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"True Fractions, Improper Fractions and Mixed Numbers" PPT courseware on the meaning and properties of fractions
1. Create situations and introduce new knowledge
1. Ask questions.
(1) If 3 mooncakes are divided equally among 4 people, how many will each person get?
Can you express this result on a circle? How can ( ) be represented on this circle?
(2) If 5 mooncakes are divided equally among 4 people, how many will each person get?
How did you get ( )? According to the relationship between fractions and division, we get 5÷4=().
2. Operational exploration and understanding the meaning of fractions
1. Guide students to express “5/4”.
(1) A circle in our hands cannot represent 5/4. Can you think of a way to express it?
(2) Ask two people at the same table to work together to express a .
3. Use the points on the straight line to represent fractions, try to classify, and reveal concepts.
(1) Express fractions on a straight line
1. If it were on a straight line, could you still find such a score?
2. Question: ① How did you find the 1/2 and 1/4 positions? Is there any good way?
(2) Classify scores
1. Question: Do you know how many categories fractions are divided into?
2. Please discuss in the group how many categories the scores can be divided into.
3. Report. ① Divide into 3 categories, based on the relationship between the numerator and denominator. Category 1: Numerator < Denominator; Category 2: Numerator = Denominator; Category 3: Numerator > Denominator
② Divide into 3 categories according to the relationship between the score and 1. Category 1: Score < 1; Category 2: Score = 1; Category 3: Score > 1
③ Divided into two categories, true fractions and improper fractions.
4. Consolidate practice and deepen understanding
1. Question 1 on page 55 of the textbook.
Think of a figure as the unit "1", use fractions to express the size of the colored parts of each figure, and read it again.
2. "Do it" on page 54 of the textbook, question 1.
Which of the following fractions are true fractions? What are improper fractions? Expressed on a straight line.
Take a look and see which segments of the straight line the points representing true fractions and the points representing improper fractions are on.
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