• Merrillville High School
    Course Scope & Sequence
     
     
    Department:
     Math

    Integrated Math 2B

    Instructor: D. Staffeld
     
    Email:
     
     
     
     
     
     
     

    Course Expectations, Goals & Routines

    Welcome to Integrated Math 2B!

     

    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 %
    • Daily Quizzes 20 % 
    •  Notebooks  10%
    • Classwork  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 the answers online at school.

    We are doing online homework to increase learning.  You will immediately know if you have done the 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 points 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.  You are expected to continue working on it.  I will accept online honework until the day of the test, then it will be a permanent 0.  Homework 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 you 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.  I 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 start each day with a bellringer.  It will be 2 review problems from Integrated 2A.  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 labeled with the section number (for example, notes 6.2, homework 6.2)  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 completions grade on the day they are due.  (usually the day before the test))  They will be graded before we go through the answers in class.

    Scope and Sequence

    Chapter 6 Relationships Within Triangles (9 days)

      1. 6.2 Perpendicular and Angle Bisectors
        1. perpendicular bisector theorem (ex 1,2)
        2. converse of  perpendicular bisector theorem
        3. angle bisector theorem (ex 3,4)
        4. converse of angle bisector theorem
        5. writing equations for perpendicular bisectors (ex 5)
      2. 6.3 Bisectors of Triangles
        1. circumcenter theorem (ex 1)
        2. circumscribing a circle about a triangle (construction)
        3. finding the coordinates of the circumcenter (ex 2)
        4. incenter theorem (ex 3)
        5. inscribing a circle within a triangle (construction)
      3. 6.4 Medians and Altitudes of Triangles
        1. centroid theorem (ex 1)
        2. finding the centroid of a triangle (ex 2)
        3. orthocenter - finding the orthocenter (ex 3)
        4. proving a property of isosceles triangle (ex 4)
      4. Quiz (6.2, 6.3, 6.4)
      5. 6.5 The Triangle Midsegment Theorem
        1. Use midsegments in the coordinate plane (ex 1)
        2. Prove triangle midsegment theorem in the coordinate plane (ex 2)
        3. Use triangle midsegment theorem (ex 3,4,5)
      6. 6.6 Indirect Proof and Inequalities in One Triangle
        1. Writing an indirect proof (ex 1)
        2. Relating Sides and Angles of a Triangle (ex 2, 3, 4)
        3. Using the Triangle Inequality Theorem (ex 5)
      7. Test (6.2,6.3,6.4,6.5,6.6)

     

    1. Chapter 7 Quadrilaterals and Polygons (9 days)
      1. 7.1 Angles of Polygons
        1. Find the sum of the measures of the angles of a polygon (ex 1)
        2. Find the number of sides of a polygon (ex 2)
        3. Find an unknown interior angles measure ( ex 3)
        4. Find angle measures in polygons (ex 4)
        5. Find unknown exterior angle measures (ex 5)
        6. Find angle measures in regular polygons (ex 6)
      2. 7-2 Properties of Parallelograms
        1. Using Properties of Parallelograms (ex 1,2)
        2. Writing a two-column proof (ex 3)
        3. Using Parallelograms in the Coordinate Plane (ex 4,5)
      3. 7-3 Proving that a Quadrilateral is a Parallelogram
        1. Identifying and Verifying Parallelograms (ex 1,3)
        2. Find side lengths of a parallelogram (ex 2)
        3. Find diagonal lengths of a parallelogram (ex 4)
        4. Using Coordinate Geometry  (ex 5)
      4. Quiz (7.1,7.2, 7.3)
      5. 7-4 Properties of Special Parallelograms
        1. Using Properties of Special Parallelograms (ex 1)
        2. Classify special quadrilaterals (ex 2, 4)
        3. Find angle measures in a rhombus (ex 3)
        4. Using Properties of Diagonals (ex 5)
        5. Using Coordinate Geometry (ex 5)
      6. 7-5 Properties of Trapezoids and Kites
        1. Identify and use Properties of Trapezoids  (ex 1,2)
        2. Using the Trapezoid Midsegment Theorem (ex 3, 4)
        3. Using Properties of Kites (ex 5, 6)
      7. Test (7.1,7.2,7.3,7.4,7.5)

     

    1. Chapter 8 Similarity  (8 days)
      1. 8.3 Similar Polygons
        1. Use similarity statements (ex 1)
        2. Find corresponding lengths (ex 2,3)
        3. modeling with mathematics (ex 4)
        4. Finding areas of similar polygons (ex 5)
        5. Deciding whether polygons are similar (ex 6)
      2. 8.4 Proving Triangle Similarity by AA
        1. Use the AA similarity theorem (ex 1, 2)
        2. Solve real-life problems (ex 3)
      3. 8.5 Proving Triangle Similarity by SSS and SAS
        1. Use the SSS Similarity  theorem (ex 1, 2)
        2. Uses the SAS Similarity theorem (ex 3)
      4.  Quiz (8.3,8.4,8.5)
      5. 8.6 Proportionality theorems
        1. Using Proportionality Theorem to find the length of a segment (ex 1,2)
        2. Use 3 parallel lines theorem (ex 3)
        3. Use triangle angle bisector theorem (ex 4)
        4. Partitioning a Directed Line Segment (ex 5)
      6. Test (8.3,8.4,8.5,8.6)

     

    1. Chapter 9 Right Triangles and Trigonometry (10 days)
      1. 9.1 The Pythagorean Theorem
        1. Use Pythagorean Theorem (ex 1,2)
        2. Solve real-life problems (ex 3)
        3. Verify right triangles (ex 4)
        4. Classify triangles (ex 5)
      2. 9.2 Special Right Triangles
        1. Find side lengths of 45-45-90 triangles (ex 1)
        2. Find side lengths of 30-60-90 triangles (ex 2)
        3. Solve real-life problems (ex 3,4)
      3. Quiz (9.1,9.2)
      4. 9.4 The Tangent Ratio
        1. Find tangent ratios (ex 1)
        2. Find a leg length (ex 2)
        3. Use special right triangles to find a tangent (ex 3)
        4. Solve real-life problems (ex 4)
      5. 9.5 The Sine and Cosine Ratio
        1. Using Sine and Cosine Ratios (ex 1, 3)
        2. Finding Sine and Cosine in Special Right Triangles (ex 4,5)
        3. Solving Real-Life Problems (ex 6)
        4. Using a Trigonometric Identity (ex 2)
      6.  Quiz (9.4,9.5)
      7. 9.6 Solving Right Triangles
        1. Identify angles from trig ratios (ex 1)
        2. find angle measures (ex 2)
        3. Solve a right triangle (ex 3,4)
        4. Solve a real-life problem (ex 5)
      8. Test

     

    1. Chapter 10 : Circles  (8 days)
      1. 10.1 Lines and Segments that Intersect Circles
        1. Identify lines and segments in the circle (ex 1)
        2. Draw and identify common tangents (ex 2)
        3. Verify a tangent to a circle (ex 3)
        4. Find the radius of a circle (ex 4)
        5. construct a tangent to a circle
        6. Use properties of tangents (ex 5)
      2. 10.2 Finding Arc Measures
        1. Find measures of arcs (ex 1, 3)
        2. Use arc addition postulate (ex 2)
        3. identify congruent arcs (ex 4)
        4. similar circles theorem
      3. 10.4 Inscribed Angles and Polygons
        1. use measures of inscribed angles (ex 1)
        2. find the measure of an intercepted arc (ex 2)
        3. find the  measure of an angle (ex 3)
        4. Use inscribed polygons to find angles (ex 4)
        5. Use a circumscribed circle (ex 5)
      4. Quiz #1 (10.1, 10.2, 10.4)
      5. 10.7 Circles in the Coordinate Plane
        1. Write the standard equation of a circle (ex 1, 2)
        2. Graph a circle (ex 3)
        3. Write a coordinate proof involving a circle (ex 4)
        4. Use graphs of circles to solve word problems (ex 5)
        5. Solve a nonlinear system of equations (ex 6)
      6. Test (10,1, 10.2, 10.4, 10.7)

     

    1. Chapter 11: Circumference, Area and Volume (11 days)

                11.1 Circumference and Arc Length

        1. Find circumference (ex 1)
        2. Use arc lengths to find measures (ex 2)
        3. Use circumference to find distance traveled (ex 3)
        4. Use arc length to find distances (ex 4)
        5. Convert between degrees and radians (ex 5)
      1. 11.2 Areas of Circles and Sectors
        1. Find the area of a circle (ex 1)
        2. Use area to find geometric probability (ex 2)
        3. Find the area of a sector (ex 3)
        4. Use area of a sector to find the area of the circle (ex 4)
        5. Find the area of a region (ex 5)
      2. Quiz #1 (11.1, 11.2)
      3. 11.4 Volumes of Prisms (Rectangular) and Cylinders
        1. Classify solids (ex 1)
        2. Find volumes of rectangular prisms (part of ex 2)
        3. Find volumes of cylinders (ex 3)
        4. Find volumes of similar solids (ex 4)
        5. Find volumes of composite solids (ex 5)
      4. 11.5 Volumes of Pyramids
        1. Find the volume of a square pyramid (part of ex 1)
        2. Use the volume of a pyramid to find other measurements (part of ex 2, 3)
        3. Find the volume of a similar pyramid (ex 4)
        4. Find the volume of composite solids (ex 5)
      5. Quiz #2  (11.4, 11.5)
      6. 11.6 Surface Area and Volumes of Cones
        1. Find the surface area of right cones (ex 1)
        2. Find the volume of a cone (ex. 2)
        3. Find the volume of a similar solid (ex 3)
        4. Find the volume of composite solids (ex 4)
      7. 11.7 Surface Area and Volumes of Spheres
        1. Find the surface area of spheres (ex 1)
        2. Find the diameter of a sphere given the surface area (ex 2)
        3. Find the volume of a sphere (ex 3, 4)
        4. Find the volume of a composite solid (ex 5)
      8. Test (11.1,11.2,11.4, 11.5, 11.6, 11.7)

     

     

     
    Course Description

                                                                                       

     
     
    Week
    Standards
    Instructional Content
    Activities, Readings, Labs, Interactive Notes, Assignments, etc.
    Assessments
    Other
    1

    MA.G.PL.3

    MA.G.T.1

    MA.G.TS.6

    MA.G.T.7

    Chapter 6
    Relationships Within Triangles 
     Interactive Notebook with notes
    online at www.bigideasmath.com
    review packs
    chapter 6 Quiz 
    6.2,6.3,6.4
    2
    MA.G.T.1 
    MA.G.T.6
    MA.G.QP.1
    MA.G.QP.2
    MA.G.QP.3
    Chapter 6
     
    Chapter 7
    Quadrilaterals and other Polygons
     Interactive Notebook with notes
      online at www.bigideasmath.com
    review packs 
     
     
    Chapter 6 Test 
    6.5,6.6
     
    7.1
     
    3

    MA.G.TS.6

    MA.G.QP.1

    MA.G.QP.2

     
     
    Chapter 7
     
     Interactive Notebooks with notes
    online at www.bigideasmath.com
    review packs

    chapter 7 Quiz 1

     

    7.2,7.3

    7.4,7.5

     
    4

    MA.G.T.4

    MA.G.TS.6

    MA.G.T.5

    MA..G.T.1

    Chapter 7
     
    Chapter 8
    Similarity
     Interactive Notebooks with notes
    online at www.bigideasmath.com
    review packs
     
     Chapter 7 Test 
    8.3,8.4 
    5
    MA.G.T.4
    MA.G.TS.6
    MA.G.T.5
    MA.G.T.1 

    Chapter 8

     

     interactive Notebooks with notes
     online at www.bigideasmath.com
    review packs 
    chapter 8 Quiz 

    8.5

    8.6

     
    6

    MA.G.T.10

    MA.G.T.10 

    Chapter 8
    Chapter 9
    Right Triangles and Trigonometry
     interactive notebooks with notes
    online at www.bigideasmath.com
    review packs 
     
    Chapter 8 Test 
    Chapter 9 Quiz 1
     9.1,9.2
    7

    MA.G.T.10

    MA.G.T.11

    MA.G.T.9

     
    Chapter 9
     
     interactive notebooks with notes 
     online at www.bigideasmath.com
    review packs 
     
     
    chapter 9 Quiz 2
     9.4,9.5
     
    9.6
    8
     MA.G.CI.1
    MA.G.CI.3
    MA.G.CI.4
    MA.G.CI.6
    MA.G.CI.7
    MA.G.LP.2
    Chapter 9
    Chapter 10
    Circles
     interactive notebooks with notes
     online at www.bigideasmath.com
    review packs 
     
    Chapter 9 Test 
     
    Chapter 10 Quiz 1

    10.1,10.2,10.4

     

     
    9
     MA.G.CI.4
    MA.G.TS.3
    MA.G.TS.5 
    MA.G.TS.6 
    Chapter 10
    Chapter 11
    Circumference, Area, and Volume 
     interactive notebooks with notes
    online at www.bigideasmath.com
    review packs 
     
    ch 11 Quiz
    Chapter 10 Test
    10.7
    11.1
    10

    MA.G.CI.4

    MA.G.TS.3

    MA.G.TS.5

    MA.G.TS.6

     
    Chapter 11
     
     interactive notebooks with notes
    online at www.bigideasmath.com
    review packs 
     Chapter 11 Quiz 1
    Chapter 11 Quiz 2
    11.2
    11.4,11.5
    11

     MA.G.TS.3

    MA.G.TS.4

    MA.G.TS.5

    Chapter 11
     interactive notebooks with notes
    online at www.bigideasmath.com
    review packs 
     
     chapter 11 test
    11.6,11.7
    12
     
     
    Finals
     
     final exam study guide
     
    Final Exam