7th+Grade+9-23-13

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 - 7th Geometry - 7th Number System - 7th Ratios and Proportional Reasoning - 7th Statistics and Probability - 7th

=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



=The Number System=

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

6-8 Number System Progression

//Accentuate the Negative// is a Connected Math unit that does a great job introducing integer operations to students.
 * Integers**

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

=Ratios and Proportional Relationships=

Dan Meyer Three Act Tasks
 * Dueling Discounts - Which the better deal: $20 off or 20% off? [7.RP.3]

MARS
 * 25% sale In a sale, the store reduces all prices by 25% each week. Does this mean that, after 4 weeks, everything in the store will cost $0? If not, why not?
 * Developing a Sense of Scale
 * Proportion and Non-proportion Situations
 * Short Tasks: Ratio and Proportional Relationships
 * Success with Word Problems Using Singapore Math Model Drawings

=Expressions and Equations=

= = Illustrative Mathematics
 * 7.EE.A - Miles to Kilometers
 * 7.EE.A - Equivalent Expressions?
 * 7.EE.A.1 - Writing Expressions
 * 7.EE.A.2 - Ticket to Ride

Solving Equations - Mystery Bags Lesson PowerPoint Slides Lesson Plan 3.2 Labsheet 3.3 Labsheet

MARS Formative Assessment Lesson - Steps to Solving Equations

=Geometry=

= = 7.G. 1 - MARS Formative Assessment Lesson - Developing a Sense of Scale

7.G.2 - 7.G.3 - Slicings 7.G.4 - Relationship between circumference and area
 * Hands-on Activity from Glencoe
 * Inequalities in Triangles from Illuminations
 * Slicing Play-Doh Shapes - lesson description with pictures
 * Plasticine Geometry - lesson plan
 * Spinning and Slicing Polyhedra - interactive applet from NCTM
 * Penny Circle
 * Coin Carpet - Dan Meyer Video
 * Stained Glass - Illustrative Mathematics Task
 * Slicing Pi from Lessons for Learning
 * [[file:7.G.4 - Slicing Pi.pdf]]

7.G.6 - Solve problems involving angle measure, area, surface area, and volume.
 * Popcorn Picker - Dan Meyer Video about volume of a cylinder
 * Geometric Problem Solving with Snap Cubes - lesson description for volume and surface area

=Statistics and Probability=

Biased and Unbiased Samples Slides Student worksheet Lesson plan