Building proportional reasoning across grades and math strands, K-8 /
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| Format: | eBook |
| Language: | English |
| Published: |
New York :
Teachers College Press,
[2015]
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Opportunities to Build a Foundation for Proportional Thinking. Kindergarten : Counting and comparing equal groups ; Decomposing numbers into equal groups ; Comparing measurements relatively
- Grade 1 : Adding and subtracting using equal groups ; Multiples of ten ; Measuring with units ; Introducing halves and quarters
- Grade 2 : Introducing multiplication ; Creating groups of tens and hundreds ; Decomposing into units to add and subtract ; Measuring with units ; Relating money units ; Creating fractions of wholes
- Focusing on Proportional Thinking. Grade 3 : Interpreting a number as units of another number ; Interpreting multiplication as a unit change ; Recognizing proportional thinking in multiplication/division properties ; Measuring with units ; Graphing using scale
- Grade 4 : Making multiplicative comparisons ; Interpreting fraction equivalence using multiplicative comparisons ; Ordering fractions ; Interpreting decimals as ratios ; Converting measurements by changing units ; Relating angle measurements
- Grade 5 : Comparing pattern growth ; Comparing powers of ten ; Comparing decimals using proportional reasoning ; Interpreting a fraction as a division ; Interpreting fraction multiplication in terms of unitizing ; Interpreting fraction division in terms of unitizing : Measurement conversion ; Using proportional reasoning to explore volume
- Grade 6 : Concept of ration ; Equivalent rations ; Unit rate ; Percent ; Converting measurement units ; Relating fraction division to proportional reasoning ; Using equations to express proportional relationships
- Grade 7 : Exploring proportionality numerically ; Exploring proportionality algebraically ; Describing fractions as decimals ; Circle measurement ratios ; Volume and surface area ratios ; Predicting likelihood
- Grade 8 : Using exponent situations to build on proportional reasoning
- Connection proportional relationships to linear equations
- Using proportional reasoning in solving equations ; Similarity
- Volume ratios
- Data relationships.