National 5 Mathematics Applications Notes with Examples
|
|
|
- Benjamin Adam Floyd
- 6 years ago
- Views:
Transcription
1 National 5 Mathematics Notes with Examples
2 Calculating a percentage To calculate a percentage of an amount we divide the percentage by 100 and multiply by the amount. To calculate one number as a percentage of another we divide one number by the other and multiply by 100.
3 Calculating a percentage N5M James sat a test in 3 subjects. His scores are shown below. Maths = Physics = Geography = What test did he do best and worst in? 2. David earned a 5% bonus on his salary of 36,000. How much was his bonus?
4 Percentage increase / decrease To calculate a percentage increase or decrease we: 1. Calculate the increase / decrease 2. Divide by the original value 3. Multiply by 100
5 Percentage increase / decrease N5M The cost of a TV was 540 prior to being on sale. It is now on sale at 480. By what percentage has it decreased? 2. A painting was bought for 34,000 in By 2016, it had increased in value by 62%. How much is it worth in 2016?
6 Compound interest Compound interest is when interest is added over consecutive years. (This interest from year one is subjected to interest in year two and so on). The quick method for calculating this requires you to calculate a multiplier. Multiplier = percentage 100
7 Compound interest N5M 10.3 If I was to invest 3000 in a savings account with an interest rate of 4% how much interest would I earn after five years?
8 Appreciation / depreciation This is a similar calculation to compound interest. Appreciation increase in value over time Multiplier = percentage 100 Depreciation decrease in value over time Multiplier = 100 percentage 100
9 Appreciation / depreciation N5M 10.4 A house was valued at 125,000 in If it appreciated in value by 3% per year, how much is it worth in 2016?
10 Appreciation / depreciation N5M 10.4 A car was valued at 8,500 in If it depreciated in value by 15% per year, how much is it worth in 2016?
11 Reverse percentage Some questions will state the value of an item after a percentage increase or decrease. In these cases we follow these steps: 1. State the new percentage (based on the original value) 2. Calculate 1% by dividing 3. Calculate 100% by multiplying by 100 Evaluating
12 Reverse percentage N5M 10.5 A shirt is in a 20% off sale. The price on the ticket now says How much was the shirt before the sale? Evaluating
13 Reverse percentage N5M 10.5 A car insurance premium increased by 12% from 2015 to The new price for the insurance is How much has the cost of insurance increased by? Evaluating
14 Reverse percentage N5M 10.5 EXAM QUESTION Evaluating
15 Adding / subtracting fractions When adding or subtracting fractions we must ensure that the fractions have a common denominator. To do this we find equivalent fractions to those that are given making sure all fractions have the same value on the bottom of the fraction.
16 Adding / subtracting fractions N5M 11.1 Calculate: (a) (b) (c)
17 Adding / subtracting mixed numbers When adding or subtracting mixed numbers we should always convert to improper fractions then add/subtract as normal fractions (common denominator). To change a mixed number to an improper fraction: 1. Multiply the whole number and denominator 2. Add this to the numerator a b c = a c + b c
18 Adding / subtracting mixed numbers N5M 11.2 Calculate: (a) (b) (c)
19 Multiplying fractions and mixed numbers When multiplying mixed numbers we must convert mixed numbers to improper fractions. Follow these steps: 1. Change to improper fractions 2. Multiply numerators 3. Multiply denominators 4. Simplify.
20 Multiplying fractions and mixed numbers N5M 11.3 Calculate: (a) (b) (c)
21 Multiplying fractions and mixed numbers N5M 11.2 & 11.3 Calculate: (a) (b) ( )
22 Dividing fractions and mixed numbers When dividing mixed numbers we must convert mixed numbers to improper fractions. Follow these steps: 1. Change to improper fractions 2. Flip second fraction and change to multiply 3. Multiply numerators 4. Multiply denominators 5. Simplify.
23 Dividing fractions and mixed numbers N5M 11.4 Calculate: (a) (b) (c)
24 Standard deviation Standard deviation is a measure of variability used in statistics and probability theory. Standard deviation shows how much variation exists from the mean (average).
25 Standard deviation If the standard deviation is low, it indicates that the data points tend to be very close to the mean (more consistent) If the standard deviation is high then it indicates that the data points are spread out over a large range of values (less consistent) 16, 20, 21, 21, 22 mean = 20, low sd 6, 10, 11, 31, 42 mean = 20 high sd
26 Standard deviation Standard deviation is calculated using s = σ (x x) ҧ 2 n 1 But we will use a table to calculate it.
27 Standard deviation N5M 12.1 Calculate the standard deviation of the following data set: 16, 20, 21, 21, 22
28 Standard deviation A Standard deviation question will usually ask you to make two valid comparisons between data sets. You should compare both means and both standard deviations. Analysing
29 Standard deviation When comparing the mean: Data set A (or B) on average When comparing the standard deviation: Data set A (or B) is more consistent than You should always create a table and use numerical comparison in your answers. Analysing
30 Standard deviation N5M 12.2 & 12.3 A survey asked men and women who work for the same company their monthly salary. For men, the mean was 2,145 and the standard deviation was 923. For women, the mean was 1,950 and the standard deviation was 534. Make two valid comparisons. Analysing
31 Five figure summary A five figure summary gives five pieces of information on a data set. L Lowest number Q 1 Quartile 1 (Median of the lower half of the data set) Q 2 Quartile 2 (Median of the full data set) Q 3 Quartile 3 (Median of the upper half of the data set) H Highest number A box plot shows this information in graphical form.
32 Five figure summary
33 Interquartile & semi interquartile range Interquartile and semi interquartile range is a measure of variability. They show how much variation exists from the mean (average). The smaller the IQR or SIQR the more consistent the data is (similar to standard deviation). IQR = Q 3 Q 1 SIQR = Q 3 Q 1 2
34 Boxplots, Interquartile & semi interquartile range N5M 12.4 & 12.5 Construct a boxplot for the following data and calculate the semi interquartile range. 16, 20, 21, 21, 22, 25, 28, 32, 37
35 Interquartile & semi interquartile range N5M 12.6 A survey asked men and women who work for the same company their monthly salary. For men, the median salary was 2,145 and the SIQR was 923. For women, the median salary was 1,950 and the SIQR was 534. Make two valid comparisons. Analysing
36 Scattergraphs A scattergraph is a type of mathematical diagram using Cartesian coordinates to display values for two variables for a set of data (one value on the horizontal axis, one on the vertical axis). The line of best fit is a straight line that represents the points on a scatter graph. There should be roughly the same number of points above the line as below it.
37 Scattergraphs The line of best fit is a straight line that represents the points on a scatter graph. There should be roughly the same number of points above the line as below it. The line of best fit will either represent positive correlation or negative correlation. Analysing
38 Scattergraphs N5M 12.7 (a) Create a scatter graph and calculate the equation of the line of best fit from the following data Pupil A B C D E F G H I Maths Score English Score (b) If Pupil R scores 70% in his Maths test, use the formula to estimate what he should expect to get for English? Analysing
39 Scattergraphs N5M 12.8 Analysing
40 Scattergraphs N5M & (a) Equation of the line of best fit (b) Analysing
41 Area of a triangle The area of any triangle can be calculated using trigonometry it does not need to be a right angled triangle. First we need to be able to label a triangle Evaluating
42 Area of a triangle The area of any triangle can be calculated using Area = 1 2 a b sin C Evaluating
43 Area of a triangle N5M 13.1 Calculate the area of the triangle below. 14cm 30 o 18cm Evaluating
44 Area of a triangle N5M 13.1 EXAM QUESTION Evaluating
45 Area of a triangle N5M 13.2 If the area of the given triangle is 200cm 2, calculate the length of q. R Q 100 o 23mm S Evaluating
46 Area of a triangle N5M 13.3 NON CALCULATOR Given that sin B = 1, calculate the area of the triangle. 4 A C 12mm 16mm B Evaluating
47 The sine rule The sine rule can be used to calculate the length of a side or the size of an angle in any triangle if we are given enough information. a sin A = b sin B = c sin C To use the sine rule: Tick all the information we have, circle what we want and if we have two complete fractions we can use the sine rule. Evaluating
48 Area of a triangle N5M 13.4 Use the sine rule to calculate the length of b. 25 o 12cm 35 o Evaluating
49 Area of a triangle N5M 13.5 Use the sine rule to calculate the size of angle A. 19cm 130 o 12cm Evaluating
50 The cosine rule The cosine rule can be used to calculate the length of a side or the size of an angle in any triangle if we are given enough information. The cosine rule comes in two forms a 2 = b 2 + c 2 2bc cos A cos A = b2 + c 2 a 2 2bc Evaluating
51 Area of a triangle N5M 13.6 Use the cosine rule to calculate the length of b. 235mm 140mm 35 o Evaluating
52 Area of a triangle N5M 13.7 Use the cosine rule to calculate the size of angle A. 10cm 19cm 12cm Evaluating
53 Sine rule or cosine rule? Unsure what rule to use? Start with the cosine rule and if you don t have enough information then you must use the sine rule. Evaluating
54 Sine rule or cosine rule? N5M 13.8 EXAM QUESTION Evaluating
55 Sine rule or cosine rule? N5M 13.8 EXAM QUESTION NON CALCULATOR Evaluating
56 Trigonometry with bearings N5M 13.9 Evaluating
57 Vectors A vector is a quantity that has magnitude and direction in either 2D or 3D. A vector can be shown on a coordinate diagram as a directed line segment. The directed line segment from A to B B is shown in the diagram. This is the vector AB, written as AB Note: AB BA because of the direction. A
58 Directed line segments and component form AB shown in the diagram can be written in component form. AB has an x-component of 4 and a y-component of 6. Written in component form, AB = 4 6 B Written in component form, BA = 4 6 u 6 Notation: AB = u A 4
59 Directed line segments and component form N5M 14.1 Write these vectors in component form. B F a A E
60 Directed line segments and component form N5M 14.1 Draw these vectors as directed line segments. (a) u = 3 4 (b) v = 2 5 (c) CD = 1 5
61 Adding & subtracting vectors We can add and subtract vectors in directed line segment and component form. Directed line segment To add directed line segments we draw the vectors nose to tail. To subtract vectors we flip the positive vector to produce the negative vector then add together. Component form Add/subtract the x-component, add/subtract the y-component and add/subtract the z-component
62 Adding & subtracting vectors 14.2 Draw the resultant vector a + b a b
63 Adding & subtracting vectors 14.3 Draw the resultant vector a - b a b
64 Adding & subtracting vectors 14.4 If u = 3 4, v = 2 5 and w = 4 3 calculate: (a) u + v (b) v + w (c) u v
65 Multiplying a vector by a scalar We can t multiply vectors together yet but we can multiply a vector by a scalar. To do this multiply the x-component by the scalar, multiply the y-component by the scalar and multiply the z-component by the scalar.
66 Multiplying a vector by a scalar 14.6 If u = 3 0 4, v = and w = calculate: (a) 2u (b) 3v (c) 4w
67 Multiplying a vector by a scalar 14.4 & 14.6 If u = 3 4, v = 2 5 and w = 4 2 calculate: (a) 2u + 3v (b) 3v u (c) 1 w + 2v 2
68 Magnitude of a vector The magnitude of a vector is basically its length. This is done by using Pythagoras Theorem which gives the formula AB = x 2 + y 2 AB = x 2 + y 2 + z 2
69 Magnitude of a vector 14.5 If u = 3 2, v = and w = calculate: (a) u (b) v (b) 2v w
70 Coordinates in 3D space You must be able to state the coordinates of a point in 3D space. 3D coordinates have three values: x-coordinate: position in space page from left to right y-coordinate: position in space from front to back z-coordinate: position in space from bottom to top
71 Coordinates in 3D space 14.7 EXAM QUESTION
72 Coordinates in 3D space 14.7 EXAM QUESTION
73 Vector journeys A vector journey is a way of describing a path from one coordinate in space to another. This can be either 2D or 3D. Analysing
74 Vector journeys 14.8 Analysing
Baldragon Academy. Mathematics. Course Plan S5/6. National 5
Baldragon Academy Mathematics Course Plan S5/6 National 5 Summer Term May June 30 Periods (based on 6 periods per week) Flexibility built in, given last week is just before summer holidays Unit 1 Expressions
Year 10 Scheme of work
Year 10 Scheme of work Guidelines The purpose of this scheme of work is to build pupils towards an old style GCSE exam at the end of year 10 (see headings of different tiers on SOW). Pupils will be assessed
Barrhead High School Mathematics Department. National 4 Mathematics. Learning Intentions & Success Criteria: Assessing My Progress
Barrhead High School Mathematics Department National 4 Mathematics Learning Intentions & Success Criteria: Assessing My Progress Expressions and Formulae Topic Learning Intention Success Criteria I understand
S3 / S4 General Course Overview
Unit 3.1 Rounding Nearest whole number Nearest 10, 100, 1000 Multiplying by 10, 100, 1000 by multiples eg. 20, 300, 4000 ividing by 10, 100, 1000 by multiples eg. 20, 300, 4000 Unit 3.2 Angles Types of
aqa GCSE MATHS EXAMINATIoN BoARd CoVERAGE
aqa GCSE MATHS EXAMINATIoN BoARd CoVERAGE TIER ToPIC HEAdING SuB HEAdING Number Integers Ordering numbers y Number Integers Rounding numbers y Number Integers Adding and subtracting whole numbers y y Number
Hegarty Maths Clip Numbers List
Hegarty Maths Clip Numbers List Strand Topic Skill Number Arithmetic with positive integers Simple addition & its meaning 1 Number Arithmetic with positive integers Simple subtraction & its meaning 2 Number
9-1 GCSE Maths. GCSE Mathematics has a Foundation tier (Grades 1 5) and a Higher tier (Grades 4 9).
9-1 GCSE Maths GCSE Mathematics has a Foundation tier (Grades 1 5) and a Higher tier (Grades 4 9). In each tier, there are three exams taken at the end of Year 11. Any topic may be assessed on each of
Mathematics Year 9-11 Skills and Knowledge Checklist. Name: Class: Set : Premier Date Year 9 MEG :
Personal targets to help me achieve my grade : AFL Sheet Number 1 : Standard Form, Decimals, Fractions and Percentages Standard Form I can write a number as a product of it s prime factors I can use the
Year 8 Mathematics Curriculum Map
Year 8 Mathematics Curriculum Map Topic Algebra 1 & 2 Number 1 Title (Levels of Exercise) Objectives Sequences *To generate sequences using term-to-term and position-to-term rule. (5-6) Quadratic Sequences
Higher Course Year /16
Higher Course Year 11 2015/16 Main heading Outcomes MathsWatch clip number Number Surds Use surds in calculations Simplify surds Rationalise surds 157 158 Expand brackets with surds Use surds in problems
National 5: Expressions and Formulae
Biggar High School Mathematics Department National 5 Pupil Booklet National 5: Epressions and Formulae I can simplify and carry out calculations using surds I know how to find the square, square root,
Mathematics Year 9-11 Skills and Knowledge Checklist. Name: Class: Set : 1 Date Year 9 MEG :
Personal targets to help me achieve my grade : AFL Sheet Number 1 : Standard Form, Decimals, Fractions and Percentages Standard Form I can write a number as a product of it s prime factors I can use the
Mathematics Department Level 3 TJ Book Pupil Learning Log. St Ninian s High School. Name Class Teacher. I understand this part of the course =
St Ninian s High School Mathematics Department Level TJ Book Pupil Learning Log I understand this part of the course = I am unsure of this part of the course = I do not understand this part of the course
Whole Numbers and Integers. Angles and Bearings
Whole Numbers and Integers Multiply two 2-digit whole numbers without a calculator Know the meaning of square number Add and subtract two integers without a calculator Multiply an integer by a single digit
Learning Log Title: CHAPTER 7: PROPORTIONS AND PERCENTS. Date: Lesson: Chapter 7: Proportions and Percents
Chapter 7: Proportions and Percents CHAPTER 7: PROPORTIONS AND PERCENTS Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: Chapter 7: Proportions and Percents Date: Lesson: Learning Log
Summary Of Topics covered in Year 7. Topic All pupils should Most pupils should Some pupils should Learn formal methods for
Summary Of Topics covered in Year 7 Topic All pupils should Most pupils should Some pupils should Learn formal methods for Have a understanding of computing multiplication Use the order of basic number
NUMBER 1 ALGEBRA 1 AUTUMN TERM YEAR 7
NUMBER 1 Know what even numbers, odd numbers, factors, multiples, primes, squares and square roots are and how to find them. Find the Highest Common Factor by listing factors and/or using Venn diagrams.
Term Key topics What most pupils will learn (prior assessment may alter starting point & content) How might this learning be extended?
Learning overview for: Mathematics Term Key topics What most pupils will learn (prior assessment may alter starting point & content) Number Factors, multiples and primes HCF and LCM Calculate with negative
T:\Staff Resources\Maths\1 Dept Admin\School website\key Stage 4\GCSE Higher Topic Detail doc 1
Module (time) Contents Notes Number (8) Recognise triangular, square and cube numbers Recall integer squares and corresponding square roots to 15 x 15 Recall the cubes of 2,3,4,5 and 10 Find multiples,
Dalkeith High School Maths Department National 5 Pupil Booklet Name: Teacher:
Dalkeith High School Maths Department National 5 Pupil Booklet Name: Teacher: National 5: Applications Learning Intention I can calculate the area of a triangle using trigonometry. I can draw and label
PARRENTHORN HIGH SCHOOL Mathematics Department. YEAR 11 GCSE PREPARATION Revision Booklet
PARRENTHORN HIGH SCHOOL Mathematics Department YEAR GCSE PREPARATION Revision Booklet Name: _ Class: Teacher: GEOMETRY & MEASURES Area, Perimeter, Volume & Circles AREA FORMULAS Area is the space a 2D
List of NEW Maths content
List of NEW Maths content Our brand new Maths content for the new Maths GCSE (9-1) consists of 212 chapters broken up into 37 titles and 4 topic areas (Algebra, Geometry & Measures, Number and Statistics).
Mathematics. Foundation, term by term schedule Year 7 E1 E2 E3 Year 8 E4 I1 I2 Year 9 I3 I4 A1
Mathematics KS3 at Brighouse High School Year 7 and 8 Foundation Curriculum Overview Foundation, term by term schedule Year 7 E1 E2 E3 Year 8 E4 I1 I2 Year 9 I3 I4 A1 E1.1 Multiply and divide by 10, 100
GCSE Higher Revision List
GCSE Higher Revision List Level 8/9 Topics I can work with exponential growth and decay on the calculator. I can convert a recurring decimal to a fraction. I can simplify expressions involving powers or
Year Nine Scheme of Work. Overview
Year Nine Scheme of Work Overview Unit Topic 1 Angles 2 Manipulating Algebra and Rules of Negatives 3 Place Value and Decimals 4 Sequences 5 Data 6 Fractions 7 Perimeter and Area of Polygons and Circles
Level 4 means that I can
Level 4 means that I can Describe number patterns Find multiples Find factors Work out the square numbers Use word formulae Use co-ordinates in the first quadrant Multiply and divide whole numbers by 10
Stage 1 Place Value Calculations Geometry Fractions Data. Name and describe (using appropriate vocabulary) common 2d and 3d shapes
Stage 1 Place Value Calculations Geometry Fractions Data YEAR 7 Working towards Read and write whole numbers in words and figures Mental methods for addition and subtraction, Name and describe (using appropriate
YEAR 10- Mathematics Term 1 plan
Week YEAR 10- Mathematics Term 1 plan 2016-2017 Course Objectives 1 The number system To understand and use 4 rules and order of operation. To understand and use Recurring decimals. Add subtract multiply
GCSE 2018/2019 GRADING CRITERIA. Dear Students
Dear Students For your mathematics exam, you will have to remember lots of formulae. You will have covered these in class and will have used them over and over again to solve problems. 2018/2019 Make sure
Edexcel Specification Alignment GCSE 2015 / 2016 Exams
This alignment document lists all Mathletics curriculum activities associated with the GCSE 2015 & 2016 Exam course, and demonstrates how these fit with the Edexcel specification for the higher tier GCSE
PRACTICE EXAM CREATORS
PRACTICE EXAM CREATORS Box Packaging - Year 7, 8, 9 and 10 Windows 98, ME, 2000, XP or VISTA Mac OS X Maths skills improve with practice. Confident kids succeed! Improved performance creates confidence.
KS4 Course Outline: Mathematics
6+ Topic Index Sheet, Autumn Term Year 10 D Factorise an expression eg. 6a+8 = 2(3a+4); a 2-3a = a(a - 3) 104 C Factorise an expression with 2 or more factors eg. 4x 3 + 6xy = 2x(2x 2 +3y) 104 D Write
VCEasy VISUAL FURTHER MATHS. Overview
VCEasy VISUAL FURTHER MATHS Overview This booklet is a visual overview of the knowledge required for the VCE Year 12 Further Maths examination.! This booklet does not replace any existing resources that
Year 7 Key Performance Indicators Maths (Number)
Key Performance Indicators Maths (Number) M7.1 N1: I can use the four operations to answer calculations involving decimals. Use correct notation for recurring decimals, know the denominators of simple
MADANI BOYS SCHOOL GCSE Maths Scheme of Work for Higher sets. OVERVIEW for Higher sets
OVERVIEW for Higher sets Chapter Teaching hours Grades UNIT 1: Statistics and Number 1. Data collection 4 D, C, A, Modular topics The data handling cycle, Gathering information, Types of data, Grouped
KS4 Course Outline: Mathematics
Topic Index: Higher tier (6+), Autumn Term Year 10 Grade Topic EFG B A-A* Factorise an expression eg. 6a+8 = 2(3a+4); a 2-3a = a(a - 3) 104 Factorise an expression with 2 or more factors eg. 4x 3 + 6xy
KS3 MATHEMATICS THRESHOLD DESCRIPTORS NUMBER (Incl. RATIO & PROPORTION)
KS3 MATHEMATICS THRESHOLD DESCRIPTORS NUMBER (Incl. RATIO & PROPORTION) Topic Integers Decimals Approximation Fractions Concepts and skills Read, write, order and compare positive integers up to 1000 Add
- number of elements - complement linear, simple quadratic and cubic sequences - exponential sequences and - simple combinations of these
IGCSE Mathematics Revision checklist 2016. Syllabus 1 Numbers, set notation and language 1 Identify and use: - natural s - prime s - square s - common factors (HCF) - common multiples (LCM) - rational
Chislehurst and Sidcup Grammar School Mathematics Department Year 9 Programme of Study
Chislehurst and Sidcup Grammar School Mathematics Department Year 9 Programme of Study Timings Topics Autumn Term - 1 st half (7 weeks - 21 lessons) 1. Algebra 1: Expressions, Formulae, Equations and Inequalities
AQA Specification Alignment GCSE 2015 / 2016 Exams
This alignment document lists all Mathletics curriculum activities associated with the GCSE 2015 & 2016 Exam course, and demonstrates how these fit with the AQA specification for the higher tier GCSE being
MERBEIN P-10 COLLEGE MATHS SCOPE & SEQUENCE
MERBEIN P-10 COLLEGE MATHS SCOPE & SEQUENCE Year Number & Algebra Measurement & Geometry Statistics & Probability P Numbers to 20 Location Data collection Counting and comparing groups Length Ordinal numbers
Level8opaedia. A level is a level. Compiled for
Level8opaedia A level is a level Compiled for www.glosmaths.org, 2008 Numbers and the Number System Understand the equivalence between recurring decimals and fractions Decide which of the following fractions
I can solve simultaneous equations algebraically, where one is quadratic and one is linear.
A* I can manipulate algebraic fractions. I can use the equation of a circle. simultaneous equations algebraically, where one is quadratic and one is linear. I can transform graphs, including trig graphs.
1a 1b 1c. 1a 1b 1c. 6 7a 7b b
General Question Paper Analysis 2001-2009 2001 2002 2003 2004 2005 2006 2007 2008 2009 Calculations and basic numeracy BODMAS Add, subtract, divide, multiply Multiply or divide by multiples of 10 Squares,
Integer Operations. Summer Packet 7 th into 8 th grade 1. Name = = = = = 6.
Summer Packet 7 th into 8 th grade 1 Integer Operations Name Adding Integers If the signs are the same, add the numbers and keep the sign. 7 + 9 = 16-2 + -6 = -8 If the signs are different, find the difference
Stage 7 Checklists Have you reached this Standard?
Stage 7 Checklists Have you reached this Standard? Main Criteria for the whole year. J K L Use positive integer powers and associated real roots Apply the four operations with decimal numbers Write a quantity
Cecil Jones Academy Mathematics Fundamentals
Year 10 Fundamentals Core Knowledge Unit 1 Unit 2 Estimate with powers and roots Calculate with powers and roots Explore the impact of rounding Investigate similar triangles Explore trigonometry in right-angled
Coatbridge High School Mathematics Department. Homework Booklet. CfE Level 4
Coatbridge High School Mathematics Department Homework Booklet CfE Level 4 MNU 4-01a: Having investigated the practical impact of inaccuracy and error, I can use my knowledge of tolerance when choosing
Mathematics Curriculum
Mathematics Curriculum Pathway A Pupils who enter St Hilda s with a scaled score of approximately 110 or above from KS2, begin working on the Year 8 curriculum (approximately GCSE grades 3 and 4). These
Stage 1 (intervention) Stage 2 Stage 3 Stage 4. Advanced 7-8. Secure 4-6
Stage 1 (intervention) Stage 2 Stage 3 Stage 4 YEAR 7 LAT Grade Emerging (not secondary read) 1-3 Secure 4-6 Advanced 7-8 Advanced + 9 YEAR 8 1 Emerging 2-3 Secure 4-6 Advanced 7-9 Autumn 1 Place Value
Year 10 Mathematics Scheme of Work. Higher and Foundation
Year 10 Mathematics Scheme of Work Higher and Foundation Tiers Sets 1 and 2 will do the Higher specification. Sets 3 and 4 will do the Higher specification but with a focus on the topics that overlap Higher
AQA GCSE Maths - Higher Self-Assessment Checklist
AQA GCSE Maths - Higher Self-Assessment Checklist Number 1 Use place value when calculating with decimals. 1 Order positive and negative integers and decimals using the symbols =,, , and. 1 Round to
GCSE-AS Mathematics Bridging Course. Chellaston School. Dr P. Leary (KS5 Coordinator) Monday Objectives. The Equation of a Line.
GCSE-AS Mathematics Bridging Course Chellaston School Dr (KS5 Coordinator) Monday Objectives The Equation of a Line Surds Linear Simultaneous Equations Tuesday Objectives Factorising Quadratics & Equations
Department Curriculum Map (new GCSE)
Department Curriculum Map 2014-15 (new GCSE) Department Mathematics required in Year 11 Foundation 1. Structure and calculation: N1 to N9 Fractions, decimals and percentages: N10 to N12 Measure and accuracy:
KS4 Curriculum Plan Maths HIGHER TIER Year 9 Autumn Term 1 Unit 1: Number
KS4 Curriculum Plan Maths HIGHER TIER Year 9 Autumn Term 1 Unit 1: Number 1.1 Number problems and reasoning 1.2 Place value and estimating 1.3 HCF and LCM 1.4 Calculating with powers (indices) 1.5 Zero,
Maths Key Stage 3 Scheme of Work Number and measures Place value Calculations Calculator Measures
Maths Key Stage 3 Scheme of Work 2014 Year Autumn Spring Summer 7 Number Integers, order positive and negative numbers Low: Use the 4 operations, starting with addition and subtraction, positive numbers
Suggested Foundation Topics for Paper 2
Suggested Foundation Topics for Paper 2 Number N a N b N b N c N d Add, subtract, multiply and divide any positive and negative integers Order decimals and integers Order rational numbers Use the concepts
WHOLE NUMBER AND DECIMAL OPERATIONS
WHOLE NUMBER AND DECIMAL OPERATIONS Whole Number Place Value : 5,854,902 = Ten thousands thousands millions Hundred thousands Ten thousands Adding & Subtracting Decimals : Line up the decimals vertically.
Paper 2 and Paper 3 Predictions
Paper 2 and Paper 3 Predictions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You will need a calculator Guidance 1. Read each question carefully before you begin answering
YEAR 9 SCHEME OF WORK
YEAR 9 SCHEME OF WORK Week Chapter: Topic 1 2 3.1:1: Percentages 3.2:1: Percentages 3 4 3.1:2: Equations and formulae 3.2:2: Equations and formulae 5 6 3.1:3: Polygons 3.2:3: Polygons 6 7 3.1:4: Using
Mathematics GCSE 9-1 Curriculum Planner (3 Year Course)
Mathematics GCSE 9-1 Curriculum Planner (3 Year Course) Year 9 Week 1 2 3 4 5 6 7 8 HT 9 1 0 Chapter 1 Calculations Chapter 2 Expressions Ch 1, 2 Test Chapter 3 Angles, polygons Chapter 3 11 12 13 14 15
MATHEMATICS DEPARTMENT COURSE OUTLINE TERM 1/2/3 YEAR 7
MATHEMATICS DEPARTMENT COURSE OUTLINE 2016-17 TERM 1/2/3 YEAR 7 Week Topic YEAR 7- Mathematics Term 1 plan 2016-2017 Learning outcomes 1/2 Numbers and the number system Recall prime numbers up to 50 Know
I can solve simultaneous equations algebraically and graphically. I can solve inequalities algebraically and graphically.
B I can factorise and expand complex expressions. I can factorise Quadratics I can recognise the Difference of Two Squares (D.O.T.S) simultaneous equations algebraically and graphically. inequalities algebraically
Mathematics. Year 7. Autumn Term
Mathematics Year 7 Autumn Term Decimals o Use place value with decimals o Add and subtract, multiply and divide decimal numbers Basic Arithmetic o Multiply by a two or three digit number o Divide by a
Angles and Polygons. Angles around a point, on a straight line and opposite angles. Angles in parallel lines (alt, corr and co-int angles)
Curriculum Long Term Planning Overview Key Stage 4 Subject Area: Maths Academic Year: 08-9 Year Year 9 Higher Calculations Order integers, decimals and negatives Rounding to decimal places and significant
Cecil Jones Academy Mathematics Fundamental Map
Fundamentals Year 7 (Core) Knowledge Unit 1 Unit 2 Solve problems involving prime numbers Use highest common factors to solve problems Use lowest common multiples to solve problems Explore powers and roots
Math 7 Glossary Terms
Math 7 Glossary Terms Absolute Value Absolute value is the distance, or number of units, a number is from zero. Distance is always a positive value; therefore, absolute value is always a positive value.
To be a grade 1 I need to
To be a grade 1 I need to Order positive and negative integers Understand addition and subtraction of whole numbers and decimals Apply the four operations in correct order to integers and proper fractions
CAMBRIDGE TECHNOLOGY IN MATHS Year 11 TI-89 User guide
Year 11 TI-89 User guide Page 1 of 17 CAMBRIDGE TECHNOLOGY IN MATHS Year 11 TI-89 User guide CONTENTS Getting started 2 Linear equations and graphs 3 Statistics 5 Sequences 11 Business and related mathematics
YEAR 11 GCSE MATHS REVISION CHECKLIST HIGHER TIER
YEAR 11 GCSE MATHS REVISION CHECKLIST HIGHER TIER TOPICS ARE CATEGORISED VIA MATHS STRANDS NUMBER TOPICS 1 Number Grade 3 to 9 J K L 1.1 Number problems and Work out the total number of ways of performing
Year 11 Key Performance Indicators Maths (Number)
Key Performance Indicators Maths (Number) M11.1 N1: Four operations with decimals and using the order of operations correctly. Solve problems using mathematical reasoning. Four rules of negative numbers
Year 7 Knowledge/Content Understanding Skills Students will
Age Related Expectations in KS3 Maths 2017-2018 Year 7 Knowledge/Content Understanding Skills Use the vocabulary of prime numbers, factors (or divisors), multiples, common factors, common multiples, highest
Level 4 Course Outline. Unit 1
Level 4 Course Outline Unit 1 1 Tolerance and Accuracy (Include Sig. Fig. s) MNU 4-01a, 4-11a I can round to any number of significant figures. I am aware that error and inaccuracy rounding can be caused
Middle School Mathematics Trimester 2 Subject Overview
1 Class 7 Linear Graphs Sequences Data Handling Perimeter and Area Read and plot coordinates of points determined by geometric information in all four quadrants Generate coordinate pairs that satisfy a
Maths Curriculum Map
Year 7 Maths Curriculum Map Autumn Spring Summer Analysing Data: Calculating Averages Construct and Interpret Charts Number Skills: Order of operations Rounding and estimating Negative numbers Prime numbers,
Further Maths Notes. Common Mistakes. Read the bold words in the exam! Always check data entry. Write equations in terms of variables
Further Maths Notes Common Mistakes Read the bold words in the exam! Always check data entry Remember to interpret data with the multipliers specified (e.g. in thousands) Write equations in terms of variables
Cambridge IGCSE mapping
Cambridge IGCSE mapping Specification point Boardworks presentation 1. Number, set notation and language Identify and use natural numbers, integers (positive, negative and zero), prime numbers, square
Calculating bounds in area and volume questions Manipulating complex indices, including surds Solving simultaneous equations - one linear and one
Calculating bounds in area and volume questions Manipulating complex indices, including surds Solving simultaneous equations - one linear and one quadratic Using equation of a circle and finding points
Time Topic What students should know Mathswatch links for revision Number problems and reasoning
. Number problems and reasoning Work out the total number of ways of performing a series of tasks.. Place value and estimating Estimate an answer. Use place value to answer questions. 9 - Using Place Value
GCSE Maths for Edexcel
GCSE Maths for Edexcel 4th Edition Foundation Scheme of Work Using Maths Frameworking 3rd edition Pupil Books 1.3, 2.3 and 3.3 and Edexcel GCSE Maths 4th edition Foundation Student Book together will give
Unit 3 Higher topic list
This is a comprehensive list of the topics to be studied for the Edexcel unit 3 modular exam. Beside the topics listed are the relevant tasks on www.mymaths.co.uk that students can use to practice. Logon
Spring 2: Circles, Pythagoras and prisms Circumference of a circle, area of a circle, Pythagoras s theorem, prisms and cylinders, Errors and bounds.
Subject: Mathematics Year 9 Overview Gamma Key content knowledge and skills Autumn 1: Indices and standard form, expressions and formulae Indices, calculations and estimates, more indices, standard form,
Summer Packet 7 th into 8 th grade. Name. Integer Operations = 2. (-7)(6)(-4) = = = = 6.
Integer Operations Name Adding Integers If the signs are the same, add the numbers and keep the sign. 7 + 9 = 16 - + -6 = -8 If the signs are different, find the difference between the numbers and keep
Y9 Maths. Summative Assessment 1 hour written assessment based upon modules 1-5 during Autumn 2. Term Cycle 1
Term Cycle 1 Whole Numbers and Decimals Powers of 10 Rounding Order of operations Multiples, factors, divisibility and prime numbers Prime factors, the HCF and the LCM Ordering decimals Estimating and
Confidence Level Red Amber Green
Maths Topic Foundation/ 1 Place Value 2 Ordering Integers 3 Ordering Decimals 4 Reading Scales 5 Simple Mathematical Notation 6a Interpreting Real-Life Tables Time 6b Interpreting Real-Life Tables Timetables
Subject Summary: Mathematics
Subject Summary: Mathematics Years 7 to 10 The scheme of work a student follows is based on their ability rather than their year group. We refer to each scheme of work as a Stage. Each Stage is numbered,
Band Topic Mastery Statements - I can Essential Knowledge - I know Whole order decimals and negative numbers.
Year 7 Maths Assessment Criteria Assessment 1 Band Topic Mastery Statements - I can Essential Knowledge - I know Whole order decimals and negative numbers. know and understand place value in Numbers and
Autumn Autumn 2 1. Spring 1 1
YEAR 10 HIGHER : Term Week Autumn 1 1 7 Autumn 1 7 Spring 1 1 Spring 1 Summer 1 1 Summer 1 : 017-18 YEAR 10: 017-18 Basic Number Baseline testing Basic Number Fractions, ratios and proportions Fractions,
INTERMEDIATE 1 MATHS LESSONS ON MYMATHS AND CONQUER MATHS
INTERMEDIATE 1 MATHS LESSONS ON MYMATHS AND CONQUER MATHS MATHS 1 (INT 1) L.O. 1 Basic Calculations Rounding to nearest 10, 100, 1000 Decimal places Percentage of a quantity Simple Interest for part of
CURRICULUM STRUCTURE Topics Covered Term 1: Term 2: Term 3:
CURRICULUM STRUCTURE Topics Covered Term 1: Term 2: Term 3: Year 7 The four operations Place value Ordering numbers Inverse operations Perimeter and area of shapes Fractions and Decimals Order of operations
Dyffryn School Ysgol Y Dyffryn Mathematics Faculty. Intermediate Course Content
Dyffryn School Ysgol Y Dyffryn Mathematics Faculty Intermediate Course Content 1. Number. 4 rules Multiplying/dividing by multiples of 10 Factors, multiples, primes 4 rules of negative numbers Order directed
GCSE Linear Targeting Grade A
GCSE Linear Targeting Grade A Notes This scheme of work relates to the AQA GCSE Specification 8300. Students will sit the examination in the Summer of Year 11. The changes required to incorporate the new
Fractions, Decimal Fractions. Whole Numbers. and Percentages. Decimals. Ratio. Special Numbers. Algebra. Scientific Notation
Whole Numbers Fractions, Decimal Fractions 4.03a 4.03b I can solve problems in context using whole numbers I can use the order of operations to carry out a calculation 4.07a and Percentages I know when
Year 9 Mathematics (1-2) Long Term Plan
Year 9 Mathematics (1-2) Long Term Plan 2018-19 Place value Decimals Addition Subtraction Long multiplication Long Division Powers of 10 Function machines expressions + - expressions x Name and sketch
Year 8 Review 1, Set 1 Number confidence (Four operations, place value, common indices and estimation)
Year 8 Review 1, Set 1 Number confidence (Four operations, place value, common indices and estimation) Place value Digit Integer Negative number Difference, Minus, Less Operation Multiply, Multiplication,
KS3 Curriculum Plan Maths - Core Year 7
KS3 Curriculum Plan Maths - Core Year 7 Autumn Term 1 Unit 1 - Number skills Unit 2 - Fractions Know and use the priority of operations and laws of arithmetic, Recall multiplication facts up to 10 10,
Mathematics is taught in accordance with the National Curriculum. Students study Number, Algebra, Shape and Space and Data Handling and Probability.
Year Group: 7 (Foundation Set 4) and teachers to identify strengths and areas for further practice. A 1 hour exam is taken at the end of each term. 1. Analysing and displaying data Finding information
Route Map (Start September 2012) Year 9
Route Map (Start September 2012) Year 9 3 th 7 th Sept 10 th -14 th Sept 17 th 21 st Sept 24 th 28 th Sept 1 st -5 th Oct 8 th -12 th Oct 15 th 19 th Oct 22 nd -26 th Oct 29 th Oct-2 nd Nov 5 th -9 th
St John s Curriculum Overview Year 8
St John s Curriculum Overview Year 8 Introduction Subject title Mathematics During the course of the year students will build upon their knowledge Setting arrangements Time allowance each fortnight Students
Mathematics Department Inverclyde Academy
Common Factors I can gather like terms together correctly. I can substitute letters for values and evaluate expressions. I can multiply a bracket by a number. I can use common factor to factorise a sum