Solving Problems Involving the Four Operations, and Identifying and Explaining Patterns in Arithmetic - Common Core: 3rd Grade Math

Each X value is multiplied by to get the Y value.

To find the rule, you may have to do some trial and error. The most important thing to remember is, once you think you have the rule, make sure to test the rule with all of the X values.

Each X value is multiplied by to get the Y value.

To find the rule, you may have to do some trial and error. The most important thing to remember is, once you think you have the rule, make sure to test the rule with all of the X values.

Each X value is multiplied by to get the Y value.

To find the rule, you may have to do some trial and error. The most important thing to remember is, once you think you have the rule, make sure to test the rule with all of the X values.

Each X value is multiplied by to get the Y value.

To find the rule, you may have to do some trial and error. The most important thing to remember is, once you think you have the rule, make sure to test the rule with all of the X values.

Each X value is multiplied by to get the Y value.

To find the rule, you may have to do some trial and error. The most important thing to remember is, once you think you have the rule, make sure to test the rule with all of the X values.

is added to each X value to get the Y value.

To find the rule, you may have to do some trial and error. The most important thing to remember is, once you think you have the rule, make sure to test the rule with all of the X values.

is added to each X value to get the Y value.

To find the rule, you may have to do some trial and error. The most important thing to remember is, once you think you have the rule, make sure to test the rule with all of the X values.

is added to each X value to get the Y value.

To find the rule, you may have to do some trial and error. The most important thing to remember is, once you think you have the rule, make sure to test the rule with all of the X values.

is added to each X value to get the Y value.

To find the rule, you may have to do some trial and error. The most important thing to remember is, once you think you have the rule, make sure to test the rule with all of the X values.

is added to each X value to get the Y value.

To find the rule, you may have to do some trial and error. The most important thing to remember is, once you think you have the rule, make sure to test the rule with all of the X values.

is added to each X value to get the Y value.

To find the rule, you may have to do some trial and error. The most important thing to remember is, once you think you have the rule, make sure to test the rule with all of the X values.

The first step in solving this problem is identifying the pattern used to create the sequence. It could be any of the four operations (addition, subtraction, multiplication, or division).

The first thing that may be noticed is that the numbers are decreasing, which would likely mean the pattern is using subtraction or division because this leads to smaller numbers in the answer rather than larger answers.

Let's focus on division first, 16÷____=12 would be the first step to see if division is the pattern being used. There is no whole number that would give 12 as the quotient to this problem, so with that, we can eliminate division.

This leaves us with subtraction. 16-___=12 reveals that 4 can be subtracted to make 12. To see if the pattern holds, we can try it with 12-___=8 and 4 works again. This means that the rule is to subtract each number by 4 to reveal the next number in the sequence.

8-4=4 so the missing number in the sequence is 4.

The first step in solving this problem is identifying the pattern used to create the sequence. It could be any of the four operations (addition, subtraction, multiplication, or division).

The first thing that may be noticed is that the numbers are increasing, which would likely mean the pattern is using addition or multiplication because this leads to larger numbers in the answer rather than smaller answers.

Let's focus on multiplication first, 1x____=5 would be the first step to see if multiplication is the pattern being used. 1x5=5, so this could be our pattern. We must try the rule again with the next digit to see if it follows in sequence. 5x5=25, which is larger than the last number (13) in the series, so multiplication is not the operation used. We can eliminate multiplication.

This leaves us with addition. 1+___=5 reveals that 4 can be added to make 5. To see if the pattern holds, we can try it with 5+4=9 and then use the sum from the attempted pattern to try and make 13. 9+4=13, so we see that 4 works again. This means that the rule is to add each number by 4 to reveal the next number in the sequence.

The missing number in the sequence is 9.

The first step in solving this problem is identifying the pattern used to create the sequence. It could be any of the four operations (addition, subtraction, multiplication, or division).

Something that may be noticed is that the numbers are decreasing, which would likely mean the pattern is using subtraction or division because this leads to smaller numbers in the answer rather than larger solutions.

Let’s focus on subtraction first, 500-____=100 would be the way to identify the difference between the two numbers and a possible rule. 500-400=100, so the next term would need to be subtracted by 400 to make this rule accurate. 100-400 is NOT 20, so subtraction cannot be the pattern.

This leaves us with division. 500÷___=100 reveals that 5 can be inserted into the blank to make 100. 500÷5=100 is true. To see if the pattern holds, we can try it with 100÷5=20, and it works again. The final test is with the last number in the sequence, 20÷5=4, so the rule holds. Dividing by 5 will get the next term in the series.

The rule is to divide each term by 5.

To solve this problem, we first have to find our unknowns. Our unknowns are the number of ropes and stuffed animals that Spot has. We can set up equations for these unknowns by letting represent ropes and represent stuffed animals.

because he has more stuffed animals than his balls.

because double means times more.

Now we need to add up our number of balls, stuffed animals and ropes to find our total.

To solve this problem, we first have to find our unknowns. Our unknowns are the number of ropes and stuffed animals that Spot has. We can set up equations for these unknowns by letting represent ropes and represent stuffed animals.

because he has more stuffed animals than his balls.

because he has five times as many ropes as his balls.

Now we need to add up our number of balls, stuffed animals and ropes to find our total.

To solve this problem, we first have to find our unknowns. Our unknowns are the number of beads she will have by the end of the summer and the number of beads each of her friends will receive. We can set up equations for these unknowns by letting represent the beads that she has at the end of the summer and represent the number of beads each of her friends will receive.

because she gets more beads by the end of the summer.

because she is splitting up her total amount of beads between friends. When you split something up evenly you divide.

To solve this problem, we first have to find our unknowns. Our unknowns are the number of beads she will have by the end of the summer and the number of beads each of her friends will receive. We can set up equations for these unknowns by letting represent the beads that she has at the end of the summer and represent the number of beads each of her friends will receive.

because she gets more beads by the end of the summer.

because she is splitting up her total amount of beads between friends. When you split something up evenly you divide.

To solve this problem, we first have to find our unknowns. Our unknowns are the number of flyers that she hung on the west side of the building and the number of flyers she has left over. We can set up equations for these unknowns by letting represent the flyers she hung on the west side and represent the flyers that she has left.

because she hung half as many flyers on the west side as she hung on the east side. When we half something we always divide by .

To find the total number of flyers that she hung we add the amount of flyers on the east side and the amount on the west side.

To find how many flyers she has left, we subtract that total flyers that were hung from the flyers that she started with.