Math Skills to keep sharp:
- Liquid Volume- the amount of space inside of a container
- Liters=L
- about the size of a jug of water or a large water bottle
- Milliliters=mL
- about the size of a drop from a dropper or a centimeter cube
- Liters=L
- Fraction number stories
- Fraction bars
- students have a booklet showing each bar split into equal parts representing fractions
- Fractions on a number line
- Number lines from 0 to 1 are split into equal parts to show fractions
- Any fraction with a numerator of 0, has a value of 0 (0/4 is 0).
- Any fraction with the same number in the numerator and denominator, has a value of 1 (4/4 is one whole).
- Number lines from 0 to 1 are split into equal parts to show fractions
- Order of Operations:
- First, do whatever is inside of the parentheses. Follow the order of operations inside as well.
- Then, multiply OR divide- whichever comes first from left to right.
- Lastly, add OR subtract- whichever comes first from left to right.
- Fractions: 1/2, 1/3, 1/4, 1/5, 1/6, 1/8
- Numerator- top number that states how many pieces
- Denominator- bottom number that states how many total pieces
- Comparing Fractions
- Example: Which fraction is larger? Which one is smaller? Are they equal?
- This depends on the size of the total. 1/2 of a large pizza pie is not equal to 1/2 of a small pizza pie. 1/2 of a large pizza pie is more than 1/4 of a large pizza pie because 1/2 is only split into 2 pieces but 1/4 is split into 4 pieces.
- Example: Which fraction is larger? Which one is smaller? Are they equal?
- Tools: Fraction bars, Fraction circles, Fraction tiles
- Multiplication strategies
- Tip- with any helper fact, make sure that the COMMON FACTOR is being added or subtracted. That is the number that is being multiplied in both facts. Example: Using 5x7 to help solve 6x7, the common factor is 7, so that is what needs to be added onto 5x7.
- Break Apart: 6x7=? Break apart one of the factors (7) into two easier parts (2 and 5). Use 2x7=14 and 5x7=35. 14+35=42, so 6x7=42.
- Near Squares: 6x7=? Use 6x6=36. 36+6
- Doubling: 6x7=? Use 3x7=21. 21+21=42. Or 21x2-42.
- Helper Fact: 6x7=? Use 5x7=35 as a helper fact. 35+7=42. 6x7=42.
- Tip- with any helper fact, make sure that the COMMON FACTOR is being added or subtracted. That is the number that is being multiplied in both facts. Example: Using 5x7 to help solve 6x7, the common factor is 7, so that is what needs to be added onto 5x7.
- Number stories
- Examples:
- Jane made 63 dollars babysitting and then spent some money on cookies. She now has 45 dollars. How much money did she spend?
- There are 4 baskets of muffins. Each basket has 7 muffins.How many muffins in all?
- There are 10 apples to be equally shared between 5 friends. How many apples does each friend get?
- Examples:
- Estimating
- We estimate by using close but easier numbers. This helps us figure out if the real answer is correct or not. If the answer is close to the estimate, then it is more likely correct. A basic understanding of about what number the answer should be, helps reduce silly mistakes. Since estimates are supposed to be a helpful way to check the answer, they should be quick and easy to solve.
- Estimate 432-205=?
- 432 is close to 400 and 205 is close to 200. 400-200=200. We now know that 432-205 needs to be close to 200. If the real answer is not close to 200, then there might be a mistake so the problem should be tried again.
- Estimate 432-205=?
- We estimate by using close but easier numbers. This helps us figure out if the real answer is correct or not. If the answer is close to the estimate, then it is more likely correct. A basic understanding of about what number the answer should be, helps reduce silly mistakes. Since estimates are supposed to be a helpful way to check the answer, they should be quick and easy to solve.
- Partial Sums
- Adding multi-digit numbers together by place value.
- Example: 245+124=?
- Adding multi-digit numbers together by place value.
40+20=60
5+4=9
300+60+9=369 so 245+124=369
- Expand and Trade Subtraction
- Subtracting multi-digit numbers that require a "trade"
- Example 432-190=?
- Subtracting multi-digit numbers that require a "trade"
432------> 400+30+2
- 190------> 100+90+0
200+40+2=242
- Bar Graph
- visual representation of data in bars (sometimes scaled to count by 2, 5, or 10)
- Picture Graph
- visual representation of data in pictures (sometimes scaled to count by 2, 5, or 10)
- Array
- visual representation of rows and columns where ever row has an equal amount and every column has an equal amount. This helps with multiplication. A 3x4 array shows 3 rows and 4 columns.
- Polygons
- any shape that has straight sides and is closed in
- Attributes
- ways of describing polygons:
- # of sides, # of vertices, # of right angles, # of pair of parallel sides, # of equal sides
- ways of describing polygons:
- Area
- The area of rectangles can be found by multiplying the base and height. It can also be found by counting the squares inside of the rectangle.
- Perimeter
- The perimeter is the border of the polygon and can be found by adding all side lengths together.
- Telling time (analog clock)
- What time is it?
- Show a time on a clock.
- Elapsed time
- If you leave your house at 8:30 and get to school at 9:05, how long did it take you to get to school?
- Mass
- If a scale is balanced and one side of the scale shows a marker and the other side shows two 1 gram weights and one 5 gram weight. How much does the marker weigh? ________grams
- gram= a paperclip
- kilogram= a water bottle
- Equal Sharing Division
- The baker made a batch of 24 cookies and wants to give them in packs of 6. How many packs can he sell from this batch?
- Fact Triangles
Sites Used in Class:
Requires login
This site is linked with our Everyday Math curriculum. You can use it to follow along with the lessons, find resources, and play practice games that we play in class. Requires login
This site is a fun and interactive way to practice math skills learned in class. Students can make their own avatar and battle other "wizards" by solving different types of math problems. Requires login
This site is a great way to help students learn and become more automatic with their multiplication facts. Knowing their multiplication facts automatically, will help them as the math concepts get more challenging. *Many students struggle with the 3, 4, 6, 7, 8 times tables. 0, 1, 2, 5, 9, 10 times tables can all be used to help them figure out the ones that they do not know. Pop Music videos for Multiplication! |
Do- Anytime Activities for Grade 3Other Online Resources:
This site includes interactive games for students to build math and literacy skills.
This site is free to play math games and includes instructional videos on each topic.
This site has many free math games. The multiplication clear it game is a great way to practice multiplication facts to become more fluent.
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