3rd Grade Common Core Curriculum

Timeline

Topic

Quarter 1 I.

Number Concepts

A. Place Value and Rounding Numbers

Objectives SWBAT To allow for refinement of curricular content and to guide the creation of quality aligned assessments, the Objectives column is intentionally incomplete. The District’s Curriculum Team should take ownership and customize this framework utilizing Webb’s Depth of Knowledge

PA CC Standards

PA Assessment Anchors/ Descriptor

2.1.3.B.1 Apply place value understanding and properties of operations to perform multidigit arithmetic.

ASSESSMENT ANCHOR M03.A-T.1 Use place value understanding and properties of operations to perform multi-digit arithmetic.

Cluster

Standard Cluster

Instructional Emphasis

Tier 2 & 3 Vocabulary

Internet Resources

Materials/Resources

Assessment

Formative Summative (Benchmark and/or Diagnostic if applicable) Intentionally vague to allow for professional development opportunities for school entities and Intermediate Unit

M03.D-M.1.3 Count, compare, and make change using a collection of coins and one-dollar bills.

(Level 1) Read and write numbers up to 10,000. (Level 1) Idenitfy even and odd numbers. (Level 4) apply concepts of place value to round twoand three-digit whole numbers to the nearest ten or hundred.

M03.A-T.1.1.1 Round two- and three-digit whole numbers to the nearest ten or hundred, respectively.

M03.A-T.1.1.4 Order a set of whole numbers from least to greatest or greatest to least (up through 9,999; limit sets to no more than four numbers).

2.2.3.A.4 Solve problems involving the four operations, and identify and explain patterns in arithmetic. 2.1.3.B.1 Apply place value understanding and properties of operations to perform multidigit arithmetic.

Addition

Domain

M03.D-M.1 Solve problems involving measurement and estimation of intervals of time, money, liquid volumes, masses, and lengths of objects. 2.4.3.A.3 Solve problems involving money using a combination of DESCRIPTOR M03.A-T.1.1 Apply place value strategies to coins and bills. solve problems.

B. Ordering Numbers (Level 2) Compare whole numbers to 10,000. (Level 2) Organize whole numbers from least to greatest and greatest to least up through 9,999.

II.

PA Eligible Content

Number and Use place value 1. Use place value understanding to round whole Operations in understanding numbers to the nearest Base Ten 3.NBT and properties of 10 or 100. operations to perform multidigit arithmetic.

Number and Use place value 1. Use place value understanding to round whole Operations in understanding numbers to the nearest Base Ten 3.NBT and properties of 10 or 100. operations to perform multidigit arithmetic.

ASSESSMENT ANCHOR M03.A-T.1 Use place value understanding and properties of operations to perform multi-digit arithmetic.

(1) developing understanding of multiplication and division and strategies for multiplication and division within 100 (2) developing understanding of fractions, especially unit fractions (fractions with numerator 1)

Digit, Place-Value, expanded form, standard form, word form, rounding, even, odd

Place Value Games Place Value Blocks Place Value Mats and Charts

Q&A tests, quizzes, poster project illustrating different forms of numbers, jigsaw activities, place-value chart

www.superteacherworksheets. com

http://www.internet4classrooms.c Q&A tests, quizzes, poster om/skill_builders/place_value_mat project illustrating different h_third_3rd_grade.htm forms of numbers, jigsaw

compare, number line, greater than, less than, equal to, order

activities place-value chart

(3) developing understanding of the structure of rectangular arrays and of area (4) describing and analyzing twodimensional shapes

M03.B-O.3 Solve problems involving the four operations, and identify and explain patterns in arithmetic. M03.D-M.1 Solve problems involving measurement and estimation of intervals of time, money, liquid volumes, masses, and lengths of objects. DESCRIPTOR M03.A-T.1.1 Apply place value strategies to solve problems. M03.B-O.3.1 Use operations, patterns, and estimation strategies to solve problems (may include word problems). M03.D-M.1.3 Count, compare, and make change using a collection of coins and one-dollar bills.

A. Adding, and Adding of Numbers

1. Estimation

(Level 1) Identify addition . properties to find sums. (associative, commutative, and identity). (Level 3) Construct addition sentences using a variable to solve a twostep word problem. (Level 4) Apply concepts of addition properties to find sums.

(Level 2) Estimate sums by round two- and threedigit numbers to the nearest ten and hundred.

M03.A-T.1.1.2 Add two- and three-digit whole numbers Operations and (limit sums from 100 through 1,000), and/or subtract two- Algebraic and three-digit numbers from three-digit whole numbers. Thinking 3.OA M03.B-O.3.1.1 Solve two-step word problems using the four operations (expressions are not explicitly stated). Limit to problems with whole numbers and having wholenumber answers.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

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.

Sum, addend, commutative property, associative property, identity property Regroup

Two Step Problem Solving

Number Line

Estimate Sum Front-end estimation Overestimate Underestimate

Estimation Practice Number Pocket Chart

Addend Sum

Math Baseball

Q&A,discussion, tests, quizzes, tests

M03.B-O.3.1.2 Represent two-step word problems using equations with a symbol standing for the unknown quantity. Limit to problems with whole numbers and having whole-number answers.

.

M03.A-T.1.1.2 Add two- and three-digit whole numbers Operations and (limit sums from 100 through 1,000), and/or subtract two- Algebraic and three-digit numbers from three-digit whole numbers. Thinking 3.OA M03.B-O.3.1.1 Solve two-step word problems using the four operations (expressions are not explicitly stated). Limit to problems with whole numbers and having whole-number answers.

Solve problems 8. (See II.A.) involving the four operations, and identify and explain patterns in arithmetic.

Q&A tests, quizzes, jigsaw activities, math journal,

http://www.ixl.com/math/grade3/estimate-sums

M03.B-O.3.1.3 Assess the reasonableness of answers. Limit problems posed with whole numbers and having whole-number answers

B. Addition up to the 1000's Place

III.

Subtraction

(Level 1) Tabulate sums of two- and three- digit whole numbers up to 1,000. (Level 3) Construct addition sentences to solve word problems. (Level 4) Create a twostep word problem and apply addition concepts to solve problem.

.

M03.A-T.1.1.2 Add two- and three-digit whole numbers (limit sums from 100 through 1,000), and/or subtract two- and three-digit numbers from three-digit whole numbers. M03.B-O.3.1.1 Solve two-step word problems using the four operations (expressions are not explicitly stated). Limit to problems with whole numbers and having whole-number answers.

2.1.3.B.1 Apply place value understanding and properties of operations to perform multidigit arithmetic. 2.2.3.A.4

ASSESSMENT ANCHOR M03.A-T.1 Use place value understanding and properties of operations to perform multi-digit arithmetic. DESCRIPTOR M03.B-O.3.1 Use operations, patterns, and estimation strategies to solve problems (may include word problems).

Number and Use place value Operations in understanding Base Ten 3.NBT and properties of operations to perform multidigit arithmetic.

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.

Flash Cards Addition Games (Quizmo) Number Line

Q&A tests, quizzes, jigsaw activities,

3rd Grade Common Core Curriculum

Timeline

Topic

Objectives

PA CC Standards

PA Assessment Anchors/ Descriptor

A. Computation (up to (Level 3) Construct 1000) and Word subtraction sentences Problems using a variable to solve a two-step word problem. (Level 4) Apply concepts of subtraction to solve twostep word problems.

PA Eligible Content

Domain

Cluster

Tier 2 & 3 Vocabulary

Internet Resources

Materials/Resources

Assessment

M03.A-T.1.1.2 Add two- and three-digit whole numbers (limit sums from 100 through 1,000), and/or subtract two- and three-digit numbers from three-digit whole numbers.

Operations and Algebraic Thinking 3.OA

Solve problems 8. (See II.A.) involving the four operations, and identify and explain patterns in arithmetic.

Standard Cluster

Instructional Emphasis

Difference Regroup

Grand Slam Math

Flash Cards

Study Island Benchmark/ Progress Monitoring

Solve problems 8. (See II.A.) involving the four operations, and identify and explain patterns in arithmetic.

Estimate Difference Overestimate Underestimate

Estimation

Difference

Subtraction Flash Cards

Number Pocket Chart Q&A tests, quizzes, jigsaw activities, caraseoul activities

M03.B-O.3.1.1 Solve two-step word problems using the four operations (expressions are not explicitly stated). Limit to problems with whole numbers and having whole-number answers. M03.B-O.3.1.2 Represent two-step word problems using equations with a symbol standing for the unknown quantity. Limit to problems with whole numbers and having whole-number answers.

1. Estimation

(Level 2) Estimate differences by round twoand three- digit numbers to the nearest ten and hundred.

.

M03.A-T.1.1.2 Add two- and three-digit whole numbers (limit sums from 100 through 1,000), and/or subtract two- and three-digit numbers from three-digit whole numbers.

Operations and Algebraic Thinking 3.OA

Number Pocket Chart

Study Island Benchmark/ Progress Monitoring Q&A tests, quizzes, jigsaw activities, caraseoul activities

M03.B-O.3.1.1 Solve two-step word problems using the four operations (expressions are not explicitly stated). Limit to problems with whole numbers and having whole-number answers. M03.B-O.3.1.3 Assess the reasonableness of answers. Limit problems posed with whole numbers and having whole-number answers. B. Subtraction up to the 1000's Place

(Level 1) Tabulate differences of two- and three- digit whole numbers up to 1,000. (Level 3) Construct subtraction sentences to solve word problems. (Level 4) Create a twostep word problem and apply subtraction concepts to solve problem.

.

M03.A-T.1.1.2 Add two- and three-digit whole numbers Number and Use place value (limit sums from 100 through 1,000), and/or subtract two- Operations in understanding and three-digit numbers from three-digit whole numbers. Base Ten 3.NBT and properties of operations to perform multiM03.B-O.3.1.1 Solve two-step word problems using the digit arithmetic. four operations (expressions are not explicitly stated). Limit to problems with whole numbers and having wholenumber answers.

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.

Flash Cards Subtraction Games (Quizmo) Number Line

Study Island Benchmark/ Progress Monitoring Q&A tests, quizzes, jigsaw activities, caraseoul activities

Number Pocket Chart

M03.B-O.3.1.2 Represent two-step word problems using equations with a symbol standing for the unknown quantity. Limit to problems with whole numbers and having whole-number answers. M03.B-O.3.1.4 Solve two-step equations using order of operations (equation is explicitly stated with no grouping symbols). M03.B-O.3.1.5 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and/or explain them using properties of operations. Example 1: Observe that 4 times a number is always even. Example 2: Explain why 6 times a number can be decomposed into three equal addends.

Quarter 2 IV.

Multiplication

A. Multiplication Concepts

To allow for refinement of curricular content and to guide the creation of quality aligned assessments, the Objectives column is intentionally incomplete. The District’s Curriculum Team should take ownership and customize this framework utilizing Webb’s Depth of Knowledge

(Level 1) Recognize multiplication of whole numbers as the total number of objects in equal groups. (Level 2) Construct multiplication sentences for given situatons using x symbol for sets of equal groups and arrays.

2.2.3.A.1 Represent and solve problems involving multiplication and division. 2.2.3.A.2 Understand properties of multiplication and the relationship between multiplication and division. 2.2.3.A.3 Demonstrate multiplication and division fluency. 2.1.3.B.1 Apply place value understanding and properties of operations to perform multidigit arithmetic. 2.2.3.A.4 Solve problems involving the four operations, and identify and explain patterns in arithmetic

ASSESSMENT ANCHOR M03.B-O.1 Represent and solve problems involving multiplication and division. M03.B-O.2 Understand properties of multiplication and the relationship between multiplication and division. M03.A-T.1 Use place value understanding and properties of operations to perform multi-digit arithmetic. M03.B-O.3 Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Interactive Numbers Chart

Formative Summative (Benchmark and/or Diagnostic if applicable) Intentionally vague to allow for professional development opportunities for school entities and Intermediate Unit

DESCRIPTOR M03.B-O.1.1 Understand various meanings of multiplication and division. M03.B-O.2.2 Relate division to a missing number multiplication equation. M03.B-O.1.2 Solve mathematical and real-world problems using multiplication and division, including determining the missing number in a multiplication and/or division equation. M03.B-O.2.1 Use properties to simplify and solve multiplication problems. M03.B-O.3.1 Use operations, patterns, and estimation strategies to solve problems (may include word problems). M03.A-T.1.1 Apply place value strategies to solve problems. M03.B-O.1.1.1 Interpret and/or describe products of Operations and whole numbers (up to and including 10 × 10). Example Algebraic 1: Interpret 35 as the total number of objects in 5 groups, Thinking 3.OA each containing 7 objects. Example 2: Describe a context in which a total number of objects can be expressed as 5 × 7. M03.B-O.1.2.1 Use multiplication (up to and including 10 × 10) and/or division (limit dividends through 50, and limit divisors and quotients through 10) to solve word problems in situations involving equal groups, arrays, and/or measurement quantities. M03.B-O.3.1.4 Solve two-step equations using order of operations (equation is explicitly stated with no grouping symbols). M03.B-O.3.1.5 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and/or explain them using properties of operations. Example 1: Observe that 4 times a number is always even. Example 2: Explain why 6 times a number can be decomposed into three equal addends.

Represent and solve problems involving multiplication and division.

1. Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.

Factor Multiple Product

Teaching Multiplication

Egg Cartons with Ones Blocks

Study Island Benchmark/ Progress Monitoring

Flash Cards

Q&A tests, quizzes, jigsaw activities, caraseoul activities drill and practice; teacher observation; illustrate multiplication problem;

3rd Grade Common Core Curriculum

Timeline

Topic

Objectives

B. Properties of Multiplication

(Level 4) Apply concepts of the commutative property of multiplication. (Level 4) Apply concepts of the associative property of multiplication.

C. Computation

PA CC Standards

PA Assessment Anchors/ Descriptor

PA Eligible Content

Domain

Cluster

Standard Cluster

Tier 2 & 3 Vocabulary

Internet Resources

Materials/Resources

Assessment

M03.B-O.2.1.1 Apply the commutative property of multiplication (not identification or definition of the property).

Operations and Algebraic Thinking 3.OA

Understand properties of multiplication and the relationship between multiplication and division.

5. Apply properties of operations as strategies to multiply and divide.2 Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3× 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)

Communitive Property

Properties of Multiplication

Ones Blocks

Study Island Benchmark/ Progress Monitoring

7. Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two onedigit numbers.

Factor Multiple Product Expression

4. Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8× ? = 48, 5 = 􀃍􀃍􀃍÷ 3, 6 × 6 = ?.

Variable Factor

M03.B-O.2.1.2 Apply the associative property of multiplication (not identification or definition of the property).

(Level 2) Show the product of a two-digit number multiplied by a one-digit number. (Level 2) Interpret the product of whole numbers as the total number of objects in equal groups (arrays).

M03.A-T.1 Use place value understanding and properties of operations to perform multi-digit arithmetic.

M03.A-T.1.1.3 Multiply one-digit whole numbers by twodigit multiples of 10 (from 10 through 90).

Operations and Algebraic Thinking 3.OA

Multiply and Divide within 100.

M03.B-O.1.1.1 Interpret and/or describe products of whole numbers (up to and including 10 × 10). Example 1: Interpret 35 as the total number of objects in 5 groups, each containing 7 objects. Example 2: Describe a context in which a total number of objects can be expressed as 5 × 7.

1. Variables

M03.B-O.2.2.1 Interpret and/or model division as a multiplication equation with an unknown factor. Example: Find 32 ÷ 8 by solving 8 × ? = 32.

Operations and Algebraic Thinking 3.OA

M03.B-O.3.1.6 Create or match a story to a given combination of symbols (+, –, ×, ÷, , =) and numbers.

Represent and solve problems involving multiplication and division.

Instructional Emphasis

Associative Property

Q&A tests, quizzes, jigsaw activities, caraseoul activities

Distributive Property

drill and practice; teacher observation; multiplication problem;

Identity Property

Printable Flash Cards

Flash Cards

Q&A tests, quizzes, jigsaw activities, caraseoul activities drill and practice; teacher observation; illustrate multiplication problem; Variables in Third Grade

Flash Cards

(Level 2) Show the product of a two-digit number multiplied by a one-digit number.

M03.A-T.1.1.3 Multiply one-digit whole numbers by twodigit multiples of 10 (from 10 through 90).

Study Island Benchmark/ Progress Monitoring Q&A tests, quizzes, jigsaw activities, caraseoul activities drill and practice; teacher observation;illustrate multiplication problem;

M03.B-O.3.1.7 Identify the missing symbol (+, –, ×, ÷, , =) that makes a number sentence true. 2. Patterns in Multiplication

Study Island Benchmark/ Progress Monitoring

Operations and Algebraic Thinking 3.OA

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

9. Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.

Addend Variable Factor

Patterns in Multiplication

Multiplication Chart

Study Island Benchmark/ Progress Monitoring Q&A tests, quizzes, jigsaw activities, caraseoul activities drill and practice; teacher observation; illustrate multiplication problem

3. Multiples

D. Word Problems

(Level 2) Show the product of a two-digit number multiplied by a one-digit number.

M03.A-T.1.1.3 Multiply one-digit whole numbers by twodigit multiples of 10 (from 10 through 90).

(Level 3) Construct multiplication sentences to solve two-step equations and/or word problems.

M03.A-T.1.1.3 Multiply one-digit whole numbers by twodigit multiples of 10 (from 10 through 90).

Number and Use place value Operations in understanding Base Ten 3.NBT and properties of operations to perform multidigit arithmetic.

3. Multiply one-digit whole numbers by multiples of 10 in the range 10–90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations.

Multiples Factor

Operations and Algebraic Thinking 3.OA

3. Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.1

Array

M03.B-O.1.2.1 Use multiplication (up to and including 10 × 10) and/or division (limit dividends through 50, and limit divisors and quotients through 10) to solve word problems in situations involving equal groups, arrays, and/or measurement quantities.

Represent and solve problems involving multiplication and division.

EggStatic Drop Game

Numbers Chart

Study Island Benchmark/ Progress Monitoring Q&A tests, quizzes, jigsaw activities, caraseoul activities

Multiplication Word Problems

Numbers Chart

drill and practice; multiplication problem; Study Island Benchmark/ Progress Monitoring Q&A tests, quizzes, jigsaw activities, caraseoul activities drill and practice; illustrate multiplication problem;

M03.B-O.1.2.2 Determine the unknown whole number in a multiplication (up to and including 10 × 10) or division (limit dividends through 50, and limit divisors and quotients through 10) equation relating three whole numbers. Example: Determine the unknown number that makes an equation true.

V.

2.2.3.A.2 Understand properties of multiplication and the relationship between multiplication and division 2.1.3.B.1 Apply place value understanding and properties of operations to perform multidigit arithmetic. 2.2.3.A.1 Represent and solve problems involving multiplication and division 2.2.3.A.3 2.2.3.A.4 Solve problems involving the four operations, and identify and explain patterns in arithmetic

Division

A. Division Concepts

(Level 1) Recall multiplication facts to show a relationship to division (Level 2) Show division as sharing equally

ASSESSMENT ANCHOR M03.B-O.1 Represent and solve problems involving multiplication and division. M03.B-O.2 Understand properties of multiplication and the relationship between multiplication and division. DESCRIPTOR M03.B-O.1.1 Understand various meanings of multiplication and division. M03.B-O.1.2 Solve mathematical and real-world problems using multiplication and division, including determining the missing number in a multiplication and/or division equation.

M03.B-O.1.2.1 Use multiplication (up to and including 10 × 10) and/or division (limit dividends through 50, and limit divisors and quotients through 10) to solve word problems in situations involving equal groups, arrays, and/or measurement quantities. M03.B-O.1.1.2 Interpret and/or describe whole-number quotients of whole numbers (limit dividends through 50, and limit divisors and quotients through 10). Example 1: Interpret 48 ÷ 8 as the number of objects in each share when 48 objects are partitioned equally into 8 shares, or as a number of shares when 48 objects are partitioned into equal shares of 8 objects each. Example 2: Describe a context in which a number of shares or a number of groups can be expressed as 48 ÷ 8.

Operations and Algebraic Thinking 3.OA

Represent and solve problems involving multiplication and division.

2. Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 ÷ 8.

Dividend Divisor Quotient Fact Family Division

Making Equal Groups

Egg Cartons with Ones Blocks

Study Island Benchmark/ Progress Monitoring

Flash Cards

Q&A tests, quizzes, jigsaw activities, caraseoul activities drill and practice; quizzes illustrate division problem

3rd Grade Common Core Curriculum

Timeline

Topic

Objectives

PA Eligible Content

Domain

Cluster

Standard Cluster

B. Inverse of Multiplication

(Level 2) Interpret and/or model division as a multiplication equation with an unknown factor (Level 2) Relate multiplication to division to determine the quotient

M03.B-O.2.2.1 Interpret and/or model division as a multiplication equation with an unknown factor. Example: Find 32 ÷ 8 by solving 8 × ? = 32.

Operations and Algebraic Thinking 3.OA

Understand properties of multiplication and the relationship between multiplication and division.

6. Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.

(Level 2) Show an understanding for solving division problems

M03.B-O.1.2.1 Use multiplication (up to and including 10 × 10) and/or division (limit dividends through 50, and limit divisors and quotients through 10) to solve word problems in situations involving equal groups, arrays, and/or measurement quantities.

Multiply and Divide within 100.

7. (See IV.C.)

C. Computation

PA CC Standards

PA Assessment Anchors/ Descriptor

Operations and Algebraic Thinking 3.OA

Instructional Emphasis

Tier 2 & 3 Vocabulary

Internet Resources

Materials/Resources

Assessment

Fact Family

Inverse of Multiplication

Flash Cards

Study Island Benchmark/ Progress Monitoring

Egg Cartons with Ones Blocks Q&A tests, quizzes, jigsaw activities, caraseoul activities drill and practice; illustrate division problem; Dividend Divisor Quotient

Division Demolition

Flash Cards

Study Island Benchmark/ Progress Monitoring Q&A tests, quizzes, jigsaw activities, caraseoul activities drill and practice; illustrate division problem;

1. Variables

(Level 2) Interpret division as a multiplication equation to determine an unknown factor

M03.B-O.2.2.1 Interpret and/or model division as a multiplication equation with an unknown factor. Example: Find 32 ÷ 8 by solving 8 × ? = 32.

Operations and Algebraic Thinking 3.OA

(Level 1) Identify vocabulary to solve a word problem (Level 2) Construct an equation to solve a word problem

M03.B-O.1.1.2 Interpret and/or describe whole-number quotients of whole numbers (limit dividends through 50, and limit divisors and quotients through 10). Example 1: Interpret 48 ÷ 8 as the number of objects in each share when 48 objects are partitioned equally into 8 shares, or as a number of shares when 48 objects are partitioned into equal shares of 8 objects each. Example 2: Describe a context in which a number of shares or a number of groups can be expressed as 48 ÷ 8.

Operations and Algebraic Thinking 3.OA

Represent and solve problems involving multiplication and division.

4. (See IV.C.2.)

Represent and solve problems involving multiplication and division.

3. (See IV.D.)

Dividend Divisor Quotient

Division Using Variables

Flash Cards

Study Island Benchmark/ Progress Monitoring Q&A tests, quizzes, jigsaw activities, caraseoul activities drill and practice; illustrate division problem;

D. Word Problems

Divisor Quotient

Division Word Problems

More Division Word Problems

Study Island Benchmark/ Progress Monitoring Q&A tests, quizzes, jigsaw activities, caraseoul activities drill and practice; illustrate division problem;

M03.B-O.3.1.1 Solve two-step word problems using the four operations (expressions are not explicitly stated). Limit to problems with whole numbers and having wholenumber answers. Quarter 3 VI.

Fractions

A. Parts of a Whole

B. Fraction Representation

To allow for refinement of curricular content and to guide the creation of quality aligned assessments, the Objectives column is intentionally incomplete. The District’s Curriculum Team should take ownership and customize this framework utilizing Webb’s Depth of Knowledge

2.1.3.C.1 Explore and develop an understanding of fractions as numbers.

ASSESSMENT ANCHOR M03.A-F.1 Develop an understanding of fractions as numbers.

Formative Summative (Benchmark and/or Diagnostic if applicable)

DESCRIPTOR M03.A-F.1.1 Develop and apply number theory concepts to compare quantities and magnitudes of fractions and whole numbers.

Intentionally vague to allow for professional development opportunities for school entities and Intermediate Unit

(Level1) Identify regions that have been divided into equal-sized parts as fractions (Level 1) Recall key vocabulary words to identify parts of a fraction (i.e. numerator and denominator) (Level 1) Recognize whole numberbs as fractions

M03.A-F.1.1.1 Demonstrate that when a whole or set is partitioned into y equal parts, the fraction 1/y represents 1 part of the whole and/or the fraction x/y represents x equal parts of the whole (limit the denominators to 2, 3, 4, 6, and 8; limit numerators to whole numbers less than the denominator; no simplification necessary).

Number and Develop Operations—Frac understanding tions 3.NF of fractions as numbers.

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.

(Level 2) Show regions that have been divided into equal parts as fractions

M03.A-F.1.1.1 Demonstrate that when a whole or set is partitioned into y equal parts, the fraction 1/y represents 1 part of the whole and/or the fraction x/y represents x equal parts of the whole (limit the denominators to 2, 3, 4, 6, and 8; limit numerators to whole numbers less than the denominator; no simplification necessary).

Number and Develop Operations—Frac understanding tions 3.NF of fractions as numbers.

2. Understand a fraction as a number on the number line; represent fractions on a number line diagram.

M03.A-F.1.1.2 Represent fractions on a number line (limit the denominators to 2, 3, 4, 6, and 8; limit numerators to whole numbers less than the denominator; no simplification necessary).

Number and Develop Operations—Frac understanding tions 3.NF of fractions as numbers.

2. (See II.B.)

M03.A-F.1.1.3 Recognize and generate simple equivalent fractions (limit the denominators to 1, 2, 3, 4, 6, and 8; limit numerators to whole numbers less than the denominator). Example 1: 1/2 = 2/4 Example 2: 4/6 = 2/3

Number and Develop Operations—Frac understanding tions 3.NF of fractions as numbers.

3. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

Numerator Denominator Fraction

Parts of a Whole

Fraction Tiles/Sets

Study Island Benchmark/ Progress Monitoring Q&A tests, quizzes, jigsaw activities, caraseoul activities

M03.A-F.1.1.4 Express whole numbers as fractions, and/or generate fractions that are equivalent to whole numbers (limit the denominators to 1, 2, 3, 4, 6, and 8). Example 1: Express 3 in the form 3 = 3/1. Example 2: Recognize that 6/1 = 6.

Culminating Project: Draw, Write, and Illustrate fractions, then compare

Numerator Denominator Fraction

Fractions on a Number Line

Fraction Tiles/Sets Number Line with Fraction Cards

Study Island Benchmark/ Progress Monitoring Q&A tests, quizzes, jigsaw activities, caraseoul activities Culminating Project: Draw,

1. Fractions on a Number Line

C. Equivalent Fractions

(Level 2) Show fractions on a number line

(Level 1) Identify equivalent fractions

.

2a. 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. 2b. Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.

Numerator Denominator Fraction

Number Line Worksheets

Equivalent Numerator Denominator Fraction

Equivalent Fractions: Find the Partner

Blank Number Lines Fraction Tiles/Sets

Fraction Tiles/Sets

Culminating Project: Draw, Write, and Illustrate fractions, then compare

Study Island Benchmark/ Progress Monitoring Q&A tests, quizzes, jigsaw activities, caraseoul activities Culminating Project: Draw, Write, and Illustrate fractions, then compare

3rd Grade Common Core Curriculum

Timeline

Topic

Objectives

1. Understanding Equal Fractions

(Level 1) Identify equivalent fractions

PA CC Standards

PA Assessment Anchors/ Descriptor

PA Eligible Content

Domain

M03.A-F.1.1.3 Recognize and generate simple equivalent fractions (limit the denominators to 1, 2, 3, 4, 6, and 8; limit numerators to whole numbers less than the denominator). Example 1: 1/2 = 2/4 Example 2: 4/6 = 2/3

Number and Develop Operations—Frac understanding tions 3.NF of fractions as numbers.

Cluster

Standard Cluster 3. (See VI.C.) 3a. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

Instructional Emphasis

Tier 2 & 3 Vocabulary

Internet Resources

Materials/Resources

Assessment

Equivalent Numerator Denominator Fraction

Fraction Activities

Fraction Tiles/Sets

Study Island Benchmark/ Progress Monitoring

Fractions on a Number Line Q&A tests, quizzes, jigsaw activities, caraseoul activities Culminating Project: Draw, Write, and Illustrate fractions, then compare

2. Generating Simple (Level 2) Contruct Fractions equivalent fractions

M03.A-F.1.1.3 Recognize and generate simple equivalent fractions (limit the denominators to 1, 2, 3, 4, 6, and 8; limit numerators to whole numbers less than the denominator). Example 1: 1/2 = 2/4 Example 2: 4/6 = 2/3

Number and Develop Operations—Frac understanding tions 3.NF of fractions as numbers.

3. (See VI.C.) 3b. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.

Equivalent Numerator Denominator Fraction

Interactive Fraction Line

Fraction Tiles/Sets

Study Island Benchmark/ Progress Monitoring Q&A tests, quizzes, jigsaw activities, caraseoul activities Culminating Project: Draw, Write, and Illustrate fractions, then compare

3. Expressing Whole (Level 1) Recognize Numbers as Fractions whole numbers as fractions (Level 2) Show fractions that are equivalent to whole numbers

D. Comparing Fractions

VII.

(Level 3) Compare two fractions with the same denominator

B. Partitioning Shapes

M03.A-F.1.1.5 Compare two fractions with the same denominator (limit the denominators to 1, 2, 3, 4, 6, and 8), using the symbols >, =, or , =, or