Long Division with Manipulatives

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Honeybee has been learning long division, and I wanted to demonstrate what the algorithm means by using manipulatives. Here’s What we started with: 368

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We need to break this up into groups of 4, starting with the hundreds. Since we only have 3 hundreds, we can’t make any groups of 4 hundreds, we can put a zero in the hundreds place if we like. We still have 3 hundreds left over, we will break them up into tens and combine them with whatever tens we already have.

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Now we need to figure out how many groups of 4 tens we can make out of 36 tens.

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Outstanding, 36 tens made into groups of four gives us 9 groups. We can write a 9 in the tens place, and move on to the units.

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8 units can be made into 2 groups of 4, and once again we have no remainder. We write a 2 in the units place, and we’re done with our division. Looks like this:

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He is risen

Christ the Lord is Risen Today

Death is conquered, man is free

Christ has won the victory

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Foreign Language Study

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We are being ambitious with our foreign language study this year. We are making (very slow) progress in several languages at once: Arabic (Honeybee’s lovely calligraphy is above), Mandarin, and Spanish. We are using the book Alif Baa to learn the Arabic writing system, and Total Arabic for conversation. We’ve only done the first few lessons in each so not a lot of progress to report. We also learned an Arabic alphabet song from a youtube video–we love free resources!

For Mandarin, right now we’re using the online version of My First Chinese words from Better Chinese. Honestly, this has been mostly a familiarization exercise. I would like to do more, but I know even less Mandarin than I do Arabic. We did find an audio version of the Bible in Mandarin and memorized John 1:1, which we added to our memory work rotation.

We are doing a group Spanish class with some friends, using La Clase Divertida curriculum. La Clase Divertida is a fun, light introduction to the language. Honeybee has also been working through Getting Started With Spanish, which gives an easy introduction to Spanish grammar.

Except for Spanish, I am learning right along with the kids. I enjoy language study, and I want my children to view foreign languages and cultures as more approachable than intimidating. I think I am succeeding at least in this; recently Honeybee told me she wanted to study ancient Greek, so I got her set up with Elementary Greek and she happily set to work learning the alphabet. She’s ahead of me on that one already!

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Hope and Faith

tiny kernel of hope
nourished in the barren time
awakes new growth of faith
Spring will come

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Cheesemaking

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IMG_0951adding milk to citric acid water

IMG_0953Now it’s time to heat the milk and add the renin–then let it sit to form curds

IMG_0954cutting the curds

IMG_0957heating curds in a water bath–they’re warm enough when they become stretchy

IMG_0960Fresh Mozzarella!

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Winter

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Christmas Eve

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