Practical Algebra Resources

direct variation inverse variation joint variation combined variation definitions and practice problems for each

Guided notes for domain and range (discrete) with example problems. The design was for all students to answer on whiteboards, but you could easily switch up as necessary to fit your classes needs.

Guided notes or practice for multiplying and dividing polynomials - it has boxes set up for box method, but I always show students box method and FOIL method for multiplying. For dividing I show long division as well as "reverse box method".

this is a "real world" application exam for exponential and logarithmic. I use as the second half with my easier exponential and logarithmic multiple choice exam. This has a bomb that spreads radiation exponentially and the second part of the test deals with calculating radioactive decay to come back to the city after the bomb hits.

1. Exponential Functions (graphing, real world) 2. Logarithmic Functions (graphing, real world) 3. Polynomials (add, subtract, multiply, divide long division, divide synthetic, GCF, factoring when a=1, factoring by grouping, sum and difference of cubes) 4. Simplifying radicals See preview for what review looks like

TI 83 or TI 84 steps for matrices step-by-step

The project explores buying different priced houses with different interest rates to explore how exponential functions affect real world total amounts paid. The second portion explores buying a new car. Each car has a different depreciation value and students explore exponential decay by analyzing the depreciation of a car's value over time.

Students will graph the cubic parent function. Then, students will graph a variety of transformations to discover and formulate transformations rules of cubic functions.

students will graph square root parent function and subsequent transformations, then formulate transformation rules introduction to square root functions

Investigation of quadratic transformations - students graph quadratics in vertex form to investigate and formulate rules for vertex form transformations

Students will graph the exponential parent function and then a series of changes that will allow them to discover and formulate rules for transformations of exponential functions.

This is a two part exam. The first 10 questions are best aligned with algebra 1 or basic quadratics. The rest of the exam is more difficult and open-minded. The second half is aligned to IB exams.

exam or quiz for converting and solving exponential and logarithmic functions

guided notes, fill in the blank, frayer model notes

has positive, negative, zero, and undefined slope, calculating slope from graphs/tables, and more

Pictures of linear regression step by step guided

Students will graph different reciprocal and rational functions and discover/ formulate transformation rules They also have some great guided notes at the beginning

Students will graph the parent function for cube roots. Then, they will graph a series of transformations that will allow them to discover and formulate rules for cube root transformations.

domain and range real world worksheet with steps (can be deleted or added to for differentiation)

calculating slope, graphing lines, writing equations from lines, etc.