Download Preparing for Math 7

Preparing for Math 6
1)
Students must MEMORIZE the MULTIPLICATION TABLES up to 12 x 12 = 144
to be successful in Math 6. A great portion of the Math 6 curriculum depends on a
student’s ability to perform mental operations. For example, students MUST be
able to multiply quickly and accurately in order to identify multiples & factors of
whole numbers, prove if a number is prime or composite, name the least common
multiple & greatest common factor of a set of numbers, reduce ratios, perform long
division of decimals, and evaluate exponents. Common multiplication stumpers:
6 x 9 = 54
2)
*If you are taking Math 6 next year in GW, you need to
work on the following skills before school starts in the fall:
7 x 8 = 56
3 x 9 = 27
9 x 12 = 108
11 x 12 = 132
Master the 4 Operations (+, -, x, ÷) when working with WHOLE NUMBERS. This
includes numbers that have multiple digits. For example, students should be able to
perform the following operations WITHOUT calculators:
97
46
+ 172
900
- 48
849
x 15
720
x 63
572 ÷ 11 =
3)
Estimate answers by rounding decimals to the nearest whole number, the nearest
tenth, and the nearest hundredth. Knowledge of decimal place value is an essential
skill in middle school math.
Ex:
7.563 ≈ 8
(nearest whole number)
7.563 ≈ 7.6
(nearest tenth)
7.563 ≈ 7.56 (nearest hundredth)
4)
Students should know the following fraction, decimal and percent equivalencies:
1
4
=
0.25
=
25%
3
4
=
0.75
=
75%
1
2
=
0.5
=
50%
4
4
=
1.0
=
100%
5)
Students should be able identify whether the application of the concept of
perimeter, area or volume is appropriate for a given word problem.
6)
Students should be able to add and subtract FRACTIONS and MIXED #’s, with
and without common denominators, and express answers in simplest form.
Ex:
2 1
+
=
3 2
4 3
+
=
6 6
7
6
=
1
1
6
7)
You should be familiar with the most basic units of measurement for length, weight
and liquid capacity in both the Metric System and the US Customary System. You
should also be able to convert measurements from one unit to another. This will
help you throughout your education because it applies to many subject areas.
Length
(Distance)
Metric System
10 millimeters = 1 centimeter
100 centimeters = 1 meter
1,000 meters = 1 kilometer
US Customary System
12 inches = 1 foot
3 feet = 1 yard
5,280 feet = 1 mile
Weight
(Mass)
1,000 milligrams = 1 gram
1,000 grams = 1 kilogram
16 ounces = 1 pound
2,000 pounds = 1 Ton
Liquid Capacity
(Volume)
1,000 milliliters = 1 Liter
1,000 Liters = 1 kiloliter
8
2
2
4
8)
9)
Students must be able to add, subtract and multiply DECIMALS without using a
calculator. Traditional algorithms are preferred. For example:
9 + 7.5 + 0.46 =
9.00
7.50
+ 0.46
11 – 3.5 =
7.5 x 3.8 =
7.5
x 3.8
$9.50 x 4 =
11.5
- 3.4
x
$9.50
4
Study the following mathematical cues & their corresponding operations:
Addition
Sum
Total
Altogether
Increase
Deposit
10)
fluid ounces = 1 cup
cups = 1 pint
pints = 1 quart
quarts = 1 gallon
Subtraction
Difference
Take Away From
Less Than
Decrease
Withdraw
Multiplication
Product
Times
Squared
Cubed
Of
Division
Quotient
Divide
Split Equally
Students should know the following FRACTION & DECIMAL equivalencies:
1
= 0.1
10
6 3
= = 0.6
10 5
2 1
= = 0.2
10 5
7
= 0.7
10
3
= 0.3
10
8 4
=
= 0.8
10 5
4 2
=
= 0.4
10 5
9
= 0.9
10
5
1
=
= 0.5
10 2
10
= 1 = 1.0
10