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Attachment 1 (~)

Pre-Assessment Math

Term 3

Name: _____________ Class: 4-5 ______ Date: ______________

• Read the instruction carefully

• Answer each question correctly

1. Identify and describe how this pattern extends!

a. 28, 25, 22, 19, 16, 13

Explain:

b. 9, 12, 15, 18, 21, 24

Explain:

2. Marcos reads each day. What is the rule for the pattern shown in his reading log? Then, fill out the missing column!

|Reading Log |

|Day |1 |2 |3 |4 |5 |6 |7 |

|Time (min) |30 |60 |90 | | | | |

3. Write an algebraic expression for the following. Let the variable be x

a. Write sum of 6 and a number ________________

b. Ten times a number ________________

c. The difference of 5 and a number ________________

d. The product of 3 and a number ________________

e. Nine less than 17 ________________

4. Find the value of each expression if x = 2 and m = 8

a. x + 3 = _________

b. 18 – m = _________

c. m – (1 + 4) = ________

d. (m – 2) + x = __________

5. Armand has 13 more books than Sara.

a. Define a variable and what it represents towards the problem

b. Write an expression of books that Armand has

c. If Sara has 8 books, how many books does Armand have?

6. What is the value of y

67 + y = 121

7. What is the value of m

100. – m = 73

|Runs Scored |

|Team |Runs |

|Home |? |

|Away |62 |

8. The home baseball team scored 3 times as many runs as the away team in one season. The table shows how many runs the away team scored. How many runs did the home team score?

Attachment 1 (^)

Pre-Assessment Math

Term 3

Name: _____________ Class: 4-5 ______ Date: ______________

• Read the instruction carefully

• Answer each question correctly

1. Carla sells 3 pictures frames for $15 and 4 picture frames for $20. If the pattern for the price of the frame remains the same, how much will Carla make if she sells 6 frames?

|Number of frames | | |3 |4 | | |

|Cost | | |$15 |$20 | | |

2. Evaluate each expression if x = 5 and y = 6

a. x + 6 = …

b. 12 + y = …

3. Evaluate each expression if x = 3 and y =8

a. 4x = …

b. 3y = …

c. 5x = …

4. A roller coaster can hold n passengers. In a half hour, the roller coaster made 6 full runs. The roller coaster can hold 28 passengers. How many passengers rode in the half hour?

5. A pizza shop offers $4 discount for any order over $10. Fill out the column below based on pattern you find!

|Input |Output |

|$11 |$7 |

|$12 |$8 |

|$14 | |

|$16 | |

|$18 | |

|$20 | |

6. Arizona, Georgia, and New Mexico are among the nation’s top pecan producers. Most pecan trees are 100 to 140 feet tall.

a. A pecan tree was 47 feet tall. In ten years, it grew f feet.

• Write down the expression of the problem

• If the tree grew 21 feet, what was the new height of the tree?

b. Scott planted 38 pecan trees on Monday. On Tuesday, he planted y trees.

• Write down the expression of the problem

• If he planted 46 trees on Tuesday, how many pecan trees did he plant in all?

7. The home baseball team scored 4 times as many runs as the away team in one season. The table shows how many runs the away team scored. How many runs did the home team score?

|Runs Scored |

|Team |Runs |

|Home |? |

|Away |64 |

8. Explain whether the expressions 3n and n + n + n have the same value for any value of n!

Attachment 2 (~)

Math Workshop

Name: _____________ Class: 4-5 ______ Date: _____________

Pattern and missing numbers

1. Identify, describe, and extend each pattern up to next three terms

a. 9, 12, 15, 18, 21, … , … , …

Explain:

b. 3, 5, 7, 9, 11, … , … , …

Explain:

c. 5, 6, 4, 5, 3, … , … , …

Explain:

2. Carla sells 3 pictures frames for $15 and 4 picture frames for $20. If the pattern for the price of the frame remains the same, how much will Carla make if she sells 6 frames?

|Number of frames | | |3 |4 | | |

|Cost | | |$15 |$20 | | |

Variable and Expression

3. Write an algebraic expression for the following. Let the variable be x

Write sum of 6 and a number ________________

Ten times a number ________________

The difference of 5 and a number ________________

The product of 3 and a number ________________

Nine less than 17 ________________

4. Write an expression for each real-world situation.

a. Naomi bought 12 pens. Wu bought t more pens than Naomi. How many pens did Wu buy?

b. Laura had y dollars. Her mom gave her $15. How much money did Laura have?

c. Lola has 2 boxes of crayons. Each box contains the same number of crayons. The total number of crayon is equal to 2 times the number of crayons in each box.

5. Evaluate each expression if x = 5 and y = 6

c. x + 6 = …

d. 12 + y = …

e. y + 18 = …

f. x + 29 = …

6. Evaluate each expression if x = 3 and y =8

d. 4x = …

e. 3y = …

f. 5x = …

g. 6y = …

h. 9x = …

7. A tomato plant is t inches tall. In a month, it grows 3 inches taller.

a. Write down the expression of the problem

b. If t = 18, how tall is the tomato plant?

8. Carmen went to a water park. She spent $15 on admission and a certain amount on food.

a. Write down the expression of the problem

b. If she spent $12 on food, how much did Carmen spend in all?

9. During one season, the Tigers lost 26 grams than they won.

a. Write down the expression of the problem

b. If the Tigers won 68 games, how many games did they lose?

10. Cole answered 11 questions correctly on a quiz. Each question was worth q points.

a. Write the expression of the problem

b. If q = 3, how many points did Cole learn?

11. Ana mowed p lawns. She earned $10 for every lawn she mowed.

a. Write the expression of the problem

b. If p = 5, how much money did Ana earn?

12. A roller coaster can hold n passengers. In a half hour, the roller coaster made 6 full runs.

a. Write the expression of the problem

b. The roller coaster can hold 28 passengers. How many passengers rode in the half hour?

13. Write a multiplication expression that, when it is evaluated, has a product of 36. Explain your reasoning.

Attachment 2 (^)

Math Workshop

Name: _____________ Class: 4-5 ______ Date: _____________

Pattern

1. Identify, describe, and extend each pattern up to next five terms

a. 26, 30, 34, … , … , … , … , …

Explain:

b. 3, 6, 12, 15, … , … , … , … , …

Explain:

2. It is recommended to drink 64 fluid ounces of water each day. Below is a pattern to show how many days it would take to drink 448 fluid ounces. Explain how another pattern could be used to find the same answer.

|Recommended Water in a Week |

|Day |1 |2 |3 |4 |5 |6 |7 |

|Amount (fl oz) | | | | | | |448 |

3. A pizza shop offers $3 discount for any order over $10. Fill out the column below based on pattern you find!

|Input |Output |

|$11 |$8 |

|$12 |$9 |

|$14 | |

|$16 | |

|$18 | |

|$20 | |

Variable and Expression

Write an expression for each real-world problem. Then evaluate it!

4. Naomi bought 12 pens. Wu bought t more pens than Naomi.

a. Write down the expression of the problem

b. If t = 9, how many pens did Wu buy?

5. Laura had y dollars. Her mom gave her $15. If y = 12, how much money does Laura have?

6. Josiah’s grade on his last Math test was 10 points higher than his first test. On the first test, he scored p points.

a. Write down the expression of the problem

b. If p = 23, how many points did he score on the last test?

7. Charlie and a friend each want to buy a piece of pizza, a drink, and an ice cream cone. Charity Charlie has $10 to pay for him and his friend’s meal. Does he have enough money? Explain!

|Pizza |$2.75 |

|Drink |$0.95 |

|Ice Cream Cone |$1.95 |

8. Arizona, Georgia, and New Mexico are among the nation’s top pecan producers. Most pecan trees are 100 to 140 feet tall.

a. A pecan tree was 47 feet tall. In ten years, it grew f feet.

• Write down the expression of the problem

• If the tree grew 21 feet, what was the new height of the tree?

c. Scott planted 38 pecan trees on Monday. On Tuesday, he planted y trees. If he planted 46 trees on Tuesday, how many pecan trees did he plant in all?

a. The home baseball team scored 3 times as many runs as the away team in one season. The table shows how many runs the away team scored. How many runs did the home team score?

|Runs Scored |

|Team |Runs |

|Home |? |

|Away |62 |

b. Explain whether the expressions 2n and n + n have the same value for any value of n!

Attachment 3 (~)

Math Workshop

Name: _____________ Class: 4-5 ______ Date: _____________

Function table

Complete each function table below!

1. Desmond has 9 more model airplanes than his brother.

|Input (x) |x + 9 |Output |

|6 | | |

|9 | | |

|12 | | |

2. Petra walked 6 less block than Natalie

|Input (x) |x - 6 |Output |

|15 | | |

|17 | | |

|19 | | |

3. Each comic book costs $4

|Input (x) |4x |Output |

|5 | | |

|6 | | |

|7 | | |

4. Jared ate half of his pretzels

|Input (x) |x : 2 |Output |

|12 | | |

|14 | | |

|16 | | |

5. Hiro charges $8 for each dog he washes. Find the function rule. Then make a function table to find how much money he would make if he washes 4, 5, or 6 dogs.

Equation

Example:

Jack had some goldfish, and then he bought 2 more. Now he has 8 goldfish. Solve the equation x + 2 = 8 to find how many goldfish Jack had at firs.

Step 1: Model the equation

Place the cup on the left side to show x

and two counters to show 2. =

Place 8 counters on the right side to show 8.

Step 2: Solve the equation

Think how many counters need to be in the cup

so there is an equal number of counters =

on each side of the mat

On the picture, it is shown that the numbers of counter to add is 6. Therefore, x = 6.

Jack had 6 goldfish at first.

1.

=

2.

=

Solve each equation using cup and counters model

3. Calvin added 3 model cars to his collection. Now he has 12 model cars. Use the equation

x + 3 = 12 to find how many model cars he started with!

4. Mrs. Jones planted 5 rose bushes. Then she planted 5 rose bushes. Then she planted some more rose bushes. If she planted a total of 11 rose bushes, how many more roses bushes did Mrs. Jones plant? Use the equation 5 + x = 11

Write an equation for each problem situation. Then solve each problem situation.

5. Melissa had x dollars in her wallet. Her mother gave her $5 more. Melissa now has $20. How much money did Melissa start with?

6. A bakery sold a total of 14 pies on Wednesday and Thursday. If the bakery sold 6 pies on Wednesday, how many pies did the bakery sell on Thursday?

Attachment 3 (^)

Math Workshop

Name: _____________ Class: 4-5 ______ Date: _____________

Function table

1. Aidan scored 9 less points than Vince. Make the function rule and fill out the missing column!

|Input (x) | |Output |

|19 | | |

|20 | | |

|21 | | |

2. Each box weighs 10 pounds. Make the function rule and fill out the missing column!

|Input (x) | |Output |

|3 | | |

|5 | | |

|7 | | |

3. Hiro charges $8 for each dog he washes. Fins the function rule. Then make a function table to find how much money he would make if he washes 4, 5, or 6 dogs.

4. Ginny had a coupon for $5 off any item at Music Mania Store. Find the final cost of items that cost $20, $25, $30

5. A shop sells trail mix for $3.75 per pound. You have a coupon or $0.75 off each pound of trail mix. Find the cost of 4, 5, and 6 pounds of trail mix. What is the cost of 7 pounds of trail?

Equation

6. Choose at least 8 equations below to solve and write your answer next to the equation

|x + 1 = 5 |3 + a = 6 |1 = y – 8 |2 = n – 4 |

|b - 13 = 1 |t – 12 = 4 |11 = z + 2 |13 = 5 + k |

|d – 2 = 18 |7 + x = 16 |19 = c + 13 |15 = m – 5 |

7. Explain why it does not matter on which side of the equal sign the variable is located.

Write an equation based on each problem and then solve it.

8. A box contained some snack bars. Tyrone ate 4 snack bars. Now there are 8 snacks left. How many snack bars were there at the beginning?

9. Leroy bought 2 comic books. Now he has 11 comic books in all. How many comic books did Leroy start with?

10. Mrs. Oxley had some glue sticks. She used 8 glue sticks on an art project. Now she has 6 glue sticks left. How many glue sticks did she have at first?

11. In one season, the girl’s volleyball team won 16 games. If they played a total of 30 games that season, how many games did they lose?

12. Mr. Andreas went to a shop and saw the price of a pair of gloves is $7. If he had to pay $49, how many pair of gloves did he buy?

13. Eugene’s team scored 34 points in a game. He scored 12 of the points. How many points did the rest of the team score?

14. Explain why the equation n + 7 = 15 has the same solution as 15 – n = 7

Attachment 4

Round Robin

1. Number pattern

2, 6, 14, 30, …

a. Explain the pattern

b. Find the next 10 terms

2. Function table

Paperback books cost $5 each at Book Smart.

a. Find the function rule.

b. Make a function table

c. Find the cost of buying 3, 4, and 5 books at Book Smart!

3. Equation

Jerome bought 3 paperback books from the local bookstore. The total cost of the books was $15. Each book costs the same book.

a. Find the equation of the problem

b. How much does it cost for each book?

d. How much does it cost for 5 books?

4. Equation

Katy had x dollars in her wallet. She gave 5 dollars to her sister and it made her money $17 left.

a. Find the equation of the problem

b. How much money did Katy have at first?

5. Function table

Martin’s fish tank has 5 less goldfish than Bill’s fish tank.

a. Find the expression of the problem

b. Copy and complete this function table

|Input (x) |(Expression) |Output |

|6 | | |

|12 | | |

|18 | | |

6. Number pattern

4, 9, 16, 25, …

a. Explain the pattern

b. Find the next 10 terms

Attachment 5 (~)

Individual Practice

Name: _____________ Class: 4-5 ______ Date: _____________

• Read the instruction carefully

• Answer each question correctly

1. Explain how these patterns extend and find the next 5 terms

a. 4, 9. 14, 19, … ,…

Explain:

b. 41, 34, 27, 20, …, …

Explain:

c. 12, 10, 13, 11, 14, …, …

Explain:

2. Solve each equation!

Choose 7 problems

|1 + a = 4 |d + 4 = 6 |6 + f = 10 |

|h + 8 = 15 |k + 10 = 17 |9 + n = 20 |

|4 – b = 2 |m – 5 = 6 |7 – r = 2 |

|W – 8 = 12 |9 = 15 – y |11 = z – 12 |

3. Write and solve an equation for each situation!

a. A number plus 8 equals 18

Equation:

Solution:

b. The sum of 11 and a number is 35

Equation:

Solution:

c. The sum of 11 and a number is 35

Equation:

Solution:

4. Some mammals live as ling as humans. The table shows the average number of years some mammals can live

|Mammals with Longest Lives |

|Mammal |Years Lived |

|Killer whale |90 |

|Blue whale |80 |

|Human |76 |

|African elephant |70 |

|GOrilla |35 |

a. Write an equation to represent a killer whale’s span minus x years equals the African elephant’s life span

b. Find the value of x

c. Write and equation to represent a human’s life span plus another mammal’s life span (y) equals 111.

d. What is the value of y?

5. A giant panda bear eats 84 pounds of bamboo a day. Fill out the table to find out the total amount of bamboo the bear will eat in a week!

|Day |1 |2 | |4 |5 | |7 |

|Bamboo |84 | |252 |336 | |504 | |

6. Mei has 13 more books than Charlie.

a. Define a variable, and then write an expression for the number of books Mei has!

b. If Charlie has 7 books, how many books do Mei have?

7. Write an equation that describes each pattern and then fill out the table

|Input |5 |9 |13 |17 | | |

|Output |9 |13 |17 | | | |

8. Write an equation that describes each pattern and then fill out the table

|Input |11 |16 |21 |26 | | |

|Output |2 |7 |12 | | | |

9. The amounts a bus company charges to take students on a field trip are shown at the table. How much would it cost for 30, 40, and 50 students to go on a fieldtrip?

|Students |Cost ($) |

|10 |$60 |

|20 |$70 |

|30 | |

|40 | |

|50 | |

10. The table shows what a taxi company charges c for every m miles traveled.

|Taxi Rates |

|Input (m) |Output (c) |

|10 |$12 |

|15 |$17 |

|20 | |

|25 | |

|30 | |

11. Louis has four times as much money as Kyle.

a. Define a variable, and then write the equation of the situation

b. If Kyle ahs $8, how much money does Louis have?

12. A teacher has some boxes of pens. Each box contains 8 pens

a. Define a variable, and then write the equation of the situation

b. If the teacher has 9 boxes of pens, how many pens will the teacher have?

13. The state reptile of Illinois is the painted turtle. This turtle gets its name from the bottom of its shell that looks like it is painted.

|Painted Turtle Facts |

|Maximum length |9 inches |

|Maximum weight |3 pounds |

a. Write an expression for the total weight of n turtles

b. Find the total length of 4 turtles!

14. Sari makes bead necklaces. The table shows the number of blue beads and green beads Sari uses. [pic]

|Blue Beads |Green Beads |

|Input (j) |Output (k) |

|3 |1 |

|9 |3 |

|15 |5 |

|21 | |

|27 | |

|33 | |

a. Write an equation that describes the relationship between green beads and blue beads

b. How many green beads does Sari need if she is using 36 blue beads?

c. How many beads does Sari have in all if she has 9 green beads?

[pic]

Attachment 5 (^)

Individual Practice

Name: _____________ Class: 4-5 ______ Date: _____________

• Read the instruction carefully

• Answer each question correctly

1. Evaluate each expression if x = 5 and y = 6

a. x + 6 = …

b. 12 + y = …

c. y + 18 = …

d. x + 29 = …

2. Evaluate each expression if x = 3 and y = 8

a. 4x = …

b. 3y = …

c. 5x = …

d. 6y = …

3. Write an expression for each phrase

a. 10 more than f _______________

b. 50 less than d _______________

c. Twice k _______________

d. 8 times p _______________

e. Half of j _______________

4. Josiah’s grade on his last Math test was 10 points higher than his first Math test. On the first test, he scored p point.

a. Write down the expression of that condition!

b. If p = 23 points on the last test, what was his score?

5. A roller coaster can hold n passengers. In a half hour, the roller coaster made 6 full runs.

a. Write down the expression of that condition!

b. If the roller coaster can hold 28 passengers, how many passengers rode in the half hour?

6. The table shows how the ticket prices to water parks and plays have increased over the years.

|Year |Water Park |Plays |

|1990 |$5 |$27 |

|1995 |$10 |$32 |

|2000 |$15 |$37 |

|2005 |$20 |$42 |

Based on the table, explain the pattern between the ticket prices!

7. Members of the field hockey team washed cars to raise money for new equipments. They charged $9 for large cars and $6 for small cars. They raised a total of $339.

a. Write the expression of this situation! (hint: you might use more than one variables)

b. If they washed 21 large cars, how many small cars did they wash?

For number 7-9, read each problem and write an expression for each real-world situation. Then evaluate!

8. The length of Kiki’s room is 3 feet more than the width w of her room.

a. What is the expression?

b. The width of her room is 9 feet. What is the length of her room

9. Franklin received $35 for his birthday. Then he bought a movie ticket for $6. How much money does he have now?

10. Curtis wants to buy some DVDs. Each DVD costs $15. If he has $60 dollars to spend how many DVDs can he buy?

11. The cost of renting a popcorn machine is $8 per hour plus $30.

a. What is the function rule?

b. Make a function table based on the function rule to find the cost of renting for 4, 5, and 6 hours!

|Input (hours) |Function rule |Output ($) |

| |___________ | |

|4 | | |

|5 | | |

|6 | | |

12. Giselle bought 3 DVDs that each costs $12. She also had a coupon for $10 discount from her total purchase.

a. Write the expression of the situation

b. How much should she pay for those 3 DVDs after discount?

13. Look at following information!

|Box size |Number of bottle of water |

|Small |32 |

|Large |64 |

a. Bert and 3 friends divide a large box of water bottles. How many bottles does each friend receive?

b. A coach buys one small and one large box of bottled water. She divides the bottles evenly among 8 players. How many bottles will each player receive?

14. The Philadelphia Zoo is America’s oldest zoo. It opened in 1874. Today, the zoo features over 1,600 animals from around the world.

|Philadelphia Zoo Admission Prices |

|Ticket |Price ($) |

|Adult |9 |

|Senior (62+) |7 |

|Youth (3-11) |7 |

a. Mrs. Hawkins bought 1 adult ticket and y youth tickets which cost $37 in all.

• Write the equation based on that situation!

• How many tickets did Mrs. Hawkins buy?

b. The Heppner family bought 2 adult tickets, 4 youth tickets, and x senior tickets which cost $67 in all.

• Write the equation based on that situation!

• How many senior tickets did the family buy?

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Write the equation for the model. Then solve!

Write the equation for the model. Then solve!

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