6th+Grade+9-16-13

toc = = =Recommended Books=

Common Core Math in a PLC at Work, Grades 6-8 5 Practices for Orchestrating Productive Mathematics Discussions Number Talks Minilessons for Operations with Fractions, Decimals, and Percents Teaching Student Centered Mathematics How the Brain Learns Mathematics NCTM's Essential Understandings Series Rich and Engaging Mathematical Tasks: Grades 5-9 = = =Websites=

= = Illustrative Mathematics Illustrative Mathematics provides guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students experience in a faithful implementation of the Common Core State Standards, and by publishing other tools that support implementation of the standards.

Mathematics Assessment Project Tools for formative and summative assessment that make knowledge and reasoning visible, and help teachers to guide students in how to improve, and monitor their progress.

North Carolina's Lessons for Learning Use the Navigation Bar on the left to find your grade band. The grade level page will have the Lessons for Learning link. This is a PDF file with several lessons for each grade. Click here for an list of lessons and standards.

=Standards for Mathematical Practice=



Posters from Jordan School District - Organized by practice, posters for K-1, 2-3, 4-5, 6

Video - The Importance of Mathematical Practices

Link to more resources

=Analysis Tools=

Expressions and Equations - 6th Geometry - 6th Number System - 6th Ratios and Proportional Reasoning - 6th Statistics and Probability - 6th



=Unpacking=



=Progressions=

[|Learning Trajectories in Math] (article in pdf format)

Video - The Importance of Progressions

[|Progressions Documents for the Common Core Math Standards] University of Arizona website
 * [|K-6 Geometry]
 * [|6-8 Expressions and Equations]
 * [|6-7 Ratios and Proportional Relationships]
 * [|6-8 Statistics and Probability]
 * 6-8 Number System



=Ratios and Proportional Reasoning=

Dan Meyer Three Act Tasks
 * Split Time What should his split time on the indoor track be? -6.RP.3, MP.4
 * Leaky Faucet How long will it take the sink to fill up? - 6.RP.3, MP.4
 * Nana's Chocolate Milk How do we fix Nana's chocolate milk? - 6.RP.3, MP.4 - Features a Double Number Line
 * See also Pain Relief, Fort Steuben, Bolt, Coke vs. Sprite, Super Bear, Shower vs. Bath, Print Job, Sugar Packets...

Gulliver's Travels Lesson Handout for first part of lesson Handout for second part of lesson

Scale City Welcome to //Scale City//, the biggest, smallest road trip ever! Created for grades 6-8, but fun for everyone! Explore amazing roadside attractions and learn about the mathematics of scale. At each stop, a short video field trip and a fun interactive simulation help you understand proportional reasoning. Includes the Dinosaur World activity that someone shared in the workshop.

Tape Diagrams
 * Success with Word Problems Using Singapore Math Model Drawings

=Number Systems=

Video - Fluency: A Balanced Approach Required Fluencies at each grade level

Strategies used in grades 3-5
 * Whole Numbers**

Progression document for 3-5 Number and Operations - Fractions. Contains helpful fraction strategies. Lessons for fraction division > Given problems involving whole numbers, students analyze responses to two different types of division problems and discuss how the inclusion of the language of sharing and grouping will help them recognize situations that require division. Students then solve a sequence of problems organized to provide scaffolding for understanding of an algorithm for division of fractions. Emphasis will be placed on using pictures or diagrams and written descriptions of the thought processes involved to support solutions and the development of an algorithm. > In this lesson students represent division of fractions using manipulatives, such as freezer pops, candy bars, and models such as drawings squares. Students develop an algorithm from these examples and solve problems using fractions.
 * Fractions**
 * Divide and Conquer
 * Models for Dividing Fractions

=Statistics and Probability=

Buttons: Statistical Questions Mean, Median, Mode, and Range