![Page 1: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/1.jpg)
Smarter Balanced: Mapping Items to Instruction
Shelbi Cole, Student Achievement PartnersJudy Hickman, Smarter Balanced at UCLA
California Math Council South ConferenceNovember 6, 2015
![Page 2: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/2.jpg)
In this Session
• We will:– Describe how being part of a multi-state
consortium has resulted in an assessment system with an unprecedented level of transparency
– Try a range of problems from the NF domain and the RP domain
– Examine components of extended instructional modules available through the Smarter Balanced Digital Library
Slide 2
![Page 3: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/3.jpg)
Test Questions vs. Instructional Tasks
Slide 3
![Page 4: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/4.jpg)
Teaching for Deep Learning vs. Teaching to the Test
• Through high quality instruction and robust learning experiences, students demonstrate proficiency on assessments
• Giving students a bunch of questions that look just like those on the test will allow them to demonstrate proficiency on the test
Slide 4
![Page 5: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/5.jpg)
A Balanced Assessment System
Common Core State Standards
specify K-12
expectations for college and career readiness
All students leave
high school college
and career ready
Teachers and schools have
information and tools they need
to improve teaching and
learningInterim assessments
Flexible, open, used for actionable
feedback
Summative assessments
Benchmarked to college and career
readiness
Teacher resources for formative
assessment practices
to improve instruction
![Page 6: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/6.jpg)
Unprecedented Level of Transparency
http://www.smarterbalanced.org/smarter-balanced-assessments/
6
![Page 7: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/7.jpg)
Unprecedented Level of Transparency
The Smarter Balanced Item Specifications have over 1,000 example items from grades 3-HS. There are about 175 more in the practice & training tests. There are another 350-400 in the interim blocks.
All of the example test questions that you are about to see can be found in publicly available documents.
7
![Page 8: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/8.jpg)
Grade 4: Fractions
8
![Page 9: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/9.jpg)
Percentage of 4th graders getting problems like these correct (Based
on spring 2014 data)
€
2
6+
3
6= ?
€
4
5−
1
5= ?
€
2
6+ ? =
5
6
€
5
6− ? =
2
6
€
3 ×1
3= ?
Enter a fraction equal to 1/3.
€
12
6+
3
6= ?
€
? =15 ×1
3
€
5
8= ?×
1
8
€
3 ×12
3= ?
€
34
8− 2
5
8= ?
65%
60%
45% 30%
10%
35%
35%
40%
50%
70%
75%
![Page 10: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/10.jpg)
Grade 5: Fractions
![Page 11: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/11.jpg)
Grade 5: Fractions
11
![Page 12: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/12.jpg)
Grade 5: Fractions
![Page 13: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/13.jpg)
Grade 5: Fractions
![Page 14: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/14.jpg)
Grade 5: Fractions
14
![Page 15: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/15.jpg)
Grade 5: Fractions
15
![Page 16: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/16.jpg)
16
Making Connections: Interim Assessments and Digital Library Resources
![Page 17: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/17.jpg)
17
![Page 18: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/18.jpg)
Conceptual Example of Digital Library Playlist
Grade 4 Fractions
Below StandardLearning Goals: TBDSuccess Criteria: TBD
At/Near StandardLearning Goals: TBDSuccess Criteria: TBD
Above StandardLearning Goals: TBDSuccess Criteria: TBD
Learning Goals: TBDSuccess Criteria: TBD
Learning Goals: TBDSuccess Criteria: TBD
Learning Goals: TBDSuccess Criteria: TBD
Preteaching Fraction Concepts Where Are the Cookies?
Visual Fraction Model The Great Fraction HuntHow Far Apart Are the Freeway
Exits?
Equivalent Fractions and the Frayer Model
![Page 19: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/19.jpg)
Slide 19
Grade 5 Instructional ModuleSmarter Balanced Digital Library
![Page 20: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/20.jpg)
Standards Emphasized in Grade 5 Module
• 5.NF.B.4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
• MP1. Make sense of problems and persevere in solving them.
• MP4. Model with mathematics.
20
![Page 21: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/21.jpg)
Smarter Balanced, Illustrative Mathematics, Teaching Channel, &
Desmos Collaboration
• What was the vision for the 3 extended instructional modules in the digital library?– Grade 5 Fractions– Grades 6-7 Ratio & Proportional Relationships– High School Modeling
21
![Page 22: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/22.jpg)
The Problem
The 5th graders want to raise money for their overnight camping trip by selling cornbread during the school Chili Cook-Off contest. All the pans of cornbread are square. A pan of cornbread costs $12. The customers can buy any fractional part of a pan of cornbread and pay that fraction of $12. For example, ½ of a full pan costs ½ of $12.
22
![Page 23: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/23.jpg)
1. Mrs. Farmer buys cornbread from a pan that is ¼ full. She buys 1/3 of the remaining cornbread in the pan.
a. What fraction of the whole pan of cornbread does she buy? Use objects and/or a diagram to show how much of the pan of cornbread she buys.
b. What does she pay for the cornbread she bought? Use objects and/or a diagram to show how much pays.
23
![Page 24: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/24.jpg)
2. The next customer is the school principal. He buys cornbread from a different pan that is ½ full. He buys 5/6 of the remaining cornbread in the pan.
(a) What fraction of the whole pan of cornbread does he buy? Use a diagram to show how much of the pan of cornbread he buys.
(b) What does he pay for the cornbread he bought? Use a diagram to show how much he will pay for his part of the pan.
(c) What would be the cost of the cornbread the principal bought if the price of the entire pan changed to:
$24$6$18
Use a diagram to explain each answer.24
![Page 25: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/25.jpg)
Implementation of the Lesson
• https://www.teachingchannel.org/videos/fraction-multiplication-intro-sbac
25
![Page 26: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/26.jpg)
Slide 26
Middle Grades Instructional ModuleSmarter Balanced Digital Library
![Page 27: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/27.jpg)
Grade 6 & 7 Ratios and Proportional Relationships
• 6.RP.A Understand ratio concepts and use ratio reasoning to solve problems.
• 7.RP.A Analyze proportional relationships and use them to solve real-world and mathematical problems.
27
![Page 28: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/28.jpg)
Grade 6 Desmos Task
Go to: student.desmos.comClass code: jv54
28
![Page 29: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/29.jpg)
Grade 6: RP
![Page 30: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/30.jpg)
Grade 7: RP
![Page 31: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/31.jpg)
Grade 7: RP
![Page 32: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/32.jpg)
Grade 7: RP
![Page 33: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/33.jpg)
Grade 6: RP
![Page 34: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/34.jpg)
The Problems
Grade 6 VariationJessica gets her favorite shade of purple paint by mixing 2 cups of blue paint with 3 cups of red paint. How many cups of blue and red paint does Jessica need to make 20 cups of her favorite purple paint?
Grade 7 VariationJessica gets her favorite shade of purple paint by mixing 1/3 cup of blue paint with 1/2 cup of red paint. How many cups of blue and red paint does Jessica need to make 20 cups of her favorite purple paint?
34
![Page 35: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/35.jpg)
Implementation of the Lesson: Grade 6
• https://www.teachingchannel.org/videos/ratios-and-proportions-lesson-sbac
35
![Page 36: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/36.jpg)
What’s next?
• Expansion of Interim Assessment Blocks• Continued expansion of digital library• Making direct, actionable connections
between the interim assessments and digital library resources
36
![Page 37: Smarter Balanced: Mapping Items to Instruction Shelbi Cole, Student Achievement Partners Judy Hickman, Smarter Balanced at UCLA California Math Council](https://reader035.vdocuments.site/reader035/viewer/2022081506/5697bfd71a28abf838cae860/html5/thumbnails/37.jpg)
Questions?