INTEGRATED MATH 1, PART 2
Price: $125 | Credits: One Semester | Dept: Math | Course ID# 231-2
Integrated Math 1, Part 2 is the second semester of Integrated Math 1 and connects algebraic and geometric reasoning through the study of lines, systems, transformations, triangles, and data. Students analyze parallel and perpendicular lines, solve systems of equations and inequalities, and use rigid motions and congruence theorems to investigate figures and triangles. Students explore triangle centers and inequalities before concluding with statistics and data analysis, including measures of center and spread, data displays, two-way tables, scatterplots, and linear models. Integrated Math 1 is approved by the University of California A-G as mathematics (category C).
Upon completion of this course, the student is awarded 5 credits. Each credit corresponds to 15 hours of study. Of course, some students work more quickly than others, and some can devote more hours to study, so some students are able to complete the course at an accelerated rate.
LEARNING OBJECTIVES
In this module, students gain a comprehension of the following:
- Relationships between parallel and perpendicular lines and angles formed by transversals.
- How to use slope and equations to analyze and represent parallel and perpendicular lines.
- How to solve systems of linear equations using graphing, substitution, and elimination.
- How to graph and interpret systems of linear inequalities.
- How rigid transformations, symmetry, and compositions of transformations affect geometric figures.
- How to prove triangles congruent using SSS, SAS, ASA, AAS, HL, and CPCTC.
- Properties of isosceles and equilateral triangles.
- Triangle centers, midsegments, perpendicular bisectors, angle bisectors, medians, and altitudes.
- How to apply triangle inequalities and indirect reasoning.
- How to organize, represent, and analyze quantitative and qualitative data.
- How to interpret measures of center and spread, two-way tables, scatterplots, trend lines, and linear models.
TOPICS COVERED
This course covers the following topics:
- Lines and Angles
- Parallel Lines and Algebra
- Proving Lines Parallel
- Slope and Equations of Parallel Lines
- Slope and Equations of Perpendicular Lines
- Solving Systems by Graphing
- Solving Systems Using Substitution
- Solving Systems Using Elimination
- Solving Special Systems
- Applying Systems
- Solving Systems of Linear Inequalities
- Classifying Triangles and Angles of Triangles
- Rigid Transformations
- Symmetry
- Compositions of Transformations
- Congruent Figures
- Congruent Triangles (SSS, SAS)
- Congruent Triangles (ASA, AAS)
- HL and CPCTC
- Isosceles and Equilateral Triangles
- Midsegments of a Triangle
- Perpendicular and Angle Bisectors
- Medians and Altitudes of Triangles
- Constructing Centers of Triangles
- Indirect Proofs
- Inequalities in One and Two Triangles
- Quantitative and Qualitative Data
- Measures of Center and Spread
- Representing Univariate Data
- Two-Way Frequency Tables
- Scatterplots and Linear Relationships
- Trend Lines and Interpreting Linear Models
- Line of Best Fit and Evaluating Linear Models
