Y10 Foundation: Topic 14: Coordinates and linear graphs

Objectives:

Plot and read coordinates on a coordinate grid (in all four quadrants)

Understand that one coordinate identifies a point on a line, two coordinates identify a point in a plane and three coordinates identify a point in space, and use the terms ‘1-D’, ‘2-D’ and ‘3-D’

Find the coordinates of the fourth vertex of a parallelogram

Identify the coordinates of the vertex of a cuboid on a 3-D grid

Writing down the coordinates of the midpoint of the line connecting two points

Calculate the length of the line segment joining two points in the plane (all four quadrants)

Draw linear graphs from tabulated data, including real-world examples

Interpret linear graphs, including conversion graphs and distance-time graphs

Understand the difference between a line and a line segment

Draw and interpret graphs in the form y = mx + c (when values for m and c are given)

Understand that lines are parallel when they have the same value of m

Solve simultaneous equations graphically, eg find when/where the car overtakes the bus

Prior Knowledge:

Experience at plotting points in all quadrants

Directed numbers

Parallel and perpendicular lines

Key Vocabulary:

Copy and paste here.

Differentiation & Extension:

Find the coordinates of the point if intersection of the medians of a triangle, and explore further

Identify the coordinates of the midpoint of a line segment in 3-D

Plot graphs of the form y = mx + c where the student has to generate their own table and set out their own axes

Use a spreadsheet to generate straight line graphs, posing questions about the gradient of lines

More able students could extend to identifying regions relating to straight line graphs

Students performing below grade C will struggle with much of this module and examples should be set accordingly

Draw quadratic graphs

Use a graphical calculator to draw straight line graphs

Find graphically the coordinates of the point of intersection of two lines

Shading regions in a linear inequality

Using & Applying ideas:

Collaborate here.

NOTES

Students should use a ruler to draw coordinate axes

Coordinate axes should be labelled

Students often have difficulty visualising 3-D coordinates

Recognise linear graphs and hence when data may be incorrect

Link to graphs and relationships in other subject areas, ie science, geography, etc

## Y10 Foundation: Topic 14: Coordinates and linear graphs

## Objectives:

y=mx+c(when values formandcare given)mPrior Knowledge:## Key Vocabulary:

## Differentiation & Extension:

y=mx+cwhere the student has to generate their own table and set out their own axes## Using & Applying ideas:

NOTES## Teaching & Learning Resources:

3D Shapes Resources