Integrated Math II

*IXL's accessed via https://www.ixl.com/

*Worksheets posted in googleclassroom, hosted on drupert googledrive/classroom/curriculum/IM2/

Unit 1: Patterns & sequences

Sequences
- Recognizing sequence types
  - Arithmetic, Geometric, Quadratic
    - IXL's:
      - Algebra 1 CC.1 Identify linear, quadratic, and exponential functions from graphs
      - Algebra 1 CC.2 Identify linear, quadratic, and exponential functions from tables
- Recursive notation
  - IXL's:
    - Algebra 2 BB.4 Evaluate recursive formulas for sequences
    - Algebra 2 BB.8 Write a formula for a recursive sequence
- Explicit notation
  - IXL's:
- Sequences Art project
- Unit Review

Unit 2: Quadratics

Adding/Subtracting/Multiplying Binomials
- What are "like terms"?
- Distributing, FOIL method
  - worksheets: (Hosted on drupert googledrive/classroom/curriculum/IM2/
    - 2.1.1 Add/subtract polynomials
    - 2.1.2 Multiply polynomials (distribute)
    - 2.1.3 Multiply Binomials (FOIL)
  - IXL's :
    - Eighth grade BB.4 Add and subtract polynomials
    - Eighth grade BB.12 Multiply polynomials
    - Algebra 1 Z.8 Multiply two binomials
    - Algebra 1 Z.9 Multiply two binomials: special cases
Simplifying Radicals
- Factor trees, identifying hidden squares
- What does a negative inside a radical imply?
  - worksheets:
    - 2.2.1
  - IXL's:
    - 8th.A.4 Prime factorization
    - A1.EE.1 Simplify radicals
Graphing quadratic functions in standard form.
- Plotting points, identifying vertex and axis of symmetry
- worksheets:
- IXL's:
Graphing quadratic functions in vertex form.
- Desmos activities:
  - Create parabolas using vertex form
  - Match My Parabola
- worksheets:
- IXL's:
Describing Transformations of a Quadratic
- Graphing quadratics by plotting points
- Graphing quadratics in vertex form
- Desmos transformations activity: Marbleslides
- worksheets:
  - 2.3.1
- IXL's:
Factoring quadratic expressions
- Factoring binomials
- Factoring patterns (sums, differences of squares)
- worksheets:
- IXL's:
Graphing quadratic functions in factored form.
- worksheets:
- IXL's:
Factoring quadratic expressions
- worksheets:
- IXL's:
Identifying the vertex and axis of symmetry of quadratic functions
- worksheets:
- IXL's:
Converting between the 3 forms of quadratic functions
- Standard, Vertex, Intercept forms - pros & cons
- worksheets:
- IXL's:
Finding x-intercepts of quadratic functions.
- worksheets:
- IXL's:
Finding y-intercepts of quadratic functions.
- worksheets:
- IXL's:
Solving quadratic equations by factoring
- worksheets:
- IXL's:
Solving quadratic equations by completing the square
- worksheets:
- IXL's:
Solving quadratic equations using the quadratic formula
- worksheets:
- IXL's:

Unit 3: Geometry

20. Using special angles to write equations and solve for variables (complementary, supplementary, vertical, interior and exterior angles)

worksheets: findTheAngle

IXL's:

21. Triangle Similarity Proofs. Review SSA, ASA, SSS, AAS, HL

worksheets: triangles_SAS

IXL's: P.11 Congruent triangles: SSS, SAS, and ASA

IM2 Departmental Scope & Sequence

Sequences (arithmetic, geometric, focus on quadratic, recursive and explicit notation)
Adding/Subtracting/Multiplying Binomials
Simplifying Radicals
Describing Transformations of a Quadratic
Graphing quadratic functions in standard form.
Graphing quadratic functions in vertex form.
Graphing quadratic functions in factored form.
Factoring quadratic expressions
Identifying the vertex and axis of symmetry of quadratic functions
Converting between the 3 forms of quadratic functions
Finding x-intercepts of quadratic functions.
Finding y-intercepts of quadratic functions.
Solving quadratic equations by factoring
Solving quadratic equations by completing the square
Solving quadratic equations using the quadratic formula
~~Graphing and analyzing absolute value equations~~
~~Graphing and analyzing piecewise functions~~
~~Graphing and writing functions for absolute value and piecewise functions~~
Basic Imaginary Number Operations
Using special angles to write equations and solve for variables (complementary, supplementary, vertical, interior and exterior angles)
Triangle Similarity Proofs
Dilating Figures given scale factor and center
Using proportions to solve for pairs of similar polygons
Finding the midpoint between two ordered pairs
Solving similar right triangles using proportions and Pythagorean theorem
Circumference and Area of Circles, as well as working backwards to solve for radius and diameter
Inscribed and Central Angles
Complex Numbers (powers of i. Add, multiply, divide complex numbers, rationalizing the denominator).

ALGEBRA

Polynomials
Factoring

QUADRATIC FUNCTIONS

Vertex form, standard form, factored form
Transformations of quadratic functions

QUADRATIC EQUATIONS

Factoring
Completing the square
Quadratic formula

COMPLEX AND IRRATIONAL NUMBERS

Operations with complex and irrational numbers (incl. Rationalize the denominator)
Incl. cube roots

SIMILAR TRIANGLES

Proofs
Applications

CIRCLES AND CIRCLE THEOREMS

Inscribed angles
Perpendicular bisectors / center
Arc length / sectors

Math II - Equations and Expressions

Interpret the structure of expressions.

Write expressions in equivalent forms to solve problems.

Perform arithmetic operations on polynomials.

Create equations that describe numbers or relationships.

Solve equations and inequalities in one variable.

Math II - Functions

Quadratic and Exponential and Absolute Value Focus

Interpret functions that arise in applications in terms of the context.

Analyze functions using different representations.

Build a function that models a relationship between two quantities.

Build new functions from existing functions.

Construct and compare linear, quadratic, and exponential models and solve problems.

Interpret expressions for functions in terms of the situation they model.

Math II - The Number System

Perform arithmetic operations with complex numbers

Use complex numbers in polynomial identities and equations