面積と式の展開(小数)

面積と式の展開(小数) スクリーンショット  ダウンロード  組み込む
  • 掛け算
  • Decimals
  • Area Model

コンテンツ

  • 掛け算
  • 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!

学習目標例

  • 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 1.2.1

Teacher-Submitted Activities

Games Remote Lesson ideas A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. この貢献アクティビティは PhET によってデザインされました。 Trish Loeblein 大学基礎
高校
中学
小学
Remote
宿題
物理学
化学
数学
Area Model Decimals - Grade 6 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Maura Dudley 中学 Guided 数学
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) この貢献アクティビティは PhET によってデザインされました。 Diana López 小学
中学
Discuss
実験
Guided
宿題
証明
数学
化学
天文学
物理学
Middle School Math Sim Alignment この貢献アクティビティは PhET によってデザインされました。 Amanda McGarry 中学 その他 数学

言語 Download or Run Tips
アラビア語 All العربية Download Run now نموذج مساحة الأعداد العشرية
アルバニア語 All shqip Download Run now Modeli i Syprinës: Decimal
イタリア語 All italiano Download Run now Rappresentazione grafica del prodotto di numeri decimali
ウクライナ語 All українська Download Run now Площинна модель десяткових дробів
オランダ語 All Nederlands Download Run now Oppervlakte model decimalen
カザフ語 All Kazakh Download Run now Ауданды ондық бөлшектермен есептеу
ギリシャ語 All Ελληνικά Download Run now Υπολογισμός εμβαδού - Δεκαδικοί
グジャラート語 All Gujarati Download Run now ક્ષેત્રફળનું મોડેલ - દશાંશ
シンハラ語 All Sinhalese Download Run now වර්ගඑල ආකෘති දශම
スウェーデン語 All svenska Download Run now Areamodellen och decimaltal
スペイン語 All español Download Run now Modelo de Áreas: Decimales 
スペイン語(ペルー) All español (Perú) Download Run now Modelo de área con decimales
スペイン語(メキシコ) All español (México) Download Run now Modelo de Áreas: Decimales
セルビア語 All Српски Download Run now Математика преко површина-Децимални бројеви
タミル語 All Tamil Download Run now மாதிரிகளின் தசமப் பரப்பளவு
デンマーク語 All Dansk Download Run now Arealmodel, decimaler
ドイツ語 All Deutsch Download Run now Flächenmodell Dezimalzahlen
トルコ語 All Türkçe Download Run now Alan Modelinde Çarpma İşlemi (Ondalık)
バスク語 All Euskara Download Run now Azalera-modeloa hamartarrekin
ハンガリー語 All magyar Download Run now Területmodell: tizedesjegyek
ヒンディー語 All हिंदी Download Run now नमूने का क्षेत्रफल - दाशमिक 
フィンランド語 All suomi Download Run now Pinta-alamalli desimaaleilla
ブラジルポルトガル語 All português (Brasil) Download Run now Modelo de Área: Decimais
フランス語 All français Download Run now Modélisation par les aires avec décimales
ベトナム語 All Tiếng Việt Download Run now Số thập phân với mô hình diện tích
ペルシャ語 All فارسی Download Run now مدل مساحت اعشاری ها
ボスニア語 All Bosanski Download Run now Matematički model površina - Decimalni brojevi
ポーランド語 All polski Download Run now Model pola - ułamki dziesiętne
モンゴル語 All Монгол (Монгол) Download Run now Талбайн Загвар Бутархайгаар
ラトビア語 All Latviešu Download Run now Laukuma modeļa decimāldaļskaitļi
ロシア語 All русский Download Run now Вычисление площади с десятичными дробями
英語 All English Download Run now Area Model Decimals
中国語-簡体字 All 中文 (中国) Download Run now 面积模型:小数
中国語-繁体字 All 中文 (台灣) Download Run now Area Model Decimals_面積模型與小數
朝鮮語 All 한국어 Download Run now 면적 모형: 소수

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

iPad:
iOS 12+ 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, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.13+, Safari 13+, latest version of Chrome.

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

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