tag:blogger.com,1999:blog-54923457624680109312022-01-15T18:33:56.708-08:00Mitchell's MathematiciansFollow my journey through upper elementary and junior high mathematics instruction.Mitchell's Mathematicianshttp://www.blogger.com/profile/14738524723031879564noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-5492345762468010931.post-51733437007225340532019-07-27T15:25:00.000-07:002019-07-27T15:28:31.857-07:00Factors and Multiples: My First Unit in 6th Grade Math<div style="text-align: center;">As I begin to prepare for back to school, I am reminded that teaching <b>factors and multiples</b> at the beginning of the year aids in teaching future units.</div><h2 style="text-align: center;">Check Out How I Have Organized My First Unit in 6th Grade Math.</h2><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-DnwgBPMqIfg/XTxq1yBwMUI/AAAAAAAADaE/kqENwUIlGqsnBi3ie1Abr8jAufdatN1ZACLcBGAs/s1600/Slide1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="Students sitting in front of laptops working on an assignment." border="0" data-original-height="750" data-original-width="1499" src="https://1.bp.blogspot.com/-DnwgBPMqIfg/XTxq1yBwMUI/AAAAAAAADaE/kqENwUIlGqsnBi3ie1Abr8jAufdatN1ZACLcBGAs/s1600/Slide1.png" title="As you begin to prepare your lessons for back to school, consider teaching factors and multiples first in your 6th grade math class. #6thgrademath #backtoschoolmathunit #factorsandmultiples #usinggoogle" /></a></div><h3>Chapter 1: Factors and Multiples</h3><div>In my first chapter, I start by talk to my students about factors and factor pairs. I show them how to find all the factors of a number by finding factor pairs using a factor rainbow. This leads to a conversation about prime. composite, and square numbers. By looking at all the factors of a number, students can identify if that number is prime, composite, square, or a combination of these. Finally, in chapter 1, I introduce multiples.</div><h3>Chapter 2: Common Factors and Common Multiples</h3><div>In chapter two, I take the students knowledge from factors and multiples, and start discussing common factors and common multiples. I start with common factors and discuss that the number 1 is ALWAYS a common factor of any two numbers. I also have the students start thinking about how they will use these concepts in the real world. I show them that common factors are used to solve "sharing problems". I then move on to common multiples and we discuss how to find common multiples. I also show them that common multiples are used to solve "cycle" problems or problems that involve repetition. Part of this chapter involves word problems for my students to practice these skills.</div><h3>Mid-Unit Quiz</h3><div>Here is where I check my students progress so far in this unit. I give my students a quiz review to complete and then I give them a quiz that I use to assess my students.</div><h3>Chapter 3: Prime Factorization, Distributive Property, and Order of Operations</h3><div>Chapter 3 is where I start to introduce some new topics. First, I introduce prime factorization. I show my students that by using factor pairs, they can reduce a number down to a factor string of only prime numbers. This is where I introduce short hand notation and exponents. Here is a link to my <a href="https://www.teacherspayteachers.com/Product/6th-Grade-Math-Curriculum-Prime-Factorization-using-Google-FREEBIE-3281826?utm_source=My%20Blog&utm_campaign=%22My%20First%20Unit%20in%206th%20Grade%20Math%22%20Freebie" target="_blank"><span style="color: #274e13; font-size: large;"><b>FREE prime factorization lesson</b></span></a>. </div><div><br /></div><div>I then move on to the distributive property. I introduce this by having students discover that there are two ways to find the area of a big rectangle when it is created by two smaller rectangles. </div><div><br /></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/6th-Grade-Math-Distributive-Property-GCF-LCM-and-More-Unit-One-using-Google-3234931?utm_source=My%20Blog&utm_campaign=%226th%20Grade%20Math%20Unit%201%22%20Picture%20of%20Lesson%203.2%20Notes" target="_blank"><img alt="A copy on the notes I use when teaching the distributive property to my students." border="0" data-original-height="714" data-original-width="1321" src="https://1.bp.blogspot.com/-DwS5UkCm2I8/XTzEb0pIc9I/AAAAAAAADaw/bafktnwU5Rwa6zx7aKxWxuervNbcS_JcACLcBGAs/s1600/Screen%2BShot%2B2019-07-27%2Bat%2B5.37.58%2BPM.png" title="As you begin to prepare your lessons for back to school, consider teaching factors, multiples, and the distributive property first in your 6th grade math class. #6thgrademath #backtoschoolmathunit #factorsandmultiples #usinggoogle" /></a></div><br /></div><div><br /></div><div><span style="caret-color: rgb(0, 0, 255);">I end this unit by teaching order of operations which includes parentheses and exponents. I also give my students a couple of pages of word problems to help them discover which operation they should use when solving story problems.</span></div><h3><span style="caret-color: rgb(0, 0, 255);">Unit Test</span></h3><div><span style="caret-color: rgb(0, 0, 255);">Here is where I take a final assessment over my entire unit. </span></div><h3><span style="caret-color: rgb(0, 0, 255);">In Conclusion</span></h3><div>This unit has three chapters. Each chapter has between 3-4 lesson in it. My lessons include notes and practice worksheet that concentrate on a particular topic or standard. This unit has a quiz review and a quiz that covers the first two chapters and a test that covers the entire unit. Answer keys are included! If you want to check out my first unit click on <a href="https://www.teacherspayteachers.com/Product/6th-Grade-Math-Distributive-Property-GCF-LCM-and-More-Unit-One-using-Google-3234931?utm_source=My%20Blog&utm_campaign=%22My%20First%20Unit%20in%206th%20Grade%20Math%22%20Unit%201%20Google%20version" target="_blank"><b><span style="color: orange; font-size: large;">GOOGLE</span></b></a> or<span style="color: blue;"> </span><a href="https://www.teacherspayteachers.com/Product/6th-Grade-Math-Distributive-Property-GCF-LCM-and-More-Curriculum-Unit-One-3231833?utm_source=My%20Blog&utm_campaign=%22My%20First%20Unit%20in%206th%20Grade%20Math%22%20Unit%201%20PDF%20version" style="color: blue; font-size: x-large; font-weight: bold;" target="_blank"><span style="color: blue;">PDF</span></a>. I have created it in two different versions to suit your needs.</div><div><br /></div><div>I have also created an ENTIRE curriculum for 6th grade math. I have made this in two versions as well. If you are interested in looking at the entire 6th grade curriculum click on the <b style="font-size: x-large;"><a href="https://www.teacherspayteachers.com/Product/6th-Grade-Math-Curriculum-Bundle-Common-Core-Aligned-Using-Google-3299063?utm_source=My%20Blog&utm_campaign=%22My%20First%20Unit%20in%206th%20Grade%20Math%22%20Entire%206th%20Grade%20Curriculum" target="_blank"><span style="color: orange;">GOOGLE version</span></a><span style="color: orange;"> </span></b>or the<b style="color: orange; font-size: x-large;"> </b><b style="caret-color: rgb(0, 0, 255);"><a href="https://www.teacherspayteachers.com/Product/6th-Grade-Math-Curriculum-Bundle-Common-Core-Aligned-3298506?utm_source=My%20Blog&utm_campaign=%22My%20First%20Unit%20in%206th%20Grade%20Math%22%20Entire%206th%20Grade%20Curriculum%20PDF%20version" target="_blank"><span style="color: blue; font-size: large;">PDF version</span></a></b>. </div><div><br /></div><div>For the Google versions, I assign the lessons with my students using Google Classroom. I have put text boxes on the Google Slides to make it easier for my students to type their answers. I have also made them 8.5x11 so they can easily be printed off as well. Here are <a href="https://www.mitchellsmathematicians.com/2019/07/3-reasons-why-i-love-using-google-in.html" target="_blank"><b><span style="color: #274e13;"><span style="font-size: large;">3 reasons why I love using Google in my math classroom</span></span></b></a>. </div><div><br /></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/6th-Grade-Math-Curriculum-Bundle-Common-Core-Aligned-Using-Google-3299063?utm_source=My%20Blog&utm_campaign=%226th%20Grade%20Math%20Unit%201%22%20Pin%20at%20the%20bottom%20of%20the%20blog" target="_blank"><img alt="A pinterest pin that says factors and multiples: my first unit in 6th grade at the top and a picture of students at the bottom." border="0" data-original-height="1600" data-original-width="1067" src="https://1.bp.blogspot.com/-0gNI6KoWZu0/XTzDAMvxSLI/AAAAAAAADak/r6Ep3XmGAi8ssa4oEwEZtjGYa2ozZ54fQCLcBGAs/s1600/Slide4.png" title="As you begin to prepare your lessons for back to school, consider teaching factors and multiples first in your 6th grade math class. #6thgrademath #backtoschoolmathunit #factorsandmultiples #usinggoogle" /></a></div><br /></div>Mitchell's Mathematicianshttp://www.blogger.com/profile/14738524723031879564noreply@blogger.com0tag:blogger.com,1999:blog-5492345762468010931.post-18353778595386351532019-07-26T09:00:00.000-07:002019-07-26T15:55:18.275-07:003 Reasons Why I Love Using Google In The Classroom for Math<div class="separator" style="clear: both; text-align: left;">After 20+ years of teaching, I have found that <b>using Google in the classroom</b> has many benefits. It has been a game changer for me as a teacher and for my students! </div><h2 style="text-align: center;">Here are my top 3 reasons why I love using Google in the classroom.</h2><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-FsnXBm3Pebg/XTosZ8rx09I/AAAAAAAADUQ/oqoVRk5ERTIGFlIJmG6fk1Tfy2QElVdcgCLcBGAs/s1600/Slide1%2B2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="Two students collaborating on an assignment while looking at a laptop computer." border="0" data-original-height="800" data-original-width="1600" src="https://1.bp.blogspot.com/-FsnXBm3Pebg/XTosZ8rx09I/AAAAAAAADUQ/oqoVRk5ERTIGFlIJmG6fk1Tfy2QElVdcgCLcBGAs/s1600/Slide1%2B2.png" title="Are you looking to incorporate Google into your classroom? Yes, even math classes can use technology to enhance student learning. Here are three reasons why I love using Google in the classroom. #6thgrademath #7thgrademath #usinggoogleintheclassroom" /></a></div>As a disclaimer, I teach 6th and 7th grade math in a junior high school. I use Google Classroom to share the assignments that I want my students to complete.<br /><h3>1. Student Access</h3><div>When I use Google in my classroom, students have access to all of my notes, practice worksheets, and quiz reviews anywhere they have wifi. This allows students that are absent to make up their work, especially the students that are absent for multiple days in a row. Using Google in the classroom also allows students that are going on vacation to have the notes and their work while they are gone. No more preparing work ahead of time for these students or playing "catch-up". My students have told me that they love to be able to look back at the notes while they are doing their homework and parents have stated that it is a huge benefit when trying to help their sons or daughters. The biggest plus for my students is there is not a text book to carry to class, or home, for homework. The bonus for me as a teacher is I don't have to check books in and out, worry about condition when they are returned, or have to deal with not having enough books for my ever-growing class sizes. You can take a look at my <a href="https://www.teacherspayteachers.com/Product/6th-Grade-Math-Curriculum-Prime-Factorization-using-Google-FREEBIE-3281826?utm_source=My%20Blog&utm_campaign=Using%20Google%20in%20the%20Classroom%206th%20grade%20Freebie%20Prime%20Factorization" target="_blank"><b><span style="color: #274e13; font-size: large;">FREE prime factorization lesson</span></b></a> to get a better understanding of what my students can see. The teacher copy gives you access to the answer key as well.</div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/6th-Grade-Math-Curriculum-Prime-Factorization-using-Google-FREEBIE-3281826?utm_source=My%20Blog&utm_campaign=Using%20Google%20in%20the%20Classroom%20Unit%201%20Freebie%20student%20view%20picture%20link" target="_blank"><img alt="This is a copy of a page of notes on Google slides. It shows how students can write prime factorization in short hand notation." border="0" data-original-height="714" data-original-width="1323" src="https://1.bp.blogspot.com/-wKx1bQZ3d5s/XTpMRz1bOiI/AAAAAAAADUg/UrqBXYfaXqsB4gijcBW_HrZqARme3WYYACLcBGAs/s1600/Screen%2BShot%2B2019-07-25%2Bat%2B8.37.43%2BPM.png" title="Are you looking to incorporate Google into your classroom? Yes, even math classes can use technology to enhance student learning. Here are three reasons why I love using Google in the classroom. #6thgrademath #7thgrademath #usinggoogleintheclassroom" /></a></div><div><br /></div><h3>2. Students Stay Organized</h3><div>For one reason or another, just like adults, students have trouble staying organized. When I share an assignment with my students using Google Classroom, all of their assignments are in one place. Google also makes a copy of their assignments and puts it into a folder in the students' Google Drive automatically. Using Google in the classroom prevents students from losing their homework. It also prevents parents from having to drive their students back to school because they forgot supplies. Again, students have access to their notes, practice worksheets, and quiz review from anywhere they have wifi.</div><h3>3. Keeping Track of My Students</h3><div>Using Google in the classroom makes it easy to keep track of your students from any computer. I frequently walk around the room and ask probing questions about the assignments my students are working on. However, it is sometimes difficult to get students to talk about their work. Using Google in the classroom allows you, as a teacher, to see how your students are doing in "real time". You can leave comments about students' work and only they can see it. You can point out mistakes by having them check a particular problem, motivate a student to keep working because they are doing "AWESOME", or encourage students that are working in groups to work more and talk less. </div><div><br /></div><div>You can even see how your students are doing if you (or they) are at home. Several times I have had to stay home with a sick child. I assigned my students their assignment from home. My students would log into their Google Classroom accounts and they could immediately see the notes and practice pages that I wanted them to complete. I could even give strict instructions on things like working in groups, using calculators, or assignment due dates. I have also logged in while I was at home and checked to see how my students were doing. As stated before, I could give them immediate feedback even though I was not in class.</div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/6th-Grade-Math-Curriculum-Prime-Factorization-using-Google-FREEBIE-3281826?utm_source=My%20Blog&utm_campaign=%22Using%20Google%20in%20the%20Classroom%22%20Unit%201%20Freebie%20comment%20picture%20link" target="_blank"><img alt="This is a pictures of a Google Classroom assignment. It has an arrow to show where you could type comments to your students." border="0" data-original-height="843" data-original-width="1499" src="https://1.bp.blogspot.com/-L-mFV7joPTc/XTpWDKS9zoI/AAAAAAAADUs/uBgfC3_8MwsGozeRYNRvbfc4Ytv9DQJcgCLcBGAs/s1600/Slide1.png" title="Are you looking to incorporate Google into your classroom? Yes, even math classes can use technology to enhance student learning. Here are three reasons why I love using Google in the classroom. #6thgrademath #7thgrademath #usinggoogleintheclassroom" /></a></div><div><br /></div><h3>Helpful Tips</h3><div><ul><li>Using Google in the Classroom has been a game changer! </li><li>I have created all of my Google slides 8.5x11. This way I can print them off for my students or my students can print them at home.</li><li>I have created text boxes on the Google Slides so my students just have to type their work and/or answers as they complete their assignments.</li></ul><br /><ul></ul></div><div>If you are looking for math lessons to share with you 6th or 7th grade students, here are the curriculums that I use in my classroom. <b><span style="color: orange; font-size: large;"><a href="https://www.teacherspayteachers.com/Store/Mitchells-Mathematicians/Category/6th-Grade-Google-Unit-Plans-300025?utm_source=My%20Blog&utm_campaign=Using%20Google%20in%20the%20Classroom%206th%20grade%20Google%20custom%20category" style="color: orange;" target="_blank">6th Grade</a><span style="color: orange;">. </span><a href="https://www.teacherspayteachers.com/Store/Mitchells-Mathematicians/Category/7th-Grade-Google-Unit-Plans-338404?utm_source=My%20Blog&utm_campaign=Using%20Google%20in%20the%20Classroom%207th%20grade%20Google%20custom%20category" style="color: orange;" target="_blank"><span style="color: blue;">7th Grade</span></a><span style="color: blue;">.</span></span></b><br /><b><span style="color: orange; font-size: large;"><span style="color: blue;"><br /></span></span></b><b><span style="color: orange; font-size: large;"><span style="color: blue;"><br /></span></span></b></div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.teacherspayteachers.com/Product/6th-Grade-Math-Curriculum-Bundle-Common-Core-Aligned-Using-Google-3299063?utm_source=My%20Blog&utm_campaign=Using%20Google%20in%20the%20Classroom%206th%20grade%20curriculum%20pin%20at%20the%20bottom%20of%20the%20blog" target="_blank"><img alt="This is a pictures with the caption "3 Reasons why I Use Google In My Math Classroom" " border="0" data-original-height="1600" data-original-width="1067" src="https://1.bp.blogspot.com/-bLwoQt4_JEM/XTpaZlZo23I/AAAAAAAADU4/SbyAZeKoNgwFn4DZ02jbjxzafMll6vi3wCLcBGAs/s1600/Slide1%2B3.png" title="Are you looking to incorporate Google into your classroom? Yes, even math classes can use technology to enhance student learning. Here are three reasons why I love using Google in the classroom. #6thgrademath #7thgrademath #usinggoogleintheclassroom" /></a></div><div><span style="color: blue; font-size: large;"><br /></span></div>Mitchell's Mathematicianshttp://www.blogger.com/profile/14738524723031879564noreply@blogger.com1