Topic 9 Year 7 Mathematics
Mathematics | |||
Topic | Constructing triangles and quadrilaterals | ||
No of lessons | 8 | ||
When is it happening | Term 2 Year 7 | ||
What will students learn | This unit involves students drawing and constructing triangles and quadrilaterals. In addition, there will be time allocated for a further analysis of their geometrical properties. Students will draw and measure angles within this context allowing them to practise the skills learned in the previous unit. | ||
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 | Naming the basic features of circles and reasoning using their properties. Drawing circles using a pair of compasses. Constructing triangles using a pair of compasses and ruler given the length of the sides. Determining when it is impossible to construct a triangle given three lengths. Drawing triangles with the same interior angles using a protractor. Informally discussing the properties of similar triangles. Constructing triangles given two sides and an angle. Forming quadrilaterals using the properties of circles. Using the symmetrical properties of special quadrilaterals. Constructing kites and rhombuses. Identifying symmetry in constructions. Constructing kites and rhombuses. Exploring diagonals and symmetry in constructions. | |
This is knowledge that students may have met before but will need to deepen their understanding | Know the key features of circles. Understand the basic features of regular polygons. Know the key features of circles. Understand basic features of triangles. Basic triangle constructions using a ruler and pair of compasses Understanding the basic features of a circle. Drawing angles with a protractor Understanding the angle and symmetry properties of triangles. Drawing angles with a protractor Drawing circles with a pair of compasses Basic triangle properties. Identifying features of special quadrilaterals Reflection symmetry. Identifying features of special quadrilaterals Basic constructions using circles. | ||
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 | Be able to use a compass and a protractor | |
This is skills that students may have met before but will need to develop | Draw a rectangle with a straight edge | ||
Key vocabulary that students should know and understand |
Line, Line segment, Geometric figure, Notation, Polygon |
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The Big Question | Can I construct a triangle with given size and angle? | ||
Key questions that students should be able to answer at the end of the 'Topic' |
Can I label a circle (arc, radius, diameter and etc)? Given the diameter can I use a compass to draw a circle? | ||
Can I construct a triangle with given lengths? | |||
If two sides of a triangle are given. Can I indicate the possible length for third side? | |||
Given two interior angles, can I draw two different triangles? | |||
Given two sides and an angle, can I accurately construct two different triangles? | |||
Can I draw all lines of symmetry for a given 2D shape? | |||
Can I use a ruler and compasses to construct quadrilaterals with given conditions? |
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Can I use a ruler and compasses to construct quadrilaterals with given conditions? |