lesson_1_addition.pdf | |

File Size: | 872 kb |

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## Addition

To start off the year were are going to do some basic review on addition and subtraction involving regrouping (carrying). We will introduction place value and large numbers and integrate them into our review. Larger numbers and place value will be our first unit of the grade 6 curriculum.

There are several methods to help you solve these kinds of addition problems, choose whichever works best for you. At the bottom of this page you can find a

One of the most common ways to solve addition problems is the work in columns and simply add (total up) the numbers in each place value (column). For this method we always start on the right (lowest place value) and work left. When one place value column becomes two digits (or becomes too large of a number to fit in the original place value (column) then you need to carry (regroup) that number over into the next column.

To solve a problem like this you must first line up the numbers below each other so that the same place values all align into one column. You always start with the ones column (smallest) and work your way left (largest place value).

Watch the video below to go through the steps. See the diagrams below if you would like extra help.

**Unit vocabulary and Symbols:****Sum:**This is the term given to the answer of an addition equation. If you are asked to find the sum of two numbers, you must add them together.**(Addition, Together, Plus, Make, Total)****+:**The symbol used in addition equations, it means; sum, add, plus, make, total, more**-:**This symbol is used in subtraction equations, it means; subtract, less, difference, minus**Lesson #1 Addition with regrouping of 3 or larger digit numbers. (Review)**There are several methods to help you solve these kinds of addition problems, choose whichever works best for you. At the bottom of this page you can find a

*that we will be working through in class.*__downloadable review booklet__**Addition Method:**One of the most common ways to solve addition problems is the work in columns and simply add (total up) the numbers in each place value (column). For this method we always start on the right (lowest place value) and work left. When one place value column becomes two digits (or becomes too large of a number to fit in the original place value (column) then you need to carry (regroup) that number over into the next column.

To solve a problem like this you must first line up the numbers below each other so that the same place values all align into one column. You always start with the ones column (smallest) and work your way left (largest place value).

Watch the video below to go through the steps. See the diagrams below if you would like extra help.

## Classic Column Method: 591 + 274 = 865

## Base 10 Methods (Manipulatives): 14+7=

Many people like to solve addition problems with the aid of pictures or with the aid of manipulatives (base 10 blocks). It helps to have a blank place value chart as your work space for this method.

## Pictorial Method: 5+ 2 = 7

This method works much better with smaller numbers, as it would take a lot of paper and time to draw larger number equations. For this method you simply add the drawings together by counting them all.

**Subtraction**

lesson_2_subtraction.pdf | |

File Size: | 1118 kb |

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**Lesson # 2 Subtraction with Borrowing (Regrouping)**

When subtracting numbers order matters. If you need to subtract a larger number from a smaller number in one of your columns than you need to do something called borrowing or regrouping. This is where you borrow from the next place value to the left to make your original number large enough to complete your subtraction in that column.

Like addition you should always line up your numbers by the ones place value and begin with the ones column and work left. Check out the video below for some review on subtraction, borrowing and subtraction and borrowing with zeros.

Like addition you should always line up your numbers by the ones place value and begin with the ones column and work left. Check out the video below for some review on subtraction, borrowing and subtraction and borrowing with zeros.

**Lets try a question: 639- 275 =**

**Just like addition, stack and line things up by place value into columns.. Now, we'll have a hundreds, tens and ones column to deal with:**

**As usual, the first thing to do is to subtract the ones... We don't have to do any borrowing on this one. The next step is to add the numbers in the tens column but we run into a problem there.**

**To solve this problem you'll be borrowing from the hundreds column. To do this you take 1 away from 5 and move that 1 into the tens column. This means you are adding 1 group of tens to the tens column. This gives you 13. 13 is larger than 7 so we can now subtract like normal.**

13-7= 6 so place the 6 below. The final step is to subtract the hundreds column (5-2) or 500- 200. This we can do normally.

The same process applies to questions involving subtraction with 0's. You borrow from the next place value with enough to spare to make the 0 a 10.

**Downloadable Unit Work Booklets:**

lesson_1-_addition_review.docx | |

File Size: | 74 kb |

File Type: | docx |

lesson_2-_subtraction_review.docx | |

File Size: | 60 kb |

File Type: | docx |

lesson_3-_subtraction_with_zeros.docx | |

File Size: | 51 kb |

File Type: | docx |