Curriculum Briefing P6 Foundation Mathematics

Size: px
Start display at page:

Download "Curriculum Briefing P6 Foundation Mathematics"

Transcription

1 Curriculum Briefing P6 Foundation Mathematics,

2 Vision A community of confident and motivated pupils who are both effective problem solvers and team players.

3 Mission To equip pupils with the necessary mathematical knowledge and skills for everyday life and for continuous learning in mathematics and related disciplines.

4 MOE MATHEMATICS CURRICULUM FRAMEWORK B eliefs Interest Appreciationion C onfidence Pers everance Monitoring of one s own thinking Self-regulation of learning Numerical calculation Algebraic manipulation Spatial visualization Data analysis Measurement Use of mathematical tools Estimation Mathematic al P roblem S olving Concepts Numerical Algebraic Geometrical Statistical Probabilistic Analytical R easoning, communication & connections Thinking skills & heuristic s Applic ation & modelling

5 Revised PSLE Format Paper 2 allows pupils the use of calculators to solve problems. Only calculators that are approved by SEAB will be allowed for use in the examinations. ( Casio fx - 95SG PLUS) The list of approved calculators is available on the SEAB website - Booklet on Instructions for PSLE candidates

6

7 Types of Assessments When are pupils assessed? Non-weighted Assessments Weighted Assessments Term 1 to Term 4 Hands-on activities Maths Practices eg. workbook exercises, class worksheets heuristics worksheets Mental Sums Mock Tests Questioning and Feedbacks Mid Year Exam (SA1) Prelim Exam * Dates and details will be provided

8 Exam Format Paper Item Type Number of 1 Booklet A MCQ Booklet B Short Answer Qns Questions Marks Per Question 1m 2m Weighting 10% 20% 10 2m 20% 1 hour Break Duration 1 h No calculators 2 Short Answer Qns Structured / Long Answer Qns 10 2m 20% 1h 30min 8 3m,4m,5m 30% The use of calculators is allowed. Total % 2h 30 min

9 Good Time Management is Important Paper 1 ( 60 min) Paper 2 (90 min) 30 Questions Average Time spent for each Question 1 min ( 1 x 30 = 30 ) 2 min ( 2 x 30 = 60 ) 18 Questions Average Time spent for each Question Time left for checking answers 20 min No time to check! Time left for checking answers 5 min ( 5 x 18 = 90 ) No time to check! 6 min ( 6 x 18 = 108 ) No time to finish and check!

10 Primary 1 Primary 2 & 3 Primary 4 Primary 5 Primary 6 Whole Numbers Measure ment Geometry Whole Numbers Measure ment Geometry Whole Numbers Measure ment Geometry Whole Numbers Measure ment Geometry Whole Numbers Measure ment Geometry Data Analysis Data Analysis Fractions Data Analysis Data Analysis Data Analysis Fractions Fractions Fractions Decimals Decimals Decimals Spiral Approach Math Curriculum Percentage Ratio Ratio Percentage Ratio Speed

11 What is Problem - Solving? Problem - Solving is the ability to handle unusual situations where routine procedures are not available.

12 (1) Routine questions : Assess pupils knowledge, basic computation skills and familiar word problems

13 Example The figure below shows a rectangle. What is its perimeter? 7 cm 10 cm Perimeter (10 + 7) cm x 2 = 34 cm Ans: 34 cm

14 (2) Non- Routine questions : Assess pupils Thinking Skills and require pupils to show competencies that are beyond computational proficiency

15 Example The figure below is made up of 3 squares of different sizes. Line AB is a straight line, measuring 10 cm. Find the perimeter of the figure. A B = 10 cm Perimeter of the figure 10 cm x 4 = 40 cm

16 4 - STEPS FOR PROBLEM-SOLVING: POLYA S MODEL Step1: Understanding the Problem. What are the key words? How would you describe the problem in your own words? Step 2: Plan Select the strategy to solve the problem. More than one strategy may be adopted. Try common heuristics (Model drawing, systematic listing, find a pattern, draw a diagram) Step 3: Do Use computational skills add, subtract, multiply, divide Use mathematical tools ruler, metre ruler Use thinking skills classifying, comparing, sequencing, identifying pattern Step 4: Check Read your question again to make sure you have answered the question. Check the working step by step. Start with your answer and work backwards and check if the results satisfy the given conditions.

17 Problem Solving Heuristics are general methods or strategies of achieving a solution to a given problem.

18 Thinking Skills Classifying using relevant attributes to sort, organise and group information Comparing using common attributes to identify commonalities and discrepancies across numerous sets of information Sequencing place items in a hierarchical order according to a quantifiable value Identifying patterns and relationship recognise two or more attributes in a relationship that yields a reliable or repeated scheme Induction drawing a general conclusion from clues gathered (from specific to general) Deduction inferring various specific situations or examples from given generalizations Spatial Visualization visualizing a situation or an object and mentally manipulating various alternatives for solving a problem related to situation or object without concrete manipulatives

19 Whole School Heuristics Approach No. Heuristics P1 P2 P3 P4 P5 P6 1 Model Drawing: Part and Whole 2 Model Drawing: Comparison 3 Model Drawing: Multiplication and Division 4 Model Drawing: Before and After 5 Systematic Listing 6 Find a Pattern 7 Draw a Diagram 8 Restate The Problem 9 Guess and Check 10 Working Backwards 11 Make an Assumption

20 Presentation of Answers Alicia bought 8 plates and 5 cups. Each cup cost $2.50 and each plate cost $4.90 more than a cup. How much did she pay altogether? (To use instead of = to show a relationship ) 5 cups $2.50 x 5 = $ plate $ $2.50 = $ plates $7.40 x 8 = $ Total $ $12.50 = $71.70 Ans: $71.70 (To insist on writing caption or sentence tag)

21 In a donation drive, 40 volunteers helped to distribute some goodie bags. Each man distributed 4 bags while each woman distributed 3 bags. The men distributed 34 more bags than the women. How many men were there? (Use Guess & Check) No. of men No. of bags dist. by men No. of women No. of bags dist. by women Difference Check if the difference is x 4 = = x 4 = x 3 = = X x 4= x 3 = = 34 X Decrease By 7 Difference = 126 Groups of = 18 Number of women 18 Number of men =22 There were 22 men. Headings, Working and Condition for Checking must be shown clearly. Include word statement.

22 Angles in Geometric Figures In the figure below, ABCD is a square, AED is an equilateral triangle and BFD is a straight line. Find AFB. A B 60? F 60 O E 45 D C DAE = 60 o ( ) ADF = 45 o AFD = 180 o (60 o + 45 o ) = 75 o AFB = 180 o 75 o = 105 o To state reasons wherever possible

23 Draw a Timeline A movie started at a.m. The movie was 2 hours and 25 minutes long. What time did the movie end? 1h 1 h 15 min 10 min 2.10p.m. 2p.m a.m p.m p.m. The movie ends at 2.10 p.m. Ans: 2.10 p.m h 25 mins 2.10p.m.

24 Pupils are expected to 1. set own goals know what they want to achieve 2. complete and hand in work on time 3. present solutions in an organised way, showing important steps or workings and standard units 4. take note of their mistakes in their work and do corrections 5. go through their answers and check them carefully 6. seek help from teacher to clarify any doubts

25 Common codes used during marking of Maths questions/word problems Codes Representations WM CC TE MR MC MS Wrong method to arrive at the same answer Careless calculation (method is correct) Transfer Error (within solution) Misread (From question to solution) Missing sentence tags/captions Missing number sentences

26 Support from Parents 1. To ensure your child attend school regularly and punctually 2. School work is to be done first 3. Guide and not tell them how to do the work 4. Time management help to administer each revision Paper 1 and Paper 2 5. To ensure no calculators is used in daily work unless calculator logo is indicated 6. Talk about Maths as used in day-to-day situation 7. Should you have any concerns, do make an appointment to see your child s teacher to discuss 8. If your child/ward has difficulty with her homework, do not give her the answers but guide her with questions and indicate on the homework assisted or guided.

27 Programmes and Activities Recess Games Maths Quiz HGS e-learning portal: MC Online: Primary 6 Mathematics Quiz Look at the Algebra Magic Square below. The sum along each row, column and diagonal equals to the same magic sum. Some of the expressions have fallen off the square. Fill in the blanks to make the square magic again! 2 x x + 2 2

28 Maths Games Every Monday during recesses

29 +Venture in Maths Magazine

30

Dublin City Schools Mathematics Graded Course of Study GRADE 4

Dublin City Schools Mathematics Graded Course of Study GRADE 4 I. Content Standard: Number, Number Sense and Operations Standard Students demonstrate number sense, including an understanding of number systems and reasonable estimates using paper and pencil, technology-supported

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 259574_P2 5-7_KS3_Ma.qxd 1/4/04 4:14 PM Page 1 Ma KEY STAGE 3 TIER 5 7 2004 Mathematics test Paper 2 Calculator allowed Please read this page, but do not open your booklet until your teacher tells you

More information

Extending Place Value with Whole Numbers to 1,000,000

Extending Place Value with Whole Numbers to 1,000,000 Grade 4 Mathematics, Quarter 1, Unit 1.1 Extending Place Value with Whole Numbers to 1,000,000 Overview Number of Instructional Days: 10 (1 day = 45 minutes) Content to Be Learned Recognize that a digit

More information

Page 1 of 11. Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General. Grade(s): None specified

Page 1 of 11. Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General. Grade(s): None specified Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General Grade(s): None specified Unit: Creating a Community of Mathematical Thinkers Timeline: Week 1 The purpose of the Establishing a Community

More information

Math-U-See Correlation with the Common Core State Standards for Mathematical Content for Third Grade

Math-U-See Correlation with the Common Core State Standards for Mathematical Content for Third Grade Math-U-See Correlation with the Common Core State Standards for Mathematical Content for Third Grade The third grade standards primarily address multiplication and division, which are covered in Math-U-See

More information

Missouri Mathematics Grade-Level Expectations

Missouri Mathematics Grade-Level Expectations A Correlation of to the Grades K - 6 G/M-223 Introduction This document demonstrates the high degree of success students will achieve when using Scott Foresman Addison Wesley Mathematics in meeting the

More information

TOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system

TOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system Curriculum Overview Mathematics 1 st term 5º grade - 2010 TOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system Multiplies and divides decimals by 10 or 100. Multiplies and divide

More information

Montana Content Standards for Mathematics Grade 3. Montana Content Standards for Mathematical Practices and Mathematics Content Adopted November 2011

Montana Content Standards for Mathematics Grade 3. Montana Content Standards for Mathematical Practices and Mathematics Content Adopted November 2011 Montana Content Standards for Mathematics Grade 3 Montana Content Standards for Mathematical Practices and Mathematics Content Adopted November 2011 Contents Standards for Mathematical Practice: Grade

More information

AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS

AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS 1 CALIFORNIA CONTENT STANDARDS: Chapter 1 ALGEBRA AND WHOLE NUMBERS Algebra and Functions 1.4 Students use algebraic

More information

Primary National Curriculum Alignment for Wales

Primary National Curriculum Alignment for Wales Mathletics and the Welsh Curriculum This alignment document lists all Mathletics curriculum activities associated with each Wales course, and demonstrates how these fit within the National Curriculum Programme

More information

Mathematics process categories

Mathematics process categories Mathematics process categories All of the UK curricula define multiple categories of mathematical proficiency that require students to be able to use and apply mathematics, beyond simple recall of facts

More information

What the National Curriculum requires in reading at Y5 and Y6

What the National Curriculum requires in reading at Y5 and Y6 What the National Curriculum requires in reading at Y5 and Y6 Word reading apply their growing knowledge of root words, prefixes and suffixes (morphology and etymology), as listed in Appendix 1 of the

More information

Unit 3: Lesson 1 Decimals as Equal Divisions

Unit 3: Lesson 1 Decimals as Equal Divisions Unit 3: Lesson 1 Strategy Problem: Each photograph in a series has different dimensions that follow a pattern. The 1 st photo has a length that is half its width and an area of 8 in². The 2 nd is a square

More information

Math Grade 3 Assessment Anchors and Eligible Content

Math Grade 3 Assessment Anchors and Eligible Content Math Grade 3 Assessment Anchors and Eligible Content www.pde.state.pa.us 2007 M3.A Numbers and Operations M3.A.1 Demonstrate an understanding of numbers, ways of representing numbers, relationships among

More information

Bittinger, M. L., Ellenbogen, D. J., & Johnson, B. L. (2012). Prealgebra (6th ed.). Boston, MA: Addison-Wesley.

Bittinger, M. L., Ellenbogen, D. J., & Johnson, B. L. (2012). Prealgebra (6th ed.). Boston, MA: Addison-Wesley. Course Syllabus Course Description Explores the basic fundamentals of college-level mathematics. (Note: This course is for institutional credit only and will not be used in meeting degree requirements.

More information

Introducing the New Iowa Assessments Mathematics Levels 12 14

Introducing the New Iowa Assessments Mathematics Levels 12 14 Introducing the New Iowa Assessments Mathematics Levels 12 14 ITP Assessment Tools Math Interim Assessments: Grades 3 8 Administered online Constructed Response Supplements Reading, Language Arts, Mathematics

More information

May To print or download your own copies of this document visit Name Date Eurovision Numeracy Assignment

May To print or download your own copies of this document visit  Name Date Eurovision Numeracy Assignment 1. An estimated one hundred and twenty five million people across the world watch the Eurovision Song Contest every year. Write this number in figures. 2. Complete the table below. 2004 2005 2006 2007

More information

The Role of Problems to Enhance Pedagogical Practices in the Singapore Mathematics Classroom.

The Role of Problems to Enhance Pedagogical Practices in the Singapore Mathematics Classroom. The Mathematics Educator 2002, Vol. 6, No.2, 15-31 The Role of Problems to Enhance Pedagogical Practices in the Singapore Mathematics Classroom. Foong Pui Yee National Institute of Education, Nanyang Technological

More information

Measurement. When Smaller Is Better. Activity:

Measurement. When Smaller Is Better. Activity: Measurement Activity: TEKS: When Smaller Is Better (6.8) Measurement. The student solves application problems involving estimation and measurement of length, area, time, temperature, volume, weight, and

More information

Functional Maths Skills Check E3/L x

Functional Maths Skills Check E3/L x Functional Maths Skills Check E3/L1 Name: Date started: The Four Rules of Number + - x May 2017. Kindly contributed by Nicola Smith, Gloucestershire College. Search for Nicola on skillsworkshop.org Page

More information

UNIT ONE Tools of Algebra

UNIT ONE Tools of Algebra UNIT ONE Tools of Algebra Subject: Algebra 1 Grade: 9 th 10 th Standards and Benchmarks: 1 a, b,e; 3 a, b; 4 a, b; Overview My Lessons are following the first unit from Prentice Hall Algebra 1 1. Students

More information

Alignment of Australian Curriculum Year Levels to the Scope and Sequence of Math-U-See Program

Alignment of Australian Curriculum Year Levels to the Scope and Sequence of Math-U-See Program Alignment of s to the Scope and Sequence of Math-U-See Program This table provides guidance to educators when aligning levels/resources to the Australian Curriculum (AC). The Math-U-See levels do not address

More information

About the Mathematics in This Unit

About the Mathematics in This Unit (PAGE OF 2) About the Mathematics in This Unit Dear Family, Our class is starting a new unit called Puzzles, Clusters, and Towers. In this unit, students focus on gaining fluency with multiplication strategies.

More information

Grade 5 + DIGITAL. EL Strategies. DOK 1-4 RTI Tiers 1-3. Flexible Supplemental K-8 ELA & Math Online & Print

Grade 5 + DIGITAL. EL Strategies. DOK 1-4 RTI Tiers 1-3. Flexible Supplemental K-8 ELA & Math Online & Print Standards PLUS Flexible Supplemental K-8 ELA & Math Online & Print Grade 5 SAMPLER Mathematics EL Strategies DOK 1-4 RTI Tiers 1-3 15-20 Minute Lessons Assessments Consistent with CA Testing Technology

More information

Grade 6: Correlated to AGS Basic Math Skills

Grade 6: Correlated to AGS Basic Math Skills Grade 6: Correlated to AGS Basic Math Skills Grade 6: Standard 1 Number Sense Students compare and order positive and negative integers, decimals, fractions, and mixed numbers. They find multiples and

More information

The Indices Investigations Teacher s Notes

The Indices Investigations Teacher s Notes The Indices Investigations Teacher s Notes These activities are for students to use independently of the teacher to practise and develop number and algebra properties.. Number Framework domain and stage:

More information

Fourth Grade. Reporting Student Progress. Libertyville School District 70. Fourth Grade

Fourth Grade. Reporting Student Progress. Libertyville School District 70. Fourth Grade Fourth Grade Libertyville School District 70 Reporting Student Progress Fourth Grade A Message to Parents/Guardians: Libertyville Elementary District 70 teachers of students in kindergarten-5 utilize a

More information

The New York City Department of Education. Grade 5 Mathematics Benchmark Assessment. Teacher Guide Spring 2013

The New York City Department of Education. Grade 5 Mathematics Benchmark Assessment. Teacher Guide Spring 2013 The New York City Department of Education Grade 5 Mathematics Benchmark Assessment Teacher Guide Spring 2013 February 11 March 19, 2013 2704324 Table of Contents Test Design and Instructional Purpose...

More information

Characteristics of Functions

Characteristics of Functions Characteristics of Functions Unit: 01 Lesson: 01 Suggested Duration: 10 days Lesson Synopsis Students will collect and organize data using various representations. They will identify the characteristics

More information

Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C

Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C Using and applying mathematics objectives (Problem solving, Communicating and Reasoning) Select the maths to use in some classroom

More information

This scope and sequence assumes 160 days for instruction, divided among 15 units.

This scope and sequence assumes 160 days for instruction, divided among 15 units. In previous grades, students learned strategies for multiplication and division, developed understanding of structure of the place value system, and applied understanding of fractions to addition and subtraction

More information

Classroom Connections Examining the Intersection of the Standards for Mathematical Content and the Standards for Mathematical Practice

Classroom Connections Examining the Intersection of the Standards for Mathematical Content and the Standards for Mathematical Practice Classroom Connections Examining the Intersection of the Standards for Mathematical Content and the Standards for Mathematical Practice Title: Considering Coordinate Geometry Common Core State Standards

More information

Diagnostic Test. Middle School Mathematics

Diagnostic Test. Middle School Mathematics Diagnostic Test Middle School Mathematics Copyright 2010 XAMonline, Inc. All rights reserved. No part of the material protected by this copyright notice may be reproduced or utilized in any form or by

More information

Multiplication of 2 and 3 digit numbers Multiply and SHOW WORK. EXAMPLE. Now try these on your own! Remember to show all work neatly!

Multiplication of 2 and 3 digit numbers Multiply and SHOW WORK. EXAMPLE. Now try these on your own! Remember to show all work neatly! Multiplication of 2 and digit numbers Multiply and SHOW WORK. EXAMPLE 205 12 10 2050 2,60 Now try these on your own! Remember to show all work neatly! 1. 6 2 2. 28 8. 95 7. 82 26 5. 905 15 6. 260 59 7.

More information

Add and Subtract Fractions With Unlike Denominators

Add and Subtract Fractions With Unlike Denominators Add and Subtract Fractions With Unlike Denominators Focus on After this lesson, you will be able to... add and subtract fractions with unlike denominators solve problems involving the addition and subtraction

More information

Are You Ready? Simplify Fractions

Are You Ready? Simplify Fractions SKILL 10 Simplify Fractions Teaching Skill 10 Objective Write a fraction in simplest form. Review the definition of simplest form with students. Ask: Is 3 written in simplest form? Why 7 or why not? (Yes,

More information

PRIMARY ASSESSMENT GRIDS FOR STAFFORDSHIRE MATHEMATICS GRIDS. Inspiring Futures

PRIMARY ASSESSMENT GRIDS FOR STAFFORDSHIRE MATHEMATICS GRIDS. Inspiring Futures PRIMARY ASSESSMENT GRIDS FOR STAFFORDSHIRE MATHEMATICS GRIDS Inspiring Futures ASSESSMENT WITHOUT LEVELS The Entrust Mathematics Assessment Without Levels documentation has been developed by a group of

More information

TABE 9&10. Revised 8/2013- with reference to College and Career Readiness Standards

TABE 9&10. Revised 8/2013- with reference to College and Career Readiness Standards TABE 9&10 Revised 8/2013- with reference to College and Career Readiness Standards LEVEL E Test 1: Reading Name Class E01- INTERPRET GRAPHIC INFORMATION Signs Maps Graphs Consumer Materials Forms Dictionary

More information

Classify: by elimination Road signs

Classify: by elimination Road signs WORK IT Road signs 9-11 Level 1 Exercise 1 Aims Practise observing a series to determine the points in common and the differences: the observation criteria are: - the shape; - what the message represents.

More information

Learning Disability Functional Capacity Evaluation. Dear Doctor,

Learning Disability Functional Capacity Evaluation. Dear Doctor, Dear Doctor, I have been asked to formulate a vocational opinion regarding NAME s employability in light of his/her learning disability. To assist me with this evaluation I would appreciate if you can

More information

Mathematics Success Grade 7

Mathematics Success Grade 7 T894 Mathematics Success Grade 7 [OBJECTIVE] The student will find probabilities of compound events using organized lists, tables, tree diagrams, and simulations. [PREREQUISITE SKILLS] Simple probability,

More information

The Singapore Copyright Act applies to the use of this document.

The Singapore Copyright Act applies to the use of this document. Title Mathematical problem solving in Singapore schools Author(s) Berinderjeet Kaur Source Teaching and Learning, 19(1), 67-78 Published by Institute of Education (Singapore) This document may be used

More information

Welcome to ACT Brain Boot Camp

Welcome to ACT Brain Boot Camp Welcome to ACT Brain Boot Camp 9:30 am - 9:45 am Basics (in every room) 9:45 am - 10:15 am Breakout Session #1 ACT Math: Adame ACT Science: Moreno ACT Reading: Campbell ACT English: Lee 10:20 am - 10:50

More information

GCSE Mathematics B (Linear) Mark Scheme for November Component J567/04: Mathematics Paper 4 (Higher) General Certificate of Secondary Education

GCSE Mathematics B (Linear) Mark Scheme for November Component J567/04: Mathematics Paper 4 (Higher) General Certificate of Secondary Education GCSE Mathematics B (Linear) Component J567/04: Mathematics Paper 4 (Higher) General Certificate of Secondary Education Mark Scheme for November 2014 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge

More information

Similar Triangles. Developed by: M. Fahy, J. O Keeffe, J. Cooper

Similar Triangles. Developed by: M. Fahy, J. O Keeffe, J. Cooper Similar Triangles Developed by: M. Fahy, J. O Keeffe, J. Cooper For the lesson on 1/3/2016 At Chanel College, Coolock Teacher: M. Fahy Lesson plan developed by: M. Fahy, J. O Keeffe, J. Cooper. 1. Title

More information

Functional Skills Mathematics Level 2 assessment

Functional Skills Mathematics Level 2 assessment Functional Skills Mathematics Level 2 assessment www.cityandguilds.com September 2015 Version 1.0 Marking scheme ONLINE V2 Level 2 Sample Paper 4 Mark Represent Analyse Interpret Open Fixed S1Q1 3 3 0

More information

Problem of the Month: Movin n Groovin

Problem of the Month: Movin n Groovin : The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard of mathematical practice from the Common Core State Standards: Make sense of

More information

Big Ideas Math Grade 6 Answer Key

Big Ideas Math Grade 6 Answer Key Big Ideas Math Grade 6 Answer Key Free PDF ebook Download: Big Ideas Math Grade 6 Answer Key Download or Read Online ebook big ideas math grade 6 answer key in PDF Format From The Best User Guide Database

More information

SPATIAL SENSE : TRANSLATING CURRICULUM INNOVATION INTO CLASSROOM PRACTICE

SPATIAL SENSE : TRANSLATING CURRICULUM INNOVATION INTO CLASSROOM PRACTICE SPATIAL SENSE : TRANSLATING CURRICULUM INNOVATION INTO CLASSROOM PRACTICE Kate Bennie Mathematics Learning and Teaching Initiative (MALATI) Sarie Smit Centre for Education Development, University of Stellenbosch

More information

Contents. Foreword... 5

Contents. Foreword... 5 Contents Foreword... 5 Chapter 1: Addition Within 0-10 Introduction... 6 Two Groups and a Total... 10 Learn Symbols + and =... 13 Addition Practice... 15 Which is More?... 17 Missing Items... 19 Sums with

More information

GUIDE TO THE CUNY ASSESSMENT TESTS

GUIDE TO THE CUNY ASSESSMENT TESTS GUIDE TO THE CUNY ASSESSMENT TESTS IN MATHEMATICS Rev. 117.016110 Contents Welcome... 1 Contact Information...1 Programs Administered by the Office of Testing and Evaluation... 1 CUNY Skills Assessment:...1

More information

Story Problems with. Missing Parts. s e s s i o n 1. 8 A. Story Problems with. More Story Problems with. Missing Parts

Story Problems with. Missing Parts. s e s s i o n 1. 8 A. Story Problems with. More Story Problems with. Missing Parts s e s s i o n 1. 8 A Math Focus Points Developing strategies for solving problems with unknown change/start Developing strategies for recording solutions to story problems Using numbers and standard notation

More information

Mathematics subject curriculum

Mathematics subject curriculum Mathematics subject curriculum Dette er ei omsetjing av den fastsette læreplanteksten. Læreplanen er fastsett på Nynorsk Established as a Regulation by the Ministry of Education and Research on 24 June

More information

LLD MATH. Student Eligibility: Grades 6-8. Credit Value: Date Approved: 8/24/15

LLD MATH. Student Eligibility: Grades 6-8. Credit Value: Date Approved: 8/24/15 PUBLIC SCHOOLS OF EDISON TOWNSHIP DIVISION OF CURRICULUM AND INSTRUCTION LLD MATH Length of Course: Elective/Required: School: Full Year Required Middle Schools Student Eligibility: Grades 6-8 Credit Value:

More information

Grades. From Your Friends at The MAILBOX

Grades. From Your Friends at The MAILBOX From Your Friends at The MAILBOX Grades 5 6 TEC916 High-Interest Math Problems to Reinforce Your Curriculum Supports NCTM standards Strengthens problem-solving and basic math skills Reinforces key problem-solving

More information

TabletClass Math Geometry Course Guidebook

TabletClass Math Geometry Course Guidebook TabletClass Math Geometry Course Guidebook Includes Final Exam/Key, Course Grade Calculation Worksheet and Course Certificate Student Name Parent Name School Name Date Started Course Date Completed Course

More information

Standard 1: Number and Computation

Standard 1: Number and Computation Standard 1: Number and Computation Standard 1: Number and Computation The student uses numerical and computational concepts and procedures in a variety of situations. Benchmark 1: Number Sense The student

More information

Answers: Year 4 Textbook 3 Pages 4 10

Answers: Year 4 Textbook 3 Pages 4 10 Answers: Year 4 Textbook Pages 4 Page 4 1. 729 2. 8947. 6502 4. 2067 5. 480 6. 7521 > 860 7. 85 > 699 8. 9442< 9852 9. 4725 > 4572. 8244 < 9241 11. 026 < 211 12. A number between 20 and 4800 1. A number

More information

Answer Key For The California Mathematics Standards Grade 1

Answer Key For The California Mathematics Standards Grade 1 Introduction: Summary of Goals GRADE ONE By the end of grade one, students learn to understand and use the concept of ones and tens in the place value number system. Students add and subtract small numbers

More information

Florida Mathematics Standards for Geometry Honors (CPalms # )

Florida Mathematics Standards for Geometry Honors (CPalms # ) A Correlation of Florida Geometry Honors 2011 to the for Geometry Honors (CPalms #1206320) Geometry Honors (#1206320) Course Standards MAFS.912.G-CO.1.1: Know precise definitions of angle, circle, perpendicular

More information

Hardhatting in a Geo-World

Hardhatting in a Geo-World Hardhatting in a Geo-World TM Developed and Published by AIMS Education Foundation This book contains materials developed by the AIMS Education Foundation. AIMS (Activities Integrating Mathematics and

More information

Pre-Algebra A. Syllabus. Course Overview. Course Goals. General Skills. Credit Value

Pre-Algebra A. Syllabus. Course Overview. Course Goals. General Skills. Credit Value Syllabus Pre-Algebra A Course Overview Pre-Algebra is a course designed to prepare you for future work in algebra. In Pre-Algebra, you will strengthen your knowledge of numbers as you look to transition

More information

Helping Your Children Learn in the Middle School Years MATH

Helping Your Children Learn in the Middle School Years MATH Helping Your Children Learn in the Middle School Years MATH Grade 7 A GUIDE TO THE MATH COMMON CORE STATE STANDARDS FOR PARENTS AND STUDENTS This brochure is a product of the Tennessee State Personnel

More information

Feedback, Marking and Presentation Policy

Feedback, Marking and Presentation Policy Feedback, Marking and Presentation Policy This policy was developed as part of a consultation process involving pupils, staff, parents and Governors of the school. In development of this policy reference

More information

RIGHTSTART MATHEMATICS

RIGHTSTART MATHEMATICS Activities for Learning, Inc. RIGHTSTART MATHEMATICS by Joan A. Cotter, Ph.D. LEVEL B LESSONS FOR HOME EDUCATORS FIRST EDITION Copyright 2001 Special thanks to Sharalyn Colvin, who converted RightStart

More information

LESSON PLANS: AUSTRALIA Year 6: Patterns and Algebra Patterns 50 MINS 10 MINS. Introduction to Lesson. powered by

LESSON PLANS: AUSTRALIA Year 6: Patterns and Algebra Patterns 50 MINS 10 MINS. Introduction to Lesson. powered by Year 6: Patterns and Algebra Patterns 50 MINS Strand: Number and Algebra Substrand: Patterns and Algebra Outcome: Continue and create sequences involving whole numbers, fractions and decimals. Describe

More information

CONSTRUCTION OF AN ACHIEVEMENT TEST Introduction One of the important duties of a teacher is to observe the student in the classroom, laboratory and

CONSTRUCTION OF AN ACHIEVEMENT TEST Introduction One of the important duties of a teacher is to observe the student in the classroom, laboratory and CONSTRUCTION OF AN ACHIEVEMENT TEST Introduction One of the important duties of a teacher is to observe the student in the classroom, laboratory and in other settings. He may also make use of tests in

More information

After your registration is complete and your proctor has been approved, you may take the Credit by Examination for MATH 6A.

After your registration is complete and your proctor has been approved, you may take the Credit by Examination for MATH 6A. MATH 6A Mathematics, Grade 6, First Semester #03 (v.3.0) To the Student: After your registration is complete and your proctor has been approved, you may take the Credit by Examination for MATH 6A. WHAT

More information

A Metacognitive Approach to Support Heuristic Solution of Mathematical Problems

A Metacognitive Approach to Support Heuristic Solution of Mathematical Problems A Metacognitive Approach to Support Heuristic Solution of Mathematical Problems John TIONG Yeun Siew Centre for Research in Pedagogy and Practice, National Institute of Education, Nanyang Technological

More information

GRADE 5 MATHEMATICS Pre Assessment Directions, Answer Key, and Scoring Rubrics

GRADE 5 MATHEMATICS Pre Assessment Directions, Answer Key, and Scoring Rubrics ORANGE PUBLIC SCHOOLS OFFICE OF CURRICULUM AND INSTRUCTION OFFICE OF MATHEMATICS GRADE 5 MATHEMATICS Pre Assessment Directions, Answer Key, and Scoring Rubrics School Year 03-04 Grade 5 Pre Assessment

More information

Sample Problems for MATH 5001, University of Georgia

Sample Problems for MATH 5001, University of Georgia Sample Problems for MATH 5001, University of Georgia 1 Give three different decimals that the bundled toothpicks in Figure 1 could represent In each case, explain why the bundled toothpicks can represent

More information

Focus of the Unit: Much of this unit focuses on extending previous skills of multiplication and division to multi-digit whole numbers.

Focus of the Unit: Much of this unit focuses on extending previous skills of multiplication and division to multi-digit whole numbers. Approximate Time Frame: 3-4 weeks Connections to Previous Learning: In fourth grade, students fluently multiply (4-digit by 1-digit, 2-digit by 2-digit) and divide (4-digit by 1-digit) using strategies

More information

Algebra 1 Summer Packet

Algebra 1 Summer Packet Algebra 1 Summer Packet Name: Solve each problem and place the answer on the line to the left of the problem. Adding Integers A. Steps if both numbers are positive. Example: 3 + 4 Step 1: Add the two numbers.

More information

Montana's Distance Learning Policy for Adult Basic and Literacy Education

Montana's Distance Learning Policy for Adult Basic and Literacy Education Montana's Distance Learning Policy for Adult Basic and Literacy Education 2013-2014 1 Table of Contents I. Introduction Page 3 A. The Need B. Going to Scale II. Definitions and Requirements... Page 4-5

More information

Do students benefit from drawing productive diagrams themselves while solving introductory physics problems? The case of two electrostatic problems

Do students benefit from drawing productive diagrams themselves while solving introductory physics problems? The case of two electrostatic problems European Journal of Physics ACCEPTED MANUSCRIPT OPEN ACCESS Do students benefit from drawing productive diagrams themselves while solving introductory physics problems? The case of two electrostatic problems

More information

Mathematics Scoring Guide for Sample Test 2005

Mathematics Scoring Guide for Sample Test 2005 Mathematics Scoring Guide for Sample Test 2005 Grade 4 Contents Strand and Performance Indicator Map with Answer Key...................... 2 Holistic Rubrics.......................................................

More information

Written by Wendy Osterman

Written by Wendy Osterman Pre-Algebra Written by Wendy Osterman Editor: Alaska Hults Illustrator: Corbin Hillam Designer/Production: Moonhee Pak/Cari Helstrom Cover Designer: Barbara Peterson Art Director: Tom Cochrane Project

More information

Grade Five Chapter 6 Add and Subtract Fractions with Unlike Denominators Overview & Support Standards:

Grade Five Chapter 6 Add and Subtract Fractions with Unlike Denominators Overview & Support Standards: rade Five Chapter 6 Add and Subtract Fractions with Unlike Denominators Overview & Support Standards: Use equivalent fractions as a strategy to add and subtract fractions. Add and subtract fractions with

More information

EDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES. Maths Level 2. Chapter 4. Working with measures

EDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES. Maths Level 2. Chapter 4. Working with measures EDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES Maths Level 2 Chapter 4 Working with measures SECTION G 1 Time 2 Temperature 3 Length 4 Weight 5 Capacity 6 Conversion between metric units 7 Conversion

More information

MODULE FRAMEWORK AND ASSESSMENT SHEET

MODULE FRAMEWORK AND ASSESSMENT SHEET MODULE FRAMEWORK AND ASSESSMENT SHEET LEARNING OUTCOMES (LOS) ASSESSMENT STANDARDS (ASS) FORMATIVE ASSESSMENT ASs Pages and (mark out of ) LOs (ave. out of ) SUMMATIVE ASSESSMENT Tasks or tests Ave for

More information

Sample Performance Assessment

Sample Performance Assessment Page 1 Content Area: Mathematics Grade Level: Six (6) Sample Performance Assessment Instructional Unit Sample: Go Figure! Colorado Academic Standard(s): MA10-GR.6-S.1-GLE.3; MA10-GR.6-S.4-GLE.1 Concepts

More information

Julia Smith. Effective Classroom Approaches to.

Julia Smith. Effective Classroom Approaches to. Julia Smith @tessmaths Effective Classroom Approaches to GCSE Maths resits julia.smith@writtle.ac.uk Agenda The context of GCSE resit in a post-16 setting An overview of the new GCSE Key features of a

More information

Maximizing Learning Through Course Alignment and Experience with Different Types of Knowledge

Maximizing Learning Through Course Alignment and Experience with Different Types of Knowledge Innov High Educ (2009) 34:93 103 DOI 10.1007/s10755-009-9095-2 Maximizing Learning Through Course Alignment and Experience with Different Types of Knowledge Phyllis Blumberg Published online: 3 February

More information

Chapter 4 - Fractions

Chapter 4 - Fractions . Fractions Chapter - Fractions 0 Michelle Manes, University of Hawaii Department of Mathematics These materials are intended for use with the University of Hawaii Department of Mathematics Math course

More information

WELCOME. P5 & 6 Principal s Dialogue cum Briefing Session Saturday, 24 January a.m. to a.m.

WELCOME. P5 & 6 Principal s Dialogue cum Briefing Session Saturday, 24 January a.m. to a.m. WELCOME P5 & 6 Principal s Dialogue cum Briefing Session Saturday, 24 January 2015 9.00 a.m. to 10.30 a.m. Briefing Outline Welcome Address by Principal Introduction of Key Personnel and P5 & P6 Teachers

More information

2 nd Grade Math Curriculum Map

2 nd Grade Math Curriculum Map .A.,.M.6,.M.8,.N.5,.N.7 Organizing Data in a Table Working with multiples of 5, 0, and 5 Using Patterns in data tables to make predictions and solve problems. Solving problems involving money. Using a

More information

Regions Of Georgia For 2nd Grade

Regions Of Georgia For 2nd Grade Regions Of Georgia For 2nd Grade Free PDF ebook Download: Regions Of Georgia For 2nd Grade Download or Read Online ebook regions of georgia for 2nd grade in PDF Format From The Best User Guide Database

More information

Edexcel GCSE. Statistics 1389 Paper 1H. June Mark Scheme. Statistics Edexcel GCSE

Edexcel GCSE. Statistics 1389 Paper 1H. June Mark Scheme. Statistics Edexcel GCSE Edexcel GCSE Statistics 1389 Paper 1H June 2007 Mark Scheme Edexcel GCSE Statistics 1389 NOTES ON MARKING PRINCIPLES 1 Types of mark M marks: method marks A marks: accuracy marks B marks: unconditional

More information

Mathematics Success Level E

Mathematics Success Level E T403 [OBJECTIVE] The student will generate two patterns given two rules and identify the relationship between corresponding terms, generate ordered pairs, and graph the ordered pairs on a coordinate plane.

More information

Welcome to Year 2. The New National Curriculum

Welcome to Year 2. The New National Curriculum Welcome to Year 2 The New National Curriculum Literacy Reading Pupils should be taught to: continue to apply phonic knowledge and skills as the route to decode words until automatic decoding has become

More information

GCSE. Mathematics A. Mark Scheme for January General Certificate of Secondary Education Unit A503/01: Mathematics C (Foundation Tier)

GCSE. Mathematics A. Mark Scheme for January General Certificate of Secondary Education Unit A503/01: Mathematics C (Foundation Tier) GCSE Mathematics A General Certificate of Secondary Education Unit A503/0: Mathematics C (Foundation Tier) Mark Scheme for January 203 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA)

More information

Using Proportions to Solve Percentage Problems I

Using Proportions to Solve Percentage Problems I RP7-1 Using Proportions to Solve Percentage Problems I Pages 46 48 Standards: 7.RP.A. Goals: Students will write equivalent statements for proportions by keeping track of the part and the whole, and by

More information

PHYSICS 40S - COURSE OUTLINE AND REQUIREMENTS Welcome to Physics 40S for !! Mr. Bryan Doiron

PHYSICS 40S - COURSE OUTLINE AND REQUIREMENTS Welcome to Physics 40S for !! Mr. Bryan Doiron PHYSICS 40S - COURSE OUTLINE AND REQUIREMENTS Welcome to Physics 40S for 2016-2017!! Mr. Bryan Doiron The course covers the following topics (time permitting): Unit 1 Kinematics: Special Equations, Relative

More information

Creating a Test in Eduphoria! Aware

Creating a Test in Eduphoria! Aware in Eduphoria! Aware Login to Eduphoria using CHROME!!! 1. LCS Intranet > Portals > Eduphoria From home: LakeCounty.SchoolObjects.com 2. Login with your full email address. First time login password default

More information

Table of Contents. Development of K-12 Louisiana Connectors in Mathematics and ELA

Table of Contents. Development of K-12 Louisiana Connectors in Mathematics and ELA Table of Contents Introduction Rationale and Purpose Development of K-12 Louisiana Connectors in Mathematics and ELA Implementation Reading the Louisiana Connectors Louisiana Connectors for Mathematics

More information

Stacks Teacher notes. Activity description. Suitability. Time. AMP resources. Equipment. Key mathematical language. Key processes

Stacks Teacher notes. Activity description. Suitability. Time. AMP resources. Equipment. Key mathematical language. Key processes Stacks Teacher notes Activity description (Interactive not shown on this sheet.) Pupils start by exploring the patterns generated by moving counters between two stacks according to a fixed rule, doubling

More information

The following shows how place value and money are related. ones tenths hundredths thousandths

The following shows how place value and money are related. ones tenths hundredths thousandths 2-1 The following shows how place value and money are related. ones tenths hundredths thousandths (dollars) (dimes) (pennies) (tenths of a penny) Write each fraction as a decimal and then say it. 1. 349

More information

CENTRAL MAINE COMMUNITY COLLEGE Introduction to Computer Applications BCA ; FALL 2011

CENTRAL MAINE COMMUNITY COLLEGE Introduction to Computer Applications BCA ; FALL 2011 CENTRAL MAINE COMMUNITY COLLEGE Introduction to Computer Applications BCA 120-03; FALL 2011 Instructor: Mrs. Linda Cameron Cell Phone: 207-446-5232 E-Mail: LCAMERON@CMCC.EDU Course Description This is

More information

End-of-Module Assessment Task K 2

End-of-Module Assessment Task K 2 Student Name Topic A: Two-Dimensional Flat Shapes Date 1 Date 2 Date 3 Rubric Score: Time Elapsed: Topic A Topic B Materials: (S) Paper cutouts of typical triangles, squares, Topic C rectangles, hexagons,

More information

FractionWorks Correlation to Georgia Performance Standards

FractionWorks Correlation to Georgia Performance Standards Cheryl Keck Educational Sales Consultant Phone: 800-445-5985 ext. 3231 ckeck@etacuisenaire.com www.etacuisenaire.com FractionWorks Correlation to Georgia Performance s Correlated to Georgia Performance

More information