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Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem Solving and Reasoning.
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Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

Jul 19, 2020

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Page 1: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

Maths - Lesson 1

Monday 22nd June 2020

Triangles: Problem Solving and Reasoning.

Page 2: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

Name Image Description An irregular shape

One of the angles is a right angle

The other two add up to make the remaining 90°

A regular shape All three sides are equal All three angles are equal

(60°)

An irregular shape Two sides are equal in

length and one is different Two angles are equal in size

and one is different

An irregular shape None of the sides are the

same length None of the angles are the

same size

Triangles: Problem Solving and Reasoning

90°

Page 3: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

Label and identify each type of triangle. The first one has been done for you.

Here is a square. Inside the square is an equilateral triangle. The perimeter (outside measurement) of the square is 160cm

Triangles: Problem Solving and Reasoning

Page 4: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

From each line, draw two more sides to create: A equilateral triangle A scalene triangle An isosceles triangle If working in your book, it may be useful to know that each line measures 4cm.

Triangles: Problem Solving and Reasoning

This is Rosie.

She has 6 match sticks that she has been using to create the outline of different triangles.

Do you agree or disagree with what Rosie says?

Prove it!

Page 5: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

ANSWERS

Triangles: Problem Solving and Reasoning

Name Image Description An irregular shape

One of the angles is a right angle

The other two add up to total the remaining 90°

A regular shape All three sides are equal All three angles are equal

(60°)

An irregular shape Two sides are equal in

length and one is different Two angles are equal in size

and one is different

An irregular shape None of the sides are the

same length None of the angles are the

same size

90°

Page 6: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

ANSWERS

Triangles: Problem Solving and Reasoning

Here is a square. Inside the square is an equilateral triangle. The perimeter (outside measurement) of the square is 160cm

Page 7: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

Maths - Lesson 2

Tuesday 23rd June 2020

Quadrilaterals.

Page 8: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

?

All three inside angles add up to 360°

All the sides are straight

They are a 2D shape

They have four sides and four corners.

Quadrilaterals can be regular* or irregular*

Quadrilaterals

Square

°.

Rectangle

°.

Rhombus

Parallelogram

Trapezium

Page 9: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

Quadrilaterals

1. How many sides does a quadrilateral have?

6. What does parallel mean?

2. What type of shape is a quadrilateral? 7. Name a regular quadrilateral.

3. Name the five common quadrilaterals. 8. Why is a rectangle an irregular shape?

4. What are regular shapes? 9. What is the difference between a rhombus and a parallelogram?

5. What are irregular shapes? 10. What do the inside angles of a quadrilateral always add up to?

Explain how you know that you are correct for each

shape.

Page 10: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

Quadrilaterals

How many different quadrilaterals can you draw in your book?

Page 11: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

Quadrilaterals

ANSWERS

1. 6.

2. 7.

3.

8.

4.

9.

5. 10. °

Page 12: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

ANSWERS

Quadrilaterals

Page 13: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

Maths - Lesson 3

Wednesday 24th June 2020

Quadrilaterals: Problem Solving and Reasoning

Page 14: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

Quadrilaterals: Problem Solving and Reasoning

a) Complete each of the boxes in the table by filling them with a different quadrilateral.

b) Which box cannot be filled in? Explain your reasoning. __________________ __________________________________________________________________

Use this box or draw in your books.

Page 15: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

Quadrilaterals: Problem Solving and Reasoning

°. Use this statement to work out the missing angle. The first has been done for you with an explanation.

120° + 95° + 85° = 300° (First add up the angles that you know the measurements for. Use column addition if needed.) 360° - 300° = 60° (Next, subtract your answer from 360° to find the difference. Use column subtraction if needed.) D = 60°

Jottings box

Jottings box

Can you draw a quadrilateral with only two right angles and three sides of equal length.

Prove it!

Page 16: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

ANSWERS

Quadrilaterals: Problem Solving and Reasoning

a) Complete each of the boxes in the table by filling them with a different quadrilateral.

b) Which box cannot be filled in? Explain your reasoning.

Examples answers:

Page 17: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

Quadrilaterals: Problem Solving and Reasoning

°. Use this statement to work out the missing angle. The first has been done for you with an explanation.

120° + 95° + 85° = 300° (First add up the angles that you know the measurements for. Use column addition if needed.) 360° - 300° = 60° (Next, subtract your answer from 360° to find the difference. Use column subtraction if needed.) D = 60°

Jottings box 110° + 87° + 65° = 262°

360° - 262° = 98°

G = 98°

Jottings box 95° + 85° + 85° = 265°

360° - 265° = 95°

Y = 95°

°.

° °°

You may have observed that the bottom angles are the same so the top angles must also be the same when tackling this.

Page 18: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

Maths - Lesson 4

Thursday 25th June 2020

Times Tables Practise

Page 19: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

To prepare you for Year 5 learning, continue to develop your rapid recall of your table facts. To help you to practise this skill, complete the table below.

Time Taken: _____________________

x 1 2 3 4 5 7 8 9 10 6 11 12

1

2

3

4

5

6

7

8

9

10

11

12

x 2 12 9 10 8 5 4 11 3 6 7

4

7

12 108

8

5

6 30

9

3

Now, try and complete the tangle table version which may take longer to complete.

Times Tables Practise

Page 21: Maths - Lesson 1 Monday 22nd June 2020 Triangles: Problem … · 2020-06-18 · Maths - Lesson 3 Wednesday 24th June 2020 Quadrilaterals: Problem Solving and Reasoning. ... Can you

ANSWERS

Also use this grid to mark your tangle table.