Core Assessments - Radnor School District

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Nov 21, 2013 (3 years and 10 months ago)

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Radnor Township School District


Grade Level:

Firs
t Grade

Kathy Anderson and Anne Childs

Course/Subject:

Mathematics

Unit:

Relationships between Number Patterns on
the Hundred Grid

Estimated # of weeks:

As needed

STAGE 1: IDENTIFY DESIRED RESULTS

Pennsylvania Content Standards

Standard 1: Arithmetic
and Number Concepts
-

Describe, represent and apply numbers and their relationships
and estimate and compute using mental strategies, paper and pencil and technology


Standard 5: Problem Solving and Mathematical Reasoning


Demonstrate problem solving and m
athematical
reasoning by using mathematical concepts and skills to solve non
-
routine problems that do not lay out
specific and detailed steps to follow. Solve problems that make demands on all three aspects of the solution
process


formulation, implementa
tion and conclusion.

Enduring Understandings

Essential Questions

Students will understand
that

patterns in math help
us solve problems

The unit level in mathematics will reflect:


How do patterns help us understand how numbers
relate to one another?

Kn
owledge Skills


Students will know number patterns

Students will recognize patterns

Student will use the hundred grid to aid them in 2
-

digit addition



Students will use patterns to solve math pro
blems.

STAGE 2: DETERMINE ACCEPTABLE EVIDENCE

Core Assessments

Representative Class Assessments

Assessments should be developed before lessons and
activities are designed; clear evidence of learning.


Unit assessments

Midyear assessment

From Every Day M
ath as directed by the district

Independently designed and/or implemented
appropriately to measure student achievement that
honors learning style and desired targets.
Performance tasks (real world authentic experience);

Application of transfer


wisdom in

a new way; open
-
ended; complex.


Key indicators of short and long term progress
:



Dot
-
dot papers = counting by 2’s, 5’s, 10’s



Number Scrolls to complete



Partially filled in number grid to complete



Regrouping manipulatives on the smart Board
and in real tim
e



Addition Problems that reflect understanding
of counting on the Hundred Grid

STAGE 3: DEVELOP LEARNING PLAN

Learning Plan

Differentiated Instructional Strategies/Learning Plan and Assessments geared toward success.

Learning activities include the six

facets of understanding to hook, engage, and equip students for desired
performances: Explanation (Explain), Interpretation (Propose, discuss), Perspective (show how; conduct);
Self
-
knowledge (reflect); Empathy (role
-
play, imagine); Application (interpr
et, plan).


Hook

= Utilize 100 grid on the Smart Board and Discovery Learning Sites:
http://www.discoveryeducation.com/


Engage

= Provide experiences:



manipulating numbers on the Smart Board grid



use th
e Discovery Learning Sites to reinforce and re
-
teach

Equip

= Understanding of strategies to determine:



odd and even numbers



counting by 2’s, 5’s and 10’s



addition on the Hundred Grid



Explanation
(explain) = The 100 grid is a resource that is a visual
representation of our numerical system


Interpretation
(propose, discuss) = We know that there are patterns on the 100 chart that will help us count
and add.


Perspective
(show how; conduct) = Student discovery of number patterns on the 100 grid.



Discovery Learning Sites: Discovery Learning.Com


Odd and Even Numbers



Literary connection to discuss and demonstrate odd and even numbers

“Even Steven and Odd Todd” by Kathryn Cristaldi, Illustrated by Henry B. Marchouse::

Scholastic Book
s.

“What Comes in 2’s, 3’s & 4’s?” by Suzanne Aker, Illustrated by Bernie Karlin: Simon and Schuster
Books.



The Smart Board 100 grid to show the colored number tiles as odd and evens.



Worksheet of a number grid to have the children color in the odd and e
ven numbers

(Everyday Math CD)


Math Masters Lesson 3.2 page 54



Discovery Learning: “The Number Crew


Drinks for All” (Grades K
-
2)

http://www.discoveryeducation.com/


Counting by 2’s, 5’s and 10’s



Manip
ulatives to count items grouping by 5’s and 10’s.



Literary connection to discuss and demonstrate odd and even numbers

“Cheerios Counting Book” by Barbara McGrath, Illustrated by Rob Bulster and Frank Mazzola:
Scholastic Books

“Reese’s Pieces” by Jerry Pa
llotta, Illustrated by Rob Bolster, Scholastic Books



Utilize a dot to dot worksheet that provides practice in this skip counting procedure


(Everyday Math CD)


Math Masters by 2’s page 36, by 5’s page 40



The Smart Board 100 grid to show the colored
number tiles



Number scrolls become vehicles that with demonstrate counting patterns by 2’s, 5’s and 10’s


(Everyday Math CD)


Math Masters Beginning Scroll page 109, Continuing Scroll page 110, and
the Negative numbers page 111






Discovery Learni
ng: “The Skip Counting Song” 2”s, 5’s and 10’s (Grades K
-
2)

Skip Counting Song

We are singing the skip counting song.

We’re learning our numbers, won’t you sing along?

Counting by 10’s or 5’s or 2”s

Will help us multiply when we are through!

10, 20, 30, 4
0, 50, 60, 70, 80, 90, 100, 110, 120 REPEAT

Count by 5’s to 60 REPEAT

Count by 2’s to 24 REPEAT


Discovery Learning: “Patterns in Making 10”(Grades K
-
2)


http://www.discoveryeducation.com/



A
ddition on the Hundred Grid



Sums < 10: Counting on the addend



Sums < 100: Counting on the addend



Utilize the lesson tools that reflect this process


(Everyday Math CD)


Tens and Ones Trading Game Lesson 5.3 Math Masters, page 102. Tens
and Ones Mat

Lesson 5.1 page 96



Utilize Base Ten blocks to provide background knowledge with a kinesthetic experiences


“Trading Game”



Smart Board Base Ten Blocks are interactive manipulatives that compliment



Discovery Learning: “Discovering Math: Algebra (G
rades K
-
2)


http://www.discoveryeducation.com/



Self Knowledge

(reflect) = Conversations as a class to identify patterns.



Discovery Learning: “Mathica’s Mathshop: A Sure Cure
-

3’s and 10’s”


http://www.discoveryeducation.com/


(Everyday Math CD): Math Masters Counting by 3’s page 56


Empathy
(role play) = A whole class review on the interactive Hundred grid on the S
mart Board would
provide such a opportunity



Discovery Learning: “Mathica’s Mathshop: A Sure Cure


A Guessing Game”


http://www.discoveryeducation.com/


Application

(interpret) = The assessm
ents plus the Math Box sections in each unit provide a check of
the patterns understood and applied. Access the Everyday Math CD.


Differentiated Instruction:



If student can count and identify odd and even numbers extend student understanding with
experi
ences on the number grid and
find and recognize
real life examples
.




If student
can count by 2’s, 5’s and 10’s extend student understanding with experiences in
counting by 3’s, 4’s, 6’s, etc.



If student can demonstrate knowledge of double digit addition us
ing the 100 grid extend student
understanding with experiences in paper and pencil computation without the grid.