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Using a bar model to show the relationship between ingredients of a smoothie - and then asking the question what if we need more - of the same taste? x 3

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James and John share oranges in the ratio 1:3. If James gets 5 oranges how many did John get?

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There are 4498 ping pong balls in one bulk bag. Bag A holds 1197. Bag B hold 586 more than Bag A. How many are in Bag C? 

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There are 4498 ping pong balls in one bulk bag. Bag A holds 1197. Bag B hold 586 more than Bag A. How many are in Bag C?
I did this as a warm up exercise for Y5 level students. They used their multiplication knowledge, but they could use the bar model to visualise and if not told how many in Bag A, it may have been even more beneficial.

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A watermelons is 89% water with the remaining as fibre. Fibre needs to be extracted to make Erica’s watermelon sweets. She adds sugar 13:1 to watermelon fibre to make the sweets. She’d like to make a 15 kg batch of sweets. In kg, how much sugar and watermelon does she need?

15000g/14 parts = 1,071.429

Sugar = 1,071.429*13 = 13,928.57

Fibre = 1,071.429*1

Fibre required = 11% , water 89% = 8668.831, Total = 9,740.26

Sugar = 13.9kg

Water melon = 9.7kg

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As an example, my first box (in red) is 100 x 6, the second box (in yellow-orange) is 20 x 6 and the third box (in green) is 3 x 6.

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Not exactly bar model but close, which I developed to help decipher word problems

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Not exactly bar model but close, which I developed to help decipher word problems

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Peter' father is 30 years older than him and his mother is 5 years younger than his father. Find out the current age of Peter knowing that the sum of the ages of his parents is 7 times the age of Peter.

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Example 1. A teacher had 57 packages of construction paper. She wanted to split it equally into 3 piles. How much should be in each pile?

Example 2.     Twenty-five tables were set up in the Commons. If there are to be eight chairs at each table, how many chairs will be needed?

Both examples worked out below.

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Algebraic problem

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Using the Bar Model

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Bar model example

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Children want to grow plants in a single row in the vegetable patch which is 90cm long and 30cm wide. Class C have already planted their lettuce which needed 10cm more length than Class A's carrots.  Class B needed the least space for their tomatoes and only needed half of the length of Class C. Class A needed 5cm more than Class B to plant their carrots plants.  The teacher has told the children they will need 65cm length for all three different plants for the 3 classes.   Class B want to plant 2 tomato plants. Do they have enough space for 2 tomato plants?

The Bar Model could be used to show the total length  65cm required to plant all 3 different plants.

The sections in the BM could be made of in terms of the unit length required for
a lettuce plant

Draw the sections in BM terms of length required for a lettuce plant.

Class C length for lettuce = (L )

Class B tomato = (L )/2

Class A carrot = Tomato +5cm = (L)/2 +5cm

Start with drawing sections in the Bar Model  total length 65cm in terms of units of L.

65= L + (L)/2 + (L)/2 +5

65-5= L + 2X (L)/2   The children would have the opportunity to see that 2 halves make a whole

65-5= L+L      60=2xL    60/2=L        L=30cm

Tomato plant needs (L)/2= 30/2=15.

Looking at the total in Bar Model = 65

If one more tomato plant were added it would need 65+15cm 65+15=80cm

As the length available for the vegetable patch is 90cm, Class B could plant 2 tomato plants.

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Ratio and proportion

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Using a bar model to solve wordy problems.

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Max, Ben and Sarah  have 30 sweets between them. Sarah has 2 more than Max and 2 less than Ben. How many sweets do they each have?

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problem solving early days

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Problem solving, early days.

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Bar Model Method

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RATIO PROBLEM

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Ratio

Henry and Susan are doing a part time job in babysitting, each week they receive £50, they share the money in the ratio 2:3, how much more money does Susan get than Henry?

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The content on this word problem is Numbers and Number Sense of Grade 5 Mathematics Curriculum Guide. It is all about  finding the percentage in a given problem. This topic is on the Third quarter.

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Fidel Quispe

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Tom and Jerry are collecting stacks of origami paper for their art project. Tom has 4 more stacks than Jerry, and each stack has 10 sheets of paper. Together, they have 220 sheets of origami paper.

However, Tom gave away 13 sheets to another friend. How many sheets of origami paper does Tom have now?

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When a grizzly bear hibernates, its heart rate drops to 10 beats per minute, which is 20% of its normal value.

What is a grizzly bear's normal heart rate when not hibernating?

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V Summerfield

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Word problem on Ratio

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鸡兔同笼问题也可以用这种方法解决

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鸡兔同笼问题也可以用这种方法解决

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Vanessa Booker

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Ratios

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pizza sharing

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Week 3

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Word problem
Use Bar Model to solve the problem