Pinta-alamalli desimaaleilla

Pinta-alamalli desimaaleilla kuvakaappaus  Lataa  Upota
  • Kertolasku
  • Decimals
  • Area Model

Sisältö

  • Kertolasku
  • Decimals
  • Area Model
  • Factors
  • Partial Products

Description

Build rectangles of various sizes and relate multiplication to area. Partition a rectangle into smaller areas and discover new strategies for multiplying decimals!

Esimerkkejä oppimistavoitteista

  • Recognize that area represents the product of two numbers and is additive.
  • Develop and justify a strategy that uses the area model to simplify a decimal multiplication problem.
  • Devise a strategy to determine the product of two rational numbers (or an integer and a rational number) by representing the product as an area or the sum of areas.
  • Use an area model to understand why multiplying a given number by a decimal less than 1 results in a product smaller than the given number.
  • Interpret the product of two rational numbers using base-ten tiles

Standards Alignment

Common Core - Math

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 1.0.9

Teacher-Submitted Activities

Area Model Decimals - Grade 6 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Maura Dudley YK Guided Matematiikka

Kieli Download or Run Tips
Arabia All العربية Download Run now نموذج مساحة الأعداد العشرية
Baski All Basque Download Run now Azalera-modeloa hamartarrekin
Bosnia All Bosanski Download Run now Matematički model površina - Decimalni brojevi
Brasilian portugali All português (Brasil) Download Run now Modelo de Área: Decimais
Englanti All English Download Run now Area Model Decimals
Espanja All español Download Run now Modelo de Áreas: Decimales 
Espanja (Meksiko) All español (México) Download Run now Modelo de Áreas: Decimales
Espanja (Peru) All español (Perú) Download Run now Modelo de área con decimales
Gudžarati All Gujarati Download Run now અપૂર્ણાંકમાં ક્ષેત્રફળનું મોડેલ - નિકુંજ સવાણી દ્વારા
Hindi All हिंदी Download Run now नमूने का क्षेत्रफल - दाशमिक 
Hollanti All Nederlands Download Run now Oppervlakte model decimalen
Italia All italiano Download Run now Rappresentazione grafica del prodotto di numeri decimali
Japani All 日本語 Download Run now 面積と式の展開(小数)
Kazakki All Kazakh Download Run now Ауданды ондық бөлшектермен есептеу
Kiina - perinteinen All 中文 (台灣) Download Run now Area Model Decimals_面積模型與小數
Kiina - yksinkertaistettu All 中文 (中国) Download Run now 面积模型:小数
Korea All 한국어 Download Run now 면적 모형: 소수
Kreikka All Ελληνικά Download Run now Υπολογισμός εμβαδού - Δεκαδικοί
Latvia All Latviešu Download Run now Laukuma modeļa decimāldaļskaitļi
Mongoli All Монгол (Монгол) Download Run now Талбайн Загвар Бутархайгаар
Puola All polski Download Run now Model pola - ułamki dziesiętne
Ranska All français Download Run now Modélisation par les aires avec décimales
Ruotsi All svenska Download Run now Areamodellen och decimaltal
Saksa All Deutsch Download Run now Flächenmodell Dezimalzahlen
Serbia All Српски Download Run now Математика преко површина-Децимални бројеви
Tamili All Tamil Download Run now மாதிரிகளின் தசமப் பரப்பளவு
Tanska All Dansk Download Run now Arealmodel, decimaler
Unkari All magyar Download Run now Területmodell: tizedesjegyek
Venäjä All русский Download Run now Вычисление площади с десятичными дробями
Vietnam All Tiếng Việt Download Run now Số thập phân với mô hình diện tích

The new HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

iPad:
iOS 11+ Safari
iPad compatible sims

Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:
Microsoft Edge and Internet Explorer 11, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

Suunnitteluryhmä Kolmannen osapuolen kirjastot Kiitokset
  • Amy Hanson (lead designer)
  • Amanda McGarry (co-lead)
  • Jonathan Olson (developer)
  • Karina Hensberry
  • Susan Miller
  • Ariel Paul
  • Kathy Perkins
  • almond-0.2.9.js
  • base64-js-1.2.0.js
  • FileSaver-b8054a2.js
  • font-awesome-4.5.0
  • game-up-camera-1.0.0.js
  • himalaya-0.2.7.js
  • jama-1.0.2
  • jquery-2.1.0.js
  • lodash-4.17.4.js
  • pegjs-0.7.0.js
  • seedrandom-2.4.2.js
  • text-2.0.12.js
  • TextEncoderLite-3c9f6f0.js