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Contemplanda

Core mathematics

Integrated Math 1 Honors

An honors integrated course that weaves algebra and geometry together across a single year.

15 units · 86 lessons · 752 practice items · 432 videos

Integrated Math 1 Honors is an honors course on the integrated pathway, which weaves algebra and geometry together within one year rather than teaching them in separate courses. You work through systems of equations and inequalities, matrices, sequences and series, and linear and exponential functions, then move into transformations and congruence, connecting algebra with geometry, modeling data, and quadratic functions and the structure of expressions.

As an honors sequence it moves quickly and leans on reasoning. You answer by building: placing points, transforming functions, fitting lines to data, marking solution sets on a number line. Several hundred short video segments run through the lessons, and about half the problems include hints.

Syllabus

Every published lesson in this course, by unit.

1Matrix madness7 lessons
  1. 1Writing and reasoning with inequalities
  2. 2Justifying equation steps
  3. 3Organizing data into matrices
  4. 4Multiplying matrices
  5. 5Matrix arithmetic
  6. 6Matrix arithmetic fluency
  7. 7Unit 1 test
2Systems of equations and inequalities6 lessons
  1. 1Systems of inequalities as constraints
  2. 2Solving linear systems
  3. 3Systems and matrices
  4. 4Solving systems with matrices
  5. 5Linear programming
  6. 6Unit 2 test
3Sequences and series7 lessons
  1. 1Representing sequences
  2. 2Arithmetic and geometric sequences
  3. 3Rates of growth
  4. 4Recursive and explicit rules
  5. 5Finding sequence rules
  6. 6Sequence fluency and series
  7. 7Unit 3 test
ExamSemester 1 midterm1 lesson
  1. 1Semester 1 midterm exam
4Linear and exponential functions7 lessons
  1. 1Linear and exponential patterns
  2. 2Distinguishing representations
  3. 3Secant lines and average rate of change
  4. 4Interpreting function models
  5. 5Forms of linear and exponential equations
  6. 6Growth, decay, and interest
  7. 7Unit 4 test
5Features of functions7 lessons
  1. 1Graphing stories
  2. 2Features across representations
  3. 3Function notation and combining functions
  4. 4Solving with graphs
  5. 5What makes a function
  6. 6Matching features and representations
  7. 7Unit 5 test
ExamSemester 1 final1 lesson
  1. 1Semester 1 final exam
6Transformations, congruence, and constructions10 lessons
  1. 1Rigid motions
  2. 2Defining rigid motions
  3. 3Symmetry in quadrilaterals
  4. 4Quadrilateral properties from symmetry
  5. 5Transformation sequences and congruence
  6. 6Applying congruence criteria
  7. 7Constructing rhombuses and squares
  8. 8Constructing parallelograms and hexagons
  9. 9Writing construction procedures
  10. 10Unit 6 test
7Connecting algebra and geometry10 lessons
  1. 1Slope criteria and coordinate proofs
  2. 2Parallel lines and intercepts
  3. 3Translating functions
  4. 4Vectors
  5. 5Properties of matrix operations
  6. 6Determinants and area
  7. 7Inverse matrices and systems
  8. 8Matrix transformations
  9. 9Vector applications
  10. 10Unit 7 test
8Modeling data8 lessons
  1. 1Describing data distributions
  2. 2Standard deviation
  3. 3Two-way frequency tables
  4. 4The correlation coefficient
  5. 5Lines of best fit
  6. 6Residual plots
  7. 7A full statistical analysis
  8. 8Unit 8 test
ExamSemester 2 midterm1 lesson
  1. 1Semester 2 midterm exam
9Quadratic functions6 lessons
  1. 1Quadratic patterns of change
  2. 2Maximums, minimums, domain and range
  3. 3Average rate of change of quadratics
  4. 4Quadratic versus exponential growth
  5. 5Comparing function families
  6. 6Unit 9 test
10Structures of expressions9 lessons
  1. 1Vertex form and transformations
  2. 2Completing the square
  3. 3Completing the square with leading coefficients
  4. 4Factored and standard forms
  5. 5Factoring with leading coefficients
  6. 6GCF and difference of squares
  7. 7Vertex and intercepts
  8. 8Connecting quadratic forms
  9. 9Unit 10 test
11Exponents5 lessons
  1. 1Exponential values between integers
  2. 2Rational exponents and radicals
  3. 3Exponent properties and rational exponents
  4. 4Exponential and radical fluency
  5. 5Unit 11 test
ExamSemester 2 final1 lesson
  1. 1Semester 2 final exam