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The pages in this book are designed to support the Math Common Core Curriculum.At Grade 1 students focus mainly on number and the manipulation of small numbers. Students should be able to count to 10 and add, subtract and multiply numbers with totals up to 10. They should also be able to recognise shapes and compare lengths areas and capacities. Finally, they should be able to follow or give directions forward, back, turn left and turn right.For a complete learning sequence then parents and teachers should purchase Mighty Math Beginner Mathematician. There are 4 books in this RED series and the books start with basic counting and writing numbers, simple addition through to more structured arithmetic. It is available through Mahobe or Follet. The titles in the are:Let’s Learn to CountLet’s Use NumbersLet's Add and SubtractLet's Multiply and DivideAt Grade 2 students will still be achieving at Level 1 however they should be able to count and manipulate numbers to 100. They should be able to continue numberpatterns based on ones, twos, fives and tens. They should also be able to compare different measures, complete simple transformations and represent simple statistical data incategories.For a complete learning sequence for Grade 2 then parents and teachers should purchase Mighty Math Developing Mathematician Series.There are 3 books in this YELLOW series. The books follow a structured learning sequence that starts by comparing smaller and larger numbers, teaches about bigger numbers up to 100 and focuses on the 1to 5 times tables as well as the general arithmetic operations of addition and subtraction up to 100. After completing this series, students will have increased confidence in dealing with numbers. The titles in the are:Let’s Look at NumbersLet’s Step up to Bigger NumbersLet’s Find all the Right NumbersFor older children look out for the: Blue, Green, Orange and Mighty Math for 9-12 year old series.You can be confident that you are covering all the right work when you use Mighty Math.
Citation preview
MightY Math
Kim Freeman
National CurriculumStandards Years 1 and 2
www.mathscentre.co.nz
www.mahobe.co.nz
What is Mighty Math?
Mighty Math is a series of workbooks d Eachbook is a culmination of many years teaching experience by the author. By using thesebooks, students can practise and discover the mathematical concepts and principles thatare essential for success in school mathematics.
The Mighty Math series covers all the strands and relevant age group levels ofMathematics in the New Zealand Curriculum: Number, Measurement, Geometry, Algebra,and Statistics. Within these strands, students will get practice at: calculating, estimatingand using measuring equipment. We are sure that the work will fit into any mathematicscurriculum.
esigned to support the Math Curriculum.
The following pages provide Year 1 and2 students with both reinforcement and extension to their normal school mathematicslessons. This allows them to maintain the skills that they already have and helps toovercome any weaknesses. The pages can also complement school lessons, helping thestudent to develop faster in mathematics, and give them a "head start" in class.
If you use the sheets in this book often, or if you just find Mighty Math really useful thenyou might consider a donation. Send your money through PayPal: [email protected]
MIGHTY MATHS - National Curriculum Standards for Year 1 and 2
Mahobe Resources (NZ) Ltd
Kim Freeman
ISBN(13) 9781877489198
This eBook has been provided by Mahobe Resources (NZ) Ltd to .School teachers and their students are able to freely download this book from
website . Electronic copies of the complete eBook may not be copiedor redistributed. Students have permission to print one copy for their personal use. Any photocopying byteachers must be for training or educational purposes and must be recorded and carried out in accordancewith NZ Copyright Licensing Ltd guidelines. The content presented within the book represents the views ofthe publisher and his contributors as at the date of publication. Because of the rate with which conditionschange, the publisher and his contributors reserve the right to alter and update the contents of the book atany time based on the new conditions. This eBook is for informational purposes only and the publisher andauthor do not accept any responsibilities for any liabilities resulting from the use of the information within.While every attempt has been made to verify the content provided, neither the publisher nor the authorassume any responsibility for errors, inaccuracies or omissions. All rights reserved. All the views expressedin this book are those of the author. The questions and suggested answers are the responsibility of theauthor. That’s all the legal stuff! We hope you enjoy using the book and don’t forget - if you like the book whynot send Mahobe a donation through PayPal.
Published in 2011 by:
P.O. Box 109-760Newmarket, AucklandNew Zealand
© Mahobe Resources (NZ) Ltd
The New Zealand Centre of MathematicsThe New Zealand Centre of
Mathematics www.mathscentre.co.nz
2 MIGHTY MATH .© Mahobe Resources (NZ) Ltd
ISBN
9781877489198
THE NATIONAL CURRICULUMThe pages in this book are designed to support the New Zealand Mathematics Curriculum,the New Zealand Mathematics Standards and the New Zealand Numeracy Programme.
After year at school students should be achieving at Level 1 of the New ZealandCurriculum. Year 1 of the Mathematics Curriculum is focused mainly on number and themanipulation of small numbers. Students should be able to count to 10 and add, subtractand multiply numbers with totals up to 10. They should also be able to recognise shapes andcompare lengths areas and capacities. Finally, they should be able to follow or givedirections forward, back, turn left and turn right.
For a complete learning sequence then parents and teachers should purchase. There are 4 books in this RED series
and the books start with basic counting and writing numbers, simple addition through to morestructured arithmetic. It is available through Mahobe.
The titles in the are:Let’s Learn to CountLet’s Use NumbersAddition and Subtraction are EasyMultiplication and Division are Fun.
After years at school students will still be achieving at Level 1 however they should beable to count and manipulate numbers to 100. They should be able to continue numberpatterns based on ones, twos, fives and tens. They should also be able to compare differentmeasures, complete simple transformations and represent simple statistical data incategories.
ONE ,
MightyMaths Beginner Mathematician for 4-6 year olds
series
TWO
For a complete learning sequence for Year 2 then parents and teachers should purchase. There are 3 books in this
YELLOW series. The books follow a structured learning sequence that starts by comparingsmaller and larger numbers, teaches about bigger numbers up to 100 and focuses on the 1to 5 times tables as well as the general arithmetic operations of addition and subtraction upto 100. After completing this series, students will have increased confidence in dealing withnumbers.
The titles in the are:Let’s Look at NumbersLet’s Step up to Bigger NumbersLet’s Find all the Right Numbers
For older children look out for the:
series (for 6-8 year olds),series (for 7-9 year olds),series (for 8 - 10) year olds
and Mighty Math for 9-12 year olds.
Mighty Maths Developing Mathematician for 5-7 year olds
series
You can be confident that you are covering all the right work when you use Mighty Math.
RED Beginner Mathematician
YELLOW Developing Mathematician
BLUE Advancing MathematicianGREEN Maturing MathematicianORANGE Master Mathematician
MIGHTY MATH © Mahobe Resources (NZ) Ltd. 3
ISBN
9781877489198
SHAPE SEQUENCESContinue the patterns by drawing the shapes that come next.
Help Chopper count the carrots in each.
If Chopper continued the carrot squares, how manycarrots would he need for the next set of squares?
4 MIGHTY MATH .© Mahobe Resources (NZ) Ltd
ISBN
9781877489198
FIVE PIN BOWLINGWhich pins must Dennis knock over to score exactly 6?Write the numbers on the pins.
5MIGHTY MATH © Mahobe Resources (NZ) Ltd.
ISBN
9781877489198
FIVE PIN BOWLINGDennis is preparing for another bowl.
Find different ways: a. to score 7b. to score 8
Write the numbers on the pins.
6 MIGHTY MATH .© Mahobe Resources (NZ) Ltd
ISBN
9781877489198
SNOW BALL PAIRS
Choose a pair of snow balls:
Add the numbers on each snowball and write the answer.
MIGHTY MATH © Mahobe Resources (NZ) Ltd.
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9781877489198
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SNOW BALL subtractions
Choose a pair of snow balls:
Subtract the numbers on the snowballs and write the answer.
MIGHTY MATH .© Mahobe Resources (NZ) Ltd
ISBN
9781877489198
8
B.J throws 3 balls. Each ball goes into a bucket.
Sometimes more than one ball goesinto the same bucket.
What is the highest score B.J. can get?
Find three ways to score 6.
Find three ways to score 9.
1.
2.
3.
BALLS IN A BUCKET
MIGHTY MATH © Mahobe Resources (NZ) Ltd.
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MIGHTY MATH .© Mahobe Resources (NZ) Ltd
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3 BALLS IN A BUCKET
zz
z z
All this activity leaves B.J. a little tired.
HIDDEN SNAKESColour the numbers in order from 1 to 16. The first one isdone for you. You will end up with 5 more snakes.
MIGHTY MATH © Mahobe Resources (NZ) Ltd.
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9781877489198
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CLIMB THE BEANSTALKThere are six ways of climbing the beanstalk.The first is done for you.
Find the other five ways of climbing the beanstalk.
right, left, right, left
MIGHTY MATH .© Mahobe Resources (NZ) Ltd
ISBN
9781877489198
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UNLOCK THE CODESolve the number sequences.
Fill in the missing numbers.
Dennis thinks that knowingnumbers is the key to successin mathematics.
MIGHTY MATH © Mahobe Resources (NZ) Ltd.
ISBN
9781877489198
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Rule = ............................................
UNLOCK THE CODESolve the number sequences.
Fill in the missing numbers.Write the rule beside each.
Rule = ............................................
Rule = ............................................
Rule = ............................................
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COUNTING ON STATISTICS
Can you help Dennis group all these shapes into some sort oforder? He has finished the squares and started the triangles,circles, rectangles, squiggles and stars.
Which shape does he have the most of?
MIGHTY MATH © Mahobe Resources (NZ) Ltd.
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9781877489198
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Alicia has 4 piles of gold bars.
She has to make all the piles the same height.Alicia can make 4 equal piles in two moves.How does she do it?
Below are 9 gold bars. If B.J., Dennis and Alicia each takethe same number of gold bars, how many would each take?
She can move one or more bars at a time.
THE GOLD BAR CHALLENGE
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All the bars should add up to 10.Write the value of each the missing shaded bars.
FIND THE MISSING VALUES
MIGHTY MATH © Mahobe Resources (NZ) Ltd.
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Use three cards. How many ways can you arrange 3 cards tomake a sum of 10?
tEN
+
+
+
+
+
+
+
+
=
=
=
=
MIGHTY MATH .© Mahobe Resources (NZ) Ltd
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tWELVEColour three cards in each row that sum to equal 12.
MIGHTY MATH © Mahobe Resources (NZ) Ltd.
ISBN
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Each of the kiwi eggs below are numbered 1 to 5.
Arrange the eggs so thateach line adds up to 10.
R
Finally, rearrange the eggs sothat each line adds up to 8.
earrange the eggs sothat each line adds up to 9.
tHE KIWI EGG CHALLENGE
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darts
You throw 3 darts and each sticks to a number.How many ways can make a sum of 10?
+ + =
+ + =
+ + =
+ + =
+ + =
+ + =
+ + =
+ + =
+ + =
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1
2
3 4 5
6
7
8
MATHS CROSSWORD
Across Down
1. 1.
3. 2.
5. 4.
6. 5.
7. 6.
8. 7.
+ -
+
-+
+
+ +
Write the answers to this puzzle in words.
+-
+ +
-+ -
+ -
+ -
+ -
+ +MIGHTY MATH .© Mahobe Resources (NZ) Ltd
ISBN
9781877489198
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SUM UP
Dennis has four cards.
Make these totals from the cards.
Only use each card once within each sum.
=
=
=
=
=
=
=
=
=
=
MIGHTY MATH © Mahobe Resources (NZ) Ltd.
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Make each line add up to 16.
Make each lineadd up to 18.
Make each line add up to 20.
NUMBER LINES
=
=
=
MIGHTY MATH .© Mahobe Resources (NZ) Ltd
ISBN
9781877489198
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CARD SUMS
Make up some cards numbered 0 to 9.
Pick three cards that sum to a total of 12.There are 10 different ways.
Pick four cards that have a sum of 12.There are 9 different ways.
1. 6.
2. 7.
3. 8.
4. 9.
5. 10.
1. 6.
2. 7.
3. 8.
4. 9.
5.
MIGHTY MATH © Mahobe Resources (NZ) Ltd.
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Dennis has three buckets below.Inside each bucket is an odd number of balls.There are 19 balls in total.
Write the possible number of balls in each bucket.
BUCKETS OF BALLS
Bucket 1 Bucket 2 Bucket 3+ + =
MIGHTY MATH .© Mahobe Resources (NZ) Ltd
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CARD SUMS
Dennis has four cards.The cards are numbered:1, 2, 5 and 10.
Make the totals below usingup to 3 of the numbers.You can useany of the numbers more than once.
=
=
=
=
=
=
=
=
=
=
=
=
=
=
Is it possible to make thesesums using any 3 of thenumbers above?
MIGHTY MATH © Mahobe Resources (NZ) Ltd.
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TASK FORCETask 1:
Task 2:
Task 3:
Task 4:
Task 5:
Write down 5 odd numbers less than 20.Three of the numbers must have 2 digits and two ofthe numbers must have only 1 digit.
Write the numbers in order from least to greatest.
Write down 5 numbers less than 30.Write beside each whether they are odd or even.
Write a number between 25 and 31.
Is the number closer to 25 or 31?Show your answer on the number line below.
What number is half way between 25 and 31?Mark the number on the number line above.
MIGHTY MATH .© Mahobe Resources (NZ) Ltd
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MIGHTY MATH © Mahobe Resources (NZ) Ltd. 29
ISBN
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MIRRORED REFLECTIONS
Put a mirror along the red mirror line. What do you see?Colour in the mirror image of the top grid in each squarein the bottom grid to find the hidden message.
mirro
rlin
e
¤ ‡¤ o‡ §§
Which coloured cubes will go onto spaces 13 and 14?
mirror line
UNITS
TENS
UNITS UNITS UNITS UNITS
UNITS UNITS UNITS UNITS UNITS
TENS TENS TENS TENS
TENS TENS TENS TENS TENS
HUNDREDS HUNDREDS HUNDREDS HUNDREDS HUNDREDS
HUNDREDS HUNDREDS HUNDREDS HUNDREDS HUNDREDS
ISBN
9781877489198
MIGHTY MATH .© Mahobe Resources (NZ) Ltd30
digit cards1.2.3.
one4.
5..
Players take turns to pick one hundreds card, one tenscard and one units card. They can then cross out each ofthose digits on any stone.If a player crosses out the last digit on a stone then theycan claim that stone by colouring it in their colour.When all stones are coloured the winner is the playerwith the most stones
Each player chooses a coloured pencil.Shuffle the hundreds cards, tens cards and unit cards.
MIGHTY MATH © Mahobe Resources (NZ) Ltd. 31
ISBN
9781877489198
CHRISTMAS DELIGHTSDennis has 16 Christmas trees to decorate.He has put 4 stars on each tree.He can colour the stars RED or BLUE.Show all the different ways that Dennis can colour the fourstars. He has coloured the first tree all red.
ISBN
9781877489198
MIGHTY MATH .© Mahobe Resources (NZ) Ltd32
SHAPE SEQUENCES
4 7 10
13
Page 4 Page 5
FIVE PIN BOWLINGWhich pins must Dennis knock over to score exactly 6?Write the numbers on the pins.
FIVE PIN BOWLING
Write the numbers on the pins.
Page 6 Page 7
SNOW BALL PAIRS
MIGHTY MATH © Mahobe Resources (NZ) Ltd. 33
ISBN
9781877489198
Page 8 Page 9
Page 10 Page 11
SNOW BALL subtractions BALLS IN A BUCKET
1 ball in 4, 2 bags in 1
3 balls in 4
1 ball in 1, 1 ball in 2, 1 ball in 3
3 balls in 2
1 ball in 1, 2 balls in 4
1 ball in 2, 1 ball in 3, 1 ball in 4
3 balls in 3
3 BALLS IN A BUCKET
zz
z z
All this activity leaves B.J. a little tired.
3 balls in 1
2 balls in 11 ball in 2
2 balls in 11 ball in 3
1 ball in 12 balls in 2
1 ball in 12 balls in 3
2 balls in 21 balls in 3
1 ball in 11 ball in 2, 1 ball in 4
2 balls in 21 ball in 4
1 ball in 22 balls in 3
1 ball in 11 ball in 3, 1 in 4
1 ball in 22 balls in 4
HIDDEN SNAKESColour the numbers in order from 1 to 16. The first one isdone for you. You will end up with 5 more snakes.
ISBN
9781877489198
MIGHTY MATH .© Mahobe Resources (NZ) Ltd34
Page 12 Page 13
Page 14 Page 15
CLIMB THE BEANSTALK UNLOCK THE CODE
Dennis thinks that knowingnumbers is the key to successin mathematics.
Rule = ............................................
UNLOCK THE CODE
Rule = ............................................
Rule = ............................................
Rule = ............................................
add 2
subtract 25
subtract 20
multiply by 2
COUNTING ON STATISTICS
circles
MIGHTY MATH © Mahobe Resources (NZ) Ltd. 35
ISBN
9781877489198
Page 16 Page 17
Page 18 Page 19
THE GOLD BAR CHALLENGE
3 gold bars each
FIND THE MISSING VALUES
tEN
+
+
+
+
+
+
+
+
=
=
=
=
tWELVEColour three cards in each row that sum to equal 12
ISBN
9781877489198
MIGHTY MATH .© Mahobe Resources (NZ) Ltd36
Page 20 Page 21
Page 22 Page 23
tHE KIWI EGG CHALLENGE darts
+ + =
+ + =
+ + =
+ + =
+ + =
+ + =
+ + =
+ + =
+ + =
o
NE L E V E
I
G
H
T W O
N
ET W L V E
S
E
E
N
I X
I N E
F
I
V
U R
T
H
E
E
1
2
3 4 5
6
7
8
MATHS CROSSWORD
+ -
+
-+
+
+ +
Write the answers to this puzzle in words.
+-
+ +
-+ -
+ -
+ -
+ -
E
N
+ +
SUM UP
=
=
=
=
=
=
=
=
=
=
2+ 3
3 + 4
2 + 3 + 4
2 + 8
3 + 8
4 + 8
2 + 3 + 8
2 + 4 + 8
3 + 4 + 8
2 + 4
MIGHTY MATH © Mahobe Resources (NZ) Ltd. 37
ISBN
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Page 24 Page 25
Page 26 Page 27
NUMBER LINES
=
=
=
CARD SUMS
BUCKETS OF BALLS
Bucket 1 Bucket 2 Bucket 3
1 1
1 3
1 5
1 7
1 9
3 3
3 5
17
15
13
11
9
9
7
9
13
11
3 7
5 5
5 7
+ + =
CARD SUMS
=
=
=
=
=
=
=
=
=
=
1 + 1 + 1
2 + 2 + 1
2 + 2 + 2
5 + 1 + 1
5 + 2 + 1
5 + 2 + 2
5 + 5 + 1
5 + 5 + 2
10 + 2 + 1
2 + 1 + 1
=
=
=
=
10 + 2 + 2
10 + 5 + 1
10 + 5 + 2
5 + 5 + 5
Is it possible to make thesesums using any 3 of thenumbers above?
no - not possible
ISBN
9781877489198
MIGHTY MATH .© Mahobe Resources (NZ) Ltd38
Page 28 Page 29
TASK FORCE
28
halfhalf
Page 32
CHRISTMAS DELIGHTS
MAHOBE
mathscentreThe NZ Centre of Mathematics
Free instructional videos
Free maths workbooks
Free worksheets
Free practice exams
Free interactive maths
MIGHTY MATH © Mahobe Resources (NZ) Ltd. 39
ISBN
9781877489198
Exa
mpl
eAns
wer
sOnl
y
even evenodd odd odd
MIGHTY MATH © Mahobe Resources (NZ) Ltd. 29
ISBN
9781877489198
MIRRORED REFLECTIONS
Put a mirror along the red mirror line. What do you see?Colour in the mirror image of the top grid in each squarein the bottom grid to find the hidden message.
mirro
rlin
e
¤ ‡¤ o‡ §§
Which coloured cubes will go onto spaces 13 and 14?
mirror line
¤ §
MightY Math9781877489198
9 7 8 1 8 7 7 4 8 9 1 9 8