Weekly Maths

This is a new unit, but it builds on last week’s work.

Make sure you know what these words mean and understand what the symbols and representa9ons stand for.

Make sure you carefully fold and fold again a piece of paper to form a simple but accurate right angle.

You will need this in a number of ques9ons this week. You might ﬁnd it easier to draw your shapes on squared paper.

Day One 18-5-2020 LI: To understand parallel lines, including the use of arrow nota9on to dis9nguish sets of parallel lines, and draw parallel lines in diﬀerent orienta9ons.

Steps to Success: • Have I drawn an arrow on the set of parallel lines? • Have I drawn a double set of arrows on a second set of parallel lines? Fluency warm-up: Watch this video clip, then 9ck which of the following shapes have parallel lines: hLps://www.bbc.co.uk/bitesize/topics/ zb6tyrd/ar9cles/zp327hv

Answers:

✔

✔ b) The diagonal lines on the gates are parallel because…

Why do you think the mathema9cian has some9mes drawn one and some9mes two arrow heads?

Mark these sets of parallel lines with arrow heads.

Remember that a vertex is the proper name for a corner.

Your turn now. Have a go at the following ques9ons:

Remember to use a ruler in c).

Plenary:

Answers:

Day Two

19-5-2020 LI: To deepen understanding of perpendicular lines, including recognising, labelling and drawing lines that are perpendicular to one another. Steps to Success: • Have I remembered that perpendicular means ‘at right angles to’? • Have I recognised the right angles? • Have I made a right angle out of folded paper to check?

Fluency warm-up:

Mark the parallel lines with sets of arrows.

Answers:

Remember that perpendicular means ‘at right angles to’.

Remember that you can make a right angle to check by folding a piece of paper.

It will help if you complete the drawings of the rectangles in b) before you try and explain how to complete them.

Your Turn:

Plenary:

Answers:

How did you do?

Answers:

How did you do?

Day Three

20-5-2020 LI: To develop reasoning about parallel and perpendicular lines in rela9on to one another in shapes and paLerns.

Steps to Success: • Have I used a folded paper right angle to check my perpendicular lines? • Have I marked the parallel lines using sets of arrows?

Fluency warm-up:

Mark the lines that are perpendicular to each other in these shapes:

Answers:

Fold or cut a piece of paper to match the ﬁrst angle shown. Then use this paper to compare with the other angles. Are they the same? Share:

Ignore the protractor. Your piece of cut paper should show that all three angles are the same.

Use a folded paper right angle, to check that these lines are all at right angles or perpendicular to each other. It might be easier to draw these lines and cut a strip of paper to try out how best to posi9on it to create parallel lines.

Carefully fold another piece of paper into this shape to ﬁnd both parallel and perpendicular lines. Don’t forget to use your folded paper right angle to check these shapes.

Calculate the size of the following angles if b= 45°. (Note that the lines crossing are parallel!)

Your Turn!

Plenary:

Answers

Day Four

21-5-2020 LI: To deepen understanding of the concepts of regular and irregular polygons by considering them in terms of their angles and lengths.

Steps to Success: • Have I looked for perpendicular and parallel lines? • Have I checked to see which shapes are regular or irregular? • Have I accurately drawn these shapes with a ruler and sharp pencil? Fluency warm-up:

Can you name the following quadrilaterals?

Answers

Trapezium

Rhombus

Square

Rectangle

Parallelogram

Kite

An interior angle is the one inside the shape. Copy one angle and compare its size to the others.

What is the diﬀerence between a regular and an irregular shape? Can you see how to use the squares to help work out the size of these angles?

Measure by copying one angle and comparing it to the others.

You should try to draw these shapes. On the next slide is some doLy paper to help you.

Your Turn:

Plenary:

Answers:

Day Five

22-5-2020 LI: To recognise the diﬀerent views of 3D shapes or collec9ons when viewed from diﬀerent posi9ons.

Steps to Success: • I can imagine what a shape looks like in diﬀerent posi@ons • I can draw a shape in diﬀerent posi@ons

Fluency warm-up:

Describe each of the following shapes according to their proper9es. Include parallel and perpendicular lines, whether the shape is regular or irregular, number of sides and size and number of angles (acute/obtuse).

Answers

A trapezium: • An irregular shape • Four edges with two the same length • One set of parallel lines • No perpendicular lines • Four internal angles • Two of them are adjacent and the same size of acute angles • The other two of them are also adjacent and the same size of obtuse angles

Answers

A rhombus:

An irregular shape Four sides all the same length Two sets of parallel sides No perpendicular sides Four internal angles Two acute angles that are the same size and opposite Two obtuse angles that are the same size and opposite Find a 9n can and look at it from the diﬀerent angles shown. Have a go at drawing what you see.

How did you get on?

Make sure you draw these diﬀerent views. Imagine looking down from on top. Draw what you will see and then compare your drawing to the images given.

Your Turn

Plenary:

Answers:

End of unit assessment:

End of unit assessment answers: