1
WORK PROGRAM
Chapter 1 Number skills
Strand: Number
Substrands and outcomes:
Whole numbersNS2.1 Counts, orders, reads and records numbers up to four digits
Multiplication and divisionNS2.3 Uses mental and informal written strategies for multiplication and division
Fractions and decimalsNS2.4 Models, compares and represents commonly used fractions and decimals, adds and subtracts decimals to two decimal places, and interprets everyday percentages
Whole numbersNS3.1 Orders, reads and writes numbers of any size
Addition and subtractionNS3.2 Selects and applies appropriate strategies for addition and subtraction with counting numbers of any size
Multiplication and divisionNS3.3 Selects and applies appropriate strategies for multiplication and division
Fractions and decimalsNS3.4 Compares, orders and calculates with decimals, simple fractions and simple percentages
Operations with whole numbersNS4.1 Recognises the properties of special groups of whole numbers and applies a range of strategies to aid computation
Fractions, decimals and percentagesNS4.3 Operates with fractions, decimals, percentages, ratios and rates
Section / GC tips, Investigations, History of mathematics, Maths Quest challenge,10 Quick Questions,
Code puzzles / SkillSHEETs, WorkSHEETs, Interactive games, Test yourself, Topic tests
(CD–ROM) / Technology applications (CD–ROM) /
Learning outcomes
Are you ready? (page 2) / SkillSHEETs (page 2)1.1: Adding and subtracting whole numbers
1.2: Multiplying whole numbers
1.3: Rounding decimals to 2 decimal places
1.4: Order of operations I
1.5: Factors
1.6: Multiples
1.7: Rounding to the first (leading digit)
1.8: Adding and subtracting fractions I
1.10: Multiplying and dividing fractions
1.11: Adding and subtracting decimals
1.12: Multiplying and dividing decimals / NS2.1
- rounding numbers to the nearest ten, hundred or thousand when estimating
- listing multiples for a given number
- determining factors for a given number
- adding and subtracting decimals with the same number of decimal places (to 2 decimal places)
- using a formal written algorithm and applying place value concepts to solve addition and subtraction problems, involving counting numbers of any size
- applying appropriate mental, written or calculator strategies to solve multiplication and division problems
- dividing a number with three or more digits by a single-digit divisor using mental or written strategies
- finding solutions to questions involving mixed operations
- adding and subtracting fractions with the same denominator
- adding and subtracting simple fractions where one denominator is a multiple of the other
- multiplying and dividing fractions
- multiplying and dividing decimals
Basic operations – non-calculator arithmetic (page 3)
Ex 1A Basic operations – non-calculator arithmetic (page 3) / SkillSHEET 1.1: Adding and subtracting whole numbers (page3)
SkillSHEET 1.2: Multiplying whole numbers (page3)
SkillSHEET 1.3: Rounding decimals to 2 decimal places (page3) / GC program – Casio: Tables (page 3)
GC program–TI: Tables (page 3)
Excel: Tangle tables (page3)
Mathcad: Basic operations (page 3)
Excel: The four operations (page 3)
Excel: The four operations (DIY) (page 3) / NS3.2
- selecting and applying appropriate mental, written or calculator strategies to solve addition and subtraction problems
- using a formal written algorithm and applying place value concepts to solve addition and subtraction problems, involving counting numbers of any size
- adding numbers with different numbers of digits
- applying appropriate mental, written or calculator strategies to solve multiplication and division problems
- multiplying three-digit numbers by two-digit numbers using long multiplication
- dividing a number with three or more digits by a single-digit divisor using mental or written strategies
Order of operations (page4)
WE 1, 2
Ex 1B Order of operations (page 5) / Maths Quest challenge: Q1-4 (page 5)
Code puzzle (page 6) / SkillSHEET 1.4: Order of operations I (page 5) / Mathcad: Order of operations (page 5) / NS3.3
- finding solutions to questions involving mixed operations
Factors, multiples, prime and composite numbers (page 7)
WE 3, 4, 5, 6
Ex 1C Factors, multiples, prime and composite numbers (page 9) / Maths Quest challenge: Q1-3 (page 10) / SkillSHEET 1.5: Factors (page9)
SkillSHEET 1.6: Multiples (page9) / Mathcad: Factors, multiples, prime and composite numbers (page9)
GC program – Casio: HCF and LCM (page 9)
GC program – TI: HCF and LCM (page 9)
Excel: Sieve of Eratosthenes (page 9) / NS3.3
- determining whether a number is prime or composite by finding the number of factors
- finding highest common factors and lowest common multiples
Squares and square roots (page 10)
WE 7, 8a-b
Ex 1D Squares and square roots (page 11) / Investigation: Darts competition (page 12)
10 Quick Questions 1 (page 13) / WorkSHEET 1.1 (page12) / Mathcad: Squares and square roots (page 11)
Excel: Squares and square roots (DIY) (page 11) / NS4.1
- using index notation to express powers of numbers
- using the notation for square root
- recognising the link between squares and square roots
Estimation (page 13)
WE 9, 10
Ex 1E Estimation (page14) / SkillSHEET 1.7: Rounding to the first digit (page14) / Mathcad: Estimation (page15)
Excel: The four operations (page 15) / NS3.1
- rounding numbers when estimating
- applying strategies to estimate large quantities (Applying strategies)
- using estimation to check solutions to addition and subtraction problems
Addition and subtraction of fractions (page 16)
WE 11, 12, 13
Ex 1F Addition and subtraction of fractions (page 18) / SkillSHEET 1.8: Adding and subtracting fractions I (page 18)
SkillSHEET 1.9: Adding and subtracting fractions II (page 18) / Excel: Adding and subtracting fractions (page 18)
Mathcad: Adding and subtracting fractions (page 18) / NS3.4 unit 1
- adding and subtracting fractions with the same denominator
- adding and subtracting simple fractions where one denominator is a multiple of the other
- adding and subtracting fractions using written methods
- expressing improper fractions as mixed numerals and vice versa
- adding mixed numerals
- solving a variety of real-life problems involving fractions (Applying strategies)
Multiplication and division of fractions (page 19)
WE 14, 15,
Ex 1G Multiplication and division of fractions (page 20) / 10 Quick Questions 2 (page 21) / SkillSHEET 1.10: Multiplying and dividing fractions (page20)
Game time 001 (page 21)
WorkSHEET 1.2 (page 21) / Excel: Multiplying and dividing fractions (page20)
Mathcad: Multiplying and dividing fractions (page20) / NS4.3
- multiplying and dividing fractions and mixed numerals
- solving a variety of real-life problems involving fractions (Applying strategies)
Fractions to decimals, decimals to fractions (page 22)
WE 16a-b, 17a-b
Ex 1H Fraction to decimals, decimals to fractions (page 23) / Mathcad: Fractions to decimals, decimals to fractions (page 23)
Excel: Converting fractions to decimals (page 23)
Excel: Converting decimals to fractions (page 24)
GC program – Casio: Converting fractions to decimals (page 24)
GC program – TI: Converting fractions to decimals (page 24) / NS3.4 unit 1
- placing decimal numbers on a number line between 0 and 1
- rounding decimals to a given number of places
- converting fractions to decimals (terminating and recurring)
- converting terminating decimals to fractions
- interpreting a calculator display in formulating a solution to a problem, by appropriately rounding a decimal (Communicating, Applying strategies)
Addition and subtraction of decimals (page 24)
WE 18, 19
Ex 1I Addition and subtraction of decimals (page 25) / SkillSHEET 1.11: Adding and subtracting decimals (page25) / Mathcad: Adding and subtracting decimals (page 25)
Excel: Adding decimals (page 25)
Excel: Adding decimals (DIY) (page 25)
Excel: Subtracting decimals (page 25) / NS3.4 unit 1
- adding and subtracting decimal numbers with a different number of decimal places
- adding and subtracting decimals
- solving a variety of real-life problems involving decimals (Applying strategies)
Multiplication and division of decimals (page 26)
WE 20, 21a-b
Ex 1J Multiplication and division of decimals (page 28) / SkillSHEET 1.12: Multiplying and dividing decimals (page28)
SkillSHEET 1.13: Dividing a decimal by a decimal (page 28)
Game time 002 (page 28)
WorkSHEET 1.3 (page 28) / Excel: Multiplying decimals (page 28)
Mathcad: Multiplying and dividing decimals (page28)
Excel: Dividing decimals (page 28) / NS3.4 unit 1
- multiplying and dividing decimal numbers by single digit numbers and by 10, 100 and 1000
- multiplying and dividing decimals
Summary (page 29)
Chapter review (page 30) / ‘Test yourself’ multiple choice questions
(page 30)
Topic tests (2)