Base ten and algorithms

There are eight types of algorithms they are called expanded form, left to right, scratch, friendly numbers, partial sums/trading off, lattice and equal Addens.Examples:https://faculty.atu.edu/mfinan/2033/section12.pdfPages 2 and 3https://youtu.be/4AF7xj7pmWchttps://study.com/academy/lesson/the-lattice-method-of-addition.html

You should teach the multiplication table in 3 groups. Group 1 is ones, twos, fives, tens, elevens. Group 2 is nines, doubles, eights.Group 3 is threes, fours, sevens, and or eights. also while teaching multiplication tables the students should know the difference between 3(4) and 4(3).this indicates there are 3 groups of 4 students or there are 4 groups of 3 students.

There are three other algorithms to find your answers to your questions.There is the array model, area model, and building base ten model. your area model is similar to expanded form except you are using a rectangle shape and finding length times width for example 34×26 you would expand out your numbers and put them in a rectangle shape then multiply out 30×20 30×6 4×20 and 4×6 then you would add up your totals to get your final answer. Your array model would look like a rectangle as well except how i mentioned before about the 3(4) you would have 3 lines vertical and then crossing through those lines you would have 4 horizontal lines to get your total number of squares. To build your base ten model you would draw out your longs and label them as 10 because they are worth 10 then for any 1’s you would label as dots. Then you would add up the totals to get your final answer. https://youtu.be/lRgKavUxvKYhttps://youtu.be/MVZRD4Fa1OY

To convert from a different base such as 24 base eight and you want to convert it to base ten all you need to do is take the number 2 and that The Kates how many 10 Longs you have. Then you take the IV and that indicates how many single cubes you have. You then add the two long together each long is worth eight because that is your face then the single cubes are worth four because their singles and you have four of them your answer is 20 base 10. The Kates how many 10 longs you have. Then you take the four and that indicates how many single cubes you have. You then add the two lungs together each long is worth eight because that is your pace than the single cubes are worth for because their singles and you have four of them your answer is 20 face 10.

Flats equal 100Longs equal 10Single cubes equal 1This helps with determining place value with number Students first should be able to have 1 to 1 correspondents before teaching place value Here are some activities to help the students with base ten place blocks https://missgiraffesclass.blogspot.com/2014/08/place-value-moving-and-new-blog-design.html