Darasa la 3–5NumberImepangwa
Fractions and decimals
Fractions as numbers on the number line, equivalent fractions, comparing and adding fractions, and decimals as fractions whose denominators are powers of ten.
math.number.fractions
Somo la mada hii bado halijaandikwa. Muhtasari ulio hapa chini ni sehemu ya ramani ya mtaala na haujakaguliwa.
Inajengwa juu ya
Masharti ya awali ya lazima 4 (hadi chini kabisa)
Utajifunza
- Place fractions on a number line and explain a/b as a copies of 1/b.
- Generate equivalent fractions and use them to compare, add and subtract fractions.
- Convert between decimals with up to three places and fractions with denominators 10, 100 and 1000.
- Multiply a fraction by a whole number.
Fasili
- For a whole number b > 0, 1/b is the length of each part when the unit interval is cut into b equal parts, and a/b is the length of a such parts.
- a/b and c/d are equivalent (equal as numbers) when ad = bc.
- A decimal such as 0.37 means 37/100.
Nadharia
- a/b = (na)/(nb) for every whole number n > 0.
- a/b + c/d = (ad + bc)/(bd).
- A fraction in lowest terms has a terminating decimal expansion exactly when its denominator has no prime factors other than 2 and 5.
Mawazo potofu ya kawaida
- Adding numerators and denominators: 1/2 + 1/3 is not 2/5.
- Thinking a larger denominator means a larger fraction.
- Believing 0.25 > 0.3 because 25 > 3.
- Thinking fractions are only parts of shapes rather than numbers.
Inaelekea kwa
Ugunduzi wa hiari
- Real numbers and irrationality Some numbers, such as √2, cannot be written as fractions at all.
- ← Measuring length and time
Njia za kujifunza
Usomaji zaidi
- Hung-Hsi Wu, Understanding Numbers in Elementary School Mathematics (2011)