year 5 coordinates problem solving

Coordinates

Part of KS2 Maths

What are coordinates?

Find out how to use a map by reading coordinates on an x and y axis.

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Co-ordinates Problem Solving: Stretch (Year 5)

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This resource is suitable for the White Rose Maths Scheme of Learning, covering Summer Term Block 2 (Position and Direction), Step 2 (Problem Solving with Coordinates).

Help children practise problem solving with coordinates with this worksheet. In each word problem, they are given some coordinates. Using a coordinates grid as a visual aid, they must plot new coordinates based on the locations of the ones they have been shown.

Answers are included.

This worksheet is available in different levels. Please see the drop-down menu to select another level.

This resource is also available in a handy Lesson Pack, containing a selection of brilliant worksheets for this small step.

View Lesson Pack    See all Year 5 White Rose

• Key Stage: Key Stage 2
• Subject: Maths
• Topic: White Rose Maths | Summer Term: Position and Direction | Small Step 2
• Topic Group: Geometry
• Year(s): Year 5
• Media Type: PDF
• Resource Type: Worksheet
• Last Updated: 14/03/2024
• Resource Code: M2WHT16702
• Curriculum Point(s): 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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Unit 6: Module 6: Problem solving with the coordinate plane

About this unit.

"In this module, students develop a coordinate system for the first quadrant of the coordinate plane and use it to solve problems. Students use the familiar number line as an introduction to the idea of a coordinate and construct two perpendicular number lines to create a coordinate system on the plane. They see that just as points on the line can be located by their distance from 0, the plane’s coordinate system can be used to locate and plot points using two coordinates. They then use the coordinate system to explore relationships between points, ordered pairs, patterns, lines and, more abstractly, the rules that generate them. This study culminates in an exploration of the coordinate plane in real-world applications." Eureka Math/EngageNY (c) 2015 GreatMinds.org

Topic A: Coordinate systems

• Introduction to the coordinate plane (Opens a modal)
• Coordinate plane: graphing points (Opens a modal)
• Graph points review (positive numbers only) (Opens a modal)
• Graph points Get 5 of 7 questions to level up!
• Identify points Get 5 of 7 questions to level up!
• Identify coordinates Get 3 of 4 questions to level up!
• Distance between points in first quadrant Get 3 of 4 questions to level up!

Topic B: Patterns in the coordinate plane and graphing number patterns from rules

• Graphing patterns on coordinate plane (Opens a modal)
• Interpreting patterns on coordinate plane (Opens a modal)
• Interpreting relationships in ordered pairs (Opens a modal)
• Graphing sequence relationships (Opens a modal)
• Tables from rules that relate 2 variables Get 5 of 7 questions to level up!
• Rules that relate 2 variables Get 3 of 4 questions to level up!
• Graphs of rules that relate 2 variables Get 3 of 4 questions to level up!
• Relationships between 2 patterns Get 3 of 4 questions to level up!

Topic D: Problem solving in the coordinate plane

• Interpreting plotted points (Opens a modal)
• Coordinate plane graphing word problem (Opens a modal)
• Coordinate plane word problems practice (quadrant 1) (Opens a modal)
• Coordinate plane word problems (quadrant 1) Get 5 of 7 questions to level up!

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Coordinates

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

29 April 2018

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Nice problem solving questions Thank you.

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Thank you for sharing

Useful set of problems with answers. Thanks for sharing.

Steven_Wragg_3435

A really varied set of problems and activities focusing on coordinates in all 4 quadrants. Nicely put together and answers all included. Thanks for sharing : )

Amazing resource, thank you

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Reflection with Coordinates: Reasoning and Problem Solving

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• Fractions, Decimals, Percentages, Ratio and Proportion
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Position and Direction KS2

This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

A Cartesian Puzzle

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

Transformations on a Pegboard

How would you move the bands on the pegboard to alter these shapes?

Ten Hidden Squares

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

More Transformations on a Pegboard

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

Coordinate Challenge

Use the clues about the symmetrical properties of these letters to place them on the grid.

Eight Hidden Squares

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

Treasure Hunt

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

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Coordinates

This SMILE resource contains one pack of games, investigations, worksheets and practical activities supporting the teaching and learning of coordinates.

The pack contains ten work cards with a wide variety of activities requiring students to use coordinates to solve a coded message, draw a picture, use different kinds of grids to draw coordinate pictures, use coordinates to solve a puzzle, and plot coordinates in all four quadrants.

SMILE (Secondary Mathematics Individualised Learning Experiment) was initially developed as a series of practical activities for secondary school students by practising teachers in the 1970s. It became a complete individualised scheme based around a network of activity cards and assessments.

Related resources include answers  to all of the cards and test books and answers .

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Position in the First Quadrant Year 5 Position and Direction Free Resource Pack

Step 1: Position in the First Quadrant Year 5 Summer Block 3 Resources

Position in the First Quadrant Year 5 with Coordinates Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Summer Block 3.

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What's included in the pack?

This pack includes:

• Position in the First Quadrant Year 5 Teaching PowerPoint.
• Position in the First Quadrant Year 5 Varied Fluency with answers.
• Position in the First Quadrant Year 5 Decimals Reasoning and Problem Solving with answers.

National Curriculum Objectives

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

Differentiation:

Varied Fluency Developing  Questions to support understanding position in the first quadrant. Using up to 4 points, all plotted on a 5 x 5 grid, using 1:1 scale. Expected  Questions to support understanding position in the first quadrant. Using up to 6 points, all plotted on a 10 x 10 grid, using 1:1 scale. Greater Depth  Questions to support understanding position in the first quadrant. Using up to 6 points, all plotted on a 10 x 10 grid, using varying scales with some points plotted between increments.

Reasoning and Problem Solving Questions 1, 4 and 7 (Problem Solving) Developing  Use given coordinates to find a letter (simple letter formation). Using up to 4 points, all points plotted on a 5 x 5 grid, using 1:1 scale. Expected  Use given coordinates to find a letter. Using up to 6 points, all points plotted on a 10 x 10 grid, using 1:1 scale. Greater Depth  Use given coordinates to find a letter. Using up to 6 points, all points plotted on a 10 x 10 grid, using varying scales with some points plotted between increments.

Questions 2, 5 and 8 (Problem Solving) Developing  Plot coordinates to create a triangle on the grid. Using up to 4 points, all points plotted on a 5 x 5 grid, using 1:1 scale. Expected  Plot coordinates to create a quadrilateral on the grid. Using up to 6 points, all points plotted on a 10 x 10 grid, using 1:1 scale. Greater Depth  Plot coordinates to create a polygon on the grid. Using up to 6 points, all points plotted on a 10 x 10 grid, using varying scales with some points plotted between increments.

Questions 3, 6 and 9 (Reasoning) Developing  Decide if a statement linked to plotting lines on a grid is true or false and explain reasoning. Using up to 4 points, all points plotted on a 5 x 5 grid, using 1:1 scale. Expected  Decide if a statement linked to plotting shapes or basic knowledge of plotting coordinates on a grid is true or false and explain reasoning. Using up to 6 points, all points plotted on a 10 x 10 grid, using 1:1 scale. Greater Depth  Decide if a statement linked to knowledge of plotting coordinates on a grid is true or false and explain reasoning. Using up to 6 points, all points plotted on a 10 x 10 grid, using varying scales with some points plotted between increments.

This resource is available to download with a Taster subscription.

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