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The real reason 5th graders are scared of fractions - How to learn fractions starting with pictures

한문기 Director of math school 👁 3 check

One-line summary:The reason why 5th grade students collapse in fountains"The meaning of fractions"see"Calculation Procedure for Fractions"Because we learn from. You must first learn the meaning of fractions with pictures (pizza, sticks), and then move on to calculating formulas to avoid breaking down 6th grade ratios and middle school functions.

Why is fractions suddenly becoming more difficult in 5th grade?

For 3rd and 4th graders of elementary school, a fraction is an intuitive concept of “a fraction of a whole.” But suddenly in 5th gradeMultiplication, division, and conversion of fractions to decimalsThese appear all at once. The pace of school is fast, and academies often teach calculation procedures starting with “This is how you solve it.”

From a student's perspective, they only memorize calculations without knowing the meaning. Test scores go up briefly, but then crash again during the 6th grade "Ratios and Proportions" unit.

How to recover the meaning of fractions starting with pictures

Hanmungi Mathematics Center's Elementary Fraction Clinic always starts with pictures.

  1. 8 slices of pizza → 3/8Let's start with the meaning and draw it by hand.
  2. rod fountainVisually see why 1/2 + 1/4 is 3/4.
  3. multiplication of fractionsis introduced as a rectangular area. Once you draw why 2/3 × 1/2 is 2/6 = 1/3, you will never forget it.
  4. Only then do we move on to calculating the formula.

5-minute activities parents can help with at home

  • Ask about fractions when cooking— Bring fractions into your daily life by saying things like “Pour 2/3 of this cup.”
  • share snacks— If 12 candies are divided between 4 people, each person gets 12 × 1/4 = 3 pieces. Check by drawing a picture.
  • Never give answers to unsolved problems— instead of “Can you draw a picture of this problem?” Please ask.

Frequently Asked Questions

Q. I’m in the 5th grade and I’m weak at multiplication tables. Can I start with fractions?

If your multiplication table accuracy is less than 80%, you will again be stuck in fraction multiplication. We check this at the time of diagnosis and adjust the proportion of units. Usually, it is conducted in parallel with 8 weeks of fraction clinic + 4 weeks of multiplication tables reinforcement.

Q. When do you teach the relationship between fractions and decimals?

Around the 2nd semester of 5th grade or the 1st semester of 6th grade. The key is to understand that we write the same quantity in two ways, such as 0.5 = 1/2. This is a prerequisite for the ratios and proportions unit.

Q. How much homework is required at the academy?

Regular classes for 5th and 6th grade elementary school students ask about 5 to 10 questions every day. Accuracy and availability of solutions are more important than volume.

summary

It's not the student's fault that fractions are difficult. It is the adult's fault that they skipped the meaning and taught the child first the calculations. Fractions aren't a scary lesson if you restore the meaning through pictures.

Related pages: Elementary (grades 3 to 6) program·self-produced textbooks