Onsted High School Mathematics - Ms. Hoff

Weekly Objectives/Goals & Agenda

Week of May 30, 2016 - June 3, 2016

Exam Review

Week of May 23, 2016 - May 26, 2016

Students will be able to:​​​​

• simplify radicals using multiplication 

• simplify radicals that include integers and variables

• rewrite expressions involving radicals, use properties of exponents

• rationalize the denominator with the quotient property of square roots

• define conjugates and use to simplify fractions with addition or subtraction operations in the denominator

• add, subtract, and multiply/distribute radicals and apply methods to solve expressions with radicals in them
   

Monday: Simplifying Radicals with Variables

Tuesday: Simplifying Radicals with Variables

Wednesday: Simplifying Radicals (division)

Thursday: Simplifying Radicals (division)

Friday: Operations with Radical expressions

Week of May 16, 2016 - May 20, 2016

Students will be able to:​​​

• write, graph, and interpret exponential growth and decay functions

• interpret answers to growth and decay problems in the context of the problem

• differentiate between simple and compounded interests

•  determine which  formula to employ, growth, decay or compound interest

•  model and solve problems involving exponential data

•  create equations in one variable

•  find solutions using technology

• recognize situations in which a quantity grows or decays by a constant percent rate per unit interval

• demonstrate knowledge gained and understanding on an assessment

• simplify radicals using multiplication 
   

Monday: Compound Interest Practice (Quiz)

Tuesday: Exponential Test Review

Wednesday: Exponential Test

Thursday: Simplifying Radicals (multiplication part 1)

Friday: Practice Simplifying Radicals with Multiplication

Week of May 9, 2016 - May 13, 2016

Students will be able to:​​​

• determine the common ratio/growth factor for exponential functions/geometric sequences

• write a rule for a geometric sequence when given two terms and relate geometric sequences to exponential functions

• write geometric sequences using an explicit formula and use it to model situations, solve problems 

• create equations in two or more variables, use function notation

• evaluate functions for their input

• write an exponential function given a graph

• write and interpret exponential growth and decay

• interpret answers in the context of problem

Monday: Geometric Sequences Application Problems

Tuesday: Writing Exponential Equations from Graphs (possible Quiz Tues or Wed.)

Wednesday: Writing Exponential Equations from Graphs 

Thursday: Growth & Decay

Friday: Growth & Decay

Week of May 2, 2016 - May 6, 2016

Students will be able to:​​

• graph an exponential functions, identify y-intercept and asymptotes

• discuss what happens when the base of the exponential is changed and identify characteristics of the y values when x is increasing 

• determine from a data set if the data had exponential potential

• write a rule for a geometric sequence when given two terms and relate geometric sequences to exponential functions

• write geometric sequences both recursively and with and explicit formulas and use them to model situations, solve problems and translate between the two formulas

Monday: Graph Exponential Functions

Tuesday: Identify End Behavior for Exponentials

Wednesday: NWEA 

Thursday: Geometric Sequences

Friday: Geometric Sequences

Week of April 25, 2016 - April 29, 2016

Students will be able to:​

• solve a system of equations when one equation in linear and the other is quadratic

• solve the systems by graphing, using technology, and algebraically through substitution

• create equations in two or more variables 

• solve quadratic equations in one variable by quadratic formula and factoring when determining solutions to systems algebraically

• interpret solutions to non-linear systems

• review Chapter 8 concepts and assess learning and understanding

• explain successes and areas where they need work before taking an assessment
   

Monday: Solving Non-Linear Systems Graphically

Tuesday: Solving Non-Linear Systems Algebraically

Wednesday: Solving Non-Linear Systems Cont. or Begin Test Review

Thursday: Test Review

Friday: Test

Week of April 18, 2016 - April 22, 2016

Students will be able to:​

• solve quadratic equations by completing the square when a = 1 and when a does not equal 1.

• solve quadratic equations by x factoring

• discuss when to use completing the square vs x factoring

• transform a quadratic equations into an equivalent forms

• solve quadratic equations in one variable using the quadratic formula

• analyze the discriminant of the quadratic formula and explain how many solutions/zeros there should be for the equation

• solve a system of equations when one equation in linear and the other is quadratic

• solve the systems by graphing, using technology, and algebraically through substitution

Monday: Completing the Square and x-factoring practice

Tuesday: Review of graphing and factoring methods learned thus far

Wednesday: Quadratic Formula

Thursday: Quadratic Formula

Friday: Solving Non-Linear Systems

Week of April 11, 2016 - April 15, 2016

Students will be able to:​

• identify a quadratic functions and linear functions when a graph is given

• identify a quadratic equation vs a linear equation when only equations/functions are give

• review factoring and solving for x in a quadratic equation using the x-factor method

• apply the method of completing the square to transform a quadratic equation into an equivalent forms

• incorporate factoring and solving with square roots with the completing the square method to show zeros

• solve quadratic equations by completing the square when a = 1 and when a does not equal 1 (review and practice with GCF)

Monday: Introduction to Completing the Square

Tuesday: No Class Due to SAT Schedule

Wednesday: More completing the square practice

Thursday: (Quiz?) Completing the square with a leading coefficient not 1

Friday: Review and practice all completing the square concepts

Week of March 28, 2016 - April 1, 2016

Students will be able to:​

• identify a quadratic equation vs. a linear equation

• graph quadratics using the table method

• examine a parabola and discuss maximums, minimums, domain, and range as the relate to quadratic functions

• being to interpret key features of graphs such as the vertex and the zeros in order to graph using other methods

  • quadratic functions and show intercepts, maxima, and minima

• synthesize factoring methods with graphing methods

• apply factoring methods to show zeros/roots as they relate to the quadratic function

Monday: Graphing Quadrilaterals using Tables

Tuesday: Solving Quadrilaterals by Graphing

Wednesday: Solving Quadrilaterals by Graphing

Thursday: Graphing a Quadratic Through Factoring

Friday: Graphing a Quadratic Through Factoring

Week of March 21, 2016 - March 25, 2016

Students will be able to:​

• review thinking process necessary for factoring polynomials

• work with a partner to determine which methods to use, why, and to compare solutions

• participate in classroom review of material and communicate questions about misconceptions

• demonstrate ability to apply and problem solve with factoring material on an assessment

Monday: Review all factoring methods learned in the unit/chapter

Tuesday: Review for Test

Wednesday: Test

Thursday: Finish up test

Friday: No School

Week of March 14, 2016 - March 18, 2016

Students will be able to:​

• interpret parts of an expression, such as terms, factors, and coefficients.

• determine if a trinomial has a GCF that needs to be reversed distributed before factoring fully using methods outlined below

• use the structure of an expression to identify ways to rewrite it

  • factor a trinomial using the x-factor method

  • factor a trinomial leading coefficient other than 1 using x-factor and tic-tac toe methods

• determine when to use just the x factor method versus the x factor tic tac toe method.

• problem solve to figure out which of all the factoring methods learned should be used on various problems

• begin solving quadratic equations (solve for x in a trinomial) using the zero property

• represent the factoring of special products like perfect square trinomials and the difference of two squares

• choose a method best suited to factor polynomials as well as factor polynomials with more than one variable. 

Monday: 7-4: Factoring trinomials with leading coefficient other than 1

Tuesday: 7-4: Cont. (-1 out front and GCF to factor out)

Wednesday: Factoring Practice/Factoring Bingo

Thursday: Factoring Quiz (1/2 day)

Friday: Factoring Special Cases (Differences of Squares)

Week of March 7, 2016 - March 11, 2016

Students will be able to:

• interpret parts of an expression, such as terms, factors, and coefficients

• find the GCF of monomials

• interpret complicated expressions by viewing one of more of their parts as a single entity

• use the structure of an expression to identify ways to rewrite it

  • factor polynomials by using distribution in reverse

  • factor polynomials by using the grouping method

  • factor a trinomial using the x-factor method

  • factor a trinomial leading coefficient other than 1 using x-factor and tic-tac toe methods

Monday: 7-2: Factoring using the distributive property

Tuesday: 7-2: Factoring by grouping

Wednesday: 7-3: Factoring trinomials (x-factor)

Thursday: 7-3: Factoring trinomials (x-factor)

Friday: 7-4: Factoring trinomials with leading coefficient other than 1

Week of February 29, 2016 - March 4, 2016

Students will be able to:

• participate in review of the chapter 6 material

• find products of multiplied binomials with more than one variable involved

• demonstrate knowledge of the chapter 6 material on an assessment

• interpret parts of an expression, such as terms, factors, and coefficients

• find the GCF of monomials

• interpret complicated expressions by viewing one of more of their parts as a single entity

• use the structure of an expression to identify ways to rewrite it

  • factor polynomials by using distribution in reverse

  • factor polynomials by using the grouping method

  • factor a trinomial using the x-factor method

Monday: Chapter 6 Review

Tuesday: Chapter 6 Test

Wednesday: 7-1: Factors and Greatest Common Factors

Thursday: 7-2: Factoring using the distributive property

Friday: 7-3: Factoring Trinomials  (x-factor)

Week of February 22, 2016 - February 26, 2016

Students will be able to:

• use the structure of an expression to identify ways to rewrite it

• multiply polynomials using the FOIL methods and distribution

• represent squared binomials and 2 binomials multiplied by each other

• find products of multiplied binomials with more than one variable involved

• demonstrate knowledge of the chapter 6 material on an assessment

• interpret parts of an expression, such as terms, factors, and coefficients

• find the GCF of monomials

• interpret complicated expressions by viewing one of more of their parts as a single entity

Monday: Multiplying Polynomials: Special Products

Tuesday: Polynomial Activity

Wednesday: Chapter 6 Test Review

Thursday: Chapter 6 Test

Friday: 7-1: Factors and Greatest Common Factors

Week of February 15, 2016 - February 19, 2016

Students will be able to:

• state whether an expression is a polynomial and specifically a monomial, a binomial, or a trinomial 

• determine the degree of each monomial in a polynomial and use those degrees to determine the degree of a polynomial

• arrange the terms of a polynomial in ascending and descending order

• add two polynomials together, combine like terms

• subtract two polynomials, combine like terms

• apply both the horizontal and vertical methods for adding and subtracting polynomials and use whichever makes most sense to him or her

Monday: No School

Tuesday: Intro. to Polynomials

Wednesday: Adding and Subtracting Polynomials

Thursday: Adding and Subtracting Polynomials

Friday: Quiz

Week of February 8, 2016 - February 12, 2016

Students will be able to:

• practice applying properties of integer exponents

• explore the product of powers, power of a power, and power of a product rule

• simplify algebraic expressions using multiplication and exponents

  • Use the product rule to multiply exponential expressions with like bases

  • Use the power rule to raise powers to powers

• simplify algebraic expressions using division and exponents

  • apply the quotient rule to divide exponential expressions with like bases

  • use quotient of powers, power of a quotient

• practice working with zero exponents and negative exponents

• Simplify expressions using a combination of the properties.

Monday: Multiplying Monomials

Tuesday: Multiplying Monomials

Wednesday: Dividing Monomials

Thursday: Dividing Monomials

Friday: No School

Week of February 1, 2016 - February 5, 2016

Students will be able to:

• graph a linear inequality in two variables.

• determine the solutions to the inequality in order to determine the half plane and boundary line for the graph

• graphing inequalities to finding solutions to a system of linear inequalities

•  Students will be able to find the intersection of half planes in order to report the multiple solutions to a system of linear inequalities

•  ask questions regarding the chapter 5 content in order to prepare for the assessment

• practice applying chapter 5 knowledge during a review session

• demonstrate understanding of and apply the chapter 5 material to assessment questions

Monday: Graphing Inequalities

Tuesday: Solving systems of inequalities

Wednesday: Solving systems of inequalities/Review Subst. and Elimination

Thursday: Chapter 5 Review

Friday: Chapter 5 Test

Week of January 25, 2016 - January 29, 2016

Students will be able to:

• solve a system of linear equations and find exact solutions using the elimination method

• add and subtract systems to eliminate a variable

• multiply an equation in order to set up elimination

• review graphing and substitution methods for elimination

• discuss which would be their method of choice and discuss when it may be appropriate to use each method

Monday: Solving Systems of Equations by Elimination

Tuesday: Solving Systems of Equations by Elimination 

Wednesday: Solving Systems of Equations by Elimination

Thursday: Solving Systems review of all methods

Friday: Systems Activity

Week of January 18, 2016 - January 22, 2016

Students will be able to:

• practivce solving multi-step equations and finding solutions for x

• review and practice graphing lines when given standard or slope intercept form

• approximate the solution of a system of linear equations by graphing and locating the intersection point

• practice isolating a variable in order to get an equation in y=mx+b form

• find the exact solution of a system of equations

• solve an equation for one variable and then substitute the resulting expression for that variable into another equation (solving a system using substitution)

Monday: No School - MLK Day

Tuesday: Introduction to Class and Review Solving Multi-Step Equations

Wednesday: Graphing Lines

Thursday: Graphing Systems/Substitution

Friday: Substitution