Topic 12 Year 7 Mathematics
| Mathematics | |||
| Topic | Transforming 2-D figures | ||
| No of lessons | 8 | ||
| When is it happening | Term 2 Year 7 | ||
| What will students learn | In this unit, students are expected to consider how different transformations acting on an object produce different images. Reflection, rotation, translation, and enlargement are first applied to an object on a grid before moving onto a coordinate axis. Reflection and rotation are introduced through previous experience of line and rotational symmetry. There is a focus on language and consideration of the amount of information required to perform each transformation. The ratios within are considered and between the similar shapes produced when an object is enlarged by a given scale factor. This is the foundation for exploring similarity and trigonometry later. Combinations of transformations are explored, including which combinations can or cannot be described as a single transformation. | ||
| Key Knowledge that students should know at the end of 'Topic' | This is the knowledge that students will meet for the first time in this topic | Lesson 1: Translation Translating shapes and describing translations using column vectors. Lesson 2: Rotation Rotating shapes about a point by multiples of 90° clockwise and anti-clockwise Describing rotations, understanding there is more than one correct description Lesson 3: Reflection Reflecting shapes in lines, describing horizontal and vertical lines with their equations. Observing the effect on the reflected images when the ‘original’ shape is translated Lesson 4: Mixed isometries Defining an isometry as a transformation that preserves length and shape Exploring when we can describe transformations in different ways Lesson 5: Combining reflections Expressing combinations of reflections, where the lines of reflection are parallel, as a translation. Lesson 6: Combining translations & reflections Exploring the combination of translations and reflections. Identifying when the combination of the operations is commutative. Lesson 7: Enlargements Defining scale factor enlargement for positive integers and unit fractions. Describing and drawing enlargements, observing the effect on the perimeter. Lesson 8: Enlargements and area .Describing and drawing enlargements, observing the effect on the area. | |
| This is knowledge that students may have met before but will need to deepen their understanding |
Classifying polygons according to their properties
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| Key Skills that students should be able to demonstrate at the end of 'Topic' | This is the skills that students will meet for the first time in this topic |
Translating shapes and describing translations using column vectors. Rotating shapes about a point by multiples of 90° clockwise and anti-clockwise Describing rotations, understanding there is more than one correct answer |
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| This is skills that students may have met before but will need to develop | Reflecting a shape using mirror line | ||
| Key vocabulary that students should know and understand | Transformation, rotation, reflection, enlargement, translation, single, combination, scale factor, mirror line, center of rotation, center of enlargement, column vector, vector, similarity, congruent, angle, direction, coordinate, describe | ||
| The Big Question | Can you describe a mathematical transformation? | ||
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Key questions that students should be able to answer at the end of the 'Topic' |
How does a vector communicate movement? | ||
| How should I rotate a shape when given a point of rotation? | |||
| How should I reflect a shape when given a line of reflection? | |||
| What are isometries? | |||
| How could multiple reflections be described using a single transformation? | |||
| If transformations are combined, does the combination order matter? | |||
| How do I enlarge a shape? | |||
| What impact does an enlargement have on the area of the shape? | |||