Making the Common Core State Standards (CCSS) Accessible with Technology Ron Twitchell ront@provo.edu Provo City School District Jodi Mantilla Nebo School District Sheryl Rushton Channing Hall Charter School
BIG ROCKS IN THE COMMON CORE (GRADES 3-5)
NATIONAL LIBRARY OF VIRTUAL MANIPULATIVES nlvm.usu.edu
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 Fractions – Equivalent Fractions - Comparing
5.NF.1. Add and subtract fractions with unlike denominators (including mixed numbers) Fractions - Adding
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 *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
OTHER RESOURCES http://www.uen.org/3-6interactives/ index.shtml http://www.helpwithfractions.com/ fraction-calculator.html http://www.arcademicskillbuilders.com/
How ¡Big ¡is ¡Hagrid? ¡ • 6.SP.3, 7.RP.2c, 7.SP.4, 8.SP.1
Groups of 6 Measure each person ’ s height and shoulder width Shoulder ¡Width ¡(in ¡ Name ¡ Height ¡(in ¡Inches) ¡ Inches) ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡
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 =
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
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.
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 = a x. Write an equation to represent Hagrid ’ s shoulder width using the mean of the students ’ heights in the form y = a x . y = a x
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).
Can You Make It Spin? 7.SP .7
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 (Erickson, 1989) Get help if you need it.
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)
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. ” )
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
Extension: Create 6 clues that would lead others to create your desired spinner. – 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.
Many states are sharing their work in implementing the Common Core State Standards.
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
Utah is in the process of creating Curriculum Guides for the New Common Core State Standards
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
Example of resource from curriculum guide 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 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 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
Another use of technology for Common Core State Standards 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 .
Technology sites � (These can be accessed through the link on the front page) • Todaysmeet.com • writeboard.com • Doodle.com • dabbleboard.com • Polleverywhere.com • curriculum21.com • Thinkbinder.com • Education.skype.com • Teambox.com • storybird.com • Learnxillion.com • zooburst.com
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
QR scanning & � code generators
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