PPT-Lesson 8 Expand and Simplify.

Mathswatch 103 GCSE Maths Starter 8 Write 14 as a percentage of 20 What is 3y x 5y Convert 2500g to kg 1 Describe the correlation 5 Solve the equations below To simplify expressions by collecting like terms. Grades C to A*. Hyperlinks!. Expanding a single bracket. Solving quadratics by factorising. Factorising quadratic expressions. Factoring expressions. Multiplying out 2 brackets. Quadratic simultaneous equations. Mini-Quiz. 1. .. 2.. . Simplify . . . Simplify. . . . . Introduction. You first met the Binomial Expansion in C2. In this chapter you will have a brief reminder of expanding for positive integer powers. We will also look at how to multiply out a bracket with a fractional or negative power. Chapter 1. LCH GH. A Roche. Simplify. (. i. ) . =. =. =. multiply each part by x. factorise the top. Divide top & bottom by (x-3). p.3. +. Simplify (ii). +. Multiply second part above and below by -1. Quotient Theorem for Square Roots, Congruency, Congruent Triangles. We remember that the square root of a product can be written as the product of the square roots of its factors. . . √(3 . . There are three rules of algebra that stand above all the rest. Two of the rules cannot be used unless an equals sign is present, for these rules apply only to equations. . The same quantity can be added to both sides of an equation without changing the answer(s) to the equation.. Essential Question: How do you simplify fractions?. Before we start…. Do the following fractions represent the same quantity. ?.  . What is a . fraction. ?. A . ratio. comparing two . numbers . a. Standard: . Preparation for 6.RP.. 3c. Find . a percent quantity. . . Percent as a way to compare portions of a . whole.. Chapter 9 – Heavy focus on percentages. Lesson Focus: . . Focus of today is simplifying fractions using factoring to understand their equivalence. . Mr Richard Sasaki. Objectives. To recall how to multiply a polynomial by a number or monomial. Recall how to multiply two polynomials. Vocabulary Review. We need to review some vocabulary regarding polynomials.. Challenge. Skill. Describe, with an example for each, the . meaning of . the words expression. , term, . formula and function. How do you spell the plural of each word too!. For three of your other school subjects, not mathematics!, identify a formula you will use in each subject before you are 16 years old….. (. i. ). Rational. because it can be expressed in the form .. (ii). Rational. because it can be expressed in the form .. (iii). Rational. because it can be expressed in the form .. i. , perform operations on complex numbers, graph complex numbers on the appropriate axis. SWBAT: simplify powers of . i. , perform operations on complex numbers, graph complex numbers on the appropriate axis. the. basic rules of algebra. RAG. Key. Words: . Reflect, Communicate, Explain, Justify. 21/09/2014. Starter Activity. Complete the ‘Heard the Word . Grid.’. Are there any key . words that . you have learnt or have a better understanding of . circle the world ’ log a x = b ↔ a b = x e.g. log 2 16 = 4 because 2 4 = 16 ln a = b ↔ e b = a e.g. ln 100 ≈ 4.605 because e 4.605 ≈ 100 LOG 1000 = 3 LOG 0.001 = −3 LOG 10 n = n LOG