Year-6---Spring---Block-3---Algebra.pdf

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Released January 2018
Year 6
Small Steps Guidance and Examples
Block 3 – Algebra
Year 6
|
Spring Term
|
Teaching Guidance
Week 5 to 6 – Number: Algebra
Overview
Small Steps
Find a rule – one step
Find a rule – two step
Use an algebraic rule
Substitution
Formulae
Word Problems
Solve simple one step equations
Solve two step equations
Find pairs of values
Enumerate possibilities
NC Objectives
Use simple formulae.
Generate and describe linear
number sequences.
Express missing number problems
algebraically.
Find pairs of numbers that satisfy an
equation with two unknowns.
Enumerate possibilities of
combinations of two variables.
Year 6
|
Spring Term
|
Teaching Guidance
Week 5 to 6 – Number: Algebra
Find a Rule – One Step
Notes and Guidance
Children begin by exploring simple one step function machines.
Explain that a one-step function is where they perform just one
operation on a particular input value.
Children understand that for each number they put into a
function there is an output.
Children should be able to write these one step functions as
simple algebraic expressions. They should understand that we
write simple functions such as
����× 4
as 4����.
Varied Fluency
1
Here is a function machine.
•
•
•
•
2
What is the output if the input is 2?
What is the output if he input is 7.2?
What number went in if the output was 22?
What is the output if the input is
����?
What about if you
put
����
in?
Complete the table for the given function machine.
Mathematical Talk
What do you think one-step function means?
What examples of functions do you know? What do you think
input and output means?
What is the output if ….?
What is the input if ….?
Work out the function if you know the following functions?
How many sets of input and output do you need to be able to work
out the function? Explain your answers.
What is the algebraic rule for that function machine …?
Input
Output
5
5.8
10
-3
-8
9
169
����
0
����
3
Write your function as an algebraic rule?
Work out the functions
Year 6
|
Spring Term
Week 5 to 6 – Number: Algebra
Find a Rule – One Step
Reasoning and Problem Solving
Meg has a one-step function machine.
She puts in the number 6 and the
number 18 comes out.
The function could
be +12,
×6,
subtract from 24,
divide by 1/3
Lucy is using the following function
machine.
10
What could the function be?
How many different answers can you
find?
Giles puts in some numbers into a
function machine.
The function is
subtract from 10
so the output is -6
Lucy put a number into the machine.
She puts the output back into the
machine and gets out another number.
The final answer is 2.5
What number did Lucy put in?
Lucy has another function machine.
•
She puts a number 8 and gets an
output.
•
She puts the output back into the
machine.
•
The final output is -6
What could the function be?
Subtract 7 ( - 7)
What is he output from the function when
the input is 16?

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