year 5 reflection problem solving

Year 5 Problem Solving and Memory

All lesson plans are in one PDF file. Any resources referenced in the plans are linked to below.

Click on the URL video links on the plans to access videos.

Collections: Year 5

Lesson Plan

Download Lesson Plan

Lesson Resources

Y5T2L10 Resource 1 - Nicknames

Y5T2L10 Resource 2 - sandwich choices

Y5T2L10 Resource 3 - KS2 reflection sheet

Y5T2L11 Resource 1 - tea for two

Y5T2L11 Resource 2 - timetable

Y5T2L11 Resource 3 - clue sheet

Y5T2L11 Resource 4 - KS2 Reflection Template

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Reflection with Coordinates: Reasoning and Problem Solving

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Year 5 - Position and Direction - Reflection with coordinates - White Rose Maths

Subject: Mathematics

Age range: 7-11

Resource type: Lesson (complete)

Last updated

8 April 2022

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Carefully crafted teaching presentation with everything you need to teach this small step of White Rose Maths Year 5 Autumn Block 3 Position and Direction. This presentation follows the mastery approach of concrete, pictorial and abstract, whilst implementing all aspects of Rosenshine’s principles of instruction.

This presentation contains: *A warm-up to start the children’s thinking with AfL and metacognition style questions. *Guided practice through each new concept, providing models of strategies and worked examples. *Independent practice through differentiated varied fluency, reasoning, and problem-solving questions. *Plus, a greater depth extension activity to fully show students’ understanding. *Answer sheets for teacher or students’ self/peer assessment *Student refection page to discuss the lesson’s objectives and their individual next steps.

The complete Year 5 Position and Direction Unit can be found here.

-This product is not affiliated with nor endorsed by White Rose Maths-

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Resources tagged with: Reflections

There are 53 NRICH Mathematical resources connected to Reflections , you may find related items under Transformations and constructions .

National Flags

This problem explores the shapes and symmetries in some national flags.

So It's Times!

How will you decide which way of flipping over and/or turning the grid will give you the highest total?

Exploded Squares

This practical activity challenges you to create symmetrical designs by cutting a square into strips.

Reflector ! Rotcelfer

Can you place the blocks so that you see the reflection in the picture?

Surprising Transformations

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

Reflecting Lines

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

...on the Wall

Explore the effect of reflecting in two intersecting mirror lines.

Mirror, Mirror...

Explore the effect of reflecting in two parallel mirror lines.

Transformation Game

Why not challenge a friend to play this transformation game?

Let Us Reflect

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

Shady Symmetry

How many different symmetrical shapes can you make by shading triangles or squares?

Reflecting Squarely

In how many ways can you fit all three pieces together to make shapes with line symmetry?

These clocks have been reflected in a mirror. What times do they say?

Attractive Tablecloths

Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?

Building with Rods

In how many ways can you stack these rods, following the rules?

Paint Rollers for Frieze Patterns.

Proofs that there are only seven frieze patterns involve complicated group theory. The symmetries of a cylinder provide an easier approach.

What groups of transformations map a regular pentagon to itself?

2010: A Year of Investigations

This article for teachers suggests ideas for activities built around 10 and 2010.

How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?

The Fire-fighter's Car Keys

A fire-fighter needs to fill a bucket of water from the river and take it to a fire. What is the best point on the river bank for the fire-fighter to fill the bucket ?.

Making Maths: Indian Window Screen

Can you recreate this Indian screen pattern? Can you make up similar patterns of your own?

Simplifying Transformations

How many different transformations can you find made up from combinations of R, S and their inverses? Can you be sure that you have found them all?

Combining Transformations

Does changing the order of transformations always/sometimes/never produce the same transformation?

Decoding Transformations

See the effects of some combined transformations on a shape. Can you describe what the individual transformations do?

Rotations Are Not Single Round Here

I noticed this about streamers that have rotation symmetry : if there was one centre of rotation there always seems to be a second centre that also worked. Can you find a design that has only one centre of rotation ? Or if you thought that was impossible, could you say why ?

One Reflection Implies Another

When a strip has vertical symmetry there always seems to be a second place where a mirror line could go. Perhaps you can find a design that has only one mirror line across it. Or, if you thought that was impossible, could you explain why ?

A Roll of Patterned Paper

A design is repeated endlessly along a line - rather like a stream of paper coming off a roll. Make a strip that matches itself after rotation, or after reflection

Make a footprint pattern using only reflections.

Orbiting Billiard Balls

What angle is needed for a ball to do a circuit of the billiard table and then pass through its original position?

Screen Shot

A moveable screen slides along a mirrored corridor towards a centrally placed light source. A ray of light from that source is directed towards a wall of the corridor, which it strikes at 45 degrees before being reflected across to the opposite wall and so on until it hits the screen.

Coordinating Classroom Coordinates

This article describes a practical approach to enhance the teaching and learning of coordinates.

Shaping up with Tessellations

This article describes the scope for practical exploration of tessellations both in and out of the classroom. It seems a golden opportunity to link art with maths, allowing the creative side of your children to take over.

Hidden Meaning

What is the missing symbol? Can you decode this in a similar way?

Flipping Twisty Matrices

Investigate the transformations of the plane given by the 2 by 2 matrices with entries taking all combinations of values 0, -1 and +1.

Two Triangles in a Square

Given that ABCD is a square, M is the mid point of AD and CP is perpendicular to MB with P on MB, prove DP = DC.

Transforming the Letters

What happens to these capital letters when they are rotated through one half turn, or flipped sideways and from top to bottom?

Reflect Again

Follow hints to investigate the matrix which gives a reflection of the plane in the line y=tanx. Show that the combination of two reflections in intersecting lines is a rotation.

Rots and Refs

Follow hints using a little coordinate geometry, plane geometry and trig to see how matrices are used to work on transformations of the plane.

In a snooker game the brown ball was on the lip of the pocket but it could not be hit directly as the black ball was in the way. How could it be potted by playing the white ball off a cushion?

Some local pupils lost a geometric opportunity recently as they surveyed the cars in the car park. Did you know that car tyres, and the wheels that they on, are a rich source of geometry?

The Frieze Tree

Patterns that repeat in a line are strangely interesting. How many types are there and how do you tell one type from another?

Frieze Patterns in Cast Iron

A gallery of beautiful photos of cast ironwork friezes in Australia with a mathematical discussion of the classification of frieze patterns.

A shape and space game for 2, 3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board.

Transformation Tease

What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?

The centre of the larger circle is at the midpoint of one side of an equilateral triangle and the circle touches the other two sides of the triangle. A smaller circle touches the larger circle and two sides of the triangle. If the small circle has radius 1 unit find the radius of the larger circle.

A Problem of Time

Consider a watch face which has identical hands and identical marks for the hours. It is opposite to a mirror. When is the time as read direct and in the mirror exactly the same between 6 and 7?

Retracircles

Four circles all touch each other and a circumscribing circle. Find the ratios of the radii and prove that joining 3 centres gives a 3-4-5 triangle.

Cushion Ball

The shortest path between any two points on a snooker table is the straight line between them but what if the ball must bounce off one wall, or 2 walls, or 3 walls?

Can you see which tile is the odd one out in this design? Using the basic tile, can you make a repeating pattern to decorate our wall?

Which times on a digital clock have a line of symmetry? Which look the same upside-down? You might like to try this investigation and find out!

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Year 5 Reflection with Coordinates Maths Challenge

This Year 5 Reflection with Coordinates Maths Challenge checks your child’s understanding of reflection with coordinates. Pupils will reflect a shape across two diagonal mirror lines and give the coordinates of the reflected images.

If you would like to access  additional resources which link to this maths challenge, you can purchase a subscription for only £5.31 per month on our sister site, Classroom Secrets .

Teacher Specific Information

This Year 5 Reflection with Coordinates Maths Challenge checks pupils’ understanding of reflection with coordinates. Pupils will reflect a shape across two diagonal mirror lines and give the coordinates of the reflected images.

National Curriculum Objectives

Geometry: Position and Direction

Mathematics Year 5: (5P2) Identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed

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