Podział proporcjonalny - Matematyka Szkoła Podstawowa

In this video, I show you how to solve problems involving proportional division, or division into parts according to a given ratio or proportion. I teach you three types of problems: when the proportion and sum are known and you need to calculate the values ​​of the individual parts; when the proportion and value of one part are known and you need to calculate the remaining parts; and when all the values ​​are known and you need to determine the proportion. I demonstrate how to solve problems by writing equations with one unknown in the first and second types of problems and by reducing stacked fractions in the third type of problems. I show you how to denote unknowns, how to determine the values ​​of proportional parts, and how to convert them from known numerical data. Table of Contents: 1. Introduction to Proportional Division 2. Task Type 1: Known Proportion and Sum 3. Task: Dividing the Winnings in the Ratio 4:2:3 4. Task: Dividing a Line in the Ratio 3:2:1 5. Task Type 2: Known Proportion and One Value 6. Task: 3:5:2 Proportion and Known Second Part 7. Task: Cooking Recipe and Known Ingredient Mass 8. Task Type 3: Known Values ​​and Determining the Proportion 9. Task: Dividing the Cost of Shopping 10. Task: Pouring Water into Containers in a Given Proportion You can find more in the Playlist:    • Proporcjonalność   and:    • ALGEBRA RÓWNANIA NIERÓWNOŚCI UKŁADY RÓWNAŃ   EASY You can access all my math lessons on my website www.matmagwiazdy.pl Good luck :) Tomasz D. Gwiazda **CHAPTERS** 0:00 Proportional Division 2:10 First Problem Type 8:45 Second Problem Type 15:40 Third Problem Type **END**