Honors Precalculus- MATH GYM
If you were not as successful as you would have liked on a specific learning target from a quiz, you can sign up to hit the Math Gym and practice that learning target through Khan Academy. In doing so, you earn an 80% on that learning target.
Steps
1) In order to be eligible for quiz corrections via math gym, you first need to have corrected all the mistakes for any section that you scored below an 80%. You need to make these corrections on a separate piece of paper and then take a picture on your phone or other electronic device.
2) Scroll down below to see all our learning targets. Then click on the one you wish to practice. Once you are successful, either take a picture with your phone or other electronic device. Note, some sections have more than one module you may need to complete in order to earn the Math Gym credit for that section.
3) Send an email or Teams message to me including a picture of your corrections from Step 1 and screen captures of all completed Khan modules from Step 2. I will then improve that quiz section score to an 80%.
Steps
1) In order to be eligible for quiz corrections via math gym, you first need to have corrected all the mistakes for any section that you scored below an 80%. You need to make these corrections on a separate piece of paper and then take a picture on your phone or other electronic device.
2) Scroll down below to see all our learning targets. Then click on the one you wish to practice. Once you are successful, either take a picture with your phone or other electronic device. Note, some sections have more than one module you may need to complete in order to earn the Math Gym credit for that section.
3) Send an email or Teams message to me including a picture of your corrections from Step 1 and screen captures of all completed Khan modules from Step 2. I will then improve that quiz section score to an 80%.
WARNING: unless you are working on a personal computer (and even then), I recommend creating a Khan Academy account and signing in before completing any Math Gym practice. This saves your progress and avoids some bugs.
The email address you should use is the same one as your school email (mine would be [email protected] if I were a student) and the same password that you use for PowerSchool.
Click on the links (highlighted in blue or green) for a learning target practice in Khan Academy.
Learning Target Guide
***Khan and other online platforms do not have many interactive question modules for statistics, so many of these are videos that you will watch, take notes on, and then come in and show me to ask for a make-up question.
Learning Target
“I can…”
1.1 write the equation of a line in slope-intercept and point-slope form (real-life and parllel/perp to a given)
1.2 identify functions and interpret function notation
1.3a identify the domain and range of a function from an equation and graph
1.3b determine if a function is odd or even from a graph and equation and key features (where it is increasing or decreasing, relative max and min)
1.3c graph piecewise functions
1.4 graph using function transformations
1.5 evaluate function combinations (add/subtract & multiply/divide) and compositions
1.6 find the inverse function equation and graph
1.7 use technology to find the linear regression equation for a set of data, interpret the results, and assess the fit
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2.1 graph and write quadratic equations in vertex form and identify key features (max/min and zeros)
2.2 graph polynomial functions by finding their zeros and using their end behavior
2.3a factor polynomials through long division or synthetic division
2.3b use the Rational Zero/Root Test and the Factor Theorem to completely factor and graph polynomials
2.4a add/subtract and multiply and divide complex numbers
2.4b solve equations with complex answers
2.5 use the Linear Factorization Theorem to construct polynomials with given zeros and point and construct graph
2.6 identify key features of rational functions (vertical and horizontal asymptotes and roots)
2.7 graph rational functions (watch video and take notes and then complete this module)
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3.1a evaluate and graph exponential functions y = abx and compounding exponential functions
3.1b evaluate and graph exponential functions with base e (take video notes, then visit with Mr. C re:make-ups)
3.2a evaluate logarithms and go between exponential and logarithmic forms
3.2b graph logarithms and understand they are the inverse function of exponentials
3.3 use properties of logarithms to rewrite expressions
3.4 solve exponential equations using logarithms and solve logarithm equations using the definition (video)
3.5 interpret and find the exponential, logarithmic, and logistic equation from two-points and real-life data (watch the two videos linked here, take notes on them as you watch, and then show Mr. Clinch the notes and he will give you a make-up problem to complete the Math Gym) Video 1 and Video 2 (can stop video 2 after 7 mins)
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4.1a find coterminal angles and sketch angles on the unit circle given in radians
4.1b convert between degrees and radians
4.2/4.3a simplify trig values on the unit circle (without a calculator)
4.3b use trig identities to simplify expressions
4.3c use trig ratios to solve for a missing side in word problems
4.4 evaluate trig functions of any angle
4.5a identify the amplitude (from graph and equation) and period (from graph and equation) of sine and cosine functions (need to do all 4 modules for credit)
4.5b graph sine and cosine (sinusoidal) functions
4.6 graph other trig functions (watch videos for tangent function and cosecant/secant functions, take notes, and then visit with Mr. C for a make-up problem or two)
4.7a evaluate inverse trig functions
4.7b graph inverse trig functions (watch video, take notes, and visit with Mr. C for make-up problems)
4.8 use trig functions and inverse trig functions solve application questions
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5.1a prove or explain fundamental trig identities (watch video, take notes, and visit w/Mr. C about make-ups)
5.1b use fundamental trig identities to evaluate, simplify, and rewrite expressions (watch video, take notes, and visit w/Mr. C about make-ups)
5.2 verify trig identities (watch this video; he provides 8 examples, but you only need to copy the first 7, then visit with Mr.C about make-ups)
5.3 solve basic (single-step) and advanced (multi-step) trigonometric equations
5.4/5.5 use trig sum and difference, double-angle, power-reducing, half-angle, and product/sum formulas to evaluate, verify, and solve trig equations (module 1 and module 2, must do both)
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6.1 use the Law of Sines to solve triangles
6.2 solve triangles using the Law of Cosines
6.3a write vectors in component form and find their magnitude
6.3b conduct scalar multiplication algebraically and graphically
6.3c add and subtract vectors algebraically and graphically
6.3d determine the direction of vectors
6.3e break a vector down into component form and then add them
6.3f solve vector word problems
6.4 apply the dot product of two vectors to determine the angle between them and calculate work for physics examples for forces at an angle and along inclined planes
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7.1 solve systems of equations by graphing and substitution
7.2 solve systems of equations by elimination (including unique solutions) and utilize for word problems
7.3 solve systems by back substitution in Row-Echelon Form or by Gaussian Elimination to REF (watch video starting at 6:28 and ending at 10:10, copy one example and then visit with Mr. C about make-ups)
7.4a determine the dimension of a matrix and represent a system as a matrix
7.4b perform elementary row operations on a matrix
7.4c represent a system as an augmented matrix and convert to row-echelon or reduced row-echelon form to solve (watch video starting at 10:10, take notes, and visit w/Mr. C about make-ups)
7.5a add and subtract matrices, multiply matrices by a scalar and by other matrices
7.5b solve matrix equations (module 1 and module 2) and model real-life systems with matrices to solve
7.6a determine if two matrices are inverses and find inverse matrices
7.6b use inverse matrix to solve a system (watch video, take notes, and visit w/Mr. C about make-ups)
7.7 find determinant of 2x2 and 3x3 matrices
7.8a use Cramer’s Rule to solve a system of equations (watch video, take notes, and visit w/Mr. C about make-ups)
7.8b use matrices in a cryptography application to send coded messages (sorry, no Math Gym for this one)
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9.1 graph a circle in standard form and write the equation in standard form
9.2 graph an ellipse in standard form and write the equation in standard form
9.5 convert between polar coordinates and cartesian coordinates and their equations (watch video 1 and video 2, take notes over the two videos and then visit with Mr. Clinch)
9.6 graph simple polar equations by making a table (watch this video, take notes, and then visit with Mr. Clinch)
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11.1a estimate limits from the definition, from graphs, and from tables (both given and created)
11.1b find limits via direct substitution, for sum/difference, and for product/quotient
11.2a evaluate limits by factoring (dividing out) and by conjugates (rationalizing)
11.2b compare one-sided limits from graphs and tables
11.3a find the average rate of change between two points (slope of the secant line)
11.3b estimate slope of tangent line at a point graphically
11.3c find the derivative using the limit definition and equation for the tangent line at a point
11.4 evaluate limits at infinity graphically and algebraically
***Khan and other online platforms do not have many interactive question modules for statistics, so many of these are videos that you will watch, take notes on, and then come in and show me to ask for a make-up question.
Learning Target
“I can…”
1.1 write the equation of a line in slope-intercept and point-slope form (real-life and parllel/perp to a given)
1.2 identify functions and interpret function notation
1.3a identify the domain and range of a function from an equation and graph
1.3b determine if a function is odd or even from a graph and equation and key features (where it is increasing or decreasing, relative max and min)
1.3c graph piecewise functions
1.4 graph using function transformations
1.5 evaluate function combinations (add/subtract & multiply/divide) and compositions
1.6 find the inverse function equation and graph
1.7 use technology to find the linear regression equation for a set of data, interpret the results, and assess the fit
---------------------------------------------------------------------------------------------------------------------------------
2.1 graph and write quadratic equations in vertex form and identify key features (max/min and zeros)
2.2 graph polynomial functions by finding their zeros and using their end behavior
2.3a factor polynomials through long division or synthetic division
2.3b use the Rational Zero/Root Test and the Factor Theorem to completely factor and graph polynomials
2.4a add/subtract and multiply and divide complex numbers
2.4b solve equations with complex answers
2.5 use the Linear Factorization Theorem to construct polynomials with given zeros and point and construct graph
2.6 identify key features of rational functions (vertical and horizontal asymptotes and roots)
2.7 graph rational functions (watch video and take notes and then complete this module)
---------------------------------------------------------------------------------------------------------------------------------
3.1a evaluate and graph exponential functions y = abx and compounding exponential functions
3.1b evaluate and graph exponential functions with base e (take video notes, then visit with Mr. C re:make-ups)
3.2a evaluate logarithms and go between exponential and logarithmic forms
3.2b graph logarithms and understand they are the inverse function of exponentials
3.3 use properties of logarithms to rewrite expressions
3.4 solve exponential equations using logarithms and solve logarithm equations using the definition (video)
3.5 interpret and find the exponential, logarithmic, and logistic equation from two-points and real-life data (watch the two videos linked here, take notes on them as you watch, and then show Mr. Clinch the notes and he will give you a make-up problem to complete the Math Gym) Video 1 and Video 2 (can stop video 2 after 7 mins)
---------------------------------------------------------------------------------------------------------------------------------
4.1a find coterminal angles and sketch angles on the unit circle given in radians
4.1b convert between degrees and radians
4.2/4.3a simplify trig values on the unit circle (without a calculator)
4.3b use trig identities to simplify expressions
4.3c use trig ratios to solve for a missing side in word problems
4.4 evaluate trig functions of any angle
4.5a identify the amplitude (from graph and equation) and period (from graph and equation) of sine and cosine functions (need to do all 4 modules for credit)
4.5b graph sine and cosine (sinusoidal) functions
4.6 graph other trig functions (watch videos for tangent function and cosecant/secant functions, take notes, and then visit with Mr. C for a make-up problem or two)
4.7a evaluate inverse trig functions
4.7b graph inverse trig functions (watch video, take notes, and visit with Mr. C for make-up problems)
4.8 use trig functions and inverse trig functions solve application questions
---------------------------------------------------------------------------------------------------------------------------------
5.1a prove or explain fundamental trig identities (watch video, take notes, and visit w/Mr. C about make-ups)
5.1b use fundamental trig identities to evaluate, simplify, and rewrite expressions (watch video, take notes, and visit w/Mr. C about make-ups)
5.2 verify trig identities (watch this video; he provides 8 examples, but you only need to copy the first 7, then visit with Mr.C about make-ups)
5.3 solve basic (single-step) and advanced (multi-step) trigonometric equations
5.4/5.5 use trig sum and difference, double-angle, power-reducing, half-angle, and product/sum formulas to evaluate, verify, and solve trig equations (module 1 and module 2, must do both)
---------------------------------------------------------------------------------------------------------------------------------
6.1 use the Law of Sines to solve triangles
6.2 solve triangles using the Law of Cosines
6.3a write vectors in component form and find their magnitude
6.3b conduct scalar multiplication algebraically and graphically
6.3c add and subtract vectors algebraically and graphically
6.3d determine the direction of vectors
6.3e break a vector down into component form and then add them
6.3f solve vector word problems
6.4 apply the dot product of two vectors to determine the angle between them and calculate work for physics examples for forces at an angle and along inclined planes
---------------------------------------------------------------------------------------------------------------------------------
7.1 solve systems of equations by graphing and substitution
7.2 solve systems of equations by elimination (including unique solutions) and utilize for word problems
7.3 solve systems by back substitution in Row-Echelon Form or by Gaussian Elimination to REF (watch video starting at 6:28 and ending at 10:10, copy one example and then visit with Mr. C about make-ups)
7.4a determine the dimension of a matrix and represent a system as a matrix
7.4b perform elementary row operations on a matrix
7.4c represent a system as an augmented matrix and convert to row-echelon or reduced row-echelon form to solve (watch video starting at 10:10, take notes, and visit w/Mr. C about make-ups)
7.5a add and subtract matrices, multiply matrices by a scalar and by other matrices
7.5b solve matrix equations (module 1 and module 2) and model real-life systems with matrices to solve
7.6a determine if two matrices are inverses and find inverse matrices
7.6b use inverse matrix to solve a system (watch video, take notes, and visit w/Mr. C about make-ups)
7.7 find determinant of 2x2 and 3x3 matrices
7.8a use Cramer’s Rule to solve a system of equations (watch video, take notes, and visit w/Mr. C about make-ups)
7.8b use matrices in a cryptography application to send coded messages (sorry, no Math Gym for this one)
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9.1 graph a circle in standard form and write the equation in standard form
9.2 graph an ellipse in standard form and write the equation in standard form
9.5 convert between polar coordinates and cartesian coordinates and their equations (watch video 1 and video 2, take notes over the two videos and then visit with Mr. Clinch)
9.6 graph simple polar equations by making a table (watch this video, take notes, and then visit with Mr. Clinch)
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11.1a estimate limits from the definition, from graphs, and from tables (both given and created)
11.1b find limits via direct substitution, for sum/difference, and for product/quotient
11.2a evaluate limits by factoring (dividing out) and by conjugates (rationalizing)
11.2b compare one-sided limits from graphs and tables
11.3a find the average rate of change between two points (slope of the secant line)
11.3b estimate slope of tangent line at a point graphically
11.3c find the derivative using the limit definition and equation for the tangent line at a point
11.4 evaluate limits at infinity graphically and algebraically