•    Merrillville High School
    Course Scope & Sequence
     
     
    Department:
    Math Department
    Integrated Math 2A
    Instructor: D. Staffeld
     
    Email:
     
     
     
     
     
     
     
     

    Course Expectations, Goals & Routines

     
     
    Welcome to Integrated Math 2A!
     
     
     
     
     

    Materials

     
    You will need:
    • Your book
    • binder for handouts
    • spiral notebook just for math
    • pencil or pen (only blue or black)
    • scientific calculator
    • graph paper

    Grading

     
     
    I will use categories for grades:
    •  Tests 60 %  (bonus question on each test)
    • Quizzes 20%
    • Classwork 10%
    • Notebooks 10% 
       
       
       
       

                                          

       

       

      Homework 

      All homework must be done at www.bigideasmath.com. The problems match the ones in the book. If you cannot access this at home, I expect you to complete the problems using the book. You can enter your answers online at school.
      We are doing online homework to increase learning. You will immediately know if you have done a problem correctly. I expect you to retry if your answer is incorrect. We do homework to LEARN, not just to have a page of answers.
      Homework point will be given based on what you did correctly. (remember, you can retry the problems until they are correct). You need 80% or better to get a 10, 60%-79% to get a 6, 40%-59% to get a 2 and less than 40% will be unsubmitted and you will be expected to work on it. I will accept online homework until the day of the test, then it will be a permanent 0. Reviews will be graded on completion. You must show your work in your notebook..

      To do homework;

      Go to www.bigideasmath.com

      Use the blue box - Login with Clever

      Select Merrillville High School

      Use your Merrillville account:  ID#@student.mvsc.k12.in.us   and the password you created

        Tutoring

      I arrive at school about a half hour before school starts.  You can stop by if you have a quick question or two and I will try to answer them.  I use this time to get things ready for the school day.  If you want a tutoring session, I stay 2 nights a week after school.  The nights are posted in the classroom and can vary from week to week.  

       Bellringers

      We will start each day with a bellringer.  It will be 2 review problems from Integrated 1B.  A grade for the bellringers will be entered in the gradebook every 2 weeks.

      Notebooks

       
    •  Class notes and examples are to be written in a spiral notebook.  All homework problems should also be done next to the notes.  Each should be label with the section number (for example, notes 1.1   homework 1.1)  Notebooks will  be graded on the day of the test.
       

       

      Reviews

       

      Quiz reviews and test reviews are paper handouts.  Quiz reviews will be done in class and graded with the notebook grade on the day of the test.  Test reviews will be homework and will be a completion grade on the day they are due. (usually the day before the test).  They will be graded before we go through the answers together in class.
     
     
     

    Integrated 2 Curriculum with Mini-Tests and Daily Quizzes

    • Chapter 1 Part 2  (7 days)
      1. 4 Properties of Exponents
        1. use zero and negative exponents (ex 1)
        2. use product of powers, quotient of powers and power of a power properties (ex 2,3,4)
    • solve real-life problems (ex 5,6)
    1. 5 Radicals and Rational Expressions
      1. find the nth root of a number (ex 1, 2)
      2. evaluate expressions with rational exponents (ex 3)
    • solve real-life problems (ex 4,5)
    1. 6 Exponential Functions
      1. Graph exponential growth and decay functions (ex 1)
      2. write an exponential model (ex 2)
    • rewrite exponential functions (ex 4, 5)
    1. write a recursive rule for an exponential model (ex 3)
    1. Test
    • Chapter 2 Part 1  (6 days)
      1. 1 Adding and Subtracting Polynomials
        1. find the degree of a monomial (ex 1)
        2. write a polynomial in standard form (ex 2)
    • classify polynomials (ex 3)
    1. add and subtract polynomials (ex 4,5)
    1. 2 Multiplying Polynomials
      1. multiply binomials using distributive property (ex 1)
      2. multiply binomials using a table (ex 2) - students can use it if they know it, don’t take time teaching it
    • multiply binomials using FOIL (ex 3)
    1. Multiplying binomials and trinomials (ex 4, 5) - use vertical method
    1. 3 Special Products of Polynomials
      1. Using the Square of a Binomial Pattern (ex 1)
      2. Using the Sum and Difference Pattern (ex 2)
    • Using special product patterns and mental math (ex 3)

    iii)   Solving Real Life Problems (#33-34 in HW) - No Ex 5

    1. Test

     

    • Chapter 2 Part 2  (6 days)
      1. 4 Solving Polynomial Equations in Factored Form
        1. Use zero-product property to solve equations (ex 1, 5)
        2. Introduce repeated roots as multiplicity (Ex 2)
    • factoring using GCF (ex 3, 4)
    1. 5 Factoring x2 +bx+c
      1. factoring  (ex 1,2,3)
      2. Factor and solve real life problems (ex 4)
    2. 7 Factoring Special Products
      1. factor difference of 2 squares (ex 1)
      2. evaluating numerical expressions (ex 2)
    • factoring perfect square trinomials (ex 3)
    1. solving a polynomial equation (ex 4,5)
    1. Test
    • Chapter 2 Part 3  (5 days)
      1. 6 Factoring ax2+bx+c
        1. factoring out GCF (ex 1)
        2. factor by grouping (use worksheet for problems)
    • factoring using AC method (Ex 2,3,4)
    1. Factor and solve real life problems (Ex 5)
    1. 8 Factoring Polynomials Completely
      1. Factoring Polynomials by Grouping (ex 1)
      2. Factoring Polynomials Completely (ex 2,3)
    • Solving Real Life Problems (ex 5)
    1. Test
    • Chapter 3 Part 1 (6 days)
      1. 1 Graphing f(x)=ax2
        1. identify vertex, axis of symmetry,domain, range  (ex 1)
        2. graph using a table of values (ex 2,3)
    • identify a vertical shrink and a vertical stretch and compare to parent function (ex2,3)
    1. Solving a real life problem (ex 4)
    1. 2 Graphing f(x)=ax2+c
      1. identify vertex and axis of symmetry
      2. graph using a table of values (ex 1, 2)
    • identify the domain and range
    1. identify a vertical shrink and a vertical stretch and translation
    2. compare to the parent function and draw conclusions (ex 3)
    3. solve real life problems (ex 4)
    1. 3 Graphing f(x)=ax2+bx+c
      1. identify vertex, axis of symmetry and y-intercepts (ex 1)
      2. graph using a table of values (ex 2)
    • identify the domain and range; maximum and minimum values (ex 3, 4)
    1. model with mathematics (ex 5)
    2. compare to the parent function and draw conclusions
    1. Test

     

    • Chapter 3 Part 2 (6 days)           Start 2nd grading period
      1. 4 Graphing f(x)=a(x-h)2+k
        1. identify odd, even or neither functions (ex 1)
        2. identify the vertex and the axis of symmetry (ex 2)
    • graph using a table of values (ex 2, 3)
    1. graph a function as a translation of another function (ex 4)
    2. write a function in vertex form (ex 5)
    1. 5 Graphing f(x)=(x-p)(x-q)
      1. identify the vertex, x-intercepts, and the axis of symmetry (ex 1, 2)
      2. describe the domain and range (ex 1, 2)
    • graph using the vertex and the x-intercepts (ex 1, 2)
    1. find the zeros of the function (ex 3, 4)
    2. Graph a quadratic function using zeros (ex 5)
    3. Writing quadratic functions (ex 6)
    1. 7 Comparing Linear, Exponential, and Quadratic functions
      1. plot point and identify the type of function (ex 1)
      2. identify a function using differences and ratios (ex 2)
    • write a function to model data (ex 3)
    1. write a recursive rule (ex 4)compare functions using rates of change (ex 5)
    1. Test
    • Chapter 4 Part 1  (8 days)
      1. 1 Properties of Radicals
        1. Simplify radical by perfect squares (ex 1)
        2. Simplify radical denominators (ex 2)
    • Use properties of cube roots (ex 3)
    1. Rationalizing denominators (ex 4 part a) - No rationalizing cube roots in the denominator (ex 4 part b)
    2. Rationalize denominator using conjugates (ex 5)
    3. Solving a Real Life Problem (ex 6)
    • Modeling with Mathematics (ex 7)
    • Add and subtract radicals (ex 8)
    1. multiply radicals (ex 9)
    1. 3 Solving  Quadratic Equations Using Square Roots.
      1. Solve a quadratic using square roots (ex 1,2)
      2. Approximate (use a calculator and round) solutions of square roots (ex 3)
    • Solve a real-life problem (ex 4)
    1. Rearrange and evaluate a formula (ex 5)
    1. 4 Solving Quadratic Equations by Completing the Square
      1. Completing the square (ex 1)
      2. Solve a quadratic by completing the square (ex 2, 3)
    • Find maximum and minimum values (ex 4,5) - Use completing the square to put in vertex form
    1. Interpret forms of a quadratic equation (ex 6)
    2. Solve real-life problems (ex 7)
    1. 5 Solving Quadratic Equations Using the Quadratic formula
      1. Use the quadratic formula (ex 1)
      2. Model with mathematics (ex 2)
    • Determine the number of real solutions (ex 3)
    1. Find the number of x-intercepts of a parabola (ex 4)
    2. Choose a method to solve a quadratic (ex 5)
    1. Test
    • Chapter 4 Part 2  (6 days)
      1. 6 Complex Numbers
        1. Find square roots of negative numbers (ex 1)
        2. Equality of 2 complex numbers (ex 2)
    • Add and subtract complex numbers (ex 3)
    1. Solving a Real Life Problem (ex 4)
    2. Multiply complex numbers (ex 5)
    3. Multiply complex conjugates (ex 6)
    1. 7 Solving Quadratic Equations with Complex Solutions
      1. Solve quadratic equations with complex solutions (ex 1)
      2. Find zeros of a quadratic function (ex 2)
    • Write an equation of a quadratic (ex 3)
    1. Model a launched object (ex 4)
    1. 8 Solving Nonlinear Systems of Equations
      1. Solve a nonlinear system by graphing (ex 1)
      2. Solve a nonlinear system by substitution or elimination (ex 2,3)
    • Approximate solutions (ex 4, 5)
    1. Test
    • Chapter 1 Part 1  (5 days)
      1. 1 Absolute Value Functions
        1. graph the function using a table of values (ex 1, 3)
        2. describe the range and domain
    • describe a vertical and horizontal stretch, shrink, or reflect by comparing to the parent function (ex 2, 3) - including a reflection over the y-axis
    1. graph using transformations (ex 4)
    1. 2 Piecewise Functions
      1. evaluate the function from equations and graphs (ex 1)
      2. graph a piecewise function (ex 2)
    • write a piecewise function (ex 3)
    1. graph and write step functions (ex 4)

    write absolute value functions (ex 5)

    1. 3 Inverse of a Function
      1. find inverses of relations (ex 1)
      2. write the formula for the input of a function (ex 2)
    • graph a linear function and its inverse (ex 3)
    1. write a formula for the inverse algebraically (ex 3)
    1. Assessed with Daily Quizzes

       

     
     
     
     
     
    Week
    Standards
    Instructional Content
    Activities, Readings, Labs, Interactive Notes, Assignments, etc.
    Assessments
    Other
    (sections in test) 
    1
    MA.A1.L.10
    MA.A2.F.5
    MA.A2.PR.2
    MA.A2.F.3
    MA.A2.F.4 
    chapter 1
    Functions and Exponents 
     
    Interactive Notebook
    classroom worksheets 
     
    ch 1 quiz 1 1.1, 1.2, 1.3
     
    2
    MA.A2.EL.2 
     MA.A2.EL.3
    MA.A2.EL.7 
       MA.A1.RNE.5
    MA.A2.CNE.2
    MA.A1.RNE.3
    MA.A2.CNE.4 
    chapter 1
    Interactive Notebook
    classroom worksheets
    Vocabulary 
     
    ch 1, Quiz 2
     1.4, 1.5
    3
    MA.A1.RNE.7
    MA.A1.QE.4
    MA.A1.QE.5
    MA.A1.QE.6
    MA.A1.RNE.6 
    chaprter 1
     
    chapter 2 
     
    Interactive Notebook
    classroom worksheets 
    Vocabulary 
     
     
     
    Chapter 1 Test 
     
    1.6, 2.1,2.2
     
    4
    MA.A1.RNE.7
    MA.A1.QE.4
    MA.A1.QE.5
    MA.A1.QE.6
    MA.A1.RNE.6 
    chapter 2
    Interactive Notebook
    classroom worksheets 
     
    ch 2 Quiz 1
    2.3, 2.4, 2.5
     
    5
    MA.A1.RNE.7
    MA.A1.QE.4
    MA.A1.QE.5
    MA.A1.QE.6
    MA.A1.RNE.6 
    chapter 2
     
     
    Interactive Notebook
    classroom worksheet
    Vocabulary 
     
    Chapter 2 Test 1
    CH 2 quiz 2 
    2.6, 2.7, 2.8
     
    6
    MA.A1.F.2
    MA.A1.QE.3
    MA.A1.QE.6
    MA.A1.QE.7 
    chapter 2
     
    chapter 3 
    Interactive Notebook
    classroom worksheets
    Vocabulary 
     
    chapter 2 test 
     
    3.1, 3.2, 3.3
     
    7
    MA.A1.F.2
    MA.A1.QE.3
    MA.A1.QE.6
    MA.A1.QE.7
    chapter 3
     
    Interactive Notebook
    classroom worksheets 
     
    Chapter 3 Quiz 1
     
    3.4, 3.5
     
     
    8
    MA.A1.F.2
     MA.A1.QE.3
    MA.A1.QE.6
    MA.A1.QE.7 
    chapter 3
     
    Interactive Notebook
    classroom worksheets 
     
    ch 3 Quiz 2
    Chapter 3 Test 
     
    3.7
    9
    MA.A2.Q.1
    MA.A1.QE.3
    MA.A2.CNE.2
    MA.A1.QE.5
    MA.A1.QE.5
    MA.A1.QE.6
    MA.A1.QE.7
    MA.A2.RNE.2
    MA.A2.RNE.4 
    Chapter 4
     
    Interactive Notebook
    classroom worksheets
    Vocabulary 
     
    Chapter 4 Quiz 1
    4.1, 4.2, 4.3
    10
    MA.A1.L.11
    MA.A1.QE.4
    MA.A1.QE.5
    MA.A1.QE.6
    MA.A1.QE.7
    MA.A2.Q.1
    MA.A2.Q.2 
    Chapter 4
    Interactive Notebook
    classroom worksheets 
    Vocabulary 
     
    Chapter 4 Test 1
     
     
    4.4,4.5,4.6
    11
    MA.A2.CNE.1
    MA.A1.QE.5
    MA.A2.Q.1
    MA.A2.Q.2
    MA.A2.Q.3
    MA.A2.SE.1 
    chapter 4
    Interactive Notebook
    classroom worksheets 
    coordinate geometry activity
     
     
    ch 4 Quiz 2
     
    4.7,4.8,4.9
    12
     
     
     
     
    ch 4 Test 2 
     
     
     
    final exam review