Pace Work 7-D 25/05

Тема: Множення дробу на натуральне число.

Хід уроку

T.: Today we'll learn about multiplication of fractions . We are going to do some tasks to improve your knowledge. 

 Мовленнєва зарядка

Введення в іншомовну атмосферу

T.: Answer the questions:

• What is a fraction? 

[A number that represents parts of a whole.]

• What are some uses of fractions in everyday life? 

[One example is in grocery shopping: $1.20 for 1/4 lb. of 

potato salad, etc.]

• How do we read this number? 

[One quarter or one fourth.]

• What does one quarter or one fourth of something 

mean? 

[It's one of four parts that you've divided the whole into, 

for example, 25 cents out of a dollar, 4 ounces out of a 

pound.]

• How well do you think you understand fractions? 

 Основна частина уроку

1. Presentation of new material

T.: First of all, we need to get familiar with new items on the topic. You have cards(card#1). Look at the cards. You have to read and study the new items.

How to Multiply Mixed Fractions With Whole Numbers

• To multiply any mixed numbers and whole numbers, write the mixed numbers as a fractions. Write whole numbers over the denominator one. A mixed number is a whole number and a fraction expressed together.

Steps for Multiply mixed Fractions With Whole Numbers:

• Step 1: Reduced mixed fraction and whole number to improper fraction.
• Step 2: Multiply the numerators of the fractions.
• Step 3: Multiply the denominators.
• Step 4: Simplify the fraction if needed.

Multiply a Fraction and a Whole Number:

Multiply 4/5 and 3

Step 1: Change the whole number to a fraction.

The number 3 is the fraction 3/1.

Step 2: Multiply the two fractions.

4/5 x 3/1 = 4Ч3/5Ч1 = 12/5

Mixed Numbers

• Mixed Numbers are fractions written as a natural number plus a fraction where the denominator is greater than the numerator.

Mixed numbers are popular because the integer part gives an indication of their size, but otherwise they have little to recommend them. They form an exception (the only exception) to the rule that a missing operator means multiplication, and they make the arithmetic operations harder to carry out. We will not use them in this class and I recommend you ignore their existence.

T.: Answer the questions:

Do the fraction multiplication question, 4 x 2/3, by using repeated addition.

 Redo the question, 4 x 2/3, by using a number line.

 Should the answers for part a) and part b) be the same?

 Do the fraction multiplication question, 2 x 3/4, by using repeated addition.

 Redo the question, 2 x 3/4, by using fraction circles (or bars).

 Should the answers for part a) and part b) be the same?

T.: Now, let's do some tasks  (card#2).

1) Write the improper fraction equivalent for each mixed number.

2) Convert these improper fractions into mixed numbers. The answers do not have to be in the simplest form.

3) Solve each of the following problems (card#3). Show your work.

a) Mark had 4 lengths of string. Each string was 2/3 metres long. Mark combined 

the four lengths into a long string. How long would it be?

b) Janice walks in order to keep fit. She walks 9/10 km each day. If she walked 12 

days in a row, what would be the total distance she walked?

c) Barb had 3/8 of a litre of orange juice in the fridge. She poured 2/3 of it into a 

glass to drink. How much orange juice did she pour into the glass?

d) Jason bought 2 3/4 kg of candies. He ate 1/5 of the candy right away. How 

much candy did he eat?

Заключна частина уроку

Our lesson is coming to the end.

 The lesson is over. 

Good-bye!

Card#1

Read and study the tables:

Read and complete the table:

Card#2

Card#3

Solve each of the following problems. 

a) Mark had 4 lengths of string. Each string was 2/3 metres long. Mark combined 

the four lengths into a long string. How long would it be?

b) Janice walks in order to keep fit. She walks 9/10 km each day. If she walked 12 

days in a row, what would be the total distance she walked?

c) Barb had 3/8 of a litre of orange juice in the fridge. She poured 2/3 of it into a 

glass to drink. How much orange juice did she pour into the glass?

d) Jason bought 2 3/4 kg of candies. He ate 1/5 of the candy right away. How 

much candy did he eat?