PARCC Sample Lesson Plans for Grade 4 Math

1. Lesson 9: Selected-Response—Menu Items Page 1
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Rationale
There are a variety of mathematical models, methods and strategies that students can
employ to respond to mathematical items. Many students employ a combination of
strategies. During this lesson, students will share and employ strategies, and begin
considering how they can most efficiently respond to assessment questions.
Students need to explore using different strategies for each style of item they will
encounter on the PARCC. Students need to practice selected-response problems in which
students are provided with a menu of items to select from to complete a response.
Goals
To provide the opportunity to complete selected-response items with response menus.
Students will identify which strategies are the most efficient.
To complete a pencil/paper version of technology enhanced items.
Content Standard
4.NF.5 Express a fraction with denominator 10 as an equivalent fraction with
denominator 100, and use this technique to add two fractions with respective
denominators 10 and100. For example, express 3/10 as 30/100,and add 3/10 + 4/100 =
34/100.
4.NF.6. Use decimal notation for fractions with denominators 10 or 100. For example,
rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line
diagram.
Objectives
Students will match the equivalent decimal and fraction Base-Ten expressions, assessed
through selected-response items with menu lists and drop down menus.
Students will be exposed to items that reflect the content of CCSS and the format of
PARCC.
Students will reflect upon the approaches, items and strategies that are the most and least
difficult for him or her personally.
PARCC Grade 4 Mathematics
Lesson 9: Selected-Response Strategies
Menu Items

2. Lesson 9: Selected-Response—Menu Items Page 2
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Materials
Equivalent Decimal/Fraction Base-Ten Expressions Board-Section1 and Section 2
(laminated or placed in sheet protector/communicator) one per student
Corresponding Menu Choice Cards for each Board 1 (one set for each student)
Dry Erase Markers/eraser
Scratch paper and pencil
Check for Understanding- 4 problems
Procedure
Form student pairs or small groups.
Distribute Equivalent Decimal/Fraction Base-Ten Expressions Board and corresponding
menu choice cards to each student.
The student pairs should reason and justify the equivalent expressions.
Teacher & Teachers’ Aide Observations During the Group Work
Be sure to circulate the classroom and monitor students while the students are working. Try to
observe the following and note the information:
Are students sharing their reasoning and strategies, working together?
Are students using the scratch paper as solution strategies?
Which expression was the most challenging? The least challenging?
Are students using math vocabulary in their discussion?
Check for Understanding
Have students reflect upon this experience by generating a class discussion of responses
and strategies used.
Students independently complete the 4 items. These items can serve as a formative
assessment.
Follow up
Selected-response is a solution style that needs to be reinforced throughout the year
across the domains.
Technology Enhanced PARCC Items
Selected-response style items will appear on the PARCC assessments. In some selected-
response questions, a menu of items will appear as a drop down menu. Selections from
the menu will complete the response. On the computer, the drop down menu will expand
and show all the selections when the down arrow is clicked. In each drop down menu, a
response is selected by clicking on the item. It is important to notice all the symbols

3. Lesson 9: Selected-Response—Menu Items Page 3
© 2014 Standards Solution, LLC. All Rights Reserved.
outside of the drop down menus that are part of the response. In the example below, the
equal sign and the number 72 are outside the menus.
Here is an example:
www.parcconline.org
Suggested Strategy: Students must use scratch paper and other tools (calculators,
measuring tools) to solve the problems. On the scratch paper, the student can format
the response, using a blank line in place of each drop down menu. For example, to
format the above PARCC item, the student could write: “ _____ ___ _____ = 72”
After completing the response on scratch paper, the student is ready to select from the
drop down menus and complete the response on the computer. Remember: The
computer allows the student to record their answer. It is not possible to “work out” the
answer on the computer screen.
There is another selected-response style item on the PARCC assessment where the menu
appears as list. Here is an example: Notice in this example, a menu list of fractions is
given to complete the response. It is possible for menu selections in this style item to be
used more than once (that is not the case with the drop down menu-one selection in each
drop down menu is used). Also, it is possible that some items in the menu will not be
used at all (not the case in the drop down menu style).
View before activating the
arrows.

4. Lesson 9: Selected-Response—Menu Items Page 4
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www.parcc.pearson.com
It will benefit the students to practice on the computer any technology enhanced items
that are released. The students need to be able to read the directions carefully and
engage the technology to complete the response. Following the directions for each
problem is very important.
Simulating the selected-response menu items with paper/pencil practice allows the
students to develop strategies for responding. Since the student cannot “click” the
selection on paper, circling the chosen response with pencil is used.

5. Lesson 9: Selected-Response—Menu Items Page 5
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Equivalent Expression Menu Cards
𝟑
𝟏𝟎𝟎
𝟑
𝟏𝟎
𝟔𝟎
𝟏𝟎𝟎
𝟔𝟑
𝟏𝟎𝟎
0.3 0.36 0.6 0.06
3.06 0.306
"

6. Lesson 9: Selected-Response—Menu Items Page 6
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Equivalent Decimal/Fraction Base-Ten Expressions
Section 1-Menu List
Directions: Complete the equivalent decimal/fraction expressions, using the items
provided in the menu list (cards)
𝟑𝟔
𝟏𝟎𝟎
=
𝟔
𝟏𝟎𝟎
=
0.63 = 0.03 =
𝟔
𝟏𝟎
= =
𝟑𝟎
𝟏𝟎𝟎
= =

7. Lesson 9: Selected-Response—Menu Items Page 7
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Section 2-Drop-Down Menu
Directions: Select the expressions in the drop down menus to complete the expanded equivalent
decimal/fraction expressions. Circle the selections.
1.
0.56 = +
2.
0.21= +
3.
0.49 = +
4.
0.35 = +
Choose
5
10
6
10
5
100
6
100
Choose
5
10
6
10
5
100
6
100
Choose
2
10
1
10
2
100
1
100
Choose
2
10
1
10
2
100
1
100
Choose
4
10
9
10
4
100
9
100
Choose
4
10
9
10
4
100
9
100
Choose
3
10
5
10
3
100
5
100
Choose
3
10
5
10
3
100
5
100

8. Lesson 9: Selected-Response—Menu Items Page 8
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Name__________________________________ Date____________
Check For Understanding-Equivalent Decimal Fraction
Base-Ten Expressions
Directions: Select from the menu of expressions. Write the expression in
the box.
𝟗𝟐
𝟏𝟎𝟎
=
𝟐
𝟏𝟎
=
0.9 = 0.02 =
0.58 = +
0.27 = +
!
!"" 0.2
!
!""
!
! 0.92
!
!"
Choose
5
10
8
10
5
100
8
100
Choose
5
10
8
10
5
100
8
100
Choose
2
10
7
10
2
100
7
100
Choose
2
10
7
10
2
100
7
100