PPT-Book Review: How to Solve It

Reviewed by sarthak garg Presented by sarthak garg vivek verma About the Book The Book was written by George Polya in 1945 The Book gives an overview on how to tackle any mathematical problem. Formation of Partial Differential equations. Partial Differential Equation can be formed either by elimination of arbitrary constants or by the elimination of arbitrary functions from a relation involving three or more variables . . using Elimination. Steps:. 1. Place both equations in Standard Form, A. x . + B. y . = C.. 2. Determine which variable to eliminate with Addition or Subtraction.. 3. Solve for the variable left.. Y + 12 = 312. Y = 300. Solve. . . . 3z = 612. Z = 206. Try . this one!. . 5w – 13 = 263. W = 50. Solving two-step equations. Step 1. : draw in your balance line.. Step 2. : use the addition or subtraction property of equality to get the term with a variable alone on one side of the equation.. 2. X + 2Y = 7 Solve for Y. -X. - X. 2Y = 7 – X. 2. 2. Y = 7 – X. . 2. Y = 7 . -. X. . 2. Y = -½X + 3½. 1. -2X + 3Y = 6 Solve for Y. +2X. + 2X. 3Y = 6 + 2X. Recall from JC maths / science:. Speed and distance are scalars. We use the vector versions, velocity (. ) and displacement (. ):.  . 1. Solve Problems About Linear Motion. only works for constant (or average) velocity.. Method 1: Elimination:. . Solve the simultaneous equations 2x + 3y = 5 and x – 2y = 6.. Both of these are linear and so elimination is usually the best method.. 2x + 3y = 5. x – 2y = 6. You will need to get the coefficients of either x or y the same. Multiplying the 2. Number bonds to 20. Counting in 2s 5s 10s. 7 8 9 10 11 12. 1 2 3 4 5 10. New Curriculum. The . national curriculum for mathematics aims to ensure. 2. The weight of the carbon (C) in a quantity of C H . Cl. is 432 grams. What is the weight of the chlorine (. Cl. ) in the compound? (C, 12; H, 1; . Cl. , 35). 3 3 5. Answer:. 2100 g. 1. s - . = . 2. s . = . 3. d 4 = 36. 4. d – 4 = 36.  . 5 Minute Check. Solve and show work on the back on your homework.. 1. s - . = .  . 5 Minute Check. Solve and show work on the back on your homework.. Activity 13. Pick up a Notecard and write your . NAME. and . PERIOD. Title Notecard: . GOALS. Answer the following questions:. 1. What do I want to improve upon this six weeks in math class?. 2. How can I make sure I accomplish this goal?. Radioisotopes decay in a . predictable. way. The time is takes for half of a sample to decay is called the . half life . for the isotope.. Every radioactive element has a unique half-life. C-14 is . Essential Question: How do you solve percent problems?. Before we start…. The sum of China and Japan’s total Olympic medals from 2004 is 100. What percent of their medals were gold? Silver? Bronze?. Length of car: 14 . ft. 10 in. Length of model car: 8 in. The measures of the angles of a triangle are in the extended ratio 6:1:5. What is the measure of the largest angle?. Solve the proportion.. by Factoring. Vocabulary:. Monomial: one term. (ex) x (ex) 4 (ex) 4x (ex) 4xy. 2. (ex) 3x. 3. y. 2. z. Binomial: two terms. (ex) x + 2 (ex) 3x – 2 (ex) 4x. 2. + 5. Trinomial: three terms.