Lesson 11: Dividing Large Numbers by 4, with Zeros in the Quotient

 

Solve:  824  4  =   ?       Start with the digit at the far left.

Divide tens.

 

Divide ones.

 

Divide hundreds.

 
Rounded Rectangular Callout: There are no 4s in 2. Write 0 in the tens place in the quotient.
Rounded Rectangular Callout: Think: How many 4s are there in 8?
 

 

 

 

 

 


 

 
           

 

Write 2 in the hundreds place in the quotient.

 

Write 0 in the tens place in the quotient. Regroup 24 to the ones place.

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 


Exercise 11: Dividing large numbers by 4, with zeros in the quotient.

 

(1) Divide each of the following; include remainders when they occur.

 

 

 

 

 

 

 

 

 

3

 

6

 

 

 

 

 

 

 

 

 

0

 

 

 

 

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


Lesson 11: Adding Consecutive Numbers

 


(1) 1 + 2 + 3 + 4 = ?

 

    Regroup the addends 2 + 3 = 5, and 1 + 4 = 5,

 

  1    +    2    +    3    +    4 = 10

                               5     

 
 


                               5

 

 

 

 


(2) 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 =?

 

    Regroup addends in the 5 pairs below

5 + 6 = 11

4 + 7 = 11

3 + 8 = 11           2 + 9 = 11

1 + 10 = 11

 
                          

         

 

Cloud Callout: Where do the 11s come from?
 

 

 

 

 

 
 

 


                                            

 


                                                 

 

 

 

 

 

 

 

 

 

 


Why do we learn Adding Consecutive Numbers?

 

The purpose is to provide students a useful tool and create good problem-solving strategies to solve word problems introduced in Chapter 3. For example,

 

Lesson 3: How Line Segments and Points Are Represented: Word Problems

 

All the children in Math Club were invited from Upland, California to Washington, D.C. On the trip, the airplane stopped in Arizona and Oklahoma. Ms. Hill drew small dots to shows the cities and lines to link all the cities.

(From Chapter 3 Geometry Page 3- 8)

 

Lesson 4: Word Problems: Using Addition of Consecutive Numbers to Count Points and Line Segments

 

    8 friends shake hands with each other. How many total handshakes take place?

(From Chapter 3 Geometry Page 3- 10)

 

Lesson 5: More Application of Line Segment Concepts to Word Problems

 

Given the following set of numbers, find all the different sums of any two numbers:

 

          19,     21,     15,     17,     13

(From Chapter 3 Geometry Page 3- 11)

 

 

 

 

Lesson 8: Adding Like Fractions

If two fractions have the same denominator, the two fractions are like fractions.

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


Exercise 8: Adding the like fractions.

 

(1)  

 
Answer the monkey’s questions.

Rounded Rectangular Callout: What are like fractions?
How do you add like fractions?