# Mathematics K 6 continuum of key ideas

Size: px
Start display at page:

Transcription

2 Establish the concept of one-half Record halves of objects using drawings Recognise, describe and represent one-half as one of two equal parts of whole objects, shapes and collections Use fraction notation 1 2 Recognise, describe and represent halves, quarters and eighths of whole objects, shapes and collections Use fraction notation 1 4 and 1 8 Model and represent fractions with denominators 2, 3, 4, 5 and 8 Count by halves, quarters and thirds, including with mixed numerals Represent fractions on number lines, including number lines that extend beyond 1 Model and find equivalence between fractions with denominators 2, 4 and 8; 3 and 6; and 5, 10 and 100 Apply the place value system to represent tenths and hundredths as decimals Make connections between fraction and decimal notation Model, compare and represent decimals with one and two decimal places Represent decimals on number lines Compare and order unit fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100 Express mixed numerals as improper fractions and vice versa Model and represent strategies to add and subtract fractions with the same denominator Apply the place value system to represent thousandths as decimals Compare, order and represent decimals with up to three decimal places Represent, compare and order fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100 Determine, generate and record equivalent fractions Write fractions in their simplest form Add and subtract fractions, included mixed numerals, with the same or related denominators Multiply fractions by whole Find a simple fraction of a quantity to add and subtract decimals with up to three decimal places to multiply decimals by one- and two-digit whole to divide decimals by one-digit whole Multiply and divide decimals by 10, 100 and 1000 Solve word problems involving fractions and decimals, including money problems Make connections between equivalent percentages, fractions and decimals to calculate 10%, 25% and 50% of quantities, including as discounts Sort and classify objects into groups Recognise, copy, continue, create and describe repeating patterns of objects and drawings Recognise, copy, continue, create and describe Recognise, copy, create, continue and describe repeating patterns of objects or symbols Model and describe odd and even Describe patterns with and identify missing elements Find missing in number sentences involving one operation of addition or Identify, continue, create, describe and record Identify odd and even of up to four digits Find missing in number sentences involving addition or on one or both sides of the equals sign Investigate and use the properties of odd and even Recognise, continue and describe number patterns resulting from performing multiplication Find missing in number sentences involving one operation of multiplication or division Identify, continue create and describe with fractions, decimals and whole Find missing in number sentences involving multiplication or division on one or both sides of the equals sign Continue, create, record and describe geometric and number patterns in words Determine the rule for geometric and number patterns in words and use the rule to calculate values Locate and record the coordinates of points in all four quadrants of the Cartesian plane

3 Measurement and Geometry Identify the attribute of length as a measure of an object from end to end Describe length and distance using everyday language, including comparatives Compare lengths using direct comparison Record comparisons of length informally Identify the attribute of area as a measure of the amount of surface Describe area using everyday language, including comparatives Compare areas using direct comparison Record comparisons of area informally Identify the attribute of capacity as a measure of the amount of substance a container can hold Identify the attribute of volume as a measure of the amount of space an object occupies Describe capacity and volume using everyday language, including comparatives Compare volumes and capacities using direct comparison Record comparisons of capacity and volume informally Identify the attribute of mass as a measure of the amount of matter in an object Describe mass using everyday language, including comparatives Compare masses directly by hefting Record comparisons of mass informally Compare and order the duration of events using everyday language Sequence events in time Connect days of the week to familiar events and actions Tell time on the hour on digital and analog clocks and estimate lengths Record lengths by referring to the number and type of uniform informal unit used Compare and order shapes/objects based on length measured using uniform informal units length Use metres and centimetres to measure and estimate lengths and distances Record lengths using the abbreviations m and cm Use uniform informal units to measure and estimate areas Record areas by referring to the number and type of uniform informal unit used Compare and order surfaces based on area measured using uniform informal units and estimate capacities Use uniform informal units to measure and estimate volumes Record capacities and volumes by referring to the number and type of uniform informal unit used Compare and order objects based on capacity and volume measured using uniform informal units Place objects on either side of a pan balance to obtain a level balance Use a pan balance to compare two objects based on mass and estimate the masses of objects Record masses by referring to the number and type of uniform informal unit used Name and order months and seasons Use a calendar to identify the date and determine the number of days in each month Tell time to the half-hour Use a calendar to determine duration in months, weeks and days Use informal units to measure and compare the durations of events Experience activities with duration of one hour, half/quarter of an hour, one minute and a few seconds Tell time to the quarter-hour, using the language of past and to Use metres, centimetres and millimetres to measure, compare, order and estimate lengths Record lengths using the abbreviations m, cm and mm Select and use appropriate scaled instruments and units to measure and compare lengths Estimate and measure perimeters of two-dimensional shapes Convert between metres, centimetres and millimetres Record lengths and distances using decimal notation to two decimal places Use a scaled instrument to measure and compare temperatures Record temperatures using the symbol for degrees ( ) Recognise the need for formal units to measure area Use square centimetres and square metres to measure and estimate rectangular (and square) areas Record lengths using the abbreviations cm 2 and m 2 Measure and compare the areas of regular and irregular shapes using a square-centimetre grid Compare areas measured in square centimetres and square metres capacity and volume Use litres to measure, compare and estimate capacities and volumes Use cubic centimetres to measure and compare volumes Record capacities and volumes using the abbreviations L and cm 3 Use litres and millilitres to measure, compare and estimate capacities and volumes Record capacities and volumes using the abbreviations L and ml Convert between litres and millilitres Compare volumes of objects by submerging each in water Recognise the need for formal units to measure mass Use kilograms to measure, compare, order and estimate masses Record masses using the abbreviation kg Use kilograms and grams to measure and compare masses using a scaled instrument Record masses using the abbreviations kg and g Recognise the coordinated movements of the hands on a clock Read and record time to the minute, using digital notation and the terms past and to Convert between seconds, minutes, hours and days Use and interpret am and pm notation Read and interpret simple timetables, timelines and calendars Use the kilometre to measure lengths and distances Select and use appropriate instruments and units to measure lengths Record lengths and distances using the abbreviations km, m, cm and mm Find perimeters of common two-dimensional shapes and record the strategy Record lengths and distances using decimal notation to three decimal places Convert between kilometres, metres, centimetres and millimetres Solve problems involving length and perimeter Recognise the need for square kilometres and hectares to measure area Record areas using the abbreviations km 2 and ha Develop a strategy to find areas of rectangles (including squares) and record the strategy in words Develop a strategy to find areas of triangles and record the strategy in words Solve problems involving areas of rectangles (including squares) and triangles Use cubic centimetres and cubic metres to measure and estimate volumes Select and use appropriate units to measure volume Record volumes using the abbreviations cm 3 and m 3 Connect volume and capacity and their units of measurement Record volumes and capacities using decimal notation to three decimal places Convert between millilitres and litres Develop a strategy to find volumes of rectangular prisms and record the strategy in words Recognise the need for tonnes to measure mass Record masses using the abbreviations t, kg and g Select and use appropriate instruments and units to measure mass Distinguish between gross mass and net mass Solve problems involving mass Record mass using decimal notation to three decimal places Convert between tonnes, kilograms and grams Convert between 12- and 24-hour time Determine and compare the duration of events Interpret and use timetables Draw and interpret timelines using a given scale

4 Describe features of common three-dimensional objects using everyday language Sort and manipulate three-dimensional objects found in the environment Identify, name and describe circles, squares, triangles and rectangles presented in different orientations, in pictures and the environment Sort, manipulate, make and draw circles, squares, triangles and rectangles Give and follow simple directions Describe position using everyday language Use the terms left and right to describe position in relation to self Distinguish between flat and curved surfaces Use the term faces to describe flat surfaces with straight edges Identify cones, cubes, cylinders, spheres and prisms presented in different orientations, in pictures and the environment Recognise that three-dimensional objects look different from different vantage-points Use the terms flat surface, curved surface, face, edge and vertex appropriately to describe three-dimensional objects Recognise faces of three-dimensional objects as two-dimensional shapes Distinguish between three-dimensional objects and two-dimensional shapes Represent three-dimensional objects in models and drawings Identify horizontal, vertical and parallel lines Identify and name triangles, quadrilaterals, pentagons, hexagons and octagons presented in different orientations, in pictures and the environment Use the terms side and vertex to describe and compare two-dimensional shapes Make and draw two-dimensional shapes in different orientations Identify, perform and record the result of one-step slides and flips Make symmetrical designs with a variety of materials Identify, perform, describe and record the result of full, half and quarter turns Give and follow directions to move to familiar locations and to position objects Use the terms left and right to describe position in relation to self and from the perspective of a person facing in the opposite direction Describe a path from one location to another Interpret simple maps of familiar locations Represent the position of objects in models, photographs and drawings Identify, describe and compare features of prisms, pyramids, cylinders, cones and spheres Make models of three-dimensional objects Create nets from everyday packages Represent three-dimensional objects in drawings showing depth Sketch three-dimensional objects from different views Interpret and make drawings of objects on isometric grid paper Identify and name the special quadrilaterals presented in different orientations Identify and describe shapes as regular or irregular Describe and compare features of shapes, including the special quadrilaterals Identify and draw lines of symmetry on shapes Combine common shapes to form other shapes and record the arrangement Split common shapes into other shapes and record the result Use transformations to create and describe symmetrical designs Create and record tessellating designs Angles Identify and describe angles as measures of turn Compare angle sizes in everyday situations Identify perpendicular lines and right angles Draw and classify angles as acute, obtuse, straight, reflex or a revolution Use grid-referenced maps to locate and describe positions and pathways Draw simple maps, with and without a grid Determine directions N, E, S, W and NE, SE, SW, NW, given one of the directions Interpret legends and directions on maps Use the scale to calculate the distance between two points on maps Name prisms and pyramids according to the shape of their base Recognise that prisms have a uniform cross-section and pyramids do not Describe and compare properties of prisms and pyramids in terms of their faces, edges and vertices Connect three-dimensional objects with their nets Construct prisms and pyramids using a variety of materials, and given drawings from different views Identify, name and draw right-angled, equilateral, isosceles and scalene triangles Compare and describe side properties of the special quadrilaterals and special triangles Explore angle properties of the special quadrilaterals and special triangles Classify and draw regular and irregular two-dimensional shapes from descriptions of their features Use the terms translate, reflect and rotate to describe transformations of shapes Identify line and rotational symmetries Make and compare enlargements of shapes/pictures Identify, describe, compare and draw diagonals of two-dimensional shapes Identify and name parts of circles Identify, use and describe combinations of translations, reflections and rotations Angles angles Measure, compare and estimate angles in degrees (up to 360 ) Record angle measurements using the symbol for degrees ( ) Construct angles using a protractor (up to 360 ) Describe angle size in degrees for each angle classification Identify and name angle types formed by the intersection of straight lines, including angles on a straight line, angles at a point and vertically opposite angles Use known angle results to find unknown angles in diagrams Use grid-referenced maps to locate and describe positions Follow a sequence of directions, including compass directions, to find a particular location on a map Describe routes using landmarks and directional language Note: There is only one part in the substrand in Stage 3.

5 Statistics and Probability Collect information about themselves and their environment Organise actual objects into data displays Interpret data displays made from objects Collect data and track what has been counted Create data displays using objects and pictures (one-to-one correspondence) and interpret them Pose questions and collect categorical data Create data displays using lists, tables and picture graphs (one-to-one correspondence) and interpret them Plan methods for data collection Collect data, organise into categories and create displays using lists, tables, picture graphs and simple column graphs (one-to-one correspondence) Interpret and compare data displays Select, trial and refine methods for data collection, including survey questions and recording sheets Construct data displays, including tables, and column graphs and picture graphs of many-to-one correspondence Evaluate the effectiveness of different displays Collect categorical and numerical data by observation and by survey Construct data displays, including tables, column graphs, dot plots and line graphs, appropriate for the data type Describe and interpret data presented in tables, column graphs, dot plots and line graphs Interpret and create two-way tables Interpret side-by-side column graphs Compare a range of data displays to determine the most appropriate display for particular sets of data Interpret and critically evaluate data presented in digital media and elsewhere Recognise the element of chance in familiar situations Describe chance events using everyday language Identify practical activities and everyday events that involve chance Describe events as likely or unlikely Distinguish between possible and impossible events Identify some events as certain or impossible Identify and describe possible outcomes of chance experiments Predict and record all possible combinations in a chance situation Conduct chance experiments and compare predicted with actual results Describe possible everyday events and order their chances of occurring Identify everyday events where one occurring cannot happen if the other happens Identify events where the chance of one occurring will not be affected by the occurrence of the other List outcomes of chance experiments involving equally likely outcomes Represent probabilities using fractions Recognise that probabilities range from 0 to 1 Compare observed frequencies in chance experiments with expected frequencies Represent probabilities using fractions, decimals and percentages Conduct chance experiments with both small and large of trials

### Charlesworth School Year Group Maths Targets

Charlesworth School Year Group Maths Targets Year One Maths Target Sheet Key Statement KS1 Maths Targets (Expected) These skills must be secure to move beyond expected. I can compare, describe and solve

### Numeracy Targets. I can count at least 20 objects

Targets 1c I can read numbers up to 10 I can count up to 10 objects I can say the number names in order up to 20 I can write at least 4 numbers up to 10. When someone gives me a small number of objects

### The Australian Curriculum Mathematics

The Australian Curriculum Mathematics Mathematics ACARA The Australian Curriculum Number Algebra Number place value Fractions decimals Real numbers Foundation Year Year 1 Year 2 Year 3 Year 4 Year 5 Year

### Primary Curriculum 2014

Primary Curriculum 2014 Suggested Key Objectives for Mathematics at Key Stages 1 and 2 Year 1 Maths Key Objectives Taken from the National Curriculum 1 Count to and across 100, forwards and backwards,

### EVERY DAY COUNTS CALENDAR MATH 2005 correlated to

EVERY DAY COUNTS CALENDAR MATH 2005 correlated to Illinois Mathematics Assessment Framework Grades 3-5 E D U C A T I O N G R O U P A Houghton Mifflin Company YOUR ILLINOIS GREAT SOURCE REPRESENTATIVES:

### Standards and progression point examples

Mathematics Progressing towards Foundation Progression Point 0.5 At 0.5, a student progressing towards the standard at Foundation may, for example: connect number names and numerals with sets of up to

### Level 1 - Maths Targets TARGETS. With support, I can show my work using objects or pictures 12. I can order numbers to 10 3

Ma Data Hling: Interpreting Processing representing Ma Shape, space measures: position shape Written Mental method s Operations relationship s between them Fractio ns Number s the Ma1 Using Str Levels

### Illinois State Standards Alignments Grades Three through Eleven

Illinois State Standards Alignments Grades Three through Eleven Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other

### Everyday Mathematics GOALS

Copyright Wright Group/McGraw-Hill GOALS The following tables list the Grade-Level Goals organized by Content Strand and Program Goal. Content Strand: NUMBER AND NUMERATION Program Goal: Understand the

### My Year 1 Maths Targets

My Year 1 Maths Targets Number number and place value I can count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number. I can count in multiples of twos, fives and

### ISAT Mathematics Performance Definitions Grade 4

ISAT Mathematics Performance Definitions Grade 4 EXCEEDS STANDARDS Fourth-grade students whose measured performance exceeds standards are able to identify, read, write, represent, and model whole numbers

### Unit 9. Unit 10. Unit 11. Unit 12. Introduction Busy Ant Maths Year 2 Medium-Term Plans. Number - Geometry - Position & direction

Busy Ant Maths Year Medium-Term Plans Unit 9 Geometry - Position & direction Unit 0 ( Temperature) Unit Statistics Unit Fractions (time) 8 Busy Ant Maths Year Medium-Term Plans Introduction Unit Geometry

### Everyday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration

CCSS EDITION Overview of -6 Grade-Level Goals CCSS EDITION Content Strand: Number and Numeration Program Goal: Understand the Meanings, Uses, and Representations of Numbers Content Thread: Rote Counting

### Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B

Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced

### Cambridge Primary Mathematics Curriculum Framework (with codes)

Cambridge Primary Mathematics Curriculum Framework (with codes) Contents Introduction Stage 1...1 Stage 2...5 Stage 3...9 Stage 4...14 Stage 5...18 Stage 6...24 Note on codes Each learning objective has

### MATHS LEVEL DESCRIPTORS

MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to 9999. Round numbers to the nearest 10 or 100. Understand the number line below zero, and

### The National Curriculum 2014 Programmes of Study for Mathematics

The National Curriculum 2014 Programmes of Study for Mathematics Information inserted by the Lancashire Mathematics Team to support schools and teachers in identifying elements of the curriculum that have

### Number Sense and Operations

Number Sense and Operations representing as they: 6.N.1 6.N.2 6.N.3 6.N.4 6.N.5 6.N.6 6.N.7 6.N.8 6.N.9 6.N.10 6.N.11 6.N.12 6.N.13. 6.N.14 6.N.15 Demonstrate an understanding of positive integer exponents

### Mathematics Scope and Sequence, K-8

Standard 1: Number and Operation Goal 1.1: Understands and uses numbers (number sense) Mathematics Scope and Sequence, K-8 Grade Counting Read, Write, Order, Compare Place Value Money Number Theory K Count

### numerical place value additional topics rounding off numbers power of numbers negative numbers addition with materials fundamentals

Math Scope & Sequence fundamentals number sense and numeration of the decimal system Count to 10 by units Associate number to numeral (1-10) KN 1 KN 1 KN 2 KN 2 Identify odd and even numbers/numerals and

Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation

### 1A: Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

NCTM STANDARD 1: Numbers and Operations Kindergarten Grade 2 1A: Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Kindergarten Grade One Grade Two 1. Count

### Key Stage 2 Mathematics Programme of Study

Deeloping numerical reasoning Identify processes and connections Represent and communicate Reiew transfer mathematical to a ariety of contexts and eeryday situations identify the appropriate steps and

Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation

### CAMI Education linked to CAPS: Mathematics

- 1 - TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to

### Topic Lesson Widget HOTsheet

Numbers to 1000 and beyond Numbers to 1000 Words and numbers Number machine Ordering numbers Numbers beyond 1000 Number creator Jersey numbers Number grid puzzles Number creator Digit cards Passwords Splitting

### Bridging Documents for Mathematics

Bridging Documents for Mathematics 5 th /6 th Class, Primary Junior Cycle, Post-Primary Primary Post-Primary Card # Strand(s): Number, Measure Number (Strand 3) 2-5 Strand: Shape and Space Geometry and

Geometry Progress Ladder Maths Makes Sense Foundation End-of-year objectives page 2 Maths Makes Sense 1 2 End-of-block objectives page 3 Maths Makes Sense 3 4 End-of-block objectives page 4 Maths Makes

### COMMON CORE STATE STANDARDS FOR MATHEMATICS 3-5 DOMAIN PROGRESSIONS

COMMON CORE STATE STANDARDS FOR MATHEMATICS 3-5 DOMAIN PROGRESSIONS Compiled by Dewey Gottlieb, Hawaii Department of Education June 2010 Operations and Algebraic Thinking Represent and solve problems involving

### Math 5th grade. Create your own number and explain how to use expanded form to show place value to the ten millions place.

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

### Mathematics standards

Mathematics standards Grade 6 Summary of students performance by the end of Grade 6 Reasoning and problem solving Students represent and interpret routine and non-routine mathematical problems in a range

### In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data.

MATHEMATICS: THE LEVEL DESCRIPTIONS In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data. Attainment target

### How To Learn To Understand And Understand The Math Of The Year

Year R Maths Objectives In order to meet the Early Learning Goals at the end of Year R children must be able to: Numbers Count reliably with numbers from -0, place them in order and say which number is

### Republic of the Philippines Department of Education DepEd Complex, Meralco Avenue Pasig City. K to 12 Curriculum Guide MATHEMATICS

Republic of the Philippines Department of Education DepEd Complex, Meralco Avenue Pasig City K to 12 Curriculum Guide MATHEMATICS (Grade 1 to Grade 10) January 31, 2012 CONCEPTUAL FRAMEWORK Mathematics

### Voyager Sopris Learning Vmath, Levels C-I, correlated to the South Carolina College- and Career-Ready Standards for Mathematics, Grades 2-8

Page 1 of 35 VMath, Level C Grade 2 Mathematical Process Standards 1. Make sense of problems and persevere in solving them. Module 3: Lesson 4: 156-159 Module 4: Lesson 7: 220-223 2. Reason both contextually

### FOREWORD. Executive Secretary

FOREWORD The Botswana Examinations Council is pleased to authorise the publication of the revised assessment procedures for the Junior Certificate Examination programme. According to the Revised National

### of surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433

Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property

### Manitoba Curriculum. Alignment with Mathletics. Supported by independent evidence-based research and practice. Powerful reporting.

Supported by independent evidence-based research practice. Follows provincial curricula Powerful reporting Student centred Content Kindergarten Grade 1 Grade 2 02 04 08 Grade 10 Applied & Pre-Calculus

### Annotated work sample portfolios are provided to support implementation of the Foundation Year 10 Australian Curriculum.

Work sample portfolio summary WORK SAMPLE PORTFOLIO Annotated work sample portfolios are provided to support implementation of the Foundation Year 10 Australian Curriculum. Each portfolio is an example

### Fourth Grade Math Standards and "I Can Statements"

Fourth Grade Math Standards and "I Can Statements" Standard - CC.4.OA.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and

A Correlation of to the Minnesota Academic Standards Grades K-6 G/M-204 Introduction This document demonstrates the high degree of success students will achieve when using Scott Foresman Addison Wesley

### Grade 5 Math Content 1

Grade 5 Math Content 1 Number and Operations: Whole Numbers Multiplication and Division In Grade 5, students consolidate their understanding of the computational strategies they use for multiplication.

### NEW MEXICO Grade 6 MATHEMATICS STANDARDS

PROCESS STANDARDS To help New Mexico students achieve the Content Standards enumerated below, teachers are encouraged to base instruction on the following Process Standards: Problem Solving Build new mathematical

### Pocantico Hills School District Grade 1 Math Curriculum Draft

Pocantico Hills School District Grade 1 Math Curriculum Draft Patterns /Number Sense/Statistics Content Strands: Performance Indicators 1.A.1 Determine and discuss patterns in arithmetic (what comes next

### Mathematics Syllabus Primary

Mathematics Syllabus Primary Ministry of Education SINGAPORE Copyright 2006 Curriculum Planning and Development Division. This publication is not for sale. All rights reserved. No part of this publication

### Tennessee Mathematics Standards 2009-2010 Implementation. Grade Six Mathematics. Standard 1 Mathematical Processes

Tennessee Mathematics Standards 2009-2010 Implementation Grade Six Mathematics Standard 1 Mathematical Processes GLE 0606.1.1 Use mathematical language, symbols, and definitions while developing mathematical

### Numeracy and mathematics Experiences and outcomes

Numeracy and mathematics Experiences and outcomes My learning in mathematics enables me to: develop a secure understanding of the concepts, principles and processes of mathematics and apply these in different

### The symbols indicate where the topic is first introduced or specifically addressed.

ingapore Math Inc. cope and equence U: U.. Edition : ommon ore Edition : tandards Edition : ommon ore tandards 1 2 3 4 5 Reviews in ommon ore Edition cover just the unit whereas those in U.. and tandards

### Annotated work sample portfolios are provided to support implementation of the Foundation Year 10 Australian Curriculum.

Work sample portfolio summary WORK SAMPLE PORTFOLIO Annotated work sample portfolios are provided to support implementation of the Foundation Year 10 Australian Curriculum. Each portfolio is an example

### National curriculum tests. Key stage 2. Mathematics test framework. National curriculum tests from 2016. For test developers

National curriculum tests Key stage 2 Mathematics test framework National curriculum tests from 2016 For test developers Crown copyright 2015 2016 key stage 2 mathematics test framework: national curriculum

### Chapter 111. Texas Essential Knowledge and Skills for Mathematics. Subchapter A. Elementary

Elementary 111.A. Chapter 111. Texas Essential Knowledge and Skills for Mathematics Subchapter A. Elementary Statutory Authority: The provisions of this Subchapter A issued under the Texas Education Code,

### CCSS Mathematics Implementation Guide Grade 5 2012 2013. First Nine Weeks

First Nine Weeks s The value of a digit is based on its place value. What changes the value of a digit? 5.NBT.1 RECOGNIZE that in a multi-digit number, a digit in one place represents 10 times as much

### Unit 8 Angles, 2D and 3D shapes, perimeter and area

Unit 8 Angles, 2D and 3D shapes, perimeter and area Five daily lessons Year 6 Spring term Recognise and estimate angles. Use a protractor to measure and draw acute and obtuse angles to Page 111 the nearest

### BPS Math Year at a Glance (Adapted from A Story Of Units Curriculum Maps in Mathematics K-5) 1

Grade 4 Key Areas of Focus for Grades 3-5: Multiplication and division of whole numbers and fractions-concepts, skills and problem solving Expected Fluency: Add and subtract within 1,000,000 Module M1:

### Quarter One: August-October

Quarter One: August-October (Chapters 1 3, 5-6, 10) August - December Quarterly Addition facts with sums through 20 General Math Content 1. Write sums through 20. 1. Choose and enter the appropriate answer.

### MINISTRY OF EDUCATION, SPORT AND CULTURE PRIMARY SCHOOL MATHEMATICS SYLLABUS GRADES 4 5 FIRST EXAMINATION 2008

MINISTRY OF EDUCATION, SPORT AND CULTURE PRIMARY SCHOOL MATHEMATICS SYLLABUS GRADES 4 5 FIRST EXAMINATION 2008 Curriculum Development Unit P. O. Box MP 133 Mount Pleasant HARARE All Rights Reserved 2006

### Georgia Standards Alignment Grades One through Six

Georgia Standards Alignment Grades One through Six Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other countries.

### Possible Stage Two Mathematics Test Topics

Possible Stage Two Mathematics Test Topics The Stage Two Mathematics Test questions are designed to be answerable by a good problem-solver with a strong mathematics background. It is based mainly on material

### Such As Statements, Kindergarten Grade 8

Such As Statements, Kindergarten Grade 8 This document contains the such as statements that were included in the review committees final recommendations for revisions to the mathematics Texas Essential

### Vocabulary checklist. Year 7. Applying mathematics and solving problems. Numbers and the number system

Vocabulary checklist Year 7 This list contains the key words used in the Year 7 teaching programme and supplement of examples. Some words will be familiar to pupils in Year 7 from earlier work. For definitions

### SCOPE & SEQUENCE. Kindergarten, First Grade, and Second Grade. Skills and Activities

SCOPE & SEQUENCE Kindergarten, First Grade, and Second Grade Skills and Activities INNOVATIVE LEARNING CONCEPTS INC. creators of TOUCHMATH TouchMath materials were first published in 1975. Innovative Learning

### MAFS: Mathematics Standards GRADE: K

MAFS: Mathematics Standards GRADE: K Domain: COUNTING AND CARDINALITY Cluster 1: Know number names and the count sequence. CODE MAFS.K.CC.1.1 Count to 100 by ones and by tens. MAFS.K.CC.1.2 MAFS.K.CC.1.3

### WORK SCHEDULE: MATHEMATICS 2007

, K WORK SCHEDULE: MATHEMATICS 00 GRADE MODULE TERM... LO NUMBERS, OPERATIONS AND RELATIONSHIPS able to recognise, represent numbers and their relationships, and to count, estimate, calculate and check

### Glencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, 5-8 8-4, 8-7 1-6, 4-9

Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 6-8 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,

### Autumn - 12 Weeks. Spring 11 Weeks. Summer 12 Weeks. Not As We Know It Limited 2014

A Year 5 Mathematician Planning of coverage and resources. Autumn - 12 Weeks Spring 11 Weeks Summer 12 Weeks TARGETS NHM YR 5 Collins 5 Abacus 5 Abacus 6 LA Prior Step NHM 4 CPM 4 Ginn 4 Number, place

### Medium term Plan for Summer Year 3

Medium term Plan for Summer Year 3 Week Main focus of teaching and activities each day Starter Outcomes of each day 1 Place Value and number Day 1: Partition and represent 3-digit numbers using Place Value

### NCTM Curriculum Focal Points for Grade 5. Everyday Mathematics, Grade 5

NCTM Curriculum Focal Points and, Grade 5 NCTM Curriculum Focal Points for Grade 5 Number and Operations and Algebra: Developing an understanding of and fluency with division of whole numbers Students

### Shape Dictionary YR to Y6

Shape Dictionary YR to Y6 Guidance Notes The terms in this dictionary are taken from the booklet Mathematical Vocabulary produced by the National Numeracy Strategy. Children need to understand and use

### Year 3 Year 4 Year 5 Year 6. Strand 1 Number

NRICH http://nrich.maths.org problems linked to the primary national curriculum for mathematics in Years 3, 4, 5 and 6 The stars indicate the level of confidence and competence needed to begin the activity.

### Summary Of Mental Maths Targets EYFS Yr 6. Year 3. Count from 0 in multiples of 4 & 8, 50 & 100. Count back in 100s, 10s, 1s eg.

Autumn 1 Say the number names in order to 10. Read and write from 1 to 20 in numerals and words. Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward. Count from 0 in

### Math - 5th Grade. two digit by one digit multiplication fact families subtraction with regrouping

Number and Operations Understand division of whole numbers N.MR.05.01 N.MR.05.02 N.MR.05.03 Understand the meaning of division of whole numbers with and without remainders; relate division to and to repeated

### Quick Reference ebook

This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed

### Prentice Hall Mathematics: Course 1 2008 Correlated to: Arizona Academic Standards for Mathematics (Grades 6)

PO 1. Express fractions as ratios, comparing two whole numbers (e.g., ¾ is equivalent to 3:4 and 3 to 4). Strand 1: Number Sense and Operations Every student should understand and use all concepts and

### Which two rectangles fit together, without overlapping, to make a square?

SHAPE level 4 questions 1. Here are six rectangles on a grid. A B C D E F Which two rectangles fit together, without overlapping, to make a square?... and... International School of Madrid 1 2. Emily has

### Vocabulary Cards and Word Walls Revised: June 29, 2011

Vocabulary Cards and Word Walls Revised: June 29, 2011 Important Notes for Teachers: The vocabulary cards in this file match the Common Core, the math curriculum adopted by the Utah State Board of Education,

### -- Martensdale-St. Marys Community School Math Curriculum

-- Martensdale-St. Marys Community School Standard 1: Students can understand and apply a variety of math concepts. Benchmark; The student will: A. Understand and apply number properties and operations.

### Algebra Geometry Glossary. 90 angle

lgebra Geometry Glossary 1) acute angle an angle less than 90 acute angle 90 angle 2) acute triangle a triangle where all angles are less than 90 3) adjacent angles angles that share a common leg Example:

### CCSS-M Critical Areas: Kindergarten

CCSS-M Critical Areas: Kindergarten Critical Area 1: Represent and compare whole numbers Students use numbers, including written numerals, to represent quantities and to solve quantitative problems, such

### Number and Place Value. September 2014 1. Year 3 Year 4 Year 5 Year 6

NRICH http://nrich.maths.org problems linked to the primary national curriculum for mathematics in Years 3, 4, 5 and 6 The stars indicate the level of confidence and competence needed to begin the activity.

### 2nd Grade Math Common Core Curriculum

Quarter 1 I. Number 2.1.2.B.1 To allow for refinement of curricular content and to guide the creation of quality aligned assessments, the Objectives column is intentionally incomplete. The District s Curriculum

### STRAND: Number and Operations Algebra Geometry Measurement Data Analysis and Probability STANDARD:

how August/September Demonstrate an understanding of the place-value structure of the base-ten number system by; (a) counting with understanding and recognizing how many in sets of objects up to 50, (b)

### Year 6 Mathematics - Student Portfolio Summary

Year 6 - Student Portfolio Summary WORK SAMPLE PORTFOLIOS These work sample portfolios have been designed to illustrate satisfactory achievement in the relevant aspects of the achievement standard. The

### Current Standard: Mathematical Concepts and Applications Shape, Space, and Measurement- Primary

Shape, Space, and Measurement- Primary A student shall apply concepts of shape, space, and measurement to solve problems involving two- and three-dimensional shapes by demonstrating an understanding of:

### Geometry and Measurement

The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for

### Analysis of California Mathematics standards to Common Core standards- Kindergarten

Analysis of California Mathematics standards to Common Core standards- Kindergarten Strand CA Math Standard Domain Common Core Standard (CCS) Alignment Comments in reference to CCS Strand Number Sense

### Grade 6 Mathematics Performance Level Descriptors

Limited Grade 6 Mathematics Performance Level Descriptors A student performing at the Limited Level demonstrates a minimal command of Ohio s Learning Standards for Grade 6 Mathematics. A student at this

### K-5 Definitions of Math Terms

TERM acute angle acute triangle addend addition adjacent angle algebraic expression algebraic form/notation algorithm analog clock angle angle measure DEFINITION An angle with measure between zero degrees

### Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008. Chapter 1: Place, Value, Adding, and Subtracting

Grade 5 Math Pacing Guide Page 1 of 9 Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008 Test Preparation Timeline Recommendation: September - November Chapters 1-5 December

### Assessment Anchors and Eligible Content

M07.A-N The Number System M07.A-N.1 M07.A-N.1.1 DESCRIPTOR Assessment Anchors and Eligible Content Aligned to the Grade 7 Pennsylvania Core Standards Reporting Category Apply and extend previous understandings

### Grade 3 Core Standard III Assessment

Grade 3 Core Standard III Assessment Geometry and Measurement Name: Date: 3.3.1 Identify right angles in two-dimensional shapes and determine if angles are greater than or less than a right angle (obtuse

### MATHEMATICS. Standard Course of Study and Grade Level Competencies

MATHEMATICS Standard Course of Study and Grade Level Competencies K-12 Public Schools of North Carolina State Board of Education Department of Public Instruction TABLE OF CONTENTS ACKNOWLEDGMENTS...1

### Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.

Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. Solve word problems that call for addition of three whole numbers

### Indicator 2: Use a variety of algebraic concepts and methods to solve equations and inequalities.

3 rd Grade Math Learning Targets Algebra: Indicator 1: Use procedures to transform algebraic expressions. 3.A.1.1. Students are able to explain the relationship between repeated addition and multiplication.

### Mathematics. Steps to Success. and. Top Tips. Year 5

Pownall Green Primary School Mathematics and Year 5 1 Contents Page 1. Multiplication and Division 3 2. Positive and Negative Numbers 4 3. Decimal Notation 4. Reading Decimals 5 5. Fractions Linked to

### Convert between units of area and determine the scale factor of two similar figures.

CHAPTER 5 Units of Area c GOAL Convert between units of area and determine the scale factor of two. You will need a ruler centimetre grid paper a protractor a calculator Learn about the Math The area of

### Angles that are between parallel lines, but on opposite sides of a transversal.

GLOSSARY Appendix A Appendix A: Glossary Acute Angle An angle that measures less than 90. Acute Triangle Alternate Angles A triangle that has three acute angles. Angles that are between parallel lines,