Wednesday, August 27, 2008
Monday, August 25, 2008
First Lessons in Arithmetic - Lesson VI: simple addition and 10
WIKI: A number is a mathematical object used in counting and measuring. A notational symbol which represents a number is called a numeral, but in common usage the word number is used for both the abstract object and the symbol, as well as for the word for the number. In addition to their use in counting and measuring, numerals are often used for labels (telephone numbers), for ordering (serial numbers), and for codes (ISBNs). In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational numbers, irrational numbers, and complex numbers.
Lessons in this series:
Basic Math: Lesson 3- Part 3 - Operations on Numbers
Part 3 of 3. This lesson consists of providing you with a Self-Tutorial on the typical operations done on numbers. These include: absolute value, opposites, addition, subtraction, multiplication, division and simple exponents. Order of Operations is covered in detail. I also explain how to use your graphing calculator to help you perform all these operations.
Basic Math: Lesson 3- Part 2 - Operations on Numbers
Part 2 of 3. This lesson consists of providing you with a Self-Tutorial on the typical operations done on numbers. These include: absolute value, opposites, addition, subtraction, multiplication, division and simple exponents. Order of Operations is covered in detail. I also explain how to use your graphing calculator to help you perform all these operations.
Basic Math: Lesson 3 - Part 1- Operations on Numbers
click here for PDF lesson notes
Part 1 of 3. This lesson consists of providing you with a Self-Tutorial on the typical operations done on numbers. These include: absolute value, opposites, addition, subtraction, multiplication, division and simple exponents. Order of Operations is covered in detail. I also explain how to use your graphing calculator to help you perform all these operations.
First lessons of Arithmetic: Lesson V. - simple addition 9
Click on the image of the First Lessons in Arithmetic and worksheets to enlarge:
WIKI: The most familiar numbers are the natural numbers or counting numbers: one, two, three, and so on.
In the base ten number system, in almost universal use today for arithmetic operations, the symbols for natural numbers are written using ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. In this base ten system, the rightmost digit of a natural number has a place value of one, and every other digit has a place value ten times that of the place value of the digit to its right.
Lessons in this series:
Saturday, August 23, 2008
First lessons of Arithmetic: Lesson IV. simple addition 7 and 8
Click on First Lessons in Arithmetic worksheets to enlarge and print:
WIKI: A number is a mathematical object used in counting and measuring. A notational symbol which represents a number is called a numeral, but in common usage the word number is used for both the abstract object and the symbol, as well as for the word for the number. In addition to their use in counting and measuring, numerals are often used for labels (telephone numbers), for ordering (serial numbers), and for codes (ISBNs). In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational numbers, irrational numbers, and complex numbers.
Lessons in this series:
First Lessons in Arithmetic Lesson III. 5 and 6, Simple Addition
WIKI: A number is a mathematical object used in counting and measuring. A notational symbol which represents a number is called a numeral, but in common usage the word number is used for both the abstract object and the symbol, as well as for the word for the number. In addition to their use in counting and measuring, numerals are often used for labels (telephone numbers), for ordering (serial numbers), and for codes (ISBNs). In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational numbers, irrational numbers, and complex numbers.
First Lessons in Arithmetic - Lesson II. 3 and 4
Basic math worksheet.
Draw 1, 2, 3, 4 fish.
Lessons in this series:
- Introduction and Lesson I
- Lesson II.
- Lesson III.
- Lesson IV.
- Lesson V
- Lesson VI
- Lesson VII.
- Lesson VIII.
- Lesson IX.
- Lesson X.
- Lesson XI.
- Lesson XII
- Lesson XIII.
- Lesson XIV.
- Lesson XV.
WIKI: A numeral system (or system of numeration) is a writing system for expressing numerals, and a mathematical notation for representing numbers of a given set, using graphemes or symbols in a consistent manner.
First lessons in Arithmetic: Introduction and Lesson I. Objects and numbers from 1 to 10
Look at the picture and answer the questions
Lessons in this series:
- Lesson II.
- Lesson III.
- Lesson IV.
- Lesson V
- Lesson VI
- Lesson VII.
- Lesson VIII.
- Lesson IX.
- Lesson X.
- Lesson XI.
- Lesson XII
- Lesson XIII.
- Lesson XIV.
- Lesson XV.
#1 Building numbers with Hundreds -Tens-Ones
Underline them (don't forget to use your ruler).
Write the heading for this lesson.
Underline it using your ruler.
Now you can start your lesson.
Copy and answer this lesson on your paper.
(one number per box on your graph paper.
Make sure your boxes are large enough)
Fill free to copy and print this lesson.
1. Write these down and find the answer in cents.
*dollar = $, cents = ¢ (remember 100 cents = 1 dollar)
1 $ + 1 ¢ = _____¢
1 $ + 2 ¢ = _____¢
1 $ + 3 ¢ = _____¢
1 $ + 4 ¢ = _____¢
1 $ + 5 ¢ = _____¢
1 $ + 6 ¢ = _____¢
1 $ + 7 ¢ = _____¢
1 $ + 8 ¢ = _____¢
1 $ + 9 ¢ = _____¢
2 $ + 8 ¢ = _____¢
6 $ + 9 ¢ = _____¢
3 $ + 4 ¢ = _____¢
7 $ + 6 ¢ = _____¢
2. Write these down and fill in the equation.
106 ¢ = 1 $ + 6 ¢
109 ¢ = ___$ + ___¢
105 ¢ =
108 ¢ =
306 ¢ =
701 ¢ =
505 ¢ =
904 ¢ =
3. Write these down and answer.
*meter = m, centimeter = cm (remember 100 cm = 1 m)
1 m + 7 cm= _____cm
104 cm = ____m + ____cm
106 cm =
8 m + 7 cm =
506 cm =
304 cm =
4. Write these down and answer.
* Hundreds = H, Tens = T, Ones = O
1 H + 1 T + 1 O = 111
1 H + 1 T + 2 O =
1 H + 1 T + 3 O =
1 H + 2 T + 6 O =
2 H + 4 T + 7 O =
8 H + 5 T + 5 O =
111 = 1 H + 1 T + 1 O
115 =
157 =
175 =
236 =
814 =
315 =
248 =
512 =
975 =
382 =
#4 Building numbers in the hundreds and tens
- #3 Building numbers in the hundreds and tens
- #2 Building numbers in the hundreds and tens
- #1 Building numbers in the hundreds
Underline them (don't forget to use your ruler).
Write the heading for this lesson.
Underline it using your ruler.
Now you can start your lesson.
Copy and answer this lesson on your paper.
(one number per box on your graph paper.
Make sure your boxes are large enough)
Fill free to copy and print this lesson.
1. Copy this chart and fill in the missing numbers.
(You may want to print it, cut it out, fill it in and paste it on your paper.)
2. Write down on your paper and count in the Tens:
From 100 to 200:
From 200 to 400:
From 300 backwards to 200:
From 700 backwards to 600:
From 800 to 1000:
From 250 to 360:
From 480 to 640:
From 450 backwards to 370:
From 1000 backwards to 890:
3. Write down on your paper and count in the EVEN Tens (20-1000):
4. Write down on your paper and count in the ODD Tens (10-990):
5. Write down and find the answer (don't forget the (= or +)):
500 + 60
700 + 20
300 + 90
600 + 50
750 = 700+
830 =
670 =
420 =
480-80
370-70
630-30
520-20
200+40
760-60
500+80
810= 800+
Friday, August 22, 2008
#3 Building numbers in the hundreds and tens
- #3 Building numbers in the hundreds and tens
- #2 Building numbers in the hundreds and tens
- #1 Building numbers in the hundreds
Underline them (don't forget to use your ruler).
Write the heading for this lesson.
Underline it using your ruler.
Now you can start your lesson.
Copy and answer this lesson on your paper.
(one number per box on your graph paper.
Make sure your boxes are large enough)
Fill free to copy and print this lesson.
*1 dollar = 100 cents
*10 cents = 1 dime
*10 dimes = 1 dollar
1. Fill in the (=), dimes and cents
300 cents + 70 cents = 370 cents = 37 dimes
600 cents + 10 cents = 610 cents ...
200 cents + 40 cents...
100 cents + 90 cents ...
2. Fill in the (+,=), dimes and cents
5 dollars + 4 dimes= 500 cents + 40 cents = 540 cents = 54 dimes
7 dollars + 3 dimes= 700 cents + 40 cents = 540 cents...
9 dollars + 2 dimes= 900 cents ...
4 dollars + 6 dimes...
3. Fill in the (=), dollars and cents
75 dimes = 7 dollars and 50 cents
43 dimes =...
94 dimes...
36 dimes...
*1 Hundred dollar bill = 10 Ten dollar bills = 100 One dollar bills
*Hundreds (H), Tens (T), and Ones (O)
4. Fill in the (=), Tens (T), and Ones (O)
1 H = 10 T = 100 O
2 H =
... keep going through to 10 H
5. Fill in the (=), Tens (T), and Hundreds (H)
100 O = 10 T = 1 H
200 O =
...keep going through to 1000 O
6. Give your answer in Tens (T)
4 H=
7 H=
3 H=
800 O =
500 O =
900 O =
7. Exchange ...
1 hundred dollar bill into_______ ten dollar bills.
4 ten dollar bills into _________ one dollar bills.
3 hundred dollar bills into _______ one dollar bills.
500 one dollar bills into _________ hundred dollar bills.
60 one dollar bills into ________ ten dollar bills.
*1 H + 5 T = 15 T = 150 O
8. Fill in the answers.
1 H + 7 T = ____ T = ____ O
9 H + 8 T
4 H + 5 T
3 H + 6 T
7 H + 4 T
8 H + 6 T
2 H + 1 T
5 H + 2 T
*170 O = 17 T = 1 H + 7 T
9. Fill in the answers
450 O = ____T = ____ H + ____ T
740 O =
380 O =
260 O =
730 O =
250 O =
980 O =
160 O =
10. Q = question, C = calculation, A = answer
Write the Q:, C: and A: out onto your paper.
A man made some money selling ice cream cones. He has 3 hundred dollar bills, 50 ten dollar bills, and 470 one dollar bills.
Q:
C:
3H =______O, 50 T =______O
add all the ones together:
______O + _______O + 470 O = ______O
now exchange:
_______ O = _______ T = ______ H + _______ T
A:
The ice cream man has __(H)__hundred ____(T)__ dollars.
Thursday, August 21, 2008
#2 Building numbers in the hundreds and tens
Fill free to copy and print this lesson.
*10 cents = 1 dime
*10 dimes = 1 dollar
1. Fill in the dollars, dimes, or cents and (=) and the answers
1 dollar = 10 dimes = 100 cents
2 dollars =20 dimes
3 dollars
4
Keep going through to 10.
2. Fill in the dollars, dimes, or cents and (=) and the answers
100 cents = 10 dimes = 1 dollar
200 cents = 20 dimes
300 cents
400
Keep going through 1000.
3. Make an equal exchange with:
(ie. 2 dollars = 20 dimes, 2 dollars = 200 cents)
7 dollars, 4 dollars, 10 dollars, 80 dimes, 500 cents,
3 dollars, 600 cents, 40 dimes, 90 dimes, 700 cents
4. Fill in the dollars, dimes, or cents and (+,=) and the answers
1 dollar + 1 dime = 11 dimes
1 dollar + 2 dimes =
1 dollar + 3 dimes
1 dollar + 4
1 dollar +
1 dollar
1
Keep going through to 10 dimes =....
2 dollars + 1 dime = 21 dimes
2 dollars + 2 dimes =
2 dollars + 3 dimes
2 dollars + 4
2 dollars +
2 dollars
Keep going through to 10 dimes =....
100 cents + 10 cents = 110 cents
100 cents + 20 cents =
100 cents + 30 cents
100 cents + 40
100 cents +
Keep going through to 100 cents = 100 cents....
200 cents + 10 cents = 210 cents
200 cents + 20 cents =
200 cents + 30 cents
200 cents + 40
200 cents +
Keep going through to 200 cents = 100 cents....
5. Word problems: Q: question, C: calculation, A: answer
Q: 10 dimes are in a 1 dollar bill.
How many dimes are in a 5 dollar bill? 10 dollar bill?
C: 10 dimes + 10 dimes + 10 dimes + 10 dimes + 10 dimes=
10 dimes + 10 dimes + 10 dimes + 10 dimes + 10 dimes +
10 dimes + 10 dimes + 10 dimes + 10 dimes + 10 dimes=
A: There are _________ dimes in a 5 dollar bill.
continue...
Write down your answer in a complete sentence.
Q: 10 dimes are in 1 dollar bill.
How many dimes are in two 5 dollar bills?seven 1 dollar bills?
C: 10 dimes + 10 dimes + 10 dimes + 10 dimes + 10 dimes+
10 dimes + 10 dimes + 10 dimes + 10 dimes + 10 dimes=________
10 dimes+10 dimes+10 dimes+ 10 dimes+10 dimes+
10 dimes+10 dimes=_____
A: Write down your answers in a complete sentences
Wednesday, August 20, 2008
#1 Building numbers in the hundreds
Feel free to copy and print out!
You will need a graph paper notebook (large squares - make it yourself at the link I provided to the right under homeschool links), pencil, eraser, sharpener, ruler.
*100 centimeters (cm) = 1 meter (m)
Q: Question, C: Calculation, A: Answer
1. a) Q: How many cm to one meter?
C: Count the cm on the meter ruler.
A: There are ________ cm in a meter.
b) Q: How long is a meter? cm?
Take a meter step. Use two fingers to make a cm.
*100 cm = 1 meter (m);
100 cents (¢) = 1 dollar ($)
2. a) Q: How many cents are in a dollar?
C: 1 • 100 = __________
A: There are ________ cents in a dollar.
b) Q: How many cents in 5 dollars? 10 dollars?
C:
A:
c) Anna has 300 cents.
Q: From the information above, what can you calculate?
C:
A:
*100 cm = 1 meter;
100 cents (¢) = 1 dollar ($)
3. a) How many cm are in 2 meters,
3, 4, 5, 6, 7, 8, 9,10m?
b) How many cents are in 2 dollars, 3, 4, 5, 6, 7, 8, 9, 10 $?_
4. Fill in the answers:
5m =____________cm
9m =____________cm
3m =____________cm
2m =____________cm
8$ =_____________¢
4$ = ____________¢
7$ = ____________¢
6$ =_____________¢
800cm =_________m
700cm =_________m
200cm =__________m
400cm =_________m
900¢ =__________$
300¢ =__________$
400¢ = ________$
600¢ =_________$
*1 Hundred-dollar bill = 100one dollar bills
Add the (H) and (o) and the answer!
100 o = 1 H
100 o = _________ H200 o =
400 o =
1 H = 100 o
2 H =
9 H =
8 H =
3 H =
600 o = __________H
7 H =
300 o =
4 H =
500 o =___________ H
*10 H = 1 Thousand (T)
Fill in the answers.
1 H+1 H =
2 H+1 H =
keep going through to 10…
100+100 =
200+100 =
300______________finish it
Keep going through to 1000…
1 T–1 H =
9 H– 1H=
8___________________finish it!
Keep going down through to 1H.
1000–100 =
900-100=
800_____________________finish it!
Keep going down through to 100… keep going…
* Write these in your Math notebook.
Fill in the (=) and answer.
3 H +5 H, 600+ 300, 7H–5H, 900 – 800,
7 H +3 H, 800+200, 8H –3 H, 600 – 400,
5H +2 H, 700+100, 1T –6H, 800 – 500,
2 H +6 H, 500+500, 5H –5H, 700 – 300,
400 + 600, 200+700, 700- 600, 100+700,
900 – 500, 500- 400, 700+200 , 900 – 700,
600+200, 800+100, 1000-800, 200+500,
800- 400, 1000-700, 600+400, 500-300
USA:
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