polynomials unit plan

Polynomials Unit Plan 2010 Polynomials Unit Plan 2010 Polynomials Unit Plan 2010 Polynomials Unit Plan 2010 Polynomials Unit Plan 2010 Polynomials Unit Plan 2010 Polynomials Unit Plan 2010 Polynomials Unit Plan 2010 Polynomials Unit Plan 2010 Polynomials Unit Plan 2010 Polynomials Unit Plan 2010 Polynomials Unit Plan 2010

Standards: Taken from CA Algebra standards

10.0 Students add, subtract, multiply, and divide monomials and polynomials. 10.0 Students add, subtract, multiply, and divide monomials and polynomials. 10.0 Students add, subtract, multiply, and divide monomials and polynomials. 10.0 Students add, subtract, multiply, and divide monomials and polynomials. 10.0 Students add, subtract, multiply, and divide monomials and polynomials. 10.0 Students add, subtract, multiply, and divide monomials and polynomials. 10.0 Students add, subtract, multiply, and divide monomials and polynomials. 10.0 Students add, subtract, multiply, and divide monomials and polynomials. 10.0 Students add, subtract, multiply, and divide monomials and polynomials. Standards: Standards:

Students solve multistep problems, including word problems, by using these techniques.

11.0 Students apply basic factoring techniques to second- and simple third-degree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials. Students solve multistep problems, including word problems, by using these techniques.








11.0 Students apply basic factoring techniques to second- and simple third-degree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials. Taken from CA Algebra standards Taken from CA Algebra standards

Stage 1: Desired Results Stage 1: Desired Results Stage 1: Desired Results Stage 1: Desired

Results Stage 1: Desired Results Stage 1: Desired Results Stage 1: Desired Results Stage 1: Desired Results Stage 1: Desired Results Stage 1: Desired Results Stage 1: Desired Results

Stage 1: Desired Results Enduring Understandings: Enduring Understandings: Enduring Understandings:

Enduring Understandings: Enduring Understandings: Enduring Understandings: Essential Questions: Essential Questions: Essential Questions: Essential Questions: Essential Questions: Essential Questions:

Monomials, binomials and polynomials are algebraic expressions that showcase like and unlike terms Polynomials are written in their simplest form when there are no like terms Operations with polynomials follow the same rules as monomials and binomials such as the distributive property

· How are the properties of polynomials connected to the properties of real numbers? · How are the properties of polynomials connected to the properties of real numbers? · How are the properties of polynomials connected to the properties of real numbers? · How are the properties of polynomials connected to the properties of real numbers? · How are the properties of polynomials connected to the properties of real numbers? · How are the properties of polynomials connected to the properties of real numbers? Monomials, binomials and polynomials are algebraic expressions that showcase like and unlike terms Monomials, binomials and polynomials are algebraic expressions that showcase like and unlike terms Monomials, binomials and polynomials are algebraic expressions that showcase like and unlike terms Monomials, binomials and polynomials are algebraic expressions that showcase like and unlike terms Monomials, binomials and polynomials are algebraic expressions that showcase like and unlike terms

· Why are operations with polynomials similar to and different than operations with real numbers?

· How can you “undo” polynomial multiplication? How is this compared to division?











Polynomials are written in their simplest form when there are no like terms Operations with polynomials follow the same rules as monomials and binomials such as the distributive property Polynomials are written in their simplest form when there are no like terms Operations with polynomials follow the same rules as monomials and binomials such as the distributive property Polynomials are written in their simplest form when there are no like terms Operations with polynomials follow the same rules as monomials and binomials such as the

distributive property Polynomials are written in their simplest form when there are no like terms Operations with polynomials follow the same rules as monomials and binomials such as the distributive property Polynomials are written in their simplest form when there are no like terms Operations with polynomials follow the same rules as monomials and binomials such as the distributive property

Stage 2: Assessment Evidence Stage 2: Assessment Evidence Stage 2: Assessment Evidence Stage 2: Assessment Evidence Stage 2: Assessment Evidence Stage 2:

Assessment Evidence Stage 2: Assessment Evidence Stage 2: Assessment Evidence Stage 2: Assessment Evidence Stage 2: Assessment Evidence Stage 2: Assessment Evidence

Stage 2: Assessment Evidence Summative: Unit Test Criteria: Unit Test Criteria: Unit Test Criteria: Unit Test

Criteria: Unit Test Criteria: Unit Test Criteria: Unit Test Criteria: Unit Test Criteria: Unit Test Criteria: Summative: Unit Test Criteria:

· Apply the vertical, horizontal or distributive property method to add and subtract polynomials · Find and input the missing term in an addition or subtraction problem · Simplify a polynomial problem that includes fractions · Reduce an algebraic fraction by subtracting exponents · Divide a polynomial by a monomial/binomial · Factor the difference between two perfect squares · Pick out the difference between two squares · Factor by grouping · Factor a trinomial

QUIZ 1 · Apply the vertical, horizontal or distributive property method to add and subtract polynomials · Find and input the missing term in an addition or subtraction problem

QUIZ 2 · · Apply the vertical, horizontal or distributive property method to add and subtract polynomials · Find and input the missing term in an addition or subtraction problem · Simplify a polynomial problem that includes fractions · Reduce an algebraic fraction by subtracting exponents · Divide a polynomial by a monomial/binomial · Factor the difference between two perfect squares · Pick out the difference between two squares

· Factor by grouping · Factor a trinomial


QUIZ 2 · · Apply the vertical, horizontal or distributive property method to add and subtract polynomials · Find and input the missing term in an addition or subtraction problem · Simplify a polynomial problem that includes fractions · Reduce an algebraic fraction by subtracting exponents · Divide a polynomial by a monomial/binomial · Factor the difference between two perfect squares · Pick out the difference between two squares · Factor by grouping · Factor a trinomial




QUIZ 2 · · Apply the vertical, horizontal or distributive property method to add and subtract polynomials · Find and input the missing term in an addition or subtraction problem · Simplify a polynomial problem that includes fractions · Reduce an algebraic fraction by subtracting exponents

· Divide a polynomial by a monomial/binomial · Factor the difference between two perfect squares · Pick out the difference between two squares · Factor by grouping · Factor a trinomial






QUIZ 2 · · Apply the vertical, horizontal or distributive property method to add and subtract polynomials · Find and input the missing term in an addition or subtraction

problem · Simplify a polynomial problem that includes fractions · Reduce an algebraic fraction by subtracting exponents · Divide a polynomial by a monomial/binomial · Factor the difference between two perfect squares · Pick out the difference between two squares · Factor by grouping · Factor a trinomial






QUIZ 2 ·

Stage 3: Instruction Stage 3: Instruction Stage 3: Instruction Stage 3: Instruction Stage 3:Instruction Stage 3: Instruction Stage 3: Instruction Stage 3: Instruction Stage 3: Instruction

Stage 3: Instruction Stage 3: Instruction Stage 3: Instruction Objectives: Look back to your list of knowledge and skills, as well as your assessments…determine which topics should be taught before others (sequencing) and what objectives will lay the foundations for understanding these topics (scaffolding). Objectives: Look back to your list of knowledge and skills, as well as your assessments…determine which topics should be taught before others (sequencing) and what objectives will lay the foundations for understanding these topics (scaffolding). Objectives: Look back to your list of knowledge and skills, as well as your assessments…determine which topics should be taught before others (sequencing) and what objectives will lay the foundations for understanding these topics (scaffolding). Objectives: Look back to your list of knowledge and skills, as well as your assessments…determine which topics should be taught before others (sequencing) and what objectives will lay the foundations for understanding these topics (scaffolding). Objectives: Look back to your list of knowledge and skills, as well as your assessments…determine which topics should be taught before others (sequencing) and what objectives will lay the foundations for understanding these topics (scaffolding). Objectives: Look back to your list of knowledge and skills, as well as your assessments…determine which topics should be taught before others (sequencing) and what objectives will lay the foundations for understanding these topics (scaffolding). Objectives: Look back to your list of knowledge and skills, as well as your assessments…determine which topics should be taught before others (sequencing) and what objectives will lay the foundations for understanding these topics (scaffolding). Objectives: Look back to your list of knowledge and skills, as well as your assessments…determine which topics should be taught before others (sequencing) and what objectives will lay the foundations for understanding these topics (scaffolding). Objectives: Look back to your list of knowledge and skills, as well as your assessments…determine which topics should be taught before others (sequencing) and what objectives will lay the foundations for understanding these topics (scaffolding). Objectives: Look back to your list of knowledge and skills, as well as your assessments…determine which topics should be taught before others (sequencing) and what objectives will lay the foundations for understanding these topics (scaffolding). Objectives: Look back to your list of knowledge and skills, as well as your assessments…determine which topics should be taught before others (sequencing) and what objectives will lay the foundations for understanding these topics (scaffolding). Objectives: Look back to your list of knowledge and skills, as well as your assessments…determine which topics should be taught before others (sequencing) and what objectives will lay the foundations for understanding these topics (scaffolding).

Once you have determined your list of objectives, determine how long it may take to teach these objectives.What might you need to add or cut out?

Once you have determined your list of objectives, determine how long it may take to teach these objectives.

What might you need to add or cut out?
















Standard

Breakdown Knowledge and Skills Standard Standard

Breakdown Knowledge and Skills




(My) Daily Lesson Objective (My) Daily

Lesson Objective (My) Daily Lesson

Objective

Students add monomials and polynomials

Students add monomials and polynomials Students add monomials and polynomials Distinguish between a monomial, binomial

and polynomial Add monomials

Add polynomials using the vertical and horizontal method

Add using the distributive property

Distinguish between a

monomial, binomial and polynomial

Distinguish between a monomial, binomial and polynomial



Add monomialsAdd polynomials using the vertical

and horizontal method











Subtract monomials and polynomials

Subtract monomials and polynomials Subtract monomials and polynomials

Subtract polynomials using the vertical and horizontal method

Subtract using the distributive property

Subtract polynomials using the vertical and

horizontal method Subtract

polynomials using the vertical and





horizontal methodSubtract using the

distributive propertySubtract using the



distributive property Multiply monomials and

polynomials Multiply monomials and polynomials Multiply monomials and polynomials

Multiply by a binomial Multiply using the distributive property

Multiply using the grid method Multiply binomials using FOIL (first, outside,

inside, last) Multiply a binomial and trinomial

Multiply by a binomial Multiply by a binomial Multiply

by a binomial Multiply by a

binomial Multiply using the

distributive propertyMultiply using the

grid methodMultiply binomials using FOIL (first,

outside, inside, last)

Multiply a binomial and trinomial

Multiply using the

distributive propertyMultiply using the

grid methodMultiply binomials using FOIL (first,

outside, inside, last)Multiply a binomial

and trinomial

Multiply using the distributive property

Multiply using the grid method

Multiply binomials using FOIL (first,


and trinomial

Multiply using the distributive property

Multiply using the grid method

Multiply binomials using FOIL (first,


and trinomial

Divide monomials and polynomials

Divide monomials and polynomials Divide monomials and polynomials Divide a

polynomial by a monomial Divide a polynomial by a binomial

Divide a polynomial by a

monomial Divide a polynomial by a



monomial Divide a polynomial

by a binomial

Divide a polynomial by a binomial

Divide a polynomial

by a binomial

Divide a polynomial

by a binomial

Students solve multistep problems, including word problems, by using these techniques.

Apply multiplication to solving real world problems (geometry problems included) Students solve multistep problems, including word problems, by using these techniques. Students solve

multistep problems, including word problems, by using these techniques.

Apply multiplication to solving real world problems (geometry problems included) Apply multiplication to solving real world problems (geometry problems included) Apply multiplication to solving real world problems (geometry problems included) Apply multiplication to solving real world problems (geometry problems included)

Finding a common factor for all terms in a polynomial

Finding a common factor for all terms in a polynomial Finding a common factor for all

terms in a polynomial Identify greatest common factors in polynomials for all like

terms involved

Identify greatest common factors in polynomials for all like terms involved Identify greatest

common factors in polynomials for all like terms involved Identify greatest

common factors in polynomials for all like terms involved

Identify greatest common factors in polynomials for

all like terms involved

Recognizing the difference of two squares

Recognizing the difference of two squares Recognizing the difference of two squares

Recognize when a polynomial will be a difference of two squares

HINT: when the numerical coefficient is perfect square and the exponents of each

of the variables are even numbers. Factor the difference of two perfect squares

Recognize when a polynomial will be a difference of two squares Recognize when a polynomial will be a difference

of two squares Recognize when a

polynomial will be a difference of two

squares Recognize when a polynomial will be a difference

of two squaresHINT: when the

numerical coefficient is perfect square

and the exponents of each of the

variables are even numbers.

Factor the difference of two perfect

squares

HINT: when the numerical coefficient

is perfect square and the exponents

of each of the variables are even

numbers. Factor the difference

of two perfect squares

HINT: when the

numerical coefficient is perfect square

and the exponents of each of the

variables are even numbers.

Factor the difference of two perfect

squares

HINT: when the numerical coefficient

is perfect square and the exponents

of each of the variables are even

numbers. Factor the difference

of two perfect squares

Recognizing perfect

squares of binomials Recognizing perfect squares of binomials Recognizing perfect squares of binomials

Factor trinomials Factor trinomials Factor trinomials Learning Experiences & Activities: Learning Experiences & Activities: Learning Experiences &

Activities: Learning Experiences & Activities: Learning Experiences & Activities: Learning Experiences & Activities: Learning Experiences & Activities: Learning Experiences & Activities: Learning Experiences & Activities: Learning Experiences & Activities: Learning Experiences &

Activities: Learning Experiences & Activities: Hook Hook Hook Hook Hook

Explore & Experience & Equip Explore & Experience & Equip Explore & Experience & Equip Explore & Experience & Equip Explore & Experience & Equip

Reflect & Rehearse & Revise Reflect & Rehearse & Revise Reflect & Rehearse & ReviseReflect & Rehearse & Revise Reflect & Rehearse & Revise

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Tuesday Tuesday

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Thursday Thursday Friday

polynomials unit plan

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