Place Value to a Million

Grade 4 · Number sense · Page 1 of 2

Name Date
DIRECTIONS: Write each number in expanded form, then in words.
342,516 = 300,000 + 40,000 + 2,000 + 500 + 10 + 6 = three hundred forty-two thousand, five hundred sixteen
Part A — Expanded form.
1.
907,765 =
2.
462,516 =
3.
438,944 =
4.
406,455 =
5.
688,637 =
6.
350,386 =
Part B — Write each number in words.
7.
413,138
8.
187,622
9.
156,097
10.
455,115

Place Value — continued

Grade 4 · Number sense · Page 2 of 2

Part C — What is the value of the underlined digit?
In 427,105 the 2 is worth 20,000.
11.
784,113  
12.
473,821  
13.
930,862  
14.
747,851  
15.
861,015  
16.
306,159  
17.
725,290  
18.
956,221  
Part D — Ten times bigger.
One place left is worth ten times as much: 300 is ten times 30.
19.
4,000 is ___ times as much as 400
20.
90,000 is ___ times as much as 9,000
21.
70,000 is ___ times as much as 7,000
22.
200 is ___ times as much as 20
23.
9,000 is ___ times as much as 900
24.
60,000 is ___ times as much as 6,000

Daily Language Review — Set 1

Grade 4  ·  Mixed Review  ·  Page 1 of 2

Name Date
DIRECTIONS: Fix every mistake and write the sentence right on the lines. Number 1 is done.
Remember CUPS: Capital letters  ·  Usage (right word)  ·  Punctuation  ·  Spelling
  1. the box of apples are to heavy for me to carryDone for you
    Fixed:The box of apples is too heavy for me to carry.
  2. we drove to the coast on friday and we seen three seals
  3. "wheres my other shoe" shouted omar from the hall
  4. my brother and me collected sea glass shells and driftwood
  5. the childrens coats was hanging by the door

Set 1, continued

Grade 4  ·  Mixed Review  ·  Page 2 of 2

  1. yesterday we walk to the shop and i buy a comic
  2. it was raining hard we stayed inside all afternoon
  3. their are less people here then their were last week
  4. Dr chen said the medecine would work quick
  5. after the game we was tired but we walked home the long way

The Energy of Movement

Grade 4 · Energy · Page 1 of 3

Name Date
DIRECTIONS: The faster and heavier a moving thing is, the more energy it has. Circle the one with more.
Energy is never made and never destroyed. It only moves or changes kind. A ball that stops rolling passes its energy to the carpet and air as heat and sound.
Which has more energy of movement?
Circle one, and say what decided it: speed or mass.
ABWhich has more?Because of…
1. a tennis ball thrown slowlythe same ball thrown hard
2. a lorry at 10 mpha bicycle at 10 mph
3. a bowling ball rolling fasta marble rolling fast
4. you walkingyou running

The Energy of Movement — continued

Grade 4 · Energy · Page 2 of 3

Collisions pass energy on.
When a moving thing hits a still one, some of its energy passes over.
  1. A marble rolls into a line of still marbles and the one at the far end shoots off. Where did that end marble get its energy from?
  2. A car crash at 40 mph does far more damage than one at 20 mph — much more than twice as much. Using energy, suggest why.
  3. A ball rolls across the carpet and slowly stops. Its energy did not disappear. Where did it go? Give two places.

The Energy of Movement — Try It

Grade 4 · Energy · Page 3 of 3

DIRECTIONS: Roll a marble down a ramp (a book) at a light object. Try three heights. Change only the height.
Height I released fromHow far the object movedTry again — how far?
low
middle
high
  1. What is the pattern? Write it as a sentence beginning "The higher the marble started…"
  2. The marble is not moving at all when you let go. So where does its movement energy come from?
  3. Why did you do each height twice?

The Longest Line You Have Ever Drawn

World History · Page 1 of 5

Name Date
DIRECTIONS: Measure with a ruler. Do not guess.

All of human history. People have been people — the same as you, same brains — for about 300 thousand years. This line is all of it.

300000 BC200000 BC100000 BCAD 1969all of written history →
Writing is about 5 thousand years old, so all written history is the last 1.7% of the line, at the right-hand end.
  1. Measure the whole line in centimeters. Then work out how many centimeters the written part is. Show your working.
    Show your work
  2. Nothing is marked on the left-hand nine tenths of that line. Does that mean nothing happened? Say what you think was going on.

The Last Five Thousand

World History · Page 2 of 5

DIRECTIONS: The right-hand tip of page 1, stretched out. Measure it.
5000 BC4000 BC3000 BC2000 BC1000 BCAD 1000AD 1969first writingGreat PyramidCleopatraRome fallsMoon
From… to…How many years?How many cm on the line?
The first writing → the Great Pyramid
The Great Pyramid → Cleopatra
Cleopatra → the Moon landing
Rome falls → now
BC years count down: 500 BC is before 100 BC. There is no year 0: 1 BC is followed by AD 1. So 100 BC to AD 100 is 199 years, not 200.
  1. How many years from 200 BC to AD 200?
    Show your working
  2. Look at your second and third rows. Which gap is bigger? Write both numbers down before you answer.
    Show your work

Cleopatra and the Rocket

World History · Page 3 of 5

DIRECTIONS: You measured this. Say why it feels wrong.
Cleopatra lived nearer in time to the Moon landing than to the building of the Great Pyramid.
Pyramid → Cleopatra
2,530 years Cleopatra → Moon landing
1,999 years
The pyramid was already ancient when she was born.
  1. Why do you think the pyramid and Cleopatra feel like they belong together, when they are further apart than she is from us?

Two More About Ancient

World History · Page 4 of 5

  1. Ancient Egypt lasted about 3,070 years. That is longer than the 1,999 years from its end to now. Say what that does to the word "ancient".
  2. Somebody says "the Egyptians built the pyramids and then Cleopatra ruled them". Nothing in that is false. Say what is wrong with it anyway.

Your Own Line

World History · Page 5 of 5

DIRECTIONS: Draw a line for the last 100 years. Mark when you, a parent and a grandparent were born. Measure the gaps.
  1. How many of your lifetimes fit between now and Cleopatra? Between now and the Great Pyramid?
    Show your work
  2. A grandparent remembers things you have only read about. Say what that means about how far back "remembered" history actually reaches.
  3. Everything before writing is on page 1 and none of it is on page 2. Write down one thing you would want to know about those people, and say who you would ask.

A Switch That Flips Another Switch

A Switch That Flips Another Switch

Name Date
DIRECTIONS: Read how a switch can flip a switch, then trace the chains overleaf.
1Read how a switch flips a switch
→
2Turn over: trace the chains
worked by a fingertwo ends. Something alive has to touch it.worked by electricityinoutflipthree ends. Nothing has to touch it.that third wire is where computers come from

A finger switch has two ends, and someone has to press it.

Give it a third wire, so current in that wire closes it. The oldest kind is a relay: the third wire is a coil that turns into a magnet and pulls an iron arm across. The first computers used thousands.

What just happened

The thing that flips the switch is now the same kind of thing that comes out of one: electricity. So one switch’s out can work the next one’s flip, in as long a chain as you like, with no finger anywhere. The rest of this pack is this one idea, stacked.

A transistor is the same thing with nothing moving inside: in, out, and a third wire that decides. With nothing to move, it can flip billions of times a second.

Follow the Signal

A Switch That Flips Another Switch

DIRECTIONS: Trace each chain with a finger, one switch at a time. Write ON or OFF.
inswitch 1switch 2inswitch 3inlampnobody is touching any of it

Now a chain that flips

A flipper is built the other way round. Current in, nothing out. Nothing in, current out.

Goes inHow many flippersComes out
ON2Done for you OFF, ON → ON
ON3
OFF4
ON5

Look at your answers. What about the number of flippers decides what comes out? Use it on a chain of a hundred.

Two more things a wire can do

to another switchto another switchto another switchone output, three inputs — this is why a machine can grow

One out, many flips. Split a wire and one output works three switches at once.

Backwards. What if a switch’s output ran back to the flip wire of one before it? Have a think. Sheet 40 has the answer.