Find the area of these rectangles x cm 2x + 1 cm x + 2 cm 8 cm 5cm 2cm 21 cm 3 cm 6 cm x cm 10 cm 2 2x 2 + x cm 2 or x(2x + 1) cm 2 8x + 16 cm 2 or 8(x.

Slides:

Advertisements

Similar presentations

Algebra Topic Five – Factorising  CM ppt By the end of this session you should: be able to recognise a common factor factorise expressions with common.

Advertisements

Expanding Brackets. Objectives By the end of the lesson you must understand what it is to multiply out (or expand) brackets. By the end of the lesson.

Solving Equations Learning Outcomes  Manipulate and simplify simple expressions including removal of brackets  Solve linear equations, with or without.

Year 8 Expanding Two Brackets Dr J Frost Last modified: 12 th April 2014 Objectives: Be able to expand an expression when.

Name _____ Understanding Large Numbers Page

Towerism Task Task 1Task 2Task 3 Task 4Task 5Task 6 Task 7Task 8Task 9 NC Level 5 to 8.

18-May-15Created by Mr. Lafferty Maths Dept. Coordinates Plotting Coordinates Coordinates Different Grids Proper Names Extending.

MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 16, Monday, October 6.

Solving Inequalities Pages Solving Inequalities ● Solving inequalities follows the same procedures as solving equations. ● There are a few.

10.1 Adding and Subtracting Polynomials

SOLVING LINEAR EQUATIONS. Example 1 Solve take 3 from both sides divide both sides by 2.

ALGEBRA TILES Variables such as ‘x’ and ‘y’ are used to represent an unknown number Algebra tiles are the generally accepted manipulative to help students.

Prime Factors. What are they? All composite numbers can be written as the product of prime numbers. This product is known as the prime factorisation of.

Solving Systems of Equations: Elimination Method.

3.3 Properties of Logarithms Change of Base. When solve for x and the base is not 10 or e. We have changed the base from b to 10. WE can change it to.

Multiplying Out Brackets. Double Brackets.. What Do Double Brackets Represent? Consider the area of this rectangle. x 6 2x 3 A1 A1 =2x 2 A2 A2 =12x A3.

Elimination Day 2. When the two equations don’t have an opposite, what do you have to do? 1.

P ROPERTIES OF E XPONENTS. P RE -T EST Q UESTION 1 y 3 y 4 A.) y 12 B.) y 7 C.) y -1 D.) y.

Brackets Factors and Equations

21 st Century Lessons Combining Like Terms 1. Warm Up OBJECTIVE: Students will be able to determine if expressions are equivalent by combining like terms.

Инвестиционный паспорт Муниципального образования «Целинский район»

(x – 8) (x + 8) = 0 x – 8 = 0 x + 8 = x = 8 x = (x + 5) (x + 2) = 0 x + 5 = 0 x + 2 = x = - 5 x = - 2.

Factoring Quadratics using X-Box method and Factor by Grouping

Chapter 3 Factoring.

Section 7.3 Multiply a Monomial by a Polynomial We will be learning how to multiply a monomial (one term) by a polynomial (more than one term.

How does drawing a picture help us solve multi-digit multiplication? 368 x 7 =

Solve x 2 +3x – 5 = 11 xx2x2 +3x-5X 2 +3x-5High/ Low L.

LO: Solve equations with negative solutions. Progress Check Solve, showing full working: 1)3x = 21 2)x + 5 = 8 3)12 = x - 3 4)4x + 5 = 17 5)36 = 7x + 1.

The area of the rectangle is the sum of the areas of the algebra tiles. The area of each square green tile is x² square units. The area of each long green.

Making Equations (2) Algebra 5 x + 7 Area = 53cm 2 The area of a rectangle. In each of the examples below, the area of the rectangle is given. Make an.

Bell Ringer Solve. 1. 7x – 1 = 2x + 19

Solving Quadratic Equations – More Examples

Objective: Order negative and positive integers and place on a number line © Hamilton Trust Stepping Up Term 2 Week 6 Day 3.

Expand and Simplify Expand two brackets by: multiplying them out and then….. collecting like terms, by adding or subtracting. Great Marlow School Mathematics.

Reminder: Removing Brackets Multiplying Pairs of Brackets.

Expanding Brackets Multiply out and simplify. (x + 4) (x + 2) x2x2x2x2 = x 2 + 6x + 8 F O I L F  firsts O  outers I  inners L  lasts + 2x + 4x + 8.

Mathsercise-C Ready? Quadratics Here we go!.

3 ( x + 2 ) = 3 x ( 3 x - 5 ) = 6x - 10 x x x - 5 M May.

Objective: To multiply binomials using Area Model.

照片档案整理一、照片档案的含义二、照片档案的归档范围三、卷内照片的分类、组卷、排序与编号四、填写照片档案说明五、照片档案编目及封面、备考填写六、数码照片整理方法七、照片档案的保管与保护.

공무원연금관리공단 광주지부 공무원대부등 공적연금 연계제도 공무원연금관리공단 광주지부. 공적연금 연계제도 국민연금과 직역연금 ( 공무원 / 사학 / 군인 / 별정우체국 ) 간의 연계가 이루어지지 않고 있 어 공적연금의 사각지대가 발생해 노후생활안정 달성 미흡 연계제도 시행전.

Жюль Верн ( ). Я мальчиком мечтал, читая Жюля Верна, Что тени вымысла плоть обретут для нас; Что поплывет судно громадней «Грейт Истерна»; Что.

Making a Line Plot Collect data and put in chronological order Determine a scale and intervals If you have a small range, you should probably use intervals.

1(1)5 + 5(1)4(2x) + 10(1)3(2x)2 + 10(1)2(2x)3 + 5(1)(2x)4 + 1(2x)5

Starter Multiply the following 2a x 3b 3s x 4t 4d x 6d 3a x a x b

Expanding Brackets and Simplifying

Expand Brackets Low C C B

Algebra Expanding Brackets and Simplifying

Targeting Grade C Starter - Tarsia.

EXPANDING DOUBLE BRACKETS

Substitute numbers into expressions Find and use formulae

Algebraic Expressions

SOLVING QUADRATIC EQUATIONS USING THE FORMULA

Literacy Research Memory Skill Practice Stretch!

Expanding (brackets).

Quadratic Equations and Expressions

Constructing Polygons - Lower

Who Wants to be an Equationaire?. Who Wants to be an Equationaire?

Expanding Brackets.

Starter Multiply the following 2a x 3b 3s x 4t 4d x 6d 3a x a x b

Calculate the value of ‘

C/W Expanding Brackets

Expand Brackets Low C C B

Expand Brackets Low C C B

EXPANDING DOUBLE BRACKETS

Barlogik Mathsbee (final)

Expand Brackets Low C C B

Solving Equations Challenge Answers

1) Expand Brackets 2) Factorise

Presentation transcript:

Find the area of these rectangles x cm 2x + 1 cm x + 2 cm 8 cm 5cm 2cm 21 cm 3 cm 6 cm x cm 10 cm 2 2x 2 + x cm 2 or x(2x + 1) cm 2 8x + 16 cm 2 or 8(x + 2) cm 2 6x cm 2 63 cm 2

L.O. – To be able to expand brackets of the form (2x + 3)(3x – 5) L.O. – To be able to expand brackets of the form (2x + 3)(3x – 5) To be able to expand brackets of the form (3x + y + 2)(2x + 9) To be able to expand brackets of the form (3x + y + 2)(2x + 9)

How do we expand (x+1)(x+3)? x + 3 x + 1 x x x2x2 111 x xxx Area = x 2 + 4x + 3

The simpler way to expand (x+1)(x+3) (x + 1)(x + 3) = x2x2x2x2 + 3x + x + 3 = x 2 + 4x + 3 = x 2 + 4x + 3

And it even works with negative numbers! (x + 4)(x - 2) = x2x2x2x2 - 2x + 4x - 8 = x 2 + 2x -8 = x 2 + 2x -8

Try these examples: Don’t be afraid to draw on the arrows if it helps (x + 2)(x + 5) = x 2 + 7x + 10 (x + 3)(x - 8) = (x – 4)(x + 5) = (x + 2) 2 = (2x + 1)(x + 4) = x 2 – 5x – 24 x 2 + x - 20 x 2 + 4x + 4 x 2 + 4x + 4 (x+2)(x+2) =

How to solve (2x + 1)(x + 4) (2x + 1)(x + 4) = 2x 2 + 8x + x + 4 = 2x 2 + 9x + 4 = 2x 2 + 9x + 4

Now try these examples (2x + 4)(3x + 1) = 6x x + 4 (5x + 2)(x + 3) = (4x + 5)(3x - 2) = (3x - 2)(8x – 5) = (2x + y + 1)(3x + 2) = 5x x x 2 + 7x x x x 2 + 3xy + 7x +2y + 2

Now pick one of the following to solve. Your partner will mark it in a couple of minutes (4x + 3)(2x + 5) = (3x -7)(5x + 2) = (6x + 4)(2x – 3) = 8x x x 2 -29x x x -12