Word Problem Wednesday – Cows and Sheep

Summer’s here, but you’re missing your math? Don’t despair – we’ve got you covered. Check the site each week for one whopper of a word problem that’s sure to challenge!


This week’s problem comes from an oldie, but goodie: Mathematics Topical Worksheets 6A by Lawrence Loh, published in 2001 by SNP Education Pte Ltd.

There are 3/5 as many cows as sheep on a farm. If there are 240 cows and sheep altogether, how many more sheep than cows are there?

Submit your solutions and we’ll post all interesting strategies next week.


Last week’s problem and solution:

Rae bought 100 oranges and 46 apples. After she used an equal number of oranges and apples for making fruit juice. The ratio of her remaining oranges to apples became 5:2. Find the total number of oranges and apples she used.

Whew! How did you do?

Here’s a solution sent in by reader Shirley Davis:

 

 

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Throwback Thursday – Personal Whiteboards

Over the summer, we thought it would be fun to run some of the most popular posts from the past. When I re-read a post from the past I always take away something different because I am in a different place with my own experience. Perhaps you are as well!


Personal Whiteboards

Originally published 3/25/2009

whitebds

In the post about Number Strings, I referred to a student’s “personal whiteboard”.  I use whiteboards throughout the day as a way of informally assessing students.

Instead of a store bought whiteboard, I prefer to provide students with a customized version.

  1. Start with a glossy page protector, a box of which can be purchased inexpensively on eBay or at Sam’s Club or Costco.
  2. Insert a brightly colored sheet of card stock. Cardstock makes the whiteboard a little sturdier and by using color on one side, I can instantly tell when the entire group of students is ready.
  3. Add appropriate pages. In the first grade, I might have a pre-made number bond page ready to go. When I’m teaching a lesson on adding or subtracting, I’ll insert a place value chart.

By keeping a classroom set of these on the shelf with the student textbooks, they would last an entire school year. Here are some printables to get you started:

You can find information on Alexandria Jones’ Pharaoh’s Treasure in the picture at Let’s Play Math.

These are also great for games and learning centers…

Sudoku, Kenken, Contig or

The Hex game:

white-board

Or any of the international logic games on the handouts page of this site.

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Word Problem Wednesday – Rae’s Oranges and Apples

Summer’s here, but you’re missing your math? Don’t despair – we’ve got you covered. Check the site each week for one whopper of a word problem that’s sure to challenge!


This week’s problem comes from Fan-Math i-EXCEL Heuristic and Model Approach Primary 5 by Li Fanglan, published in 2008 by FAN Learning Publications.

Rae bought 100 oranges and 46 apples. After she used an equal number of oranges and apples for making fruit juice. The ratio of her remaining oranges to apples became 5:2. Find the total number of oranges and apples she used.

 

 

Submit your solutions and we’ll post all interesting strategies next week.


Last week’s problem and solution:

117 children took part in an art competition. 2/7 the number of girls is equal to 1/3 the number of boys. How many girls took part in the art competition?

How did you do?

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Throwback Thursday: If I had a million dollars, ok $1000…

Over the summer, We thought it would be fun to run some of the most popular posts from the past. When I re-read a post from the past I always take away something different because I am in a different place with my own experience. Perhaps you are as well!

I updated the cost of the materials to current 2017 prices (in bold) for the US Edition of Primary Mathematics, which are higher but include shipping on orders over $50. That puts us over the original $1000 threshold, but not bad…

For students that struggle, I would now recommend a recently published series: Visible Thinking in Mathematics with A & B titles at most grade levels that run from $12.80 to $14 each.


If I had a million dollars, ok $1000…

Originally published 6/20/2013

Recently, I received a question from an excited teacher who had just received a grant to spend on her classroom: “If you had a $1000 dollar grant and taught second grade, what would be the most important pieces of Singapore Math you’d buy?”

If I had a million dollars, ok $1000… here are two scenarios.

#1 Using the curriculum in 2nd grade as your main curriculum

  1. A classroom set of the 1B & 2A textbooks @ $9.00 each, so if you had 24 students + 1 for teacher: 25 x $18 = $450     ($735)
  2. Possibly a set of the 2B textbooks: 25 x $9 = $225     ($367.50)
  3. A Teacher Manual for 1B, 2A & 2B: 3 x $21 = $63     ($88.50)
  4. A workbook for reference and problem ideas for 1B, 2A & 2B = 3 x $9 = $27     ($44.10)
  5. Challenging Word problems level 1 & 2: 2 x $8.50 = $17.00     ($29.40)
  6. Intensive Practice: 1B, 2A & 2B: 3 x $8.80 = $26.40     ($38.40)
  7. Process Skills in Problem Solving L2: $10.70     ($12.80) 
  8. Math Sprints Masters, Levels 1 & 2: 2 x $31 =$62     ($68)
  9. Elementary Mathematics for Teachers by Parker & Baldridge: $29     ($33)
  10. Place Value Strips: $12.50     ( $13.95)

That’s $625.80 (Currently: $1430.65 including shipping)

I’d spend the rest on linking cubes, base-10 blocks, place value disks or other manipulatives and containers to keep them organized.

Keep in mind that for Number Disks/Place Value Disks you’ll need about 20 each of ones, tens and hundreds disks per student or pair of students sharing. Many companies sell these:

Place Value Disks, 100 Ones DisksPlace Value Disks, 100 Ones Disks

Place Value Disks - 100 Tens DisksPlace Value Disks – 100 Tens Disks

Place Value Disks (1-3): HundredsPlace Value Disks – 100 Hundreds Disks

#2 Using Singapore Math to Supplement another core curriculum:

  1. Start a library at your school with one set of the textbooks and workbooks for every grade level at the school as reference (4 per grade level)  x $9.00 each book – k-6 would be $36 x 7, k-5 would be $36 x 6    ($14.70 x 4 per grade level for grades 1 – 4  and $15 x 4 for grades 5 and 6)
  2. A Teacher Manual for each level:  $21 each book, 2 books per grade level = $42 per grade level     ($24.50 – $31.50 each)
  3. Challenging Word problems are $11 each and there are 6 levels (1-6)    ($14.80 and $15.20)
  4. Process Skills in Problem Solving vary in cost from $10.20 to $12.80 – levels 1-6   ($12.80 – $14.80)
  5. SpeedMaths Level 1 – 4: $8.20 each (no higher than level 4!) ($12.80)
  6. Math Sprints Masters, Levels 1 -5: 5 x $31    ($34)
  7. Elementary Mathematics for Teachers by Parker & Baldridge: $29 several copies for staff ($33)
  8. The Singapore Model Method for Learning Mathematics: $29 for grades 5 & up ($32)
  9. Teaching of Whole Numbers by Dr Yeap Ban Har, Singapore’s renowned math educator, $30.50     ($32)
  10. Bar Modeling A Problem-solving Tool also by by Dr Yeap Ban Har, for lower elementary. $30.50     ($32)
  11. Place Value Disks: get plenty of ones, tens and hundreds. $15.95 per 100 disks     ($7.95 per 100 disks)
  12. Place Value Strips: $12.50 and other manipulatives (if you don’t already have them on campus).    ($13.95)

What did I miss? Are there any books or tools that you consider “must-haves” in your Singapore Math classroom?

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Word Problem Wednesday – Art Competition

Summer’s here, but you’re missing your math? Don’t despair – we’ve got you covered. Check the site each week for one whopper of a word problem that’s sure to challenge!


This week’s problem comes from Classroom Maths Problem Sums 4 by Casco Publications Pte Ltd

117 children took part in an art competition. 2/7 the number of girls is equal to 1/3 the number of boys. How many girls took part in the art competition?

Submit your solutions and we’ll post all interesting strategies next week.


Last week’s problem and solution:

3 pears and 4 oranges cost $3.80. If 1 pear and 1 orange together cost $1.10, find the cost of 1 pear.

How did you do?

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