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Sample Lessons

Try It Out: The best way to understand the K¹² program is to try it out! Take a look at some lessons that K¹² students experience!

Try our Sample Lessons.

Algebra 1

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Course Overview

Students develop algebraic fluency by learning the skills needed to solve equations and perform important manipulations with numbers, variables, equations, and inequalities. Students also learn concepts central to the abstraction and generalization that algebra makes possible. Students who take Algebra 1 are expected to have mastered the skills and concepts presented in the K12 Pre-Algebra B course (or the equivalent). Students will:

  • Use number properties to simplify expressions or justify statements
  • Describe sets with set notation and find the union and intersection of sets 
  • Simplify and evaluate expressions involving variables, fractions, exponents, and radicals
  • Work with integers, rational numbers, and irrational numbers
  • Graph and solve equations, inequalities, and systems of equations
  • Determine whether a relation is a function and describe the domain and range of a function
  • Use factoring, formulas, and other techniques to solve quadratic and other polynomial equations
  • Formulate and evaluate valid mathematical arguments using various types of reasoning
  • Translate word problems into mathematical equations, and then use the equations to solve the original problems
  • Solve many types of real-world problems including those involving:
  • Work
  • Mixtures
  • Cost and income
  • Area
  • Uniform motion
  • Direct and inverse variation
  • Water and wind current
  • Right triangles

The program also provides supplemental modules on topics in geometry and probability and statistics.

Get the Scope and Sequence for this course
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K¹² Scope & Sequence documents for each course include:

  • Course Overview (as seen above)
  • Course Outline
  • Lesson Time and Scheduling
  • Materials List

Note: Materials lists are subject to revision and may vary slightly from state to state.