Transcript

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 assignments

and quizzes

-Leveled homework

Summative Assessment:

- Chapter test

3.OA.3

3.OA.8

3.MD.7.c

Use tiling to show in a

concrete case that the area of a

rectangle with whole-number

side lengths a and b+c is the

sum of axb and axc. Use area

models to represent the

distributive property in a

mathematical reasoning.

3- Fluency in

Multiplication and

Division

1 day

2. 4 as a Factor

Students will use known

facts and doubles to find

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

3.OA.5

3- Fluency in

Multiplication and

1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013

Teach

products with 4 s a factor.

3.OA.8

3.MD.7.c

Division

3. 6 and 7 as

Factors

Teach

Students will use known

facts to find products with

6 and 7 as factors.

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

3.OA.8

3.MD.7.c

3- Fluency in

Multiplication and

Division

1 day

4. 8 as a Factor

Teach

Students will use known

facts and doubles to find

products with 8 as a

factor.

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

3.MD.7.c

3- Fluency in

Multiplication and

Division

1 day

5. 11 and 12 as

Factors

Teach

Students will use patterns

to multiply with 11 and 12

as factors.

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

3.OA.3

3.OA.9

3- Fluency in

Multiplication and

Division

1 day

6. Multiplying

with 3 Factors

Teach

Students will multiply

three numbers and use the

Associative Property of

Multiplication

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

3.OA.5

3- Fluency in

Multiplication and

Division

1 day

7. Problem

Solving:

Multiple-Step

Problems

Teach

Students will solve

multiple-step problems.

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

3.OA.8

3.MD.8

Solve real world and

mathematical problems

involving perimeters of

polygons, including finding

the perimeter given the side

lengths finding an unknown

side length and exhibiting

rectangles with the same

perimeter and different areas

or with the same area and

different perimeters.

3- Fluency in

Multiplication and

Division

1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013

Unit 7: Division Meanings

Total Time (including summative assessment): 7 days

Performance Assessment: SWBAT create a chart using division to display what a rock collection might look like in different scenarios.

Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

1. Division as

Sharing

Teach

Students will use models

to solve division problems

involving sharing and

record solutions using

division 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

3.OA.2

Interpret whole-number

quotients of whole numbers.

3.OA.3

3.OA.4

3- Fluency in

Multiplication and

Division

1 day

2. Understanding

Remainders

Teach

Students will learn that

when dividing, there may

be some left over called a

remainder.

(See above) (See above) 3.OA.2

3.OA.3

3- Fluency in

Multiplication and

Division

1 day

3. Division as

Repeated

Subtraction

Teach

Students will use models

to solve division problems

involving repeated

subtraction and record

solutions using division

number sentences.

(See above) (See above) 3.OA.2

3.OA.3

3.OA.4

3- Fluency in

Multiplication and

Division

1 day

4. Writing

Division Stories

Teach

Students will write and

solve number stories

involving division.

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

3.OA.4

3- Fluency in

Multiplication and

Division

1 day

5. Problem

Solving: Use

Objects and

Draw a Picture

Teach

Students will solve

problems by using objects

and drawing a picture.

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

3.OA.8

3.MD.8

3- Multiplication

and Division

1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013

Unit 8: Division Facts

Total time (including summative assessment): 8 days

Performance Assessment: SWBAT use division to organize data about putting stamps in an album for display.

Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

1. Relating

Multiplication

and Division

Teach

Students will give a

multiplication fact, state a

related division fact and

vice versa.

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.OA.3

3.OA.4

3.OA.7

4- Relationship

between

multiplication and

division

1 day

2. Fact Families

with 2, 3, 4 and

5

Teach

Students will give

quotients for division facts

with divisors of 2, 3, 4 or

5.

(See above) (See above) 3.OA.2

3.OA.3

3.OA.4

3.OA.6

Understand division as an

unknown- factor problem.

3.OA.7

4- Relationship

between

multiplication and

division

1 day

3. Fact Families

with 6 and 7

Teach

Students will give

quotients for division facts

with divisors of 6 and 7.

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

3.OA.6

3.OA.7

4- Relationship

between

multiplication and

division

1 day

4. Fact Families

with 8 and 9

Teach

Students will give

quotients for division facts

with divisors of 8 and 9.

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

3.OA.6

4- Relationship

between

multiplication and

division

1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013 3.OA.7

5. Dividing with

0 and 1

Teach

Students will use patterns

and fact families to find

answers to division facts

with 0 and 1.

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

3.OA.4

4- Relationship

between

multiplication and

division

1 day

6. Problem

Solving: Draw a

Picture and

Write a Number

Sentence

Teach

Students will solve

division problems

involving sharing and

repeated subtraction by

drawing a picture and

writing a number sentence.

(See above) (See above) 3.OA.3 4- Relationship

between

multiplication and

division

1 day

Unit 9: Patterns and Relationships

Total Time (including summative assessment): 10 days

Performance Assessment: SWBAT create a tower using pattern blocks.

Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

1. Repeating

Patterns

Teach

Students will identify and

extend repeating geometric

or repeating number

patterns.

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.OA.9

1- Multi-Digit and

Multi-Step

addition and

subtraction

1 day

2. Number

Sequences

Teach

Students will identify and

extend whole-number

patterns involving addition

and subtraction.

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

Multi-Step

addition and

subtraction

1 day

3. Extending Students will extend tables (See above) (See above) 3.OA.9 1- Multi-Digit and 1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013 Tables

Teach

of ordered airs for

situations involving

multiplication, addition, or

subtraction.

Multi-Step

addition and

subtraction

4. Writing Rules

for Situations

Teach

Students will find a rule

and extend the table, given

a table of number pairs.

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

Multi-Step

addition and

subtraction

1 day

5. Translating

Words to

Expressions

Teach

Students will translate

words or situations to

expressions.

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

Multi-Step

addition and

subtraction

1 day

6. Geometric

Patterns

Teach

Students will extend

patterns of cubes or tiles.

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

Multi-Step

addition and

subtraction

5- Geometry

1 day

7. Equal or

Unequal

Teach

Students will compare

expressions to determine if

they are equal or unequal.

(See above) (See above) 1- Multi-Digit and

Multi-Step

addition and

subtraction

1 day

8. Problem

Solving: At It

Out and Use

Reasoning

Teach

Students will use the

strategies Act It Out and

Use Reasoning to solve

problems.

(See above) (See above) 1- Multi-Digit and

Multi-Step

addition and

subtraction

1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013

Unit 10: Solids and Shapes

Total time (including summative assessment): 10 days

Performance Assessment: SWBAT use their knowledge of 3 dimensional shapes in order to create a chart describing the amount of flat surfaces,

edges, and vertices in each solid figure contained in the diagram.

Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

1. Solid Figures

Check

Students will identify

solid figures by name

and describe their

attributes.

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 1.G.2

5- Geometry 1 day

2. Relating Solids

and Shapes

Teach

Students will identify

shapes related to given

solids.

(See above) (See above) Reviews 1.G.2

5- Geometry 1 day

3. Lines and Line

Segments

Check

Students will identify

lines and line segments

and explore their

different relationships.

(See above) (See above) Prepares for 4.G.1 5- Geometry 1 day

4. Angles

Teach

Students will identify

and classify angles in

relation to right angles.

(See above) (See above) Prepares for 4.G.1 5- Geometry 1 day

5. Polygons

Check

Students will identify

and classify polygons.

(See above) (See above) 3.G.1

Understand that shapes in

different categories may share

attributes and that the shared

5- Geometry 1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013 attributes can define a larger

category. Recognize

rhombuses, rectangles, and

squares as examples of

quadrilaterals that do not

belong to any of these

subcategories.

6. Triangles

Teach

Students will identify

and classify triangles.

(See above) (See above) 3.G.1 5- Geometry 1 day

7. Quadrilaterals

Teach

Students will identify

and classify

quadrilaterals.

(See above) (See above) 3.G.1 5- Geometry 1 day

8. Problem

Solving: Make

and Test

Generalizations

Teach

Students will identify

commonalities among

objects or situations to

make and test

generalizations.

(See above) (See above) 3.G.1 5- Geometry 1 day

Unit 12: Understanding Fractions

Total time (including summative assessment): 12 days

Performance Assessment: SWBAT create tile designs using their knowledge of fractions.

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013

Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

1. Dividing

Regions into

Equal Parts

Teach

Students will identify

regions that have been

divided into equal-sized

parts and divide regions

into equal-sized parts.

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.NF.1

Understand a fraction 1/b as

the quantity formed by 1 part

when a whole is partitioned

into b equal parts; understand

a fraction a/b as the quantity

formed by a parts of size 1/b.

3.G.2

Partition shapes into parts with

equal areas. Express the area

of each part as a unit fraction

of the whole.

7- Fractions 1 day

2. Fractions and

Regions

Teach

Students will associate the

model, symbol and words

used to describe a

fractional part of a whole

region.

(See above) (See above) 3.NF.1

7- Fractions 1 day

3. Fractions and

Sets

Teach

Students will associate the

model, symbol and words

used to describe a

fractional part of a set.

(See above) (See above) 3.NF.1 7- Fractions 1 day

4. Benchmark

Fractions

Teach

Students use benchmark

fractions to estimate

fractional parts.

(See above) (See above) 3.NF.2.a

Represent a fraction 1/b on a

number line diagram by

defining the interval from 0 to

1 as the whole and partitioning

it into b equal parts.

Recognize that each part has

size 1/b and that the endpoint

of the part based at 0 locates

the number 1/b on the number

line.

7- Fractions 1 day

5. Finding

Equivalent

Fractions

Teach

Students will use models

to find equivalent

fractions.

(See above) (See above) 3.NF.3

Explain equivalence of

fractions in special cases, and

compare fractions by

reasoning about their size.

7- Fractions 1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013 3.NF.3.a

Understand two fractions as

equivalent if they are the same

size, or the same point on a

number line.

3.NF.3.b

Recognize and generate

simple equivalent fractions.

Explain why the fractions are

equivalent.

6. Using Models

to Compare

Fractions

Teach

Students will use models

to compare fractions.

(See above) (See above) 3.NF.3

3.NF.3.a

3.NF.3.b

7- Fractions 1 day

7. Fractions on

the Number

Line

Check

Students will find and

write fractions and mixed

numbers on a number line.

Students will compare and

order fractions and mixed

numbers.

(See above) (See above) 3.NF.2

Understand a fraction as a

number on the number line;

represent fractions on a

number line diagram.

3.NF.2.a

3.NF.2.b

Represent a fraction a/b on a

number line diagram by

making off a lengths 1/b from

0. Recognize that the

resulting interval has size a/b

and that its endpoint locates

the number a/n on the number

line.

3.NF.3.a

7- Fractions 1 day

8. Using Models

to Add Fractions

Teach

Students will add fractions

with like denominators,

using models.

(See above) (See above) Prepares for 4.NF.3.a 7- Fractions 1 day

9. Using Models

to Subtract

Students will subtract

fractions with like

(See above) (See above) Prepares for 4.NF.3.a 7- Fractions 1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013 Fractions

Teach

denominators, using

models.

10. Problem

Solving: Make a

Table and Look

for a Pattern

Teach

Students will make a table

and look for a pattern to

solve a problem.

(See above) (See above) 3.OA.3 7- Fractions 1 day

Unit 14: Customary Measurement

Total time (including summative assessment): 8 days

Performance Assessment: SWBAT analyze questions involving customary measurement using real-life examples of construction and cooking.

Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

1. Understanding

Measurement

Teach

Students will understand

the measurement process

and the need for standard

units. Students learn to

measure length with

nonstandard units and to

the nearest inch.

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

Prepares for 3.MD.2 6- Measurement 1 day

2. Fractions of an

Inch

Teach

Students will measure

length to the nearest ½

inch and to the nearest ¼

inch.

(See above) (See above) 3.MD.4

Generate measurement data by

measuring lengths using rulers

marked with halves and

fourths of an inch. Show the

data by making a line plot,

6- Measurement 1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013 where the horizontal scale is

marked off in appropriate

units- whole numbers, halves,

or quarters

3. Using Inches,

Feet, Yards and

Miles

Teach

Students will choose an

appropriate unit, estimate,

and measure in feet,

yards, and miles.

Students will convert

units among inches, feet

and yards.

(See above) (See above) 3.MD.2

Measure and estimate liquid

volumes and masses of objects

using standard units of grams,

kilograms, and liters. Add,

subtract, multiply or divide to

solve one-step word problems

involving masses or volumes

that are given in the same

units.

6- Measurement 1 day

4. Customary

Units of Capacity

Teach

Students will choose an

appropriate unit and tool,

estimate, and measure in

cups, pints, quarts and

gallons. Students will

identify objects that hold

about a cup, a pint, a

quart, or a gallon.

(See above) (See above) 3.MD.2 6- Measurement 1 day

5. Units of

Weight

Teach

Students will choose an

appropriate unit and tool,

estimate, and measure in

ounces, pounds and tons.

Students identify objects

that weigh about an

ounce, a pound or a ton.

(See above) (See above) 3.MD.2 6- Measurement 1 day

6. Problem

Solving: Act it

Out and Use

Reasoning

Teach

Students will solve

problems by acting out

the information given by

using their reasoning

skills.

(See above) (See above) 3.MD.2 6- Measurement 1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013

Unit 15: Metric Measurement

Total time (including summative assessment): 7 days

Performance Assessment: SWBAT analyze data about metric measurements in order to answer questions about making jewelry.

Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

1. Using

Centimeters and

Decimeters

Teach

Students will estimate and

measure lengths in

centimeters.

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.MD.2 6- Measurement 1 day

2. Using Meters

and Kilometers

Teach

Students will choose an

appropriate unit, estimate

and measure in meters and

kilometers. Students

convert units among

kilometers, meters,

centimeters and

millimeters.

(See above) (See above) 3.MD.2

6- Measurement 1 day

3. Metric Units

of Capacity

Teach

Students will choose an

appropriate unit and tool,

estimate and measure in

millimeters and liters.

Students identify objects

that hold about a liter or a

milliliter.

(See above) (See above) 3.MD.2 6- Measurement 1 day

4. Units of Mass

Teach

Students choose

appropriate unit and tool,

estimate and measure in

grams and kilograms.

Students identify objects

(See above) (See above) 3.MD.2 6- Measurement 1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013 with a mass of about one

gram or one kilogram.

5. Problem

Solving: Make a

Table and Look

for a Pattern

Teach

Students make a table and

look for a pattern in order

to solve a problem.

(See above) (See above) 3.MD.2 6- Measurement 1 day

Unit 16: Perimeter, Area and Volume

Total time (including summative assessment): 10 days

Performance Assessment: SWBAT design a rug based on criteria given, using their knowledge of area and perimeter.

Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

1. Understanding

Perimeter

Teach

Students will use standard

units to find the perimeter

of a shape.

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.MD.8

4- Measurement 1 day

2. Perimeter of

Common Shapes

Teach

Students will use standard

units to find the perimeter

of a shape.

(See above) (See above) 3.MD.8

4- Measurement 1 day

3. Different

Shapes with the

Same Perimeter

Teach

Students will match

shapes to a given

perimeter and learn that

different shapes can have

the same perimeter.

(See above) (See above) 3.MD.8 4- Measurement 1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013 4. Problem

Solving: Try,

Check, Revise

Teach

Students will solve a

problem through the

process of try, check and

revise.

(See above) (See above) 3.NBT.2 4- Measurement 1 day

5. Understanding

Area

Check

Students will use concrete

and pictorial models of

square units to determine

the area of two-

dimensional surfaces.

(See above) (See above) 3.MD.5

Recognize area as an attribute

of plane figures and

understand concepts of area

measurement.

3.MD.5.a

A square with side length 1

unit, called “a square unit,” of

area, and can be used to

measure area.

3.MD.5.b

A plane figure, which can be

covered without gaps or

overlaps by n unit squares is

said to have an area of n

square units.

3.MD.6

Measure areas by counting

unit squares.

3.MD.7

Relate area to the operations

of multiplication and addition.

3.MD.8

4- Measurement 1 day

6. Estimating and

Measuring

Area

Check

Students will estimate and

find the area of irregular

shapes drawn on a grid or

with square units shown.

(See above) (See above) 3.MD.6

3.MD.7

4- Measurement 1 day

7. Volume

Check

Students will find the

volume of solid figures

constructed of cubes.

(See above) (See above) Previews 5.MD.3

4- Measurement 1 day

8. Problem

Solving: Solve a

Students will solve

complex problems asking

(See above) (See above) 3.MD.7

4- Measurement 1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013 Simpler Problem

Teach

for the area of irregular

shapes.

3.MD.7.b

3.MD.7.d

Recognize area as additive.

Find areas of rectilinear

figures by decomposing them

into non-overlapping

rectangles and adding the

areas of the non-overlapping

parts, applying this technique

to solve real world problems.

Unit 17: Time and Temperature

Total time (including summative assessment): 8 days

Performance Assessment: SWBAT use their knowledge of time and temperature to apply to scenarios of elapsed time, and temperature.

Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

1. Time to the

Half Hour and

Quarter Hour

Teach

Students will tell time to

the nearest half hour and

quarter hour using analog

and digital clocks, and

identify times as A.M. or

P.M.

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.MD.1

Tell and write time to the

nearest minute and measure

time intervals in minutes.

Solve word problems

involving addition and

subtraction of time intervals in

minutes.

4- Measurement 1 day

2. Time to the

Minute

Teach

Students will tell time to

the nearest minute using

analog and digital clocks.

(See above) (See above) 3.MD.1

4- Measurement 1 day

3. Units of Time

Teach

Students will perform

simple conversions for

units of time.

(See above) (See above) 3.MD.1 4- Measurement 1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013

4. Elapsed Time

Teach

Students will find elapsed

time in intervals of

minutes.

(See above) (See above) 3.MD.1

4- Measurement 1 day

5. Temperature

Teach

Students will read

temperatures on Fahrenheit

and Celsius thermometers,

and determine appropriate

temperatures for given

activities.

(See above) (See above) 3.MD.1 4- Measurement 1 day

6. Problem

Solving: Work

Backward

Teach

Students will use the

strategy work backward to

solve problems.

(See above) (See above) 3.MD.1 4- Measurement 1 day

Unit 19: Dividing with 1-Digit Numbers

Total time (including summative assessment): 8 days

Performance Assessment: SWBAT analyze data in a chart and use division to solve problems about a making jewelry.

Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

1. Mental Math

Teach

Students will use

known multiplication

patterns to divide

multiples of 10,100

and 1,000 by a 1-digit

number.

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.OA.6

Understand division as an

unknown factor problem.

3- Fluency in

Multiplication and

Division

1 day

2. Estimating Students will use (See above) (See above) Prepares for 3.OA.7 3- Fluency in 1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013 Quotients

Check

compatible numbers to

estimate quotients.

Multiplication and

Division

3. Connecting

Models and

Symbols

Teach

Students will use

place-value blocks and

an algorithm to divide

2-digit numbers by 1-

digit numbers.

(See above) (See above) 3.OA.2 3- Fluency in

Multiplication and

Division

1 day

4. Dividing 2-Digit

Numbers

Teach

Students will divide 2-

digit numbers by 1-

digit numbers using

paper and pencil.

(See above) (See above) 3.OA.7 3- Fluency in

Multiplication and

Division

1 day

5. Dividing with

Remainders

Teach

Students will use

arrays and the division

algorithm to divide

numbers with a

remainder.

(See above) (See above) Prepares for 4.OA.3 3- Fluency in

Multiplication and

Division

1 day

6. Problem Solving:

Multiple-Step

Problems

Teach

Students will use

previously learned

skills to solve

multiple-step

problems.

(See above) (See above) 3.OA.8 3- Fluency in

Multiplication and

Division

1 day

Unit 20: Data, Graphs and Probability

Total time (including summative assessment): 11 days

Performance Assessment: SWBAT poll their classmates about a question and make a graph based on their results.

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013 Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

1. Organizing

Data

Teach

Students will use tally

charts to record and

organize survey data.

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

6- Measurement 1 day

2. Reading

Pictographs and

Bar Graphs

Master

Students will read and

interpret data from a

pictograph and a bar

graph.

(See above) (See above) 3.MD.3 6- Measurement 1 day

3. Making

Pictographs

Master

Students will make a

pictograph from a table or

tally chart.

(See above) (See above) 3.MD.3 6- Measurement 1 day

4. Making Bar

Graphs

Master

Students will make a bar

graph to represent the data

in a table or tally chart.

(See above) (See above) 3.MD.3 6- Measurement 1 day

5. Ordered Pairs

and Line Graphs

Check

Students will locate points

on a coordinate grid and

read and use line graphs.

(See above) (See above) 6- Measurement 1 day

6. How Likely?

Teach

Students will describe

events as likely, unlikely,

impossible, or certain.

Students will compare the

likelihood of events using

the terms for likely, less

likely, equally likely, and

least likely.

(See above) (See above) 6- Measurement 1 day

7. Outcomes and

Experiments

Students will predict the

results of a probability

experiment, conduct the

(See above) (See above) 6- Measurement 1 day

Kirsten Orlovsky

Grade 3 Mathematics

2012-2013 Teach experiment, and compare

the results to the

prediction.

8. Line Plots and

Probability

Teach

Students will use a line

plot to organize the results

of a probability

experiment and to predict

future events.

(See above) (See above) Extends 3.MD.4 6- Measurement 1 day

9. Problem

Solving: Use

Tables and

Graphs to Draw

Conclusions

Teach

Students will solve

problems by using tables

and graphs to draw

conclusions.

(See above) (See above) 3.MD.3 6- Measurement 1 day

***Units 11, 13, and 18 will be included if time permits in the school year. None of the standards are covered

in these chapters that have not already been learned in previous units.***