Matemáticas

COLEGIO HISPANOAMERICANO CONDE ANSÚREZ


| PLAN DE APOYO ACUMULATIVOCICLO I | CÓDIGOPROC_ACAD 01 |
| | FECHA: OCTUBRE 2012 |

AREA: MATH GRADO: FIFTH
TEACHER: LUZ HELENA ESPITIA GONZÁLEZ

Achievement :5.4. FORMULATE AREAS, PERIMETERS AND VOLUMES TO FIND VARIABLES, COLLECT DATA IN BAR GRAPH AND USE PROBABILITIES SOLVING PROBLEMS. |
AchievementIndicators: |
Cognitive: Characterize perimeter, area and volume of a figure. |
Expressive: Apply formulas to calculate areas, perimeters and volumes of plane and solid figures. Relate data of a survey in statistics graph (bar graph, line graph and circle graph). Find the probability of an event. |
Affective: Argue the choice of an statistics graph to represent data of an observation. |

*Mixed Numbers and Improper fractions

Write 623 as an improper fraction.

* Multiply the whole number by the denominator. (6 x 3 thirds is 18 thirds)

623= 6 x 3+23 Add the numerator. (There are 2 more thirds.)

= 203 Write as an improper fraction

Write 96 as a mixed number. Begin by dividing 9 by 6.

1 The quotient represents one whole number.
6⎾9
-6
3The remainder represents three parts.

9 6=136=112 Simplify

Express the remainder as a fraction

1. Write each mixed number as an improper fraction. Write each improper fraction as a mixed number in simplest form.

a. 457 = b. 688 = c. 1065 =

d. 111315 = e. 23212 = f. 15110 =

g. 11112 = h. 809 = i. 1311 =

* Least Common Multiple (LCM)

Theleast common multiple of two or more numbers is the least number, except 0, that is a common multiple of both (or all) of the numbers.

Find the least common multiple of 8 and 12.

Multiples of 8: 8, 16, 24, 32, 40, …
Multiples of 12: 12, 24, 36, 48, ….

The least common multiple (LCM) of 8 and 12 is 24.

2. Find the LCM of each set of numbers.

a. 4, 10: ____________ b. 1, 6,7: ____________

c. 3, 9, 12: ____________ d. 10, 18, 72: _____________

d. 5, 10, 15: _____________ e. 6, 9, 12: ____________

* Compare Fractions

Compare: 78 ____ 108

* To compare fractions with like denominators, compare the numerators. The fraction with the greater numerator is greater.

7 10 78 108

Compare 45 ____ 23

To compare fractions with unlikedenominators:

* Find the least common denominator (LCD) of the fractions.

4/5 Multiples of 5: 5, 10, 15, 20, ...
LCM
2/3 Multiples of 3: 3, 6, 9, 12, 15, 18, ...

The LCD of 4/5 and 2/3 is 15.

* Use the LCD to rename the fractions as equivalent fractions with the same denominator.

4 = ? 4 x 3 = 12 2 = ? 2 x 5 = 10
5 15 5 x 3 15 3 15 3 x 5 15* Compare the numerators, 12 10, so 45 23

3. Compare. Write , =, or .

a. 920 _____ 920 b. 1721 _____ 1021

c. 98 _____ 88 d. 1919 _____ 2019

e. 710 _____ 35 f. 614 _____ 27

g. 47 _____ 69 h. 1025 _____ 710

i. 45 _____ 1215 k. 1121 _____ 2242

4. Solve the following operations:

a. 39 + 29 = _____ b. 45 + 39 = _____ c. 88 + 23 =_____

d. 49 – 25 = _____ e. 37 - 25 = _____ f. 34 X 45 = _____

g. 85 ÷ 37 = _____ h. 24 ÷ 49 = _____ i. 57 ÷ 38 = _____

j. 412 – 310 = _____ k. 28 + 34 = _____ l. 510 + 37 = _____

5. Mariana is preparing a cake; she needs 48 lb of butter, 27 lb of flour, 12 lb of vanilla flavor. And she uses also 3 eggs.

a. What is the total of ingredients Mariana Uses?_____________________

b. Does Mariana need More Flour or butter? _________________________

c. If Mariana has 34 of Vanilla Flavor its enough for her?. There is some vanilla flavor left?
___________________________________________________________

6. Andres decorated a box with buttons. He used 434 buttons in all. How many buttons is that? (Write the fractions as an improper fraction)...