Transcript Powerpoint

Create PARCC-Like Math ASSESSMENTS
Grades 3-5
(Englewood/Palisades grades 3-5 school/FEA in-district)
Created by
JUDITH T. BRENDEL
[email protected]
http://www.njpsa.org
Please select
grade 3, 4 or 5, as your
focus for today’s work.
Please sit
in grade-level group(s).
Connect
to FEA Website.
(1) http://www.njpsa.org
(2)
(3)
(4)
ENGLEWOOD Grade 3-5 Creating PARCC-Like
Assessments March 14, 2016 Resources
Today: Create CCSS/PARCC
aligned Math Assessments, 3 – 5
1.
What types of assessments and tasks are meaningful, do-able, challenging and
aligned to the Common Core and PARCC style and rigor?
1.
What resources are available?
1.
Investigate PARCC assessments; learn about the various question types, how you
can change what you already have or start new using special resources. Gain
knowledge, skills and access to material you can use throughout the year.
1.
See a model exam … practice, modify and create one of your own or plan new
assessment tasks for a future topic.
2.
Tutorials (online/interactive) General tools, Equation Editor and EOY Test
Bring a laptop or digital tablet for Internet access and if you’d like, an assessment to be
modified.
Updates: single PARCC TEST 2016
PBA-TYPE tasks
EOY-TYPE tasks
Hand- and machine-scored
Type I, II and III tasks included
Claims A, B, C and D
Machine-scored
Type I tasks only
Claim A
All non-calculator (grades 3-5)
Traditional and non-traditional formats
Small % questions from earlier grade major CCSS concepts
Scrap paper provided, then shredded (graph paper recommended)
Math grades 3 to 5 = 4 units … Testing Window now: March 7 – June 10
Gr. 3 reduced from 9.75 hours to 8.25 hours math and ELA
Gr. 4 and 5 reduced from 10 hours to 8.5 hours math and ELA
No change in number of PBA ITEMS
Reduction in EOY type ITEMS
Type I
Grade 3
Grade 4
Grade 5
33, 4, 3
33, 4, 3
PARCC
ITEM
TYPES
TOTALS/type I, II, III
36, 4, 3
See PARCC Task Types (PBA packet)
TYPE I: TASKS ASSESSING CONCEPTS, SKILLS/PROCEDURES
grade-5: PBA packet p.47-48 Area Cut Board
Grade-5: Aquarium tanks p. 46
Grade-4: see p. 38 rubric a.
machine scored
TYPE II: TASKS ASSESSING EXPRESSING MATHEMATICAL
REASONING
(See online on PARCC site.)
PBA types; part hand
scored (w/rubric)
TYPE III: TASKS ASSESSING MODELING / APPLICATIONS
grade-3: PBA packet pages 18-21, Art Teacher Rectangular array
Part A, Part B and Part C
1. Greater FOCUS on FEWER TOPICS
NOT racing to cover many topics in a mile-wide, inch deep curriculum.
YES, focus on the major work of each grade.
• Grades K-2 + - Concept, skills, and problem solving related to
addition and subtraction.
• Grades 3-5 X ÷ Concept, skills and problem solving related to
multiplication and division of whole numbers and fractions.
Grade-5 (decimals) 5.6 ÷ 9.04 =
price w/tax = (1.07)($38.00) =
• Grade 6 4/8=2/4 a+2(a+3)= x+6=12 Ratios and proportional
relationships, and early algebraic expressions and equations
• Grade 7 5/8+2/3= ( ¼ )( ½ =) 3/4 ÷ 2/3= Ratios and
proportional relationships, and arithmetic of rational numbers
• Grade 8 y = mx+b f(x) = 3x-2 Linear algebra and linear functions
(parallel lines, perpendicular lines, systems of equations, …. )
FLUENCIES expected (without a calculator)
What strategies and/or resources have you used to help your students become
fluent in required skills for your grade? (in school? At home?) Have 100% of your
students become fluent?
• K
• 1
• 2
1.OA.5
1.OA.6
2.OA.2
2.NBT.5
• 3.
3.OA.7
• 4.
• 5.
3.NBT.2
4.NBT.4
5.NBT.5
• 6.
6.NS.2,3
Add/subtract within 5
Add/subtract within 10
Add/subtract within 20 (know single-digit sums from
memory)
Add/subtract within 100
Multiply/divide within 100 (know single-digit products
from memory)
Add/subtract within 1000
Add/subtract within 1,000,000
Multi-digit multiplication
Multi-digit division
Multi-digit decimal operations
DO:
Experience
new question formats
(pink handout)
LET’S do some.
*Activity 1:
Complete the FAST FOOD
questions 4, 5, 6 and 7
(pink handout)
Work in group complete
example 8
How are they changing?
What do the NEW multiple-select questions look like?
Circle the 4 that are true.
Given: All squares
A. are parallelograms and rectangles
B. have 4 acute angles
C. have only 2 diagonals
3
5
D. Area = ½ base x height
E. Sum of adjacent angles = 180˚
25 5
21
F. Perimeter
= 2 x Side length
G. Area > area
with the same perimeter.
7
The integer 36: NEW MC
Select the 5 that are correct!
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
is the perimeter of a square with side = 6
in inches, would be longer than a meter.
is a rational number.
23 is equivalent to (3)2
is a perfect square number.
has more than six factors 1,36, 2,18, 3,12, 4,9, 6
is a prime number
is between 36.1 and 36.7 on the number line
is my age
area of a ∆ with base 9 and height 8
Create:
YES-NO questions
(pink handout)
Become an Author
*Activity 3:
CREATE your own YES/NO questions (work w/your
group)
- Select one “given” from suggested math topics,
- or Use a non-math topic from suggested subjects
DISCUSS in your group
SELECT a favorite
SHARE with all
Do:
GUESS the GRADE
(gray handout)
SEE: screen shots
PARCC formatted questions
Activity #4
SEE what it looks like!
Screen Shots from online EOYs
(see and *take notes)
As you do the examples, list or write about:
• vocabulary words
• “process” issues
• “content” issues
• “organizational” issues
• new types of directions
Screen Shot: *Traditional MC grade-3
One correct answer; note
the circles to fill in answer.
Visuals
Screen Shot: *Traditional SCR
(grade-3 EOY)
Student does computation
on scrap paper.
Student
types in
answer.
Screen Shot: *Traditional SCR but …?
(grade-3 EOY)
Multiple equations in one
question: multiplication
and division with whole
numbers
Screen Shot: *Table Part-A Part-B
(grade-4 EOY test)
Reading different
types of charts is
essential
What computation
is needed? Where
does student do the
computation?
What strategies might a
student use?
Screen Shot: *Table Part-A Part-B
(grade-3 EOY test) Part MC and Part CR
Traditional MC and CR in one question. Partial credit;
Part-B not dependent on Part-A answer.
Screen Shot: Complete Picture Graph
Drag and Drop (grade-3 EOY)
Each star = 5 minutes
Need to READ CAREFULLY
notice DETAILS.
Screen Shot: *Multiple correct answers
(grade-3 EOY test)
No computation; assessing understanding of concept.
Notice “square-like shape” of the “bubble-in”
form when more than one correct answer.
Screen Shot: *Multiple correct answers
(grade-3 EOY test)
2
D.
3
1
E.
6
2
6
( D and E are below C
in the same format.)
Notice < symbol …
not an = sign as you
might expect.
Notice “square-like shape” of the “bubble-in”
form when more than one correct answer.
Screen Shot: *Three Correct Answers
(grade-4 EOY test)
Select the three choices that are factor pairs for the number 28.
VOCABULARY should be familiar.
Screen Shot: *Two Correct Answers
(canot shade-in on screen) (grade-4 EOY)
Notice that the student
CANNOT actually shade-in
on the screen.
Notice again: not
computation;
understanding of
concept from
graphic
Screen Shot: End Session I
Screen Shot: Tools to Measure
(grade-4 EOY)
Notice “circle shape” of “bubble-in”
form when there is only “one”
correct answer.
Screen Shot: *Tools to measure
(grade-4 EOY)
Need experience using tools throughout the year.
169˚ or 11˚ ?
Screen Shot: *Plotting on Grid
(grade-5 EOY)
If mistake: when delete
1 point, all may be
deleted. Need to
practice online!
Point value could be:
2 points for 3 correct
answers
1 point for 2 correct
answers
0 points for 1 or no
correct answers.
Screen Shot: *Click/Drag or Type
(one correct answer) (grade-4 EOY test)
2
1
Acceptable answers might be: 4 or 4
4
2
Screen Shot: Drag/Drop (grade-3 EOY)
A few topics may come from earlier grades.
Screen Shot: Drag/Drop Part A Part B (grade-4)
Part A: drag and drop
Part B: fraction symbol +
drag-and-drop or type.
Can TYPE numbers on
keyboard, or click on
numbers on screen.
7
10
or
7/10
Screen Shot: Check-off Table (grade-4 EOY)
Scrolling is necessary to see the entire table.
Screen Shot: USING “EXHIBITS”
(Reference sheet Grade-5)
Now, school districts may distribute
hard-copy of reference sheet.
Students need practice throughout
the year. (Grades 5-HS)
The“exhibit” sheet covers the
question(s). It cannot be moved.
What will students need to do?
SHARE – reactions to screen shots
SEE and DO
Sample Items
“PBAs What Are They?” (pages 2-6)
and
Judy’s Fraction & Number Sense with
Standards
Become an Author: create items
*Activity 5:
(tan handout: worksheet)
(yellow: resources.EngageNY Mid-Module Fraction test)
CREATE your own number-sense, fraction and/or
geometry questions (work w/your group) Select
one “given” from suggested math topics.
DISCUSS in your group
SELECT a favorite
SHARE with all
As you do the examples, list or write about:
vocabulary words
“process” issues
“content” issues
new types of directions
Activity 5 : Create different question formats
PARCC - Number Sense for your grade level
2 + 6 +8+ 5+ 4+ 5
MS – (multiple select) more than one right answer
(at least A-D)
ECR – compare/contrast; explain/defend; how do
you know? Part A, Part B
PBA packet for ideas:
Grade-3: pages 3, 7-8, 10
Grade-4: pages 3, 5, 8-9, 11
Grade-5: pages 3, 6, 9, 12-14
Activity 6: Create different question formats
PARCC – Fractions for your grade-level
1 1 1 1 2 3 4
2 3 5 5 5 5 5
MC- one right answer (traditional format)
(PBA packet for ideas: pages 2-3 and NY Module)
MS - (multiple select) – yes/no … true/false listed
questions; multiple-standards … more than one right
answer (at least A-D)
CR - fill-in-the blank
(PBA packet for ideas: pages 4-5 and NY Module)
Activity 7: Create different PBA-type formats
PARCC – Fractions for your grade-level
1 1 1 1 2 3 4
2 3 5 5 5 5 5
OE – compare/contrast; explain/defend; how do you
know? (Part A, Part B, Part C, …. )
PBA packet for ideas:
Grade-3: pages 7, 10
Grade-4: pages 5, 8, 11
Grade-5: pages 6, 12-14
Activity #8 : Create different question formats
PARCC – Geometry for your grade-level
Multiple Select – more than one right answer
(at least A-D)
CR – fill-in-the blank
ECR – compare/contrast; explain/defend; how do
you know? Justify …. (Part A, Part B, Part C, …. )
Share Successes/Challenges
See what online looks like!
DO: Real world application – Grade ?
Standards of Mathematical Practices (MP)
1.
Make sense of problems and persevere in solving them.
2.
Reason abstractly and quantitatively.
3.
Construct viable
arguments
andand
critique
the reasoning
of
Construct
viable
arguments
critique
the
others.
reasoning of others.
Model with
Model
withmathematics.
mathematics.
4.
5.
Use appropriate tools strategically.
6.
Attend totoprecision.
Attend
precision.
7.
Look for and make use of structure.
8.
Look for and express regularity in repeated reasoning.
QUESTION TYPES: I, II, III
http://www.coreeducationllc.com/blog2/parcc-task-andquestion-types/
TYPE I Math Practices 1-8 tasks include a balance of
conceptual understanding, fluency, and application.
TYPE II Math Practices 3 and 6 written
arguments/justifications, critique of reasoning, or precision in
mathematical statements
TYPE III Math Practices 4 tasks call for
modeling/application in a real-world context or scenario (MP.4)
and can also involve other mathematical practice standards.
See … Analyze … Do
Teacher-Made Sample Fraction Quiz (white)
and
Template to create your own (white)
both hardcopy and on FEA website
Hardcopy Resources:
EngageNY “Fractions Across Grades”
“PBAs What Are They?” packet: see pages 18(Extended Response Part A, B, C items)
SAMPLE FRACTION TEST
Review: sample teacher-made fraction test
Note:
• FORMAT of questions: MC, CR, MS, ER
• VARIETY of question style: computation, real-life
application, graph, number line equations, ….
• CONTENT that aligns with your grade level
CREATE YOUR OWN FRACTION TEST
Use Template: on FEA Website and/or hardcopy
CHANGE CONTENT to align with your grade
Share Results
Activity: Plan a TEST for Next Week
Select from material you have already taught this
year; assess your students’ skills and knowledge
with PARCC-like items. (handout: lines to plan)
RESOURCES
Answer Keys (EOY and PBA 2014 paper-pencil tests)
PARCC tests (EOY and PBA hardcopy & online gr.3.4.5)
Released test items from spring 2015
EngageNY Released items 2015 (Google for URL)
PARCC Released Items 2015 (Google for URL)
Activity : EngageNY sample questions
https://www.engageny.org/resource/new-york-statecommon-core-sample-questions
2013 (MC, CR And ER w/rubrics) Scroll down!
EngageNY sample questions
https://www.engageny.org/resource/new-york-statecommon-core-sample-questions
2014 (~25 MC, ~7 CR and ER w/rubrics) Scroll down!
Share with Colleagues
modifying/creating your own tests
See PARCC Task Types (PBA packet)
TYPE I: TASKS ASSESSING CONCEPTS, SKILLS/PROCEDURES
grade-5: PBA packet p.47-48 Area Cut Board
Grade-5: Aquarium tanks p. 46
Grade-4: see p. 38 rubric a.
machine scored
TYPE II: TASKS ASSESSING EXPRESSING MATHEMATICAL
REASONING
(See online on PARCC site.)
PBA types; part hand
scored (w/rubric)
TYPE III: TASKS ASSESSING MODELING / APPLICATIONS
grade-3: PBA packet pages 18-21, Art Teacher Rectangular array
Part A, Part B and Part C
PARCC uses
three ‘types’ of questions
http://www.coreeducationllc.com/blog2/parcc-task-and-question-types/
Type-I
GRADE-3
Fluency Number Line
Patricia’s Reading
Vans Fieldtrip
Type-II The Field
Type-III Art Teacher: Rectangular Array
PARCC uses
three ‘types’ of questions
http://www.parcconline.org/samples/mathematics/grade-4-mathematics
Type-I
Type-II
Type-III
GRADE-4
Subtraction Fluency
Fraction Comparison
Fraction Model
Three Friends’ Beads
PARCC uses
three ‘types’ of questions
http://www.parcconline.org/samples/mathematics/grade-5-mathematics
Type-I
Type-II
Type-III
GRADE-5
Two Aquarium Tanks
Area of a Cut Board
Mr. Edmund’s Pencil Box
Activity: Type-I PARCC-Questions
DO a type-I task from your grade.
(1, 2 or 4 Points): these responses can be machine
scored; PBA & EOY tests
Grade-3 – Patricia’s Reading Time
Grade 4 – Subtraction Fluency
Grade 5 – Two Aquarium Tanks (PBA pages 45-46)
Activity: Type-II PARCC-Questions
DO a type-II task from your grade.
(3 or 4 Points):
machine and hand-scored: PBA test only
Grade 3 – The Field (part-A and part-B)
Grade 4 – Fraction Comparison
Grade 5 – (You can Google “Achieve the Core”
to see mixed sample tasks.)
Activity: Type-III PARCC-Questions
DO a type-III task from your grade.
(3 or 6 Points) link to PARCC site; find each file
machine and hand-scored: PBA test only
Grade 3- Art Teacher’s Rectangular Array (PBA P.19-21)
Grade 4 – Three Friends’ Beads
Grade 5 – Mr. Edmund’s Pencil Box (PBA p. 26-28)
More Math Prototypes
Select “[Resources] [Prototypes] [Elementary…] after
linking to below:
• Grade 3 (Mariana’s Fractions)
• Grade 4 (Deer in the Park)
• Grade 4 (Stadium Seats)
or see PBA packet pages 29-33, 37-38 and 39-42)
www.achievethecore.org
• Grade K – Number Rods
• Grade 1 – The Very Hungry Caterpillar
• Grade 2 – Three Composing/Decomposing Problems
Additional Resources
Illustrative Mathematics
go to [Practice Standards]
Dana Center – CCSS Toolbox (Prototypes)
Achieve the Core (Tasks and Assessments)
Activity: PARCC ASSESSMENT resources NOW AVAILABLE
http://practice.parcc.testnav.com/# (parcc.pearson.com)
• TIPS grades 3-5, 6-8, HS
• TUTORIAL (generic instruction taking these online tests)
Part A: Moving through the test; understanding toolbars
Part B: Using tools
Part C: Equation Editor tutorial
• PRACTICE TESTS interactive: 2014 (EOY and PBA)
Share Reactions to online interactive
Tutorial(s) and Test(s)
LET’S RECAP!
•
•
•
•
•
•
•
TESTS (NY: 2013,’14,’15… released items: NJ 2014, 2015)
PARCC Content and Process Standards (MPs)
Multiple-Select new formats, vocab., directions, tools
CR new formats
ECR (new Math Practices)
Multi-formatted Parts A, B, C, ….
Resources
–
–
–
–
Hardcopy and on FEA website
Sample teacher-made Fraction Test w/blank template
Online (not interactive)
Online interactive resources
• PARCC interactive Practice Tests online / paper-pencil
• PARCC Tutorials online
Their world is changing … their minds are changing
… expectations are different!
FEEDBACK !!!
The three most useful things I learned today:
Two things I would share with a colleague:
One question that I have:
email [email protected]
Sincere thanks
for your participation,
collaboration and dedicated
efforts!!!
Judy
[email protected]