Estimating Tolerance Accuracy (Rounding, including sig. fig.) Scientific notation

Size: px
Start display at page:

Download "Estimating Tolerance Accuracy (Rounding, including sig. fig.) Scientific notation"

Transcription

1 S3 Pathways for learning in Maths Pathway 1 (Lower) Pathway 2 (Middle) Pathway 3 (Upper) Targets Complete coverage of level 3 experiences and outcomes in Mathematics Cover level 4 experiences and outcomes that relate to lifeskills Complete Maths or Lifeskills Maths at National 3 or 4 by end of S4 Targets Complete coverage of level 4 experiences and outcomes in Mathematics Develop skills at the fourth level and be working at a level equivalent to National 4 by the end of S3 Be in a position to attempt National 5 Maths in S4, possibly with a view to repeating or being presented for the Nat 5 Maths exam in S5 Targets Be secure at the fourth level by the end of S3 Have been challenged to work beyond the fourth level by the end of S3 Pass National 5 Maths in S4 1 Skills related to measurement Select appropriate units Use appropriate units Equivalence of units 2 Skills related to calculation BODMAS (using basic calculators) Negative numbers (with and without calculators) Squares and square roots (using scientific calculators) 1 Skills related to measurement Estimating Tolerance Accuracy (Rounding, including sig. fig.) Scientific notation 2 Skills related to calculation Substitution of positive and negative numbers into formulae and expressions Squares & square roots Cubes & cube roots Fraction, decimal and percentage calculations Calculator skills (powers, roots, brackets etc.) Summer holidays 1 Skills related to measurement Estimating Tolerance Accuracy (Rounding, including sig. fig.) Scientific notation Approximately 1½ weeks 2 Skills related to calculation Squares & square roots Cubes & cube roots Fraction, decimal and percentage calculations Calculator skills (powers, roots, brackets etc.)

2 3 Time 12-hour and 24-hour clock times Time intervals Time management (timetables) Practical activities (stopwatches) Simple speed, distance time calculations 4 Scale drawings, maps and plans Giving directions Interpreting directions Simple scale drawings 3 Speed, Distance & Time Time as a fraction and decimal fraction Consistency of units, including converting units for speed Calculations for distance, speed and time Distance-time graphs 4 Scale drawings, maps and plans Recap on bearings Recap on different forms of scale Recap on calculations involving scale Make calculations using scale drawings (recap on S1/2 work may be required) 3 Speed, Distance & Time Time as a fraction and decimal fraction Consistency of units, including converting units for speed Calculations for distance, speed and time Distance-time graphs Velocity-time/distance graphs 4 Scale drawings, maps and plans Make calculations using scale drawings (lay foundation for understanding triangle calculations, multi-stage problems with bearings etc.) Investigate drawing triangles (aim for pupils to understand the information required to make a triangle unique) 5 Chance and uncertainty Simple evaluation of risk Logic diagrams (tree diagrams, tables of permutations, flowcharts etc.) 5 Chance and uncertainty Recap on calculating simple probability Logic diagrams (tree diagrams, tables of permutations, flowcharts etc.) Calculate probability from information in a table or diagram Relative Frequency & making predictions Approximately 1½ weeks 5 Chance and uncertainty Recap on calculating simple probability Logic diagrams (tree diagrams, tables of permutations, flowcharts etc.) Calculate probability from information in a table or diagram Combined probabilities, P(A or B) Combined probabilities, P(A and B) Relative Frequency & making predictions Approximately 1 week

3 6 Algebraic expressions Recap collecting like terms Recap multiplying terms Simplifying expressions Substitution into simple formulae Multiplying brackets (by a single term) 7 Lengths and Perimeter Perimeter of simple 2D shapes Problems involving length and perimeter 6 Brackets and factors Recap multiplying brackets from S2 Factorise sum/difference using numerical common factors Factorise sum/difference using algebraic common factors 7 Pythagoras Theorem Know relationship between sides in a right-angled triangle, a 2 + b 2 = c 2 Calculate hypotenuse Calculate shorter side Apply to problems in context Distance between 2 points (by plotting points) 6 Brackets and factors Multiplying binomials Factorise sum/difference using numerical common factors Factorise sum/difference using algebraic common factors Approximately 1½ weeks 7 Pythagoras Theorem Know relationship between sides in a right-angled triangle, a 2 + b 2 = c 2 Calculate hypotenuse Calculate shorter side Apply to problems in context Distance between 2 points (distance formula) Using Pythagoras twice Using Pythagoras in 3D shapes Assessment at level 3 on: 1. Skills related to measurement 2. Skills related to calculation 3. Time 4. Scale drawings, maps and plans 5. Chance and uncertainty 6. Algebraic expressions 7. Lengths and Perimeter Assessment at level 4 on: 1. Skills related to measurement 2. Skills related to calculation 3. Speed, Distance & Time 4. Scale drawings, maps and plans 5. Chance and uncertainty 6. Brackets and factors 7. Pythagoras Theorem October Holiday Assessment at level 4 with level 5 extension on: 1. Skills related to measurement 2. Skills related to calculation 3. Speed, Distance & Time 4. Scale drawings, maps and plans 5. Chance and uncertainty 6. Brackets and factors 7. Pythagoras Theorem

4 8 Money Revise percentage calculations Basic pay Pay slips Benefits and allowances Bills Best Buy Budgeting Savings 9 Area & Volume Area of irregular shapes Area of square and rectangle Volume of cuboid Circumference and area of a circle 10 Tessellations and Tiling Extend/Create patterns Formulae for linear number patterns Tiling Problems 3D Packaging Rotational symmetry 8 Money Revise percentage calculations Backward percentage calculations Salary, monthly pay, weekly wage Gross pay calculation Deductions Net pay and pay slips Insurance (Travel, Life, Household) 9 Area & Volume Recap on area and circumference of a circle Problems involving rolling and turning Surface area for shapes with flat faces Surface area of a cylinder Volume of a prism Volume of a cylinder 10 Trigonometry in right-angled triangles Using the Sine ratio (to calculate the length of an opposite side and angles) Using the Cosine ratio Using the Tangent ratio SOH-CAH-TOA Christmas Holiday 8 Money Revise compound percentage calculations Revise backward percentage calculations Salary, monthly pay, weekly wage Gross pay calculation Deductions (including income tax, national insurance etc.) Net pay and pay slips Insurance (Travel, Life, Household) Appreciation and depreciation Approximately 3½ weeks 9 Area & Volume Recap on area and circumference of a circle Problems involving rolling and turning Surface area for shapes with flat faces Surface area of a cylinder Volume of a prism Volume of a cylinder Problem solving (e.g. working backwards) Effects of doubling, halving a dimension Approximately 3 weeks 10 Trigonometry in right-angled triangles Using the Sine ratio (to calculate the length of an opposite side and angles) Using the Cosine ratio Using the Tangent ratio SOH-CAH-TOA Calculating a denominator

5 Assessment at level 3 on: 1. Money 2. Area & Volume 3. Tessellations and Tiling 4. some questions on work done before October: Skills related to measurement, Skills related to calculation, Time, Scale drawings, maps and plans, Chance and uncertainty, Algebraic expressions, Lengths and Perimeter Assessment at level 4 on: 1. Money 2. Area & Volume 3. Trigonometry in right-angled triangles 4. some questions on work done before October: Skills related to measurement, Skills related to calculation, Speed, Distance & Time, Scale drawings, maps and plans, Chance and uncertainty, Brackets and factors, Pythagoras Theorem Assessment at level 4 with level 5 extension on: 1. Money 2. Area & Volume 3. Trigonometry in right-angled triangles 4. some questions on work done before October: Skills related to measurement, Skills related to calculation, Speed, Distance & Time, Scale drawings, maps and plans, Chance and uncertainty, Brackets and factors, Pythagoras Theorem 11 Information Handling Tables, lists and tally charts Totals and simple averages Graphs Interpreting data Construct frequency table with class intervals 12 Solving equations Revise simple equations (a + 3 = 15) if necessary Revise balancing and attempt to move on to change side, change operation 11 Information Handling Dot Plots Stem and Leaf diagrams Drawing pie charts Discrete, continuous and grouped data Mean, median, mode and range 12 Equations and Inequalities Solve equations of the form ax + b = cx + d Solve inequalities of the same form Applying equations and inequations to problems in context. 11 Information Handling Revise S2 Information Handling (standard deviation, line of best fit etc.) Approximately 2½ weeks 12 Equations and Inequalities Solve equations of the form ax + b = cx + d Solve inequalities of the same form Applying equations and inequations to problems in context. Inequalities that involve reversing the sign Identify a suitable domain for inequalities in context Approximately 1 week

6 13 Coordinates Reading coordinates Plotting coordinates Completing coordinate diagrams 14 Similar Shapes Enlargement and reduction using a scale factor 15 Angles Drawing and measuring Complementary angles Supplementary angles Angles in a triangle Vertically opposite angles (X) Angles in parallel lines (F, Z, U) Angle calculations in 2D shapes 13 Graphs and Equations of Straight lines Gradient Full range of gradient (including negative, zero and undefined) Equations for horizontal and vertical lines Draw a line y = mx + c by completing a table of values Identify gradient, m and y-intercept, c 14 Similar Shapes Enlarge and reduce shapes using a scale factor Calculate linear scale factor Calculate an unknown length using scale factor and/or equal ratios Similar areas 15 Angles and Circles Recap on angle properties Angle in a semi-circle Relationship between tangent and diameter 13 Graphs and Equations of Straight lines Gradient Full range of gradient (including negative, zero and undefined) Equations for horizontal and vertical lines Finding the midpoint of a line segment Draw a line y = mx + c by completing a table of values Identify gradient, m and y-intercept, c Determine equation y = mx + c from a diagram 14 Similar Shapes Enlarge and reduce shapes using a scale factor Calculate linear scale factor Calculate an unknown length using scale factor and/or equal ratios Similar areas Similar volumes 15 Angles and Circles Recap on angle properties Angle calculations in a polygon Angle in a semi-circle Relationship between tangent and diameter Chords and perpendicular bisectors

7 16 Ratio Equivalent ratio Real-life problems involving ratio (mixing paint, cooking recipes etc.) Simple applications of direct proportion Level 3 Assessment To assess breadth, depth and challenge across all work covered to date 16 Ratio & Proportion Revise direct proportion Graphing direct proportion Inverse proportion Easter Holiday Level 4 Assessment To assess breadth, depth and challenge across all work covered to date 16 Variation Formulae for direct variation Formulae for inverse variation Formulae for joint variation Level 4 assessment with level 5 extension questions To assess breadth, depth and challenge across all work covered to date

8 17 Preparation for fallback qualifications For pupils who are going to work on National 3 Lifeskills Mathematics in S4, National 2 Lifeskills Mathematics units could be banked: Number and Number Processes Shape, Space and Data Money Time Measurement For pupils who are going to work on National 4 Mathematics in S4, National 3 Lifeskills Mathematics units could be banked: Shape, Space & Measures Manage Money & Data Numeracy Pupils may be asked to sit the relevant SQA unit tests under formal test conditions. 17 Preparation for fallback qualifications For pupils who are going to work on Maths or Lifeskills Maths at National 4 in S4, National 3 Lifeskills Mathematics units could be banked: Shape, Space & Measures Manage Money & Data Numeracy For pupils who are going to work on National 5 Mathematics in S4, National 4 Mathematics units should be banked: Numeracy (essential) Expressions and Formulae Relationships Added Value (essential) The fallback position is less clear from National 5 to National 4 because the units are not hierarchical. It is therefore essential that all pupils who are going to attempt National 5 Mathematics sit and pass both the Numeracy and Added Value units at National 4. These are SQA unit tests and will be carried out under formal test conditions. Change of Timetable 17 Preparation for fallback qualifications For pupils who are going to work on National 5 Mathematics in S4, National 4 Mathematics units should be banked: Numeracy (essential) Expressions and Formulae Relationships Added Value (essential) The fallback position is less clear from National 5 to National 4 because the units are not hierarchical. It is therefore essential that all pupils who are going to attempt National 5 Mathematics sit and pass both the Numeracy and Added Value units at National 4. These are SQA unit tests and will be carried out under formal test conditions. National 3 Lifeskills Mathematics National 4 Mathematics National 5 Mathematics

Estimating Tolerance Accuracy (Rounding, including sig. fig.) Scientific notation

Estimating Tolerance Accuracy (Rounding, including sig. fig.) Scientific notation S3 Pathways for learning in Maths Pathway 1 (Lower) Pathway 2 (Middle) Pathway 3 (Upper) Targets Complete coverage of level 3 experiences and outcomes in Mathematics Cover level 4 experiences and outcomes

More information

Decide how many topics you wish to revise at a time (let s say 10)

Decide how many topics you wish to revise at a time (let s say 10) 1 Minute Maths for the Higher Exam (grades B, C and D topics*) Too fast for a first-time use but... brilliant for topics you have already understood and want to quickly revise. for the Foundation Exam

More information

AQA GCSE Linear Calculator Examination Foundation - June 9th 2016

AQA GCSE Linear Calculator Examination Foundation - June 9th 2016 Foundation - June 9th 2016 Clip Name of Clip Grade Comment 4 Reading Scales E, F and G Quick revision 9 Square and Cube Numbers E, F and G Quick revision 20 Decimal Places & Significant Figures E, F and

More information

S1/2 Checklist S1/2 Checklist. Whole Numbers. No. Skill Done CfE Code(s) 1 Know that a whole number is a normal counting

S1/2 Checklist S1/2 Checklist. Whole Numbers. No. Skill Done CfE Code(s) 1 Know that a whole number is a normal counting Whole Numbers 1 Know that a whole number is a normal counting MNU 0-0a number such as 0, 1,, 3, 4, Count past 10 MNU 0-03a 3 Know why place value is important MNU 1-0a 4 Know that approximating means to

More information

Mrs. Ambre s Math Notebook

Mrs. Ambre s Math Notebook Mrs. Ambre s Math Notebook Almost everything you need to know for 7 th grade math Plus a little about 6 th grade math And a little about 8 th grade math 1 Table of Contents by Outcome Outcome Topic Page

More information

CCE Calendar for Session Delhi Region (Split-up Syllabus) Class VI- Mathematics TERM I

CCE Calendar for Session Delhi Region (Split-up Syllabus) Class VI- Mathematics TERM I CCE Calendar for Session 2016-2017 Delhi Region (Split-up Syllabus) Class VI- Mathematics TERM I MONTHS CHAPTER/TOPIC SUB TOPICS TO BE COVERED NUMB ER OF PERIO DS SUGGESTED ACTIVITIES CH 1. Knowing Our

More information

National 4 Applications of Mathematics Revision Notes. Last updated January 2019

National 4 Applications of Mathematics Revision Notes. Last updated January 2019 National 4 Applications of Mathematics Revision Notes Last updated January 019 Use this booklet to practise working independently like you will have to in course assessments and the Added Value Unit (AVU).

More information

Progressive Primary Mathematics Book 6: Sample Schemes of Work: Term One

Progressive Primary Mathematics Book 6: Sample Schemes of Work: Term One Progressive Primary Mathematics Book 6: Sample : Term One WEEK 1 1 Whole Place values of pupils should be able to recognize identify the place values total values of, read write in words in figures up

More information

TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7

TenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7 EngageNY Module 1: Ratios and Proportional Relationships Topic A: Proportional Relationships Lesson 1 Lesson 2 Lesson 3 Understand equivalent ratios, rate, and unit rate related to a Understand proportional

More information

Math + 4 (Red) SEMESTER 1. { Pg. 1 } Unit 1: Whole Number Sense. Unit 2: Whole Number Operations. Unit 3: Applications of Operations

Math + 4 (Red) SEMESTER 1.  { Pg. 1 } Unit 1: Whole Number Sense. Unit 2: Whole Number Operations. Unit 3: Applications of Operations Math + 4 (Red) This research-based course focuses on computational fluency, conceptual understanding, and problem-solving. The engaging course features new graphics, learning tools, and games; adaptive

More information

1 of 5 8/11/2014 8:24 AM Units: Teacher: AdvancedMath, CORE Course: AdvancedMath Year: 2012-13 Ratios s Ratios s Ratio Applications of Ratio What is a ratio? What is a How do I use ratios proportions to

More information

AGS Math Algebra 2 Correlated to Kentucky Academic Expectations for Mathematics Grades 6 High School

AGS Math Algebra 2 Correlated to Kentucky Academic Expectations for Mathematics Grades 6 High School AGS Math Algebra 2 Correlated to Kentucky Academic Expectations for Mathematics Grades 6 High School Copyright 2008 Pearson Education, Inc. or its affiliate(s). All rights reserved AGS Math Algebra 2 Grade

More information

2012 Mathematics. Intermediate 1 Units 1, 2 & 3 Paper 1. Finalised Marking Instructions

2012 Mathematics. Intermediate 1 Units 1, 2 & 3 Paper 1. Finalised Marking Instructions 2012 Mathematics Intermediate 1 Units 1, 2 & 3 Paper 1 Finalised ing Instructions Scottish Qualifications Authority 2012 The information in this publication may be reproduced to support SQA qualifications

More information

Section 2.3 Task List

Section 2.3 Task List Summer 2017 Math 108 Section 2.3 67 Section 2.3 Task List Work through each of the following tasks, carefully filling in the following pages in your notebook. Section 2.3 Function Notation and Applications

More information

MATHEMATICS Standard Grade - General Level Paper I

MATHEMATICS Standard Grade - General Level Paper I ELGIN ACADEMY Prelim Examination 2010 / 2011 MATHEMATICS Standard Grade - General Level Paper I Time Allowed - 35 minutes First name and initials Surname Class Teacher Read Carefully 1. Answer as many

More information

MATHEMATICS Standard Grade - General Level Paper I

MATHEMATICS Standard Grade - General Level Paper I ELGIN ACADEMY Prelim Examination 2010 / 2011 MATHEMATICS Standard Grade - General Level Paper I Time Allowed - 35 minutes First name and initials Surname Class Teacher Read Carefully 1. Answer as many

More information

Key Stage 3 Mathematics. Common entrance revision

Key Stage 3 Mathematics. Common entrance revision Key Stage 3 Mathematics Key Facts Common entrance revision Number and Algebra Solve the equation x³ + x = 20 Using trial and improvement and give your answer to the nearest tenth Guess Check Too Big/Too

More information

5.1 Congruent Triangles 99 Mastery Practice Squares Square Roots Cubes Cube Roots 15 Mastery Practice 21

5.1 Congruent Triangles 99 Mastery Practice Squares Square Roots Cubes Cube Roots 15 Mastery Practice 21 Chapter - Squares, Square Roots, Cubes and Cube Roots. Squares. Square Roots 7. Cubes. Cube Roots 5 Mastery Practice Chapter - Rational and Irrational Numbers. Rational Numbers. Real Numbers 7. Operations

More information

7 th grade Math Standards Priority Standard (Bold) Supporting Standard (Regular)

7 th grade Math Standards Priority Standard (Bold) Supporting Standard (Regular) 7 th grade Math Standards Priority Standard (Bold) Supporting Standard (Regular) Unit #1 7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers;

More information

DOWNSEND SCHOOL YEAR 5 EASTER REVISION BOOKLET

DOWNSEND SCHOOL YEAR 5 EASTER REVISION BOOKLET DOWNSEND SCHOOL YEAR 5 EASTER REVISION BOOKLET This booklet is an optional revision aid for the Summer Exam Name: Maths Teacher: Revision List for Summer Exam Topic Junior Maths Bk 3 Place Value Chapter

More information

Tennessee Senior Bridge Mathematics

Tennessee Senior Bridge Mathematics A Correlation of to the Mathematics Standards Approved July 30, 2010 Bid Category 13-130-10 A Correlation of, to the Mathematics Standards Mathematics Standards I. Ways of Looking: Revisiting Concepts

More information

Geometry. Practice Pack

Geometry. Practice Pack Geometry Practice Pack WALCH PUBLISHING Table of Contents Unit 1: Lines and Angles Practice 1.1 What Is Geometry?........................ 1 Practice 1.2 What Is Geometry?........................ 2 Practice

More information

Outcome 9 Review Foundations and Pre-Calculus 10

Outcome 9 Review Foundations and Pre-Calculus 10 Outcome 9 Review Foundations and Pre-Calculus 10 Level 2 Example: Writing an equation in slope intercept form Slope-Intercept Form: y = mx + b m = slope b = y-intercept Ex : Write the equation of a line

More information

Elko County School District 5 th Grade Math Learning Targets

Elko County School District 5 th Grade Math Learning Targets Elko County School District 5 th Grade Math Learning Targets Nevada Content Standard 1.0 Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms;

More information

Evaluating Expressions and Collecting Like terms (no calculator allowed!)

Evaluating Expressions and Collecting Like terms (no calculator allowed!) Evaluating Epressions and Collecting Like terms (no calculator allowed!) 1. If p = 5, q = 7, r = 10 and s = 2, evaluate: a) p + q b) r s c) 4q d) 5r e) r 2 f) 5s g) pq h) qrs i) k) p + qr l) 3(p + s) m)

More information

Key Stage 4. Revision Booklet

Key Stage 4. Revision Booklet Key Stage 4 Revision Booklet KS4 Raising Standards Leader: Mrs J Martin j.martin@marriotts.herts.sch.uk Contents Art 1 Computer Science 2 English Language 3 English Literature 4 Food Technology 5 Geography

More information

Mathematics. Foundation. Set E Paper 2 (Calculator)

Mathematics. Foundation. Set E Paper 2 (Calculator) Mark scheme Ch 1 Mathematics oundation Set E Paper 2 (Calculator) 80 marks 1 expression 1 Award 1 mark for correct answer. Students often find the distinction between these terms difficult. 2 6 11 1 Award

More information

Course Syllabus - Online Prealgebra

Course Syllabus - Online Prealgebra Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 1.1 Whole Numbers, Place Value Practice Problems for section 1.1 HW 1A 1.2 Adding Whole Numbers Practice Problems for section 1.2 HW 1B 1.3 Subtracting Whole Numbers

More information

Exam: Friday 4 th May How to Revise. What to use to revise:

Exam: Friday 4 th May How to Revise. What to use to revise: National 5 Mathematics Exam Revision Questions Exam: Friday 4 th May 2018 How to Revise Use this booklet for homework Come to after school revision classes Come to the Easter holiday revision class There

More information

Connected Mathematics 2, 6th Grade Units (c) 2006 Correlated to: Utah Core Curriculum for Math (Grade 6)

Connected Mathematics 2, 6th Grade Units (c) 2006 Correlated to: Utah Core Curriculum for Math (Grade 6) Core Standards of the Course Standard I Students will acquire number sense and perform operations with rational numbers. Objective 1 Represent whole numbers and decimals in a variety of ways. A. Change

More information

Grade 6. Prentice Hall. Connected Mathematics 6th Grade Units Alaska Standards and Grade Level Expectations. Grade 6

Grade 6. Prentice Hall. Connected Mathematics 6th Grade Units Alaska Standards and Grade Level Expectations. Grade 6 Prentice Hall Connected Mathematics 6th Grade Units 2004 Grade 6 C O R R E L A T E D T O Expectations Grade 6 Content Standard A: Mathematical facts, concepts, principles, and theories Numeration: Understand

More information

MCAS/DCCAS Mathematics Correlation Chart Grade 4

MCAS/DCCAS Mathematics Correlation Chart Grade 4 MCAS/DCCAS Mathematics Correlation Chart Grade 4 MCAS Finish Line Mathematics Grade 4 MCAS Standard DCCAS Standard DCCAS Standard Description Unit 1: Number Sense Lesson 1: Whole Number Place Value Lesson

More information

HPS Scope Sequence Last Revised June SUBJECT: Math GRADE: 7. Michigan Standard (GLCE) Code & Language. What this Standard means:

HPS Scope Sequence Last Revised June SUBJECT: Math GRADE: 7. Michigan Standard (GLCE) Code & Language. What this Standard means: Number and Numeration MA.7.NS.1 (Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical

More information

Incoming Advanced Grade 7

Incoming Advanced Grade 7 Name Date Incoming Advanced Grade 7 Tell whether the two fractions form a proportion. 1. 3 16, 4 20 2. 5 30, 7 42 3. 4 6, 18 27 4. Use the ratio table to find the unit rate in dollars per ounce. Order

More information

Math 65A Elementary Algebra A Exam II STUDY GUIDE and REVIEW Chapter 2, Sections 3 5, and Chapter 3, Sections 1-3

Math 65A Elementary Algebra A Exam II STUDY GUIDE and REVIEW Chapter 2, Sections 3 5, and Chapter 3, Sections 1-3 Exam II STUDY GUIDE and REVIEW Chapter 2, Sections 5, and Chapter, Sections 1 - Exam II will be given on Thursday, April 10. You will have the entire class time for the exam. It will cover Chapter 2, Sections

More information

Common Core Math Tutorial and Practice

Common Core Math Tutorial and Practice Common Core Math Tutorial and Practice TABLE OF CONTENTS Chapter One Number and Numerical Operations Number Sense...4 Ratios, Proportions, and Percents...12 Comparing and Ordering...19 Equivalent Numbers,

More information

constant EXAMPLE #4:

constant EXAMPLE #4: Linear Equations in One Variable (1.1) Adding in an equation (Objective #1) An equation is a statement involving an equal sign or an expression that is equal to another expression. Add a constant value

More information

WITH MATH INTERMEDIATE/MIDDLE (IM) GRADE 6

WITH MATH INTERMEDIATE/MIDDLE (IM) GRADE 6 May 06 VIRGINIA MATHEMATICS STANDARDS OF LEARNING CORRELATED TO MOVING WITH MATH INTERMEDIATE/MIDDLE (IM) GRADE 6 NUMBER AND NUMBER SENSE 6.1 The student will identify representations of a given percent

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Trigonometry Final Exam Study Guide Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The graph of a polar equation is given. Select the polar

More information

Paper 2. Mathematics test. Calculator allowed. First name. Last name. School KEY STAGE TIER

Paper 2. Mathematics test. Calculator allowed. First name. Last name. School KEY STAGE TIER Ma KEY STAGE 3 TIER 6 8 2004 Mathematics test Paper 2 Calculator allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your

More information

Mathematics Expectations Page 1 Grade 04

Mathematics Expectations Page 1 Grade 04 Mathematics Expectations Page 1 Problem Solving Mathematical Process Expectations 4m1 develop, select, and apply problem-solving strategies as they pose and solve problems and conduct investigations, to

More information

Mathematics Essential General Course Year 12. Selected Unit 3 syllabus content for the. Externally set task 2017

Mathematics Essential General Course Year 12. Selected Unit 3 syllabus content for the. Externally set task 2017 Mathematics Essential General Course Year 12 Selected Unit 3 syllabus content for the Externally set task 2017 This document is an extract from the Mathematics Essentials General Course Year 12 syllabus,

More information

WEDNESDAY, 5 MAY AM AM. Date of birth Day Month Year Scottish candidate number

WEDNESDAY, 5 MAY AM AM. Date of birth Day Month Year Scottish candidate number FOR OFFICIAL USE G KU RE Total marks 2500/403 NATIONAL QUALIFICATIONS 2010 WEDNESDAY, 5 MAY 10.40 AM 11.15 AM MATHEMATICS STANDARD GRADE General Level Paper 1 Non-calculator Fill in these boxes and read

More information

Write numbers to 100,000 in standard form, word form, and expanded form

Write numbers to 100,000 in standard form, word form, and expanded form 4 th Grade Math in Focus Chapter 1-Working with Whole to 100,000 Comparing to 100,000 Adding and Multi-Digit Write numbers to 100,000 in standard form, word form, and expanded form Compare and order numbers

More information

4 th Grade Mathematics Learning Targets By Unit

4 th Grade Mathematics Learning Targets By Unit INSTRUCTIONAL UNIT UNIT 1: WORKING WITH WHOLE NUMBERS UNIT 2: ESTIMATION AND NUMBER THEORY PSSA ELIGIBLE CONTENT M04.A-T.1.1.1 Demonstrate an understanding that in a multi-digit whole number (through 1,000,000),

More information

COURSE SYLLABUS. Course Title: Introduction to Quality and Continuous Improvement

COURSE SYLLABUS. Course Title: Introduction to Quality and Continuous Improvement COURSE SYLLABUS Course Number: TBD Course Title: Introduction to Quality and Continuous Improvement Course Pre-requisites: None Course Credit Hours: 3 credit hours Structure of Course: 45/0/0/0 Textbook:

More information

Saxon Math Manipulatives in Motion Primary. Correlations

Saxon Math Manipulatives in Motion Primary. Correlations Saxon Math Manipulatives in Motion Primary Correlations Saxon Math Program Page Math K 2 Math 1 8 Math 2 14 California Math K 21 California Math 1 27 California Math 2 33 1 Saxon Math Manipulatives in

More information

Langdon Park Maths Foundation Paper 3 Predicted Paper B

Langdon Park Maths Foundation Paper 3 Predicted Paper B Langdon Park Maths Foundation Paper 3 Predicted Paper B Name: Class: Date: Time: 84 minutes Marks: 80 marks Comments: Q1. (a) Circle the smallest number. 2.31 2.33 2.301 (1) (b) Circle the largest number.

More information

Core Learning Standards for Mathematics Grade 6

Core Learning Standards for Mathematics Grade 6 Core Learning Standards for Mathematics Grade 6 Write and evaluate numerical expressions involving whole-number exponents. Write, read, and evaluate expressions; identify parts of an expression using mathematical

More information

Section 1.3. Slope formula: If the coordinates of two points on the line are known then we can use the slope formula to find the slope of the line.

Section 1.3. Slope formula: If the coordinates of two points on the line are known then we can use the slope formula to find the slope of the line. MATH 11009: Linear Functions Section 1.3 Linear Function: A linear function is a function that can be written in the form f(x) = ax + b or y = ax + b where a and b are constants. The graph of a linear

More information

Connected Mathematics 2, 6th Grade Units 2006 Correlated to: Nebraska Mathematics Academic Standards (By the End of Grade 8)

Connected Mathematics 2, 6th Grade Units 2006 Correlated to: Nebraska Mathematics Academic Standards (By the End of Grade 8) 8.1 Numeration/Number Sense 8.1.1 By the end of eighth grade, students will recognize natural numbers whole numbers, integers, and rational numbers. SE: Bits and Pieces I: 5 11, 12 18, 19 27, 28 34, 35

More information

Chapter 9 Linear equations/graphing. 1) Be able to graph points on coordinate plane 2) Determine the quadrant for a point on coordinate plane

Chapter 9 Linear equations/graphing. 1) Be able to graph points on coordinate plane 2) Determine the quadrant for a point on coordinate plane Chapter 9 Linear equations/graphing 1) Be able to graph points on coordinate plane 2) Determine the quadrant for a point on coordinate plane Rectangular Coordinate System Quadrant II (-,+) y-axis Quadrant

More information

MATHEMATICS GEOMETRY HONORS. OPTIONS FOR NEXT COURSE Algebra II, Algebra II/Trigonometry, or Algebra, Functions, and Data Analysis

MATHEMATICS GEOMETRY HONORS. OPTIONS FOR NEXT COURSE Algebra II, Algebra II/Trigonometry, or Algebra, Functions, and Data Analysis Parent / Student Course Information MATHEMATICS GEOMETRY HONORS Counselors are available to assist parents and students with course selections and career planning. Parents may arrange to meet with the

More information

You MUST know the big 3 formulas!

You MUST know the big 3 formulas! Name 3-13 Review Geometry Period Date Unit 3 Lines and angles Review 3-1 Writing equations of lines. Determining slope and y intercept given an equation Writing the equation of a line given a graph. Graphing

More information

Big Ideas Math: A Common Core Curriculum Geometry 2015 Correlated to Common Core State Standards for High School Geometry

Big Ideas Math: A Common Core Curriculum Geometry 2015 Correlated to Common Core State Standards for High School Geometry Common Core State s for High School Geometry Conceptual Category: Geometry Domain: The Number System G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment,

More information

Year 6 Maths Assessment Guidance - NUMBER Meeting expectations 3 Working Within Year 6 4 Secure within Year 6

Year 6 Maths Assessment Guidance - NUMBER Meeting expectations 3 Working Within Year 6 4 Secure within Year 6 6.1.a.1 Calculate intervals across zero (^) 6.1.a.2 Consolidate counting forwards or backwards in steps of powers of 10 for any given number to 1 000 000 (+) 6.1.a.3 Consolidate counting in multiples of

More information

FOR OFFICIAL USE Total Mark

FOR OFFICIAL USE Total Mark FOR OFFICIAL USE Total Mark NATIONAL QUALIFICATIONS 2014 MATHEMATICS INTERMEDIATE 1 Units 1, 2 and 3 Paper 1 (Non-calculator) TUESDAY, 6 MAY 9.00 AM 9.35 AM *X1001001* X100/10/01 Fill in these boxes and

More information

LINEAR EQUATIONS IN TWO VARIABLES

LINEAR EQUATIONS IN TWO VARIABLES LINEAR EQUATIONS IN TWO VARIABLES What You Should Learn Use slope to graph linear equations in two " variables. Find the slope of a line given two points on the line. Write linear equations in two variables.

More information

Cambridge Secondary 1 Progression Test. Mark scheme. Mathematics. Stage 9

Cambridge Secondary 1 Progression Test. Mark scheme. Mathematics. Stage 9 Cambridge Secondary 1 Progression Test Mark scheme Mathematics Stage 9 DC (CW/SW) 9076/8RP These tables give general guidelines on marking answers that involve number and place value, and units of length,

More information

4 th Grade Curriculum Map

4 th Grade Curriculum Map 4 th Grade Curriculum Map 2017-18 MONTH UNIT/ CONTENT CORE GOALS/SKILLS STANDARDS WRITTEN ASSESSMENTS ROUTINES RESOURCES VOCABULARY September Chapter 1 8 days NUMBERS AND OPERATIONS IN BASE TEN WORKING

More information

2 a. What is the total cost of a fidget. 1. Calculate the following: spinner costing 4.68 and a cricket ball. a costing 8.59?

2 a. What is the total cost of a fidget. 1. Calculate the following: spinner costing 4.68 and a cricket ball. a costing 8.59? Revision Pack REMOVE November 2017 This is the Upper summer pack to help you revise. NO CALCULATORS to be used unless π is needed or the question says to. 1. Calculate the following: a. 47 9 + 9 76 Name:

More information

Biggar High School Mathematics Department. S1 Block 1. Revision Booklet GOLD

Biggar High School Mathematics Department. S1 Block 1. Revision Booklet GOLD Biggar High School Mathematics Department S1 Block 1 Revision Booklet GOLD Contents MNU 3-01a MNU 3-03a MNU 3-03b Page Whole Number Calculations & Decimals 3 MTH 3-05b MTH 3-06a MTH 4-06a Multiples, Factors,

More information

First Practice Test 1 Levels 5-7 Calculator not allowed

First Practice Test 1 Levels 5-7 Calculator not allowed Mathematics First Practice Test 1 Levels 5-7 Calculator not allowed First name Last name School Remember The test is 1 hour long. You must not use a calculator for any question in this test. You will need:

More information

GRADE 8 ANSWER KEY NUMBER. 1. Squares and Square Roots (8.N.1) 2. Estimating Square Roots (8.N.2)

GRADE 8 ANSWER KEY NUMBER. 1. Squares and Square Roots (8.N.1) 2. Estimating Square Roots (8.N.2) GRADE 8 ANSWER KEY Note: For more information on particular vocabulary, refer to Kindergarten to Grade 8 Mathematics Glossary (Manitoba Education). NUMBER 1. Squares and Square Roots (8.N.1) Level of Question

More information

MATH 150 Pre-Calculus

MATH 150 Pre-Calculus MATH 150 Pre-Calculus Fall, 2014, WEEK 5 JoungDong Kim Week 5: 3B, 3C Chapter 3B. Graphs of Equations Draw the graph x+y = 6. Then every point on the graph satisfies the equation x+y = 6. Note. The graph

More information

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education Cambridge International Examinations Cambridge International General Certificate of Secondary Education *5164933141* CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/32 Paper 3 (Core) October/November 2017 1 hour

More information

Contents. PART 1 Unit 1: Number Sense: Numbers to 10. Unit 2: Number Sense: Numbers to 20. Unit 3: Patterns and Algebra: Repeating Patterns

Contents. PART 1 Unit 1: Number Sense: Numbers to 10. Unit 2: Number Sense: Numbers to 20. Unit 3: Patterns and Algebra: Repeating Patterns Contents PART 1 Unit 1: Number Sense: Numbers to 10 NS2-1 Counting and Matching 1 NS2-2 One-to-One Correspondence 3 NS2-3 More, Fewer, and Less 5 NS2-4 How Many More? 7 NS2-5 Reading Number Words to Ten

More information

2. Here are some triangles. (a) Write down the letter of the triangle that is. right-angled, ... (ii) isosceles. ... (2)

2. Here are some triangles. (a) Write down the letter of the triangle that is. right-angled, ... (ii) isosceles. ... (2) Topic 8 Shapes 2. Here are some triangles. A B C D F E G (a) Write down the letter of the triangle that is (i) right-angled,... (ii) isosceles.... (2) Two of the triangles are congruent. (b) Write down

More information

Math 2 nd Grade GRADE LEVEL STANDARDS/DOK INDICATORS

Math 2 nd Grade GRADE LEVEL STANDARDS/DOK INDICATORS Number Properties and Operations Whole number sense and addition and subtraction are key concepts and skills developed in early childhood. Students build on their number sense and counting sense to develop

More information

5. The symmetry shown by the flag of the Bahamas is. Name: ID: A. b. 3 d. 9. a. 1 c. 6

5. The symmetry shown by the flag of the Bahamas is. Name: ID: A. b. 3 d. 9. a. 1 c. 6 Name: Class: Date: ID: A Math 9 Practice Final Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In the design below, the dashed line represents a.

More information

FOR OFFICIAL USE Total Mark

FOR OFFICIAL USE Total Mark FOR OFFICIAL USE Total Mark NATIONAL QUALIFICATIONS 2014 MATHEMATICS INTERMEDIATE 1 Units 1, 2 and 3 Paper 2 TUESDAY, 6 MAY 9.55 AM 10.50 AM *X1001002* X100/10/02 Fill in these boxes and read what is printed

More information

Use the Point-Slope Form to Write the Equation of a Line

Use the Point-Slope Form to Write the Equation of a Line Math 90 8.3 "Writing Equations of Lines" Objectives: * Use the point-slope form to write the equation of a line. * Use the slope-intercept form to write the equation of a line. * Use slope as an aid when

More information

Level 1 Grade Level Page 1 of 2 ABE Mathematics Verification Checklist with Materials Used and Mastery Level

Level 1 Grade Level Page 1 of 2 ABE Mathematics Verification Checklist with Materials Used and Mastery Level Level 1 Grade Level 0-1.9 Page 1 of 2 ABE Mathematics Verification Checklist with Materials Used and Level M.1.1 Number Sense and Operations M.1.1.1 Associate numbers and words for numbers with quantities.

More information

GCSE Foundation! Set B! Calculator Paper

GCSE Foundation! Set B! Calculator Paper Name: GCSE Foundation! Set B! Calculator Paper Equipment 1. A blue or black ink ball-point pen. 2. A pencil. 3. An eraser. 4. A ruler. 5. A pair of compasses. 6. A protractor. 7. A calculator Guidance

More information

UNIT 6: CONJECTURE AND JUSTIFICATION WEEK 24: Student Packet

UNIT 6: CONJECTURE AND JUSTIFICATION WEEK 24: Student Packet Name Period Date UNIT 6: CONJECTURE AND JUSTIFICATION WEEK 24: Student Packet 24.1 The Pythagorean Theorem Explore the Pythagorean theorem numerically, algebraically, and geometrically. Understand a proof

More information

Square Roots and the Pythagorean Theorem

Square Roots and the Pythagorean Theorem UNIT 1 Square Roots and the Pythagorean Theorem Just for Fun What Do You Notice? Follow the steps. An example is given. Example 1. Pick a 4-digit number with different digits. 3078 2. Find the greatest

More information

NSCAS - Math Table of Specifications

NSCAS - Math Table of Specifications NSCAS - Math Table of Specifications MA 3. MA 3.. NUMBER: Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics

More information

The authors and publishers would like to thank Evan Sedgwick-Jell for his help with the production of this book.

The authors and publishers would like to thank Evan Sedgwick-Jell for his help with the production of this book. for GCSE mathematics Intermediate PUBLISHED BY THE PRESS SYNDICATE OF THE UNIVERSITY OF CAMBRIDGE The Pitt Building, Trumpington Street, Cambridge, United Kingdom CAMBRIDGE UNIVERSITY PRESS The Edinburgh

More information

Trigonometric identities

Trigonometric identities Trigonometric identities An identity is an equation that is satisfied by all the values of the variable(s) in the equation. For example, the equation (1 + x) = 1 + x + x is an identity. If you replace

More information

KS3 Revision work. Level 6 + = 1

KS3 Revision work. Level 6 + = 1 KS3 Revision work Level 6 1. Thinking fractions Write the missing numbers in these fraction sums. 1 + = 1 4 8 1 8 + = 1 3 2. Pi The value of correct to 7 decimal places is: 3.1415927 (a) Write the value

More information

GCSE Mathematics Calculator Foundation Tier Free Practice Set 3 1 hour 30 minutes. Answers at:

GCSE Mathematics Calculator Foundation Tier Free Practice Set 3 1 hour 30 minutes. Answers at: First Name Last Name Date Total Marks / 100 marks MathsMadeEasy 3 GCSE Mathematics Calculator Foundation Tier Free Practice Set 3 1 hour 30 minutes Answers at: http://www.mathsmadeeasy.co.uk/gcsemathspapers-free.htm

More information

Project Maths Geometry Notes

Project Maths Geometry Notes The areas that you need to study are: Project Maths Geometry Notes (i) Geometry Terms: (ii) Theorems: (iii) Constructions: (iv) Enlargements: Axiom, theorem, proof, corollary, converse, implies The exam

More information

Trigonometry. An Overview of Important Topics

Trigonometry. An Overview of Important Topics Trigonometry An Overview of Important Topics 1 Contents Trigonometry An Overview of Important Topics... 4 UNDERSTAND HOW ANGLES ARE MEASURED... 6 Degrees... 7 Radians... 7 Unit Circle... 9 Practice Problems...

More information

Candidate Number. General Certificate of Secondary Education Foundation Tier November 2012

Candidate Number. General Certificate of Secondary Education Foundation Tier November 2012 Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials General Certificate of Secondary Education Foundation Tier November 2012 Pages 3 4 5 Mark Mathematics

More information

How to work out trig functions of angles without a scientific calculator

How to work out trig functions of angles without a scientific calculator Before starting, you will need to understand how to use SOH CAH TOA. How to work out trig functions of angles without a scientific calculator Task 1 sine and cosine Work out sin 23 and cos 23 by constructing

More information

Course: Math Grade: 7. Unit Plan: Geometry. Length of Unit:

Course: Math Grade: 7. Unit Plan: Geometry. Length of Unit: Course: Math Grade: 7 Unit Plan: Geometry Length of Unit: Enduring Understanding(s): Geometry is found in the visual world in two and three dimension. We use geometry daily in problem solving. Essential

More information

Algebra 1 B Semester Exam Review

Algebra 1 B Semester Exam Review Algebra 1 B 014 MCPS 013 014 Residual: Difference between the observed (actual) value and the predicted (regression) value Slope-Intercept Form of a linear function: f m b Forms of quadratic functions:

More information

6.00 Trigonometry Geometry/Circles Basics for the ACT. Name Period Date

6.00 Trigonometry Geometry/Circles Basics for the ACT. Name Period Date 6.00 Trigonometry Geometry/Circles Basics for the ACT Name Period Date Perimeter and Area of Triangles and Rectangles The perimeter is the continuous line forming the boundary of a closed geometric figure.

More information

Analytic Geometry/ Trigonometry

Analytic Geometry/ Trigonometry Analytic Geometry/ Trigonometry Course Numbers 1206330, 1211300 Lake County School Curriculum Map Released 2010-2011 Page 1 of 33 PREFACE Teams of Lake County teachers created the curriculum maps in order

More information

7 Mathematics Curriculum

7 Mathematics Curriculum New York State Common Core 7 Mathematics Curriculum GRADE Table of Contents 1 Percent and Proportional Relationships GRADE 7 MODULE 4... 3 Topic A: Finding the Whole (7.RP.A.1, 7.RP.A.2c, 7.RP.A.3)...

More information

JMG. Review Module 1 Lessons 1-20 for Mid-Module. Prepare for Endof-Unit Assessment. Assessment. Module 1. End-of-Unit Assessment.

JMG. Review Module 1 Lessons 1-20 for Mid-Module. Prepare for Endof-Unit Assessment. Assessment. Module 1. End-of-Unit Assessment. Lesson Plans Lesson Plan WEEK 161 December 5- December 9 Subject to change 2016-2017 Mrs. Whitman 1 st 2 nd Period 3 rd Period 4 th Period 5 th Period 6 th Period H S Mathematics Period Prep Geometry Math

More information

Third Grade Mathematics Scope and Sequence

Third Grade Mathematics Scope and Sequence Third Grade Mathematics Scope and Sequence Quarter 1 Domain Operations & Algebraic Thinking Numbers & Operation in Base Ten Standard 3.OA.1 Interpret products of whole numbers, e.g., interpret 5 x 7 as

More information

KS4 Maths Morning Form Time by Miss D.Bartram

KS4 Maths Morning Form Time by Miss D.Bartram : Tutor Group: Tutor Teacher: Room: KS4 Maths Morning Form Time by Miss D.Bartram If you need to practise any topic areas please use MyMaths or see your class teacher. Contents Week AFL To improve 1 2

More information

2011 Summer Math Packet Students entering Fifth Grade Math

2011 Summer Math Packet Students entering Fifth Grade Math Name 0 Summer Math Packet Students entering Fifth Grade Math Rachel Carson Elementary PACKET MUST INCLUDE COVER SHEET WITH THE FOLLOWING INFORMATION CLEARLY PRINTED Students Name (first & last) 0-0 Homeroom

More information

Year End Review. Central Tendency 1. Find the mean, median and mode for this set of numbers: 4, 5, 6, 3, 7, 4, 4, 6, 7 mean. median.

Year End Review. Central Tendency 1. Find the mean, median and mode for this set of numbers: 4, 5, 6, 3, 7, 4, 4, 6, 7 mean. median. Math 8 Name: Year End Review Central Tendency 1. Find the mean, median and mode for this set of numbers: 4, 5, 6, 3, 7, 4, 4, 6, 7 mean median mode Operations with Fractions 2. Solve. Show all your work.

More information

Georgia Department of Education

Georgia Department of Education Fourth Grade 4.NOP.1 Multiplication and division; Find the factor pairs for a given whole number less than or equal to 100; recognize prime numbers as numbers greater than 1 with exactly one factor pair.

More information

BIG IDEA 1: Develop an understanding of and fluency with multiplication and division of fractions and decimals BIG IDEA 1:

BIG IDEA 1: Develop an understanding of and fluency with multiplication and division of fractions and decimals BIG IDEA 1: BIG IDEA 1: Develop an understanding of and fluency with multiplication and division of fractions and decimals Multiplying and Dividing Decimals Explain the difference between an exact answer and an estimated

More information

Geometry Station Activities for Common Core State Standards

Geometry Station Activities for Common Core State Standards Geometry Station Activities for Common Core State Standards WALCH EDUCATION Table of Contents Standards Correlations...................................................... v Introduction..............................................................vii

More information

Mathematics (Project Maths Phase 2)

Mathematics (Project Maths Phase 2) 2014. S233 Coimisiún na Scrúduithe Stáit State Examinations Commission Junior Certificate Examination 2014 Mathematics (Project Maths Phase 2) Paper 2 Ordinary Level Monday 9 June Morning, 9:30 to 11:30

More information

2016 Geometry Honors Summer Packet

2016 Geometry Honors Summer Packet Name: 2016 Geometry Honors Summer Packet This packet is due the first day of school. It will be graded for completion and effort shown. There will be an assessment on these concepts the first week of school.

More information