sample - ORIGO Education

SAMPLE PAGES
SENIOR AUTHORS
PROGRAM CONSULTANTS
James Burnett
Diana Lambdin
Calvin Irons
Frank Lester, Jr.
Kit Norris
contributing authors
PROGRAM EDITORS
Debi DePaul
James Burnett
Peter Stowasser
Beth Lewis
Allan Turton
Donna Richards
PRACTICE BOOK
1. Use the standard addition algorithm to calculate the total.
a.
6
3
0
5
+ 2
8
7
4
b.
3
0
7
9
+ 5
6
5
0
c.
2
8
9
5
+ 6
1
4
4
d.
2
3
4
8
0
+ 1
2
7
9
5
2. W
ritethenumbersentencethatyouwouldusetofigureouteachanswer.
Complete the diagram to show your thinking.
a. Eva has 15 baseball cards. Lilly has 4 times as many as Eva.
How many baseball cards does Lilly have?
15
E
Eva
PL
Lilly
b. James has $15. Damon has $4 more than James.
How much money does Damon have?
15
SA
M
James
Damon
or the tens part red and the ones part blue. Then write each product.
3. Color
Add the two partial products and write the total.
a.
3 × 36
3
30
3×
=
3×
=
6
Total
© ORIGO Education.
b.
6 × 47
6
40
ORIGO Stepping Stones 4 • 7.2
7
6×
=
6×
=
Total
55
WHERE AM I?
What does an elephant have that no other animals have?
Figure out each of these and write the answer. Find the answer in the grid below
and cross out the letter above. Then write the remaining letters at the bottom
of the page.
420 + 220 =
680−470=
520 + 260 =
780−610=
340 + 230 =
750−410=
320 + 160 =
570−250=
570
− 250
120 + 470 =
670−450=
E
860−310=
280 + 610 =
770−520=
SA
M
PL
310
3
10 + 460 =
550−240=
440 + 350 =
430 + 220 =
660−420=
660
− 420 =
980−360=
B L O N G E A R
150
780
890 550
790
320
760
250
S B G R E Y B E
220 580 240
770
480
470
210
560
L E P T R U N K
230
180
330 640 650
310
620 340
© ORIGO Education.
H A N D T U S K
490
630 260
ORIGO Stepping Stones 4 • 7.3
170
660 590 460
570
Write the letters
in order from the
to the bottomright corner.
56
1. Usethestandardsubtractionalgorithmtocalculatethedifference.
a.
−
6
4
5
3
8
2
b.
−
7
6
1
2
4
9
c.
−
5
1
3
1
8
4
d.
−
8
0
7
3
1
9
2. W
ritethenumbersentencethatyouwouldusetofigureouteachanswer.
Complete the diagram to show your thinking.
a. Koda bought a ticket to Ocean World theme park for $45. Zoe used a coupon
and saved $15. How much did she pay?
$45
PL
Zoe
E
Koda
SA
M
b. Jacob is 24 years old. He is 6 times the age of his daughter Kimie.
How old is Kimie?
Jacob
24
Kimie
3. Complete
mplete each number sentence. Then write the total of the three products.
a.
3 × 254
© ORIGO Education.
3 × 200 =
600
b.
6 × 183
c.
7 × 438
6 × 100 =
7 × 400 =
3 × 50 =
6 × 80 =
7 × 30 =
3×4=
6×3=
7×8=
Total
Total
Total
ORIGO Stepping Stones 4 • 7.4
57
1. Use a pattern to help complete these equations.
a.
b.
3×4=
9×6=
30 × 4 =
90 × 6 =
300 × 4 =
900 × 6 =
3,000 × 4 =
9,000 × 6 =
2. Write each fraction as a whole number.
=
10
5
=
15
5
=
12
6
=
18
6
=
24
6
=
20
5
=
25
5
=
36
6
=
54
6
=
E
b.
5
5
PL
a.
a.
SA
M
3. L abelthedimensionsforeachpartandwritenumbersentencestofigureout
part and write number
eachpartialproduct.Thenaddthepartialproductstofigureoutthetotal.
add the partial products
4 × 3,265
b.
© ORIGO Education.
3 × 2,584
×
=
×
=
×
=
×
=
Total
×
=
×
=
×
=
×
=
Total
ORIGO Stepping Stones 4 • 7.6
58
Time Taken:
RACE TRACK
For each division fact, write the multiplication fact you would use to help
figureouttheanswer.Thenwritetheanswers.Completetheraceasfast
as you can. Use the classroom clock to time yourself.
35 ÷ 5 =
×
=
×
=
×
=
×
30 ÷ 6 =
×
=
35 ÷ 7 =
×
=
ORIGO Stepping Stones 4 • 7.7
© ORIGO Education.
=
=
=
×
=
×
=
=
28 ÷ 4 =
×
=
28 ÷ 7 =
×
24 ÷ 4 =
×
=
36 ÷ 4 =
30 ÷ 5 =
15 ÷ 3 =
×
×
16 ÷ 4 =
×
=
32 ÷ 4 =
24 ÷ 6 =
SA
M
45 ÷ 5 =
40 ÷ 8 =
PL
×
×
E
15 ÷ 5 =
=
36 ÷ 9 =
=
20 ÷ 5 =
×
=
59
1. Use a pattern to help complete these equations.
a.
b.
35 ÷ 5 =
28 ÷ 7 =
350 ÷ 5 =
280 ÷ 7 =
3,500 ÷ 5 =
2,800 ÷ 7 =
35,000 ÷ 5 =
28,000 ÷ 7 =
2. Add
dd these mixed numbers. Show your thinking on the number line.
1
4
+2
2
4
=
1
0
b.
E
2
PL
a.
3
8
+1
4
8
=
3
SA
M
2
2
0
1
2
4
3
5
4
3. Write
rite the expressions to match.
Thenusetheworkingspacetofigure
the working space to
out each product.
a.
×
=
6
2,000
400
50
3
70
8
b.
© ORIGO Education.
×
=
4
3,000
ORIGO Stepping Stones 4 • 7.8
Working Space
60
1. Read each problem carefully. Figure out the answer.
You can draw a picture to help.
3
2
a. Liam bought 4 lb of potatoes and 4 lb
of onions. What was the total mass?
3
6
b. A recipe needs 8 qt of juice and 8 qt
of water. How much liquid is used?
lb
qt
1
3
5
+1
3
5
=
b.
1
2
SA
M
0
PL
a.
E
2. Countonfromonemixednumbertofigureoutthetotal.
total.
Draw jumps on the number line to show your thinking.
1
3
4
+2
3
4
3
4
=
0
1
2
3
4
5
3. Write
rite a multiplication sentence to show each part.
Then write the total of the four partial products.
10
6
© ORIGO Education.
40
3
16 × 43
×
=
×
=
×
=
×
=
Total
ORIGO Stepping Stones 4 • 7.10
61
BELIEVE IT OR NOT!
T
orevealafunfact,figureouteachoftheseandwritetheproduct.
Then write each letter above its matching product at the bottom of the page.
Some letters appear more than once.
r
8 × 45 =
o
9 × 48 =
l
17 × 5 =
u
26 × 4 =
i
33 × 9 =
a
5 × 23 =
q
37 × 7 =
p
44 × 9 =
f
9 × 28 =
e
4 × 29 =
37 × 8 =
s
34 × 6 =
294
360
© ORIGO Education.
108
160
ORIGO Stepping Stones 4 • 7.11
n
7 × 42 =
m
d
27 × 4 =
c
PL
t
SA
M
32 × 5 =
E
6 × 32 =
h
53 × 6 =
204
115
85
104
160
360
259
192
252
396
252
192
318
104
432
296
192
252
360
297
296
85
432
160
252
204
116
204
62
1. Ineachshape,colorpartstoshowthefirstfraction.Thendrawmorelines
and complete the diagram to show an equivalent fraction.
a.
b.
×
×
3
4
is the
same as
2
3
12
is the
same as
12
×
×
2. Figure
igure out the answer to each problem. Show your thinking.
a. Zola rides her bike 2 21 miles to
school each day. How far is the
trip to and from school?
SA
M
PL
E
b. Two hoses are joined together.
7
One is 12 12 feet long and the other
6
is 10 12
feet. What is the total length?
miles
feet
igure out each product. Show your thinking.
3. Figure
a.
b.
33 × 29 =
© ORIGO Education.
18 × 26 =
c.
37 × 41 =
ORIGO Stepping Stones 4 • 7.12
63