *30 x 9 =
6 x 5 = 5 x 7 = *60 x 7 =
7 x 3 = 9 x 8 = *90 x 90 =
8 x 3 = 8 x 6 = *60 x 50 =
3.4 Name _________________________ Date __________
*Try using factors greater than 10. 3.5
Name _________________________ Date __________
*Try using factors greater than 10. 3.5
Name _________________________ Date __________
*Try using more than one method to solve the problems. Try showing how the relationship between + and – can be used to check your answers.
3.6
Name _________________________ Date __________
*Try using more than one method to solve the problems. Try showing how the relationship between + and – can be used to check your answers.
3.6Name _________________________ Date __________Look at journal page 64 to answer the following question.*Try explaining how you solved problems involving measurements that include ½ inches on the globe.
3.7
Name _________________________ Date __________Look at journal page 64 to answer the following question.*Try explaining how you solved problems involving measurements that include ½ inches on the globe.
3.7Name _________________________ Date __________Look at journal pages 66-67.How did you use the table of air distances to solve Problem 3? *How can subtraction be used to check your answers?
3.8
Name _________________________ Date __________Look at journal pages 66-67.How did you use the table of air distances to solve Problem 3? *How can subtraction be used to check your answers?
3.8Name _________________________ Date __________
3.9
Name _________________________ Date __________
3.9Name _________________________ Date __________
12 ÷ 2 = _______ 25 ÷ 5 = _______ *240 ÷ 6 = _______
10 ÷ 10 = _______ 18 ÷ 6 = _______ *720 ÷ 9 = _______
20 ÷ 4 = _______ 49 ÷ 7 = _______ *4,800 ÷ 8 = _____
18 ÷ 2 = _______ 48 ÷ 8 = _______ *3,600 ÷ 4 = _____
30 ÷ 10 = _______ 32 ÷ 4 = _______ *4,200 ÷ 60 = ____
35 ÷ 5 = _______ 27 ÷ 3 = _______ *8,100 ÷ 90 = ____
3.10
Name _________________________ Date __________
12 ÷ 2 = _______ 25 ÷ 5 = _______ *240 ÷ 6 = _______
10 ÷ 10 = _______ 18 ÷ 6 = _______ *720 ÷ 9 = _______
20 ÷ 4 = _______ 49 ÷ 7 = _______ *4,800 ÷ 8 = _____
18 ÷ 2 = _______ 48 ÷ 8 = _______ *3,600 ÷ 4 = _____
30 ÷ 10 = _______ 32 ÷ 4 = _______ *4,200 ÷ 60 = ____
35 ÷ 5 = _______ 27 ÷ 3 = _______ *8,100 ÷ 90 = ____
3.10Name _________________________ Date __________
Look at journal page 73. Answer the following:
How did you solve any of the first four problems?*Can you explain how you solved Problem 5?
3.11
Name _________________________ Date __________
Look at journal page 73. Answer the following:
How did you solve any of the first four problems?*Can you explain how you solved Problem 5?
3.11
Name _________________________ Date __________
In the numeral 9,358,461.72, the 6 is worth 60.
a. The 4 is worth _____________________ b. The 8 is worth _____________________
c. The 3 is worth _____________________
d. The 9 is worth _____________________
e. *The 7 is worth _____________________
4.1
Name _________________________ Date __________
In the numeral 9,358,461.72, the 6 is worth 60.
a. The 4 is worth _____________________ b. The 8 is worth _____________________
c. The 3 is worth _____________________
d. The 9 is worth _____________________
e. *The 7 is worth _____________________
4.1Name _________________________ Date __________
Look at journal page 80.
Explain the difference between 0.9 and 0.09 in Problem 1.
4.2
Name _________________________ Date __________
Look at journal page 80. Explain the difference between 0.9 and 0.09 in Problem 1.
4.2
Name _________________________ Date __________
Write < or >.
a. 0.24 _______ 0.18 d. 1.03 _______ 0.30
b. 0.05 _______ 0.1 e. 3.2 ________ 6.59
c. 0.2 ________ 0.36 f. 25.9 _______ 25.72
*Write your own decimals to make true number sentences.
_____ > _____ _____ < _____ _____ < _____
4.3
Name _________________________ Date __________
Write < or >.
a. 0.24 _______ 0.18 d. 1.03 _______ 0.30
b. 0.05 _______ 0.1 e. 3.2 ________ 6.59
c. 0.2 ________ 0.36 f. 25.9 _______ 25.72
*Write your own decimals to make true number sentences.
_____ > _____ _____ < _____ _____ < _____
4.3Name _________________________ Date __________
Use the information on journal page 85:
1. Estimate the total distance traveled. Circle the best answer. a. less than 150 miles b. between 150 and 180 miles
c. between 180 and 200 miles d. more than 200 miles
2. Explain how you solved the problem above.
________________________________________________
________________________________________________ 4.4
Name _________________________ Date __________
Use the information on journal page 85:
1. Estimate the total distance traveled. Circle the best answer. a. less than 150 miles b. between 150 and 180 miles
c. between 180 and 200 miles d. more than 200 miles
2. Explain how you solved the problem above.
________________________________________________
________________________________________________ 4.4
Name _________________________ Date __________
What’s wrong with this problem?
What is the correct answer?*How can a ballpark estimate be used to check the answer?
0.76 + 0.2 0.78
4.5
Name _________________________ Date __________
What’s wrong with this problem? What is the correct answer?*How can a ballpark estimate be used to check the answer?
0.76 + 0.2 0.78
4.5
Name _________________________ Date __________
Number of items students brought to the school food drive.
28, 26, 3, 8, 2, 6, 8, 13, 1, 5
What is the:
a. maximum ________ b. minimum ________ c. range ________ d. mode ________
e. median ________ *f. mean ________
4.6
Name _________________________ Date __________
Number of items students brought to the school food drive.
28, 26, 3, 8, 2, 6, 8, 13, 1, 5
What is the:
a. maximum ________ b. minimum ________ c. range ________ d. mode ________
e. median ________ *f. mean ________
4.6
Name _________________________ Date __________
Write the decimals as the teacher dictates them.1. _____ 4. _____ *7. _____
2. _____ 5. _____ *8. _____
3. _____ 6. _____ *9. _____
4.7
Name _________________________ Date __________
Write the decimals as the teacher dictates them.1. _____ 4. _____ *7. _____
2. _____ 5. _____ *8. _____
3. _____ 6. _____ *9. _____
4.7
Name _________________________ Date __________
Turn to journal page 96 and measure the line segments in Problem 2.*Try Problem 3 (measuring to the ½ centimeter!).
4.8
Name _________________________ Date __________
Turn to journal page 96 and measure the line segments in Problem 2.*Try Problem 3 (measuring to the ½ centimeter!).
4.8
Name _________________________ Date __________
Record five rounds of Number Top-It (Decimals).
Round Player 1 >, <, = Player 2
1
2
3
4
5
_ 4.9
Name _________________________ Date __________
Record five rounds of Number Top-It (Decimals).
Round Player 1 >, <, = Player 2
1
2
3
4
5
_ 4.9
Name _________________________ Date __________
Solve:
0 x 6 = 6 x 6 = *40 x 5 =9 x 1 = 3 x 4 = *300 x 6 =2 x 7 = 7 x 7 = *70 x 80 =5 x 8 = 4 x 6 = *40 x 90 =10 x 3 = 6 x 3 = *500 x 30 =
4.10
Name _________________________ Date __________
Solve:
0 x 6 = 6 x 6 = *40 x 5 =
9 x 1 = 3 x 4 = *300 x 6 =2 x 7 = 7 x 7 = *70 x 80 =5 x 8 = 4 x 6 = *40 x 90 =10 x 3 = 6 x 3 = *500 x 30 =
Name _______________________ Date ______________What shortcut can you use to multiply tens by tens, such as 40 x 60?
*Can this shortcut be used when multiplying tens by hundreds and hundreds by hundreds? Why or why not? 5.1
Name _______________________ Date ______________What shortcut can you use to multiply tens by tens, such as 40 x 60?
*Can this shortcut be used when multiplying tens by hundreds and hundreds by hundreds? Why or why not? 5.1 Name _______________________ Date ______________
*Suggest how to change a false number to make it true. 5.2
Name _______________________ Date ______________
*Suggest how to change a false number to make it true. 5.2 Name _______________________ Date ______________Look at journal page 113. Explain how you solved Problems 2-4.
*Can you describe more than one way to solve the problems? 5.3
Name _______________________ Date ______________Look at journal page 113. Explain how you solved Problems 2-4.
*Can you describe more than one way to solve the problems? 5.3 Name _______________________ Date ______________Play Multiplication Wrestling. Record one round here.Cards: ________ ________ ________ ________
Numbers formed: ________ x ________
Teams: (________ + ________) x (________ + ________)
Products: ________ x ________ = ________
________ x ________ = ________
________ x ________ = ________
________ x ________ = ________
Total (add 4 products) ________
5.4
Name _______________________ Date ______________Play Multiplication Wrestling. Record one round here.Cards: ________ ________ ________ ________
Numbers formed: ________ x ________
Teams: (________ + ________) x (________ + ________)
Products: ________ x ________ = ________
________ x ________ = ________
________ x ________ = ________
________ x ________ = ________
Total (add 4 products) ________
5.4 Name _______________________ Date ______________Multiply using the partial-products method.
1. 82 x 3 = _________
2. 6 x 53 = _________
*3. 574 x 5 = ________
*4. 3 x 470 = ________
*5. 2 x 1,523 = ________
5.5
Name _______________________ Date ______________Multiply using the partial-products method.
1. 82 x 3 = _________
2. 6 x 53 = _________
*3. 574 x 5 = ________
*4. 3 x 470 = ________
*5. 2 x 1,523 = ________
5.5 Name _______________________ Date ______________Write number models to show your estimates.
3 x 52 = _______________ 4 x 26 = _______________
9 x 74 = _______________ 8 x 632 = _______________
6 x 569 = _______________ 3 x 248 = _______________
*2 x 7,414 = _______________ 5 x 8,299 = _______________
*7 x 6,172 = _______________
5.6
Name _______________________ Date ______________Write number models to show your estimates.
3 x 52 = _______________ 4 x 26 = _______________
9 x 74 = _______________ 8 x 632 = _______________
6 x 569 = _______________ 3 x 248 = _______________
*2 x 7,414 = _______________ 5 x 8,299 = _______________
*7 x 6,172 = _______________
5.6
Name _______________________ Date ______________Play five rounds of Top-It. Record your number sentence and your opponent’s number sentence. Write >, <, or = to compare the number sentences.
Round Player 1 >, <, = Player 2
Sample 4 + 6 = 10 < 8 + 3 = 11
1
2
3
4
5
*Try playing a variation of the game where you solve 2-digit by 1-digit multiplication problems mentally. 5.7
Name _______________________ Date ______________Play five rounds of Top-It.
Record your number sentence and your opponent’s number sentence. Write >, <, or = to compare the number sentences.
Round Player 1 >, <, = Player 2
Sample 4 + 6 = 10 < 8 + 3 = 11
1
2
3
4
5
*Try playing a variation of the game where you solve 2-digit by 1-digit multiplication problems mentally. 5.7
Name _______________________ Date ______________Look at Problem 3a on journal page 127. Describe how you determined that a ream of paper would have 1 million dots.
*How did you use this information to solve Problems 3b-3d? 5.8
Name _______________________ Date ______________Look at Problem 3a on journal page 127.
Describe how you determined that a ream of paper would have 1 million dots.
*How did you use this information to solve Problems 3b-3d? 5.8 Name _______________________ Date ______________Look at journal page 130. Describe the pattern in one of the rows in the table.
*Can you extend the pattern past millions and/or ones? 5.9
Name _______________________ Date ______________Look at journal page 130. Describe the pattern in one of the rows in the table.
*Can you extend the pattern past millions and/or ones? 5.9 Name _______________________ Date ______________Solve:
9 x 2 = _____ 9 x 9 = _____ *40 x 9 = _____
4 x 4 = _____ 6 x 8 = _____ *50 x 7 = _____
3 x 8 = _____ 6 x 7 = _____ *70 x 80 = _____
5 x 4 = _____ 9 x 6 = _____ *30 x 90 = _____
5.10
Name _______________________ Date ______________Solve:
9 x 2 = _____ 9 x 9 = _____ *40 x 9 = _____
4 x 4 = _____ 6 x 8 = _____ *50 x 7 = _____
3 x 8 = _____ 6 x 7 = _____ *70 x 80 = _____
5 x 4 = _____ 9 x 6 = _____ *30 x 90 = _____
5.10 Name _______________________ Date ______________Write <, >, or = to make each number sentence true.
a. 356,789 _____ 354,999
b. 670,000 _____ 67,000,000
c. 62 million _____ 9,700,000
d. 105,000,000 _____ 15,500,000
*e. 104 _____ 1,000
5.11
Name _______________________ Date ______________Write <, >, or = to make each number sentence true.
a. 356,789 _____ 354,999
b. 670,000 _____ 67,000,000
c. 62 million _____ 9,700,000
d. 105,000,000 _____ 15,500,000
*e. 104 _____ 1,000
5.11
Name _________________________ Date __________
Fill in each Multiplication/Division Diagram. Then write a number model with a variable for the unknown. Be sure to include a unit with your answer. Solve the problem and write a summary number model.
1. The profit from the Maple Street lemonade stand was $36. Four girls will share this amount equally. What will each girl’s share be?
girls dollars per girl total dollars
Number model with unknown: ______________________
Answer: _____________ Summary number model: _________________
2. Sheila has 57 pictures to put in her photo album. She can put 6 pictures on each page. How many pages will be completely filled up when she is finished?
pages pictures per page total pictures
Number model with unknown: ______________________
Answer: _____________ Summary number model: _________________
3. Reuben walks a total of 35 blocks going to and from school each week. He always walks the same route. How many blocks does he walk each day?
days blocks per day total blocks
Number model with unknown: ______________________
Answer: _____________ Summary number model: _________________
4. Hassan is helping his teacher put 8 centimeter cubes into each cup for a math project. How many paper cups can he fill if there are 79 cubes?
days blocks per day total blocks
Number model with unknown: ______________________
Answer: _____________ Summary number model: _________________
*On the back of the page, explain the connection between the Multiplication/Division Diagrams and the number models. 6.1
Name _________________________ Date __________
*
*
6.2
Name _________________________ Date __________
6.2 Name ___________________________ Date _______________
Answer the following problems from journal pages 144-145.
1. There are 6 pencils in each pack. How many packs can be made from 96 pencils?
Number model: _________________________ Answer: _________
How many pencils are left over? ______________ pencils
Summary number model: ______________________
2. Phil has $79 to purchase books. Books cost $7 each. How many books can Phil buy?
Number model: _________________________ Answer: _________
How many dollars are left over? ______________ dollars
Summary number model: ______________________
5. 87 ÷ 3 = ______________
*Try the other problems on journal pages 144 and 145. 6.3
Name ___________________________ Date _______________
Answer the following problems from journal pages 144-145.1. There are 6 pencils in each pack. How many packs can be made from
96 pencils?
Number model: _________________________ Answer: _________
How many pencils are left over? ______________ pencils
Summary number model: ______________________
2. Phil has $79 to purchase books. Books cost $7 each. How many books can Phil buy?
Number model: _________________________ Answer: _________
How many dollars are left over? ______________ dollars
Summary number model: ______________________
5. 87 ÷ 3 = ______________
*Try the other problems on journal pages 144 and 145. 6.3 Name _________________________ Date __________
*Explain how to use ballpark estimates or the relationship between addition and subtraction to check your answers.
6.4
Name _________________________ Date __________
*Explain how to use ballpark estimates or the relationship between addition and subtraction to check your answers.
6.4 Name ___________________________ Date _______________
Look at the table on journal page 154. Make a bar graph to display the information. *Try to provide a title and label each axis.
6.5
Name ___________________________ Date _______________Look at the table on journal page 154. Make a bar graph to display the information. *Try to provide a title and label each axis.
6.5
Name _________________________ Date __________
Draw one angle that measures less than 90° and one angle that measures more than 90°.
Less than 90° Greater than 90°
*Measure each angle. 6.6
Name _________________________ Date __________
Draw one angle that measures less than 90° and one angle that measures more than 90°.
Less than 90° Greater than 90°
*Measure each angle. 6.6
Name _________________________ Date __________
In 3.45, what digit is in the hundredths place? _____
In 0.27, what digit is in the tenths place? _____
In 6.89, what is the value of the digit 8? _____
In 12.358, what is the value of the digit 2? _____
In 60.893, what digit is in the thousandths place? _____
In 83.591, what digit is in the tens place? _____
In 10.005, what digit is in the tenths place? _____
*In 2.6074, what is the value of the digit 4? _____
*In 26.0801, what is the value of the digit 1? _____
6.7
Name _________________________ Date __________
In 3.45, what digit is in the hundredths place? _____
In 0.27, what digit is in the tenths place? _____
In 6.89, what is the value of the digit 8? _____
In 12.358, what is the value of the digit 2? _____
In 60.893, what digit is in the thousandths place? _____
In 83.591, what digit is in the tens place? _____
In 10.005, what digit is in the tenths place? _____
*In 2.6074, what is the value of the digit 4? _____
*In 26.0801, what is the value of the digit 1? _____
6.7
Name _________________________ Date __________
Look at the map of Ireland on journal page 161 and the map of a campground on journal page 162. Compare the grid systems on the maps.
6.8
Name _________________________ Date __________
Look at the map of Ireland on journal page 161 and the map of a campground on journal page 162. Compare the grid systems on the maps.
6.8
Name _________________________ Date __________
Mrs. Moy’s students are folding paper cranes for an art project. Each of her 27 students is assigned to make at least 15 paper cranes. What is the least number of cranes the class will have for the project?
Number model with unknown: ___________________________
Answer: ____________ paper cranes
Summary number model: ____________________________
*Check your answer using strategies you have learned.
6.9
Name _________________________ Date __________
Mrs. Moy’s students are folding paper cranes for an art project. Each of her 27 students is assigned to make at least 15 paper cranes. What is the least number of cranes the class will have for the project?
Number model with unknown: ___________________________
Answer: ____________ paper cranes
Summary number model: ____________________________
*Check your answer using strategies you have learned.
6.9 Name ___________________________ Date _______________
1. Raul baked 96 cupcakes. He wants to divide them evenly among 3 bake saletables. How many cupcakes should he put on each table?
Number model with unknown: _____________________
Answer: ___________ cupcakes
How many cupcakes will be left over? ________ cupcakes
Summary number model: _____________________
2. The library has boxes to store 132 videotapes. Each box holds 8 tapes. How many boxes will be completely filled?
Number model with unknown: _____________________
Answer: ___________ boxes
How many videotapes will be left over? ________ videotapes
Summary number model: _____________________
*Try the similar problems on journal page 167. 6.10
Name ___________________________ Date _______________
1. Raul baked 96 cupcakes. He wants to divide them evenly among 3 bake saletables. How many cupcakes should he put on each table?
Number model with unknown: _____________________
Answer: ___________ cupcakes
How many cupcakes will be left over? ________ cupcakes
Summary number model: _____________________
2. The library has boxes to store 132 videotapes. Each box holds 8 tapes. How many boxes will be completely filled?
Number model with unknown: _____________________
Answer: ___________ boxes
How many videotapes will be left over? ________ videotapes
Summary number model: _____________________
*Try the similar problems on journal page 167. 6.10
Name _________________________ Date __________
*How would you shade 2/3 of the hexagon? Shade with your pencil.
7.1
Name _________________________ Date __________
*How would you shade 2/3 of the hexagon? Shade with your pencil.
7.1
Name _________________________ Date __________
Solve.1/3 of 12 = _____ *2/3 of 12 = _____ *5/3 of 12 = _____
1/5 of 15 = _____ *3/5 of 15 = _____ *7/5 of 15 = _____
1/4 of 36 = _____ *3/4 of 36 = _____ *6/4 of 36 = _____
1/8 of 32 = _____ *5/8 of 32 = _____ *9/8 of 32 = _____
1/6 of 24 = _____ *4/6 of 24 = _____ *13/6 of 24 = _____
7.2
Name _________________________ Date __________
Solve.1/3 of 12 = _____ *2/3 of 12 = _____ *5/3 of 12 = _____
1/5 of 15 = _____ *3/5 of 15 = _____ *7/5 of 15 = _____
1/4 of 36 = _____ *3/4 of 36 = _____ *6/4 of 36 = _____
1/8 of 32 = _____ *5/8 of 32 = _____ *9/8 of 32 = _____
1/6 of 24 = _____ *4/6 of 24 = _____ *13/6 of 24 = _____
7.2
Name _________________________ Date __________
Circle the word or phrase that best describes the probability of picking a 5 from a bag of 52 regular playing cards without looking.
impossible very unlikely even chance likely
Explain why you chose your answer:
*Express the probability of the event as a fraction: ______ 7.3
Name _________________________ Date __________
Circle the word or phrase that best describes the probability of picking a 5 from a bag of 52 regular playing cards without looking.
impossible very unlikely even chance likely
Explain why you chose your answer:
*Express the probability of the event as a fraction: ______ 7.3
Name _________________________ Date __________
Look at Shapes A, B, and C on journal pages 194-196.
Explain why the same pattern blocks take on different fractional values for each of the shapes.
7.4
Name _________________________ Date __________
Look at Shapes A, B, and C on journal pages 194-196.
Explain why the same pattern blocks take on different fractional values for each of the shapes.
7.4
Name ____________________________ Date ______________
*Try showing multiple solutions for each drawing. 7.5
Name ____________________________ Date ______________
*Try showing multiple solutions for each drawing. 7.5
Name _________________________ Date __________
7.6
Name _________________________ Date __________
7.6
Name _________________________ Date __________
Margot says the value of a fraction does not change if you do the same thing to the numerator and the denominator. Margot says that she added 2 to the numerator and the denominator in 1/4 and got 3/6.
1 + 2 34 + 2 6
Therefore, she says that 1/4 = 3/6. How could you explain or show Margot that she is wrong?
7.7
Name _________________________ Date __________
Margot says the value of a fraction does not change if you do the same thing to the numerator and the denominator. Margot says that she added 2 to the numerator and the denominator in 1/4 and got 3/6.
1 + 2 34 + 2 6
Therefore, she says that 1/4 = 3/6. How could you explain or show Margot that she is wrong?
7.7
Name _________________________ Date __________
Go to journal page 203 and complete Problems 1-4 and problems 7 and 8.
*Try Problems 5 and 6.
7.8
Name _________________________ Date __________
Go to journal page 203 and complete Problems 1-4 and problems 7 and 8.
*Try Problems 5 and 6.
7.8
Name _________________________ Date __________
Which fraction is larger: 2/5 or 2/7? _______
Explain how you know.
7.9
Name _________________________ Date __________
Which fraction is larger: 2/5 or 2/7? _______
Explain how you know.
7.9
Name _________________________ Date __________
Play five rounds of Top-It. Record your number sentence and your opponent’s number sentence. Write >, <, or = to compare the number sentences.
Round Player 1 >, <, = Player 2Sample 4 + 6 = 10 < 8 + 3 = 11
12345
7.10
Name _________________________ Date __________
Play five rounds of Top-It. Record your number sentence and your opponent’s number sentence. Write >, <, or = to compare the number sentences.
Round Player 1 >, <, = Player 2Sample 4 + 6 = 10 < 8 + 3 = 11
12345
7.10
Name ____________________________ Date ______________
There are 5 red and 5 blue blocks in the bag.What are the chances of picking a red block? _________A blue block? __________ A green block? ___________
There are 3 red, 1 blue, and 2 green blocks in the bag.What are the chances of picking a red block? _________A blue block? __________ A green block? ___________
There are 25 red, 25 blue, 20 green, and 30 yellow blocks in the bag.What are the chances of picking a red or a blue block? _________A green block? __________ A yellow block? ___________
*Try to write each fraction in its simplest form. 7.11
Name ____________________________ Date ______________
There are 5 red and 5 blue blocks in the bag.What are the chances of picking a red block? _________A blue block? __________ A green block? ___________
There are 3 red, 1 blue, and 2 green blocks in the bag.What are the chances of picking a red block? _________A blue block? __________ A green block? ___________
There are 25 red, 25 blue, 20 green, and 30 yellow blocks in the bag.What are the chances of picking a red or a blue block? _________A green block? __________ A yellow block? ___________
*Try to write each fraction in its simplest form. 7.11
Name _________________________ Date __________
You have completed the cube-drop experiment from journal page 215. How did your predicted outcomes for the experiment compare with the actual results?
*What might happen if the cube were dropped 500 times?
7.12
Name _________________________ Date __________
You have completed the cube-drop experiment from journal page 215. How did your predicted outcomes for the experiment compare with the actual results?
*What might happen if the cube were dropped 500 times?
7.12
Name _________________________ Date __________
a. Lukasz drew a line segment that was 2 and 2/8 inches long. Then he extended it another 2 and 3/8 inches. How long is the line segment now?
_________ inches
*b. Sybil drew a line segment 3 and 1/8 inches long. Then she extended it another 2 and 3/4 inches. How long is the line segment now?
_________ inches 7.12a
Name _________________________ Date __________
a. Lukasz drew a line segment that was 2 and 2/8 inches long. Then he extended it another 2 and 3/8 inches. How long is the line segment now?
_________ inches
*b. Sybil drew a line segment 3 and 1/8 inches long. Then she extended it another 2 and 3/4 inches. How long is the line segment now?
_________ inches 7.12a
Name _________________________ Date __________
Give decimal and percent equivalents for each fraction.50/100 = _____ = _____ 87/100 = _____ = _____
23/100 = _____ = _____ 42/100 = _____ = _____
1/100 = _____ = _____ 8/100 = _____ = _____
7/10 = _____ = _____ 5/10 = _____ = _____
*1/4 = _____ = _____ *1/5 = _____ = _____
*4/5 = _____ = _____ *3/4 = _____ = _____
8.1
Name _________________________ Date __________
Give decimal and percent equivalents for each fraction.50/100 = _____ = _____ 87/100 = _____ = _____
23/100 = _____ = _____ 42/100 = _____ = _____
1/100 = _____ = _____ 8/100 = _____ = _____
7/10 = _____ = _____ 5/10 = _____ = _____
*1/4 = _____ = _____ *1/5 = _____ = _____
*4/5 = _____ = _____ *3/4 = _____ = _____
8.1
Name _________________________ Date __________
Complete Math Boxes Problem 1 on journal page 226.
*Write a number model for your work: __________________
8.2
Name _________________________ Date __________
Complete Math Boxes Problem 1 on journal page 226.
*Write a number model for your work: __________________
8.2
Name ____________________________ Date ______________Find the area of each polygon. (1 box = 1 cm2)
*Complete the rest of journal page 227. 8.3
Name ____________________________ Date ______________Find the area of each polygon. (1 box = 1 cm2)
*Complete the rest of journal page 227. 8.3
Name _________________________ Date __________
Explain how you found the area of your hand.
8.4
Name _________________________ Date __________
Explain how you found the area of your hand.
8.4
Name _________________________ Date __________
*Try making a number model that includes parentheses 8.5
Name _________________________ Date __________
*Try making a number model that includes parentheses 8.5
Name _________________________ Date __________
Name _________________________ Date __________
8.6
*
*
*
*
Name _________________________ Date __________
8.7
Name _________________________ Date __________
8.7
Name _________________________ Date __________
Play Grab Bag and record five rounds here.
*How could you earn the most possible points for each turn? 8.8
Name _________________________ Date __________
Play Grab Bag and record five rounds here.
*How could you earn the most possible points for each turn? 8.8
Name __________________________ Date ______________
*3. Imagine that a WILD card allowed Katrina to name any fraction equivalent to 3/4. Write two fractions that she could name.
________ ________ 9.1
Name __________________________ Date ______________
*3. Imagine that a WILD card allowed Katrina to name any fraction equivalent to 3/4. Write two fractions that she could name.
________ ________
9.1Name __________________________ Date ______________
9.2
Name __________________________ Date ______________
9.2 Name ______________________ Date ___________
For each fraction, write the equivalent decimal and percent.41/100 = _____ = _____ 93/100 = _____ = _____
9/10 = _____ = _____ 6/100 = _____ = _____
1/4 = _____ = _____ 3/4 = _____ = _____
1/5 = _____ = _____ 4/5 = _____ = _____
*4/2 = _____ = _____ *1/20 = _____ = _____
*11/20 = _____ = _____ *9/25 = _____ = _____
9.3
Name ______________________ Date ___________
For each fraction, write the equivalent decimal and percent.41/100 = _____ = _____ 93/100 = _____ = _____
9/10 = _____ = _____ 6/100 = _____ = _____
1/4 = _____ = _____ 3/4 = _____ = _____
1/5 = _____ = _____ 4/5 = _____ = _____
*4/2 = _____ = _____ *1/20 = _____ = _____
*11/20 = _____ = _____ *9/25 = _____ = _____
9.3Name ______________________ Date ___________
9.4
Name ______________________ Date ___________
9.4Name ______________________ Date ___________
*Try to express the remainder as a fraction. 9.5
Name ______________________ Date ___________
*Try to express the remainder as a fraction. 9.5
Name ______________________ Date ___________
9.6
*
*
Name ______________________ Date ___________
9.6Name ______________________ Date ___________
9.7
*
*
Name ______________________ Date ___________
9.7Name ______________________ Date ___________
For each problem below, the multiplication has been done correctly, but the decimal point is missing in the answer. Write a number model to show how you estimated the answer. Then correctly place the decimal point in the answer.
a. 23 x 7.3 = 1 6 7 9 Number model: ___________________
b. 6.91 x 82 = 5 6 6 6 2 Number model: ___________________
c. 5,203 x 12.6 = 6 5 5 5 7 8 Number model: ______________
*d. 0.38 x 51 = 1 9 3 8 Number model: ___________________
9.8
Name ______________________ Date ___________
For each problem below, the multiplication has been done correctly, but the decimal point is missing in the answer. Write a number model to show how you estimated the answer. Then correctly place the decimal point in the answer.
a. 23 x 7.3 = 1 6 7 9 Number model: ___________________
b. 6.91 x 82 = 5 6 6 6 2 Number model: ___________________
c. 5,203 x 12.6 = 6 5 5 5 7 8 Number model: ______________
*d. 0.38 x 51 = 1 9 3 8 Number model: ___________________
9.8Name ______________________ Date ___________
9.9
*
Name ______________________ Date ___________
9.9
*
Name ________________________ Date ___________
Play five rounds of Over & Up Squares. Record your data here.
Rd. Over x-coordinate
, Up y-coordinate
Score
12345
Total Score
*How might you earn the most points?
10.1
Name ________________________ Date ___________
Play five rounds of Over & Up Squares. Record your data here.
Rd. Over x-coordinate
, Up y-coordinate
Score
12345
Total Score
*How might you earn the most points?
10.1
Name ________________________ Date ___________
Circle the greater fraction in each fraction pair3/4 or 1/4 5/8 or 2/8 6/9 or 6/7
Explain your strategy.
2/3 or 1/2 4/6 or 1/2 3/9 or 1/2
Explain your strategy.
* 8/9 or 5/6 *6/7 or 4/5 *1/7 or 2/8
*Explain your strategy on the back of the sheet.
10.2
Name ________________________ Date ___________
Circle the greater fraction in each fraction pair3/4 or 1/4 5/8 or 2/8 6/9 or 6/7
Explain your strategy.
2/3 or 1/2 4/6 or 1/2 3/9 or 1/2
Explain your strategy.
* 8/9 or 5/6 *6/7 or 4/5 *1/7 or 2/8
*Explain your strategy on the back of the sheet.
10.2Name ________________________ Date ___________
10.3
Name ________________________ Date ___________
10.3Name ________________________ Date ___________
Describe the patterns you see in Problems 3 and 4 on journal page 279.
10.4
Name ________________________ Date ___________
Describe the patterns you see in Problems 3 and 4 on journal page 279.
10.4
Name ___________________________ Date ______________
10.5
Name ___________________________ Date ______________
10.5Name ________________________ Date ___________
10.6
Name ________________________ Date ___________
10.6
Name ________________________ Date ___________
11.1
Name ________________________ Date ___________
11.1Name ________________________ Date ___________
11.2
Name ________________________ Date ___________
11.2
Name ________________________ Date ___________
*b. 86 _____, _____, _____, _____, _____, _____, _____, _____, _____
11.3
Name ________________________ Date ___________
*b. 86 _____, _____, _____, _____, _____, _____, _____, _____, _____
11.3
Name ________________________ Date ___________
Solve:2 x 4 = _____ 30 x 9 = _____ 90 x 90 = _____
5 x 7 = _____ 4 x 80 = _____ 80 x 70 = _____
10 x 6 = _____ 60 x 40 = _____ 60 x 900 = _____
20 ÷ 4 = _____ 42 ÷ 7 = _____ 48 ÷ 6 = _____
36 ÷ 6 = _____ 64 ÷ 8 = _____ 63 ÷ 7 = _____
45 ÷ 5 = _____ 28 ÷ 4 = _____ 72 ÷ 9 = _____
11.4
Name ________________________ Date ___________
Solve:2 x 4 = _____ 30 x 9 = _____ 90 x 90 = _____
5 x 7 = _____ 4 x 80 = _____ 80 x 70 = _____
10 x 6 = _____ 60 x 40 = _____ 60 x 900 = _____
20 ÷ 4 = _____ 42 ÷ 7 = _____ 48 ÷ 6 = _____
36 ÷ 6 = _____ 64 ÷ 8 = _____ 63 ÷ 7 = _____
45 ÷ 5 = _____ 28 ÷ 4 = _____ 72 ÷ 9 = _____
11.4Name ________________________ Date ___________
*Try Problems 3, 4, 6, and 7 on journal page 302.11.5
Name ________________________ Date ___________
*Try Problems 3, 4, 6, and 7 on journal page 302.11.5
Name ________________________ Date ___________
*What is the degree of rotation for each figure?
11.6
Name ________________________ Date ___________
*What is the degree of rotation for each figure?
11.6Name ________________________ Date ___________
*Include a number model to the right of each equality to explain your work.11.7
Name ________________________ Date ___________
*Include a number model to the right of each equality to explain your work.11.7
Name _________________________ Date ___________
*d. -3/4 _____ -0.78
*e. -13 ½ _____ -13
12.1
Name _________________________ Date ___________
*d. -3/4 _____ -0.78
*e. -13 ½ _____ -13
12.1Name _________________________ Date ___________
Describe the pattern in the rate table in Problem 3 on journal page 312.
12.2
Name _________________________ Date ___________
Describe the pattern in the rate table in Problem 3 on journal page 312.
12.2Name _________________________ Date ___________
*2. In Ottawa, Canada, it rains or snows _____ mm during a typical month.
12.3
Name _________________________ Date ___________
Play Name that Number and record one round here. Use parentheses in your number sentences. *See if you can use nested parentheses in your number sentences.
12.4
Name _________________________ Date ___________
Play Name that Number and record one round here. Use parentheses in your number sentences. *See if you can use nested parentheses in your number sentences.
12.4Name _________________________ Date ___________
12.5
Name _________________________ Date ___________
12.5
Name _________________________ Date ___________
Solve:
4 x 7 = _____ 8 x 9 = _____ *20 x 90 = _____
5 x 4 = _____ 7 x 9 = _____ *50 x 60 = _____
6 x 7 = _____ 8 x 8 = _____ *80 x 70 = _____
12.6
Name _________________________ Date ___________
Solve:
4 x 7 = _____ 8 x 9 = _____ *20 x 90 = _____
5 x 4 = _____ 7 x 9 = _____ *50 x 60 = _____
6 x 7 = _____ 8 x 8 = _____ *80 x 70 = _____
12.6
