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Quality worksheets are hard to find for your 7th grade math students.  If you try googling 7th grade math worksheets you will likely get worksheets that are 20 fluency problems and that's it.  While fluency is important, it is definitely not everything.That's why I created these 7th grade math worksheets that are based on understanding one math concept in three different ways plus a review section.

Review: All math in seventh grade is built on previous math concepts.  Many times students need a refresher of these math concepts.  That's why I included review problems of essential concepts.

Fluency: Like I mentioned, fluency is important, but it's not everything.  These worksheets contain about 6 problems to check fluency of the math concept. 

Application:  Applying the math skill to real-world problems is essential.  Students need to be able to problem-solve and apply their skills to real-world concepts.  Every worksheet includes at least 3 real-world questions. 

Analysis: These are a variety of different type of problems.  They can be error-analysis, or creating their own problem with a specific answer.  The purpose of these problems is to check for conceptual understanding.  

If you are looking for some quality math worksheets for your 7th grade classroom you might want to check these out.  They are perfect for review, homework, and in-class work.  



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I had never even heard of Algebra tiles until my third year of teaching.  Our school invested in a bunch of Algebra tiles, and I quickly had to learn how to use them.  I tried searching the internet to understand how to use these with my students...but I couldn't find a lot of information.  So I took some time at my desk alone with my blocks and started figuring these things out...and it was like gold.  So awesome in so many ways. Suddenly integers, solving equations, simplifying expressions, factoring trinomials, and multiplying binomials made so much sense.  When I used Algebra tiles in my classroom I was able to reach all students.  They are magic! Today I am going to share with you how to use Algebra tiles to teach multiplying binomials.  

Start by reminding your students how to find the area of a rectangle.  Connect the fact that when you multiply two factors together you also are calculating the area of a rectangle with the factors as the side lengths.  Polynomials work the same way.  If you are given the factors (x + 2) and (x + 3), those are the side lengths of a rectangle, with the product as the area.  

  • Students line up the factors to represent the length and width.  
  • Students fill in the the area with blocks that are the same length and width as the blocks on the sides of the space they are trying to fill.  
  • Once the space is filled they will have a rectangle.
  • Students will see what blocks are in the area space of their rectangle, and that's the product of the binomial factors.  


If you need some activities to practice multiplying binomials in your middle school math classroom you can check out these products below.  Click on the photo for more details.  
Factoring and Multiplying Polynomials StationsFactors and Models with Algebra Tiles Task Cards


If you don't have Algebra tiles for your classroom you can use these printable ones.

Algebra Tiles Printable FREE







Calculating the area of composite figures and shapes is an important skill for middle school math students.  Some students will pick up on this skill quickly, and others will need various methods taught to them so they understand.  Read on to learn how to teach and challenge ALL OF YOUR STUDENTS to make sense of composite area. 

Review:  Review the area of triangles and rectangles.  Make sure that students understand that height and base must be perpendicular. 

Divide:  Divide the area up into different triangles and rectangles (or parallelograms).  Students will often have different ways to divide up the composite shape.  Let them divide it up differently and compare answers. 

Negative Area:  Composite area can also be determined by taking a larger area and taking away a negative area (an area that is not actually part of the composite shape).  Take a look at the image below.  To determine the area of the L-shaped blue section, a student can determine the area of the larger square (blue) and take away the away of the negative smaller square (yellow).  This method is good to at least show to students as it will be a good skill for them to understand as they progress in mathematics. 

Problem Solving:  I ALWAYS try and incorporate problem-solving into any lesson.  With composite figures, provide shapes with sides that are not marked, but can be determined by problem-solving.  Compare Figure A and Figure B below.  To determine the area of the composite figure below, most students will determine the area of the 6 x 7 rectangle and the additional triangle.  Notice in Figure A that all dimensions to determine the area of the rectangle and triangle are given.  In Figure B the height of the triangle is not as clear.  Students would have to problem solve that the perpendicular height of the triangle is 10 - 7 = 3.  This is also a way to differentiate in your classroom.  Some students may be ready to problem-solve quicker than other students, and that is ok. 



If you are looking for a fun way to practice composite area in your classroom take a look at this fun activity.  This activity includes two versions.  One version has all the measurements listed.  The other versions has missing measurements that can be determined through problem-solving.

Area of Composite Figures Activity
CLICK THE PICTURE ABOVE TO DOWNLOAD THE ACTIVITY

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Looking for an engaging activity to help your middle school math students understand pi?  This fun discovering pi activity will do the trick. The best part of this discovering pi activity is that this helps students makes sense of pi.  They will have a concrete experience that they can draw upon to help them remember the ratio of pi as the circumference to the diameter. 

Objective:  Students will discover pi as the ratio of the circumference to the diameter of a circle. 

Supplies:  String, ruler, recording sheet, and at least 10 different cylindrical objects that you can use to measure the circumference of a circle.  If you look around your classroom or house you will be able to find a lot.   I have used cans, lids, bottles, etc...

Activity:  Students will measure the circumference and diameter of 10 circles.  Students will calculate the ratio between the circumference and diameter.  

When I have done this I have put students into groups.  Usually two students will need to help with measuring.  One to hold the object, and another student to wrap the string around. 
  
Students will measure the length of the string with a ruler.  

Another student can measure the diameter of the object. 

Measurements will likely not be exact, but encourage your students to take as accurate measurements as they can.  Have them measure at least 10 different objects.  The best way to do this is to give each group a couple of objects to measure.  Set a time limit, once the time is over, everybody passes their objects to the next group.  Students will record the object (so they can keep track of what they have done), circumference, and diameter.  After everyone has recorded the measurements of at least ten objects, have them write ratios of the circumference to the  diameter.  Then have them write their answer in decimal form, (at least to the nearest thousandth) and average their ten ratios. 

To take it one step further, I had each group write their average on the board and we took the average of all of them.  I also compared the averages of all my different classes.  Students will be amazed how close this number is to pi.  



Now that your students have a conceptual understanding of pi they will also need to be fluent with using this information to determine the circumference and area of circles.  Here is a FUN ACTIVITY you can check out so your students can become fluent with area and circumference. 


CLICK THE PHOTO TO CHECK OUT THE ACTIVITY


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