New
New
Year 6

Represent the structure of a problem with two unknowns in context

I can represent the structure of a problem with two unknowns by drawing a model.

New
New
Year 6

Represent the structure of a problem with two unknowns in context

I can represent the structure of a problem with two unknowns by drawing a model.

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Lesson details

Key learning points

  1. Problems can be represented using bar models.
  2. Problems can be solved using trial and improvement.
  3. Different strategies work for different problems.

Keywords

  • Systematically - Working systematically means to solve a problem in an ordered and methodical way to ensure all outcomes are recorded.

  • Efficient - To solve something efficiently means to solve a problem quickly whilst also maintaining accuracy.

Common misconception

Pupils opt for a trial and improvement approach, without working systematically either.

Encourage pupils to identify the structure of the problem and represent the maths in a way that makes sense for them. You can then take their representations of the maths and refine them so they are more efficient.

Allow pupils time to explore this problem for themselves and to represent the problem how they like. In the first instance, the focus is on exploring the different strategies and what is positive/requires improvement about each one, considering efficiency.
Teacher tip

Equipment

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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6 Questions

Q1.
Two rods are equivalent to the yellow rod. One of them is red. What is the missing rod?
An image in a quiz
A- White
B- Red
Correct answer: C- Light green
D- Pink
Q2.
Two rods are equivalent to the yellow. One of them is white. What is the missing rod?
An image in a quiz
A- White
B- Red
C- Light green
Correct answer: D- Pink
Q3.
Two rods are equivalent to the black rod. What could the missing rods be?
An image in a quiz
A- Red and pink
B- Light green and red
Correct answer: C- Pink and light green
D- Pink and pink
Q4.
Two rods are equivalent to the brown rod. What could the missing rods be?
An image in a quiz
A- Dark green and light green
Correct answer: B- Red and dark green
Correct answer: C- White and black
Correct answer: D- Yellow and light green
Q5.
Two rods are equivalent to the orange rod. There is a difference of red between the rods. What rods could they be?
An image in a quiz
A- Dark green and light green
B- Yellow and dark green
Correct answer: C- Dark green and pink
D- Yellow and black
Q6.
Two rods are equivalent to the yellow. One rod is four times the size of the other rod. What rods could they be?
An image in a quiz
Red and pink
Red and white
Correct answer: White and pink
White and light green

6 Questions

Q1.
An efficient strategy is a when a problem can be solved:
quickly
accurately
Correct answer: quickly and accurately
Q2.
The bar model shows two values a and b. What is the value of a?
An image in a quiz
Correct Answer: 45
Q3.
The bar model shows two values c and d. What is the value of c?
An image in a quiz
Correct Answer: 55
Q4.
Calculate the size of e in the bar model.
An image in a quiz
Correct Answer: 46
Q5.
A supermarket sells 90 burgers and sausages altogether. They sell 40 more sausages than burgers. How many sausages do they sell?
50
55
60
Correct answer: 65
Q6.
Andeep is travelling to see his relatives. The whole journey is 182 km. He travels by train for 36 km further than he does by bus. How far does he travel by train altogether? km
Correct Answer: 109

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