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TOPIC 1:
READING AND INTERPRETING GRAPHS
Lesson 1:
Reading Bar Graphs
- Objective: Learn to interpret bar graphs where
data categories are represented by bars with lengths proportional to their
values.
- Key Concepts: Bar
length, categories, and comparison of values.
- Example: If a bar graph shows the number of
votes each fruit received in a survey, identify which fruit is the most
popular by comparing bar heights.
Lesson 2:
Reading Histograms
- Objective: Understand histograms, which display
frequency distributions of continuous data with adjacent bars representing
data intervals.
- Key Concepts:
Frequency distribution, data intervals, and bar heights.
- Example: Analysing a histogram of student test
scores to determine the score range with the highest frequency.
Lesson 3:
Interpolation and Extrapolation
- Objective: Master the concepts of interpolation
(estimating values within the data range) and extrapolation (estimating
values beyond the data range).
- Key Concepts: Data
trends, estimation methods.
- Example: Using historical sales data to predict
future sales figures.
Lesson 4:
Population Pyramids
- Objective: Learn to read population pyramids which
represent age and gender distribution within a population.
- Key Concepts: Age
groups, gender distribution, demographic trends.
- Example: Analysing a population pyramid to
understand the age distribution and potential future demographic changes.
Lesson 5:
Travel Graphs
- Objective: Interpret graphs that show the
relationship between distance travelled and time, useful for understanding
speed and movement.
- Key Concepts:
Distance-time relationship, speed calculation.
- Example: Analysing a travel graph of a car’s
journey to determine the periods of motion and rest.
TOPIC 2:
STRAIGHT LINE GRAPHS
Lesson 6:
Cartesian Plane
- Objective: Get familiar with the Cartesian plane
for plotting points and drawing graphs.
- Key Concepts:
X-axis, Y-axis, coordinates.
- Example: Plotting the point (3, 2) on a
Cartesian plane.
Lesson 7:
The Gradient
- Objective: Understand the gradient (slope) of a
line as the ratio of the change in y to the change in x.
- Key Concepts:
Slope calculation, steepness.
- Example: Finding the gradient of a line that
passes through the points (1, 2) and (4, 5).
Lesson 8:
Drawing Straight Line Graphs
- Objective: Learn how to draw straight line graphs
using equations or two points.
- Key Concepts: Line
equations, graph plotting.
- Example: Drawing the line for the equation y =
2x + 3.
Lesson 9:
Equation of a Straight Line
- Objective: Understand the equation of a straight
line in the form y = mx + c, where m is the gradient and c are the
y-intercept.
- Key Concepts: Line
equation components, graph interpretation.
- Example: Identifying the line equation for a
line with a slope of 4 and a y-intercept of -2.
TOPIC 3:
PROBABILITIES
Lesson 10:
Basic Concepts of Probability
- Objective: Learn fundamental probability concepts
to measure the likelihood of events occurring.
- Key Concepts:
Probability formula, event likelihood.
- Example: Calculating the probability of rolling
a 4 on a six-sided die.
Lesson 11:
Theoretical Probability
- Objective: Understand theoretical probability
calculated by dividing the number of favourable outcomes by the total
number of possible outcomes.
- Key Concepts: Favourable
outcomes, total outcomes.
- Example: Calculating the probability of getting
heads when flipping a fair coin.
Lesson 12:
Probability of Complementary Events
- Objective: Learn about complementary events where
the sum of probabilities of an event and its complement equals 1.
- Key Concepts:
Complementary events, probability sum.
- Example: If the probability of drawing a red
card is 0.5, then the probability of not drawing a red card is also 0.5.
Lesson 13:
Adding Probabilities
- Objective: Apply the addition rule for mutually
exclusive events, where the probability of either event occurring is the
sum of their probabilities.
- Key Concepts:
Mutually exclusive events, addition rule.
- Example: Finding the probability of drawing
either a king or a queen from a standard deck of cards.
Lesson 14:
Multiplying Probabilities
- Objective: Understand the multiplication rule for
independent events, where the probability of both events occurring is the
product of their individual probabilities.
- Key Concepts:
Independent events, multiplication rule.
- Example: Calculating the probability of rolling
a 2 on a die and flipping a coin to get heads.
Lesson 15:
Union and Intersection of Events
- Objective: Learn the probability concepts of union
(either event occurs) and intersection (both events occur).
- Key Concepts:
Union of events, intersection of events.
- Example: Determining the probability of
selecting a card that is either a spade or a king.
Lesson 16:
Mixed Probability Problems
- Objective: Solve a variety of problems involving
different probability concepts and combined events.
- Key Concepts:
Combined events, conditional probability.
- Example: Finding the probability of drawing two
aces consecutively from a deck of cards without replacement.
TOPIC 4:
SYSTEMS OF EQUATIONS
Lesson 17:
Population and Sample
- Objective: Distinguish between a population (the
whole group) and a sample (a subset of the population) in statistics.
- Key Concepts:
Population definition, sample definition.
- Example: A population could be all students in a
school, while a sample might be a specific group of 50 students selected
for a survey.
Lesson 18:
Sampling Methods
- Objective: Explore different sampling methods
including random, stratified, and systematic sampling.
- Key Concepts:
Sampling techniques, sample representation.
- Example: Using random sampling to choose
participants for a survey on student satisfaction.
Lesson 19:
Survey
- Objective: Understand the design and
implementation of surveys including question creation, sampling methods,
and data collection.
- Key Concepts:
Survey design, data collection methods.
- Example: Designing a survey to gather opinions
on school lunch menus, including creating questions and selecting a
sample.
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