Hunter’s Creek Middle School

Incoming 7th Grade Math Summer Packet

Dear Incoming 7th Grader,

We are excited to meet you! In the packet, you will find the following:

• Big 25 Study Guide• Big 25 Skills Review Resources• Big 25 A• Big 25 A – answer key

Please read over the study guide, complete the Khan Academy practices, and watch the Virtual Math Nerd videos. These skills are crucial and necessary in the success of completing 7th grade math. For the Khan Academy practices, you will need to type the lesson exactly as it is written in this packet; if you don’t type it correctly, the appropriate lesson will not show up. As for the Virtual Math Nerd videos, there is a link embedded in this document. These videos will take each skill and show you the mathematical process step-by-step. You can watch them as many times as you’d like!

We look forward to meeting you in August. Have a great summer break!

Sincerely,

7th Grade Math Teachers

Incoming 7th Graders

Big 25 Skills Review Resources

Big 25 Skill Khan Academy Practice Virtual Math Nerd Video

1. Add Mixed Numbers Add and subtract mixed numbers with unlike denominators (no regrouping) (Practice)

https://tinyurl.com/Add-

same-denominator

https://tinyurl.com/Finding-

common-denominator

https://tinyurl.com/Add-

different-denominator

https://tinyurl.com/Add-mix-

number

2. Subtract Mixed Numbers Add and subtract mixed numbers with unlike denominators (no regrouping) (Practice)

https://tinyurl.com/Sub-

same-denominator

https://tinyurl.com/Sub-

different-denominator

https://tinyurl.com/Sub-mix-

number

3. Multiply Mixed Numbers Multiply mixed numbers (Practice)

https://tinyurl.com/Multiply-

frac

https://tinyurl.com/Mult-mix-

number

4. Divide Mixed Numbers Divide mixed numbers (Practice)

https://tinyurl.com/multiplica

tive-inverse

https://tinyurl.com/what-is-

a-reciprocal

https://tinyurl.com/dividing-

frac

https://tinyurl.com/div-mix-

number

Big 25 Skill Khan Academy Practice Virtual Math Nerd Video

5. Add Decimals Adding decimals: hundredths (Practice)

https://tinyurl.com/add-deci

6. Subtract Decimals Subtracting decimals: hundredths (Practice)

https://tinyurl.com/sub-deci

7. Multiply Decimals Multiplying decimals like 2.45x3.6 (standard algorithm) (Practice)

https://tinyurl.com/M-decimals

8. Divide Decimals Dividing decimals: hundredths (Practice)

https://tinyurl.com/Div-decimal

9. Add Integers Adding & subtracting negative numbers (Practice)

https://tinyurl.com/A-negative

https://tinyurl.com/A-pos-neg

10. Subtract Integers Adding & subtracting negative numbers (Practice)

https://tinyurl.com/sub-neg-pos

https://tinyurl.com/sub-pos-neg

11. Multiply Integers Multiplying negative numbers (Practice)

https://tinyurl.com/what-sign

https://tinyurl.com/different-

signs

12. Divide Integers Dividing negative numbers (Practice)

https://tinyurl.com/what-sign

https://tinyurl.com/different-

signs

13. Multiply by powers of 10 Multiply and divide decimals by 10, 100, and 1000 (Practice for #13 & 14)

https://tinyurl.com/M-D-10-100-1000

14. Divide by powers of 10 Multiply and divide decimals by 10, 100, and 1000 (Practice for #13 & 14)

https://tinyurl.com/M-D-10-100-1000

Big 25 Skill Khan Academy Practice Virtual Math Nerd Video

15. Decimals and Exponents Exponents (Practice)

https://tinyurl.com/What-is-an-

exponent

https://tinyurl.com/solve-

exponent

16. Fractions and Exponents Powers of fractions (Practice) https://tinyurl.com/Powers-of-fraction

17. Perfect Squares Square roots (Practice) https://tinyurl.com/roots-squared

18. Estimate Square Root Approximating square roots (Practice)

https://tinyurl.com/between-roots

19. Rounding decimals Round decimals (Practice) https://tinyurl.com/deci-round

20. Rounding mixed numbers Refer to Virtual Math Nerd video

https://tinyurl.com/frac-round

21. Convert fraction to decimal

Converting fractions to decimals (Practice)

https://tinyurl.com/make-frac-a-deci

22. Convert decimal to fraction

Rewrite decimals as fractions (Practice)

https://tinyurl.com/make-deci-a-frac

23. Convert fraction to percent

Convert fractions to percents (Practice)

https://tinyurl.com/frac-to-per

24. Percent of a number 25. Percent of a number

Percent problems (Practice) https://tinyurl.com/per-por

https://tinyurl.com/per-por-setup

https://tinyurl.com/per-por-1

https://tinyurl.com/per-por-q2

hs. 1.22

1.2

X 1.2

24

12 0

To do powers, multiply the number as many times as indicated bythe exponent (power).

116. [+r I [ ! ]' =

3 x 3 =�5x5 �

To do powers with fractions, multiply both the numerator and denominator as many times as indicated by the exponent (power).

I 17.

18.

19.

20.

121.

You need to know perfect square roots:

=0 ✓1 = 1 ✓4 = 2 ✓9 = 3 ✓16 = 4 ✓2s = s ✓36 = 6 ✓49 = 7 ✓64=8 ✓81=9 ✓100=10 ✓121=11 ✓144=12 ✓169=13 ✓196=14

52 is between what two consecutive whole numbers? To find the two consecutive whole numbers:

1. Find the perfect square just below the number.

✓ 49=7✓ 64 = 8

GvRound 4.621 to the nearest whole number.

(9.21t Round to G)

Round 3 .2_ to the7

nearest whole number.

5 x2 = 1010 > 7 Round to©

3 as a decimal4

�4�

2 a+20

20

0

2. Find the perfect square just above the number.

To round decimals: 1. Circle the place value you are rounding. 2. If the digit to the right is 0, 1, 2, 3, or 4, the circled number stays the

same. 3. If the digit to the right is 5, 6, 7, 8, or 9, add one to the circled number.

To round fractions: 1. Multiply the numerator by 2. 2. If the result is greater than or equal to the denominator, add one to the

whole number. 3. If the result is less than the denominator, the whole number stays the

same.

To convert a fraction to a decimal, divide the numerator by the denominator. Keep dividing until you get a zero remainder or arepeating decimal.

Page 3

NAME __________________________ **NO WORK = NO CREDIT!** Date ____________________________ Period _______________________________

BIG25 A Directions: Show your work. Copy your final answers onto the answer line to the left. Make sure

you write in pencil.

1. 2.

3. 4.

5. 6.

7. 8.

9. 10.

11. 12.

1. _________

2. _________

3. _________

4. _________

5. _________

6. _________

7. _________

8. _________

9. _________

10. _________

11. _________

12. _________

8 ⅛ + 2 ⅓ = 5 ⅓ - ⅞ =

⅜ x 6 = 6 ÷ 1 ½ =

16 + 0.01 + 3.5 = 32 - 4.7 =

4.2 x 3.6 = 21.08 ÷ 3.4 =

5 + ¯ 7 = 6 – 7 =

¯ 2 x 6 = ¯ 54 ÷ 9 =

13. 14.

15. 16.

17. 18.

19. 20.

21. 22.

23. 24.

25.

EXTRA WORK SPACE

13. _______

14. _______

15. _______

16. _______

17. _______

18. _______

19. _______

20. _______

21. _______

22. _______

23. _______

24. _______

25. _______

What % is 9 of 27?

17/20 = ? (percent) What number is 16% of

63.2?

2

4/5 = ? (decimal) 0.6 = ? (fraction)

Round 16.145 to the

nearest tenth.

Round 3 ⅞ to the nearest

whole number.

√25 √69 is between what two

consecutive whole

numbers?

4.2² = (¾)² =

4.27 x 100 = 375 ÷ 10 =