The Public SchoolsWest Orange, New Jersey

MATHEMATICS DEPARTMENT

Grade 6 Summer AssignmentThis Assignment must be completed by all students that will be

enrolled in Math 6 at EMS on Septembers 2021

Due Date: Thursday, September 9, 2021.

(No Late assignments will be accepted) Completion counts for 40%In-class assessment (No later than Friday, Sept. 17) counts for 60%Completion and in-class assessment counts for one test grade towards first marking period grade; not to exceed 10% of first marking period grade. Scientific calculators may be used.

Contact Information

Before July 1, 2021: Emad Abu-Hakmeh: eabuhakmeh@westorangeschools.org 973-669-5301 X31543 On or after July 1, 2021: Dr. Jessica Nuzzi: Jnuzzi@westorangeschools.org

NAME: __________________________ DATE: _______________

TEACHER: _______________________ Period: _______________

SUMMER 2021

Future Math 6 Students

Summer Activity Packet

Name: .

Directions:

**THIS ASSIGNMENT WILL BE GRADED BY YOUR MATH TEACHER IN SEPTEMBER**

This packet contains a review of skills you learned in 5th grade math that you will need to understand going into 6th grade math.

Remember, if you need help with anything in this packet, schedule an appointment to meet with a math teacher over the summer.

The last page of this packet provides resources for you to use to refresh your memory about each topic.

You may choose how you complete this assignment

a) Electronically via Google Slides

(click this link for the slides - “file” → “make a copy” to have an editable copy)

b) Print this packet and write on it

c) Write answers clearly and neatly on notebook paper

Decimal Puzzle

1. Three and forty-four hundredths _____________________

2. Four and six tenths _____________________

3. Forty-one and seven tenths _____________________

4. Four thousand sixteen and thirty-two hundredths _____________________

5. Nine hundred forty-seven and thirty-six hundredths _____________________

6. Six and five tenths _____________________

7. Fifty-six and four tenths _____________________

8. One and thirty-five hundredths _____________________

9. One and six thousandths _____________________

10. Forty-five and sixty-three hundredths _____________________

11. Fifteen and three tenths _____________________

12. Three hundred seventeen and nine tenths _____________________

13. Three thousand seven and fifty-five hundredths _____________________

14. Six and nineteen hundredths _____________________

15. Six and ninety-nine hundredths _____________________

Directions: 1) Write each decimal in standard form on the lines below. 2) Fit the number into the puzzle. The decimal points occupy one space and are already written in the puzzle. Example: Five and 24 hundredths is 5.24

Operations with Decimals

1) Solve: 0.52 + 1.6 2) Solve: 0.91 + 7 3) Solve: 1.705 – 1.42

4) Solve: 12 – 0.34 5) Solve: 0.4 x 0.05 6) Solve: 1.7 x 0.6

7) Jacob is 45.5 inches tall. His brother is 39 inches tall. How much taller is Jacob than his brother?

8) Each pack of pencils cost $2.25.

a. How much do 7 packs cost?

b. If you have a coupon for $1.50 off the total price of the pencils, how much will you pay for pencils?

9) Sharon goes to Target and wants to buy a shirt for $8.75, pants for $6, and shoes for $7.35.

If Sharon has $20.25, does she have enough money to buy all three items?

Adding & Subtracting Decimals

1. Line up the decimal points in the numbers

*If a whole number, decimal goes after the number

2. Add zeros where needed to fill in spaces

3. Add or subtract4. Bring down the decimal, keeping it in

line

Multiplying Decimals

1. Count how many decimal places are in the problem

2. Multiply like the decimals are not there

3. Count in same number of decimal places as the problem

Order of Operations

Solve each expression by following the Order of Operations.

Order of Operations:

1) Parentheses2) Exponents3) Multiplication or Division ( From left to right )4) Addition or Subtraction ( From left to right )

Write the letter from the box that matches each answer.

A

3 + 5 x 2 + 4

H

4 + (3 + 7) ÷ 2

T

9 x 5 - (4 + 14)

M

11 - 2 + 4 · 3

21 17 27 7

Equivalent Fractions

Find equivalent fractions:

Simplifying Fractions

Geographic WondersHave you ever wondered what is the world’s largest country? The largest desert? Maybe even the smallest continent? Complete this fraction match-up activity to discover the answers. Each geographic wonder listed below is followed by a fraction. Reduce the fraction to its lowest terms. Then correctly match it to one of the fractions in the right column and you’ll discover the location of the geographic wonder. Draw a line to connect the items in column 1 to its corresponding answer in column 2.

Common Denominators

Find the least common denominator (LCD) to add and subtract the fractions below:

Add & Subtract Fractions

Add/Subtract/Multiply Fractions

Multiply Fractions

Sarah is bringing her favorite yogurt dip to school for snack day. This recipe feeds 20 people but she only needs to feed 10. Can you help her halve this recipe? She would also like to make some for 5 of her friends. Can you help her to make a quarter of this recipe as well?

Multiply each ingredient's amount by 1/4 or 1/2 to calculate how much Sarah needs.

Measurement x ½ x ¼ Ingredient

2 ½ ______cups ______cups plain yogurt

1 ______tsp. ______tsp. dried dill

¾ _______tsp. ______tsp. salt

½ _______tsp. ______tsp. lemon juice

⅔ ______cups ______cups olive oil

½ ______ _______ garlic clove

Coordinate GridDirections: Use the grid below to determine the coordinates of each shape.

Directions: Determine which letter is at each coordinate using the grid below.

Math Applications

Use the necessary math operations, such as addition, subtraction, multiplication, and division, to solve the following money word problems.

1. Frankie went to the local video game shop with $40.00. He bought a used video game and a video game accessory. The game cost $35.00, and the accessory cost $1.75. How much money does Frankie have left?

1. Mrs. Montague has weekly extra credit points she offers in all of her classes. Students can earn up to 3 points per week. During the 11th week of school, 75 of her students earned the maximum number of points that week. How many extra credit points did Mrs. Montague give out that week?

1. Mark and Jon attend the same soccer camp. The camp costs $195.00 per person, per week. The boys also have to pay their own travel costs to and from camp. If the boys ride up and back together, they only spend $80.00 on gas. Find the total each boy will pay to cover camp and travel costs for one week.

Helpful Resources

The following website can be used to assist your child in completing the summer booklet.

Khan Academywww.khanacademy.org

Purple Mathwww.purplemath.com

IXLwww.ixl.com

National Council for Teachers of Mathematics (NCTM) Parent Resourceshttp://www.nctm.org/resources/families.aspx

Discovery Educationhttp://www.discoveryeducation.com/parents/

Math.comhttp://www.math.com/parents.html