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LESSON
MASTE
Questions on SPUR Objedives
R
Skills 0bjective
F: ldentify and apply the Commutative and Associative Properties of Multiplication.
In 1,-5, tell whether the statement illustrates the Commutative Property of Multiplication or the Associative Property of Multiplication.
: m'4 2. 7(x3Y) : 7(Yx3) I.
4m
3. s(+4 = (r .1)' 4. Five 2-foot-long boards have the same total length as two 5-footlong boards.
5. The amount of discount on two 40-dollar speakers at ll%o off is the same as twice the discount on one 40-do11ar speaker at l07o off.
In 6-13, simplify. 6.
3t.10u
7. 693 - 2. z5
8.
la.rc'
9.
.s J. rs
11.
I5y2.5y
10.
lja'5a'12a
13. 20ab . 4a.Zbc
12. 100w '23 '0.5 o.
o
(J cg
Uses
0bjective G: Apply the Area Model for Multiplication in real situations.
ln 14-16, find the area of the shaded region. o fJ.
L4'
3.5
15.
ft
16.
o
U)
o FA
l!
rF1
-.]
1ft
1ft
rft
lft
3ft
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Name
L7. A building code requires that a garage have a floor area no greater t!9ry8-Vo of the area of the lot. Mr. Koo is planning to build a 21-ft-by-24-ft. garage on a 5O-frby-130-ft r-ectanguTar lot. Is the garuge ri,ltfrin thl co-de requiremenis? Why or *fti noit
18. Find the volume of a storage crate that measures 2 mby 2.5 mby 4 m. 19" How many boxes 2" x 2" x l" canbe packed in a carton 2 ft by 2 ft x I ft? : :...---
Ui.i
..
.-
! . ..
---,:. i i:_.la:;!:_ii=->,I
. , ::
=L:li:i;+:_:i+i
! -
>._.t;+;,. +:
iiiCidilguiar aiic.iS l0 piarr'ire itiUilii.,iitaliOri. .5
m A box has the dimensions shown. What is its volume?
2m
22' iiiiiiiiiiiiiiii
iiiiiiiiiiiiiiii iiiiiiiiiiiiiiii iiiiiiiiiiiiiiii iiiiiiiiiiiiiiii iiiiiiiiiiiiiiii
Write a multiplication sentence suggested by the array at the left.
23. At the right, each of the smallest rectangles has length y and width x. a. Express the area of the largest rectangle as length times width.
6
o.
o
U
x !)
o
Fr
o o
ct)
o
b. Simplify your answer to Part a.
& ca
t! ,.1
How many of the smallest rectangles make up the largest rectangle? Find the area of each. Explain how these answers are reiated to your answer in Part b.
2('
MASTE
Questions on SPUR Objedives
R
Skills 0bjective
F: ldentify and apply the Commutative and Associative Properties of Multiplication.
In 1,-5, tell whether the statement illustrates the Commutative Property of Multiplication or the Associative Property of Multiplication.
: m'4 2. 7(x3Y) : 7(Yx3) I.
4m
3. s(+4 = (r .1)' 4. Five 2-foot-long boards have the same total length as two 5-footlong boards.
5. The amount of discount on two 40-dollar speakers at ll%o off is the same as twice the discount on one 40-do11ar speaker at l07o off.
In 6-13, simplify. 6.
3t.10u
7. 693 - 2. z5
8.
la.rc'
9.
.s J. rs
11.
I5y2.5y
10.
lja'5a'12a
13. 20ab . 4a.Zbc
12. 100w '23 '0.5 o.
o
(J cg
Uses
0bjective G: Apply the Area Model for Multiplication in real situations.
ln 14-16, find the area of the shaded region. o fJ.
L4'
3.5
15.
ft
16.
o
U)
o FA
l!
rF1
-.]
1ft
1ft
rft
lft
3ft
t9>
Name
L7. A building code requires that a garage have a floor area no greater t!9ry8-Vo of the area of the lot. Mr. Koo is planning to build a 21-ft-by-24-ft. garage on a 5O-frby-130-ft r-ectanguTar lot. Is the garuge ri,ltfrin thl co-de requiremenis? Why or *fti noit
18. Find the volume of a storage crate that measures 2 mby 2.5 mby 4 m. 19" How many boxes 2" x 2" x l" canbe packed in a carton 2 ft by 2 ft x I ft? : :...---
Ui.i
..
.-
! . ..
---,:. i i:_.la:;!:_ii=->,I
. , ::
=L:li:i;+:_:i+i
! -
>._.t;+;,. +:
iiiCidilguiar aiic.iS l0 piarr'ire itiUilii.,iitaliOri. .5
m A box has the dimensions shown. What is its volume?
2m
22' iiiiiiiiiiiiiiii
iiiiiiiiiiiiiiii iiiiiiiiiiiiiiii iiiiiiiiiiiiiiii iiiiiiiiiiiiiiii iiiiiiiiiiiiiiii
Write a multiplication sentence suggested by the array at the left.
23. At the right, each of the smallest rectangles has length y and width x. a. Express the area of the largest rectangle as length times width.
6
o.
o
U
x !)
o
Fr
o o
ct)
o
b. Simplify your answer to Part a.
& ca
t! ,.1
How many of the smallest rectangles make up the largest rectangle? Find the area of each. Explain how these answers are reiated to your answer in Part b.
2('
