Fractions 2

From Teach

(Difference between revisions)
(Learning Objectives)
(Proposed Schedule and Content)
 
(10 intermediate revisions not shown)
Line 27: Line 27:
** understand a fraction as being a part of a whole
** understand a fraction as being a part of a whole
** use a calculator with fractions
** use a calculator with fractions
 +
** Convert an [[improper fraction]] to a [[mixed number]], and vice versa.
 +
** Write a fraction in its simplest terms.
 +
** Recognise [[equivalent fraction]]s.
==Class management objectives==
==Class management objectives==
Line 32: Line 35:
== Terms to be taught ==
== Terms to be taught ==
-
* {{common fraction}}
+
 
-
* {{denominator}}
+
* {{equivalent fraction}}
* {{equivalent fraction}}
-
* {{improper fraction}}
 
-
* {{mixed number}}
 
-
* {{numerator}}
 
* {{per cent}}
* {{per cent}}
* {{proper fraction}}
* {{proper fraction}}
* {{reduced fraction}}
* {{reduced fraction}}
-
* {{vulgar fraction}}
 
== ECM outcome==
== ECM outcome==
Line 48: Line 46:
== Demonstrating Learning ==
== Demonstrating Learning ==
* How will your pupils demonstrate successful learning?
* How will your pupils demonstrate successful learning?
-
** Metric worksheet starter exercise.
+
** Success on worksheet.
** Contributions in class discussion.
** Contributions in class discussion.
== Possible Pupil Misconceptions ==
== Possible Pupil Misconceptions ==
-
* Expect many of the pupils to be poor on Imperial measures, for example:
+
* Being too reliant on calculators
-
**
+
== Resources ==
== Resources ==
Line 59: Line 56:
* Whiteboard pens
* Whiteboard pens
* EW pen
* EW pen
-
* 35 copies of Starter worksheets
+
* Extra copies of Primer worksheets
* This lesson plan (two hard copies)
* This lesson plan (two hard copies)
* Whiteboard rubber
* Whiteboard rubber
Line 76: Line 73:
== Opportunities for Differentiation ==
== Opportunities for Differentiation ==
-
* '''Talented and Gifted students''':  
+
* '''Talented and Gifted students''': Encourage them to help others having problems.
* '''Not-so-able students''':  
* '''Not-so-able students''':  
-
* '''SEN''':  
+
* '''SEN''':
== National Frameworks ==
== National Frameworks ==
Line 102: Line 99:
| -
| -
|  
|  
-
* If possible, put a copy of the starter worksheet on each pupil's desk.
 
* Write learning objectives on board.
* Write learning objectives on board.
* Sign on to PC, if necessary.  
* Sign on to PC, if necessary.  
Line 111: Line 107:
| -
| -
|  
|  
-
* Hand out starter worksheet as they enter.
 
|  
|  
*  
*  
|-
|-
| Registration
| Registration
-
| 3 mins
+
| 2 mins
| -
| -
| -
| -
|   
|   
-
* Ask them to get their homework diaries out on the desk.  
+
* Check they all have the Fractions Primer worksheet.
 +
* Ask them not to use calculators.
 +
|-
 +
| Main Section
 +
| 35 mins
 +
| -
 +
| -
 +
|
 +
# Finding the lowest common multiple.
 +
# Calculating equivalent fractions.
 +
# Using a common denominator to order fractions.
 +
# Adding fractions by finding a common denominator.
 +
# Subtracting fractions
 +
# Multiplying aninteger by a fraction. 
 +
# 'of' means x.
 +
# Cancelling down as an aid to multiplying fractions.
 +
# Dividing an integer by a fraction.
 +
# Cancelling down algebraic fractions.
 +
# Solving real-world puzzles.
 +
# Multiplying a fraction by a fraction.
 +
# Dividing a fraction by a fraction.
 +
# Recurring decimals.  
|-
|-
| Plenary
| Plenary
Line 127: Line 143:
| -
| -
|  
|  
-
* Set homework:
+
* Remind them about the homework.
-
 
+
|-
|-
| Dismiss  
| Dismiss  

Current revision as of 09:42, 27 November 2009

Contents

Lesson Details

  • Class: 10A1 (32 pupils)
  • Date: 24th November 2009
  • Time: 13.55-14:45
  • Room: T3.
  • Lesson number: 6th in the day.
  • National Curriculum (or other syllabus) area: KS4 - Number: Fractions
  • Target level(s) Grades: This is a top set in Y10.

In-Class Support

  • Role of in-class support by others (where applicable): David Labouchardière will be in the class monitoring this lesson. If required, he can help them with the worksheet and maintain quiet.

Learning Objectives

  • Order fractions by magnitude.
  • Add and subtract fractions.
  • Perform short division to convert a fraction into a decimal.
  • Recognise recurring decimals.
  • Convert recurring decimals into fractions.
  • Recognise that any terminating decimal is a fraction.
  • Multiply a fraction by an integer and a fraction.
  • Divide a fraction by an integer and a fraction.

Prior Knowledge of Pupils

  • Pupil prior knowledge or experience:
    • multiplication basics
    • ability to find common factors
    • understand a fraction as being a part of a whole
    • use a calculator with fractions
    • Convert an improper fraction to a mixed number, and vice versa.
    • Write a fraction in its simplest terms.
    • Recognise equivalent fractions.

Class management objectives

  • Focus on time management. We need to proceed at a brisk pace, with few disruptions, in order to cover the material.

Terms to be taught

  • equivalent fractions: are two or more fractions that have the same value but are different in form. For example, the fractions 3/4, 6/8, 63/84, 75% and 0.75 look different but all have the same value.
  • per cent: a special type of fraction in which the value given is a measure of the number of parts in every 100 parts.
  • proper fraction: a common fraction in which the numerator is smaller than the denominator.
  • reduced fraction: a common fraction in its simplest possible form, i.e. where top and bottom share no common factors.

ECM outcome

  • Ensure everyone leaves the lesson feeling they are confident with fractions.

Demonstrating Learning

  • How will your pupils demonstrate successful learning?
    • Success on worksheet.
    • Contributions in class discussion.

Possible Pupil Misconceptions

  • Being too reliant on calculators

Resources

  • Calculators
  • Whiteboard pens
  • EW pen
  • Extra copies of Primer worksheets
  • This lesson plan (two hard copies)
  • Whiteboard rubber

Risk/Safety Assessment

  • No abnormal risks -- today will be just worksheet and whiteboard.

Assessment Opportunities

  • Talk to the pupils on a one-to-one or one-to-few basis.
  • Move around the classroom.
  • Use questioning as part of lesson.

Relationships

  • Developing good working relationships:
    • Help the pupils with their learning.

Opportunities for Differentiation

  • Talented and Gifted students: Encourage them to help others having problems.
  • Not-so-able students:
  • SEN:

National Frameworks

  • Issues related to or derived from National Strategies/Frameworks (in particular, approaches to literacy):

Other terms they need to know

Proposed Schedule and Content

Proposed Schedule
Section
Duration
Start Time
Resource Movements
Key Points
Pre-Entry 2 mins -
  • Write learning objectives on board.
  • Sign on to PC, if necessary.
-
Entry 2 mins -
Registration 2 mins - -
  • Check they all have the Fractions Primer worksheet.
  • Ask them not to use calculators.
Main Section 35 mins - -
  1. Finding the lowest common multiple.
  2. Calculating equivalent fractions.
  3. Using a common denominator to order fractions.
  4. Adding fractions by finding a common denominator.
  5. Subtracting fractions
  6. Multiplying aninteger by a fraction.
  7. 'of' means x.
  8. Cancelling down as an aid to multiplying fractions.
  9. Dividing an integer by a fraction.
  10. Cancelling down algebraic fractions.
  11. Solving real-world puzzles.
  12. Multiplying a fraction by a fraction.
  13. Dividing a fraction by a fraction.
  14. Recurring decimals.
Plenary 5 mins - -
  • Remind them about the homework.
Dismiss 1 min - - -

To Do BEFORE the lesson

Personal tools
lessons in production
School-specific
Lessons by class
University Exercises