This is the list of Pearson units and topics for IM2. The units and topics highlighted in red may be removed for the sake of instructional time.
INTEGRATED MATH2
FALL SEMESTER
•Congruence & Rigid Motion (3 weeks)
Rigid Transformations in a Plane
Rigid Transformations in a Coordinate Plane
Composite Transformations (if time allows)
Triangle Congruence Criteria (SSS, SAS, ASA, AAS)
Angles of Parallel Lines & Transversal (corresponding, alternate interior, alternate exterior, same-side interior, same-side exterior angles)
Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
Prove Triangles are Congruent
•Geometric Properties and Relationships (4 weeks)
Triangle Sum Theorem
Triangle Exterior Angle Theorem
Triangle Midsegment Theorem
Quadrilateral Midsegment Theorem
Concurrency Theorems: Medians, Perpendicular Bisectors, Altitudes (if time allows)
Parallelogram Theorems (Opposite Sides are Congruent, Opposite Angles are Congruent, Diagonals Bisect Each Other)
•Coordinate Geometry (? weeks)(if time allows)
Distance & Midpoint Formula
Slopes of Parallel & Perpendicular Lines
Area & Perimeter of Polygons in Coordinate Plane
Classify Triangles & Quadrilaterals in Coordinate Plane
Equation of Circles in Coordinate Plane
•Quadratic Functions (6 weeks)
Standard form and effects of a, b, c on the graph of y = ax2 + bx + c
Graphically & Algebraically Determine Zeros, Axis of Symmetry, Vertex, Concavity of Quadratic Functions
Translations of Parabolas
Vertex Form f(x) = a(x – h)2 + k
Find the Maximum/ Minimum of Parabolas
Average Rate of Change of Quadratic Functions
Adding & Subtracting Linear/ Quadratic Functions
Square Root Functions
•Quadratic Equations(5 weeks)
Square Root Method for Solving Quadratic Equations
Factoring Method for Solving Quadratic Equations
Completing the Square Method for Solving Quadratic Equations
Quadratic Formula
Apply Solving Quadratic Equations to Area & Perimeter
Discriminant and its Effect on Number of Solutions/ Graphs of Quadratic Functions
Solving Systems of Linear & Quadratic Equations
Solving & Graphing Quadratic Inequalities in One/ Two Variables
Complex Numbers & Finding the Complex Zeros of Quadratic Functions
SPRING SEMESTER
•Similarity (6 weeks)
Dilations of Figures in the Plane
Dilations of Figures in the Coordinate Plane
Triangle Similarity Criteria (AA, SAS, SSS Similarity)
Proving Triangles are Similar using Angles of Parallel Lines & Similarity Criteria
Triangle Proportionality Theorem
Similar Right Triangles
Prove Pythagorean Theorem using Similar Right Triangles
Indirect Measurement with Similar Triangles & Proportions
•Exponential Functions(6 weeks)
Geometric Sequences & Series
Linear & Exponential Growth
Growth Factor
General Exponential Function f (x) = abxand How a and b Change the Graph
Compound Interest & Depreciation
Law of Exponents
The Constant e
Definition of Logarithms: bx = y & logby = x
Graphing Logarithmic Functions
Solving Exponential Equations Using Logarithms
•Probability(6 weeks)
Probability Distribution
Probability of Mutually Exclusive/ Non-Mutually Exclusive Events
Theoretical and Experimental Probabilities (rolling multiple dice, tossing multiple coins)
Conditional Probability
Independent and Dependent Events
Tree Diagrams
Frequency Tables
Two-Way Frequency Tables (joint frequencies, marginal frequencies, relative frequencies, joint relative frequencies, marginal relative frequencies)
INTEGRATED MATH3
•Similarity (IM2 didn’t teach in 2014 - 2015 but it will be removed in 2016 - 2017)
•Intro to Trigonometry
•Circles and Parabolas
•Geometric Measurements and Dimensions
•Polynomials and Rational Expressions
•Categorical and Quantitative Data (IM1 taught in 2014 - 2015 so it shouldn’t be necessary in 2 years for IM3)
**If time allows, focus on functions (either select lessons within the Functions unit for review, the Trig Functions unit for Pre-Calculus prep or the Exponential Functions unit depending on if it was taught the previous year)