The purpose of this wiki is not just to provide teachers with materials to hand their students or to be a compilation of useful hyperlinks - it is to give teachers insight on how to teach. With this in mind, the resources listed on this page do not link to simple "fill in the blank" exercises or worksheets because the goal of this Wiki is not to be a replacement for a particular cirricula. It is, instead, a resource center to provide insight on teaching a specific subject; inequalities in this case. If you are having a difficult time getting students to grasp a specific subject it may be useful to consider alternative teaching methods. Khan Academy and Math Vids are online teaching centers that have had great success in tutoring students. The success of these businesses is tied to the success of the students; providing simple, direct, methodical instruction and examples with a presenter stating their reasoning as they do the problems. It may be useful to model a particular classroom session to follow a similar order of teaching as is done in the video tutorials should you find yourself struggling to teach students a particular concept.

Khan Academy is a bit of an outlier in the world of teaching because it seeks to provide anyone with the content they need to teach themselves, using nothing but the computer they are sitting at. If you find yourself lost on how to teach a concept (or if you are a student confused how to learn said concept) Khan Academy has a myriad of videos teaching a wide variety of subjects that you can model a lesson after.

Math Vids is a compilation of miscellaneous teaching videos - all of which follow a more traditional style of teaching. Many of the videos feature a mock classroom with a teaching giving examples to mock students asking specific question while following a script.

Example from Cool Math (#6)

ACTIVITIES FOR SOLVING INEQUALITIES:

1. This ACTIVITY is a 10 question quiz/game that lets the students move on from easy level questions, to medium, to hard, and then to extreme questions. This activity challenges students who are more advanced while still helping students who may not have grasped the material as well. The math standard that corresponds with this activity is CCSS.MATH.CONTENT.HSA.REI.B.3.

2. Math is Fun, is a great tool for both the teacher and his or her students; examples and helpful hints for teaching inequalities are listed along side a legend containing the names, symbols, and meanings for the notation used in writing and reading inequalities. There are 10 example questions at the bottom of the page to help you and your students test their knowledge and understanding of inequalities. CCSS.MATH.CONTENT.HSA.REI.B.3.

3. Inequality BINGO ; simple games can help your students practice problems and interact with each other in ways that are conductive to learning. A safe and simple .zip file containing a Power Point with answers and a PDF Bingo sheet are made to be played immediately and require you to only provide prizes to students. The math standards that correspond with this game of bingo are CCSS.MATH.CONTENT.HSA.REI.C.6 AND CCSS.MATH.CONTENT.HSA.REI.C.7

4. The Treasure Hunt blog presents an engaging lesson for students to practice inequalities. The students try to find where the treasure is located on a map given the clues, which the students have to uncover by solving the inequalities by graphing and shading the correct corresponding regions. The answer key is found within another blog post. The high school math standards that this activity corresponds to are CCSS.MATH.CONTENT.HSA.REI.D.10 AND CCSS.MATH.CONTENT.HSA.REI.D.12.

5. A game, teachers can incorporate Cryptic Cubes. These cubes can be used for any unit, but work great for inequalities.Teachers have the power to raise the difficulty by setting certain requirements. This is a great way to take five minutes at the beginning of each class to ensure students are practicing inequalities, or a great tool as a review before the test. Depending on how you incorporate this learning tool, this resource can satisfy any of the Michigan Math Standards for Inequalities.

6. Cool Math gives students even more tools to solve inequalities by focusing on explaining what the answers mean. Almost half of the material listed on the inequalities section of Cool Math is devoted to how the number line works and how the inequalities provide a way to describe a solution of many answers over an area. Additionally, the site is devoted to explaining problems in a very deliberate step-by-step manner to help eliminate any possibility of confusion or misunderstanding. This site has tools and resources that satisfy any of the Michigan Math Standards for Inequalities.

7. Here is a fun game for students! Genius Boxing is a game were the player is put into the boxing ring with multiple of the worlds greatest mathematicians. Each student will have 15 seconds to find the relation between two of the listed quantities. Each correct answer will let you punch your opponent which every incorrect response will result the player in getting punched. Work through the levels as difficulty increases with each one and defeat all the opponents. This game can be great for students who like to visualize and game at the same time helping them learn and recognize relationships between quantities!

8. A lot like the shooting Inequalities game for graphing, the game Inequality Wars let the player control the Millennium Falcon. The player removers around asteroids to resist damage to the ships haul. At the same time the player shoot down boulders that fit into the solution set of the given inequality, which change with time and correctness. What score can you get? This activity best corresponds to the following standard CCSS.MATH.CONTENT.HSA.REI.B.3.

GRAPHING ACTIVITIES:

Similar to Treasure Hunt Activity

1. A great tool for teachers is a online resource that graphs inequalities. Students can visualize these graphs along with checking their solutions. A place for even more online graphing resources and interactive materials is through GeoGebra Tube.

2. Here is a game called Shooting Inequalities , Students are given a spaceship to control and are supplied with a random simple inequality. Students will have a few seconds to determine what the inequality solution set will look like along a graph till graph pieces start to fall from the 'sky'. Students shoot each piece that doesn't belong on their graph till the graph has been completed and they have chosen the correct interval notation for the inequality.This activity best corresponds to the following standard CCSS.MATH.CONTENT.HSA.REI.C.8.

3. A great way to get students thinking about graphing inequalities on a coordinate plane can be to use this interactive graphing tool! This tool allows students to explore the application of multiple inequalities on the solution sets of their graphs. Students can also explore the relationship between standard and point-intercept form of equations/inequalities, as the activity allows them to solve for their x and y. Students can make up their own or the teacher can use it as a teaching aid with supplied examples.
This activity best corresponds to the following standard CCSS.MATH.CONTENT.HSA.REI.D.10,CCSS.MATH.CONTENT.HSA.REI.D.11, and CCSS.MATH.CONTENT.HSA.REI.D.12

All of these activities satisfy the graphing standards of inequalities which can be found HERE. Specifically CCSS.10, CCSS.11, CCSS.12.

VIDEOS:

1.Graphing Inequalities on the Coordinate Plane This video is a good demonstration of how to graph the inequalities on the coordinate plane. It explains shading the correct side and whether you should draw your line with solid and dotted lines.

2.Compound Inequalities This video had a good explanation of how you solve both sides of compound inequalities at once.

1. Here is the complete list for inequalities at the high school level: Michigan Common Core Standards.
2. A large collection of worksheets can be found here, which span many aspects of inequalities from graphing to writing them. These can be good problems to give to students to asses their ability to complete problems previously discussed by the teacher.

Page created by Michael Jones, William DeYoung, and Joshua Conover
Paged edited by Jessica Swee, Dayle Micale, Joshua Schade, and Danielle Harrison (Winter 2015)

RESOURCES TO HELP YOU TEACH:The purpose of this wiki is not just to provide teachers with materials to hand their students or to be a compilation of useful hyperlinks - it is to give teachers insight on how to teach. With this in mind, the resources listed on this page do not link to simple "fill in the blank" exercises or worksheets because the goal of this Wiki is not to be a replacement for a particular cirricula. It is, instead, a resource center to provide insight on teaching a specific subject; inequalities in this case. If you are having a difficult time getting students to grasp a specific subject it may be useful to consider alternative teaching methods. Khan Academy and Math Vids are online teaching centers that have had great success in tutoring students. The success of these businesses is tied to the success of the students; providing simple, direct, methodical instruction and examples with a presenter stating their reasoning as they do the problems. It may be useful to model a particular classroom session to follow a similar order of teaching as is done in the video tutorials should you find yourself struggling to teach students a particular concept.

Khan Academy is a bit of an outlier in the world of teaching because it seeks to provide

anyonewith the content they need to teach themselves, using nothing but the computer they are sitting at. If you find yourself lost on how to teach a concept (or if you are a student confused how to learn said concept) Khan Academy has a myriad of videos teaching a wide variety of subjects that you can model a lesson after.Math Vids is a compilation of miscellaneous teaching videos - all of which follow a more traditional style of teaching. Many of the videos feature a mock classroom with a teaching giving examples to mock students asking specific question while following a script.

ACTIVITIES FOR SOLVING INEQUALITIES:1. This ACTIVITY is a 10 question quiz/game that lets the students move on from easy level questions, to medium, to hard, and then to extreme questions. This activity challenges students who are more advanced while still helping students who may not have grasped the material as well. The math standard that corresponds with this activity is CCSS.MATH.CONTENT.HSA.REI.B.3.

2. Math is Fun, is a great tool for both the teacher and his or her students; examples and helpful hints for teaching inequalities are listed along side a legend containing the names, symbols, and meanings for the notation used in writing and reading inequalities. There are 10 example questions at the bottom of the page to help you and your students test their knowledge and understanding of inequalities. CCSS.MATH.CONTENT.HSA.REI.B.3.

3. Inequality BINGO ; simple games can help your students practice problems and interact with each other in ways that are conductive to learning. A safe and simple .zip file containing a Power Point with answers and a PDF Bingo sheet are made to be played immediately and require you to only provide prizes to students. The math standards that correspond with this game of bingo are CCSS.MATH.CONTENT.HSA.REI.C.6 AND CCSS.MATH.CONTENT.HSA.REI.C.7

4. The Treasure Hunt blog presents an engaging lesson for students to practice inequalities. The students try to find where the treasure is located on a map given the clues, which the students have to uncover by solving the inequalities by graphing and shading the correct corresponding regions. The answer key is found within another blog post. The high school math standards that this activity corresponds to are CCSS.MATH.CONTENT.HSA.REI.D.10 AND CCSS.MATH.CONTENT.HSA.REI.D.12.

5. A game, teachers can incorporate Cryptic Cubes. These cubes can be used for any unit, but work great for inequalities.Teachers have the power to raise the difficulty by setting certain requirements. This is a great way to take five minutes at the beginning of each class to ensure students are practicing inequalities, or a great tool as a review before the test. Depending on how you incorporate this learning tool, this resource can satisfy any of the Michigan Math Standards for Inequalities.

6. Cool Math gives students even more tools to solve inequalities by focusing on explaining what the answers mean. Almost half of the material listed on the inequalities section of Cool Math is devoted to how the number line works and how the inequalities provide a way to describe a solution of many answers over an area. Additionally, the site is devoted to explaining problems in a very deliberate step-by-step manner to help eliminate any possibility of confusion or misunderstanding. This site has tools and resources that satisfy any of the Michigan Math Standards for Inequalities.

7. Here is a fun game for students! Genius Boxing is a game were the player is put into the boxing ring with multiple of the worlds greatest mathematicians. Each student will have 15 seconds to find the relation between two of the listed quantities. Each correct answer will let you punch your opponent which every incorrect response will result the player in getting punched. Work through the levels as difficulty increases with each one and defeat all the opponents. This game can be great for students who like to visualize and game at the same time helping them learn and recognize relationships between quantities!

8. A lot like the shooting Inequalities game for graphing, the game Inequality Wars let the player control the Millennium Falcon. The player removers around asteroids to resist damage to the ships haul. At the same time the player shoot down boulders that fit into the solution set of the given inequality, which change with time and correctness. What score can you get? This activity best corresponds to the following standard CCSS.MATH.CONTENT.HSA.REI.B.3.

## GRAPHING ACTIVITIES:

1. A great tool for teachers is a online resource that graphs inequalities. Students can visualize these graphs along with checking their solutions. A place for even more online graphing resources and interactive materials is through GeoGebra Tube.

2. Here is a game called Shooting Inequalities , Students are given a spaceship to control and are supplied with a random simple inequality. Students will have a few seconds to determine what the inequality solution set will look like along a graph till graph pieces start to fall from the 'sky'. Students shoot each piece that doesn't belong on their graph till the graph has been completed and they have chosen the correct interval notation for the inequality.This activity best corresponds to the following standard CCSS.MATH.CONTENT.HSA.REI.C.8.

3. A great way to get students thinking about graphing inequalities on a coordinate plane can be to use this interactive graphing tool! This tool allows students to explore the application of multiple inequalities on the solution sets of their graphs. Students can also explore the relationship between standard and point-intercept form of equations/inequalities, as the activity allows them to solve for their x and y. Students can make up their own or the teacher can use it as a teaching aid with supplied examples.

This activity best corresponds to the following standard CCSS.MATH.CONTENT.HSA.REI.D.10,CCSS.MATH.CONTENT.HSA.REI.D.11, and CCSS.MATH.CONTENT.HSA.REI.D.12

4. Mentioned above, Treasure Hunt blog also has several graphing activities ( answer key).

VIDEOS:1.Graphing Inequalities on the Coordinate Plane This video is a good demonstration of how to graph the inequalities on the coordinate plane. It explains shading the correct side and whether you should draw your line with solid and dotted lines.

2.Compound Inequalities This video had a good explanation of how you solve both sides of compound inequalities at once.

3.Grand Valley Students give a mini lesson on graphing inequalities in this video.

## EXTRAS:

1. Here is the complete list for inequalities at the high school level: Michigan Common Core Standards.

2. A large collection of worksheets can be found here, which span many aspects of inequalities from graphing to writing them. These can be good problems to give to students to asses their ability to complete problems previously discussed by the teacher.

Page created by Michael Jones, William DeYoung, and Joshua Conover

Paged edited by Jessica Swee, Dayle Micale, Joshua Schade, and Danielle Harrison (Winter 2015)