Brian Legutko Math Store

- A page of class notes, with large font for easier viewing during presentation/lecture - 4 Worksheets (with answer keys). Click "View Preview" to see the last (and most challenging) of the four. - 4 similar 'Pop-Quizzes' (with answer keys) to assess student understanding. *Please also consider this topic in VIDEO form:"Angle Pairs, Parallel Lines" (Click to view)*Please also consider my precursor to this topic: "Angle Relationships, Common Vertex" (Click to view)*Please also consider my precur

**This project is designed for middle school students to research and create either a Microsoft PowerPoint or Google Slides presentation of a famous mathematician/scientist throughout history. The following are included in this packet: -- List of possible famous mathematicians/scientists to choose -- Full and detailed rubric -- PowerPoint / Slides Requirements (number of slides, content, etc...) -- Requirements for resources (both book and online form) -- Penalty for tardy/late or no project by

"A passenger train traveling at 45 mi/hr and a freight train traveling at 60 mi/hr are heading toward each other (on different tracks!). The trains leave at the same time from towns 420 miles apart. How long will it take, in hours, for the trains to meet?"Problems like this are called "Motion Problems", or "Rate Problems", and are quite challenging to Algebra students. This problem is a "Collision" problem, and is treated similarly (but with definite subtle differences!) to the other three ty

Student tested, teacher approved!** This contribution includes the following: - Class Notes (Two different 'sections') regarding the introduction of complex/imaginary numbers of the form a + bi. - 2-sided worksheet of practice (With detailed answer key), including how to go about graphing complex numbers similar to a standard coordinate plane.- 2 similar quizzes (With detailed answer keys) for students to be assessed as to how much they retained for this topic. Suggested partial credit is pres

Student tested, teacher approved!** This contribution includes the following: - Two pages of detailed class notes- Two worksheets (with answer keys). These 6 pages walk students through examples of whether or not a triangle can exist mathematically and geometrically via the Triangle Sum Theorem (sum of angle measurements equals 180) and Triangle Inequality Theorem (sum of every two sides must be larger than measure of the third). Note: This topic does require previous knowledge of the terms use

- A page of Class Notes regarding function and relation inverses , also including the idea of a COMPOSITE FUNCTION (A composition of inverse functions). This topic is designed to be presented after the completion of certain Algebra 1 and/or Algebra 2 topics. -- A 2-page worksheet of practice (With detailed answer key). See "View Preview" to view page one of this worksheet. **Note: For this topic, a modest to strong background knowledge of certain Algebra 1 and 2 concepts is already implied, such

"Simplifying Rational Expressions (Multiply and Divide)" 2 pages of notes, large font for easy viewing from a distance.3 similar 'Pop Quizzes' on this topic, with answer keys included. One of these Pop Quizzes is in this listing's 'Preview'."Rational Expressions: Operations (Adding and Subtracting)"2 pages of notes, large font for easy viewing from a distance.1 corresponding worksheet, with answer key included."Solving Rational Equations"1 page of notes, large font for easy viewing from a dist

- A section of Class Notes regarding graphing absolute value equations with two variables, in the format of y=a|mx+b|+c. - A section of "blank notes" for use during class, that correspond with the original notes mentioned above. -- Worksheet of practice (With detailed answer key). See "View Preview" to view this worksheet. -- 2 similar Pop-quizzes (With detailed answer keys) for students to be assessed as to how much they retained for this topic. See "View Preview" to see these two pop-quizze

-A page of notes, with accompanying worksheet and answer key, designed to show students not only the difference between 'rates' and 'ratios', but also how to convert from one to the other. The worksheet is designed with not only basic arithmetic problems but follow-up word/problem solving problems as well (Answer Key included). Student tested, teacher approved!****I have been a teacher now for over a collective 20 years, 15+ of those teaching each mathematical level in Pennsylvania schools rang

-Adding Fractions -Subtracting Fractions -Multiplying Fractions Mixed FractionsImproper Fractions-Simplifying Fractions -Converting Fractions to Decimals (and back) -Relating Percents to Fractions and Decimals This FRACTION REVIEW PACKET is a wonderful review for those students ready to begin Pre-Algebra. No calculators are intended to be used... INCLUDED: -A page of notes called "Fractions, Decimals, Percents" -A "FRACTION REVIEW" 2-sided sheet for students (see: "PREVIEW" for Page 1) to have

-- A section of Class Notes regarding the basic introduction of logarithms, along with an explanation of their graphs using inverse functions. -- A "blank page" of notes for students to fill in that correspond with the main teacher notes. -- 2-sided worksheet of practice (With detailed answer keys). See "Preview" to view one of the included worksheet sides. -- 3 similar pop-quizzes (With detailed answer keys) for students to be assessed as to how much they retained for this topic. **Note: For th

-- 2 sections class notes including introductory terms such as probability, complement, odds, and experimental probability. More advanced terminology are followed up such as compound events, dependent events, independent events, and mutually exclusive events (along with probability formulas/equations related to these advanced terms).-- 4 worksheets of practice (With detailed answer keys) of over 40 probability problems, including word problems. For example, see "Preview".-- 2 SETS of 4 similar

*Watch the video I used for years to promote this activity with my students!! For a brief introduction, click "Video Preview", or: https://youtu.be/qyUAMmuF6jU for the full video!!- 30 half-sheet bingo cards that provide an amazing review opportunity for Algebra 1 students practicing factoring their basic quadratic expressions (1 out of every 3 ball draws has a leading coefficient other than 1). These sheets also are like real bingo, in that not ever card/ball drawn is guaranteed to be on thei

- 2 pages of detailed class notes, large text and equations for far-away sight.- 3 worksheets (with answer keys). Click "View Preview" to see the first of these three introductory worksheets.These 7 pages walk students through the beginning concepts of 'Variation':- Direct Variation - Inverse Variation - Combined Variation - Joint Variation Also included are explanations regarding the terminology of the phrase "constant of variation", as well as a real world example problem: EXAMPLE: In banking

**THIS PROJECT IS ACCOMPANIED BY A 25-MINUTE VIDEO THAT ADVERTISES / DISPLAYS / HYPES THE PROJECT, ALONG WITH INTERVIEWS BY THE STUDENTS WHO CREATED THEIR PROJECTS (with hints, insight and suggestions).[Directly from the rubric sheet handed to students beforehand:] "MISSION: Greetings MATH-itect! Your goal is to create a 3-D model or poster of a historic building or any type of structure, and identify the various geometric shapes. In addition, you must also find the Area of one of your geometri

Student tested, teacher approved!** This contribution includes the following: - A page of detailed class notes- Three worksheets (with answer keys)- A 'pop quiz' (with answer key). These nine pages walk students through vertical angles, adjacent angles, finding angle measurements without protractor use, the common naming/identifying of angles, and also some algebra thrown in to find specific angle measurements for variables. NOTE: For a Video Tutorial that explains this topic to beginning/strug

· - Class Notes (2 pages) · - 2 total worksheets of practice (With detailed answer keys). See the 'preview page' for an example. Included in these worksheets are the Irrational Root Theorem and the Imaginary Root Theorem. · - 3 similar Pop quizzes (With detailed answer keys) for students to be assessed as to how much they retained for this topic. - BONUS: A "Mock Test" Practice worksheet (2 pages with Answer key) for all polynomial equation topics leading up to (and including) this sectio

-- A section of Class Notes regarding linear inequalities with two different variables and how to graph (shading). -- A "blank page" of notes for students to fill in that correspond with the main teacher notes. -- 2 worksheets of practice (With detailed answer keys). See "Preview" to view one of the included worksheets. -- 3 similar pop-quizzes (With detailed answer keys) for students to be assessed as to how much they retained for this topic. BONUS: Notes involving Solving Linear Systems of In

- A page of Class Notes regarding simplifying functions by using the four basic operations, which includes a new concept called COMPOSITE FUNCTION (A function within another separate function). This topic is designed to be presented after the completion of certain Algebra 1 and/or Algebra 2 topics. -- A 2-page worksheet of practice (With detailed answer key). See "View Preview" to view page one of this worksheet. -- BONUS: In conjunction with my previous section:"Solving Radical Equations - Ext

- Class Notes of large font size for easier viewing during presentation/lecture(Two different 'sections') for polynomial long division, synthetic division, and Remainder Theorem.- 2 worksheets of practice (With detailed answer keys), including word problems.- 2 similar Pop quizzes (With detailed answer keys) for students to be assessed as to how much they retained for this topic.- BONUS - A Quiz (With detailed answer keys) containing questions regarding this topic and polynomial identification.N