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Using Vernier Graphical Analysis - Line of Best Fit - how to video

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Using Vernier Graphical Analysis - Line of Best Fit - how to video

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Collect the data in Science and paste into the programme for analysis in Maths lesson or Science lesson.

N.B Data provided was named as Weight - should really be Mass

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Line of Best Fit Vernier Data entry compressed

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Ensure the scale is correctly marked on both axes

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Labels are given to describe the data on both axes

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Labels are given to describe the data on both axes

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e.g.

Vertical axis is distance travelled (m)

Horizontal axis is time taken (secs)

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Independent and dependent variable labels on axes

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Independent and dependent variable labels on axes

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Independent variable on the x-axis

Dependent variable on the y-axis

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Choosing the most appropriate 'type' of graph

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Choosing the most appropriate 'type' of graph

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e.g.

Line Graph

Bar Graph/ Bar chart

Histogram

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What to omit when drawing a line of best fit in science but to include within the data for Maths

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e.g.

Graph to show the relationship between the growth of the plant over a period of time

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Ensuring that lines of best fit go through as many data points as possible and/or have an equal number of points on either side of the line of best fit

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Using Desmos for generating Straight Line of Best Fit - demo included

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Using Desmos for generating Straight Line of Best Fit - demo included

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You can add more data and look for the impact on the Line of best fit.  Try using this simple example

https://www.desmos.com/calculator/5phrllyyct

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Using Desmos for Exponential function line of best fit

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Using Desmos for Exponential function line of best fit

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Example and instructions https://www.desmos.com/calculator/gvjno0bja4

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The Motion Detector uses ultrasound to measure the position of carts, balls, people, and other objects.
This example of a Vernier Go Direct Motion Detector accurately tracks objects as close as 15 cm and as far away as 3.5 m
Linked to the Graphical Analysis App children can generate graphs and get 'a feel' for the motion.

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speed in maths

velocity in science

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Graphs will contain continuous variables

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Graphs will contain continuous variables

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Discrete variables are more likely to appear in charts 

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Discrete variables are more likely to appear in charts 

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In Science, mathematical discrete data is known as categorical data. 

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In Science, mathematical discrete data is known as categorical data. 

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A graph is a chart that establishes the  relationship between the two variables

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A graph is a chart that establishes the  relationship between the two variables

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A composite bar chart is useful when the two sets of data are connected, as the frequencies are combined.

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A vector is a movement from one point to another it has a direction and magnitude (size)

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A vector is a movement from one point to another it has a direction and magnitude (size)

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Science:

Displacement Time Graph

Velocity Time Graph

Maths:

Velocity Time Graph

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E.g Km per hour to m per sec.

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Important to use "curly 𝑥" when defining a variable and a normal "x" when referring to a multiplication

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Students will tend to see theta as an angle in maths but its refers to temperature in Physics (see formula sheet)

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Whether its maths or Chemistry - using the algebra tiles will be useful for demonstrating solving

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In equations when balancing equations the balance is measuring the mass.

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Determine the equation of straight line graphs

Calculate the gradient as a rate of change

Determine gradient of tangent as instantaneous rate of change

Use the equation of a line to determine values

Use determine values to plot points/shape of graph

Graphs include negative numbers

Draw line of best fit for scatter plot

Predict values from a line of best fit

Determine a scale for a histogram (statistics)

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Plot two variables from experimental data

variables on axes

reading a scale

choosing a suitable axes

plotting with accuracy

line of best fit

Calculate the gradient

Calculate the gradient of tangent (H tier)

Compare gradient at different points

Distance - time graphs

Velocity - time graphs

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Foundation Tier

At least KS3 standard in Mathematics

Higher Tier

At least GCSE Foundation standard in Mathematics

Maths accounts for:

10% of marks in Biology

20% of marks in Chemistry

30% of marks in Physics

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Km/h is expected to be Kmh⁻¹

m/s is expected to be ms⁻¹

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An example created using Polypad;-

Number Bar tool to represent the atoms of each element

Algebra Balance tool to show the balance

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Another Balancing Equations in Chemistry example

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Another Balancing Equations in Chemistry example

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Polypad file polypad.org/1shWjC6nidTDtQ

Lots of questions here

https://chemistrytutor.me/wp-content/uploads/2018/11/Balancing-chemical-equations-worksheet-1-QP.pdf

and the answers here

https://chemistrytutor.me/wp-content/uploads/2018/11/Balancing-chemical-equations-worksheet-answers-1-MS.pdf

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Ensure students are able to convert comfortably between Fractions decimals and percentages. 100% = 1

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1. Graphs

2. Rearranging Equations

3. Ratio and Proportion

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The colder the temperature outside the mug, the faster the temperature inside the mug will change - this is what the graph shows