Calculus Prior Knowledge Self Checking Review

This self checking review activity is designed to be used with students on Day 1 or Day 2 of their first calculus course. There is NO CALCULUS in this activity. This is designed to activate prior knowledge and inform the teacher about what prior math topics the students remember.

Contents:

• 3 Teacher Details Pages
  • 1 Contents and Details Page
  • 1 Suggested Use Page
  • 1 Skills Practiced Page

• Self-checking Review Activity (2 pages)
  • Front Side contains 18 questions reviewing math topics from:
    • Algebra 1,
    • Geometry,
    • Algebra 2
    • Pre-Calculus.

• • Back side is a self-checking page with the answers scrambled (students cross off each answer they found on the front)

• 1 Answer Key (2 pages)

Skills Practiced (there are a ton!):

• Factoring quadratics and Zero Product Property,
• Rational Functions, holes, vertical asymptotes,
• Unit Circle trigonometry,
• Exponential functions,
• Horizontal and vertical shifts (translations), horizontal and vertical asymptotes,
• Polynomial division (long division or synthetic division) or Remainder Theorem,
• log rules,
• Inverse functions,
• Absolute value, vertex form, maximums,
• Geometry notation, area of a trapezoid (or composition of rectangles and triangles),
• function notation, composition of functions, evaluating functions,
• x and y intercepts, System of linear equations, substitution or elimination (or potentially graphing),
• domain and range,
• square roots, radicals,
• Writing linear equations, slope intercept form and/or point slope form, slope formula (rise over run)

Suggested Use:

• This is a good Day 1 or Day 2 small-group activity in a Calculus class.
  • I recommend groups of 2-4.
  • Plan for ~ 50 minutes to give students work time and to address questions that come up

• The goal is to:

1. Activate Prior Knowledge
2. Evaluate how much the students remember from their past math classes and use their mistakes to inform warm ups for the first couple weeks.

• Other potential uses:

1. Use this for a quick and easy no-prep activity for when you need sub plans! (While this activity contains no calculus, it is ideal for sub plans because most substitute teachers will not know calculus either. This gives everyone a break and keeps students thinking about math and practicing the basics!)
2. Use as an end-of-year activity with Pre-Calculus or Algebra 2 students to help them determine if they are ready for Calculus.

Related Products:

• Check out "Derivatives of Radicals Maze" for derivative practice focused on rewriting radicals to rational exponents and practicing equivalent answer forms!
• Looking for a hands-on physical activity for introducing polynomial derivatives? Check out "Derivatives of Polynomials: Cut & Paste + Digital Drag & Drop Tarsia Puzzle Bundle".
• Want to refresh your students on curve sketching an graph features using Alg 2 and PreCalculus concepts? Check out "Curve Sketch Matching Bundle: Cut & Paste + Digital Drag & Drop"
• Looking for other Algebra 1, Algebra 2, Pre-Calculus, or Calculus resources? Check out what I have to offer!

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