分數的介紹

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  • Fractions
  • Equivalent Fractions
  • Improper Fraction
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標題

  • Fractions
  • Equivalent Fractions
  • Improper Fraction
  • Number Line

描述

當您吃 1/3 個巧克力蛋糕配 1/2 杯的柳橙汁時可以探索分數。利用有趣的互動式物件創造您自己的分數。在分數遊戲中,只要正確的配對形狀與數目,就可以獲得星星,請挑戰任何您喜歡的遊戲難度等級,試試看可以收集多少星星!

翻譯者:
Amber Chang (2012)

學習目標

  • Predict and explain how changing the numerator of a fraction affects the fraction's value
  • Predict and explain how changing the denominator of a fraction affects the fraction's value
  • Convert between a picture of a fraction, a numeric fraction, and a point on a number line
  • Build matching fractions using numbers and pictures
  • Compare fractions using numbers and patterns

Standards Alignment

Common Core - Math

1.G.A.3
Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.
2.G.A.2
Partition a rectangle into rows and columns of same-size squares and count to find the total number of them.
2.G.A.3
Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.
3.NF.A.1
Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
3.NF.A.2
Understand a fraction as a number on the number line; represent fractions on a number line diagram.
3.NF.A.2a
Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.
3.NF.A.2b
Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.
3.NF.A.3
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
3.NF.A.3a
Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
3.NF.A.3b
Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.
3.NF.A.3d
Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
版本 1.02

教學提示

下載教師教學提示 PDF 檔 模擬教學的控制概觀、模型簡化與引導學生思考 ( PDF ).

老師提供的活動

What is a Fraction? A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. 此貢獻是由 PhET 所作之設計 Anonymous K-5 其它 數學
Comparing and Ordering Fractins Day 2 of 3 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Meaghan Hixson K-5 指引 數學
What is a Fraction? Day 1 of 3 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Meaghan Hixson K-5 指引 數學
Equivalent Fractions Day 3 of 3 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Meaghan Hixson K-5 指引 數學
Fractions 3 Day Unit A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Meaghan Hixson K-5 指引 數學
Alignment of PhET sims with NGSS 此貢獻是由 PhET 所作之設計 Trish Loeblein 高中 其它 化學
地球科學
物理
生物
How do PhET simulations fit in my middle school program? 此貢獻是由 PhET 所作之設計 Sarah Borenstein 國中 其它 生物
地球科學
物理
化學
CCSS Math Alignment with Sims 此貢獻是由 PhET 所作之設計 Amanda McGarry 國中
高中
K-5
其它 數學
MS and HS TEK to Sim Alignment Elyse Zimmer 高中
國中
其它 物理
生物
化學
분수 소개 SIM 사용설명서 이화국(Wha Kuk Lee) 國中 作業
展示
數學
NGSS Simulation Alignment/Correlation Matthew Huffine 大學-簡介
K-5
國中
高中
展示
其它
其他
Comparing Fractions with Like Numerators and Denominators Margaret McCabe 國中
K-5
實驗室
Building Fractions Michellle Fiumefreddo K-5 概念問題 數學

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