This document provides instruction on multiplying integers. It begins with the rules for multiplying integers:
1) Positive x Positive = Positive
2) Negative x Negative = Positive
3) Negative x Positive = Negative
4) Any Number x 0 = Zero
Examples are provided to illustrate each rule. The document emphasizes that if the signs are the same, the answer is positive, and if the signs are different, the answer is negative. Students then practice multiplying integers in a group activity before evaluating additional examples.
This document defines key concepts in set theory including:
- A set is a collection of distinct objects or ideas defined by common attributes.
- A subset contains elements that are also elements of the universal set.
- Venn diagrams use circles to visually represent sets and the relationships between them.
- Set operations include union, intersection, and difference. The union of two sets contains all elements in either set. The intersection contains elements common to both sets.
- The cardinality of a set refers to the number of elements it contains, with finite sets having a natural number and infinite sets being uncountable.
This document provides instruction on multiplying integers. It begins with the rules for multiplying integers:
1) Positive x Positive = Positive
2) Negative x Negative = Positive
3) Negative x Positive = Negative
4) Any Number x 0 = Zero
Examples are provided to illustrate each rule. The document emphasizes that if the signs are the same, the answer is positive, and if the signs are different, the answer is negative. Students then practice multiplying integers in a group activity before evaluating additional examples.
This document defines key concepts in set theory including:
- A set is a collection of distinct objects or ideas defined by common attributes.
- A subset contains elements that are also elements of the universal set.
- Venn diagrams use circles to visually represent sets and the relationships between them.
- Set operations include union, intersection, and difference. The union of two sets contains all elements in either set. The intersection contains elements common to both sets.
- The cardinality of a set refers to the number of elements it contains, with finite sets having a natural number and infinite sets being uncountable.
The document discusses theorems related to triangle inequalities. It categorizes theorems into those involving one triangle or two triangles. For one triangle, it lists four theorems including the triangle inequality theorem and exterior angle inequality theorem. For two triangles, it mentions the hinge theorem and converse hinge theorem. It also provides examples applying the exterior angle theorem to find unknown angles.
This document discusses how to gather statistical data and organize it in a frequency distribution table. It provides examples of collecting data through surveys, observations, experiments, and publications. Various methods for collecting data are described, including interviews, questionnaires, observation, and experiments. The document outlines the steps for constructing frequency tables from both ungrouped and grouped data, such as determining the range and class intervals. Examples are provided to illustrate how to tally frequencies and determine the most and least frequent values.
Exterior Angles and Triangle Inequalities.pptxLAILABALINADO2
This document discusses exterior angles of polygons and triangles. It defines exterior angles as angles formed when the sides of a polygon are extended beyond the interior angles. The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles. Several examples demonstrate how to use the exterior angle theorem to calculate unknown angle measures.
This document defines and provides examples for calculating measures of central tendency (mean, median, mode) and variability (range) from a data set. It explains that the mean is the average found by adding all values and dividing by the count. The median is the middle number after ordering values. The mode is the most frequent value. The range is the difference between the highest and lowest values, measuring how spread out the data is. Examples are provided to demonstrate calculating each measure from sample data sets.
Geometry 07 Quadrilaterals and Other Polygons.pptxLAILABALINADO2
This document provides an overview of polygons and their properties. It begins by defining polygons and discussing the interior and exterior angle sums of polygons. It then covers properties of parallelograms, including how to prove a quadrilateral is a parallelogram. Special types of parallelograms like rectangles, squares, and rhombuses are examined. Finally, the document looks at trapezoids, kites, and their defining properties. Examples and practice problems are provided throughout to illustrate the concepts.
1. The document defines key terms related to circles such as radius, diameter, chord, arc, tangent, secant, and angles related to circles.
2. Theorems regarding relationships between arcs, chords, angles and segment lengths in circles are presented along with examples of applying the theorems.
3. Exercises are provided for students to work through applying the concepts and theorems to problem solving.
This document provides an overview of the philosophical foundations of education. It discusses how philosophy helps educators formulate beliefs and assumptions to make decisions about curriculum development. The document outlines some of the major philosophical approaches that influence education, including idealism, realism, pragmatism, and existentialism. It also discusses four educational philosophies: perennialism, essentialism, progressivism, and reconstructionism. Finally, it notes that philosophical foundations help determine the overall purpose of education and the roles of those involved by shaping the way goals and objectives are established for curriculum.
This document discusses classifying and identifying different types of angles. It defines an angle as two rays that share an endpoint, called the vertex. There are four main types of angles: acute angles which are less than 90 degrees; right angles which are exactly 90 degrees; obtuse angles which are greater than 90 but less than 180 degrees; and straight angles which are exactly 180 degrees. The document provides examples of identifying different angles in illustrations and classifying them by type, as well as group activities for students to practice classifying and creating examples of different angle types.
This document defines key geometry concepts and provides examples of naming points, lines, and planes and sketching their intersections. It begins by defining undefined terms in geometry like point and line, and defined terms like segment and ray. Examples are then given of naming collinear points, coplanar points, and different names for lines and planes. Further examples demonstrate sketching intersections between lines and planes, including lines within a plane, lines that do not intersect a plane, and lines intersecting a plane at a point. The final examples show sketching two planes intersecting in a line. Guided practice questions reinforce naming intersections and sketching relationships between geometric entities.
6. Sabi nga ni Helen Keller,
isang bulag at bingi na
nagtagumpay sa buhay, “Mas
malala pa sa pagiging isang
bulag ang may paningin ngunit
walang tinatanaw na
kinabukasan.’ Sa pangarap
nagsisimula lahat
7. Ang taong may pangarap ay:
1.Handang
kumilos upang
maabot ito.
✓ Nagsusumikap,
matiyaga, at
nagtatrabaho
nang lubos.
8. Ang taong may pangarap ay:
2.Nadarama ang
higit na pagnanasa
tungo sa pangarap
.
✓ Positibo ang
kanyang pananaw.
✓ Hindi nagdududa.
9. Ang taong may pangarap ay:
3.Nadarama ang
pangangailangan
makuha ang
pangarap.
✓ Ibayong
sakripisyo ang
ginagawa
10. Ang taong may pangarap ay:
4. Naniniwala na
magiging totoo ang mga
pangarap at kaya nyang
gawing totoo ang mga
ito.
✓ paniniwala na
matutupad ang mga
pangarap
11. Ang salitang Bokasyon ay nanggaling sa
salitang latin na “Vocare” na ang ibig
sabihin ay PAGTAWAG.
Ang bokasyon ay kalagayan o gawain na naayon
sa plano ng Diyos sa atin.
12. “Hinirang nga
Niya tayo sa
kanya bago pa
nilalang ang
mundo upang
tayo ay maging
banal at walang
kasalanan sa
paningin Niya.
Sa pag-
ibig.”(Efeso 1:4)
13. Ang pangarap at pagtatakda ng mithiin
•Ang goal o mithiin ay
tunguhin na iyong nais
marating sa hinaharap.
Ito ang nagbibigay
direksyon sa iyong
buhay.
14. ANG MGA PAMANTAYAN SA PAGTATAKDA NG MITHIIN
SMARTA
S-PECIFIC
M-EASURABLE
A-TTAINABLE
R-ELEVANT
T-IME BOUND
A-CTION
ORIENTED
17. NASUSUKAT
(MEASURABLE)
Halimbawa: Pagpili ng kurso sa
kolehiyo
✓ Una, nasusukat mo ang iyong
kakayahang kumuha ng kursong
nais mo. Sapat ba ang iyong
mga marka upang kunin ang
kursong ito? Sumunod, sapat ba
ang iyong perang gugulin para sa
pagkuha ng kursong ito?
19. ANGKOP (RELEVANT)
Halimbawa, angkop ba ang iyong
mithiing maging isang doktor?
Kung ang iyong layunin ay
matugunan ang pangangailangan sa
inyong pamayanan, angkop ito.
Ngunit angkop pa rin ba ito kung ikaw
ay panganay at ang iyong mga
magulang at kapatid ay umaasang
giginhawa ang kanilang buhay kung
makatapos ka ng pag-aaral?
21. MAY ANGKOP NA KILOS
(ACTION-ORIENTED)
Ang pagpapahayag
ng mithiin ay
kailangang nasa
pangkasalukuyang
kilos (present tense).
22. ANG PANGMADALIAN AT PANGMATAGALANG
MITHIIN
Ang pangmadaliang
mithiin
(short-term goal) ay
maaaring makamit sa
loob ng isang araw,
isang linggo, o ilang
buwan
Ang
pangmatagalang
mithiin(long-term
goal) ay maaaring
makamit sa loob ng
isang semester,
isang taon, limang
taon o sampung
taon.
23. MGA HAKBANG SA PAGTATAKDA NG MITHIIN
1.Isulat ang iyong itinakdang mithiin.
2.Isulat ang takdang panahon ng
pagtupad ng iyong mithiin.
3. Isulat ang mga inaasahang
kabutihang maidudulot mula sa
itinakdang mithiin at sa paggawa ng
plano para ito.
24. MGA HAKBANG SA PAGTATAKDA NG MITHIIN
4.Tukuyin ang mga maaaring
balakid o hadlang sa
pagtupad ng iyong mga
mithiin.
5.Isulat ang mga maaaring
solusyon sa mga balakid o
hadlang na natukoy.
25. PANUTO: GUMUHIT NG “DREAM LADDER”.
DITO ISUSULAT ANG IYONG MGA HAKBANGIN
SA PAGTUPAD NG IYONG PANGARAP.
26. T
akdang Aralin: Sagutin at gawin
ang Pahina 91-95
Sa iyong kwaderno, sumulat ng
iyong pansariling mithiin para sa:
1.Pamilya
2.Paaralan
3.Pakikipagkaibigan
4.Pamayanan
5.Buhay-ispiritwal
