Steps to solving a Multiplication & Additon Problem:
Step 1: Look at the problem
Step 2: Identify the two multiplying numbers
Step 3: Retrieve the product from the two numbers
Step 4: Add the product and the other number to solve the problem.
By using the multiplication steps a student would be able to answer the problem as:
1. 7 x 4 + 2= 2. 3 x 7 + 8= 3. 6 x 4 + 2=
28 + 2= 30 21 + 8= 29 24 + 2= 30
When students are given a multistep word problems these same rules must be applied, but they are given more of a challenge because they must read the problem first.
Steps to solving a Multiplication & Additon Word Problem:
Step 1: Read the problem
Step 2: Identify the key words/numbers
Step 3: Identify the multiplying numbers
Step 4: Retrieve the product from the two numbers
Step 5: Add the product and the other number to solve the problem.
To solve problem #3 students would highlight important clues:
- Polly 22 marbles
- 5 bags of marbles
- 8 marbles in each bag
Once identifying that the two multiplying numbers are 5 & 8 the studet will multiply them:
5 x 8=40 marbles
Lastly the student will have to add the product (40 marbles) by 22 marbles:
40 + 22= 62 marbles
Common Core Standards:
CSS.MATH.CONTENT.5.OA.A.
Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2" as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.
CCSS.MATH.CONTENT.4.OA.A.3
Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
Hi Treniece - great post!
ReplyDeleteEven though this is a post about math and operations such as multiplication and addition, it's interesting because students need to become careful readers in order to solve problems like these! As you said in your post, some problems will require more than just multiplication, but students need to pay attention to the language that is used in the prompt to figure out what operation to use. I thought this was worth mentioning because it's nice to see that in the end, all of the subjects that students are taught in school come together somehow. With math particularly, I think it's important to be a good reader and to understand vocabulary because it can help you set up a math problem in the correct way.
Just as an example -- I pulled out the first two steps you included below:
Step 1: Read the problem
Step 2: Identify the key words/numbers
Both require the student to really understand the meaning of the words being used. Just something I noticed and felt would be cool to point out!
I enjoyed your post -- thanks for sharing!
Treniece - I like how you identified that in multiplication word problems there are often multiple steps and that students need to be aware of them. Too often students are just eager to get the answer and not reading the whole problem as directed. I think its important to break down each step ( which you showed in this blog) so that students can understand and know the procedure even when they are not dealing with word problem. If a student can look at a problem and know what to do then the student is more likely to succeed in solving that problem correctly. As the future teachers of the world we have to instill in our students the proper methods , and ways to learn and understand. Thanks for sharing this vital information. Great Work !
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