The document is a mathematics lesson plan that covers topics including the greatest common divisor (GCD), least common multiple (LCM), prime factor decomposition, and word problems involving operations with whole numbers. It includes learning objectives, topic outlines, example problems, and other math concepts. The teacher's name provided is Daniel Bernal.

1. MCM y MCD
MATEMATICAS III PRFESOR: DANIEL BERNAL

2. Aprendizajes esperados
Usa técnicas para determinar el m. c. m. y el m. c. d.

3. Descomposición en
factores primos
M.C.D Maximo comun divisor
01
CONTENIDOS
02
M.C.M.
03
Minimo comun multiplo

4. MCM
El mínimo común múltiplo o también denominado
cómo MCM, es el menor de los múltiplos
comunes de varios números.

5. Descomposición en
factores primos
2, 3, 5, 7, 11, …
01

6. MCD
En matemáticas, se denomina máximo común divisor o MCD al mayor número que divide
exactamente a dos o más números a la vez. Como hablamos del mayor número solo
tendremos en cuenta los divisores positivos.

7. Problems operations with whole numbers
A pound of pears costs $1.30. Tony
bought a pound and a half of pears. If
he gave the clerk a $5.00 bill, how
much change will he get back?
Subtraction Addition
Joe drove for an hour and 25 minutes
on Tuesday, 15 minutes on
Wednesday, and 45 minutes on Friday.
What was the total number of minutes
Joe has been driven?

8. 9h 55m 23s
Is Jupiter's rotation period
333,000.000
Earths is the Sun’s mass
386,000 km
Is the distance between Earth and the Moon

9. Problems operations with whole numbers II
Susan has 2 oranges. She wants to give
one orange to her 5 best friends so
each friend gets the same amount.
How much of an orange will each
friend get?
Division Multiplication
A sport shop sold eight tracksuits, ten
caps and five sneakers every day for a
week. How many tracksuits were sold
during the week? And during a month?

10. Generate and analyze patterns
Which sequences below follow the rule of adding 7?
3, 9, 15, 21 5, 12, 19, 26 6, 10, 14, 18
2, 9, 16, 23 11, 16, 21, 26 1, 9, 17, 25

11. Interpreting the data from the graphic
Amount
of
stuff
Pens Rubbers Crayons Notebooks
Stuff Units
Pens ?
Rubbers ?
Crayons ?
Notebooks ?
Follow the link in the graph to modify its data and then paste the new one here. For more info, click here

12. —SOMEONE FAMOUS
“This is a quote, words full of wisdom that
someone important said and can make the
reader get inspired.”

13. List the four students from the shortest to the
tallest
Student Height
Helen 52 inches
Kate 3 ¼ feet
John 1 ⅓ yards
Kevin 3 feet and 4 inches
? ? ? ?

14. Fraction equivalence
and ordering
1 ? 3
— x — = —
7 ? 21
Build fractions from
unit fractions
6 2 ? ?
— = — + — + —
8 8 8 8
Number and Operations—Fractions
Decimal notation for
fractions
4 ?
— = —
10 100

15. A picture is worth a thousand words

16. Venus has a beautiful name and is the second planet from the
Sun. It’s terribly hot, even hotter than Mercury, and its
atmosphere is extremely poisonous. It’s the second-brightest
natural object in the night sky after our Moon
Use of fraction
x
—
y
Fraction bar
Numerator (can be any whole number)
Denominator (can be any whole number except
0)

17. Add the top numbers
and put them over the
same denominator
The last step, simplify
the fraction
(if needed)
If the denominator is
different, we need to
make them the same
Steps to add fraction
1 2 3
1 1
?
— + — = —
3 6
?
2 1
3
— + — = —
6 6
6
3 1
— = —
6 2

18. Despite being red, Mars is
actually a cold place. It’s
full of iron oxide dust
We remember some concepts
Venus
Venus has a beautiful
name and is the second
planet from the Sun
Mercury
It’s the closest planet to
the Sun and the smallest
one in the Solar System
Mars Saturn
Saturn was named after
the Roman god of wealth
and agriculture

19. Awesome
words

20. Triangle classification
Triangle
By their sides By their angles
Obtuse
A > 90º
Acute
A < 90º
Scalene
≠ 3 S
Equilateral
= 3 S
Isosceles
= 2 S
Right
A = 90º

21. Map
It’s the farthest planet
from the Sun
Despite being red, Mars
is a cold place
Saturn is a gas giant
and has several rings
Neptune
Mercury
Saturn

22. Geometry concepts
Jupiter is the biggest
planet of them all
Decimal
Symmetry
Saturn is composed of
hydrogen and helium
Angles
Mercury is the closest
planet to the Sun
Polygons
Venus is the second
planet from the Sun
Perimeter
Mars is actually a very
cold place
Area
Neptune is the farthest
planet from the Sun

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