math mammoth grade 1-b complete worktext - sample pages · 2009. 2. 17. · measuring lines in...
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Contents Chapter 4: Place Value Within 0-100
Introduction ...................................................................... 5Counting in Groups of 10 .................................................. 8Naming and Writing Numbers ......................................... 10The "Teen" Numbers ........................................................ 13Building Numbers 11-40 .................................................... 15A 100-Chart ........................................................................ 17Practicing Numbers 11-40 ................................................. 19Building Numbers 41-100 ................................................ 20Practicing Numbers 41-100 ............................................. 22Which Number is Greater? ............................................... 25Skip-Counting..................................................................... 28Mystery Numbers and More Practice.............................. 32Review ............................................................................... 34
Chapter 5: Clock
Introduction ....................................................................... 36Whole and Half Hours ....................................................... 38The Minutes ...................................................................... 42AM and PM ....................................................................... 46Review - Half Hours .......................................................... 49
Chapter 6: Shapes and Measuring
Introduction ........................................................................ 50Shapes ................................................................................ 52Shapes 2 ............................................................................. 55Measuring Lines in Inches ................................................ 57Measuring Lines in Centimeters ...................................... 60Review ................................................................................ 62
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Chapter 7: Adding and Subtracting Within 0-100 Introduction ....................................................................... 63Refresh Your Memory .................................................... 65Adding Within the Same Ten .......................................... 68Subtracting Within the Same Ten ................................... 72Whole Tens ....................................................................... 76Difference and Word Problems ....................................... 78Graphs ............................................................................... 81Adding in Columns ........................................................... 83Subtracting in Columns ................................................... 85Completing the Ten .......................................................... 87Going Over to the Next Ten ............................................ 91Subtract to Ten ................................................................ 93Addition Practice .............................................................. 96Subtraction Review .......................................................... 98
Chapter 8: Coins
Introduction ....................................................................... 100Money - Counting Dimes, Nickels, and Cents ................ 101Money - Counting Dimes, Nickels, and Cents 2 ............. 104Quarters, Too ................................................................... 106Practicing With Money .................................................... 109Review - Coins .................................................................. 110
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Counting in Groups of 10 1. Count in groups of TEN. Count ten dots, and circle them. Write how many ten-groups you get. Write how many ones are left over.
2. Counting game 1. (Optional - to give more practice for making ten-groups)
Toss a bunch of beans or other objects on a table, and ask the child to make ten-groups. Then ask the child to count the ten-groups and the individual ones, using "four-tens six" or "seven-tens one", etc. Repeat as necessary with a different amount of objects, taking turns.
ten- groups ones
a.
ten- groups ones
b.
ten- groups ones
c.
ten- groups ones
d.
ten- groups ones
e.
ten- groups ones
f.
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3. Counting game 2.
You need: Counting items, such as sticks, beads, or beans. Small bags or bowls, OR rubber bands if using sticks.
Before the game: Place 10 of the items in the middle, and the rest in a pile on the side.
Play: At his turn, each player adds one more item to the middle pile on the table, and names the number thus formed. Whenever a whole ten is fulfilled, those ten items are grouped together with a rubber band or by placing them in a small bag or bowl.
ONLY use words one to ten when counting in this came. Words like eleven, thirteen, twenty, fifty etc. are not allowed. For example, eleven is said as "ten and one", twelve is "ten and two", twenty is "two tens", twenty-five is "two tens and five", etc.
Variation: Each player adds two (or some other quantity) matches to the pile instead of one.
4. Introduce the 100-bead abacus to the student. Make these numbers with the 100-bead abacus.
5. Take turns telling each other what number to make on the abacus, such as "7 tens 9" or "1 ten 7". Do not proceed further until the student has mastered this! This is crucial.
6. Say the number names from ten to hundred aloud a few times, while also making them with the 100-bead abacus. It almost sounds like a rhyme!
a. 6 tens 5 ones
b. 2 tens 7 ones
c. 7 tens
d. 1 ten 5 ones
e. 2 tens 1 one
f. 8 tens 9 ones
g. 9 tens 3 ones
h. 1 ten 1 one
i. 4 tens 6 ones
j. 6 tens
k. 7 tens 1 one
l. 1 ten 8 ones
The names of the numbers with whole tens are:
ten
two tens
three tens
=
=
=
ten
twenty
thirty
four tens
five tens
six tens
=
=
=
forty
fifty
sixty
seven tens
eight tens
nine tens
=
=
=
seventy
eighty
ninety
ten tens = hundred
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Building Numbers 11-40 1. Fill in the table. Think of the '+' sign as "and": 10 + 3 means 10 and 3.
a. Eleven
1 ten 1 one
10 + 1
tens ones
1 1
b. __________
1 ten 2 ones
10 + 2
tens ones
1 2
c. Thirteen
1 ten ___ ones
10 + 3
tens ones
1 3
d. ___________
1 ten ___ ones
10 + ____
tens ones
e. ___________
10 + ____
tens ones
f. Sixteen
10 + ____
tens ones
g.___________
____ + ____
tens ones
h.___________
____ + ____
tens ones
i. ___________
____ + ____
tens ones
j. Twenty
20 + 0
tens ones
2 0
k. Twenty-one
20 + ____
tens ones
l. ___________
20 + ____
tens ones
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Which Number is Greater? 1. Fill in the missing parts. Circle the number that is more.
OR
3 tens 6 ones
36
___tens ___ ones
____
OR
___tens ___ ones
____
___tens ___ ones
____
OR
___tens ___ ones
____
___tens ___ ones
____
OR
___tens ___ ones
____
___tens ___ ones
____
Study the above pictures. Do we first check how many TENS the numbers have or how many ONES the numbers have?
Check first how many ________ the numbers have.
If the numbers have the same amount of _______, then compare the ________.
For example,
92 has more TENS than 89, so 92 is greater than 89.
62 has the same amount of TENS as 66, but it has less ONES than 66. Therefore 62 is less than 66.
The symbol > means "greater than", and < means "less than". The open end or open mouth of the symbol ALWAYS points to the bigger number.
For example: 3 < 5 14 > 3 60 > 50 48 < 99 7 < 17
Since 44 comes before 47 when you read the number line from left to right, 44 < 47.
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2. Write < or > between the numbers to compare them.
3. Write < or > between the numbers. You can draw ten-sticks and one-dots to help.
a. 80 < 88 c. 95 85 e. 99 96 g. 85 91
b. 90 88 d. 86 94 f. 90 99 h. 100 87
a. 45 54 b. 34 24 c. 50 54
d. 15 56 e. 29 64 f. 81 90
g. 77 47 h. 34 94 i. 80 68
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Skip-Counting
1. Fill in the chart.
Then color yellow every second number on the number chart starting at 2.
What pattern do you notice?
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 40
41 50
51 60
61 70
71 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
2. Fill in the chart.
Then color blue every second number on the number chart starting at 1.
What pattern do you notice?
1 2 3 4 5 6 7 8 9 10
11 12 13 14 18 19 20
23 24 29
31 38 39
41 48
51 58
61 68
71 78
84 85 86 87 88
91 92 93 97 98 99 100
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5. Write the time yourself!
6. On the first row, write the time. On the second row, draw the hour hand. to show the time a half-hour later. On the third row, draw the hour hand to show the time an hour later from the first row of clocks.
a.
b.
c.
d.
e.
f.
g.
h.
Write the
time.
a.
b.
c.
d.
A half- hour later →
An hour later →
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The Minutes and Half Hours
1. You know these from the previous lesson. But now the minute hand is added. Write the time using the expressions o'clock and half past.
The minute hand on the clock is the thinner and longer hand.
It shows us the minutes - but the numbers 1-12 on the clock face do NOT tell us the minutes.
The green numbers are for the minute hand. They are not normally written on the clock face at all.
The time on the clock is 4 o'clock, or 4:00, or four hours and zero minutes.
Find a clock that has a knob you can turn to move the hour and minute hands. Set the hour hand pointing to one, and the minute hand pointing straight "up".
Move the hour hand from 1 to 2, and observe the minute hand!
Do it again: move the hour hand from 2 to 3. What does the minute hand do?
___________________________________________
Make the minute hand travel backwards as well.
If you make the hour hand travel from 7 to 10, how many 'rounds' does the minute-hand make? ____
It is 1 o'clock (and 0 minutes)
a.
b.
c.
d.
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3. Repeat the patterns to fill the grids.
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Measuring Lines in Centimeters
1. How many centimeters long are these things?
_____ cm
_____ cm
_____ cm
_____ cm
2. How many centimeters? Measure the line segments with your centimeter-ruler.
You can find out how long things are in inches, but you can also use centimeters.
This line is 1 centimeter long: (This line is 1 inch long. )
5 centimeters is about as long as 2 inches.
Centimeter is written shortly as "cm".
1 2 3 4 5
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Adding Within the Same Ten
3. Add the tens and ones in their own columns.
Remember how numbers are broken down into TENS and ONES:
23 = 20 + 3
47 = 40 + 7
1. Break the numbers into tens and ones.
a. 18 = 10 + 8
25 = ___ + __
89 = ___ + __
55 = ___ + __
b. 30 = ___ + __
67 = ___ + __
90 = ___ + __
46 = ___ + __
2. Do this the other way around!
a. 10 + 2 = ___
20 + 1 = ___
50 + 9 = ___
80 + 3 = ___
b. 8 + 40 = ___
6 + 30 = ___
7 + 20 = ___
9 + 90 = ___
tens ones
1 3+ 2 5
3 8
Write tens and ones in columns.
Add the tens in their column. Add the ones in their column.
(The box with 'T' is a ten.)
a.
tens ones
+
b.
tens ones
+
c.
tens ones
+
d.
tens ones
+
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2. Difference is also how many more! Find the differences in the way that is easier for you.
3. Write a missing addend sentence or a subtraction sentence for each problem and solve.
a. Difference of 10 and 50:
10 + __ = 50
50 – 10 = __
b. Difference of 20 and 70:
20 + __ = 70
70 – 20 = __
c. How many more is 14 than 10?
10 + __ = 14
14 – 10 = __
d. How many more is 20 than 6?
6 + __ = 20
20 – 6 = __
e. How many more is 80 than 40?
f. How many more is 16 than 10?
g. Difference of 50 and 48: ____
h. Difference of 100 and 99:
a. Jane had 20 strawberries and Jonathan had 11. How many more did Jane have?
Jane had 9 more.
11 + 9 = 20
20 – 11 = 9
b. One ruler is 30 cm long, and another rule is 10 cm long. How many centimeters longer is the first one?
c. One book is 14 cm wide, and another is 6 cm wide. How many centimeters wider is the first book?
d. Ann had five toy cars in a game, and Judith had 10. Then Ann got two more. Now who has more cars? How many more?
e. Jake had 6 dollars and Jim had 12. Then, Jake earned 10 dollars. Now who has more money? How many dollars more?
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2. Write the previous and next whole ten.
3. Complete the next ten. Below, write the same kind of problem within numbers 0-10.
4. Complete the tens. Think of the corresponding problem within range 0-10.
5. Count by fives.
a. 10, 13, 20
____, 25, ____
____, 78, ____
b. ____, 94, ____
____, 39, ____
____, 65, ____
c. ____, 4, ____
____, 57, ____
____, 72, ____
d. ____, 93, ____
____, 81, ____
____, 46, ____
a. 23 + ___ = 30
3 + ___ = 10
b. 44 + ___ = ___
4 + ___ = ___
c. 17 + ___ = ___
7 + ___ = ___
d. 84 + ___ = ___
4 + ___ = ___
e. 35 + ___ = ___
5 + ___ = ___
f. 61 + ___ = ___
1 + ___ = ___
g. 89 + ___ = ___
9 + ___ = ___
h. 67 + ___ = ___
___ + ___ = ___
a.
13 + ___ = 20
67 + ___ = 70
88 + ___ = 90
b.
26 + ___ = 30
44 + ___ = 50
11 + ___ = 20
c.
37 + ___ = 40
61 + ___ = 70
15 + ___ = 20
d.
74 + ___ = 80
96 + ___ = 100
75 + ___ = 80
a. 10, 15, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____
b. 1, 6, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____
c. 17, 22, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____
d. 13, 18, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____
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Counting Dimes, Nickels, and Cents
1. Count and write the total amount in cents.
This coin is called one cent or one penny.We write 1¢.
This coin is called one dime.It is worth ten cents - 10¢.
Count up when finding how many cents total:
Two dimes is 20¢. Four pennies is 4¢. The total is 24 cents.
10¢ 20¢ 21¢ 22¢ 23¢ 24¢
a. ____ ¢
b. ____ ¢
c. ____ ¢
d. ____ ¢
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Quarters
1. Quarters and dimes. Write the total amount in cents.
One quarter is 25 cents.
The word "quarter" means one-fourth. A quarter coin is one-fourth part of a dollar.
One dollar is 100 cents, and is written $1.
=
4 quarters 1 dollar = 100¢
1 dollar = $1
Two quarters = 50¢. Three quarters = 75¢
Count the quarters first since
they have the biggest cent-value.25¢ 35, 45, 55 (count dimes by tens)
56, 57¢
a. b. c.
d. e. f.
g.
h. i.
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