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Bozeman Science
Mathematical Representations
In this video Paul Andersen shows you how to use mathematical and computational thinking in a mini-lesson on mathematical representations. Two examples are included in the video and two additional examples are included in the linked...
Curated Video
Multiplicative relationships and direct proportion
Pupil outcome: I can appreciate the connection between multiplicative relationships and direct proportion. Key learning points: - Direct proportion can be represented on a graph. - Direct proportion can be represented on a double number...
Curated Video
Abstract direct proportion
Pupil outcome: I can identify, write and solve direct proportion questions involving algebra. Key learning points: - Direct proportion equations are of the form y = kx - k is the constant of proportionality and it is also the gradient of...
Curated Video
Proportion modelled algebraically
Pupil outcome: I can identify and solve proportion questions involving algebra. Key learning points: - The question does not always state the type of proportion. - The context of the question can be used to determine the type of...
Curated Video
Checking and securing understanding of direct proportion graphs
Pupil outcome: I can identify direct proportion graphs from their features and can use the graph to create an equation to algebraically model this relationship. Key learning points: - Direct proportion can be recognised graphically. - A...
Curated Video
Converting between metric and imperial speed measures
Pupil outcome: I can convert between metric and imperial speed measures. Key learning points: - Sometimes speed is measured in different units. - Approximately 17 countries (roughly 9%) use mph. - When travelling abroad, it is useful to...
Curated Video
Problem solving with direct and inverse proportion
Pupil outcome: I can use my knowledge of direct and inverse proportion to solve problems. Key learning points: - Algebraic manipulation is needed to solve proportion problems. - Proportional relationships can be modelled graphically and...
Curated Video
Finding the constant of proportionality for direct proportion
Pupil outcome: I can use the general form for a directly proportional relationship to find k. Key learning points: - Direct proportion equations are of the form y = kx - k is the constant of proportionality and it is also the gradient of...
Curated Video
Graphing direct proportion
Pupil outcome: I can recognise direct proportion graphically and be able to identify features of the graph. Key learning points: - Direct proportion can be recognised graphically. - A direct proportion graph is always a straight line. -...
Curated Video
Finding the constant of proportionality for directly proportional relationships
Pupil outcome: I can use the general form for the directly proportional relationship y = kx^n to find k. Key learning points: - y can be directly proportional to x^n - This is because x^n could be written as a different variable.
Curated Video
Checking and understanding graphs showing direct proportion
Pupil outcome: I can recognise direct proportion graphically and can interpret graphs that illustrate direct proportion. Key learning points: - Direct proportion can be recognised graphically. - The equation of a direct proportion graph...
Curated Video
Checking and securing understanding of direct proportion in context
Pupil outcome: I can recognise direct proportion in a range of contexts, including compound measures. Key learning points: - Direct proportion can be used in a number of contexts. - One context is converting compound measure. - Another...
Curated Video
Checking and further securing understanding of direct proportion in context
Pupil outcome: I can recognise direct proportion in a range of contexts, including compound measures. Key learning points: - Direct proportion can be used in a number of contexts, for example in currency conversion. - Proportional...
Curated Video
GCSE Maths - What are Ratios & How to Simplify Them (Part 1) #81
This video covers:
- How ratios work and how to find ra
tios
- How to simpli
fy ratios
This video is suitable for maths cours
es around the world.
KS3 - All on your course
GCSE Fo
undation - All on your...
- How ratios work and how to find ra
tios
- How to simpli
fy ratios
This video is suitable for maths cours
es around the world.
KS3 - All on your course
GCSE Fo
undation - All on your...
Curated Video
GCSE Maths - What Does Directly Proportional Mean? #89
This video covers:
- What direct proportion or directly proportional m
eans
- What the relationship looks like
on a graph
This video is suitable for maths cours
es around the world.
KS3 - All on your course...
- What direct proportion or directly proportional m
eans
- What the relationship looks like
on a graph
This video is suitable for maths cours
es around the world.
KS3 - All on your course...
Curated Video
GCSE Maths - Scaling Up and Down Using Proportions #87
This video covers:
- How to find an known amount using direct proportion e.g. if 7 cakes costs £21, how much would 12 cakes
cost?
This video is suitable for maths courses ar
ound the world.
KS3 -
All on your course...
- How to find an known amount using direct proportion e.g. if 7 cakes costs £21, how much would 12 cakes
cost?
This video is suitable for maths courses ar
ound the world.
KS3 -
All on your course...
Curated Video
GCSE Maths - How to Write Algebraic Expressions for Directly Proportional Relationships #90
This video covers:
- What direct proportion or directly proportional m
eans
- How to write expressions for directly proportional rel
ationships
This video is suitable for maths cours
es around the world.
KS3 -...
- What direct proportion or directly proportional m
eans
- How to write expressions for directly proportional rel
ationships
This video is suitable for maths cours
es around the world.
KS3 -...
Brian McLogan
How to determine if a table represents direct variation
In this video I will show you how to use direct variation to help determine the missing variable, as well as how to determine if an equation is an example of direct variation or not. For an equation to be an example of direct variation...
Curated Video
Introduction to Proportional Relationships and Graphs
This video is a presentation on proportional relationships and graphs. The speaker discusses direct and inverse proportion and provides examples along with constant rates of change. They also explain how nonlinear functions can create a...
KnowMo
Interpreting Gradients as Rates of Change
This video provides an explanation and examples of interpreting gradients as rates of change. The speaker discusses how the gradient of a line can represent the rate of change, with steeper lines indicating a greater rate of change. They...
KnowMo
Introduction to Direct Proportion
This video explains the concept of direct proportion and how to solve problems related to it. The lecturer explains the mathematical language associated with direct proportion and provides examples where it can be applied. The video then...
Curated Video
GCSE Secondary Maths Age 13-17 - Ratio, Proportion & Rates of Change: Direct Proportion - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow...
KnowMo
Introduction to Proportion and Best Buys
This video serves as an introduction to proportion in mathematics, covering the two types of proportion, direct and inverse, and providing real-life examples for each. The video discusses how to find the value of one item in direct...
Curated Video
GCSE Secondary Maths Age 13-17 - Ratio, Proportion & Rates of Change: Inverse Proportionality - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow...