Calculus RESEARCH BASED 9-Page PreTest / PreAssessment with Answers
Higher Math Made Simple
28 Followers
Grade Levels
11th - 12th
Subjects
Resource Type
Standards
CCSSHSA-SSE.A.1a
CCSSHSA-SSE.B.3a
CCSSHSA-SSE.B.3c
CCSSHSA-APR.A.1
CCSSHSA-APR.D.6
Formats Included
- Zip
Pages
18 pages
Higher Math Made Simple
28 Followers
Also included in
87 qualified high school math teachers have been surveyed POST-COVID across the 6 subjects (algebra 1, algebra 2, geometry, precalculus, calculus, and statistics & probability). They are all a compilation of their answers to the question: what do you WISH students knew BEFORE taking the course?Price $18.60Original Price $23.25Save $4.65
Description
87 qualified high school math teachers have been surveyed POST-COVID across the 6 subjects (algebra 1, algebra 2, geometry, precalculus, calculus, and statistics & probability). This 9-page research-based scaffolded calculus practice test is a compilation of their answers to the question: what do you WISH students knew BEFORE taking the course? These calculus prerequisites are perfectly scaffolded in the pretest!
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Check out my other research-based pre-assessments!
➤ Algebra 1 - 9 Pages with Key
➤ Algebra 2 [FREE!] - 10 Pages with Key
➤ Statistics & Probability - 11 Pages with Key
➤ Precalculus - 9 Pages with Key
➤ Geometry- 10 Pages with Key
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Prerequisite calculus requirements list of topics (step-by-step key provided):
✫ Trigonometric Functions:
- Fill out the radian and coordinate pairs in the unit circle, either from memory or by using reference & coterminal angles
- Evaluate trig functions with coterminal angles
- Solve trigonometric equations (also knowing trig identities & factoring)
- Given a trig function, identify the amplitude, period, phase shift and vertical shift
- Sketch sine, cosine, and tangent parent function
- Verify trig identities
✫ Solving Equations:
- Find the zeros of a quadratic equation using the factoring method
- Solve a quadratic equation using the quadratic formula
- Solve a quadratic equation using the Complete the Square method
- Solve logarithmic and exponential equations
- Solve trigonometric equations (also knowing trig identities & factoring)
- Solve a system of linear equations
✫ Polynomials & Functions:
- Factoring polynomials (AC method, GCF, Difference of Perfect Squares, & by Grouping)
- Given a polynomial expression, identify the degree, leading coefficient, constant, number of terms, and determining the maximum number of distinct roots
- Find the difference quotient (in preparation for evaluating a limit)
- Determine whether a function is continuous or not
- Find the End Behavior of a graph (in preparation for limits)
- Find the domain and range of a function
- Matching section: Match the type of function to its corresponding equation (periodic, linear, quadratic, cubic, rational, logarithmic, piecewise, even, odd, & exponential).
- Evaluating different types of functions (piecewise, polynomial, trigonometric, logarithmic)
✫ Rational Functions & Expressions:
- Given a rational function: identify the domain, infinite discontinuity (vertical asymptote), point discontinuity (hole), equation of the horizontal asymptote, and then sketch the function
- Operations of rational expressions which involves factoring, including long/synthetic division
✫ Miscellaneous:
- Sketch the graph of multiple types of parent functions & transformations of those parent functions (shifts, shrinks, stretches, and reflections)
- Algebra basic foundation: For example x^4 equals x times itself 4 times, versus 4x equals x added together 4 times. Also, review of properties of exponents
Total Pages
18 pages
Answer Key
Included
Teaching Duration
N/A
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Standards
to see state-specific standards (only available in the US).
CCSSHSA-SSE.A.1a
Interpret parts of an expression, such as terms, factors, and coefficients.
CCSSHSA-SSE.B.3a
Factor a quadratic expression to reveal the zeros of the function it defines.
CCSSHSA-SSE.B.3c
Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15 to the 𝘵 power can be rewritten as ((1.15 to the 1/12 power) to the 12𝘵 power) is approximately equal to (1.012 to the 12𝘵 power) to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
CCSSHSA-APR.A.1
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
CCSSHSA-APR.D.6
Rewrite simple rational expressions in different forms; write 𝘢(𝘹)/𝘣(𝘹) in the form 𝘲(𝘹) + 𝘳(𝘹)/𝘣(𝘹), where 𝘢(𝘹), 𝘣(𝘹), 𝘲(𝘹), and 𝘳(𝘹) are polynomials with the degree of 𝘳(𝘹) less than the degree of 𝘣(𝘹), using inspection, long division, or, for the more complicated examples, a computer algebra system.
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