If something is precise, it is exact, accurate and careful about the details.

Infinite means without an end. If something is unlimited, you could say it has an infinite number of things.

Solve problems with two unknowns with one, several and infinite solutions

Maths

Compare the structure of problems with one or two unknowns

Represent the structure of a problem with two unknowns in context

Explain why there is sometimes only one solution to a problem

Represent and solve problems with two unknowns efficiently

Use a bar model to represent spatial problems with two unknowns

Explain how to represent an equation with a bar model

Solve problems with two unknowns in a range of contexts

Explain how you know you have found all the possible solutions to a problem with two unknowns

Explain how to balance an equation with two unknowns

In this unit pupils will compare and represent the structure of problems with two unknowns using a bar model. They will systematically solve problems with two unknowns using trial and improvement. In the future unit this understanding is formalised through the use of algebraic notation. 

In the prior unit pupils explained how to balance equations with addition or subtraction expressions and used knowledge of balancing equations to solve problems. In this unit pupils will compare and represent the structure of problems with two unknowns using a bar model. They will systematically solve problems with two unknowns using trial and improvement.

In this unit pupils will compare and represent the structure of problems with two unknowns using a bar model. They will systematically solve problems with two unknowns using trial and improvement.

Solving problems with two unknowns

How many solutions do you think this problem has?

What are the possible values of c if c is an integer? 4c < 13

c and d are integer values. What is the value of c? You will need to find the value of d to help you. c = {{ }}

A baker is packing cakes into boxes to take to a shop. He has 72 cakes. A small box can hold 6 cakes and a large box can hold 8 cakes. 
Correctly match the numbers of small and large boxes. 

Look at this isosceles triangle. What are the sizes of the remaining two angles? {{ }} °

In this problem, the difference between the known addends is 15  Match the expressions correctly.

If we call the first missing addend a, match the expressions correctly.

If we call the first missing addend a, what is the second addend when a = 10?

Match the value of the first missing number with the correct value of the second missing number.

Match the value of the second missing number with the correct value of the first missing number.

If the value of the first missing number is a, what is the value of the second missing number when a = 77?

Solve problems with two unknowns with one, several and infinite solutions

Lesson outcome