Fundamental Mathematics (1A)(B,C,D not shown)

 

Module Two

 

Whole Numbers in Module Two are very easy and simple to promote success.

Students are shocked at how easy they are even with some borrowing as well as

some carrying and Multiple is two digits and Divide is single digit.  Times Tables.

        

Decimal Numbers in Module Two are so easy and simple to foster excitement.

Many times students have had little or no real work with Decimals Number and

can only remember trouble.  There is a little borrowing and  carrying and again it

is a good idea to relate these specific problems to money.  Students relate to $$.

 

346 + 87 = ______              4.5  +  .76  = ______

 

 

          216 - 58 = ______              2.6  -  .70  = ______

 

 

          12 x  17 = ______              1.7  x  .04  = ______

 

 

          428 / 5  = ______              .03  /  .6   = ______

 

    Fraction Numbers in Module Two are easy and simple to relax tense students.

         Denominators are easy but need to be determined as well as easy reducing.

         It is time to have  Multiply and Divide need some reducing or changing forms.

         Students still can concentrate on completing the operations of  ( +  -  x   / ).

     

    Mixed Numbers in Module Two along with Fractions encourage completion

         since they require some change in denominators.   Still in Multiple and Divide do

         answers need changed from Improper Fractions to Mixed Numbers probably the

         hardest thing expected in Mod Two.  Diversity and Success are significant issues.

 

          1/2 + 1/4 = ______             3 3/4 + 2 1/8 = ______

 

 

          5/9 - 1/3 = ______             5 4/6 - 2 1/3 = ______

 

 

          2/7 x 4/5 = ______             2 1/2 x 1 2/7 = ______

 

 

          2/5 / 2/3 = ______             1 1/3 / 2 1/5 = ______

 

    Using this “Garden Approach” to Mathematics it is possible

    to complete everything needed to be covered in half a year.

    This is a fact and many teachers ask what do we teach now?

 

Tom Love                   Malone College                   Fall 2003

 

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Fundamental Mathematics (1A)(B,C,D not shown)

Module Two

 

         Exponents are appearing more in Fundamental Mathematics and engage students

         in exciting and challenging situations, which is what Mathematics, is really about.

         Of course, the problems are simple using only exponents from 0 to 4 and only

single digit bases which actually foster review in  Times Tables  again.  Good!!!

 

Square Roots are introduced as a special division arrangement where the divisor

and quotients are simple and single digits.  Thus the radicands are squares of

whole numbers from 1 to 10.  Again fostering review without students knowing.

Finally, the Operations of  ( +  - X / ) are arranged to simply and easily work out.

 

                                          ___      ___

          82 + 60   = ______             | 64  +  | 25 = ______

 

                                          ___      ___

          22 - 41   = ______             | 36  -  | 9  = ______

 

                                          ___      ___

          71 x 90   = ______             | 16  x  | 4  = ______

 

                                          ___      ___

          32 / 51   = ______             | 49  /  | 81 = ______

 

         Proportion Problems are arranged in horizontal fashion so as to encourage the

         students to think more of ratios then fractions.  The Law of Proportions prevails

         and the problems are so easy and simple that they can do them in their head.  Wow!

         Need I say it again; students are shocked at the ease at getting the right answer.

 

         Percent Problems  are arranged with solutions arriving from 29%, 40%, 60%, 80%

         and always a percent over 100% just to keep things on the up and up.  Students are

         encouraged to change the percent problems into proportions which parallels the

         proportion problems but in fraction form.  Diversity and Success again are critical!

 

          3 : 4 = N : 7             40%  of  15  is  N

 

 

          N : 4 = 6 : 8             N%  of  20  is  6

 

 

          7 : 4 = 3 : N             175%  of  16  is N

 

 

          5 : N = 3 : 6             N%  of  50  is  10

 

Using this “Garden Approach” to Mathematics it is possible

    to complete everything needed to be covered in half a year.

    This is a fact and many teachers ask what do we teach now?

 

Tom Love                   Malone College                   Fall 2003

 

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This is a study guide as seen by students.  Designed for Student Success!

It allows for diverse real-life practice then self-assessment and correction.

Students have access to all answers to take charge of their own learning.

This is first of (4) SGs then these same problems are mixed for last (4) SGs.

All Modules has (8) specially designed SGs (4) in groups and (4) rearranged.

(  Download this PDF file for  PrintOut of Problems Set Mod 2A.  )

 

Whole and Decimal Number Problems

 

          613 + 25 = ____               3.2 + .54 = ____

 

 

          485 - 32 = ____               7.8 - 3.6 = ____

 

 

          13  x 7  = ____               .6 x .8   = ____

 

 

          528 / 4  = ____               .64 / .2  = ____

 

Fractions and Mixed Number Problems

 

          346 + 87 = ______              4.5  +  .76  = ______

 

 

          216 - 58 = ______              2.6  -  .70  = ______

 

 

          12 x  17 = ______              1.7  x  .04  = ______

 

 

          428 / 5  = ______              .03  /  .6   = ______

 

Exponents and Square Root Problems

                                       ___      ___

          82 + 60   = ______             | 64  +  | 25 = ______

 

                                          ___      ___

          22 - 41   = ______             | 36  -  | 9  = ______

 

                                          ___      ___

          71 x 90   = ______             | 16  x  | 4  = ______

 

                                          ___      ___

          32 / 51   = ______             | 49  /  | 81 = ______

 

 

Proportion and Percent Problems

 

          3 : 4 = ______ : 7             40%  of  15  is  ______

 

 

          ______ : 4 = 6 : 8             ______%  of  20  is  6

 

 

          7 : 4 = 3 : ______             175%  of  16  is ______

 

 

          5 : ______ = 3 : 6             ______%  of  50  is  10

 

 

 

Tom Love                   Malone College                   Fall 2003