MATHguide

These word problems will elicit systems of equations for students to solve. The file includes an opener, three examples, a work sheet, and an answer key.

Examples, problems, solutions, and web resources are provided. Students are asked to translate word problems into systems of inequalities and profit functions (objective functions). Online resources are included for differentiation, asynchronous learning, learning for those who miss classes due to absences.

This activity is about teams of two students solving eight basic level linear programming problems from start to finish, which includes converting words to inequalities, graphing linear inequalities, finding points of intersection with lines, determining the feasible region, calculating profit at each vertex of the feasible region, and reporting the maximum profit. This activity makes available access to six instructional videos that detail the processes of solving linear programming problems.

This activity asks students to 1) provide reasons for all the steps of a verification problem and 2) solve several trigonometric equations by filling in empty space. This activity provides the necessary structure for accomplishing these types of problems. There is also access to numerous instructional videos and interactive quizzes. The activity as well as the interactive quizzes can be useful for openers/closers (bell-ringers).

Students have to match tiles. Content contains systems of linear equations, matrices, slope, parallel, perpendicular, and graphing lines. Students have to solve systems of equations, convert systems of equations into matrix equations, manipulate equations of a line, determine the slope of a line, ...

Students are to be placed into teams, possibly 3 – 4 students/team. Students are to match functions with their domains/ranges, horizontal/vertical asymptotes, and graphs. It is suggested that students use more than a single period to perform these tasks. The teacher is able to use less functions or not all the columns. By shrinking either the number of functions or not using certain characteristics (like domain/range or asymptotes), the assignment can be made to fit within an entire class pe

This discovery activity allows students to construct their own knowledge with translations of functions, namely quadratic and cubic functions. This is a guided activity best coupled within a cooperative learning environment.

This worksheet includes guided notes that contains a graphic organizer. To calculate the total surface are of these cones, students have to first use the Pythagorean Theorem to calculate the slant height.

This addresses how to use a profit function (a two-variable objective function) within the broader context of linear programming. It has students practice converting feasible regions into systems of inequalities, finding vertices of feasible regions, and using profit functions to determine maximum profit values. A partial answer key is made available as well as access to six instructional videos that tackle all the steps with linear programming problems.

This MATHguide resource contains access to a lesson and two interactive quizmasters. The lesson requires the teacher to go over one or two class examples, using Socratic questioning techniques. Then, students will use one interactive quizmaster related to the gas laws to do two problems. Next, students choose four different science areas to get their next four problems. The MATHguide quizmasters will check students for accuracy and allow them to change their solutions. The website checks th

This packet contains tips, examples, partially filled examples, a worksheet (including guided practice problems), and a solution set. Students see how conjugates are used to handle division problems that involve complex numbers. Access to an online video is provided, too.

This set of activities is designed to prepare students for the multiple steps and rigors of linear programming. Example regions are provided for the teacher and student pairs. Also a worksheet is also provided.

This activity allows groups of students to work on logarithm and exponents problems. The activity is timed and it encourages students to dialogue regarding the steps needed to solve problems. Log expansion/contraction, half-life, and solving equations with variable exponents are included. Free online resources are also made available from www.MATHguide.com.

This document contains guided notes for matrix equations. It contains fill-in-the-blank sections, which research shows helps students learn. The critical nature of using inverse matrices on the correct side of the equation demands that students receive assistance via guided notes with this topic.

Within the context of systems of equations, matrix operations are handled. Systems of equations, equations of lines, and manipulation of linear equations are targeted. Parallel and perpendicular lines are also included, as well as the point-slope formula.

This online learning opportunity provides a matching system to assist students who are learning how to simplify trigonometric expressions. When students believe they are correct, they use the online interface at MATHguide.com to check their solutions. Students are able to use their cell phones to access the interface. The MATHguide.com interface provides the answer key.

This packet contains an opener, an example with which the teacher can use, and an exercise sheet to solve inequalities by method of graphing. The graphs involve absolute value and quadratic functions. The packet includes access to math videos for flipped or differentiated learning.

This packet addresses solving proportional inequalities or rational inequalities. There is a brief activity, two examples, and a worksheet.

This activity has students match graphs with functions. Students determine domain, asymptotes, end behavior, and behavior at x-values that are vertical asymptotes (values exclusive to the domain). Access to a video and a dynamic quizmaster is made available to the teacher and the students. To stretch learning and gain higher order thinking, the material includes three challenge problems. Students are given clues and have to sketch a rational function.

This packet contains a class opener (review of factoring), and alternative online MATHguide opener lesson/quiz, examples, and a worksheet. This packet includes access to an online instructional video and interactive quiz from MATHguide, which can be used for a flipped classroom and/or differentiated learning.