Arealmodel, decimaler
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Indhold
- Multiplikation
- Decimaler
- Arealmodel
- Faktorer
- Delvist produkt
Beskrivelse
Byg rektangler af forskellige størrelser og relaterer multiplikation til areal. Opdel et rektangel i mindre områder og find nye strategier til multiplikation af decimaler!
Læringsmål
- Anerkend at området repræsenterer produktet af to tal og er additivt.
- Fremstil og argumenter for en strategi, der bruger områdemodellen til at forenkle et decimaltals-gange-problem.
- Udform en strategi til at bestemme produktet af to rationelle tal (eller et heltal og et rationelt tal) ved at fremstille produktet som et område eller summen af arealer.
- Brug en områdemodel for at forstå hvorfor det at multiplicere af et givet tal med en decimal mindre end 1, resultater i et produkt, der er mindre end det givne tal.
- Fortolk produktet af to rationelle tal ved hjælp af basis-ti-fliser
Standardjustering
Fælles indhold - matematik
5.NF.B.4
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
5.NF.B.4a
Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)
5.NF.B.4b
Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
5.NF.B.5
Interpret multiplication as scaling (resizing), by:
5.NF.B.5a
Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
5.NF.B.5b
Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1.
Version 1.0.3
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