Test Prep ~ Math Example Grade 3
Try
these example problems at home, after reading about the benchmark.
Benchmark:
MA.3.A.1.3 Identify, describe, and apply division and multiplication
as inverse operations.
Benchmark
Clarifications
Students will identify the inverse of a multiplication or division
equation.
Students will apply the inverse property to solve real-world
problems and to check the solution of a problem involving
multiplication or division.
Sample
Item 3 MC
A
group of 24 people is getting on a roller coaster. Each car of the
roller coaster can hold 4 people. Which equation could be used to
find the number of roller coaster cars needed to hold all 24 people?
A. 24 + 4 = __
B. 24 X 4 = __
C. __
+ 4
= 24
★
D. __ X 4 = 24
To
solve the problem above, students may know that 24 ÷ 4 is an
equation that can be used. However, they must also know that
multiplication is the inverse of division, so that they will
recognize __ x 4 = 24 as the correct answer.
Another Example:
Joey put 3 toy cars in each box. He had 9 boxes. Which equation
could be used to find the total number of cars Joey put in boxes?
A.
9
× f = 3
B.
f
÷ 9 = 3
★
C.
f
× 3 = 9
D.
9
÷ 3 = f
Speaking of what we have learned... here is another benchmark to
review with your child, along with a practice problem. Remember,
this information has been taken directly from the Florida Department
of Education regarding the content of the new FCAT 2.0.
Benchmark
MA.3.A.1.2
Solve multiplication and division fact problems by using strategies
that result from applying number properties.
Benchmark
Clarification
Students will recognize equivalent representations of equations or
expressions by using number properties, including the commutative,
associative, distributive, and identity properties for
multiplication and division and the zero property of multiplication.
Content
Limits
•
Items will not include identifying the properties by name.
•
Items will not require the use of more than two properties to
convert one expression or equation to its equivalent.
•
Items may include only factors or divisors of 0 through 9.
Sample Item 2 MC
Isabella cannot remember the product of 9 X 8.
Which of the following is another expression that Isabella could use
to find the product of 9 X 8?
★
A. (9 X 5) + (9 X 3)
B. (9 X 4) + (9 X 2)
C. (9 X 1) + (4 X 2)
D. (9 X 2) + (8 X 6)
The
example above is for the distributive property. The students will
not need to know the name of the property, but they will need to
know how to use it. For example: the product of 6 groups of 8 is the
same amount that you get when adding the products of 2 groups of 8
and 4 groups of 8. You can split "6" into 2 and 4 to make the groups
smaller and more manageable. Another way to see this is:
6
x 8 = 48 AND
(2 x 8) + (4 x 8) = 48
What about the other properties?
Communitive
property of multiplication:
you can multiply factors in any order and the product will be the
same.
Example: 4 x 5 = 20, so 5 x 4 = 20
Associative property of multiplication:
you can change the grouping of the factors and the product will be
the same.
Example: (3 x 6) x 2 = 18 x 2 =36
3 x (6 x 2) = 3 x 12 =36
Identity (one) property of multiplication:
when you multiply a number and 1, the product is that number.
Example: 7 x 1 = 7
Zero property of multiplication:
when you multiply a number and zero, the product is zero.
Example: 7 x 0 = 0
