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"Merge similar items" PPT courseware 3
Display Activity 1: What are similar items?
Display requirements:
1. Accurately explain the concept of similar items;
2. Give some examples of similar items and be representative.
Make our judgment more accurate
1. Two are the same: the letters are the same, and the indices of the same letters are the same.
2. It has nothing to do with the coefficients and the alphabetical order.
3. The constant terms are all of the same type.
Display Activity 2: Merge similar items
Display requirements:
1. Tell exactly what merging similar items means and give examples.
2. Summarize and merge similar rules and write them on the blackboard.
Offer suggestions
What do you find you should pay attention to in order to merge similar items correctly? Communicate in the group first, and then recommend it to classmates.
1. Change: The coefficient changes (the new coefficient becomes the sum of the original coefficients).
Two unchanged: letters and letter exponents remain unchanged (the original letters and letter exponents are copied).
You be the judge
Are the following calculations correct? Give reasons.
(1) 2x+3y=5xy; (2) 2a2+a2=2a4;
(3) a2b-ba2=0; (4) 4a2-6a2=-2;
(5) 3m-7m+4m=(3-7+4)m=m;
(6)-12x2y3z+9x2y3z=-21x2y3z;
(7) -6m3n+2n3m=-4m3n.
Activity 4: Want to challenge?
1. If 2axb3 and -3bya4 are similar terms, then x=4 and y=3.
2. It is known that the difference between the monomial 2x6y2m+1 and -3x3ny5 is still a monomial, then the value of mn is ___
3. If the algebraic expression about the letter x is -3x2 +ax+bx2 +2 x+3
After merging, there is no linear term of x, then the following statement is correct ( )
A. a+b=0 B. a=0
C. b=3 D. a=-2
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"Merge similar items" PPT courseware 4:
"Combining Similar Terms" PPT Courseware 4 Mathematics exists everywhere in life. Things with the same characteristics can be classified into one category. In polynomials, terms with the same characteristics can also be classified into one category and then combined. Question 1: Above What terms are there in the polynomial of ? 3x2,..
"Merge similar items" PPT courseware 2:
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