Mathematics in Primary School
Mathematics portfolio guides both the teacher and the students towards meeting the unit aims by defining objects that are the guideline that those implementing the curriculum in the Australian education system follow. The Australian primary mathematics unit considers proficiency strands, fluency problem-solving, and reasoning that are integrated mathematic content. Anderson, (2014) suggests that proficiency helps in reinforcing mathematics operations and builds content, through proper definitions by use of accurate language to communicate the lesson objectives and then develop defined objectives.
Year level and Theme:
Year 6:, Theme: measurement and Geometry
Unit overview
Pedagogical approaches in teaching and learning of
year six Mathematics in Australia
- Inquiry-based approach
- Constructivism pedagogy
- Collaborative pedagogy
- Integrative pedagogy
Unit objectives
By the end of this unit the learner should be able to:
- Use decimal representations to the metric system where the student can understand the conversion units.
- The student can convert between different units of mass of objects, area, the volume of cylinders and lengths of shapes
- Understand the relationship that exists between volume, mass, and area
- work out the questions on the area, mass, volume using apprhttps://sharksavewriters.com/natural-environment/opriate units
Construct a prism
- and define the properties of a simple prism
- Construct a pyramid and explain the feature the shape has and then distinguish it from the prism
- Describe translations, reflection, a transformation of drawings
- Describe the Cartesian coordinates using the quadrants of x,y coordinates
- Describe the properties of angles such as those on a straight line, the vertically opposite angles, and the angles that are connected at a point.
Lesson outlines
Lesson 1: units of measurement
Content Descriptors:
Knowledge
Understanding
Skills
Key aims: By the end of the lesson the student should be able to:
- measure the conversion units
- describe the relationship between conversions of mass, length, and volume
- solve mathematic questions of length and area using appropriate formulae
Introduction/warm-up:
Showing the students the table of conversion units
Main activity/activities:
Discussion of conversion units by showing mathematical calculations on the chalkboard
Explain the differences in mass, length, and volume to the learners
Answering mathematical assignment in the classroom
Lesson resources:
Student’s Textbooks
pictures of conversion units
Conclusion:
The lesson objectives are met as the learners covert the units and solve mathematical operations on volume, mass and length of shapes
Diversity inclusion:
The teacher uses different teaching methods such as behavioral development group discussions
ICT:
The teacher uses ICT to demonstrate the relationship in the measurement conversions
Lesson outlines
Lesson 2: shapes
Content Descriptors: Knowledge
Understanding
Skills
Key aims: by the end of the lesson, the learner should be able to:
- Construct a prism and identify its properties
- Find the volume and surface area of a prism
- Construct a pyramid and identify its properties
- Find the volume and area of a pyramid
- Distinguish the properties of a pyramid from a prism
Introduction/warm-up:
Main activity/activities:
Explaining to the students the properties of the prisms and pyramids
Asking the students questions to state their observation on the faces, vertices, and edges of the shapes
Giving assignments on the volume and area of prisms and pyramids
Lesson resources: shapes of pyramids and prism made from boxes
Pictures in the student’s textbooks
Conclusion:
The lesson objectives are achieved as the students distinguish between the two shapes, show the faces, edges, and vertices
Diversity inclusion:
The teacher uses charts and tables are to create learning diversity
The weak students get extra special lessons to help them improve
ICT:
The students use information technology to construct sketches of pyramids and prisms
Lesson outlines
Lesson 3: location and Transformation
Content Descriptors:
Knowledge
Understanding
Skills
Key aims: By the end of this lesson, the learner should be able to;
- Describe translations, reflection, the transformation of drawings
- Wickman, (2010), Describes the Cartesian coordinates using the quadrants of x,y coordinates
Introduction/warm-up:
Explain to the learners the importance of translations, reflection, and transformation
Showing visual pictures of shapes to help capture the learners’ attention
Main activity/activities:
Drawing a number line and demonstrating how a shape can be reflected on a number line
Showing enlargement of shapes, Didimo, Eades & Liotta,2011), show how computers are used to transform angles through enlargement and reflections.
Demonstrating the Cartesian coordinates; the x (+) and y (-) coordinates
Lesson resources:
Visual pictures
protractor
a chalkboard ruler
graphical drawings
Conclusion:
The lesson objects are met as the learners draw number lines and demonstrate how shapes are reflected the enlarge shapes and answer the questions on Cartesian coordinates appropriately.
Diversity inclusion:
Group discussion of different gender and race is encouraged
The learner’ opinion is accepted and discussed without any discrimination of the weak students
ICT:
The teacher uses projectors to demonstrate the reflections and transformations
Lesson outlines
Lesson 4: Geometry Reasoning
Content Descriptors:
Knowledge
Understanding
Skills
Key aims: By the end of this lesson, the learner should be able to;
- Describe properties of angles on a straight line, the vertically opposite angles and the angles that are connected at a point
Introduction/warm-up:
The teacher asks questions on the previous topic to help capture the learners’ attention
Main activity/activities:
Show the students the relevant apparatus for measuring angles
Demonstrating to the learners the properties of a right angle, obtuse angle, acute angle, and reflex angle
Demonstrate the relationship between angles in a straight line, the vertically opposite and those connected to a point
Lesson resources:
Shapes of angles
Visual drawings
Conclusion:
The lesson objectives are met as the students place the protractors appropriately when measuring angles. The students demonstrate the properties of angles and use them to answer questions effectively
Diversity inclusion:
Different teaching methods such as group discussions, charts, and behavioral development are in use in the classroom.
ICT:
The learners us the ICT to display different angles and identify their properties