making the common core state standards (ccss) accessible ... › nctm › 2012am ›...
TRANSCRIPT
![Page 1: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/1.jpg)
Making the Common Core State Standards (CCSS)
Accessible with Technology
Ron Twitchell [email protected] City School District Jodi Mantilla Nebo School District Sheryl Rushton Channing Hall Charter School
![Page 2: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/2.jpg)
![Page 3: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/3.jpg)
![Page 4: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/4.jpg)
![Page 5: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/5.jpg)
![Page 6: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/6.jpg)
![Page 7: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/7.jpg)
![Page 8: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/8.jpg)
BIG ROCKS IN THE COMMON CORE (GRADES 3-5)
![Page 9: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/9.jpg)
nlvm.usu.edu
NATIONAL LIBRARY OF VIRTUAL
MANIPULATIVES
![Page 10: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/10.jpg)
Fractions – EquivalentFractions - Comparing
3.NF.3. Understand two fractions as equivalent 4.NF.1. Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models 4.NF.2. Compare two fractions with different numerators and different denominators
![Page 11: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/11.jpg)
Fractions - Adding
5.NF.1. Add and subtract fractions with unlike denominators (including mixed numbers)
![Page 12: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/12.jpg)
*Problem – Our class ate ½ of the brownies. 3/5 of the brownies were eaten by the boys. What fraction of the brownies did the boys
eat?
Fraction - Muliplication
5.NF.6. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem
![Page 13: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/13.jpg)
http://www.uen.org/3-6interactives/index.shtml
http://www.helpwithfractions.com/fraction-calculator.html
http://www.arcademicskillbuilders.com/
OTHER RESOURCES
![Page 14: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/14.jpg)
How Big is Hagrid?
• 6.SP.3, 7.RP.2c, 7.SP.4, 8.SP.1
![Page 15: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/15.jpg)
Name Height (in Inches) Shoulder Width (in
Inches)
Groups of 6
Measure each person’s height and shoulder width
![Page 16: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/16.jpg)
6.SP.3 Recognize that a measure of center for a numerical data set summarizes all of its values with
a single number
Calculate the mean, median and mode of both the height and shoulder width.
Height Mean = Shoulder Width Mean = Height Median = Shoulder Width Median = Height Mode = Shoulder Width Mode =
![Page 17: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/17.jpg)
8.SP.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of
association between two quantities.
On the computer, go to nlvm.usu.edu Click the box for Data Analysis & Probability for grades 6-8
Select Scatterplots
![Page 18: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/18.jpg)
Enter your data for height (x-value) and shoulder width (y-value) Select the minimum and maximum values for x-axis and y-axis Describe the correlation with a complete sentence or two.
![Page 19: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/19.jpg)
y = ax
7.RP.2c Represent proportional relationships by equations
Write an equation to represent Hagrid’s height using the mean of the students’ heights in the form y = ax. Write an equation to represent Hagrid’s shoulder width using the mean of the students’ heights in the form y = ax.
![Page 20: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/20.jpg)
7.SP.4 Use measures of center and measures of variability for numerical data from random samples to
draw informal comparative inferences about two populations.
Construct a life sized drawing of Hagrid according to your data. Use the pencil, markers, tape and paper roll (butcher paper).
![Page 21: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/21.jpg)
Can You Make It Spin? 7.SP.7
![Page 22: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/22.jpg)
Group Etiquette Follow the rules of the activity.
No questions for the teacher unless everyone in the group agrees they do not know.
Make sure everyone gets to participate.
Listen to what other people say.
Try to give reasons for what you say.
Ask others for their opinion.
Help others - without telling them what to do or giving answers Get help if you need it. (Erickson, 1989)
![Page 23: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/23.jpg)
Select the clues from Spinner 3
Each person in the group receives a clue (6 clues)
Examples of clues:
“Two of the numbers on the spinner are equally likely; the other comes up about half of the time”
“Though you’ll never get zero in one spin, the average spin on this spinner is zero”
(Erickson, 1989)
![Page 24: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/24.jpg)
On the computer, go to nlvm.usu.edu
Select Data Analysis & Probability for grades 6 - 8
Select Spinners (You will need to assign numbers to the colors in “change spinner.”)
![Page 25: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/25.jpg)
In your group, you will tell each other your clues and try to create the spinner the clues are describing on the computer
Draw a sketch of your spinner
![Page 26: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/26.jpg)
– The mean of the numbers is three,
– There are four numbers and they are equally likely,
– There is more than one way to get a sum of eight in two spins,
– All the numbers are even,
– You can get 0 by multiplying all the numbers,
– If you spin once you will never get an eight.
• The spinner they wanted designed had the numbers 0, 2, 4, 6 and each number was equally likely.
Extension: Create 6 clues that would lead others to create your desired spinner.
![Page 27: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/27.jpg)
Many states are sharing their work in implementing the Common Core State
Standards.
![Page 28: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/28.jpg)
The state of Ohio has support material at the following link:
http://www.ode.state.oh.us/GD/Templates/
Pages/ODE/ODEDetail.aspx?page=3&TopicRelationID=1704&ContentID=
83475
![Page 29: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/29.jpg)
Utah is in the process of creating Curriculum Guides for the New Common Core State Standards
![Page 30: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/30.jpg)
![Page 31: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/31.jpg)
This is a link to curriculum guides created by the state of Utah and adjusted by Provo
School District
http://psdmath.pbworks.com/w/page/12514762/FrontPage
![Page 32: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/32.jpg)
4th Grade 4.MD.3
Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, ;ind the
width of a rectangular room given the area of the ;looring and the length, by viewing the area formula as a multiplication
equation with an unknown factor.
http://nrich.maths.org/6923
Example of resource from curriculum guide
![Page 33: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/33.jpg)
5th Grade 5.NB.2
Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in
the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-‐number
exponents to denote powers of 10.
http://www.miamisci.org/ph/lpextend1.html
Example of resource from curriculum guide
![Page 34: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/34.jpg)
6th Grade 6.2
Solve real-‐world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative
rational numbers.
http://fcit.usf.edu/math/lessons/activities/HumanPT.htm
Example of resource from curriculum guide
![Page 35: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/35.jpg)
Using Google docs to have students complete group projects associated with the CCSS, a teacher can verify
which students are really participating in the activity.
Another use of technology for Common Core State Standards
![Page 36: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/36.jpg)
Technology sites �(These can be accessed through the link on the front page)
• Todaysmeet.com
• Doodle.com
• Polleverywhere.com
• Thinkbinder.com
• Teambox.com
• Learnxillion.com
• writeboard.com
• dabbleboard.com
• curriculum21.com
• Education.skype.com
• storybird.com
• zooburst.com
![Page 37: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/37.jpg)
CK12 & Open Source Books • Free open source books that you can create to meet
the standards of the Common Core State Standards
• Available in electronic format or in hardcopy
• Tailor to the needs of your students
![Page 38: Making the Common Core State Standards (CCSS) Accessible ... › nctm › 2012AM › webprogram... · 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to](https://reader035.vdocument.in/reader035/viewer/2022070817/5f141c049f3ff84b872090fe/html5/thumbnails/38.jpg)
QR scanning &� code generators