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- Unit 1: Numeration - St Cyril Elementary Maps/Math 3rd grade.pdfGrade 3 Mathematics 2012-2013 ... Summative Assessment: - Chapter test ... and three-digit whole numbers to the nearest ten

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Kirsten Orlovsky

Grade 3 Mathematics

2012-2013

Unit 1: Numeration

Total Time (with summative assessment): 11 days

Performance Assessment: SWBAT use data from a trip to answer questions about planning a vacation.

Lesson Topic/

Mastery?

Objective Resources Assessment Standards Unit Concept Timeline

1. Hundreds

Master

Students will read and

write numbers in the

hundreds.

1. enVision Math book

(student and teacher editions)

2. Pearson interactive learning

videos

3. Math Manipulatives

4. Interactive Center activities

Formative Assessments:

- Student responses to

teacher

questions/problems

- In-class assignments

and quizzes

-Leveled homework

Summative Assessment:

- Chapter test

Review 2.NBT.1 2- Place Value 1 day

2. Thousands

Teach

Students will read and

write numbers in the

thousands.

(See above) (See above) Prepares for 4.NBT.1 2- Place value 1 day

3. Greater

Numbers

Teach

Students will read and

write numbers in the ten

and hundred thousands.

(See above) (See above) Prepares for 3.NBT.1 and

3.NBT.2

2-Place Value 1 day

4. Ways to

Name Numbers

Master

Students will use ordinal

numbers to show the order

of people or objects. They

will name numbers in

different ways.

(See above) (See above) Prepares for 4.NBT.2

2- Place Value 1 day

5. Comparing

Numbers

Master

Students will compare 3-

digit and 4-digit whole

numbers.

(See above) (See above) 3.NBT.1

Use place value understanding

to round whole numbers to the

nearest 10 or 100.

2-Place Value 1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013

6. Ordering

Numbers

Master

Students will order 3-digit

and 4-digit whole numbers.

(See above) (See above) 3.NBT.1 2-Place Value 1 day

7. Counting

Money

Teach

Students will find the value

of money, including $5 and

$1 bills, half dollars,

quarters, dimes, nickels

and pennies.

(See above) (See above) Reviews 2.MD.8

2- Place Value 1 day

8. Making

Change

Teach

Students will use coins and

bills to figure out the

change hey should receive

after purchasing an item.

(See above) (See above) Reviews 2.MD.8 2- Place Value 1 day

9. Problem

Solving: Make

an Organized

List

Teach

Students will make an

organized list to represent

information given in a

problem.

(See above) (See above) 3.NBT.1 2- Place Value 1 day

Unit 2: Adding Whole Numbers

Total Time (with summative assessment): 12 days

Performance Assessment: SWBAT analyze data and plan a route for the class using a map and distances of routes.

Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

1. Addition

Meaning and

Properties.

Students use concrete

materials and concepts of

addition to model the

Communicative,

Associative, and Identity

1. enVision Math book

(student and teacher editions)

2. Pearson interactive learning

videos

Formative Assessments:

- Student responses to

teacher

questions/problems

- In-class assignments

3.OA.9

Identify arithmetic patterns

(including patterns in the

addition table or multiplication

table), and explain them using

1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013 Master

Properties of Addition.

3. Math Manipulatives

4. Interactive Center activities

and quizzes

-Leveled homework

Summative Assessment:

- Chapter test

properties of operations.

3.NBT.2

Fluently add and subtract

within 1000 using strategies

and algorithms based on place

value, properties of operations,

and/or the relationship between

addition and subtraction.

2. Adding on a

Hundred Chart

Master

Students use a hundred

chart to add two-digit

numbers and develop

mental math strategies.

(See above) (See above) 3.OA.9 1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

3. Using Mental

Math to Add

Teach

Students solve problems by

adding with mental math.

(See above) (See above) Prepares for 3.NBT.2 1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

4. Rounding

Master

Students round two-digit

and three-digit whole

numbers to the nearest ten

or hundred by comparing

to the number halfway

between or by using place

value.

(See above) (See above) 3.NBT.1

1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

5. Estimating

Sums

Teach

Students solve problems by

estimating sums.

(See above) (See above) Prepares for 3.NBT.2 1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

6. Adding 2-

Digit Numbers

Teach

Students add 2-digit

numbers using paper-and-

pencil methods and use

addition to solve problems.

(See above) (See above) 3.NBT.2 1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

7. Models for

Adding 3-Digit

Numbers

Students add 3-digit

numbers using place-value

blocks or pictures and

record the results using the

(See above) (See above) 3.NBT.2 1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013

Teach

standard addition

algorithm.

8. Adding 3-

Digit Numbers

Teach

Students add 3-digit

numbers using paper-and-

pencil methods and use

addition to solve problems.

(See above) (See above) 3.NBT.1

3.NBT.2

3.OA.8

Solve two-step word problems

using the four operations.

Represent these problems using

equations with a letter standing

for the unknown quantity.

Assess the reasonableness of

answers using mental

computation and estimation

strategies including rounding.

1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

9. Adding 3 or

More Numbers

Check

Students add 3 or more 2-

and/or 3-digit numbers

using paper-and-pencil

methods and use addition

to solve problems.

(See above) (See above) 3.NBT.2

3.OA.8

1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

10. Problem

Solving: Draw a

Picture

Teach

Students draw a picture to

solve a problem.

(See above) (See above) 3.NBT.2

3.OA.8

3.MD.3

Draw a scaled picture graph

and a scaled bar graph to

represent a data set with several

categories Solve one-and two-

step how many more and

how many less problems

using information presented in

scaled bar graphs.

1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013

Unit 3: Subtraction Number Sense

Total Time (with summative assessment): 7 days

Performance Assessment: SWBAT examine data in a shopping list and answer questions regarding the supplies needed for the school carnival.

Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

1. Subtraction

Meanings

Master

Students recognize

situations when

subtraction is used to

solve a problem and

write number sentences.

1. enVision Math book

(student and teacher editions)

2. Pearson interactive learning

videos

3. Math Manipulatives

4. Interactive Center activities

Formative Assessments:

- Student responses to

teacher

questions/problems

- In-class assignments

and quizzes

-Leveled homework

Summative Assessment:

- Chapter test

Reviews 2.OA.5 and 2.NBT.5

1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

2. Subtracting on a

Hundred Chart

Master

Students will use a

hundred chart to subtract

2-digit numbers and

develop mental math

strategies.

(See above) (See above) Reviews 2.OA.5 1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

3. Using Mental

Math to Subtract

Teach

Students will solve

problems by subtracting

with mental math.

(See above) (See above) Prepares for 3.NBT.2 1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

4. Estimating

Differences

Teach

Students will solve

problems by estimating

differences.

(See above) (See above) Prepares for 3.NBT.2 1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

5. Problem

Solving:

Reasonableness

Teach

Students will solve word

problems and check their

answers for

reasonableness.

(See above) (See above) 3.NBT.2

3.OA.8

3- Multiplication

and Division

1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013

Unit 4: Subtracting Whole Numbers to Solve Problems

Total Time (including summative assessment): 8 days

Performance Assessment: SWBAT examine data given about tickets and prizes at a video arcade, and make a prize log to show the amount of tickets

they would have left after purchasing certain prizes.

Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

1. Models for

Subtracting 2-

Digit Numbers

Teach

Students subtract 2-digit

numbers using place-value

blocks or pictures and

record the results using the

standard subtraction

algorithm.

1. enVision Math book

(student and teacher editions)

2. Pearson interactive learning

videos

3. Math Manipulatives

4. Interactive Center activities

Formative Assessments:

- Student responses to

teacher

questions/problems

- In-class assignments

and quizzes

-Leveled homework

Summative Assessment:

- Chapter test

3.NBT.2

1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

2. Subtracting 2-

Digit Numbers

Teach

Students subtract 2-digit

numbers using paper-and-

pencil methods and use

subtraction to solve

problems.

(See above) (See above) 3.NBT.2 1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

3. Models for

Subtracting 3-

Digit Numbers

Teach

Students subtract 3-digit

numbers using place-value

blocks or pictures and

record the results using the

standard subtraction

algorithm .

(See above) (See above) 3.NBT.2

3.OA.8

1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

4. Subtracting 3-

Digit Numbers

Teach

Students subtract 3-digit

numbers using paper- and-

pencil methods and use

subtraction to solve

problems.

(See above) (See above) 3.NBT.2

3.OA.8

1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

5. Subtracting

Across Zero

Students subtract 3-digit

numbers using paper-and-

pencil methods and use

(See above) (See above) 3.NBT.2 1- Multi-Digit

and Multi-Step

addition and

1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013

Unit 5: Multiplication Meanings and Facts

Total Time (including summative assessment): 12 days

Performance Assessment: SWBAT compare data regarding boxes of cards and the price of each box, and use the information to decide how many

boxes they need to sell to raise money for the soccer team.

Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

1. Multiplication

as Repeated

Addition

Teach

Students will write

multiplication number

sentences for given

equal group situations,

using the X symbol.

1. nvision Math book

(student and teacher editions)

2. Pearson interactive learning

videos

3. Math Manipulatives

4. Interactive Center activities

Formative Assessments:

- Student responses to

teacher

questions/problems

- In-class assignments

and quizzes

-Leveled homework

Summative Assessment:

- Chapter test

3.OA.1

Interpret products of whole

numbers.

3.OA.3

Use multiplication and division

within 100 to solve word

problems in situations

involving equal groups, arrays

and measurement quantities.

3.OA.5

Apply properties of operations

as strategies to multiply and

divide.

3- Fluency in

Multiplication

and Division

1 day

2. Arrays and

Multiplication

Students will write

multiplication sentences

for arrays, use arrays to

find products, and use

(See above) (See above) 3.OA.1

3.OA.3

3- Fluency in

Multiplication

and Division

1 day

Teach

subtraction to solve

problems.

subtraction.

6. Problem

Solving: Draw a

Picture and

Write a Number

Sentence

Teach

Students solve problems

by writing a number

sentence based on a

picture they have drawn

describing the problem.

(See above) (See above) 3.NBT.1

3.OA.8

3.MD.3

1- Multi-Digit

and Multi-Step

addition and

subtraction.

1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013 Teach the Commutative

Property of

Multiplication.

3.OA.4

Determine the unknown whole

number in a multiplication or

division equation relating three

whole numbers.

3.OA.5

Apply properties of operations

as strategies to multiply and

divide.

3.OA.9

3.MD.7.b

Multiply side lengths to find

areas of rectangles with whole-

number side lengths in the

context of solving real world

and mathematical problems,

and represent whole-number

products as rectangular areas in

mathematical reasoning.

3. Using

Multiplication to

Compare

Teach

Students will use models

and write multiplication

sentences to compare

amounts.

(See above) (See above) 3.OA.1

3.OA.3

3- Fluency in

Multiplication

and Division

1 day

4. Writing

Multiplication

Stories

Teach

Students will write math

stories for given

multiplication facts.

(See above) (See above) 3.OA.1

3.OA.3

3.OA.5

3- Fluency in

Multiplication

and Division

1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013 5. Problem

Solving: Writing

to Explain

Teach

Students will use

objects, words, pictures,

numbers, and

technology to provide a

written explanation

reflecting their

understanding.

(See above) (See above) 3.OA.1

3.OA.3

3.OA.5

3.OA.9

3- Fluency in

Multiplication

and Division

1 day

6. 2 and 5 as

Factors

Teach

Students will use

patterns to multiply with

2 and 5 as factors.

(See above) (See above) 3.OA.3

3.OA.9

3- Fluency in

Multiplication

and Division

1 day

7. 10 as a Factor

Teach

Students will use

patterns to multiply with

10 as a factor.

(See above) (See above) 3.NBT.3

Multiply one-digit whole

numbers by multiples of 10 in

the range 10-90 using strategies

based on place value and

properties of operations.

3.OA.3

3.OA.8

3.OA.9

3- Fluency in

Multiplication

and Division

1 day

8. 9 as a Factor

Teach

Students will use

patterns to multiply with

9 as a factor.

(See above) (See above) 3.OA.3

3.OA.7

Fluently multiply and divide

within 100 using strategies such

as the relationship between

multiplication and division or

properties of operations. By

the end of grade 3, know from

memory all products of two

one-digit numbers.

3.OA.8

3.OA.9

3- Multiplication

and Division

1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013 9. Multiplying

with 0 and 1

Teach

Students will use

patterns and properties

to multiply with 0 and 1

as factors.

(See above) (See above) 3.OA.3

3.OA.9

3- Fluency in

Multiplication

and Division

1 day

10. Problem

Solving: Two-

Question Problems

Teach

Students will solve for

one problem and use the

solution to complete a

second problem.

(See above) (See above) 3.OA.3

3.OA.8

3- Fluency in

Multiplication

and Division

1 day

Unit 6: Multiplication Facts: Use Known Facts

Total Time (including summative assessment): 9 days

Performance Assessment: SWBAT use bake sale information and apply their knowledge of multiplication to solve problems.

Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

1. 3 as a Factor

Teach

Students will use known

facts to find products with

3 as a factor.

1. enVision Math book

(student and teacher editions)

2. Pearson interactive learning

videos

3. Math Manipulatives

4. Interactive Center activities

Formative Assessments:

- Student responses to

teacher

questions/problems

- In-class ass