explore the historical context of trigonometry as motion of celestial bodies in a presumed circular arc, describe the position of an object along a line of sight in the context of circular motion, understand the naming of the quadrants, examples and step by step solutions, Common Core Algebra II

Continue reading "The Motion of the Moon, Sun, and Stars—Motivating Mathematics (examples, videos)"

CIE Nov 2021 9709 Pure Maths Paper 1, Past Papers, 9709/12, Mark Scheme, step by step solutions

Continue reading "CIE Oct/Nov 2021 9709 Pure Maths Paper 12"

model and graph two functions given by the location of a passenger car on a Ferris wheel as it is rotated a number of degrees about the origin from an initial reference position, examples and step by step solutions, Common Core Algebra II

Continue reading "The Height and Co-Height Functions of a Ferris Wheel (examples, videos)"

ACT Prep Guide Practice Tests 2021/2022 Math questions and step by step solutions, tips on getting a perfect 36 on the math portion of the ACT, ACT Math Help

Edexcel Jan 2021 IAL Pure Maths, Past Papers, WMA13/01, Mark Scheme, step by step solutions

Edexcel Jan 2021 IAL Pure Maths, Past Papers, WMA11/01, Mark Scheme, step by step solutions

find distances between points of a circle and a given line to represent the height above the ground of a passenger car on a Ferris wheel as it is rotated a number of degrees about the origin from an initial reference point, sketch the graph of a nonlinear relationship between variables, examples and step by step solutions, Common Core Algebra II

Continue reading "Ferris Wheels—Tracking the Height of a Passenger Car (examples, videos)"

IGCSE 2021 0610/21 May/June, Cambridge CIE Biology, Past Papers, Mark Scheme, step by step solutions, answers

IGCSE 2021 0610/22 May/June, Cambridge CIE Biology, Past Papers, Mark Scheme, step by step solutions, answers

IGCSE 2021 0610/22 Feb/Mar, Cambridge CIE Biology, Past Papers, Mark Scheme, step by step solutions, answers

IGCSE 2020 0610/21 Oct/Nov, Cambridge CIE Biology, Past Papers, Mark Scheme, step by step solutions, answers

understand the Fundamental Theorem of Algebra, all polynomial expressions factor into linear terms in the realm of complex numbers, examples and step by step solutions, Common Core Algebra II

Continue reading "Fundamental Theorem of Algebra (examples, videos)"

solve quadratic equations with real coefficients that have complex solutions, extend polynomial identities to the complex numbers, difference between solutions to the equation and the x-intercepts of the graph of said equation, examples and step by step solutions, Common Core Algebra II

Continue reading "Factoring Extended to the Complex Realm (examples, videos)"

IGCSE 2020 0580/23 Nov/Dec, Cambridge CIE Mathematics, Past Papers, Mark Scheme, step by step solutions, answers

IGCSE 2020 0580/22 Nov/Dec, Cambridge CIE Mathematics, Past Papers, Mark Scheme, step by step solutions, answers

IGCSE 2020 0580/21 Nov/Dec, Cambridge CIE Mathematics, Past Papers, Mark Scheme, step by step solutions, answers

IGCSE 2020 0580/43 Oct/Nov, Cambridge CIE Mathematics, Past Papers, Mark Scheme, step by step solutions, answers

IGCSE 2020 0580/41 Oct/Nov, Cambridge CIE Mathematics, Past Papers, Mark Scheme, step by step solutions, answers

IGCSE 2020 0580/42 Oct/Nov, Cambridge CIE Mathematics, Past Papers, Mark Scheme, step by step solutions, answers

Questions, Solutions and Video Walkthroughs for Edexcel Mathematics November 2020 1MA1/3H, for GCSE maths, questions and step by step solutions and explanations.

solve quadratic equations with real coefficients that have complex solutions, recognize when the quadratic formula gives complex solutions and write them as a + bi for real numbers a and b, examples and step by step solutions, Common Core Algebra II

Continue reading "Complex Numbers as Solutions to Equations (examples, videos)"

define a complex number in the form a + bi, complex numbers share many similar properties of the real numbers, complex numbers as a superset of the real numbers, examples and step by step solutions, Common Core Algebra II

a system of equations that has no real solutions, make the appropriate geometric connections, examples and step by step solutions, Common Core Algebra II

Continue reading "No Real Number Solutions (examples, videos)"

apply the geometric transformation of dilation to show that all parabolas are similar, examples and step by step solutions, Common Core Algebra II

Continue reading "Are All Parabolas Similar? (examples, videos)"

vertex form of the equation of a parabola and how is arises from the definition of a parabola, construct a parabola, rotations, reflections, and translations, on arbitrary parabolas, examples and step by step solutions, Common Core Algebra II

Continue reading "Are All Parabolas Congruent? (examples, videos)"

Edexcel 2020 IAL Pure Maths, Past Papers, WMA13/01 Specimen, Mark Scheme, step by step solutions

Continue reading "Edexcel 2020 IAL Pure Maths WMA13/01 Specimen"

Edexcel Oct 2020 IAL Pure Maths, Past Papers, WMA11/01, Mark Scheme, step by step solutions

Edexcel Oct 2020 IAL Pure Maths, Past Papers, WMA13/01, Mark Scheme, step by step solutions

Edexcel Jan 2020 IAL Pure Maths, Past Papers, WMA13/01, Mark Scheme, step by step solutions

Edexcel Oct 2019 IAL Pure Maths, Past Papers, WMA11/01, Mark Scheme, step by step solutions

locus of points at equal distance between a point (focus) and a line (directrix), construct a parabola, algebraic techniques to derive the analytic equation of the parabola, examples and step by step solutions, Common Core Algebra II

Continue reading "The Definition of a Parabola (examples, videos)"

graphical interpretations of systems of equations, how to solve and graph a system consisting of two quadratic equations in two variables, examples and step by step solutions, Common Core Algebra II

Continue reading "Graphing Systems of Equations (examples, videos)"

systems of a linear and a quadratic equation in two variables, points at which the two graphs of the equations intersect correspond to the solutions of the system, examples and step by step solutions, Common Core Algebra II

solve linear systems in three variables algebraically, examples and step by step solutions, Common Core Algebra II

Continue reading "Linear Systems in Three Variables (examples, videos)"

solve simple radical equations and understand the possibility of extraneous solutions, role of square roots, steps taken in solving simple radical equations, examples and step by step solutions, Common Core Algebra II

Continue reading "A Focus on Square Roots (examples, videos)"

Questions, Solutions and Video Walkthroughs for Edexcel Mathematics November 2020 1MA1/1H, non-calculator paper 1, for GCSE maths, questions and step by step solutions and explanations.

Questions, Solutions and Video Walkthroughs for Edexcel Mathematics November 2020 1MA1/2H, for GCSE maths, questions and step by step solutions and explanations.

solve word problems using models that involve rational expressions, examples and step by step solutions, Common Core Algebra II

Continue reading "Word Problems Leading to Rational Equations (examples, videos)"

CIE May/June 2021 9709 Pure Maths Paper 2, Past Papers, 9709/23, Mark Scheme, step by step solutions

solve rational equations, monitoring for the creation of extraneous solutions, examples and step by step solutions, Common Core Algebra II

Continue reading "Solving Rational Equations (examples, videos)"

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.