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Teaching and Learning Activities

 

Support documents cross referenced with the new syllabus

 

DENS 1 - Activities by syllabus outcomes

 

An eight page pdf document (57 KB) which lists the teaching activities contained in the syllabus support document Developing efficient numeracy strategies: Stage 1 (1989. NSW DET Professional Support and Curriculum Directorate) sorted by syllabus outcomes.

 

DENS 2 - Activities by syllabus outcomes

 

A seven page pdf document (62 KB) which lists the teaching activities contained in the syllabus support document Developing efficient numeracy strategies: Stage 2 (2003. NSW DET Professional Support and Curriculum Directorate) sorted by syllabus outcomes.

 

Lesson Starters (Number strand)

 

The answer is 24 what is the question?

Knight Square

Student Learning Journal

Student Beliefs about Mathematics

(pdf 113kb)

(pdf 40kb)

(pdf 48kb)

(pdf 34kb)

 

 

Hundreds Chart Activities (Number strand)

 

The purpose of the hundreds chart is to strengthen the understanding of standard and non-standard partitioning of two-digit numbers.  For example, 36 can be seen as 3 tens + 6 (standard partitioning), and 2 tens + 16 (non-standard partitioning.  These partitionings can be useful when adding and subtracting two-digit numbers.                           

Counting On teaching activities professional development package 2003 p.69  NSW DET

 

Hundreds charts: List of Activities

Hundreds charts: 1-100 and blank

Hundreds charts: 1-1000

(pdf 51kb) 

(pdf 62kb) 

(pdf 47kb) 

 

Hundreds jigsaw: horizontal and vertical strips 1-100

Hundreds jigsaw: 1-100

Hundreds jigsaw: 0.1-10

Hundreds jigsaw: 0.01-1

(pdf 65kb) 

(pdf 65kb) 

(pdf 65kb) 

(pdf 65kb) 

 

Hundreds chart: blank plus sign

Hundreds chart: blank diagonals

Hundreds chart: windows activity

(pdf 20kb) 

(pdf 22kb) 

(pdf 85kb) 

 

Ten-frames (Number strand)

 

The ten-frame assists students to form a clear understanding of the base ten structure of numbers.  When ten-frames are used in conjunction with counters, students can model combining and partitioning in a structured way.  For example, 3 counters and 4 counters can be combined to show a total of 7 counters.  Just as ten is essential to our understanding of operations on numbers, five often acts as a base for mental calculation.  This is due to students' early use of finger strategies with arithmetic.

Counting On teaching activities professional development package 2003 p.35 NSW DET

 

Five frames: standard

Tens-frames: standard

Tens-frames: doubles

Tiny tens-frames

(pdf 131kb)

(pdf 449kb)

(pdf 451kb)

(pdf 54kb) 

 

Multiplication and Division (Number strand)

 

 

Sharing Boards

Times Tables Chart

Investigating Patterns within Multiples

(pdf 48kb)

(pdf 109kb)

(pdf 98kb)

 

Number Strand

 

 

Number strips: 1-10, 11-20, 21-30

Decimal Strips: 0.1-1.0, 1.1-2.0, 2.1-3.0

Speed Limit Signs

(MS Publisher 48kb)

(MS Publisher 109kb)

(pdf 1.52Mb)

 

Make 100, 1000, 10 and 1

Commit Four

 

(pdf 171kb)

(pdf 97 kb)

 

 

Fractions and Decimals (Number strand)

 

Fractions – ‘A dozen pikelets’

‘Fraction Problems’ Stage 1

‘Biggest or Smallest’ Stage 2

(pdf 34kb)

(pdf 110 kb)

(pdf 120kb)

 

Fraction Tiles (set of 51)

Shade the Fraction Wall: Gameboards 1 and 2

Fraction Wall Poster

(pdf 41kb)

(pdf 51kb)

(pdf 22kb)

 

Fractions and decimals card game ‘Representations’ (pdf 44kb)

 

A two document containing the background information and answer grid for this Stage 2 and Stage 3 activity which has been adapted from the Mathematics K-6 Sample Units of Work document (p.101)

 

Fractions and decimals card game ‘Representations’ BLM (pdf 184kb)

 

A ten page document containing the black line masters for the 48 cards.

 

Working Mathematically with Fractions and Decimals: Teaching and learning activities list (MS-Word 104kb)

 

A two page document containing a list of over 40 teaching and learning activities cross referenced with syllabus support materials where applicable.

 

Patterns and Algebra Strand

 

Working Mathematically worksheets (Six pdf documents)

 

A series of six worksheets which focus on embedding the Working Mathematically strand outcomes into the teaching and learning of Patterns and Algebra from Stage 1 to Stage 4

 

Worksheet 1  Discovering number patterns (odd & even numbers using counters, adding odd & even numbers, adding consecutive odd numbers,

adding consecutive counting numbers)

 

Worksheet 2  Investigating patterns on the hundreds chart (adding 1 to 10, adding 1 to 100)

 

Worksheet 3  Discovering square numbers (using counters to model each array)

 

Worksheet 4  Discovering triangular numbers (using ten pin bowling pins, toilet rolls, ice-cream containers, real world examples)

 

Worksheet 5  Exploring square & triangular numbers (using triangular numbers represented on 2cm grid paper cut outs)

 

Worksheet 6  Guess my rule

 

Multiples – Hundred chart patterns

 

A six page pdf document (364kb) containing student worksheets as follows: 

page 1: patterns of 2, 4 and 8. 

page 2: patterns of 3, 6, 9 and 7. 

page 3: patterns of 5, 10, square numbers, triangular numbers. 

pages 4–6: teacher friendly answer sheets!

 

4 by 5 array (arrangement for counters)

‘Is the same as’ cards

Pop sticks baseboard (numbered 1-30 and blank)

(pdf 158kb)

(pdf 16kb)

(pdf 46kb)

 

 

 

 

 

Triangular and Square numbers investigation using 1 cm and 2 cm grid representations

 

A three page pdf document (38kb) containing representations of square numbers which you then cut out as two triangular numbers. For use with the Working Mathematically worksheet 5.

 

1 cm and 2 cm grid paper

 

A two page pdf document (26kb) containing 1 cm and 2 cm grid paper

 

Using the clothes line in the Number Strand 

 

Clothes Line: Background information

 

A ten page pdf document (94kb) containing the background information and Table of Contents for this Stage 2 and Stage 3 activity which has been adapted from the Mathematics K-6 Sample Units of Work document (pp.99, 127)

 

Clothes line cards BLM (nine pdf documents)

 

Clothes line cards: Counting numbers 1 to 100

 

A 25 page pdf document (20kb) containing the number cards 1 to 100 black line masters.

 

Clothes line cards: Directed numbers 0 to -30

 

An eight pdf document (119kb) containing the number cards 0 to -30 black line masters.

 

Clothes line cards: Decimals

 

A five page pdf document (20kb) containing the 20 decimal cards black line masters.

 

Clothes line cards: Fractions

 

An 18 page pdf document (78kb) containing the 66 fraction cards black line masters.

 

Clothes line cards: Square Numbers

A four page pdf document (54kb) containing black line master cards for the first 15 square numbers, each represented by a dot pattern.

 

Clothes line cards: Triangular Numbers

A five page pdf document (61kb) containing black line master cards for the first 19 triangular numbers, each represented by a dot pattern.

 

Clothes line cards: Prime Numbers

A four page pdf document (19kb) containing black line master cards for the first 26 prime numbers.

 

Clothes line cards: Fibonacci Numbers

A four page pdf document (21kb) containing black line master cards for the first 14 Fibonacci numbers, each represented by a number pattern.

 

Clothes line cards: Palindromic Numbers

A five page pdf document (18kb) containing black line master cards for the first 19 palindromic numbers.

 

Cooperative group work

 

Trisaw - Time   A 13 page pdf document (216kb) containing black line masters and more!  Trisaws can be used for: cooperative group work; working mathematically processes; open ended activities; differentiating the curriculum; observational assessment.