In this lesson, children revisit coordinates: last taught in Year 4. Children will read coordinates in brackets and know that the first number represents the x-coordinate and the second number the y-coordinate. This lesson introduces that where the x and y axes meet (0,0) on the grid is called the origin.  They will practise reading and plotting points on the coordinate grid, including points that are vertices of 2-D shapes. There is a teaching presentation accompanied by differentiated activities with a range of fluency, reasoning and problem-solving questions.

Year 5 Mathematics

Content Descriptors

V8.4

Use a grid reference system to describe locations. Describe routes using landmarks and directional language ACMMG113

V9

construct a grid coordinate system that uses coordinates to locate positions within a space; use coordinates and directional language to describe position and movement AC9M5SP02

Differentiation:
There are three levels of differentiation in this pack: ‘working towards,’ ‘expected’ and ‘greater depth’.

Level of this Pack:

Age: 9-10
Australia: Grade 5

The post Year 5 Position and Direction – Position in the First Quadrant – Lesson 1 appeared first on Grammarsaurus Australia.

In this lesson, children will learn to translate shapes on a grid and to describe translations. They will also learn that it can be helpful to focus on one vertex at a time when translating more complicated shapes.  They will develop an understanding that the shape itself does not change size nor orientation when translated. There is a teaching presentation accompanied by differentiated activities with a range of fluency, reasoning and problem-solving questions.

Year 5 Mathematics

Content Descriptors

V8.4

Use a grid reference system to describe locations. Describe routes using landmarks and directional language ACMMG113

Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries ACMMG114

V9

construct a grid coordinate system that uses coordinates to locate positions within a space; use coordinates and directional language to describe position and movement AC9M5SP02

describe and perform translations, reflections and rotations of shapes, using dynamic geometric software where appropriate; recognise what changes and what remains the same, and identify any symmetries AC9M5SP03

Differentiation:
There are three levels of differentiation in this pack: ‘working towards,’ ‘expected’ and ‘greater depth’.

Level of this Pack:

Age: 9-10
Australia: Grade 5

The post Year 5 Position and Direction – Translation – Lesson 2 appeared first on Grammarsaurus Australia.

In this lesson, children will translate coordinates and also describe different translations.  This lesson builds an understand of the effect translations has on a set of coordinates. There is a teaching presentation accompanied by differentiated activities with a range of fluency, reasoning and problem-solving questions.

Year 5 Mathematics

Content Descriptors

V8.4

Use a grid reference system to describe locations. Describe routes using landmarks and directional language ACMMG113

Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries ACMMG114

V9

construct a grid coordinate system that uses coordinates to locate positions within a space; use coordinates and directional language to describe position and movement AC9M5SP02

describe and perform translations, reflections and rotations of shapes, using dynamic geometric software where appropriate; recognise what changes and what remains the same, and identify any symmetries AC9M5SP03

Differentiation:
There are three levels of differentiation in this pack: ‘working towards,’ ‘expected’ and ‘greater depth’.

Level of this Pack:

Age: 9-10
Australia: Grade 5

The post Year 5 Position & Direction – Translation with coordinates – Lesson 3 appeared first on Grammarsaurus Australia.

In this lesson, children will reflect objects using lines that are parallel to the axes. They will be introduced to the terms ‘object’ meaning the shape before it is reflected and ‘image’ meaning of shape after reflection. There is a teaching presentation accompanied by differentiated activities with a range of fluency, reasoning and problem-solving questions.

Year 5 Mathematics

Content Descriptors

V8.4

Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries ACMMG114

V9

describe and perform translations, reflections and rotations of shapes, using dynamic geometric software where appropriate; recognise what changes and what remains the same, and identify any symmetries AC9M5SP03

Differentiation:
There are three levels of differentiation in this pack: ‘working towards,’ ‘expected’ and ‘greater depth’.

Level of this Pack:

Age: 9-10
Australia: Grade 5

The post Year 5 Position & Direction – Reflection – Lesson 4 appeared first on Grammarsaurus Australia.

In this lesson, children will explore what happens to points when they are reflected in lines parallel to the axes. They will record the coordinates of vertices of the object and those of the image. There is a teaching presentation accompanied by differentiated activities with a range of fluency, reasoning and problem-solving questions.

Year 5 Mathematics

Content Descriptors

V8.4

Use a grid reference system to describe locations. Describe routes using landmarks and directional language ACMMG113

Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries ACMMG114

V9

construct a grid coordinate system that uses coordinates to locate positions within a space; use coordinates and directional language to describe position and movement AC9M5SP02

describe and perform translations, reflections and rotations of shapes, using dynamic geometric software where appropriate; recognise what changes and what remains the same, and identify any symmetries AC9M5SP03

Differentiation:
There are three levels of differentiation in this pack: ‘working towards,’ ‘expected’ and ‘greater depth’.

Level of this Pack:

Age: 9-10
Australia: Grade 5

The post Year 5 Position & Direction – Reflection with coordinates – Lesson 5 appeared first on Grammarsaurus Australia.