Jessica's Math Material

Step-by-step guide to writing numbers in scientific notation, and how to convert them from scientific notation back to standard form. Includes practice examples. Jessica

This is a 10-page document about solving equations. Each topic begins with steps of how to solve that type of equation in a solved example, followed by practice problems. The topics covered are: - parts of an equation (variable, coefficient, constant) - evaluating expressions - solving 1-step equations - solving 2-step equations - solving and checking your answer - solving equations where you must combine terms first - equations with variables on both sides. Also available in Word format, just

An colourful and animated introduction to logarithms, including converting between log and exponential forms, solving basic exponential equations, and change of base formula, log properties, worked out examples of expanding or condensing log expressions.

This is a basic guide to understanding what an exponential function is, and how to calculate the rule from a table of values and from word problems. UPDATED to include more details!!

ALSO AVAILABLE AS A WORD DOCUMENT. 9-PAGE DOCUMENT of step-by-step notes and practice problems on the following topics: Definition of exponents and their parts (base, exponent, power) Special exponents (zero, one, negative, fraction) Multiplying and dividing powers with same base Multiplying and dividing polynomials (FOIL and distribution) Adding and subtracting polynomials (LIKE terms)

ALSO AVAILABLE IN PDF FORMAT TO KEEP PAGE LAYOUT! 9-PAGE DOCUMENT of step-by-step notes and practice problems on the following topics: Definition of exponents and their parts (base, exponent, power) Special exponents (zero, one, negative, fraction) Multiplying and dividing powers with same base Multiplying and dividing polynomials (FOIL and distribution) Adding and subtracting polynomials.

Notes on the Greatest Integer Function: - definition of greatest integer - basic graph - transformed rule and graph - description of the role of parameters a, b, h, k - steps on how to graph - steps on how to find the rule from a graph - finding domain, range, sign, variation, zeros, initial value Lots of animations!

Notes with animations about the rational function: - basic and transformed rules - detailed role of each parameter - explanation of the asymptotes - how to graph - solving rational equations - finding the rule from a graph - converting from standard rule to general rule - domain, range, sign, variation

This is a formula sheet on ratios of perimeters, areas and volumes of similar solids. My students had a hard time understanding the different ways to calculate the ratios, so I made a review sheet that puts it all together for them. It really helped! Jessica Rickhaus

This is a 26-slide PowerPoint presentation with notes and solved examples (with step-by-step animations) that covers the following topics: - definition of a rational expression - finding the restrictions - simplifying - adding/subtracting with common and uncommon denominators - multiplying/dividing - solving a word problem This should be about 2 weeks worth of notes, when added to extra practice. Also, the slides are much nicer than they appear in the preview!!

Guide to understanding rational functions and how to find the rule from a table of values and word problem, and how to graph it and properties of its graph.

Notes about the transformed exponential function, including: - explanations of each parameter - how each parameter affects the graph of the function - interactive questions to test students' understanding - how to identify the properties of the function - how to solve an exponential function (using change of base) - how to find the rule from a graph - finding the rule from a word problem

This 15-slide presentation solves 4 multiple choice problems about systems of linear relations, all to be solved by looking at the graph of the system given in the problem. The presentation gives detailed steps and reasons as to which choices are/not correct by the use of animations. It also starts off by showing the meaning of a and b (in y = ax + b) on a graph, and how changing those parameters affects the graph.

1-page (legal size) quiz about special exponents (1, 0, negative, fraction) and about multiplying/dividing powers with the same base. Also, an "explain your answer IN WORDS" question at the end. Jessica

A colourful and animated presentation about the logarithmic function, including its graph when parameters ``a`` and ``b`` have different signs, converting from exponential to logarithmic function, finding domain, range, zero, initial value and sign, and finding the rule from a graph.

Notes on how to multiply and divide powers with the same base, and how to find the power of a power. Gives the rules and practice examples at the end.

A project for students involving linear, quadratic, and greatest integer functions, however it can be modified to any functions you like! Students are to make a CD/DVD/video game cover using only the above mentioned functions. I included the marking scheme that I use as a Word document, so it can be modified to your liking.

This is a 5-slide ppt that contains notes and sample examples about like terms, multiplying and dividing powers with the same base, power of a power, and exponents of 0, 1, negative and half.