Mathematics
Grade 9
15 min
Interpret pictographs
Interpret pictographs
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1
Introduction & Learning Objectives
Learning Objectives
Interpret the key of a pictograph, including fractional or decimal symbols, to determine the scale.
Calculate the total value for a category by multiplying the number of symbols by the value per symbol.
Perform comparative analysis between categories using ratios and percentages.
Formulate a linear function, y = kx, to model the relationship between the number of symbols and the quantity they represent.
Use pictograph data to calculate measures of central tendency (mean, median, mode) for a data set.
Analyze trends within a pictograph to make reasonable predictions and extrapolations.
How can a few simple pictures represent millions of data points, from global smartphone sales to streaming service subscriptions? π Let's find out!
While pictographs...
2
Key Concepts & Vocabulary
TermDefinitionExample
PictographA type of chart that uses pictures or symbols to represent data. Each symbol corresponds to a specific quantity.A chart showing book sales where each book icon (π) represents 1,000 books sold.
Key (or Legend)An essential part of a pictograph that explains the value of a single symbol.Key: π = 500 electric cars produced.
SymbolThe icon or picture used in a pictograph to represent a quantity of data.In a pictograph about water consumption, the symbol might be a water droplet (π§).
ScaleThe numerical value represented by one symbol in the pictograph's key. This determines the relationship between the symbols and the data.If the key is 'π‘ = 2,500 megawatts', the scale is 2,500 megawatts per symbol.
Categorical DataData that can be sorted into...
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Core Formulas
Total Value Calculation
V = n \times k
To find the total value (V) for any category, multiply the number of symbols (n) by the value per symbol defined in the key (k).
Percentage of Total
P = \frac{V_{category}}{V_{total}} \times 100\%
To find the percentage (P) a specific category represents, divide its value (V_category) by the grand total value of all categories (V_total) and multiply by 100.
Ratio Comparison
Ratio_{A:B} = \frac{V_A}{V_B}
To find the ratio of category A to category B, divide the value of A (V_A) by the value of B (V_B). The result can be expressed as a fraction, decimal, or in a:b format.
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Challenging
A pictograph uses the key π = 40,000 km for distance traveled by a satellite. If a satellite travels 270,000 km in one week, how would this be represented using the pictograph symbols?
A.ππππππ
B.ππππππΒΎ
C.ππππππΒ½
D.ππππππΒΌ
Challenging
A pictograph shows followers gained over 4 weeks with a total of 14 symbols (π€). The original key was π€ = 2,500 followers. If the key is changed to π€ = 4,000 followers, by how much does the mean number of followers per week increase?
A.1,500
B.14,000
C.8,750
D.5,250
Easy
A pictograph uses a star symbol (β) to represent student awards. The key states: β = 20 awards. If a grade level has ββββ symbols, what is the total number of awards?
A.4 awards
B.20 awards
C.80 awards
D.24 awards
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