Sample booklet
Number and Algebra
Australian Curriculum mathematics workbook
New
for 20 14!
To the Mathematics coordinator R.I.C. Publications® proudly presents New wave Number and Algebra student workbook series. New wave Number and Algebra (Foundation to Year 6) is a series of seven workbooks written specifically to assist teachers to implement the Number and Algebra strand of the Australian Mathematics curriculum. All sub-strands are included—Number and place value, Fractions and decimals, Money and financial mathematics, and Patterns and algebra, as well as the four profiency strands - Understanding, Fluency, Problem solving and Reasoning.
o n ly Fro m ea c h $6.95 At each Year level, the Number and Algebra strand is made up of a set number of content descriptions. These clear, succinct content descriptions are linked with appropriate elaborations and these important points highlight how the topic may be taught, with suggested content and context. Priced at only $6.95 for Foundation, Year 1 and Year 2 and $7.95 for Years 3–6, this is a must-have workbook for 2014. New wave Number and Algebra is fully supported by Australian Curriculum Mathematics: Number and Algebra teacher resource books Foundation to Year 6. These books are a compilation of resources that provide the teacher with background information, student vocabulary, hands-on activities, assessment and links to other curriculum areas.
This sample booklet provides you with pages from New wave Number and Algebra workbook and Australian Curriculum Mathematics: Number and Algebra. If you would like to purchase class sets of New wave Number and Algebra, or add the series to your school’s booklist, simply contact your educational supplier or booklist provider.
For further information please contact R.I.C. Publications® on 08 9240 9888
Australian Curriculum Mathematics: Number and Algebra teacher resource book sample pages Foundation (actual size A4)
2
R.I.C. Publications速
R.I.C. Publications®
3
Content description: Sort and classify familiar objects and explain the basis for these classifications. Copy, continue and create patterns with objects and drawings (ACMNA005) www.ricpublications.com.au © R.I.C. Publications® New wave Number and Algebra
2. Draw your own pattern for the snake.
(c)
(b)
(a)
1. Look at the pattern carefully and continue following it.
Keep it up
39
Patterns and algebra
Patterns and algebra 40 New wave Number and Algebra
2. Sort these items into things you eat and things you don’t eat.
© R.I.C. Publications® www.ricpublications.com.au
1. Sort these items into shape collections.
Sorting
Content description: Sort and classify familiar objects and explain the basis for these classifications. Copy, continue and create patterns with objects and drawings (ACMNA005)
New wave Number and Algebra student workbook sample pages Foundation (actual size A4)
Patterns and algebra
Australian Curriculum Mathematics: Number and Algebra teacher resource book sample pages Year 1 (actual size A4)
4
R.I.C. Publications速
R.I.C. Publications®
seats on the bus.
seats on the bus.
Altogether
www.ricpublications.com.au © R.I.C. Publications®
Bottom level
New wave Number and Algebra
Top level
7
3. The bus below is a double-decker bus! How many seats are on the bottom level? How many are on the top level? Can you work out how many seats there are altogether? o
There are
2. Draw your own sets of two seats on the bus below. How many seats are there on your bus?
There are
1. How many seats on the bus? Count in twos.
The busy bus
8
30
10
35
15
New wave Number and Algebra
40
20
© R.I.C. Publications® www.ricpublications.com.au
3. How many toes are there in your classroom?
2. How many toes are there in the picture below?
25
5
1. There are 5 toes on each foot. Practise counting in 5s on the feet below.
Terrific toe counting
New wave Number and Algebra student workbook sample pages Year 1 (actual size A4)
Number and place value
5
Content description: Develop confidence with number sequences to and from 100 by ones from any starting point. Skip count by twos, fives and tens starting from zero (ACMNA012)
Number and place value
Number and place value
Content description: Develop confidence with number sequences to and from 100 by ones from any starting point. Skip count by twos, fives and tens starting from zero (ACMNA012)
Australian Curriculum Mathematics: Number and Algebra teacher resource book sample pages Year 2 (actual size A4)
6
R.I.C. Publications速
R.I.C. Publications®
36
New wave Number and Algebra
How many show bags did she sell?
3. An eighth (1⁄8) of the 24 funny show bags were sold by the lady.
© R.I.C. Publications® www.ricpublications.com.au
How many carriages were being used?
4. A quarter (1⁄4) of the 8 ghost train carriages were full.
How many were empty?
2. Half (1⁄2) of the 16 Ferris wheel carriages were full.
8
8
8
8
www.ricpublications.com.au © R.I.C. Publications®
8
8
8
How many did he sell?
8
8
1. The clown sold a quarter (1⁄4) of his 20 balloons.
8
8
8
8
New wave Number and Algebra
8
What fraction of the collection is circled? Choose from 1⁄2 (half), ¼ (quarter) or 1⁄8 (eighth). What fraction Collections is circled?
What fraction is this?
8
8
At the fair
37
New wave Number and Algebra student workbook sample pages Year 2 (actual size A4)
Fractions and decimals
7
Fractions and decimals
Content description: p Recognise g and interpret p common uses of halves, quarters q and eighths g of shapes p and collections (ACMNA033)
Content description: Recognise and interpret common uses of halves, quarters and eighths of shapes and collections (ACMNA033)
Fractions and decimals
Australian Curriculum Mathematics: Number and Algebra teacher resource book sample pages Year 3 (actual size A4)
8
R.I.C. Publications速
R.I.C. Publications®
Uncle Henry’s hens each lay 1 egg per day. He has 9 hens. How many eggs will they lay in a fortnight?
www.ricpublications.com.au p © R.I.C. Publications® i ti ®
in the back of the truck. If Uncle Henry makes eight trips, how many bags will he have?
4. Nineteen bags of hen food fit
milk per day. If Uncle Henry has 39 cows, how many litres of milk do his cows produce?
3. Each cow produces 4 litres of
Uncle Henry has 23 rows of hay. How many bales?
2. Eight hay bales make a row.
1.
New wave Number N N b and d Algebra Al b
takes 11 minutes to milk these nine. What is the milking time for 108 cows?
7. Nine cows can milk at once. It
41
Uncle Henry has 7 paddocks, how many cows does he have?
6. Each paddock holds 87 cows. If
Wednesday, how many hens are sold in 11 weeks?
5. If 34 hens are sold to market each
Use written or mental methods to solve these farm-based problems.
A busy day at the farm
ones
x
3 x 94
ones
x
4 x 39
ones
x
(d) 5 x 93
(c)
ones
x
Tens
Tens
Tens
Tens
= 24
= 180
(b) 5 x 57
(a)
3
www.ricpublications.com.au © R.I.C. Publications®
1.
ones
3x8
8
Ones
3 x 60
Problem example 3 x 68 Tens x 6
Ones
Ones
Ones
Ones
204
+ 24
180
New wave Number and Algebra
More grids to use!
43
New wave Number and Algebra student workbook sample pages Year 3 (actual size A4)
Number and place value
9
Number and place value
Content description: Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies (ACMNA057)
Number and place value
Content description: Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies (ACMNA057)
Australian Curriculum Mathematics: Number and Algebra teacher resource book sample pages Year 4 (actual size A4)
10
R.I.C. Publications速
R.I.C. Publications®
56
1.
Deal 8
Price per kilo
Deal 9
Deal 5
3 kilos of sausages at a price of $18.
Price per kilo
Deal 6
10 kilos of sausages at a price of $35.
Price per kilo
Deal 2
5 kilos of sausages at a price of $15.
Price per kilo
Deal 3
6 kilos of sausages at a price of $24
Price per kilo
New N wave w e Number Number and Algebra Num a
Price per kilo
Price per kilo
Price per kilo
© R.I.C. Publications Pub blicatio ations n ® www.ricpublications.com.au www.ricpu ww ricpu icpublic p b catio ations.com.au
Price per kilo
10 kilos of sausages at a price of $65.
12 kilos of sausages at a price of $30.
7 kilos of sausages at a price of $35.
10 kilos of sausages at a price of $55.
8 kilos of sausages at a price of $32.
Deal 7
Sausages ’R’ Us
Deal 4
Big Kev’s Meat
Deal 1
Sam’s Sausages
(b) Rank the top three deals by writing a number in the star.
(a) Work out the price per kilogram.
Three butchers offer great deals on the sale of sausages.
Sausages, sausages and more sausages!
60
$0.88
Carrots
$3.26
Chocolate
Sauce
To nearest 5c
New wave Number and Algebra
$4.47
$3.12
$5.05
Chops
Chips
$1.59
Broccoli
$2.99
$9.99
Ice-cream
Muesli
$3.07
$2.12
Toothpaste Jelly
$4.54
$3.69
Pumpkin Fruit salad
$2.93
Biscuits
$2.35
$4.99
Biscuits
Milk
Cost
Item bought
Change from $10
Change from $50
© R.I.C. Publications® www.ricpublications.com.au
Change from $20
The following items were bought at the local supermarket. Round off the prices then calculate the change from 10, 20 and 50 dollar notes.
Supermarket Round Up – Bring your cash!
New wave Number and Algebra student workbook sample pages Year 4 (actual size A4)
Money and financial mathematics
11
Content description: Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies (ACMNA080)
Money and financial mathematics
CContent description: SSolve l problems bl involving i l i purchases h an andd the calculation of change to the nearest five cents with and without digital technologies (ACMNA080)
Money and financial mathematics
Australian Curriculum Mathematics: Number and Algebra teacher resource book sample pages Year 5 (actual size A4)
12
R.I.C. Publications速
R.I.C. PublicationsÂŽ
72
(k)ČŠ n ČŠX ČŠ ČŠ ČŠ ČŠ ČŠ
(j)ČŠ ČŠX ČŠ ČŠ ČŠ ČŠ ČŠ
(i)ČŠ ČŠĆ“ ČŠ ČŠ ČŠ ČŠ ČŠ
New wave Number and Algebra
(l)ČŠ ČŠX ČŠ ČŠ ČŠ ČŠ ČŠ
(h)ČŠ ČŠX ČŠ ČŠ ČŠ ČŠ ČŠ
(d)ČŠ ČŠn ČŠ ČŠ ČŠ ČŠ ČŠ
Š R.I.C. PublicationsŽ www.ricpublications.com.au
(n)ČŠ ČŠX ČŠ ČŠ ČŠ ČŠ ČŠ
(g)ČŠ ČŠĆ“ ČŠ ČŠ ČŠ ČŠ ČŠ
(f)ČŠ ČŠX ČŠ ČŠ ČŠ ČŠ ČŠ
(e)ČŠ ČŠĆ“ ČŠ ČŠ ČŠ ČŠ ČŠ
(m)ČŠ Ć“ ČŠ ČŠ ČŠ ČŠ ČŠ ČŠ
(c)ČŠ ČŠĆ“ ČŠ ČŠ ČŠ ČŠ ČŠ
sČŠ .UMBERSČŠCANČŠBEČŠUSEDČŠINČŠANYČŠORDER
ČŠ
(b)ČŠ ČŠĆ“ ČŠ ČŠ ČŠ ČŠ ČŠ
sČŠ 7HENČŠSOLVINGČŠEQUATIONS ČŠDIVISIONČŠANDČŠMULTIPLICATIONČŠ come before subtraction and addition.
ČŠ
(a)ČŠ ČŠn ČŠ ČŠ ČŠ ČŠ ČŠ
sČŠ %ACHČŠSIGNČŠMAYČŠBEČŠUSEDČŠONLYČŠONCEČŠINČŠEACHČŠEQUATION
ČŠ
each box below.
1. Make an equation using the signs and numbers in
making equations
3 6 2
Remy Rachel
2
4
12
6
3
4
5
6
7
as many 20 cent coins as Remy. y.
Riley ďŹ nds
8
16
48
24
9
18
54
27
20
60
30
10
Rachel:
Riley:
Rupert:
Rupert:
5 1.5
Angus Audrey
15
4
5
7.5
25
15
6
9
30
18
as many pizzas as Alan. as many pizzas as Annie.
Angus eats Audrey eats
7
10.5
35
21
8
12
40
24
9
13.5
45
27
15
50
30
10
Annie: New wave Number and Algebra
Alan: 76
Annie: Alan:
Š R.I.C. PublicationsŽ www.ricpublications.com.au
Angus:
Angus:
How many pizzas will Alan, Annie and Angus have eaten when Audrey ďŹ nally eats her 18th and 251â „2 pizza?
as many pizzas as Audrey.
as many pizzas as Audrey.
6
20
12
Alan eats
Annie eats
3 9
4.5
Finish these word problems.
3
10
3
2 6
1
Alan Annie
The table below compares the number of pizzas a group of friends eat over the p period of a yyear.
Rachel:
Riley:
How many coins will Riley, Rachel and Rupert have when Remy ďŹ nds her 78th and 90th coins respectively?
as many 20 cent coins as Riley. y.
14
42
21
Rachel ďŹ nds
12
36
18
as many 20 cent coins as Rachel. el.
10
30
15
Remy ďŹ nds
8
24
12
as many 20 cent coins as Riley. ey.
6
18
9
Rupert ďŹ nds
Finish these word problems.
1
Riley Rupert
The table below compares the number of 20 cent pieces that four friends ďŹ nd each day during their summer holidays.
solving problems with tables – 2
New wave Number and Algebra student workbook sample pages Year 5 (actual size A4)
Patterns and algebra
13
Content description: Use equivalent number sentences involving multiplication and division to ďŹ nd unknown quantities (ACMNA121) MNA121)
Patterns and algebra Content description: Use equivalent number sentences involving multiplication and division to ďŹ nd unknown quantities (ACMNA121)
Patterns and algebra
Australian Curriculum Mathematics: Number and Algebra teacher resource book sample pages Year 6 (actual size A4)
14
R.I.C. Publications速
R.I.C. Publications® Decimal
Fraction
Percentage %
Colours involved
Percentage %
Colours involved
Percentage %
Colours involved
New wave Number and Algebra
Pie chart
Decimal
Its flag
Fraction
Pie chart
Decimal
Fraction
Its flag
Pie chart
Its flag
www.ricpublications.com.au © R.I.C. Publications®
Colour 3 –
Colour 2 –
Colour 1 –
Country
Colour 3 –
Colour 2 –
Colour 1 –
Country
Colour 3 –
Colour 2 –
Colour 1 –
Country
53
Click onto ‘Flags by colours’ website <http://shaheeilyas.com/flags/> to view the flags and flag colours pie charts for each country listed below; then complete the tasks.
I see a flag! – 1
Fraction
www.ricpublications.com.au © R.I.C. Publications®
Dark blue
White
Yellow
Orange
The Kites colours
Decimal
New wave Number and Algebra
The Kites will commence playing in their local football league next year. They have settled on their colours of orange, yellow, white and dark blue. All clubs love to fly their club flag. The Kites as yet do not have a design, so this is where you come in. All we know is that yellow and dark blue will have the same fraction of the flag and that white is a bigger decimal than orange. Complete the flag and record the fractions and decimals below.
The Kites – the newest team in Australian Football
59
New wave Number and Algebra student workbook sample pages Year 6 (actual size A4)
Fractions and decimals
15
fractions and decimals
Content description: Make connections between equivalent fractions, decimals and percentages (ACMNA131)
fractions and decimals
Content description: Make connections between equivalent fractions, decimals and percentages (ACMNA131)
PRICE LIST Student workbook
Number and Algebra Australian Curriculum mathematics workbook
TITLE YEAR CODE New wave Number and Algebra Foundation RIC–6115 New wave Number and Algebra Year 1 RIC–6116 New wave Number and Algebra Year 2 RIC–6117 New wave Number and Algebra Year 3 RIC–6108 New wave Number and Algebra Year 4 RIC–6109 New wave Number and Algebra Year 5 RIC–6110 New wave Number and Algebra Year 6 RIC–6111
ISBN 978-1-922116-31-4 978-1-922116-32-1 978-1-922116-33-8 978-1-922116-27-7 978-1-922116-28-4 978-1-922116-29-1 978-1-922116-30-7
PRICE $6.95 $6.95 $6.95 $7.95 $7.95 $7.95 $7.95
Teacher resource Mathematics Mathematics
Number andAlgebra TITLE Australian Curriculum Mathematics — Number and Algebra Australian Curriculum Mathematics — Number and Algebra Australian Curriculum Mathematics — Number and Algebra Australian Curriculum Mathematics — Number and Algebra Australian Curriculum Mathematics — Number and Algebra Australian Curriculum Mathematics — Number and Algebra Australian Curriculum Mathematics — Number and Algebra
YEAR Foundation Year 1 Year 2 Year 3 Year 4 Year 5 Year 6
CODE RIC–6084 RIC–6085 RIC–6086 RIC–6087 RIC–6088 RIC–6089 RIC–6090
ISBN PRICE 978-1-92175-068-7 $37.95 978-1-92175-069-4 $37.95 978-1-92175-070-0 $42.95 978-1-92175-071-7 $42.95 978-1-92175-072-4 $47.95 978-1-92175-073-1 $47.95 978-1-92175-074-8 $47.95
NEW for 2014! For further information please contact R.I.C. Publications® on 08 9240 9888 F1158