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Learning Math Home
Patterns, Functions, and Algebra
 
Session 10 Session 10 Grades K-2 Part A Part B Part C Part D Part E Homework
 
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A B C D E

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Solutions for Session 10, Grades 3-5, Part E

See solutions for Problems: E1 | E2


Problem E1

a. 

There is no algebra specifically shown in this problem. It does, however, examine some patterns.

b. 

The patterns used in this problem compare dividing by a fraction and multiplying by its reciprocal.

c. 

The lesson assumes that students will learn that dividing by a fraction and multiplying by its reciprocal produce the same result.

d. 

No example shows that dividing by a whole number is the same as multiplying by its reciprocal. This could lead to confusion. There is no attempt to show why the process works.

e. 

The lesson should include dividing by a whole number, and it should include an explanation of why the process works.

<< back to Problem E1


 

Problem E2

a. 

There is no algebra specifically shown in this problem. It does, however, examine some patterns.

b. 

The patterns used in this problem show two things: a) The units digit of a sum remains the same if the units digits of the addends remain the same; and b) The units digit of a sum increases by one as one addend remains the same and the other addend increases by one.

c. 

The lesson assumes that students will learn the patterns described above.

d. 

Students may not notice the patterns, or overgeneralize to think that all sets of problems will show similar patterns.

e. 

The lesson should ask children to generalize and describe the patterns they see.

<< back to Problem E2


 

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