Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. To show the solutions to.

Slides:

Advertisements

Similar presentations

K c and equilibrium. What does K c signify? If K c = 1 then the position of equilibrium is half way between products and reactants If K c > 1 then the.

Advertisements

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To show the solutions to.

What does multiple mean?. X2 TABLE: 2, 4, 6, 8, 10, 12, 14, 16, 18, , , … What pattern do you notice?

Chapter 5 Number Theory © 2008 Pearson Addison-Wesley. All rights reserved.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To remind you how bearings.

N 58 Graphical Solutions to Quadratic Functions Subject Content Reference: N6.7h GCSE Maths Number & Algebra.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To understand how to convert.

Arithmetic Sequences and Series. A sequence is arithmetic if each term – the previous term = d where d is a constant e.g. For the sequence d = 2 nd term.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To demonstrate how to simplify.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Objectives To understand.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To understand another method.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To work through some examples.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To understand how you can.

Arithmetic Sequences Standard: M8A3 e. Use tables to describe sequences recursively and with a formula in closed form.

Draw the next three shapes in the pattern Can You Find the Pattern? 4. 20, 16, 12, 8, ___, ___, __ 5. -9, -4, 1, 6, ___, ___, ___ 6. 1, 10, 100,

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To understand how to answer.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To understand how to approach.

Column Sequences An Investigation Column Sequences Look carefully at the columns shown below and the way in which the numbers are being put into each.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Hints and tips for dealing.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To learn how to deal with.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To understand how to use.

Spot the Pattern Look for the pattern with the sequence of number and write the next 2 numbers in the pattern. 5, 8, 11, 14, , 10,

Arithmetic Sequence Application

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To demonstrate how to solve.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To understand what we mean.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To find the solutions to.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To find a solution for.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To remind how to round.

CHRISTMAS TREE INVESTIGATION. YOUR CHALLENGE IS TO INVESTIGATE THE NUMBER OF RED LIGHTS THE NUMBER OF WHITE LIGHTS AND THE TOTAL NUMBER OF LIGHTS ON CHRISTMAS.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To understand how to divide.

Math 20-1 Chapter 7 Absolute Value and Reciprocal Functions

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To understand how to answer.

Write down the next 3 numbers in each sequence. 1) 2, 4, 6, 8, 10, ……. 2) 1, 3, 5, 7, 9, ……. 3) 1, 4, 9, 16, 25, 36, …… 4) 1, 2, 1, 3, 1, 4, ……. 5) 1,

Objective: Learn to describe the relationships and extend the terms in arithmetic sequence.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To work through a question.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To know how to tell that.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To understand how to construct.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To understand an easy way.

Section 11.2 Arithmetic Sequences and Series Copyright ©2013, 2009, 2006, 2005 Pearson Education, Inc.

 2012 Pearson Education, Inc. Slide Chapter 5 Number Theory.

Arithmetic Sequences Recognize and extend arithmetic sequences.

Lesson 3A: Arithmetic Sequences Ex 1: Can you find a pattern and use it to guess the next term? A) 7, 10, 13, 16,... B) 14, 8, 2, − 4,... C) 1, 4, 9,

Warm up Write the exponential function for each table. xy xy

Unit 4: Sequences & Series 1Integrated Math 3Shire-Swift.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To learn a useful way of.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To understand how to approach.

Number Patterns. Number patterns Key words: Pattern Sequence Rule Term Formula.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To understand how to approach.

Section 4-7: Arithmetic Sequences.

Recognize and extend arithmetic sequences

Chapter 5 Number Theory 2012 Pearson Education, Inc.

©2004 by Pearson Education. ©2004 by Pearson Education.

Column Sequences An Investigation.

To understand how to approach a question about stem and leaf diagrams.

Objectives To understand how to use proportion to find which item is better value. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education.

©2004 by Pearson Education. ©2004 by Pearson Education.

Sequences Describe the pattern in the sequence and identify the sequence as arithmetic, geometric, or neither. 7, 11, 15, 19, … 7, 11, 15, 19, … Answer:

Patterns and Algebraic rules

Arithmetic Sequence Application

What two numbers will give you a product of 64 and a quotient of 4?

KS4 Mathematics AQA Core Maths EL1, EL2, EL3 OCR Functional Skills

Sequences & Modular Arithmetic

Patterns and Algebraic rules

Scatter Plots and Equations of Lines

Explain and use the term: rate of reaction.

What two numbers will give you a product of 64 and a quotient of 4?

Write the recursive and explicit formula for the following sequence

• Describe the three common mechanisms required for AS chemistry

KS4 Mathematics AQA Core Maths EL1, EL2, EL3 OCR Functional Skills

Arithmetic Sequence Application

Presentation transcript:

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To show the solutions to a question about forming and continuing sequences. Objectives

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. 1. Steel beams are used to create a strong bridge support in the following way: Shape 1 has 3 beams.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Shape 2 has 5 beams. 1. Steel beams are used to create a strong bridge support in the following way:

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Shape 3 has 7 beams. 1. Steel beams are used to create a strong bridge support in the following way:

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Shape 4 has 9 beams. 1. Steel beams are used to create a strong bridge support in the following way:

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. 1. How many beams will shape 8 have? 2. If the number of beams is b, find a formula for the number of beams in shape n. 1. Steel beams are used to create a strong bridge support in the following way:

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. 1. Firstly, make a table of values of n and b : Solution n 1234 b

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. 1. Firstly, make a table of values of n and b : n b Solution

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. 1. Firstly, make a table of values of n and b : n 1 b 3 Solution

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. 1. Firstly, make a table of values of n and b : n 12 b 35 Solution

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. 1. Firstly, make a table of values of n and b : n 123 b 357 Solution

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. 1. Firstly, make a table of values of n and b : n 1234 b 3579 Solution

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. 1. Then continue the pattern. n 1234 b 3579 Solution

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. 1. Then continue the pattern. n b 3579 Notice that 2 is added each time. +2 Solution

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. 1. Then continue the pattern. n b Solution

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. 1. Then continue the pattern. n b Solution

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. 1. Then continue the pattern. n b Solution

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. 1. Then continue the pattern n b There are 17 beams in the 8 th shape. Solution

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. n b Look at the difference in each case. +2 Difference = number before n in the formula. But b = 3 when n = 1

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Make sure that you draw a few more shapes than those given in the question. Summary Make a table of values. Look at the differences between values. Use these differences to find a formula.