Multiplying by 10s

Hey kiddos! Sorry this was not up sooner, but keep practicing at home!

There are two strategies that we learned in class to solve problems.

Let's take a look at both. 

          60 x 5

Model Strategy

We know that there are 5 tens in 60.
We have five groups of 6 tens in each group. This is done with 10s sticks remember.
When you see this, you should remember that now you can skip count to see how many sticks you drew.

You will skip count 6, 12, 18, 24, 30
There are 30 tens.

30 x 10 = 300
(Strategy on picture, Green strategy below)


Distribute Strategy

The second strategy is do break apart the numbers. This is done by first pulling out the 3 and the 8. 
3 x 8 = 24  
Remember this is 24 tens.
So we are looking at 24 x 10.

Now break apart 24 into a ten.
24= (20 + 4) x 10

Now distribute the numbers throughout the problem (there are two steps--remember 1 and 2)

20 x 10 = 200
4 x 10 = 40

Now add them both:     200 + 40 = 240
(Blue strategy on picture on the side)

Inverse Operations

We are beginning with Inverse Operations.

Inverse Operations/Equations help you solve a problem with an unknown variable. It is an equation that is part of the fact family.

     Variables: letters, shapes, symbols that represent another number.

Add/Subtract
Problem: 4 + R = 10
   
Fact Family: R + 4 = 10
                     10 - R = 4
                     10 - 4 = R

Inverse Operation/Equation:   10 - 4 = R

Now you can find the answer 10 take away 4 = 6. R=6.

Multiply/Divide
Problem: 6 x N = 18

Fact Family: N x 6 = 18
                     18 / N = 6
                     18 / 6 = N

Inverse Operation/Equation:    18/6=N

Now you can skip count to find the answer.    6, 12, 18.     N=3

Quarter 2 Focus

This quarter we are all about nonfiction texts.

Kids!! Get to the library and find some books that interest you!!

We will be focusing on these topics while reading:
     
      -Main Idea
      -Supporting Details
      -Summaries
      -Facts and Opinion
      -Author's Purpose
      -Information from Pictures
      -Cause and Effect

Parents: make sure you are asking students questions as they read. Here are a few questions:

What is the main topic?
Why do you think that is the main topic?
What happened in this story? What happened in this specific paragraph?
What are the facts in this story?
Does the author share any opinions?
Why did the author write this story?
What information does the picture tell you? Does the picture help you understand more of the text?
Why did a certain event happen? What caused an event?
What happened? Why did it happen?

As always, let me know if there are any issues, questions, or concerns.

RACES Writing

Here is the strategy we use for answering questions using a text. We call it RACES writing!

R: restate
A: answer
C: cite evidence
E: explain
S: sum it up

UPSc--Understand, Plan, Solve, check

UPS!! No, not the United Postal Service! 

This is our way of solving EVERY math problem. 
Yes, every single math problem. 
Every time, all the time!

Understand: What is happening? Should your answer get bigger or smaller? Write your equation here!!

Plan: Draw out or make a plan.

Solve: Use your strategies to solve the problem. Do what you said your equation was.

Check: Does the answer make sense?

Word Problems

Get ready for Galileo!

Let's think about word problems. We came up with some information to help us solve word problems.

Addition Word Problems:

Subtraction Word Problems:

Multiplication Word Problems:

Division Word Problems:

Multiplication and Division

Hey 3rd Graders,
Here are our Multiplication and Division strategy strategies that we are working on.
        Really think about the Understanding of each problem.
            What are you doing in the problem?
            What is happening?
*Don't forget to ALWAYS write the equation!

Multiplication Strategies
-Make a Groups Picture
-Use Repeated Addition
-Make an Array
-Use Skip Counting

Division Strategies
-Make a Groups Picture
-Use Repeated Subtraction
-Use Skip Counting

Addition and Subtraction

Addition and Subtraction are important LIFE skills. 

You have to know how to do both. 

       Remember your addition and subtraction facts should be SOLID! That means that you should know every addition and subtraction fact in a snap of a finger! Practice these at home EVERY night (including Friday, Saturday, and Sunday) for 5 minutes. I guarantee you will get faster with time.

      Let's remember our fast strategies:

No paper required!

1) Counting On (use for addition)

If you are doing 4 + 7....
       
       -First think of the largest number: 7 and count up 4 more
                 7..... 8, 9, 10, 11
       4 + 7 = 11

2) Counting Up (use for subtraction)

If you are doing 14 - 8....

       -First think of the smaller number: 8 and count up to 14
                 8.... 9, 10, 11, 12, 13, 14
                           You counted up 6 more
      14 - 8 = 6

When working a paper pencil problem. 

3) Regrouping: Use for both addition and subtraction

Addition Regrouping occurs when you have numbers like 28 + 17. If I add 8 ones and 7 ones, we will get 15 ones. But we do not write 15 ones, we regroup the new 10 to the tens place and keep the 5 ones. Students you can draw this out with your place value blocks.

Subtraction Regrouping
In the problem below, we were taking 32 - 17. After lining up our place values we see that there are only 2 ones. We can not take away 7 ones from 2 ones. So we need to REGROUP the tens. We had three tens, and after taking away one ten and adding it to the ones, we now twelve ones. Now you can count up from 7 to 12 and find that there are only 5 ones left.

Here is our anchor chart from class:

Rounding Numbers

Alright boys and girls. Here is the work we did with Rounding. 

Remember the steps!

1. Find the Benchmark Numbers

        ______ 46 ______

The Benchmark Numbers for 46 are 40 and 50.

        __40__ 46 __50__

2. Now imagine the number line and decide "Is 46 closer to 40 or 50?" Boom!! 46 is only 4 away from 50 and it is 6 away from 40!

       __40__ 46 __50__

You can now do the same thing with a hundred number. Take a look:

      __300__ 324 __400__

Moving on!

You have mastered rounding to the tens and hundreds...
so now we are ready for the challenging problems.

Let's round to the TENS with a hundreds number.

1. Start the same way. Find the Benchmark Numbers. 

__270__ 274 __280__                         

2. Same thing again, "Which Benchmark Number is our number closest to?" 

A hint is to ask "Is 74 closer to 70 or 80?"

Well 74 is only 4 away from 70 and 6 away from 80. 

__270__ 274 __280__                         

You can now do the same thing rounding to the HUNDREDS with a thousands number!

__3,200__ 3,289 __3,300__

Now let's apply what we know to addition and subtraction problems. 

Check out our anchor charts for Estimation using addition and subtraction! 

1. Round first

2. Then solve

3. Are the answers close?