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Math

Integrated Math 1 Part 1

This course is the first part of Integrated Math 1 and covers the topics of solving linear equations, both simple and multi-step, as well as absolute value equations and literal equations. It also covers linear inequalities, both their graphs and solutions, and goes on to explain solving compound inequalities and absolute value inequalities. The graphing of linear functions are also covered, inlcuding function notation, transformations and shifts. From there, the course covers the writing of linear functions, scatter plots and lines of best fit, systems of linear equations, and exponential and radical functions, including exponential growth and decay. Finally, the course covers both arithmetic and geometric sequences, including finding the nth term, the sum of n terms, and the sum of infinite geometric series’. 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 in an accelerated rate.

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LEARNING OBJECTIVES

In this module, students gain a comprehension of the following:

• How to solve linear equations, including multistep and Absolute value equations, as well as proportions.

• To solve linear inequalities, compound inequalities, and absolute value inequalities.

• How to graph linear functions, as well as how transformations and shifts affect graphs.

• To write linear functions in: slope intercept, point slope, and standard forms, as well as how to derive lines of best fit from scatter plots.

• How to solve systems of linear equations using the three methods: graphing, substitution, and the elimination method.

• To solve exponential and radical functions, and to graph growth and decay functions, along with simplifying radicals and zero and negative exponents.

• How to find the nth term and the sum of n terms for arithmetic, geometric, and infinte geometric sequences.

TOPICS COVERED

  1. Simple ( One Step ) Equations
  2. Multi-Step Equations
  3. Equations with Variables on Both Sides
  4. Solving Ratios & Proportions
  5. Absolute Value Equations
  6. Solving Literal Equations
  7. Writing Inequalities
  8. Graphing Inequalities ( on a number line )
  9. Solving Simple Inequalities
  10. Solving Multi-Step Inequalities
  11. Solving Compound Inequalities
  12. Absolute Value Inequalities
  13. Functions
  14. Linear Functions
  15. Function Notation
  16. Graphing Linear Equations
  17. Transformations and Shifts in Linear Graphs
  18. Graphing Absolute Value Functions
  19. Slopes and Graphs
  20. Writing Linear Equations- Slope-Intercept Form
  21. Writing Linear Equations – Point-Slope Form
  22. Writing Linear Equations – Standard Form
  23. Scatter Plots and Lines of Best Fit
  24. Solving Systems of Equations- Graphing Method
  25. Solving Systems of Equations- The Substitution Method
  26. Solving Systems of Equations- The Elimination (aka Addition) Method
  27. Special Systems of Linear Equations
  28. Graphing Linear Inequalities (2 Variables)
  29. Systems of Linear Inequalities
  30. Zero and Negative Exponents
  31. Exponential Functions
  32. Exponential Growth vs. Decay
  33. Solving Exponential Equations
  34. Simplifying Radicals
  35. Arithmetic Sequences
  36. Geometric Sequences
  37. Infinite Geometric Series

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