Transcript Session 1 – Curriculum Design

Curriculum Development
Deborah Harper, South Farnham School
Collaborative project with the White
Rose Maths Hub
• Based in Halifax, Yorkshire
• Trinity Teaching School alliance
• Published free scheme of work for KS1 and KS2
– Mastery Curriculum Model
– Fluency, reasoning and problem solving questions
– Assessments
• http://www.trinitytsa.co.uk/maths-hub/
White Rose – Year 5 overview
What might the 5 week spring unit
on fractions look like?
How can
teachers turn
these into 25
lessons?
Fluency, reasoning and problem
solving example questions:
Turning the 5 week block into lessons:
NC Learning Objective
Lesson
Identify and name equivalent
fractions of a given fraction,
represented visually including
tenths and hundredths.
1
2
Recognising equivalent fractions using a fraction wall.
Calculating equivalent fractions.
3
Reasoning about equivalent fractions.
4
Ordering fractions with similar denominators.
5
Finding common multiples and the lowest common multiple.
6
Ordering fractions whose denominators are multiples of the same number.
7
Problem solving to apply understanding of ordering fractions.
Add fractions with the same denominator expressing answers as improper
fractions.
Subtract fractions with the same denominator expressing answers as improper
fractions.
Add fractions with denominators which are multiples of the same number
expressing answers as improper fractions.
Subtract fractions with denominators which are multiplies of the same number
expressing answers as improper fractions.
Compare and order fractions whose
denominators are multiplies of the
same number.
8
9
Add and subtract fractions with the
same denominator and
denominators that are multiplies of
the same number.
Recognise mixed numbers and
improper fractions and convert
from one form to the other and
write mathematical statements >1
as a mixed number.
10
11
Lesson learning objective
12
Reasoning about adding and subtracting fractions.
13
Problem solving using addition and subtraction of fractions.
14
Recognise using diagrams how improper fractions can be expressed as a mixed
number.
15
Convert improper fractions to mixed numbers.
16
Convert mixed numbers to improper fractions.
NC Learning Objective
Lesson
17
Multiply proper fractions and mixed
numbers by whole numbers
supported by materials and
diagrams.
18
19
20
Read and write decimal numbers as
fractions.
Solve problems involving
multiplication and division including
scaling by simple fractions and
problems involving simple rates.
Review
Assess
21
Lesson learning objective
Multiply unit fractions by one digit numbers using diagrams and recognising
multiplication as repeated addition.
Multiply non unit fractions by one digit numbers using diagrams and
recognising multiplication as repeated addition.
Multiply mixed numbers by whole numbers.
Reasoning and problem solving about multiplying fractions and mixed numbers
by whole numbers.
Understand the relationship between tenths, hundredths and thousandths and
their decimal equivalent.
22
Solve division problems where the remainder is expressed as a fraction.
23
Solve problems involving scaling by simple fractions.
24
25
Review unit.
Assess children's understanding.
Map onto text books.
Add PowerPoint
lesson resources.
Text book mapping:
Text book mapping
NC Learning Objective
PPT Lesson Lesson learning objective
8
9
Add and subtract fractions with
the same denominator and
denominators that are
multiplies of the same number.
10
Yes
11
12
13
Add fractions with the same denominator
expressing answers as improper fractions.
Subtract fractions with the same denominator
expressing answers as improper fractions.
Add fractions with denominators which are
multiples of the same number expressing
answers as improper fractions.
Subtract fractions with denominators which are
multiplies of the same number expressing
answers as improper fractions.
Reasoning about adding and subtracting
fractions.
Problem solving using addition and subtraction
of fractions.
Busy Ants
Inspire Maths No
Maths Problem
5B p40
5B p42
5B p40 5A TB p71
5B p42 5A TB p74
5B p40,
5A TB p73
5B p42
5B p40,
5A TB p99
5B p42
Fluency
• To add and subtract fractions with the same denominator,
and denominators that are multiples of the same number.
Find the answer to these calculations.
3 2
+
7 7
=
3
2
+
=
7 14
4
9
5 15
=
Find the missing fractions.
11
7
+
18
−
5
4
+
6
=
18
7
=
9
10
=
1
6
Reasoning
• To add and subtract fractions with the same denominator,
and denominators that are multiples of the same number.
Write down two fractions which
1
have a difference of .
2
?
?
-
?
?
=
1
2
1
is
8
2
3
Sam thinks
3
5
+ =
5
8
What would you say to him
and why?
The answer
, what is
the question?
?
?
?
?
+ =
1
8
Problem solving
• To add and subtract fractions with the same denominator,
and denominators that are multiples of the same number.
A gardener bought
another
1
4
1
6
2
3
kg of compost on Monday and
kg on Tuesday. She filled flower pots with
kg of compost. How much compost did she have left?
1
5
There were some people at a concert. of them
1
were men and of them were women. The rest
7
were children. What fraction of the people were
children?
Assessment materials:
2 tests per term for years 1 – 6
In summary….
•
•
•
•
•
Mastery Schemes of Learning for KS1 and KS2
Lesson by lesson learning objectives
Mapping to popular text books
Bank of questions for each learning objective
PowerPoint resources with fluency, reasoning
and problem solving questions
• Termly assessments
• FREE!!