3rd Grade Math Study Guide

3^rd Grade 2^nd 9 Weeks Math Study Guide:

Unknown Numbers:   7 x ? = 35          36 divided ? = 6

Properties of Operation:

Commutative Property      7 x 2=    2x7=                     order does not matter

Associative Property          (3 x 5) x 2 =      5 x (3 x 2)=        order does not matter

Distributive Property        8 x 9 =

Multiplication/Division:           7 x 7=     8 x 6 =        18 divided 2 =           48 divided 8 =

Two-Step Word Problems:    Tom went to the store and bought a box of cookies that cost $5.  He also picked up a bag of apples for $6 and a pack of meat for $9.  How much change did she get back if she paid with $40?

Patterns:  Find the rule and finish the pattern.

5, 10, 15,__,___,___                                     2, 4, 8, 16,___                        3, 8, 13,__,__

Multiply by Multiples of 10:          40 x 8=                      90 x 3=            60 x 7=

Area:    Find the area of each shape.    

         

Solar System

THE SOLAR SYSTEM IS THE SUN AND THE OBJECTS THAT ORBIT AROUND IT.
THE SOLAR SYSTEM IS THE SUN AND THE OBJECTS THAT ORBIT AROUND IT.


THE SUN IS THE CENTER OF THE SOLAR SYSTEM.

The Sun is important because it provides the Earth heat.

It is one of the prime ingredients for most Earth life-forms.

PLANETS


A planet is a large body of rock or gas that orbits the sun.

The solar system has nine planets. (Pluto is a dwarf)

INNER PLANETS


Mercury

Venus

Earth

Mars

They are the four planets closest to the sun.

Inner Planets have rocky surfaces, and they are warmer than the outer planets.

EARTH IS DIFFERENT FROM THE OTHER INNER PLANETS.  IT  HAS A WATERY SURFACE.  IT IS THE ONLY PLANET WITH A LOT OF OXYGEN IN ITS ATMOSPHERE.  EARTH HAS PLANT LIFE AND ANIMAL LIFE.

OUTER PLANETS


1.  Jupiter

2.  Saturn

3.  Uranus

4.  Neptune

5.  Pluto

OUTER PLANETS ARE MADE MOSTLY OF FROZEN GASES.  THEIR SURFACES ARE COLDER THAN THE INNER PLANETS BECAUSE THEY ARE FARTHER AWAY FROM THE SUN.  MOST OUTER PLANETS HAVE MANY MOONS.

OUTER PLANETS ARE MADE MOSTLY OF FROZEN GASES.  THEIR SURFACES ARE COLDER THAN THE INNER PLANETS BECAUSE THEY ARE FARTHER AWAY FROM THE SUN.  MOST OUTER PLANETS HAVE MANY MOONS.

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The students will be working together to complete an in class project this week for their grade. They will be working in groups to research various facts about the planet they are assigned. All of these facts will be put onto a class chart in the hallway for everyone to see and learn from. Then on Friday we will create a Solar System diagram, with each group illustrating their own planet, and display this down the hallway as well!

If you have any questions please feel free to leave a friendly comment or send me an email! Thanks for visiting!

Arithmetic Patterns

Pattern:
Things that are arranged following a rule or rules.

Example: there is a pattern in these numbers: 2, 7, 12, 17, 22, ... they follow a rule "start at 2 and add 5 each time"

What is a RULE?

A RULE is a set of directions on how to create a
pattern.

In other words: it tells you what to do with the
pattern.

EX: Rule--Start at 0 and add 2

Pattern: 0, 2, 4, 6, 8, 10, ___, ___, ____

Patterns can be found in addition, subtraction,
multiplication, and division.

• Addition-- start at 0 and add 3
• Pattern-- 0, 3, __, ___, ___

• Subtraction--take 5 away
• Pattern--- 25, 20, ___, ____, ____

• Multiplication--- count by 4

• Pattern--4, 8, ___, ___,____

• Division--Divide by 2
• Pattern-- 40, 20, ___,____

Classroom Donations

Hello!

I wanted to let you know that Ms. Jefferson and I are accepting donations from the students in exchange for Rebel Rewards. The list is: 

• Copy Paper ---10 Rebel Rewards
• Glue/Glue Sticks --- 1 Rebel Reward per Stick
• Pencils --- pack of 12 (5 Rebel Rewards) pack of 24 (10 Rebel Rewards)
• Card Stock Paper --- 10 Rebel Rewards
• Candy for Behavior --- Small Bag (5 Rebel Rewards) Big Bag (10 Rebel Rewards)
• Notebooks --- 5 Rebel Rewards per notebook
• Writing Paper --- 5 Rebel Rewards per pack
• Expo Markers --- 5 Rebel Rewards
• Folders with Prongs --- 3 Rebel Rewards
• Tissues --- 10 Rebel Rewards
• Clorox Wipes --- 10 Rebel Rewards
• Germ-X --- 5 Rebel Rewards
• Coloring Things (crayons, markers, colored pencils) --- 3 Rebel Rewards (Ms. Mason only)

Ms. Mason is currently low on: Clorox Wipes, Paper Towels, Coloring Things, Germ-X, and Copy Paper

Ms. Jefferson is currently low on: Germ-X, Writing Paper, and Pencils.

Thank you and have a wonderful day!

-Ms. Mason

Genetics

Today, we began discussing genetics and traits. We will be continuing this discussion all week and focusing on figuring out what an animal will look like as an adult, or what an animal did look like as a baby. 

Talk with your child about their traits and where they came from (or where they might have come from), and talk with them about recessive and dominant traits that run through the family. I will post a link to a very good website about Genetics on the "Fun Videos and Websites!" page. 

The grades for this week will come from the students illustrating what animals will look like at a different age based on a picture they are provided. I.E. They are given a picture of a baby chimp and have to draw what the chimp will look like as an adult based on the traits they see in the photo. 

Microorganism

What is a microorganism?


Well...

“micro” means extremely small

“organism” means a living thing
So! This tells us that a microorganism is an “extremely small living thing.”


There are actually different kinds of germs.

Germs are bacteria, viruses, and other microorganisms that cause diseases

The two main types of germs are bacteria and viruses.

Bacteria are unicellular organisms that can live by themselves or as parasites

Viruses are the main component of most human diseases.

There is actually a big debate between scientists about whether viruses are “alive” or not.






This is a Tardigrade or Water Bear. It is a micro-animal that was discovered in 1773! This picture was made using an electron microscope! That is a very awesome microscope that basically shoots tiny electrons at the thing it is looking at and uses special lenses to help you see it!

They are considered the most resilient animal because they live in places that would instantly kill other animals, including OUTER SPACE! HOW CRAZY IS THAT?

There are actually microorganisms used to make a lot of foods!

A bacterium called Acetobacter tropicalis is found in chocolate.

A bacterium called Lactobacillus acidophilus is found in yogurt.



Those are just some examples. There are THOUSANDS more.

Area of a Shape

What is Area?

• The size of a surface.

• The amount of space inside the boundary of a flat (2-dimensional) object such as a square, rectangle, triangle or circle. 

Area by Counting Squares

• To find the area of a shape you can count the units/squares it takes to create the shape.

The rectangle has an area of 16

If each square was 1 cm on a side, then the area would be 16 cm2 (16 square cm).


Approximate Area by Counting Squares

• Sometimes the squares don't match the shape exactly, but we can get an "approximate" answer.

One way is:

more than half a square counts as 1
less than half a square counts as 0
if exactly half a square count as 1/2

The Area of a square/rectangle can also be found by
using a formula:

Base x Height = Area

Cells

 The building blocks of life.

• Smallest unit of a living thing that can perform all life processes.
• All living things are made of cells
• Different cells have different jobs
• Made of different parts
• Plant and animal cells have some parts that are the same and some parts that are different
• Microscopic- can only be seen through a microscope
• Microscope- tool used to see things too small to see with just your eyes
• Work together to perform a job
• A group of cells becomes a tissue; a group of tissues become an organ; a group of organs become an organ system

Major Cell Parts

The 3 major parts that almost all cells have are the:

• Nucleus- the control center for the cell. Instructions for the cell’s activities are stored here.
• Cell Membrane- the cell’s outer border. It separates the cell from the environment, and decides what comes in and out of the cell.
• Cytoplasm- contains the things that the cell needs to carry out its life processes.

Plant Cells VS. Animal Cells

Plant cells have the nucleus, cytoplasm, and cell membrane just like animal cells, but they also have a few things that are different. Some of these are:

• Chloroplasts- special cell parts that trap the Sun’s energy to make food
• Cell Wall- this is outside of the cell membrane and helps to support and protect the cell

Multiply by Multiples of 10

Multiple:
A multiple of a number is the product or answer of that number and any other whole number.

(In other words)

A multiple of a number is when you multiply a set number by other numbers.
EX: 2 x 1 = 2 2 x 2 = 4 2 x 3 = 6
      2 x 4 = 8 2 x 5 = 10 2 x 6 = 12
The multiples of 2 are the answers:
2, 4, 6, 8, 10, and 12

Multiplying with base ten blocks: 

Try these!

30 x 4=

70 x 4=

40 x 5=

How to multiply by multiples of 10:

 20       Step 1: Count the zeros (0)
x 6       Step 2: Put that many 0s in your 
----             answer
 120      Step 3: Multiply the remaining                           factors

Try these!
70 x 4=

30 x 8=

90 x 7=

80 x 3=

60 x 5= 

20 x 6= 

Digestive, Nervous, and Skeletal System Pictures

These are some pictures (from Ms. Mason's class) of the fun activities we did for the digestive, nervous, and skeletal systems. The kids worked really hard on these and I am very proud of them!

And just a quick reminder that they have a test on the skeletal and muscular systems tomorrow. We made a study guide in class today, so tomorrow's test should be a breeze!

Have a wonderful afternoon!

Muscular System

Muscular System Notes
Note: You only have to write what looks like this.

Muscles
Muscles provide the tug on the bones needed to bend, straighten, and support joints. Muscles can pull on bones, but they can't push them back to their original position, so the muscles work in pairs.

• The flexor muscle contracts to bend the joint. 
• The extensor contracts to straighten (or extend) the limb at the same joint.

Muscles get their signals to contract and relax from the brain.

Smooth Muscles
Smooth muscles — also called involuntary muscles — can't be controlled by you. Your brain and body tell these muscles what to do without you even thinking about it. But smooth muscles are at work all over your body. In your stomach and digestive system, they contract (tighten up) and relax to allow food to make its journey through the body. 


You'll find smooth muscles at work behind the scenes in your eyes, too. These muscles keep the eyes focused.

Cardiac Muscle
The muscle that makes up the heart is called cardiac muscle. The thick muscles of the heart contract to pump blood out and then relax to let blood back in after it has circulated through the body.


Just like smooth muscle, cardiac muscle works all by itself with no help from you. A special group of cells within the heart are known as the pacemaker of the heart because it controls the heartbeat.

Skeletal Muscle
Skeletal muscles are voluntary muscles, which means you can control what they do.  These muscles help to make up the musculoskeletal system — the combination of your muscles and your skeleton.
Skeletal muscles are held to the bones with the help of tendons. Tendons are cords made of tough tissue, and they work as special connector pieces between bone and muscle. 


Skeletal muscles come in many different sizes and shapes to allow them to do many types of jobs. 
Some of your biggest and most powerful muscles are in your back, near your spine. These muscles help keep you upright and standing tall.

They also give your body the power it needs to lift and push things. Muscles in your neck and the top part of your back aren't as large, but they are capable of some pretty amazing things: Try rotating your head around, back and forth, and up and down to feel the power of the muscles in your neck. These muscles also hold your head high.

Face Muscle
Facial muscles don't all attach directly to bone like they do in the rest of the body. Instead, many of them attach under the skin. This allows you to contract your facial muscles just a tiny bit and make dozens of different kinds of faces. 

Your tongue is actually made of a group of muscles that work together to allow you to talk and help you chew food. Stick out your tongue and wiggle it around to see those muscles at work.

Major Muscles

• In each of your shoulders is a deltoid muscle. Your deltoid muscles help you move your shoulders every which way — from swinging a softball bat to shrugging your shoulders when you're not sure of an answer.

• Down under your ribcage are your rectus abdominus muscles, or abdominals. They're often called abs for short.

• When you make a muscle in your arm, you tense your biceps muscle. When you contract your biceps muscle, you can actually see it push up under your skin.

• Your quadriceps , or quads, are the muscles on the front of your thighs. Many people who run, bike, or play sports develop large, strong quads.

• And when it's time for you to take a seat? You'll be sitting on your gluteus maximus, the muscle that's under the skin and fat in your behind!

Multi-Step Word Problems

This week we will be working on two-step word problems.  Two-step word problems are also known as multi-step word problems.  This weeks notes are located below.

A two-step word problem is also known as a multi-step word problem.

Two-Step wp- uses 2 operations in the word problem in order to solve.

Multi-Step wp- uses 2 or more operations to solve a word problem.

Four Operations:

• Addition
• Subtraction
• Multiplication
• Division

Keywords:
words that state what operation to do

Addition
add
plus
all together
sum
in all

Subtraction

subtract
difference
how many more than
how many fewer
take away

minus

Multiplication
multiply
product
factors
multiples
times

as many as

Division
divide
quotient
dividend
divisor
divided by
equally
equal groups
share

pass out

Circle the numbers
Underline important words
Box the question
Eliminate unnecessary information
Solve the problem and check
Craig has a twenty dollar bill. He buys six squirt guns for $2 each. How much money did Craig have left?
Step One:
Hidden Question:  How much did Craig spend?   
6 x 2 = 12 

Step Two:
Subtract the amount he spent from how much he has.
20 - 12 = 8  

For more examples of these word problems, please visit the Fun Videos and Websites! page of the blog. 

Organ System Rubric

Organ System Rubric

You will pick either the nervous, skeletal, muscular, or nervous system. Then you will create a poster showing this full organ system. Please be sure to label and color the organs, and put your name and the name of your system on your poster! It will be due Friday, October 28th.

Category	20 Points	10 Points	0 Points
Title and Labels	Title of System and Labels for each organ	Only the title or labels	No title or Labels
Neatness and Color	Words easy to read and organs colored neatly	Only organs colored or words easy to read	Not easy to read and no color
Complete Organ System	All organs discussed in class for that system shown on the project	Only some of the organs discussed in class for that system shown on the project	None of the organs discussed in class for that project shown on the project.
Student Information	First and last name, date, and student number	First and last name; no date or student number	No name, date, or student number
Facts	5 sentences (or more) of facts about the organ system	2-3 sentences of facts about the organ system	0-1 facts about the organ system

Skeletal System

WHAT IS THE SKELETAL SYSTEM?

This system makes up the shape and form of our bodies.

The system is made up of our:

• Bones
• Cartilage
• Joints
• Tendons

BONES

At birth, our skeleton is made up of 300 bones. When we become adults, our skeleton is made up of only 206 bones. 

Bones are helpful because:

• They support us
• They help us move
• They protect us

When bones break, they grow back on their own, and heal themselves.

Calcium (as in milk) is good for our bones and makes them strong. 

Bones are held in place by joints.

PURPOSES

The skeletal system has several purposes.  A few of these are to:

• Support our bodies
• Help us move
• Protect our organs
• Produce blood cells

Without the skeletal system we would be nothing but puddles!

JOINTS

Joints are where bones meet. They allow us to move and help us grow. There are many types of joints, some including:

• Ball-and-socket
• Hinged Joint
• Fixed Joint

CARTILAGE

Cartilage is soft tissue that cushions the end of your bones. Cartilage is at the tip of your nose and in your ears.

TENDONS

Tendons are what keep everything together. They attach our muscles to our bones.

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These are the notes on the skeletal system. We will be having a test on this and the muscular system next week! A quick reminder that we have a test on the properties of multiplication tomorrow. See the previous post for the notes on that!

Thank you for visiting!

If you have an ideas, questions, or concerns, please feel free to send an email or leave a friendly comment below!  

Properties of Multiplication

  
This week in math we will be learning about the different properties of multiplication.  The definition for each property was provided in class.  This is the notes taken for this week.

Commutative Property: The factors can be multiplied in any order and the product will stay the same.
EX: 4 x 5 = 20 5 x 4 = 20 So, 4 x 5 = 5 x 4

Associative Property: The way in which three numbers are grouped when they are being multiplied doesn't change the product.
EX: 2 (4 x 5)= 40 4 (5 x 2)= 40 So, 2 (4 x 5)= 4 (5 x 2)

Distributive Property: Multiply a sum by multiplying each added separately and then add the products.

In other words: BREAK IT UP (Break the second factor up into smaller digits.)

EX: 4 x 5 = 20 4 x 2 =8 4 x 3 = 12 8 + 12 = 20


The Commutative Property of Multiplication:

a x b = b x a

Where a and b are any real numbers.

This rule just says that, when you are doing multiplication, it doesn't matter which order the numbers are in. You can multiply a and b OR you can multiply b and a ... and you'll get the same answer.

NOTE: This does not work with division!

Distributive Property of Multiplication:

Associative Property of Multiplication: