Download Advanced Math - Unit 1 * *Stuff* I Need to Know

Math - Unit 1B – “Stuff” I Need to Know
Learning Target 1:
improper fractions
find equivalent fractions; simplify fractions; convert between
Example 1A: Write each fraction in simplest form.
6
4
10
30
28
35
Example 1B: Find two equivalent fractions for each fraction.
3
6
1
9
10
5
Example 1C: Find the missing numbers that make the fractions equivalent.
3
7
=
𝑥
6
35
48
=
1
2
𝑥
5
=
28
𝑥
Example 1D: Write each improper fraction as a mixed number.
13
19
43
3
8
5
Example 1E: Write each mixed number as an improper fraction.
1
94
4
35
9
4 11
Learning Target 2: find all factor pairs for a whole number in the range 1-100; list the
first 10 multiples of a given number 1-12
Example 2A: List all factors of the following numbers. You can list as pairs or in numerical order.
45
36
56
Example 2B: List the first 10 multiples of the following numbers.
3
5
12
Learning Target 3: find the prime factorization of a given number; write in expanded
form and exponential form
Example 3A: Write the following numbers using expanded form.
1,795
230,678
45,235,762
Example 3B: Find the prime factorization of the following numbers. Write your answer in
exponential form when possible.
76
740
132
Learning Target 4: find the Greatest Common factor (GCF) of two whole numbers less
than or equal to 100
Example 1A: Find the GCF of each set of numbers.
10 and 35
9 and 36
16 and 72
Example 1B: Calculate.
Tristan has 45 apples and 20 pears that he is putting into gift baskets. Each basket will have the
same number of apples and pears. What is the greatest number of baskets Tristan can make with
no fruit left over?
Learning Target 5: find the Least Common Multiple (LCM) of two whole numbers less
than or equal to 12
Example 2A: Find the LCM of each set of numbers.
3 and 5
6 and 16
3 and 9
Example 2B: Calculate.
At Poultry Paradise, turkey burgers are sold in packages of 8. Whole-grain buns are sold in
packages of 6. What is the least number of turkey burgers and buns Carly can buy to have an
equal number of each?
Learning Target 6: divide fractions
Example 3A: Divide. Answer in simplest form.
2
3
÷
1
5
6
8
÷
1
3
2
4
÷
3
8
Example 3B:
How many
1
6
pound hamburgers can be made from
A piece of string is
3
4
1
2
pound of hamburger meat?
meter long. How many pieces of string that are
1
20
meter long can Wyatt cut?
Learning Target 7: divide mixed numbers
Example 4A:
1
1
2
4
1 ÷2
8 ÷3
1
2
Example 4B:
3
4
Jeanne has 3 5 yards of fabric. She needs 1 5 yards to make a pair of pants. How many pairs of
pants can she make?
Chris is cutting a roll of cookie dough into pieces that are
long, how many pieces can he make?
1
2
1
inch think. If the roll is 10 2 inches