WK 3.1.pdf

Technical English Week 3.1  AGENDA 1. Attendance (5 min) 3. Kahoot! Review of Previous Class (20 min) 4. Competition: Root Words (20 min) 5. Break (5 min) 6. Math Terms, Practice (20 min) 7. Inequalities; Introduction to Set Notation (10 min) COMPETITION: ROOT WORDS  Readi...

Technical English Week 3.1  AGENDA 1. Attendance (5 min) 3. Kahoot! Review of Previous Class (20 min) 4. Competition: Root Words (20 min) 5. Break (5 min) 6. Math Terms, Practice (20 min) 7. Inequalities; Introduction to Set Notation (10 min) COMPETITION: ROOT WORDS  Reading Mathematical Expressions Aloud in English: Scientific Notation Scientific notation is used to shorten a 3,500,000 becomes 3.5 x 106 number in Standard Notation, which is then Three point five multiplied by a power of ten times 10 raised to the 6th power times 10 to the 6th power times 10 to the 6th times 10 to the power of 6 3.5E6 (typed, shortcut) 2 point 375 times 10 to the third In scientific notation base 10 is Coefficient, base, exponent assumed  YOUR TURN - Real Life Examples: Express these Numbers in Scientific Notation Population of the world is around 7 billion 1. written out as 7,000,000,000 Approximate speed of light is 1080 million 2. km per hour or 1,080,000,000 km per hour Distance from the Earth to the sun is 93 3. million miles or 93,000,000 miles Amount of water surface area on the Earth is 4. 140 million square miles or 140,000,000 square miles Approximate number of cells in the human 5. body is 100 trillion or 100,000,000,000,000 Mass of an electron is 6. 0.000000000000000000000000000000910 93822 kg  Real Life Examples: Express these Numbers in Scientific Notation 1. Population of the world is around 7 billion 1. 7.0 x 109 written out as 7,000,000,000 2. Approximate speed of light is 1080 million km per hour or 1,080,000,000 km per hour 2. 1.08 x109 3. Distance from the Earth to the sun is 93 3. 9.3 x107 million miles or 93,000,000 miles 4. Amount of water surface area on the Earth 4. 1.4 x108 is 140 million square miles or 140,000,000 square miles 5. Approximate number of cells in the human 5. 1.0 x1014 body is 100 trillion or 100,000,000,000,000 6. Mass of an electron is 0.000000000000000000000000000000910 6. 9.1093822×10-31 93822 kg  Historical cumulative volume water stored in tanks, bins, and capsules, by site (From the Department of Energy’s Integrated Data Base Report-2015, DOE/RW-006, Rev. 11) Which site had the most water? In which year was there the most water? Year Volume, x 103 m3 Site: Hanford INEL SRS WVDP Total 2011 2.53 1.2 1.31 1.2 3.98 2012 2.56 1.04 1.27 1.7 3.96 2013 2.58 1.12 1.26 1.6 3.98 2014 2.61 1.05 1.29 2.0 4.03 2015 2.38 1.1 1.26 2.2 3.78 Point out the base, the coefficients, the exponent  Historical cumulative volume water stored in tanks, bins, and capsules, by site (From the Department of Energy’s Integrated Data Base Report-2015, DOE/RW-006, Rev. 11) This is the base and exponent Year Volume, x 103 m3 Site: Hanford INEL SRS WVDP Total 2011 2.53 1.2 1.31 1.2 3.98 2012 2.56 1.04 1.27 1.7 3.96 2013 2.58 1.12 1.26 1.6 3.98 2014 2.61 1.05 1.29 2.0 4.03 2015 2.38 1.1 1.26 2.2 3.78 These numbers in the table are the coefficients  YOUR TURN: Converting To/From Standard Notation and Scientific Notation Scientific Notation Standard Notation 6.0 x 102  YOUR TURN: Convert From Standard Notation to Scientific Notation Scientific Notation Standard Notation 6.0 x 102 600  YOUR TURN: Convert From Standard Notation to Scientific Notation Scientific Notation Standard Notation 8765.234  YOUR TURN: Convert From Standard Notation to Scientific Notation Scientific Notation Standard Notation 8.765234 x 103 8765.234  YOUR TURN: Convert From Standard Notation to Scientific Notation Scientific Notation Standard Notation 2.0 ×100  YOUR TURN: Convert From Standard Notation to Scientific Notation Scientific Notation Standard Notation 2.0 ×100 2  YOUR TURN: Convert From Standard Notation to Scientific Notation Scientific Notation Standard Notation 5.24×109  YOUR TURN: Convert From Standard Notation to Scientific Notation Scientific Notation Standard Notation 5.24×109 5,240,000,000  YOUR TURN: Convert From Standard Notation to Scientific Notation Scientific Notation Standard Notation 897  YOUR TURN: Convert From Standard Notation to Scientific Notation Scientific Notation Standard Notation 8.97 × 𝟏𝟎𝟐 897  YOUR TURN: Convert From Standard Notation to Scientific Notation Scientific Notation Standard Notation −2.6×104  YOUR TURN: Convert From Standard Notation to Scientific Notation Scientific Notation Standard Notation −2.6×104 −26,000  YOUR TURN: Convert From Standard Notation to Scientific Notation Scientific Notation Standard Notation 0.4  YOUR TURN: Convert From Standard Notation to Scientific Notation Scientific Notation Standard Notation 4.0 ×10−1 0.4  YOUR TURN: Convert From Standard Notation to Scientific Notation Scientific Notation Standard Notation 7.51×10−9  YOUR TURN: Convert From Standard Notation to Scientific Notation Scientific Notation Standard Notation 7.51×10−9 0.00000000751  Difference Between: Variables, Coefficients, Terms, Expressions, Equations Term - A term can be a simple More specifically: number, a letter, or a combination of a Terms – may consist of a variable, or a number and letters combination of variables ✓ a variable may be multiplied by a number, called a coefficient For example, these are all terms: ✓ parts of a term may be raised to a power 25 For example: 6m 15 7h x 3x 17bc 5x2 7ab ⅕a2b  Difference Between: Variables, Coefficients, Terms, Expressions, Equations In this expression: 1. How many terms are in 3 + 2x + 7x2 + 4y the expression? ___ each are separate terms 2. How many variables are in If the letters are the expression? ___ different, or have different powers, they are different 3. How many coefficients are in terms the expression? ___  Difference Between: Variables, Coefficients, Terms, Expressions, Equations In this expression: How many terms are in the 3 + 2x + 7x2 + 4y expression? 4 each are separate terms How many variables are in the expression? If the letters are 2 different, or have different How many coefficients are in the powers, they are different expression? terms 3 Difference Between: Variables, Coefficients, Terms, Expressions, Equations Expression Equation An expression is a An equation sets two "phrase" that represents expressions equal to each a number other Example: Example: 2(h + w) 2(d - 1) = h + d  Difference Between: Variables, Coefficients, Terms, Expressions, Equations Expression Equation a collection of more than one term: has an equals sign (=), and the Examples of expressions: value of the variable typically 3x+5y can be worked out by solving the 2x2−5x equation There is normally an addition or a Example of equation: subtraction involved, and the combinations of variables are not the 5x−3=2 same because the value of x can be An expression does not have an equals sign solved  INEQUALITIES An inequality is a statement that shows the relationship between two (or more) expressions with one of the following signs: < ≤ > ≥ ≠  INEQUALITIES An inequality gives a set of answers for an algebraic statement Example: -- x > 12 is an inequality, where values of x are rational, whole numbers -- 13, 14, 15, 16 for example, are all valid answers for that statement  INEQUALITIES Like an equation, an inequality can be true or false: 34 - 12 > 5 + 2 TRUE OR FALSE 1+3≤6-2 TRUE OR FALSE 1+3≠6-2 TRUE OR FALSE -20 < - 18 TRUE OR FALSE  INEQUALITIES Like an equation, an inequality can be true or false: 34 - 12 > 5 + 2 is a true statement 1+3≤6-2 is a true statement 1+3≠6-2 is a false statement -20 < - 18 is a true statement  Inequalities and Number Lines Inequalities can be graphed on a number line EXAMPLE: This graph represents the inequality x ≤ 2 1/2 The dark line represents all the numbers that satisfy x ≤ 2 1/2. If we pick any number on the bolded line and plug it in for x, the inequality will be true  Inequalities and Number Lines On the board: graph the number line which represents the inequality x < 2 1/2?  Inequalities and Number Lines On the board: graph the number line which represents the inequality x < 2 1/2?  Inequalities and Number Lines How would you graph the number line which represents the inequality: x ≠ 2 1/2?  Inequalities and Number Lines How would you graph the number line which represents the inequality: x ≠ 2 1/2?  Inequalities on a Graph Graph the inequality described by −3 < y ≤ 2  Inequalities on a Graph Graph the inequality described by −3 < y ≤ 2  Inequalities and Graphs What inequality does the graph, represented by the shading and the line, describe?  Inequalities and Graphs What inequality does the graph, represented by the shading and the line, describe? y