First Grade Essential Question(s): How do we solve ...

[Pages:19]Math Curriculum First Grade

Essential Question(s): How do we solve addition and subtraction sentences to solve real world problems with and without concrete objects?

21st Century Theme: Business

21st Century Skills: Critical Thinking and Problem Solving

Content:

Operations & Algebraic Thinking

Standards:

1. OA

A. Represent and solve problems involving addition and subtraction.

Skills

Instructional Procedures

Assessment

Resources

1. Use addition and

*Solve for results unknown: 6-

subtraction within 20 to solve 2=__ or 3+__=8

word problems involving

*Concrete models to introduce

situations of adding to, taking & solve addition & subtraction

from, putting together, taking problems.

*Picture

apart, and comparing, with drawings to solve word

unknowns in all positions, e.g., problems/and other addition

by using objects, drawings, and subtraction problems.

and equations with a symbol *Creation of art projects to

for the unknown number to depict addition & subtraction

represent the problem.1

sentences.

Formative Assessment Flashcard

Open- ended Problem Math word wall

Self Assessment

Counters (variety)

Teacher Observation

Connecting Cubes

Benchmark Assessment Chalkboard

Homework Review

Number line

Class work Review

Work mats

Project-Based Assessment Computer

Timed Drills

Software

End of the Year Benchmark SmartBoard

Assessment

Flannel Board

Math Software (ex. Study Center Games

Island)

Group & Math CD songs

cooperative work

Interdisciplinary Connections Art Creating Pictures depicting adding & subtracting sentences. Writing- Write on addition & subtraction word problems.

Vocabulary

Vertical subtraction & addition Horizontal addition & subtraction Fact families Plus Sum Equal In all Addends Difference Minus Subtract Zero Add symbols How Many All together Double Facts Doubles Plus One Facts Digits

2. Solve word problems that * Concrete models to solve

call for addition of three

word problems.

whole numbers whose sum is *Picture drawings to solve 3

less than or equal to 20, e.g., digit addition problems. (ex.

by using objects, drawings, 3+2+1=)

and equations with a symbol

for the unknown number to

represent the problem.

3. Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects).

*Use concrete objects to correlate with given number. *Modeling of correct numeral formation.

Math Curriculum First Grade

Formative Assessment Concrete counters Art-Draw related picture Count on

Open- ended Problem and objects

for given word problem. Addends

Self Assessment

Music- addition or

Sum

Teacher Observation

subtraction songs

Equations

Benchmark Assessment

Missing number

Homework Review

Class work Review

Project-Based Assessment

Timed Drills

End of the Year Benchmark

Assessment

Math Software (ex. Study

Island)

Group &

Formative Assessment Various concrete

Sets

Open- ended Problem items Numeral

Groups

Self Assessment

formation

Count

Teacher Observation

Flashcards

Benchmark Assessment

Homework Review

Class work Review

Project-Based Assessment

Timed Drills

End of the Year Benchmark

Assessment

Math Software (ex. Study

Island)

Group &

cooperative work

Math Curriculum First Grade

Essential Question(s): How do we solve addition and subtraction problems/ sentences?

21st Century Theme:

21st Century Skills:

Content:

Operations & Algebraic Thinking

Standards:

1. OA

B. Understand and apply properties of operations and the relationship between addition and subtraction.

Skills

Instructional Procedures

Assessment

Resources

3. Apply properties of

*Concrete models to introduce Formative Assessment Counters

operations as strategies to and solve addition and

Open- ended Problem Connecting Cubes

add and subtract.2 Examples: subtraction sentences.

Self Assessment

Computer

If 8 + 3 = 11 is known, then 3 + *Picture drawing to solve

Teacher Observation

Software

8 = 11 is also known.

various addition and subtraction Benchmark Assessment SmartBoard

(Commutative property of sentences.

Homework Review

Chalk Board

addition.) To add 2 + 6 + 4, the

Class work Review

MiniWhite Boards

second two numbers can be

Project-Based Assessment

added to make a ten, so 2 + 6

Timed Drills

+ 4 = 2 + 10 = 12. (Associative

End of the Year Benchmark

property of addition.)

Assessment

Math Software (ex. Study

Island)

Group &

cooperative work

Student produced models

Interdisciplinary Connections Literature: Mission Addition by: Loreen Leedy Subtraction Action by: Loreen Leedy Elevator Magic by: Stuart J. Murphy Science: Using science related items to count (ex. acorns, shells, etc.)

Vocabulary

Fact Families (Same as above)

4. Understand subtraction as Use concrete objects to teach an unknown-addend problem. concept. For example, subtract 10 ? 8 Teach students to count up on by finding the number that the number line. 10-8=___ makes 10 when added to 8. Have students start at 8 and Add and subtract within 20. count how many numbers to

10.

Math Curriculum First Grade

Formative Assessment Counters

Open- ended Problem Connecting Cubes

Self Assessment

Computer

Teacher Observation

Software

Benchmark Assessment SmartBoard

Homework Review

Chalk Board

Class work Review

MiniWhite Boards

Project-Based Assessment Number Line

Timed Drills

End of the Year Benchmark

Assessment

Math Software (ex. Study

Island)

Group &

cooperative work

Student produced models

Literature: Create a subtraction number story book.

Math Curriculum First Grade

Essential Question(s): How is addition and subtraction related?

21st Century Theme:

Content:

Operations & Algebraic Thinking

Standards:

1. AO

C. Add and subtract within 20.

Skills

Instructional Procedures

Assessment

Resources

5. Relate counting to addition *Use drawings to solve addition Formative Assessment Number line

and subtraction (e.g., by

and subtraction problems.

Open- ended Problem Manipulatives

counting on 2 to add 2).

*Use models to introduce and Self Assessment

practice addition & subtraction Teacher Observation

problems.

Benchmark Assessment

Homework Review

Class work Review

Project-Based Assessment

Timed Drills

End of the Year Benchmark

Assessment

Math Software (ex. Study

Island)

Group &

cooperative work

Interdisciplinary

Vocabulary

Connections

Literature: A Bag Full of Counting on

Pups by: Dick

counting back

Gackenbach

Math Curriculum First Grade

6. Add and subtract within 20, *Use songs, chants, rhymes Formative Assessment Math CD songs Literature: Have

demonstrating fluency for related to addition/ subtraction Open- ended Problem Addition charts students write their

addition and subtraction

to enhance fluency.

Self Assessment

Adding and

own addition/

within 10. Use strategies such *Continue to use concrete

Teacher Observation

subtracting

subtraction rap.

as counting on; making ten models, picture drawings to Benchmark Assessment website for songs:

(e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 solve addition & subtraction Homework Review



= 14); decomposing a number problems.

Class work Review

math/a

leading to a ten (e.g., 13 ? 4 =

Project-Based Assessment dditionsubtractions

13 ? 3 ? 1 = 10 ? 1 = 9); using

Timed Drills

ongs.htm

the relationship between

End of the Year Benchmark

addition and subtraction (e.g.,

Assessment

knowing that 8 + 4 = 12, one

Math Software (ex. Study

knows 12 ? 8 = 4); and

Island)

Group &

creating equivalent but easier

cooperative work

or known sums (e.g., adding 6

+ 7 by creating the known

equivalent 6 + 6 + 1 = 12 + 1 =

13).

Essential Question(s):

Math Curriculum First Grade

How do we determine if number sentences are true or false?

21st Century Theme:

Content:

Operations and Algebraic Thinking

Standards:

1.OA

D. Work with addition and subtraction equations.

Skills

Instructional Procedures

Assessment

Resources

Interdisciplinary

Connections

7. Understand the meaning of Concrete modeling to introduce Formative Assessment Concrete

Language Arts: Have

the equal sign, and determine equal/not equal concepts.

Open- ended Problem objects/manipulati students create their

if equations involving addition Picture drawings to show equal Self Assessment

ve

own problems for

and subtraction are true or and not equal sets.

Teacher Observation

Number lines

center time.

false. For example, which of

Benchmark Assessment Counting Cubes

the following equations are

Homework Review

SmartBoart

true and which are false? 6 =

Class work Review

Chalkboard

6, 7 = 8 ? 1, 5 + 2 = 2 + 5, 4 + 1

Project-Based Assessment Computer

= 5 + 2.

Timed Drills

Software

End of the Year Benchmark

Assessment

Math Software (ex. Study

Island)

Group &

cooperative work

Vocabulary

Equal Signs True False Correct Incorrect Equals "Equal To" Symbol Equal Sets Unequal sets

8. Determine the unknown Use concrete models, pictures

whole number in an addition or drawings to solve addition

or subtraction equation

and subtraction problems.

relating three whole numbers.

For example, determine the

unknown number that makes

the equation true in each of

the equations 8 + ? = 11, 5 = _

? 3, 6 + 6 = _.

Math Curriculum First Grade

Formative Assessment Math CD songs

Open- ended Problem Center games

Self Assessment

Counting Cubes

Teacher Observation

and other

Benchmark Assessment manipulative

Homework Review

counters

Class work Review

Project-Based Assessment

Timed Drills

End of the Year Benchmark

Assessment

Math Software (ex. Study

Island)

Group &

cooperative work

Have students write Missing addends

addition and subtraction Vertical

equations related to addition/subtractio

problems in the

n

classroom. Ex. I have 3 Unknown number

pieces of paper and 6

students, how many

more do I need?

3+__=6

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