TfM Mathematics and Science by Pip Huyton

Appropriate and correct scale

2024-02-28 10:42:33 UTC

Ensure the scale is correctly marked on both axes

Labels are given to describe the data on both axes

2024-02-28 10:43:05 UTC

e.g.

Vertical axis is distance travelled (m)

Horizontal axis is time taken (secs)

Independent and dependent variable labels on axes

2024-02-28 10:43:09 UTC

Independent variable on the x-axis

Dependent variable on the y-axis

Key if stem and leaf

2024-02-28 10:43:38 UTC

Choosing the most appropriate 'type' of graph

2024-02-28 10:44:27 UTC

e.g.

Line Graph

Bar Graph/ Bar chart

Histogram

Identifying anomalous data

oumaimanaggay — 2024-02-28 10:47:28 UTC

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

Title for the graph

shwetasharma15 — 2024-02-28 10:48:21 UTC

e.g.

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

How to draw the line of best fit

oumaimanaggay — 2024-02-28 10:52:21 UTC

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

Standards unit card sort

pip15 — 2024-02-28 13:48:44 UTC

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

pip15 — 2024-03-03 14:50:20 UTC

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

Using Desmos for Exponential function line of best fit

pip15 — 2024-03-03 14:53:20 UTC

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

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

pip15 — 2024-03-03 14:53:57 UTC

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

Motion Detector - Generate the graph

pip15 — 2024-03-03 16:49:08 UTC

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.

Language of Distance Time Graphs

pip15 — 2024-03-09 16:28:43 UTC

speed in maths

velocity in science

Graphs v Charts

pip15 — 2024-03-13 10:14:06 UTC

Graphs will contain continuous variables

oumaimanaggay — 2024-03-13 10:15:05 UTC

Discrete variables are more likely to appear in charts

oumaimanaggay — 2024-03-13 10:15:28 UTC

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

oumaimanaggay — 2024-03-13 10:18:51 UTC

Pie charts have a key

shwetasharma15 — 2024-03-13 10:21:31 UTC

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

shwetasharma15 — 2024-03-13 10:24:25 UTC

Composite Bar Charts

fozianajib — 2024-03-13 10:31:45 UTC

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

Experimental/Historical data

fozianajib — 2024-03-13 10:41:12 UTC

Velocity Graph

fozianajib — 2024-03-13 10:44:44 UTC

Rearranging

fozianajib — 2024-03-13 11:17:44 UTC

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

oumaimanaggay — 2024-03-13 11:29:46 UTC

Maths or Science

fozianajib — 2024-03-13 11:30:31 UTC

Science:

Displacement Time Graph

Velocity Time Graph

Maths:

Velocity Time Graph

Different ways of writing units

pip15 — 2024-03-13 12:03:14 UTC

Use the fraction to convert

pip15 — 2024-03-13 12:05:42 UTC

E.g Km per hour to m per sec.

Notation

oumaimanaggay — 2024-03-13 12:21:25 UTC

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

Common notation mistakes with formulas

oumaimanaggay — 2024-03-13 12:26:01 UTC

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

Polypad for balancing equations

oumaimanaggay — 2024-03-13 13:31:57 UTC

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

Balancing

oumaimanaggay — 2024-03-13 13:43:47 UTC

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

Children in maths need to be able to:

pip15 — 2024-03-24 12:40:29 UTC

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)

Children in science need to be able to:

pip15 — 2024-03-24 12:40:45 UTC

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

GCSE Science

pip15 — 2024-03-24 16:53:30 UTC

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

Unit Notation

pip15 — 2024-03-24 16:56:30 UTC

Km/h is expected to be Kmh^-1

m/s is expected to be ms^-1

Balancing Equations in Chemistry

pip15 — 2024-04-15 17:55:25 UTC

An example created using Polypad;-

Number Bar tool to represent the atoms of each element

Algebra Balance tool to show the balance

Another Balancing Equations in Chemistry example

pip15 — 2024-04-16 09:43:33 UTC

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

Speed - what is it?

pip15 — 2024-04-24 08:27:53 UTC

Science

fozianajib — 2024-04-24 09:37:18 UTC

Multipliers

oumaimanaggay — 2024-04-24 09:37:48 UTC

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

Where % are used

pip15 — 2024-04-24 09:38:43 UTC

Emulator

pip15 — 2024-04-24 09:45:23 UTC

Science and Maths differences

fozianajib — 2024-04-24 09:49:12 UTC

Science Questions

fozianajib — 2024-04-24 11:03:26 UTC

Maths and Science Toolkit

oumaimanaggay — 2024-04-24 11:44:09 UTC

Graphs
Rearranging Equations
Ratio and Proportion

Science Questions

fozianajib — 2024-04-24 11:57:40 UTC

Words used to describe

fozianajib — 2024-04-24 12:09:35 UTC

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

Grappling with Graphs

pip15 — 2024-06-28 14:57:40 UTC