Aged 5 to 7 years (Key stage 1, year 1 & 2). SATS in year 2
What affects year 1 and 2 students
From 5 to 7 years (Key stage 1, year 1&2) English SATS in year 2
Reading (word and comprehension), writing (spelling and handwriting)
From 5 to 7 years (Key stage 1, year 1&2) Maths SATS in year 2
Number, place value, add, subtract, multiply, divide, fractions, shape, space and measurement
From 5 to 7 years (Key stage 1, year 1&2) Maths SATS in year 2
Working scientifically, plants, animals, everyday materials and seasonal changes
Learn with Videos for Year 1 and 2
Maths: Learn how to Add, Subtract, Multiply and Divide
Aged 8 to 11 years (Key stage 2, year 3-6) SATS in year 6
What affects year 3 to year 6 students
From 8 to 11 years (Key stage 2, year 3-6) English SATS in year 6
Reading (word and comprehension), writing (spelling and handwriting)
Aged 8 to 11 years (Key stage 2, year 3-6) Maths SATS in year 6
Number, calculations, fractions, measurements, geometry, stats, algebra and ratio
Aged 8 to 11 years (Key stage 2, year 3-6) Science SATS in year 6
Sc1:scientific enquiry, sc2:life processes & living, sc3:materials and their properties, sc4:physical processes
Learn with Videos for Year 3 to 6
Maths: basic operations; English - SPAG
Aged 12 to 14 years (Key stage 3) SATS in year 9
The latest on Key stage 3
Aged 12 to 14 years (Key stage 3) English SATS in year 9
Reading and writing, spoken language, spelling, vocabulary and grammar
Aged 12 to 14 years (Key stage 3) Maths SATS in year 9
Numeracy and mathematical reasoning and problem solving
Aged 12 to 14 years (Key stage 3) Science SATS in year 9
Working scientifically, biology, chemistry,and physics.
Aged 15 to 16 years with GCSE's in year 11
The latest changes to GCSE Maths, Science and English
From aged 14 to 16 years (2 year GCSE, year 10 & 11).
Two year GCSE with exams at the end. Two exam papers: Foundation (up to grade C) or Higher (to A*).
From aged 14 to 16 years (2 year GCSE, year 10 & 11).
Two year GCSE with exams at the end. Two exam papers: Foundation (up to grade C) or Higher (to A*).
From aged 14 to 16 years (2 year GCSE, year 10 & 11)
Two year GCSE with exams at the end. Two exam papers: Foundation (up to grade C) or Higher (to A*).
Yr 12-13 news
What's happening in year 12&13 Maths and Physics
Advanced level, usually taken from ages 16-18 years
Yr12: C1+C2+option. Yr13: C3+C4+option. Options= Mechanics,decision maths,statistics. Exams: end Yr13
Advanced level (OCR), usually taken from ages 16-18 years
Year 12 - mechanics, electrons waves, photons. Year 13 - Newtonian, Fields & particles. Exams at end of year 13
Year 10/11 maths: Calculating gradients for speed and distance travelled from area under graph.
This graph shows how an objects distance changes with time.
The gradient of the graph tells you the velocity or speed (m/s)
A velocity is a speed in a certain direction
Part A of the graph shows a velocity of 15m/5s = 3m/s
Q1: What velocity is shown by parts B, C and D?
ANS
B: 5m/10s = ½ m/s
C: stopped
D: –20m/10s = –2m/s (Slowing down)
This curved graph shows the distance a person travels in 30 seconds.
Q1: Work out the gradient at time = 15
Q2: Explain what the gradient of this tangent tells you about the person.
Q1: Draw a tangent to curve at time=15.
Gradient = △ y ÷ △ x = 0.4m/s
Q2:The gradient is the distance travelled in the time and is the speed of the person.
The person is changing speed with time because the gradient is changing.
So a curve distance time graph shows an acceleration or deceleration.
This graph is often called a speed time graph.
It shows how velocity changes with time.
The gradient of the graph is the acceleration, m/s^{2}
Part A of the graph shows an acceleration of 15ms/5s = 3m/s^{2}
Q1: What acceleration is shown by parts B and C?
Q2: What is the distance travelled
ANS
Q1: B: Not accelerating - constant velocity of 20m/s
C: –20m/s/10s = –2ms^{2} (decelerating)
Q2: the distance travelled is the Area under the graph.
This is a trapezium. Area = height × (average of top and bottom lengths)
Area = 20 × (30+5)/2 = 350m
This curved graph shows how the velocity of a car changes over 30 seconds.
Q1: Work out the gradient at time = 10
Q2: Explain what the gradient of this tangent tells you about the car.
Q3: How would you work out the distance travelled in 15 seconds
ANS
Q1: Draw a tangent to curve at time=10.
Gradient = △ y ÷ △ x = 0.8m/s^{2}
Q2:The gradient is the change in velocity, which is the acceleration of the car.
The car is changing acceleration with time because the gradient is changing.
Q3: To work out the distance travelled, make 3 trapezium strips.
Each strip is 5 seconds wide.
Average the two heights of each trapezium, then work out the area.
The area will be an under estimate.
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