CURR 383: Elementary Mathematics
|
|
|
- Berniece Griffith
- 10 years ago
- Views:
Transcription
1 CURR 383: Elementary Mathematics Class 8: Measurement Tuesday January 26, 2010
2 Agenda Openers: Measurement Referents, One Minute Challenge, Useful Units and Fun Facts How much is a million? (video based on book by David Schwartz) The Megapenny Project How big is a foot? (a book by Rolf Meyer) and some shoe size history Making a Simple Protractor The Aboriginal method for measuring the height of a tree How big is a cubic metre?
3 Referents
4 Other Everyday Referents
5 Useful Units How long would it take to count, out loud, by ones to 1 million? 1 billion? How many grains on sand in 1 cup? 1 bathtub? 1 classroom? Do you know anyone 1 billion seconds old? Who? Why don t we measure age in seconds? What kind of vehicles would you need to transport 1 billion pennies? The Megapenny Project How much is a million? by David Schwartz
6 The MegaPenny Project Understanding the size of numbers using pennies
7 One Penny Most people in North America have seen them and you probably have one in your pocket right now. Using this small metal disk, with a size and weight familiar to almost everyone. value width height thickness weight 1, (one cent) 0.75 inches, (3/4 of an inch) 0.75 inches, (3/4 of an inch) inches, (1/16 of an inch) 0.1 ounces, (1/10 of an ounce) area square inches
8 Ten Pennies Place one penny on each of your ten fingers. When we multiply our one penny by a factor of ten, we get ten pennies. value width (side-by-side) height (stacked) thickness weight area (laid flat) 10, (ten cents) 7.5 inches 5/8 of an inch inches, (1/16 of an inch) 1.0 ounce square inches
9 Sixteen Pennies Lay sixteen pennies in a line and you have one foot. Stack them and you have an inch. value width (side-by-side) height (stacked) thickness weight area (laid flat) 16, (sixteen cents) 12 inches, (one foot) 1 inch inches, (1/16 of an inch) 1.6 ounces 9 square inches
10 One Thousand Pennies One thousand pennies in your pocket would be the same as having 20 rolls of pennies in your pocket from a bank. 5 pennies wide x 5 pennies high x 40 pennies tall value width height thickness weight height stacked area (laid flat) $10.00, (Ten dollars and no cents) 3.75 inches 3.75 inches 2.5 inches 100 ounces, (6.25 pounds) 62.4 inches, (5.2 feet) square inches (3.9 square feet)
11 One Hundred Thousand Pennies Ninety-eight thousand three hundred and four Pennies [ Two cubic feet ] Doubling our 50,000 pennies to 100,000, we now have two one-foot cubes. Given, this wasn't a big jump, but now we're going to start climbing the numerical ladder by powers of ten. value $ (Nine hundred eightythree dollars and four cents) width height thickness weight height stacked 24 inches, (two feet) 12 inches, (one foot) 12 inches, (one foot) pounds 512 feet $98,304 area (laid flat) 384 square feet
12 Fifty Thousand Pennies [16w x 16h x 192 tall] one cubic foot Forty-nine thousand one hundred and fifty-two Pennies $49,152 Remember the stack of 16 pennies? It was one inch tall. Well, take 12 of those and stack them and you'll have onefoot-tall stack. The cube above is made up of 256 of those one-foot stacks, making one cubic foot of pennies. Remember this cube, since it will be the building block for all upcoming penny-structures you see. value $ (Four hundred ninety-one dollars and fifty-two cents) width height thickness weight height stacked area (laid flat) 12 inches, (one foot) 12 inches, (one foot) 12 inches, (one foot) 4,915.2 ounces, (307.2 pounds) 3,072 inches, (256 feet) 192 square feet
13 SCALE REFERENCE 5 Feet, 10 inches G-Money
14 One Million Pennies One million, three thousand, seven hundred and seventy-six Pennies [ A wall five feet by four feet by one feet thick with a 9-inch cube stepstool $1,003,77 Say hello to our friend G-Money. Now that the pennies have really begun to pile up, he'll be standing in for scale. G-Money is about 5 feet, 10 inches tall, and he weighs about 180 pounds, or about 35 times less than the 1 million pennies stacked beside him. value $10, (Ten thousand, thirty-seven dollars and seventy-six cents) width height thickness weight ] Four feet Five feet 12 inches, (one foot) pounds (3.14 tons) height stacked 5,228 feet ( 0.99 Miles ) area (laid flat) 3,921 square feet
15 Ten Million Pennies Ten Million cents. If you laid these all out flat, side-by-side, like a huge carpet of pennies, it would nearly cover one acre. Ten million, seventeen thousand and twentyfour Pennies [ A cube 6 x 6 x 6 feet ] $10,017,024 value $100, (One hundred thousand, one hundred seventy dollars and twenty-four cents) width height thickness weight height stacked area (laid flat) Six feet Six feet Six feet 31.3 tons 9.88 Miles 39,129 square feet (0.9 acres)
![Ten million, seventeen thousand and twentyfour Pennies [ A cube 6 x 6 x 6 feet ] $10,017,024 value $100,170.](/docs-images/43/15359038/images/page_15.jpg "24 (One hundred thousand, one hundred seventy dollars and twenty-four cents) width height thickness weight height")
16 SCALE REFERENCE Blue Whale largest living animal, the Blue Whale, weighs less than 150 tons as an adult longest ever recorded was a 108 ft female modern blue whales in the Southern Hemisphere reach lengths of feet Northern Hemisphere counterparts are smaller, on average 75 to 80 feet (23 to 24.5 m)
17 One Hundred Million Pennies Since these cubes are mostly dense metal, their weight is impressive. One hundred million pennies weighs over 300 tons. For comparison, the largest living animal, the Blue Whale, weighs less than 150 tons as an adult. One hundred million, sixteen thousand, six hundred and forty Pennies [ Two cubes, one 12x12x12 feet, the other 7x7x7 feet ] $ 100,016,640 height thickness value width total weight height stacked area (laid flat) $1,000, (One million, one hundred sixty-six dollars and forty cents) 12 feet (7 feet) 12 feet (7 feet) 12 feet (7 feet) tons 99 Miles 390,690 square feet (9 acres)
![One hundred million, sixteen thousand, six hundred and forty Pennies [ Two cubes, one 12x12x12 feet, the other 7x7x7 feet ] $ 100,016,640 height thickness](/docs-images/43/15359038/images/page_17.jpg "value width total weight height stacked area (laid flat) $1,000,166.")
18 SCALE REFERENCE 9 Feet Wide X 11 Feet High X 41 Feet Long
19 One Billion Pennies value If you were to stack all these pennies in a single pile, one atop the other, the stack would reach nearly one thousand miles high. For comparison, note that the Space Shuttle typically orbits only 225 miles above the Earth's surface. $10,000, (Ten million, one hundred eighty-one dollars and seventy-six cents) One billion, eighteen thousand, one hundred and seventy-six Pennies [ Five school buses. ] $1,000,018,176 width height thickness total weight height stacked area (laid flat) 45 feet 11 feet 41 feet 3,125 tons 987 Miles 3,906,321 square feet (89.7 acres)
20 SCALE REFERENCE
21 Ten Billion Pennies Current estimates place the world's population at six billion people. The pile of pennies above would then be nearly enough for two pennies for every person on Earth. The U.S.Mint currently manufactures about this many pennies every year. Also, note G-Money standing in the front. Ten billion, twenty-three thousand, five hundred and fifty-two Pennies [ Fifty school buses. ] $10,000,023,552 value $100,000, Value (One hundred million, two hundred thirty-five dollars and fifty-two cents) thickness width total weight height stacked area (laid flat) height 90 feet 11 feet 205 feet 31,250 tons 9,864 Miles 897 acres
22 One Hundred Billion Pennies If you took these hundred billion pennies and laid them out like a carpet, you could cover 14 square miles. The cube you see is made up of over 4.1 million stacks of 24,330 pennies. One hundred billion, seventeen million, six hundred fifty-nine thousand three hundred and thirty-six Pennies [ One cube measuring 127 x 127 x 127 feet ] $100,017,659,336 value width height thickness total weight height stacked area (laid flat) $1,000,176, (One billion, one hundred seventy-six thousand five hundred and ninety-three dollars and thirty-six cents) feet feet feet 312,555.2 tons 98,660 Miles 8,969 acres
23 Two Hundred Billion Pennies Since the first penny was minted in 1787, until present-day, over 300 billion pennies have been minted in the United States. Two hundred billion, thirty-five million, three hundred eighteen thousand six hundred and seventy-two Pennies [ Two cubes, each measuring 127 x 127 x 127 feet ] $200,035,318,672 height value thickness total weight width height stacked area (laid flat) $2,000,353, (Two billion, three hundred fiftythree thousand one hundred and eighty-six dollars and seventy-two cents) feet feet feet 625,110.4 tons 197,320 Miles 17,938 acres
24 One Trillion Pennies value $10,000,000, (Ten billion, one hundred and sixty-six dollars and forty cents) width height 273 feet 273 feet One trillion, sixteen thousand six hundred and forty Pennies [ One cube measuring 273 x 273 x 273 feet ] $1,000,000,016,640 The same football field as the last two pages, set beside our new cube for scale. Notice our friend G- Money, still barely visible as a speck at lower left. thickness 273 feet total weight height stacked area (laid flat) 3,125,000 tons 986,426 Miles 89,675.2 acres
25 SCALE REFERENCE
26 One Trillion Pennies (part II) From right to left (to scale), we have the same old football field, then the Lincoln Memorial (yes, the one pictured on the back of the penny), then the Washington Monument (555 feet tall), then our cube of one trillion pennies, then the Empire State Building (1,250 feet tall), then the Sears Tower (1,450 feet tall). One trillion, sixteen thousand six hundred and forty Pennies [ One cube measuring 273 x 273 x 273 feet ] $1,000,000,016,640 value $10,000,000, (Ten billion, one hundred and sixty-six dollars and forty cents) width height thickness total weight height stacked area (laid flat) 273 feet 273 feet 273 feet 3,125,000 tons 986,426 Miles 89,675.2 acres
27 The Empire State Building 1.8 Trillion Pennies New York's Empire State Building contains 37 million cubic feet of space (minus the antenna structure). Using our cubic foot of pennies (49,152 total), it's just a simple multiplication problem - 37,000,000 x 49,152 = 1,818,624,000,000 pennies. One trillion, eight hundred eighteen billion, six hundred twenty-four million Pennies $1,818,624,000,000 value total weight height stacked area (laid flat) $18,186,240, (Eighteen billion, one hundred eighty-six million, two hundred forty thousand dollars and zero cents) 5,683,200 tons 1,793,939 Miles 163,085 acres
28 The Sears Tower 2.6 Trillion Pennies Chicago's Sears Tower occupies 53.4 million cubic feet of space. Using our cubic foot of pennies (49,152 total), it's once again just another multiplication problem - 53,379,000 x 49,152 = 2,623,684,608,000 pennies. Two trillion, six hundred twentythree billion, six hundred eightyfour million six hundred and eight thousand Pennies $2,623,684,608,000 value total weight height stacked area (laid flat) $26,236,846, (Twenty-six billion, two hundred thirty-six million, eight hundred forty-six thousand and eighty dollars) 8,199,014 tons 2,588,073 Miles 235,279.3 acres
29 One Quadrillion Pennies Here we have the buildings we used for scale back at a trillion, but they're now a bit dwarfed by our new cube of pennies. This is a quadrillion, or a thousand times one trillion. This cube is roughly a half-mile wide and would weigh an astonishing three billion tons. One quadrillion, sixty-seven billion, eighty-eight million, three hundred and eightyfour thousand Pennies [ One cube measuring 2,730 x 2,730 x 2,730 feet ] $1,000,067,088,384,000 value width height thickness total weight height stacked area (laid flat) $10,000,670,883, (Ten trillion, six hundred seventy million, eight hundred eighty-three thousand, eight hundred and forty dollars and zero cents) 2,730 feet 2,730 feet 2,730 feet 3,125,000,000 tons 986,426,768 Miles 89,675,161 acres
30 One Quintillion Pennies value $10,000,670,883,840, (Ten quadrillion, six hundred seventy billion, eight hundred eighty-three million, eight hundred and forty thousand dollars and zero cents) Here we have the buildings we used for scale back at a trillion, but they're now a bit dwarfed by our new cube of pennies. This is width a quadrillion, 27,300 or a thousand feet times one trillion. This cube is roughly a half-mile wide and would weigh an astonishing three billion tons. One quintillion, sixty-seven trillion, eighty-eight billion, three hundred and eightyfour million Pennies [ One cube measuring 27,300 x 27,300 x 27,300 feet ] $1,000,067,088,384,000,000 height thickness total weight height stacked area (laid flat) 27,300 feet 27,300 feet 3,125,000,000,000 tons 986,426,767,677 Miles 89,675,160,698 acres
31 One Quintillion Pennies Now we've stepped up another factor of 1,000. One quintillion pennies. This many pennies, if laid out flat like a carpet, would cover the surface of the earth - twice. If you look hard, you can still see the Sears Tower and other buildings at lower right. Another way to see it is to realize Here we have the buildings we used for scale back that at Mt. a trillion, Everest but (29,000 they're now ft.) is a only bit dwarfed by our new cube of pennies. This is a quadrillion, 1,700 feet or taller a thousand than this times 27,300-foot one trillion. This cube is roughly a half-mile wide and would weigh cube. an astonishing three billion tons. Three trillion tons of pennies is quite enough. To imagine larger cubes, (stepping by factors of 1,000), just imagine cubes roughly ten times larger than the last one. For instance, one quintillion pennies makes the cube above - about 5 miles on each side. If you step up to one sextillion, imagine a cube about 50 miles wide tall and thick
32 Table of Very Big Numbers (from 1 to ) one 1 ten 10 hundred 100 thousand 1,000 million 1,000,000 billion 1,000,000,000 trillion 1,000,000,000,000 quadrillion 1,000,000,000,000,000 quintillion 1,000,000,000,000,000,000 sextillion 1,000,000,000,000,000,000,000 septillion 1,000,000,000,000,000,000,000,000 octillion 1,000,000,000,000,000,000,000,000,000 nonillion 1,000,000,000,000,000,000,000,000,000,000 decillion 1,000,000,000,000,000,000,000,000,000,000,000 undecillion 1,000,000,000,000,000,000,000,000,000,000,000,000
33 duodecillion 1,000,000,000,000,000,000,000,000,000,000,000,000,000 tredecillion 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000 quattuordecillion 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 quindecillion 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 sexdecillion 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 septendecillion 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 octodecillion 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 novemdecillion 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 vigintillion unvigintillion duovigintillion trevigintillion quattuorvigintillion quinvigintillion sexvigintillion 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
34 septenvigintillion 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000 octovigintillion 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000 novemvigintillion 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 trigintillion untrigintillion duotrigintillion googol (google) 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,00 0 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,00 0,000 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,00 0,000,000 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,0 00,000,000
35 tretrigintillion quattuortrigintillion quintrigintillion sextrigintillion septentrigintillion octotrigintillion novemtrigintillion 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,0 00,000,000,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,0 00,000,000,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,0 00,000,000,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,0 00,000,000,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,0 00,000,000,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,0 00,000,000,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000,000 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,0 00,000,000,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000,000,000,000,000,000,000
36 One Penny You Have to Start Somewhere
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54 Shoe Size History
55 Shoe Size History
56 Coffee Filter Protractor Cut a coffee filter in half. Fold the filter in half. Mark the fold with a marker and the angle measure. Fold in half again. Mark and indicate the angle measure. Your coffee filter has creases? What is the angle measure of each crease? How could you use this in class?
57 How to Measure the Height of a Tree Video 5min.com
58 How big is a cubic metre? Building a cubic metre in the classroom Why? Alternatives? Questions?
One million, eight hundred forty-five thousand, twenty-seven dollars. 1, 8 4 5, 0 2 7
Section 1.1 Place Value Whole numbers appear in everyday situations. We encounter whole numbers in ATM machines when we withdraw money, conduct an inventory, carry out a census count, and when counting
5 3.00 0.60 5 3.00-30 00 1 3 = 3 5 = Step 1: Divide the numerator by the denominator to get a decimal.
Mixed Numbers Decimals Changing A MIXED NUMBER TO A DECIMAL: Step 1: Divide the numerator by the denominator to get a decimal. whole number numerator denominator 1 3 3 5 numerator denominator decimal 5
Place Value of Whole Numbers (through 999,999) 1. What numeral means the same as 40,000 + 2,000 + 50 + 7?
Place Value of Whole Numbers (through 999,999) 1. What numeral means the same as 40,000 + 2,000 + 50 + 7? A. 42,507. 42,057. 40,057. 40,257 2. How is the numeral 907,203 written in words? A. Ninety-seven
Whole Number and Decimal Place Values
Whole Number and Decimal Place Values We will begin our review of place values with a look at whole numbers. When writing large numbers it is common practice to separate them into groups of three using
Place Value of Whole Numbers Through One Million
Place Value of Whole Numbers Through One Million Brief Overview: This learning unit develops and reviews place value concepts through millions. It involves the utilization of manipulatives. The lessons
What numbers could you use to describe a building or infrastructure project?
Worksheet 1 Questions about numbers What numbers could you use to describe a building or infrastructure project? What numbers could you use to describe the job of architect? What questions would you ask
Exercise 4. Converting Numbers To Words And Words To Numbers. (This will help you to write cheques, stories and legal papers)
Exercise 4 Converting Numbers To Words And Words To Numbers. (This will help you to write cheques, stories and legal papers) At the end of this exercise you will: Be able to convert numbers to the written
Level I Math Black Line Masters Toolkit
Level I Math Black Line Masters Toolkit NSSAL (Draft) C. David Pilmer 2012 (Last Updated: February, 2013) This resource is the intellectual property of the Adult Education Division of the Nova Scotia Department
A Bill Regular Session, 2015 HOUSE BILL 1663
Stricken language would be deleted from and underlined language would be added to present law. 0 State of Arkansas 0th General Assembly As Engrossed: S// A Bill Regular Session, HOUSE BILL By: Representative
Accuplacer Arithmetic Study Guide
Accuplacer Arithmetic Study Guide Section One: Terms Numerator: The number on top of a fraction which tells how many parts you have. Denominator: The number on the bottom of a fraction which tells how
Unit 2 Number and Operations in Base Ten: Place Value, Addition, and Subtraction
Unit 2 Number and Operations in Base Ten: Place Value, Addition, and Subtraction Introduction In this unit, students will review the place value system for reading and writing numbers in base ten. Students
Decimals Part I. Writing Word Names for Decimals. Steps: 1. Read the whole number. 2. Read the decimal point as and
Decimals Part I Decimal is a real number expressed in base 10. It is composed of digits and one decimal point. Each digit in relation to the decimal point has a particular value. Since decimal is a base
Permission is given for the making of copies for use in the home or classroom of the purchaser only.
Copyright 2005 Second Edition 2008 Teresa Evans. All rights reserved. Permission is given for the making of copies for use in the home or classroom of the purchaser only. Part 1 Math Card Games to Play
DEPARTMENT OF HEALTH CARE FINANCE & DEPARTMENT ON DISABILITY SERVICES PUBLIC NOTICE OF PROPOSED AMENDMENTS
DEPARTMENT OF HEALTH CARE FINANCE & DEPARTMENT ON DISABILITY SERVICES PUBLIC NOTICE OF PROPOSED AMENDMENTS Home and Community-Based Services Waiver for Persons with Intellectual and Developmental Disabilities
4 9 7, 5 4 8, 6 0 1, 3 7 2.
1.1 Digits and Place Value 1. Understand Digits and Place Value Digits are mathematical symbols that are arranged in a specific order to represent numeric values. There are ten different digits in our
2. A painted 2 x 2 x 2 cube is cut into 8 unit cubes. What fraction of the total surface area of the 8 small cubes is painted?
Black Surface Area and Volume (Note: when converting between length, volume, and mass, 1 cm 3 equals 1 ml 3, and 1 ml 3 equals 1 gram) 1. A rectangular container, 25 cm long, 18 cm wide, and 10 cm high,
Forensic Statistics. From the ground up. 15 th International Symposium on Human Identification
Forensic Statistics 15 th International Symposium on Human Identification From the ground up UNTHSC John V. Planz, Ph.D. UNT Health Science Center at Fort Worth Why so much attention to statistics? Exclusions
Revision Notes Adult Numeracy Level 2
Revision Notes Adult Numeracy Level 2 Place Value The use of place value from earlier levels applies but is extended to all sizes of numbers. The values of columns are: Millions Hundred thousands Ten thousands
Fractions. 1/ 2 a / one half 1/ 3 a / one third 1/ 4 a / one quarter (AmE also. 2 use over over
2070 Appendix 3 3 Numbers Writing and saying numbers Numbers over 20 20 2 are written with a hyphen 35 thirty-five 67 sixty-seven 2 When writing a cheque we often use words for the pounds or dollars and
Introduction to Whole Numbers
Section 1.1 PRE-ACTIVITY PREPARATION Introduction to Whole Numbers Annette has just landed a terrific job as a middle school teacher. Instead of renting an apartment, she decides to buy a small condominium.
118 One hundred Eighteen
1 2 3 4 5 6 7 8 9 10 ten 11 Eleven 12 Twelve 13 Thirteen 14 Fourteen 15 Fifteen 16 Sixteen 17 Seventeen 18 Eighteen 19 Nineteen 20 Twenty 21 Twenty 22 Twenty 23 Twenty 24 Twenty 25 Twenty 26 Twenty 27
Assessment For The California Mathematics Standards Grade 3
Introduction: Summary of Goals GRADE THREE By the end of grade three, students deepen their understanding of place value and their understanding of and skill with addition, subtraction, multiplication,
Reading and Writing Small Numbers
Reading Writing Small Numbers Objective To read write small numbers in stard exped notations wwweverydaymathonlinecom epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment
VOLUME of Rectangular Prisms Volume is the measure of occupied by a solid region.
Math 6 NOTES 7.5 Name VOLUME of Rectangular Prisms Volume is the measure of occupied by a solid region. **The formula for the volume of a rectangular prism is:** l = length w = width h = height Study Tip:
Mental Math Grade 3 MM 3-3 MM 3-1. Count by tens. What comes next? 1. Start at 30... (40) 1. Write the number that is 5 tens and 2 ones.
MM 3-1 Count by tens. What comes next? 1. Start at 30... (40) 2. Start at 60... (70) 3. Start at 20... (30) 4. What is 40 + 30 = (70) 5. What is 30 + 60 = (90) 6. What are the next 3 numbers? 2, 4, 6,
Chapter 5. Decimals. Use the calculator.
Chapter 5. Decimals 5.1 An Introduction to the Decimals 5.2 Adding and Subtracting Decimals 5.3 Multiplying Decimals 5.4 Dividing Decimals 5.5 Fractions and Decimals 5.6 Square Roots 5.7 Solving Equations
ELIZABETHS II BEGINS
APPROPRIATION ACT. ANNO SEXTO DECIMO ELIZABETHS II BEGINS Act No. 56, 1967. An Act to appropriate out of the Consolidated Revenue Fund, and certain other Funds, sums to make good the supplies granted for
Day 1. 1. What number is five cubed? 2. A circle has radius r. What is the formula for the area of the circle?
Mental Arithmetic Questions 1. What number is five cubed? KS3 MATHEMATICS 10 4 10 Level 7 Questions Day 1 2. A circle has radius r. What is the formula for the area of the circle? 3. Jenny and Mark share
HONEY, I SHRUNK THE SOLAR SYSTEM
OVERVIEW HONEY, I SHRUNK THE SOLAR SYSTEM MODIFIED VERSION OF A SOLAR SYSTEM SCALE MODEL ACTIVITY FROM UNDERSTANDING SCIENCE LESSONS Students will construct a scale model of the solar system using a fitness
4 th Grade Summer Mathematics Review #1. Name: 1. How many sides does each polygon have? 2. What is the rule for this function machine?
. How many sides does each polygon have? th Grade Summer Mathematics Review #. What is the rule for this function machine? A. Pentagon B. Nonagon C. Octagon D. Quadrilateral. List all of the factors of
Area is a measure of how much space is occupied by a figure. 1cm 1cm
Area Area is a measure of how much space is occupied by a figure. Area is measured in square units. For example, one square centimeter (cm ) is 1cm wide and 1cm tall. 1cm 1cm A figure s area is the number
10-4-10 Year 9 mathematics: holiday revision. 2 How many nines are there in fifty-four?
DAY 1 Mental questions 1 Multiply seven by seven. 49 2 How many nines are there in fifty-four? 54 9 = 6 6 3 What number should you add to negative three to get the answer five? 8 4 Add two point five to
1. Title: Relative Sizes and Distance in the Solar System: Introducing Powers of Ten
1. Title: Relative Sizes and Distance in the Solar System: Introducing Powers of Ten Here we're going to learn how big the Sun is relative to the different types of planet in our Solar System and the huge
322 No. 33429 GOVERNMENT GAZETTE, 6 AUGUST 2010
322 No. 33429 GOVERNMENT GAZETTE, 6 AUGUST 2010 {South Gauteng High Court) Case No. 30098/09 In the matter between: THE ISLANDS HOME OWNERS ASSOCIATION (an association incorporated under section 21) (Reg.
Representing Decimals (pages 102 105)
A Representing Decimals (pages 102 105) Decimals are numbers that are expressed using a decimal point. The decimal point separates the whole number part of the decimal from the part that is less than one.
DIMENSIONAL ANALYSIS #2
DIMENSIONAL ANALYSIS #2 Area is measured in square units, such as square feet or square centimeters. These units can be abbreviated as ft 2 (square feet) and cm 2 (square centimeters). For example, we
Version 01 7540004661. Part 1 Addition
Version 01 7540004661 Part 1 Addition Survive Math 5 Part 1 Addition Survive Math 5 Addition and Subtraction i This content is Copyright 2005 Open School BC, all rights reserved. Open School BC content
Imperial and metric quiz
Level A 1. Inches are a metric measure of length. 2. Pints are smaller than gallons. 3. 1 foot is the same as: A) 12 inches B) 14 inches C) 16 inches D) 3 yards 4. foot is usually shortened to: A) 1 f
MEASUREMENTS. U.S. CUSTOMARY SYSTEM OF MEASUREMENT LENGTH The standard U.S. Customary System units of length are inch, foot, yard, and mile.
MEASUREMENTS A measurement includes a number and a unit. 3 feet 7 minutes 12 gallons Standard units of measurement have been established to simplify trade and commerce. TIME Equivalences between units
Sect 6.7 - Solving Equations Using the Zero Product Rule
Sect 6.7 - Solving Equations Using the Zero Product Rule 116 Concept #1: Definition of a Quadratic Equation A quadratic equation is an equation that can be written in the form ax 2 + bx + c = 0 (referred
Project 16 - PLAYING THE STOCK MARKET FOR GAIN OR LOSS
Project 16 - PLAYING THE STOCK MARKET FOR GAIN OR LOSS Introduction: We hear of people who invest in stock and make a fortune. We do not hear much about the people who buy stock and lose money, sometimes
Measurements 1. BIRKBECK MATHS SUPPORT www.mathsupport.wordpress.com. In this section we will look at. Helping you practice. Online Quizzes and Videos
BIRKBECK MATHS SUPPORT www.mathsupport.wordpress.com Measurements 1 In this section we will look at - Examples of everyday measurement - Some units we use to take measurements - Symbols for units and converting
These tests contain questions ranging from Level 3 to Level 4. They get progressively more difficult. Children should have five seconds to
These tests contain questions ranging from Level to Level. They get progressively more difficult. Children should have five seconds to answer questions in each test and ten seconds to answer questions.
Mental Questions. Day 1. 1. What number is five cubed? 2. A circle has radius r. What is the formula for the area of the circle?
Mental Questions 1. What number is five cubed? KS3 MATHEMATICS 10 4 10 Level 8 Questions Day 1 2. A circle has radius r. What is the formula for the area of the circle? 3. Jenny and Mark share some money
The Lobster Problem A Lesson for Fifth and Sixth Graders
The Lobster Problem A Lesson for Fifth and Sixth Graders by Carrie De Francisco and Marilyn Burns From Online Newsletter Issue Number 10, Summer 2003 Money is a useful model for helping students make sense
One basic concept in math is that if we multiply a number by 1, the result is equal to the original number. For example,
MA 35 Lecture - Introduction to Unit Conversions Tuesday, March 24, 205. Objectives: Introduce the concept of doing algebra on units. One basic concept in math is that if we multiply a number by, the result
Area of a triangle: The area of a triangle can be found with the following formula: 1. 2. 3. 12in
Area Review Area of a triangle: The area of a triangle can be found with the following formula: 1 A 2 bh or A bh 2 Solve: Find the area of each triangle. 1. 2. 3. 5in4in 11in 12in 9in 21in 14in 19in 13in
Calculating Area and Volume of Ponds and Tanks
SRAC Publication No. 103 Southern Regional Aquaculture Center August 1991 Calculating Area and Volume of Ponds and Tanks Michael P. Masser and John W. Jensen* Good fish farm managers must know the area
Has difficulty with counting reliably in tens from a multiple of ten
Has difficulty with counting reliably in tens from a multiple of ten Opportunity for: looking for patterns 5 YR / 100-square Tens cards (Resource sheet 24) Multiples of ten (10 100) written on A5 pieces
NS3-1: Place Value Ones, Tens, and Hundreds page 33
NS3-1: Place Value Ones, Tens, and Hundreds page 33 1. Write the place value of the underlined digit. a) 17 ones b) 98 REMEMBER: 3 7 5 c) 24 d) 63 e) 381 f) 972 g) 457 h) 79 i) 261 j) 8 2. Give the place
NUMBERS AND THE NUMBER SYSTEM
NUMBERS AND THE NUMBER SYSTEM Pupils should be taught to: Know the number names and recite them in order, from and back to zero As outcomes, Year 1 pupils should, for example: Join in rhymes like: One,
Multiplying Three-Digit Numbers by Three-Digit Numbers
Flash Cards 9 and Set L Speed Drill, page 66 Multiplying Three-Digit Numbers by Three-Digit Numbers Follow the steps to multiply 738 by 6. Remember to keep all digits in the correct column. Step Multiply
Big. Deal. 12 The Last Word Supersized Speed to Market David S. Layton
12 The Last Word Supersized Speed to Market David S. Layton A Quarterly Publication from Layton Construction Company www.laytonconstruction.com Winter 2013 Big Deal Marshalls Distribution Center Page 4
Indicator 2: Use a variety of algebraic concepts and methods to solve equations and inequalities.
3 rd Grade Math Learning Targets Algebra: Indicator 1: Use procedures to transform algebraic expressions. 3.A.1.1. Students are able to explain the relationship between repeated addition and multiplication.
FORM 6-K. SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549. Report of Foreign Private Issuer
FORM 6-K SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 Report of Foreign Private Issuer Pursuant to Rule 13a-16 or 15d-16 of the Securities Exchange Act of 1934 For the month of July, 2010
NASA Explorer Schools Pre-Algebra Unit Lesson 2 Student Workbook. Solar System Math. Comparing Mass, Gravity, Composition, & Density
National Aeronautics and Space Administration NASA Explorer Schools Pre-Algebra Unit Lesson 2 Student Workbook Solar System Math Comparing Mass, Gravity, Composition, & Density What interval of values
Introduction to Decimals
Introduction to Decimals Reading and Writing Decimals: Note: There is a relationship between fractions and numbers written in decimal notation. Three-tenths 10 0. 1 zero 1 decimal place Three- 0. 0 100
MD5-26 Stacking Blocks Pages 115 116
MD5-26 Stacking Blocks Pages 115 116 STANDARDS 5.MD.C.4 Goals Students will find the number of cubes in a rectangular stack and develop the formula length width height for the number of cubes in a stack.
Mathematics tests. Mark scheme KEY STAGE 3. for Mental mathematics tests A, B and C LOWER TIER & HIGHER TIERS. National curriculum assessments
Ma KEY STAGE LOWER TIER & HIGHER TIERS Mathematics tests Mark scheme for Mental mathematics tests A, B and C 2008 National curriculum assessments QCA wishes to make its publications widely accessible.
Cast Iron Radiator Heating Capacity Guide
Columbia Heating Products Company 1409 Rome Rd Baltimore, Maryland 21227 410-242-5300 Toll Free 800-645-7845 www.columbiaheating.com Use this handy guide to determine how much heat existing "old style"
Exploring Ones, Tens, and Hundreds with Base Ten Blocks A Lesson for Third Graders
Exploring Ones, Tens, and Hundreds with Base Ten Blocks A Lesson for Third Graders by Maryann Wickett and Marilyn Burns From Online Newsletter Issue Number 19, Fall 2005 In this lesson, excerpted from
Area and Circumference
4.4 Area and Circumference 4.4 OBJECTIVES 1. Use p to find the circumference of a circle 2. Use p to find the area of a circle 3. Find the area of a parallelogram 4. Find the area of a triangle 5. Convert
Buoyancy Boats Florida Sunshine State Science Standards: Objectives Engage: Explore:
Buoyancy Boats Florida Sunshine State Science Standards: SC.C.2.3.1 The student knows that many forces act at a distance. SC.C.2.3.2 The student knows common contact forces. SC.C.2.3.3 The student knows
MEASUREMENT. Historical records indicate that the first units of length were based on people s hands, feet and arms. The measurements were:
MEASUREMENT Introduction: People created systems of measurement to address practical problems such as finding the distance between two places, finding the length, width or height of a building, finding
PRO PANELS. 1-800-525-4159 www.propanels.com. the artist s choice in display designed by artists, for artists. voice: 214-350-5765 fax: 214-350-7372
PRO PANELS by MD Enterprises the artist s choice in display designed by artists, for artists 1-800-525-4159 www.propanels.com voice: 214-350-5765 fax: 214-350-7372 MD Enterprises 1-800-525-4159 voice:
WEIGHTS AND MEASURES. Linear Measure. 1 Foot12 inches. 1 Yard 3 feet - 36 inches. 1 Rod 5 1/2 yards - 16 1/2 feet
WEIGHTS AND MEASURES Linear Measure 1 Foot12 inches 1 Yard 3 feet - 36 inches 1 Rod 5 1/2 yards - 16 1/2 feet 1 Furlong 40 rods - 220 yards - 660 feet 1 Mile 8 furlongs - 320 rods - 1,760 yards 5,280 feet
Unit 6 Number and Operations in Base Ten: Decimals
Unit 6 Number and Operations in Base Ten: Decimals Introduction Students will extend the place value system to decimals. They will apply their understanding of models for decimals and decimal notation,
Possible Stage Two Mathematics Test Topics
Possible Stage Two Mathematics Test Topics The Stage Two Mathematics Test questions are designed to be answerable by a good problem-solver with a strong mathematics background. It is based mainly on material
METRIC CONVERSION TABLE Multiply By To Obtain Millimetres 0.03937 Inches Millimetres 0.003281 Feet Metres 3.281 Feet Kilometres 0.
Linear Measure Square Measure or Area Volume or Capacity Mass Density Force* Pressure* or Stress* Temperature METRIC CONVERSION TABLE Multiply By To Obtain Millimetres 0.03937 Inches Millimetres 0.003281
Sorting Cards: Common Measures
Sorting Cards: Common Measures The mass, capacity, length and time cards (pages 2-3) were originally used as a starter activity in a pre-gcse maths class (Level 1 and Level 2 numeracy), after we had done
Math Questions & Answers
What five coins add up to a nickel? five pennies (1 + 1 + 1 + 1 + 1 = 5) Which is longest: a foot, a yard or an inch? a yard (3 feet = 1 yard; 12 inches = 1 foot) What do you call the answer to a multiplication
Section 1.5 Exponents, Square Roots, and the Order of Operations
Section 1.5 Exponents, Square Roots, and the Order of Operations Objectives In this section, you will learn to: To successfully complete this section, you need to understand: Identify perfect squares.
Can you spell these words?
a an as at am man if in is it sit tip pips on off of men peg pen can dad had back and big him his not got dot up mum but put us run I the to do into no go so 1 the this that then them will with went win
Keystone National Middle School Math Level 7 Placement Exam
Keystone National Middle School Math Level 7 Placement Exam ) Erica bought a car for $,000. She had to add Pennsylvania s sales tax of 6%. The total price of the car is closest to? $,00 $6,000 $,000 $,000
Section 1 Tools and Measurement
Section 1 Tools and Measurement Key Concept Scientists must select the appropriate tools to make measurements and collect data, to perform tests, and to analyze data. What You Will Learn Scientists use
The GED math test gives you a page of math formulas that
Math Smart 643 The GED Math Formulas The GED math test gives you a page of math formulas that you can use on the test, but just seeing the formulas doesn t do you any good. The important thing is understanding
NMC Sample Problems: Grade 5
NMC Sample Problems: Grade 5 1. What is the value of 5 6 3 4 + 2 3 1 2? 1 3 (a) (b) (c) (d) 1 5 1 4 4 4 12 12 2. What is the value of 23, 456 + 15, 743 3, 894 expressed to the nearest thousand? (a) 34,
engineering is out of this world
Light but Strong A Lesson in Engineering EP-2013-09-107-MSFC engineering is out of this world National Aeronautics and Space Administration Light but Strong teacher notes Next Generation Science Standards:
The formulae for calculating the areas of quadrilaterals, circles and triangles should already be known :- Area = 1 2 D x d CIRCLE.
Revision - Areas Chapter 8 Volumes The formulae for calculating the areas of quadrilaterals, circles and triangles should already be known :- SQUARE RECTANGE RHOMBUS KITE B dd d D D Area = 2 Area = x B
Basic Mathematics for Astronomy
Basic Mathematics for Astronomy A Manual for Brushing off the Rust by Dr. Glenn Tiede 2007 Version 1.2 August 10, 2007 1 Introduction Astronomy is a fascinating science, from the distances to and inter-workings
7.2 Quadratic Equations
476 CHAPTER 7 Graphs, Equations, and Inequalities 7. Quadratic Equations Now Work the Are You Prepared? problems on page 48. OBJECTIVES 1 Solve Quadratic Equations by Factoring (p. 476) Solve Quadratic
Why are Word Problems so Darned Hard? Alan H. Schoenfeld University of California Berkeley, CA, USA [email protected]
Why are Word Problems so Darned Hard? Alan H. Schoenfeld University of California Berkeley, CA, USA [email protected] Preface: Why middle school math is important My friend complains to a hospital doctor
Math Mammoth End-of-the-Year Test, Grade 6, Answer Key
Math Mammoth End-of-the-Year Test, Grade 6, Answer Key Instructions to the teacher: In order to continue with the Math Mammoth Grade 7 Complete Worktext, I recommend that the student score a minimum of
GAP CLOSING. Volume and Surface Area. Intermediate / Senior Student Book
GAP CLOSING Volume and Surface Area Intermediate / Senior Student Book Volume and Surface Area Diagnostic...3 Volumes of Prisms...6 Volumes of Cylinders...13 Surface Areas of Prisms and Cylinders...18
II. 2007 Core Knowledge National Conference, First Graders Measure Up!, Grade 1 1
First Graders Measure Up! Grade Level or Special Area: First Grade Written by: Cindy Todd and Nancy Sanchez, Roscoe Wilson Elementary Magnet School, Lubbock, TX Length of Unit: Ten Lessons (10 days) I.
Customary Length, Weight, and Capacity
15 CHAPTER Lesson 15.1 Customary Length, Weight, and Capacity Measuring Length Measure each object to the nearest inch. 1. The crayon is about inches long. 2. 3. The toothbrush is about The rope is about
The Subnet Training Guide
The Subnet Training Guide A Step By Step Guide on Understanding and Solving Subnetting Problems by Brendan Choi v25 easysubnetcom The Subnet Training Guide v25 easysubnetcom Chapter 1 Understanding IP
Geometry Notes VOLUME AND SURFACE AREA
Volume and Surface Area Page 1 of 19 VOLUME AND SURFACE AREA Objectives: After completing this section, you should be able to do the following: Calculate the volume of given geometric figures. Calculate
5.1 FACTORING OUT COMMON FACTORS
C H A P T E R 5 Factoring he sport of skydiving was born in the 1930s soon after the military began using parachutes as a means of deploying troops. T Today, skydiving is a popular sport around the world.
UNITED STATES DISTRICT COURT -- SOUTHERN DISTRICT OF FLORIDA. Notice of Settlement of Class Action
UNITED STATES DISTRICT COURT -- SOUTHERN DISTRICT OF FLORIDA Notice of Settlement of Class Action If you performed at Scarlett's of Hallandale, Scarlett's of Ybor Strip or Scarlett's of Toledo as an Exotic
If A is divided by B the result is 2/3. If B is divided by C the result is 4/7. What is the result if A is divided by C?
Problem 3 If A is divided by B the result is 2/3. If B is divided by C the result is 4/7. What is the result if A is divided by C? Suggested Questions to ask students about Problem 3 The key to this question
Units of Measurement: A. The Imperial System
Units of Measurement: A. The Imperial System Canada uses the metric system most of the time! However, there are still places and occasions where the imperial system of measurement is used. People often