Mathematical Reasoning Day 5: Making Sense Of Fractions, Decimals and Percents

Overview

Day 5 will be a combination of the previous training days with numbers represented as decimals and percent. Training will focus on using models to help students make sense of operations involving decimals and percent.

In This Session Teachers:

• Will learn how language and place value are used to represent and compare numbers represented as decimals. The use of language and place value is also emphasized when operations involving decimals are introduced.
• Will learn how to use both fraction approaches and decimal approaches to make sense of the algorithms involving decimals. There will be an emphasis placed on the measurement and part-whole interpretations.
• Will learn how to help students develop informal and formal methods for working with percent.

Standards Specifically Addressed

Minnesota Academic Standards:
Grade 4 - Represent and compare fractions and decimals in real-world and mathematical situations; use place value to understand how decimals represent quantities.
Grade 5 - Read, write, represent and compare fractions and decimals; recognize and write equivalent fractions; convert between fractions and decimals; use fractions and decimals in real-world and mathematical situations.
Grade 6 - Read, write, represent and compare positive rational numbers expressed as fractions, decimals, percents and ratios; write positive integers as products of factors; use these representations in real-world and mathematical situations.
Grade 7 - Recognize proportional relationships in real-world and mathematical situations; represent these and other relationships with tables, verbal descriptions, symbols and graphs; solve problems involving proportional relationships and explain results in the original context.

NCTM Process Standards:

• Representation
• Problem Solving
• Reasoning and Proof