Math Journeys

This file contains 3 real-world applications of rational functions. Students can take on the role of an animal scientist, an oceanographer, or a product manufacturer as they interact with rational functions and graphs. Concepts include interpreting rational functions with respect to asymptotes as well as rational function operations such as addition and subtraction. These tasks will require students to use Desmos or another graphing calculator. Answer keys are provided.

This activity contains 4 real-world applications of radical functions (both square root and nth root). Students can take on the role of a financial planner, a doctor, a scientist, and a business-person as they interact with radical equations and graphs. These tasks do require students to use Desmos or a graphing calculator for some of the graphing. Answer key is provided.

This "scavenger hunt" / "circuit" / "around-the-room" activity consists of 12 problems where students will simplify a rational expression. Their answers will lead them to another problem around the room and is self-checking as their answers will write out a specific "phrase". In order to simplify the rational expressions in this activity, students will have to know how to factor using the following methods: GCFTraditional Factoring (trinomials with a=1)Grouping (4-terms)Difference of Squares

This project is great for high school students to apply their learning about the compound interest formulas (A=P(1+r/n)^nt and A=Pe^rt). I use this in my Algebra 2: Concepts and Skills course and my students love the opportunity to shop for their own cars online and relate the math to something they are interested in. This takes my students about 2 45-minute class periods. I recommend to my students that they start with a car under $30,000 so that it will potentially be in budget to begin with.

This activity contains 3 real-world applications of logarithmic functions (each project is 2 pages). Students can take on the role of a Seismologist, an Obstetrician, or a Photographer as they interact with logarithmic equations and graphs. Some topics covered include graphing logarithmic functions, describing transformations, analyzing graphs, and solving logarithmic equations. These tasks do require students to use Desmos or a graphing calculator. Answer keys are provided.

This entire unit over Rational Functions consists of: Daily Warm-UpsAn Introductory ActivityGuided NotesSimplifying Rational ExpressionsMultiplying and Dividing Rational ExpressionsAdding and Subtracting Rational ExpressionsSolving Rational EquationsGraphing Rational Functions (transformations, asymptotes, holes)Application ProjectsSummative Assessment

This file contains two large posters and a set of smaller posters with arrows demonstrating the learning process. Poster 1 describes how math is used in careers like: budgeting and financial planning, social media, marketing, design, cooking, fitness/sports, construction, engineering, health care, travel, and sales. Poster 2 contains a list of ways that math teaches us skills needed in every day life like thinking critically and making informed decisions. On the bottom of this poster is a quot

This document contains guided notes for an entire unit on Rational Functions. These notes are intended to accompany in-person instruction or lesson videos (eLearning). As students are guided through these notes, they will be given frequent checks-for-understanding and opportunities for practice. Topics covered include: Simplifying Rational ExpressionsMultiplying and Dividing Rational ExpressionsAdding and Subtracting Rational ExpressionsFinding a least common denominatorWriting equivalent fract

To introduce students to your unit on Rational Functions, I have created two different activities that can be completed independently or as a class. The first activity has students create a business selling a product of their choice. They determine how the sale price affects the number of sales and then learn about inverse variation. As part of this activity, students will need a graphing calculator to perform a regression. I have had great results with Desmos and describe how to input the infor

This resource contains three different projects for students to apply their understanding of functions in Algebra 2. Students can choose to work in the field of agriculture, exercise science, or business. In each field, students are guided through questions pertaining to: writing and evaluating functionsdetermining if a relation is a functioninterpreting/analyzing functions in a real-world settingdomain and rangefunction composition (business example only)

This bundle contains 5 resources for a unit on Functions. These were created specifically for Algebra 2 but could be used in other math classes as well. Resources include: A collection of 13 daily warm-up/bellringer questions to prompt student thinking and discussion.A "hook" (introductory) activity to get students thinking about relations and functions in real-world settings. Students choose between 3 different scenarios and are guided through questions that ask them to describe the relationsh

In this introductory activity, students will choose one of three scenarios that describe a linear relationship. These scenarios are based on the following professions: business owner, construction worker, and veterinarian. The prompts in this activity lead students to create a table and a graph to visualize their scenario, discuss independent and dependent variables as inputs and outputs, and consider whether or not a function can have two outputs for a single input. The final page has students

This document contains guided notes for an entire Functions Unit in Algebra 2. Topics covered include: Definition of a FunctionDomain and RangeFunction Operations and CompositionOne-to-one FunctionsInverse FunctionsEven and Odd FunctionsThroughout these guided notes are practice problems for students to try on their own. These serve as a great way to check for understanding. You can use these notes to guide your direct instruction or students can work through them on their own using the lesson

This product contains 13 different warm-up/bellringer prompts to encourage discussion and mathematical reasoning during a unit on functions. Topics covered include: definition of a function, domain and range, function operations, one-to-one functions, inverse functions, even/odd functions, and more.

My students use this graphic organizer to keep their thoughts and their work organized and easy to follow when they solve systems of 3 equations with 3 variables. I've had great success with this topic because of this resource!

Students work in groups of up to 5 people and each student receives a clue about a function. They are not allowed to show their clue to anyone else. They must use mathematical language to work together and determine what function is being described by all the clues. Students must use their knowledge of parent function transformations in order to solve these. If you have less than 5 students in a group, place the remaining cards face-down in the center of the group and see how far they can get wi

This resource contains two versions of a concept quiz (or standards-based summative assessment) on functions. Version 1 is more guided/scaffolded whereas Version 2 is more open-ended. Both versions assess students' understanding of: Definition of a FunctionDomain and RangeEven vs. Odd FunctionsOne-to-one FunctionsInverse FunctionsFunction Operations and CompositionEach Concept Quiz is 2 pages in length (or one page double-sided when printed). Answer keys are provided.

This activity starts with a warm-up problem. Students are given a bank of factoring methods and examples that they need to place in the appropriate boxes of the flow chart. Once their flowchart has been set up correctly, they will solve the examples contained within it. They can then use this flowchart as a resource to help them remember and understand the different types of factoring.

This summative assessment over rational functions/expressions consists of 5 questions. Because there are so few questions, they require deeper understanding of the concepts and more explanations (or work to be shown). This "quiz" assesses student understanding of the following topics: Graphing Rational FunctionsAsymptotesHolesTransformationsDomain and RangeSimplifying Rational ExpressionsMultiplying/Dividing Rational ExpressionsAdding/Subtracting Rational ExpressionsSolving Rational EquationsDo

This file consists of 14 different questions/prompts relating to an Algebra 2 Unit on Rational Functions. Topics addressed include inverse variation, excluded values, rational function operations, graphs of rational functions, and more. These can be used as daily warm-ups or even just as critical thinking questions during a lesson.