Free Printable WorksheetMathCalculus IIMath CurriculumAP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55

CAL2.104 Polar Coordinates and Plotting Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Calculus II Math worksheet provides structured practice on CAL2.104 Polar Coordinates and Plotting. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

CAL2.104 Polar Coordinates and Plotting - Choose the correct polar coordinate, equivalent point, or plotted location. Standards: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Calculus II

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related CAL2.104 Polar Coordinates and Plotting skill assessments:

Problem 1Difficulty: Mastery
Which equivalent coordinate for (12, -19pi/6) has the smallest nonnegative angle among equivalent coordinates that use r = 12 or r = -12?
A(-12, 11pi/6)
B(12, 17pi/6)
C(-12, pi/6)
D(12, 5pi/6)
Solution & Explanation:With r = 12, the angle -19pi/6 becomes 5pi/6 after adding 4pi. With r = -12, the matching angle is 11pi/6. The smallest nonnegative angle among valid equivalents is 5pi/6.
Problem 2Difficulty: Mastery
Which statement gives all polar coordinates that plot at the pole?
A(r, 0) for any real r
B(1, theta) for any real theta
C(0, theta) for any real theta
DOnly (0, 0)
Solution & Explanation:Every coordinate with r = 0 plots at the pole, no matter what theta is. Nonzero r values move away from the pole.
Problem 3Difficulty: Mastery
What rectangular coordinate corresponds to the polar coordinate (-2sqrt(2), 3pi/4)?
A(-2, 2)
B(2, -2)
C(2, 2)
D(-2, -2)
Solution & Explanation:cos(3pi/4) = -sqrt(2)/2 and sin(3pi/4) = sqrt(2)/2. Multiplying by -2sqrt(2) gives x = 2 and y = -2.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Calculus II Math students. It aligns with educational standard AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55 (Choose the correct polar coordinate, equivalent point, or plotted location. Standards: AP Calculus BC Unit 9; CCSS.HSF.IF, HSG.GPE, HSN.VM extension; CCSS.MP2, MP4, MP5, MP6, MP7; Integrated Calculus II Standards CAL2-PPV; TEKS 19 TAC section 111.55).

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