Policy Statement (CAPS); b. CAPS required progressive distribution per term; c. Teachers guidelines per Grade as per the CAPS. requirements.

Transcription

1 The Wyze Maths Workbooks are the only Workbooks available according to the exact prescribed CAPS Educational Department requirements. In order to verify the educational correctness of any educational related book for this Grade there are only two options available: Option 1 to visit the Educational Curriculum website to compare the index of the book in question against the Curriculum CAPS requirements, or Option 2 to compare the book in question according to the index of our Wyze Workbook. Although the Wyze Workbooks were developed with Parental assistance in mind (see Parent involvement on ANA link) by, for the first time ever, giving informative definitions and examples to assist the Parent and Learner with correct Educational terminology per Grade, this Wyze Workbook also adhere to the Educational Curriculum requirements, i.e. a. National Curriculum Statement (NCS), Currculum Assessment Policy Statement (CAPS); b. CAPS required progressive distribution per term; c. Teachers guidelines per Grade as per the CAPS requirements. WYZE EDUCATIONAL PUBLISHERS i

2 MATHS WORKBOOK GRADE 3 This book belongs to: REMEMBER: You should never be afraid of making mistakes, because that s the only way of gaining confidence and knowledge. Maths Workbook for Grade 3 WYZE Educational Publications PO Box Moreletapark 0044 Fax: (012) First Edition, First Impression ISBN: All rights reserved. No part of this publication may be reproduced. ii WYZE EDUCATIONAL PUBLISHERS

3 MATHS GRADE 3 LEARNING SKILLS NUMBERS, OPERATIONS AND RELATIONSHIPS We will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and to check answers with competence and confidence. PATTERNS, FUNCTIONS AND ALGEBRA We will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills. SPACE AND SHAPE (GEOMETRY) We will be able to describe and represent characteristics of and relationships between twodimensional shapes and three-dimensional objects in a variety of orientations and positions. MEASUREMENT We will be able to use appropriate measuring units, instruments and formulae in a variety of situations. DATA HANDLING We will be able to collect, summarise, display and critically analyse data in order to draw conclusions and make predictions, and to interpret and determine chance variation. My class Boys Girls WYZE EDUCATIONAL PUBLISHERS iii

4 Assessment Index Page Term 1 1 NUMBERS, OPERATIONS AND RELATIONSHIPS 1 1. Count objects Group to at least 200 objects to estimate and count reliably Give a reasonable estimate of a number of objects that can be checked by counting Count forwards and backwards Count forwards and backwards in the intervals specified in grade 2 from any given number between 0 and Count forwards and backwards in 100s to at least Number symbols and number names. 3.1 Recognise, identify and read numbers Describe, compare and order numbers. 4.1 Describe, compare and order numbers to Place value. 5.1 Recognise the place value of numbers to Problem-solving techniques. 6.1 Use the following techniques when solving problems and explain solutions to problems. 7. Addition and subtraction. 7.1 Solve word problems in context and explain own solution to problems involving addition, subtraction leading answers up to Repeated addition leading to multiplication. 8.1 Solve number problems in context and explain own solution to problems involving multiplication with answers up to Grouping and sharing leading to division. 9.1 Solve and explain solutions to practical problems that involve equal sharing and grouping up to 50 with answers that may include remainders. 10. Fractions Solve and explain solutions to practical problems that involve equal sharing leading to solutions that include unitary and non-unitary fractions e.g.,,, etc. 11. Money Recognise and identify the South African coins and banknotes Solve money problems involving totals and change in Rand or cents. 12. Techniques (methods or strategies) Use the following techniques when performing the following operations. 13. Addition and subtraction Add up to Subtract from Use appropriate symbols (+, -, =) Practise number bonds to iv WYZE EDUCATIONAL PUBLISHERS

5 14. Repeated addition leading to multiplication Multiply numbers 1 to 10 by 2, 5, 3 and Use appropriate symbols (x, =). 15. Division Divide numbers to 50 by 2, 5 and Use appropriate symbols (, =). 16. Mental mathematics Number concept: Range Rapid recall. 17. Fractions Apply and name fractions in familiar contexts including halves, quarters, eighths, thirds, sixths and fifths Recognise fractions in diagrammatic form Write fractions as 1 half, 1 third PATTERNS, FUNCTIONS AND ALGEBRA Geometric patterns Copy, extend and describe in words Create and describe own geometric patterns Number patterns Copy, extend and describe simple number sequences up to at least 200. Sequences should show counting forwards and backwards in. 44 SPACE AND SHAPE D shapes Range of shapes Features of shapes. 47 MEASUREMENT Time Telling the time Capacity/volume Informal measurement Introduction formal measurement. DATA HANDLING Collect and organise data Collect data about the class or school to answer questions posed by the teacher Represent data Represent data through tables and bar graphs Analyse and interpret data Talk about and answer questions about data in tables and bar graphs. 60 WYZE EDUCATIONAL PUBLISHERS v

6 Term 2 61 NUMBERS, OPERATIONS AND RELATIONSHIPS Counting objects Group to at least 500 objects to estimate and count reliable Give a reasonable estimate of a number of objects that can be checked by counting Count forwards and backwards Count forwards and backwards in the intervals specified in grade 2 with increased number ranges Count forwards and backwards in 50s and 100s up to at least Number symbols and number names Recognise, identify and read numbers Describe, compare and order numbers Describe, compare and order numbers to Place value Recognise the place value of numbers up to Problem-solving techniques Use the following techniques when solving problems Addition and subtraction Solve word problems in context and explain own solution to problems involving addition and subtraction with answers up to Repeated addition leading to multiplication Solve number problems in context and explain own solution to problems involving multiplication with answers up to Grouping and sharing leading to division Solve number problems in context and explain own solution to problems that involve equal sharing and grouping with answers up to 75. Answers may include remainders Fractions Solve and explain solutions to practical problems that involve equal sharing leading to solutions that include unitary and non-unitary fractions, e.g.,,, etc Money Recognise and identify the South African coins and banknotes Solve money problems involving totals and change in rand or cents. 12. Techniques (methods or strategies) Use the following techniques when performing calculations. 13. Addition and subtraction Add up to Subtract from Use appropriate symbols (+, -, =) Practise number bonds to Repeated addition leading to multiplication Multiply 2, 3, 4, 5, 10 to a total of Use appropriate symbols (x, =) vi WYZE EDUCATIONAL PUBLISHERS

7 15. Division Divide numbers to 50 by 2, 4, 5 and Use appropriate symbols (, =). 16. Mental mathematics Number concept: Range Rapid recall. 17. Fractions Use and name unitary fractions including halves, quarters, eighths, thirds, sixths and fifths Recognise fractions in diagrammatic form Write fraction as 1 half, 1 third PATTERNS, FUNCTIONS AND ALGEBRA Geometric patterns Copy, extend and describe in words Create and describe own geometric patterns Number patterns Copy, extend and describe simple number sequences up to at least SPACE AND SHAPE Position, orientation and views. 1.1 Position and views. 1.2 Position and directions D objects. 2.1 Range of objects. 2.2 Features of objects. 2.3 Focused activities. 3. Symmetry. 3.1 Determine line of symmetry through paper folding and reflection. 3.2 Suggested focus of Term MEASUREMENT Time Telling the time calendars, 12 hour time on analogue clocks and digital clocks, etc Calculate length of time and passing of time Length. 2.1 Informal measuring. 2.2 Introducing formal measurement. 3. Mass. 3.1 Informal measuring. 3.2 Introducing formal measurement DATA HANDLING Analyse and interpret data Analyse data from representations provided. 125 WYZE EDUCATIONAL PUBLISHERS vii

8 Term NUMBERS, OPERATIONS AND RELATIONSHIPS Count objects Group to at least 700 objects to estimate and count reliably Give a reasonable estimate of a number of objects that can be checked by counting Count forwards and backwards Count forwards and backwards in the intervals specified in grade 2 with increased number ranges Count forwards and backwards in 20s, 25s, 50s, 100e to at least Number symbols and number names. 3.1 Recognise, identify and read numbers. 4. Describe, compare and order numbers. 4.1 Describe, compare and order numbers to Use ordinal numbers to show order, place or position. 5. Place value. 5.1 Recognise the place value of numbers to Problem-solving techniques. 6.1 Use the following techniques when solving problems and explain solutions to problems. 7. Addition and subtraction. 7.1 Solve word problems in context and explain own solution to problems involving addition, subtraction leading answers up to Repeated addition leading to multiplication. 8.1 Solve number problems in context and explain own solution to problems involving multiplication with answers up to Grouping and sharing leading to division. 9.1 Solve and explain solutions to practical problems that involve equal sharing and grouping up to 150 with answers that my include remainders. 10. Fractions Solve and explain solutions to practical problems that involve equal sharing leading to solutions that include unitary and non-unitary fractions, e.g.,,, etc Money Recognise and identify the South African coins and banknotes Solve money problems involving totals and change in Rand and cents Convert between rand and cents. 12. Techniques (methods or strategies) Use the following techniques when performing the operations. 13. Addition and subtraction Add up to Subtract from Use appropriate symbols (+, -, =) Practice number bonds to viii WYZE EDUCATIONAL PUBLISHERS

9 14. Repeated addition leading to multiplication Multiply 2, 3, 4, 5, 10 to a total of Use appropriate symbols (x, =). 15. Division Divide numbers to 99 by 2, 4, 5, 10 and Use appropriate symbols (, =). 16. Mental mathematics Number concept: Range Rapid recall. 17. Fractions Apply and name fractions in familiar contexts including halves, quarters, eighths, thirds, sixths and fifths Recognise fractions in diagrammatic form Begin to recognise that two halves or three thirds make one whole and that 1 half and 2 quarters are equivalent Write fractions as 1 half, 2 thirds PATTERNS, FUNCTIONS AND ALGEBRA Geometric patterns. 1.1 Copy, extend and describe in words. 1.2 Create and describe own geometric patterns. 2. Number patterns. 2.1 Copy, extend and describe simple number sequences to at least Create and describe own number patterns SPACE AND SHAPE Position, orientation and views Position and views Position and directions D objects. 2.1 Range of objects. 2.2 Features of objects. 2.3 Focused activities D shapes. 3.1 Range of shapes: circles, triangles, squares, rectangles. 3.2 Features of shapes: shape, straight sides, rounded sides MEASUREMENT Time Telling the time Calculate length of time and passing of time Length. 2.1 Introducing formal measuring. 3. Perimeter. 3.1 Investigate the distance around 2-D shapes and 3-D objects using direct comparison or informal units WYZE EDUCATIONAL PUBLISHERS ix

10 DATA HANDLING Collect and organise data Re-organise data provided in a list or tally or table in a bar graph Data presentation Represent data on bar graph Analyse and interpret data Answer questions on the data in the bar graph. 197 Term NUMBERS, OPERATIONS AND RELATIONSHIPS Count objects Group to at least objects to estimate and count reliable. 1.2 Give a reasonable estimate of a number of objects that can be checked by counting Count forwards and backwards Count forwards and backwards in the intervals specified in grade 2 within increased number ranges Count forwards and backwards in 20s, 25s, 50s, 100s to at least Number symbols and number names Recognise, identify and read numbers Describe, compare and order numbers Describe, compare and order numbers to Place value Recognise the place value of numbers to Problem-solving techniques Use the following techniques when solving problems and explain solutions to problems Addition and subtraction Solve word problems in context and explain own solution to problems involving addition and subtraction with answers up to Repeated addition leading to multiplication Solve number problems in context and explain own solution to problems involving multiplication with answers up to Grouping and sharing leading to division Solve and explain solutions to practical problems that involve equal sharing and grouping up to 100 with answers that may include remainders Fractions Solve and explain solutions to practical problems that involve equal sharing leading to solutions that include unitary and non-unitary fractions, e.g.,,, etc Money Recognise and identify the South African coins and bank notes Solve money problems involving totals and change in rand and cents Convert between rand and cents x WYZE EDUCATIONAL PUBLISHERS

11 12. Techniques (methods or strategies) Use techniques when performing calculations. 13. Addition and subtraction Add up to Subtract from Use appropriate symbols (+, -, =) Practise number bonds to Repeated addition leading to multiplication Multiply 1, 2, 3, 4, 5, 10 to a total of Use appropriate symbols (x, =). 15. Division Divide numbers to 99 by 2, 3, 4, 5 and Use appropriate symbols (, =). 16. Mental mathematics Number concept: Range Rapid recall. 17. Fractions Apply and name fractions in familiar contexts including halves, quarters, eighths, thirds, sixths and fifths Recognise fractions in diagrammatic form Begin to recognise that two halves or three thirds make one whole and that 1 half and 2 quarters are equivalent Write fractions as 1 half, 2 thirds PATTERNS, FUNCTIONS AND ALGEBRA Geometric patterns Patterns around us Number patterns Copy, extend and describe simple number sequences up to at least Create and describe own number patterns. 241 SPACE AND SHAPE D objects. 1.1 Range of objects. 1.2 Features of objects. 2. Symmetry. 2.1 Recognise and draw line of symmetry in 2-D geometrical and nongeometrical shapes MEASUREMENT Time. 1.1 Telling the time. 1.2 Calculate length of time and passing of time. 2. Mass. 2.1 Introducing formal measuring. 3. Capacity / volume. 3.1 Introducing formal measuring. 4. Area. 4.1 Investigate the area using tiling WYZE EDUCATIONAL PUBLISHERS xi

12 DATA HANDLING Analyse and interpret data. 1.1 Analyse data from representations provided xii WYZE EDUCATIONAL PUBLISHERS

13 Will term 1 differ much from the rest of the year? In term 1 of the workbook, we endeavour to address all assessments as required by the curriculum (CAPS)'s teachers guidelines, by way of explanations. The purpose of term 2 is to support these explanations progressively with an increased number of exercises and operations. In term 3 we investigate the required assessments with more progressive exercises and calculations. This is also illustrated with relevant examples and tips. To revise all the compulsory assessments, term 4 continues with many more exercises and calculations to prepare the learner for the final exams. Therefore, term 4 will determine whether the learner has conquered the assessments required by the curriculum. We strongly advise the learners to review the explanations introduced in term 1. WYZE EDUCATIONAL PUBLISHERS xiii