92 4 = Not many of us know off the top of our head how many groups of 4 there are in the number 92.

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Presentation transcript:

92 4 = Not many of us know off the top of our head how many groups of 4 there are in the number 92.

1 4 = x 10 4 = x 100 4 = x 2 4 = x 20 4 = x 200 4 = x 3 4 = x 30 4 = x 300 4 = x

92 4 = When I divide, I like to recompose the dividend (92) into groups that the divisor (4) is friendly with.

4 = x 10 4 = x 10 4 = x 3 I know that 92 is greater than 40 so I’m going to start by taking a group of 40 out of it. I like 40 because it’s 10 groups of 4 and that’s a pretty easy fact to remember. Now I’m left with 52. I know another group of 40 can come out of that so I’ll take another 10 groups of 4 out. That leaves me with 12 and that’s a fact I know. 12 is 3 groups of 4. Now I’m going to look back over that work for my groups that are friendly with 4. I subtracted out 40 another 40 and 12. Which adds up to 92. Now I’m going to look at my recomposed 92. 40 is 10 groups of 4, same with the next 40 and finally, 12 is 3 groups of 4. So if 40 + 40 +12 equals 92, then 10 groups of 4 plus 10 groups of 4 plus 3 groups of 4 (23) says that there are 23 groups of 4 in 92.

4 = x 20 40 10 4 = x 80 20 4 = x 4 = x 3 120 30 4 = x But, what if I paid attention to my multiples? I saw that using 40 worked. What about 4 x 20. There is an 80 in 92. What about 4 x 30? 120 is greater than 92 so I’m going to try taking a group of 80 out. If I take out 80 that’s 4 groups of 20 leaving me with 12 again which I know to be 3 groups of 4. So now my dividend has been recomposed as 80 + 12. So 20 groups of 4 plus 3 groups of 4 should give me- yep 23 groups of 4 again.

68 4 = Let’s try it again with 68

4 = x 10 4 = x 5 4 = x 2 What if I don’t see that 28 is a multiple of 4? and I go an easy fact like 4 x 5 equals 20? Let’s see what happens. That leaves me with 8 which I know is 2 groups of 4. Now I’ve recomposed 68 as 40 + 20 + 8 which is 10 groups of 4 plus 5 groups of 4 plus 2 groups of 4. For a total of 17 groups of 4

71 4 = What about a number that 4 doesn’t fit evenly into?

4 = x 10 4 = x 7 Let’s recompose 71. I take out 10 groups of 4 again. I look at 31 and this time I think, oh yeah, 7 groups of 4 is 28. Which leaves me with 3 remaining. I know I can’t take a full group of 4 out of 3 without going into negative numbers. So now I’ve recomposed 71 as 40 +28+3. I know that’s 10 groups of 4 plus 7 groups of 4 plus... well, I guess I have 3 left overs (which we call a remainder hence the R) because I certainly can’t make a full group of 4 with them. So now my quotient says there are 17 groups of 4 with 3 remaining in 71.

4 x 20 = 80 The most common mistakes happen when it comes to the remainder. You may be tempted to do this: 10 plus 7 plus 3 equals 20. But we know 20 groups of 4 is 80 not 71.

3 R Remember, we’re thinking in groups of 4. 10 groups of 4 plus 7 groups of 4 and that 3 means 0 groups of 4 so that 3 is just a left over.

LearnZillion Notes: --This is the lesson conclusion. On this slide you’ll change your original lesson objective to past tense and explain what the student has just learned. You can retype it here or you can delete the text on this slide and then just copy and paste the text box from the original Lesson Objective slide and then edit it to make it past tense!

84 3 = 3 x 2 = 6 3 x 20 = 60 LearnZillion Notes: --We’ve included a second “Core Lesson” slide for you. If you don’t need this, just delete it, and if you need more you can copy and paste the entire slide or add a blank “Core Lesson” template slide by clicking on arrow below “New Slide” menu.

3 = x 20 3 = x 5 3 = x LearnZillion Notes: --We’ve included a second “Core Lesson” slide for you. If you don’t need this, just delete it, and if you need more you can copy and paste the entire slide or add a blank “Core Lesson” template slide by clicking on arrow below “New Slide” menu.

97 3 = LearnZillion Notes: --We’ve included a second “Core Lesson” slide for you. If you don’t need this, just delete it, and if you need more you can copy and paste the entire slide or add a blank “Core Lesson” template slide by clicking on arrow below “New Slide” menu.

3 = x 20 3 = x 10 3 = x 2 LearnZillion Notes: --We’ve included a second “Core Lesson” slide for you. If you don’t need this, just delete it, and if you need more you can copy and paste the entire slide or add a blank “Core Lesson” template slide by clicking on arrow below “New Slide” menu.

84 7 = LearnZillion Notes: --On the Extension Activities slide(s) you should describe 2-3 activities written with students as the audience (not teachers). Each extension activity should push the students a bit further with the lesson but in a different application or context. Each activity should be designed to take roughly 20-40 minutes. Teachers will likely display the slide in class and then assign an activity to a student or group for additional practice and differentiation. Ideally, these Extension Activities will be created such that a teacher can differentiate instruction by giving more difficult extension activities to students who have shown mastery of the lesson, and less difficult activities to students who are not yet proficient. --If you need more than one slide to list your extension activities, feel free to copy and paste this slide!

95 7 = LearnZillion Notes: --On the Extension Activities slide(s) you should describe 2-3 activities written with students as the audience (not teachers). Each extension activity should push the students a bit further with the lesson but in a different application or context. Each activity should be designed to take roughly 20-40 minutes. Teachers will likely display the slide in class and then assign an activity to a student or group for additional practice and differentiation. Ideally, these Extension Activities will be created such that a teacher can differentiate instruction by giving more difficult extension activities to students who have shown mastery of the lesson, and less difficult activities to students who are not yet proficient. --If you need more than one slide to list your extension activities, feel free to copy and paste this slide!

LearnZillion Notes: --”Quick Quiz” is an easy way to check for student understanding at the end of a lesson. On this slide, you’ll simply display 2 problems that are similar to the previous examples. That’s it! You won’t be recording a video of this slide and when teachers download the slides, they’ll direct their students through the example on their own so you don’t need to show an answer to the question.