## Math 6 Chapter 2 Lesson 8: Circles

Math 6 Chapter 2 Lesson 8: Circles 1. Summary of theory 1.1. Circles and circles A circle with center O, radius r, denoted (O; r) is a figure consisting of points equal to r from point O. Eg: Circle with center O and radius OM = 1.7 cm. Attention: For every point in the plane, …

## Math 6 Chapter 2 Lesson 9: Triangles

Math 6 Chapter 2 Lesson 9: Triangles 1. Summary of theory 1.1. What is triangle ABC? Define: Triangle ABC is a figure consisting of three line segments AB; BC; CA when three points A; B; C is not aligned. Sign: The triangle ABC is denoted by (Delta ABC). We also call the name and symbol …

## Math 6 Chapter 2 Lesson 5: Draw an angle that gives the measure

Math 6 Chapter 2 Lesson 5: Draw an angle that gives the measure 1. Summary of theory Given an Ox ray, how to draw the angle (widehat {xOy}=m^0) with (0 Home Source Education online

## Math 6 Chapter 2 Lesson 6: Bisector of angle

Math 6 Chapter 2 Lesson 6: Bisector of angle 1. Summary of theory The bisector of an angle is the ray that lies between the two sides of the angle and forms two equal angles with that side. – Ray Oz is the bisector of angle xOt, then: Oz ray lies between two rays Ox, …

## Math 6 Chapter 2 Lesson 7: Practice measuring angles on the ground

Math 6 Chapter 2 Lesson 7: Practice measuring angles on the ground 1. Summary of theory 1.1. Angle measuring instrument on the ground – Measure the angle on the ground with a trigonometer (figure below) – Structure of the trigonometry: A circular disc is placed horizontally on a tripod. On the top of the disc, …

## Math 6 Chapter 3 Lesson 5: Reducing the denominator of many fractions

Math 6 Chapter 3 Lesson 5: Reducing the denominator of many fractions 1. Summary of theory 1.1. Denominator of two fractions To convert two fractions, we do the following: Step 1: Find a common multiple of 2 denominators to use as a common denominator Step 2: Find the sub-factors of each denominator (divide the common …

## Math 6 Chapter 3 Lesson 6: Compare fractions

Math 6 Chapter 3 Lesson 6: Compare fractions 1. Summary of theory 1.1. Compare two fractions with the same denominator Of any two fractions with the same positive denominator, the fraction with the larger numerator is larger. Eg: Compare the following pairs of fractions a) (dfrac{-3}{4} ;dfrac{-7}{4}) b) (dfrac{5}{-8} ;dfrac{-7}{8}) Solution a) Because (-3>-7Rightarrow dfrac{-3}{4} …

## Math 6 Chapter 3 Lesson 7: Addition of Fractions

Math 6 Chapter 3 Lesson 7: Addition of Fractions 1. Summary of theory Add two fractions with the same denominator: To add two fractions with the same denominator, add the numerators and keep the denominator the same. (dfrac{a}{m} + dfrac{b}{m} = dfrac{{a + b}}{m}) Eg: (dfrac{1}{2} + dfrac{{ – 5}}{2} = dfrac{{1 + ( – …

## Math 6 Chapter 3 Lesson 8: Basic properties of addition of fractions

Math 6 Chapter 3 Lesson 8: Basic properties of addition of fractions 1. Summary of theory Similar to integer addition, fractional addition has the following basic properties: a) Commutative property: (dfrac{a}{b} + dfrac{c}{d} = dfrac{c}{d} + dfrac{a}{b}) b) Combined properties: (left( {dfrac{a}{b} + dfrac{c}{d}} right) + dfrac{p}{q} = dfrac{a}{b} + left( { dfrac{c}{d} + dfrac{p}{q}} …

## Math 6 Chapter 3 Lesson 4: Reduce fractions

Math 6 Chapter 3 Lesson 4: Reduce fractions 1. Summary of theory 1.1. How to shorten fractions Rule: To reduce a fraction, we divide both the numerator and denominator of the fraction by a common divisor (other than 1 and (-1)) of them. Eg: Simplify fractions (dfrac{14}{6}) We have UC(14, 6)=2 so we have: (dfrac{14}{6}=dfrac{14:2}{6:2}=dfrac{7}{3}) …