Thursday, January 12, 2017

6th Grade Math Topic 6



This week in math we completed topic 5 (rates and ratios) and started topic 6.  This topic builds on our understanding of ratios as students begin to work with percentages.  Specifically, we will practice the following skills:

6.1:  Understand percents
6.2:  Relate fractions, decimals, and percents
6.3:  Represent percents greater than 100 or less than 1
6.4:  Estimate to find percent
6.5:  Find the percent of a number
6.6:  Find the whole given a part and the percent

There are many resources to practice these important real-world skills including workbooks, Khan Academy, Explore Learning websites, Quizlet, and others.  Helpful resources are linked below and on the left-hand side of this blog.



Friday, December 2, 2016

6th Grade Math Topic 5

Today we started topic 5 in 6th grade math.  Topic 5 focuses on understanding and using ratio and rate.  We will practice ten specific skills in this topic:

5.1:  Understand Ratios
5.2:  Generate Equivalent Ratios
5.3:  Compare Ratios
5.4:  Represent & Graph Ratios
5.5:  Understand Rates & Unit Rates
5.6:  Compare Unit Rates
5.7:  Solve Unit Rate Problems
5.8:  Ratio Reasoning:  Convert Customary Units
5.9:  Ratio Reasoning:  Convert Metric Units
5.10:  Relate Customary & Metric Units


You can practice important vocabulary here:  https://quizlet.com/139365114/math-20-complete-glossary-flash-cards/

You can practice math skills here:  https://www.khanacademy.org/math/cc-sixth-grade-math

You can watch math instructional videos here:  http://www.virtualnerd.com/middle-math/all


You can access the online textbook here:  https://psal.nccohio.org/public/

You can find the Gizmo Road Trip answer key here:  https://drive.google.com/file/d/0B0pphv4klPajeHZ2ay1rU3o5MDA/view?usp=sharing

Monday, October 31, 2016

6th Grade Math Topic 4


This week we begin practicing topic 4 skills.  Topic 4 is about representing and solving equations and inequalities.  Specifically, we will practice the following ten skills:

4.1:  Understand equations and solutions.
4.2:  Apply properties of equality.
4.3:  Write and solve addition and subtraction equations.
4.4:  Write and solve multiplication and division equations.
4.5:  Write and solve equations with rational numbers.
4.6:  Understand and write inequalities.
4.7:  Solve inequalities.
4.8:  Understand independent and dependent variables.
4.9:  Use patterns to write and solve equations.
4.10:  Relate tables, graphs, and equations.

You can find answers to the topic 4 workbook practice here:
https://docs.google.com/document/d/1FHwYf0wJFjyzlEDDZm-0DS43bESw8Q6AB7VXDAZ61BE/edit?usp=sharing

You can practice important vocabulary here:  https://quizlet.com/139365114/math-20-complete-glossary-flash-cards/

You can practice topic 4 skills here:  https://www.khanacademy.org/math/cc-sixth-grade-math

You can watch instruction videos here:  http://www.virtualnerd.com/middle-math/all

You can access the online textbook here:  https://psal.nccohio.org/public/

A good how to study article:  http://sites.williams.edu/nk2/files/2011/08/Schwartz.Son_.Kornell.Finn_.2011.pdf

Monday, October 10, 2016

6th Grade Math Topic 3

This week in math we begin topic 3. We will practice the following seven skills:

3.1: Understand and represent exponents.

3.2: Find greatest common factor and least common multiples.

3.3: Write and evaluate numerical expressions.

3.4: Write algebraic expressions.

3.5: Evaluate algebraic expressions.

3.6: Generate equivalent expressions.

3.7: Simplify algebraic expressions.

Our topic 3 test is scheduled for Thursday, October 27th. Your child has many resources to help build fluency with these skills. These resources include, but are not limited to, textbook, Khan Academy, Explore Learning, and Quizlet. I’ve already recommended all the topic 3 skills in Khan Academy and reset the Explore Learning (Gizmo) to include topic 3 skills as well.

Below are links for helpful resources.

Workbook answer key:  https://drive.google.com/file/d/0B0pphv4klPajcHZwdVc5ekVNZGM/view?usp=sharing

You can find important vocabulary and means of practice here: https://quizlet.com/139365114/math-20-complete-glossary-flash-cards/

You can find our online textbook here: https://psal.nccohio.org/public/

You can see when assessments are scheduled here: www.mrhartwell.blogspot.com

You can find games and videos here: https://docs.google.com/spreadsheets/d/1rEQMD2ICSpLOQO51USWKKsPuHt-p6sdTgYI-E5K6AIY/edit#gid=0

You can find helpful math videos here: http://www.virtualnerd.com/middle-math/all

You can find practice examples with answer keys here: https://www.khanacademy.org/math/cc-sixth-grade-math

Wednesday, September 21, 2016

6th Grade Math Topic 2


Our second topic is about integers and rational numbers.  We will focus on six specific skills.  In topic 2, students will:

2.1)  Understanding integers.
2.2)  Representing rational numbers on the number line.
2.3)  Identifying the absolute values of rational numbers.
2.4)  Representing rational numbers on the coordinate plane.
2.5)  Finding distances on the coordinate plane.
2.6)  Representing polygons on the coordinate plane.

We use workbooks, Khan Academy, Explore Learning, online textbooks, Quizlet, and many other resources to practice these six skills.  I have included links to many of the resources below.  Topic 2 quizzes and tests are scheduled and posted on my math website at www.mrhartwell.blogspot.com.  All students should be practicing math at home for at least 15 minutes each evening; regular practice over a long period of time is a great way to push skills into long-term memory!

More good news!  For the first time, we are taking a group of 6th graders to a county-wide Academic Challenge tournament.  I hold practice sessions starting next week during the school day on Tuesday and Thursday.  Any student is welcome to come practice.  In October, I will use a timed short answer test to determine the 10 final participants.  You can find more information on a new website (it is under construction and subject to change) at:  http://hartwellprojects.blogspot.com/


You can find an answer key to the workbook here:  https://drive.google.com/file/d/0B0pphv4klPajM2k4WXVrbXZ4STA/view?usp=sharing

You can find skill practice here:  https://www.khanacademy.org/math/cc-sixth-grade-math


You can find videos of skills here:  http://www.virtualnerd.com/middle-math/all

You can find an answer key for our Gizmo:  Integers, Opposites, and Absolute Values here:  https://drive.google.com/file/d/0B0pphv4klPajSTM3N2h3a2lnNTA/view?usp=sharing

You can find an answer key for our Gizmo:  Integers, Opposites, and Absolute Values here:  https://drive.google.com/file/d/0B0pphv4klPajSTM3N2h3a2lnNTA/view?usp=sharing

You can find an answer key for our Gizmo:  Points in the Coordinate Plane here:  https://drive.google.com/file/d/0B0pphv4klPajUGw5LW44MHMwbEE/view?usp=sharing