Contemplanda
Contemplanda course syllabus
Integrated Math 1 Honors
A Contemplanda online course.
The first semester of Integrated Math 1 Honors opens with inequalities, reasoning with equations, and matrices, and then treats systems of equations and inequalities, sequences and series, linear and exponential functions, and the features of functions. In the second semester geometry joins the algebra: transformations, congruence, and constructions, then coordinate geometry with vectors and matrices, and the modeling of data, followed by quadratic functions, the structure of expressions, and exponents.
Besides multiple-choice and numerical questions, problems ask for area models, points placed on a graph, transformed functions, lines fitted to data, and solution sets marked on a number line. Most lessons include a video, and most practice problems carry hints. Every unit closes with a test, and each semester has a midterm and a final.
Course at a glance
- Course title
- Integrated Math 1 Honors
- Publisher
- Contemplanda
- Structure
- 11 units and 4 semester exams, over two semesters (units 1 to 5 in semester 1; units 6 to 11 in semester 2)
- Lessons
- 86 lessons: 71 teaching lessons, 11 unit tests, and 4 semester exams
- Credit
- Not awarded by Contemplanda
- Enrollment
- Through the student's school
Credit and enrollment
Contemplanda does not award high school credit. A student who wants credit for the course should ask their own school whether it will accept it.
Schools order course seats for their students by writing to info@contemplanda.com, and a student enrolls through their school.
Students enrolled through Contemplanda Direct sign in at direct.contemplanda.com. A student whose school delivers the course signs in on the school's own portal instead.
How the course works
- Practice comes one question at a time and continues until the student answers four in a row correctly. After a wrong answer, the practice keeps drawing questions.
Units and lessons
Every published lesson, by semester and unit.
Semester 1
Matrix madness
- Writing and reasoning with inequalities
- Justifying equation steps
- Organizing data into matrices
- Multiplying matrices
- Matrix arithmetic
- Matrix arithmetic fluency
- Unit 1 testUnit test12 questions
Systems of equations and inequalities
- Systems of inequalities as constraints
- Solving linear systems
- Systems and matrices
- Solving systems with matrices
- Linear programming
- Unit 2 testUnit test10 questions
Sequences and series
- Representing sequences
- Arithmetic and geometric sequences
- Rates of growth
- Recursive and explicit rules
- Finding sequence rules
- Sequence fluency and series
- Unit 3 testUnit test12 questions
Semester 1 midterm
- Semester 1 midterm exam27 questions
Covers units 1 to 3.
Linear and exponential functions
- Linear and exponential patterns
- Distinguishing representations
- Secant lines and average rate of change
- Interpreting function models
- Forms of linear and exponential equations
- Growth, decay, and interest
- Unit 4 testUnit test12 questions
Features of functions
- Graphing stories
- Features across representations
- Function notation and combining functions
- Solving with graphs
- What makes a function
- Matching features and representations
- Unit 5 testUnit test12 questions
Semester 1 final
- Semester 1 final exam32 questions
Covers all of semester 1, units 1 to 5.
Semester 2
Transformations, congruence, and constructions
- Rigid motions
- Defining rigid motions
- Symmetry in quadrilaterals
- Quadrilateral properties from symmetry
- Transformation sequences and congruence
- Applying congruence criteria
- Constructing rhombuses and squares
- Constructing parallelograms and hexagons
- Writing construction procedures
- Unit 6 testUnit test16 questions
Connecting algebra and geometry
- Slope criteria and coordinate proofs
- Parallel lines and intercepts
- Translating functions
- Vectors
- Properties of matrix operations
- Determinants and area
- Inverse matrices and systems
- Matrix transformations
- Vector applications
- Unit 7 testUnit test16 questions
Modeling data
- Describing data distributions
- Standard deviation
- Two-way frequency tables
- The correlation coefficient
- Lines of best fit
- Residual plots
- A full statistical analysis
- Unit 8 testUnit test14 questions
Semester 2 midterm
- Semester 2 midterm exam24 questions
Covers units 6 to 8.
Quadratic functions
- Quadratic patterns of change
- Maximums, minimums, domain and range
- Average rate of change of quadratics
- Quadratic versus exponential growth
- Comparing function families
- Unit 9 testUnit test10 questions
Structures of expressions
- Vertex form and transformations
- Completing the square
- Completing the square with leading coefficients
- Factored and standard forms
- Factoring with leading coefficients
- GCF and difference of squares
- Vertex and intercepts
- Connecting quadratic forms
- Unit 10 testUnit test16 questions
Exponents
- Exponential values between integers
- Rational exponents and radicals
- Exponent properties and rational exponents
- Exponential and radical fluency
- Unit 11 testUnit test10 questions
Semester 2 final
- Semester 2 final exam30 questions
Covers all of semester 2, units 6 to 11.
Assessment
Each teaching lesson includes a graded check.
Each of the eleven content units closes with a unit test of 10 to 16 questions.
Each semester has a midterm exam and closes with a final exam. The semester 1 midterm has 27 questions on units 1 to 3, and the semester 1 final has 32 questions on units 1 to 5. The semester 2 midterm has 24 questions on units 6 to 8, and the semester 2 final has 30 questions on units 6 to 11.
Unit tests and semester exams are graded automatically, and all graded work counts toward the student's mastery record, which shows each skill as attempted, familiar, proficient, or mastered.
Contemplanda publishes no grade weighting for this course. A school that decides to grant credit for it also decides how the work counts toward a grade.
Academic integrity
Work in the course must be the student's own.
Answer keys for graded questions are never sent to the student's device.
Materials and technology
- Where the course runs
- In a web browser, through Contemplanda Direct or inside a school's own platform
- Textbook
- None required. The course's own lessons are the text.