Lesson 15: Converting Yards to Centimeters

 

Since 1 yard = 0.914 meters, and 1 meter = 100 centimeters,

1 yard = 0.914 x 100 = 914 centimeters.

 

 
 

 

 

 

 


Exercise 15: Convert the following yards to centimeters.

 

1 yard =          914           centimeters,       4 yards = _____________ centimeters.

 

5 yards = ____________ centimeters,    17 yards = _____________ centimeters.

 

8 yards = ____________ centimeters,      3 yards = _____________ centimeters.

 

9 yards = ____________ centimeters,      6 yards = _____________ centimeters.

 

7 yards = ____________ centimeters,      2 yards = _____________ centimeters.

 

 

 

Lesson 16: Converting Feet to Meters

 

Since 1 meter = 3.282 feet,

1 foot = 1 / 3.282 meters = 0.3048 meters.

 
 

 

 

 

 


Exercise 16: Convert the following feet to meters.

 

1 foot =         0.3048        meters,      4 feet = __________________ meters.

 

5 feet = _____________ meters,    17 feet = __________________ meters.

 

8 feet = _____________ meters,      3 feet = __________________ meters.

 

9 feet = _____________ meters,      6 feet = __________________ meters.

 

7 feet = _____________ meters,      2 feet = __________________ meters.

 

Lesson 6: Problem Solving Strategies Using Models

 

Gina and her mom made 560 flowers in five days. Mom made three times as many flowers as Gina made per day. How many flowers did Gina make per day? How many flowers did Mom make per day?

 

What we know: (1) Gina and her mom made 560 flowers in 5 days

                          (2) Her mom made 3 times as many as Gina.

 

What to solve: (1) How many flowers did Gina make per day?

                        (2) How many flowers did her mom make per day?

 

To solve the questions, use the model below.

 

Gina and her mom made 560 flowers in 5 days:

 

 

 

 


(1)   Find the number of flowers that

     Gina and her mom made per day.

112 flowers

 
 


          They made 1/5 of 560 flowers per day.

         

           560  5 = 112 flowers

 

(2)   Find the number of flowers that

      Gina made per day.

 


           Gina made ¼ of 112 flowers per day.

 


She made 112  (3 + 1) = 112  4 = 28 flowers per day.

 

(3)   Find the number of flowers that
her mom made per day.

 


Her mom made ¾ of 112 flowers per day.

 

She made 28 x 3 = 84 flowers per day.

 

 

 

Lesson 9: Basic Concepts of Equations

If the whale box is 85 pounds and the octopus box is 85 pounds, the seesaw is balanced.

 

If the whale box is 70 pounds and the octopus box is 50 pounds, the seesaw will not be balanced.

 

How can you make the seesaw balance, if the whale box is 70 pounds and the octopus box is 50 pounds?

 

 

 
 


   

 

 

 

 

 

 

 

 

 

An equation is just like a balancing seesaw. Both sides of the equal sign must be the same.

 

 

 

20

 
 

 


   

 

 

 

    Add 20 pounds to the octopus’ side or take away 20 pounds from the whale box to make it balance.

 

 

20

 
 

 

 

 

 

 


    Let’s write an equation for the seesaw above,

 

    If the whale box is 70 pounds and the octopus box is 50 pounds, we can

(1)   add 20 pounds on the octopus side:

Both sides are 70 pounds.

 
 


Whale Box = Octopus Box + X

   Both sides are 50 pounds.

 
 


 70 pounds = 50 pounds + 20 pounds

 

(2)   take away 20 pounds from the whale box:

 

  Whale Box – X = Octopus Box

 


    70 pounds – 20 pounds = 50 pounds