Post on 17-Mar-2022
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 =