Tag Archives: strategies for addition

Math and Literature Resource for Grades K-3

cover read a storyHello all!

My colleague Sandra Ball and I have completed another resource for primary teachers!

Read A Story: Explore The Math promotes the teaching of important math concepts through the context of great children’s books…  The lessons span K-3 and some are even appropriate for grades 3/4 classrooms.  Lessons involving number sense and operations, data management, measurement and more are included in this 65 page resource. Scan through the list of titles and corresponding math concepts to sort out which children’s books would be a best fit for you and your students.  The complete set of ISBN numbers for each of the stories is included so you can easily share ordering information with your teacher librarian…!

To download, please visit my online store (https://mindfull.ecwid.com) and click on the FREE DOWNLOADS icon.

Enjoy!

Carole

 

Teaching Addition and Subtraction in Grades 2 & 3

Happy New Year, Everyone!

2and 3 cover

I am pleased to announce the release of my latest resource,  Sums and Differences – Teaching Addition and Subtraction in Grades 2&3.  This teacher resource is matched to the WNCP curriculum and addresses the operations of addition and subtraction  to 100 for grade 2 and to 100o for grade 3.  Designed to be used by teachers of combined grades – or by anyone who has a range of learners in their classrooms – these lesson sequences focus on the big math ideas of adding and subtracting!  Each lesson asks students to engage with place value in concrete, pictorial and abstract ways, while practicing and developing fluency with the operations.  Word problems, games and written practice are included to ensure students hone their skills and deepen their understanding of addition and subtraction with bigger numbers.

The resource includes all the line masters, game boards, written practice and teaching materials required to support your students in becoming proficient with addition and subtraction in ways that are consistent with the curriculum and which promote number sense.

This 220 page resource is just $40 plus shipping. Click here to order!

PS – The companion resource for grades 1&2 is also available for purchase. Read about it by clicking here.

PPS – My sincere apologies.  I have discovered 2 errors in the book. One comes on page 167, in the game called “Three in a Line – Subtracting hundreds, tens and ones”.  The wheel at the top of the page and the differences below don’t match. 😦  I’ve attached the replacement game here for you.

Three in a line HTO game NEW

Likewise, I’ve had some feedback about the “I have…, Who has…?” game in the early pages of the resource.  I’ve re-created it and uploaded the replacement here.

“I have, who has” game NEW

Thanks for your patience and understanding…

Carole

 

Teaching Addition and Subtraction in Grades 1&2

Sums & DifferencesHello and happy August!

I have been busy writing this summer – putting together a volume devoted to teaching the operations in primary. And so, I am pleased to announce the publication of my latest teacher resource: Sums and Differences: Teaching Addition and Subtraction in Grades 1&2.

This resource includes a series of lesson sequences – open tasks, games, written practice, word problems and assessment support – for teaching the operations in a developmentally appropriate way. Beginning with place value explorations, these lessons increase in complexity while providing support for students across the grades.  The lessons make explicit connections between concrete, pictorial and abstract representations of the math to ensure the operations are truly mastered.

The content in the book covers the grade 1 and 2 curricula and presents them in such a way that teachers of combined grades can use the lessons to work with their classes as a whole.

To order a copy online, click here.

All the best!

Carole

Missing Part Cards – Laying the Foundation for Subtraction

Hello all!

I had the pleasure of working with K and K/1 teachers in Mission on Monday – a great group of teachers who somehow managed to summon up the energy to attend an after-school workshop with me this week!!  Together we looked at ways to support their young students in subitizing and partitioning.  Sounds complex, doesn’t it?  🙂  Truth is, children in early primary need opportunities to see numbers at a glance without counting (subtizing) and to recognize that we can break up sets and put them back together again and the set size is the same (partitioning). These concepts and skills are critically important for young children to develop – they underpin the ability to add and subtract, to multiply and divide…

Engaging young children in conversations about how they “see” sets of number is a great way to start. Present an arrangement of 5-8 objects in your daily opening activities, and ask children what they see and how they see it.  Talk about the parts and label these smaller sets with numerals to make sense of the digits. Celebrate the fact that, no matter how you slice it, 7 is still 7!

Over time, you might want to make connections to the operations by using the attached “Missing Part Cards”. They include a numeral to indicate the set size, and then dots in familiar arrangements in the form of an equation.  The important part of course is to cover up just one of the sets of dots before showing the missing part cards to the children!  🙂 A 6.5 cm x 6.5 cm square of thick paper (bond paper or construction paper – or even sticky notes doubled up) taped across the top creates a flap that will hide one of the parts from view, as indicated below.

Show the card and read it aloud with the children:

“Seven is the same as 4 and…?”

It’s a good idea to say “is the same as” and “and” for “equals” and “plus” here.  “Equals” and “plus” are the names for the symbols and are less meaningful to learners than “is the same as” and “and” – which are words that describe what the symbols mean…

Have students say what they think is missing, and why they think so.  You’ll be surprised at the strategies students will use to find the missing part!  Older learners will benefit from seeing the equation written with a box to indicate the missing part – that is,

This is a great way to introduce algebraic thinking in a visual way!!

Feel free to download the Missing Part Cards for 5, Missing Part Cards for 6 and Missing Part Cards for 7 here.  They are best printed in colour of course, and will hold up best if printed on card stock or bond paper. Credit for the idea goes to John Van de Walle, who first showed them to me years ago.  A smart man, our John – and one I miss terribly.

Enjoy!

Carole

PS – If you’re looking for more ideas like this for K and grade 1, consider purchasing a copy of my book: Number Sense – A Combined Grades Resource for K, K/1 and Grade 1 Math Classrooms.  It’s set up to support teachers in addressing the number PLOs in mindful ways while keeping their Kindergarten and Grade 1 students together. Games, tasks, problems and meaningful practice opportunities are included in English and in French. To order online, click here.

 

Great games for developing fluency

Hello all!  I wanted to upload a couple of my new favourite games for developing fluency with the facts.

Once a strategy for recalling the facts has been learned, these games will help students to apply those strategies more fluently.  It takes time and practice to master the facts – practice with the strategies and then practice using the strategies to recall the facts themselves…  We all know the facts are critical to success with math.  How we master them matters too.

So, first is the game from BEAM called Add Nines.  It depends on knowing the strategy of “compensation”.  Compensation is an algebraic idea, in which we “take from one number and give to the other”.  This strategy works because in every case we make a ten (or another round number).

Think of it like this:

If we add 9 and 7, then we can take 1 from the 7 and give it to the nine, to make 10 and 6.  And ten and 6 is easy… 16!

This game invites students to practice “taking one from one addend and giving it to the 9 to make ten and some more…”  While this SOUNDS tricky, if you imagine the following images of 9 and 7, it’s pretty evident:


The next game is for mastering the 2 x facts and the 4 x facts.  It’s my own (adapted from another BEAM game) but with numbers accessible to students learning these facts in 4th and 5th grade.  It’s called Double or Double-Double.  The goal of the game is to practice the strategy of doubling (multiplying by 2) or “double-doubling” (multiplying by four).

Think of it this way.  Double 6 is 12.  Double 12 is 24.  So that means that double-double 6 is 24… Mathematically speaking, it’s the same as 2 x (2 x6) or 4 x 6.  The idea of “double-doubling” works for all numbers, too.  I like to call it the Tim Horton’s strategy.  :o)

I hope these games prove fun for you and your children…  More than that, I hope they will help your kids to truly master these important facts!

Enjoy!

Carole

Penguins everywhere!

Today I had a lovely time at Hillcrest Elementary working with some awesome kids in grades 1, 2 and 3.  Our mathematical tasks grew out of the book “365 Penguins” by Jean-Luc Fromental (which is, of course, available in French as well!). Together we added flocks of penguins and created arrangements of penguins, exploring mental math strategies as well as multiplication and division!

The grade 1&2 penguin groupings are here as arelarger penguins for modelling “groups of” thinking.  Help yourself, and do explore the book as well.  There’s great mathematical potential in it!  :o)

Carole

Bridging through 10 and 20 – An online game!

A while back I came across a fun game – Bridging Shuttle –  that is aimed at students in grades 1-3.  The game is intended to show, through the use of a space shuttle’s flight path, how mathematicians “bridge” through friendly numbers like 10, 20, 50 and 100 while adding.  When we talk to students about “making ten and some more” from two addends, we are “bridging” through ten.  It involves, of course, breaking numbers up into parts and putting them back together again!

The image below shows the screen for the shuttle’s “flight path” called 8 + 4.  Students begin at 8, type in the number that gets them to the next friendly number (2) and then hit the red button to proceed to the satellite.  Next they type the number to take them the rest of the way – (2 again) and press the next red button to land.

Consider modeling the action of the space shuttle with ten frames with your students to consolidate the process…  This game uses only digits and so is more abstract.

Try the harder versions of this game that bridge through 20 and 50!

Carole