High school support · California Integrated Pathway
Integrated Mathematics 3: free lessons and course outline
Extra help for the Integrated Mathematics 3 class you are already in. Your teacher has covered these topics; this is where you come when the homework will not go. Every topic gives you the method as a refresher (the steps, and the specific mistake that costs the marks) then worked examples, then fifteen practice problems. Every problem has a complete worked solution, so when you get one wrong you can find the exact line where it went wrong instead of only knowing that it did.
Integrated Mathematics 3 is the year the function families all arrive at once (polynomial, rational, radical, exponential, logarithmic and trigonometric) and the year statistics stops describing data and starts drawing conclusions from it. Three separate units here produce extraneous solutions, so checking becomes part of the method rather than an optional last step. The topics below follow the order most California Integrated III courses use, so you can go straight to whatever was covered in class today.
- U1Unit 1: Polynomial Functions3 topics
- U2Unit 2: Rational and Radical Functions3 topics
- U3Unit 3: Exponential and Logarithmic Functions3 topics
- U4Unit 4: Trigonometric Functions3 topics
- U5Unit 5: Sequences, Series and Function Operations4 topics
- U6Unit 6: Inference and Conclusions from Data2 topics
Every lesson, unit by unit
U1 is free to read below. The other units open with a free month or a paid plan.
U1 Unit 1: Polynomial FunctionsFREE
U2 Unit 2: Rational and Radical Functions
- 2.1 Rational expressions
- 2.2 Rational equations and graphs
- 2.3 Radicals and rational exponents
U3 Unit 3: Exponential and Logarithmic Functions
- 3.1 Exponential growth and decay
- 3.2 Logarithms and their properties
- 3.3 Exponential and logarithmic equations
U4 Unit 4: Trigonometric Functions
- 4.1 Radians and the unit circle
- 4.2 Graphing sine and cosine
- 4.3 Identities and trigonometric equations
U5 Unit 5: Sequences, Series and Function Operations
- 5.1 Arithmetic and geometric sequences
- 5.2 Series and summation
- 5.3 Operations and composition of functions
- 5.4 Inverse functions
U6 Unit 6: Inference and Conclusions from Data
- 6.1 Normal distributions and sampling
- 6.2 Simulation and margin of error
Keep going in the full Integrated Mathematics 3 course
All of U1 (Unit 1: Polynomial Functions) is free to everyone, with no account. The course has 18 lessons, each with worked examples and practice problems that come with full solutions. A free account can also start a free month of the whole course, with no card.
Open this lesson in the courseSee the whole course