Math Level 7C
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Lesson 1: How probabilities are used to represent the likelihood of a result of an experiment or a real-world event
Quiz: Lesson 1
Mini Challenge: Lesson 1
Worksheet: Lesson 1
Lesson 2: Sample space as a set that contains all possible outcomes of an experiment
Worked Out Example: Lesson 2
Quiz: Lesson 2
Mini Challenge: Lesson 2
Worksheet: Lesson 2
Lesson 3: Distinguish between a discrete sample space and a continuous sample space
Quiz : Lesson 3
Mini Challenge: Lesson 3
Worksheet : Lesson 3
Lesson 4: Using appropriate notation and terminology pertaining to sets and set theory
Worked Out Example: Lesson 4
Quiz: Lesson 4
Game Time! Find the sample space
Game Time! Find the sample space
Game Time! Find the discrete sample spaces
Mini Challenge: Lesson 4
Worksheet: Lesson 4
Lesson 5A: Using probability formulas to complement visual problem-solving methods
Worked Out Example: Lesson 5A
Quiz: Lesson 5A
Mini Challenge: Lesson 5A
Worksheet: Lesson 5A
Lesson 5B: Using probability formulas to complement visual problem-solving methods
Quiz: Lesson 5B
Mini Challenge: Lesson 5B
Worksheet: Lesson 5B
Lesson 6: Determining the theoretical probability, P (i.e., a value from 0 to 1), of each outcome of a discrete sample space
Worked Out Example: Lesson 6
Quiz: Lesson 6
Mini Challenge: Lesson 6
Worksheet: Lesson 6
Lesson 7: Determining the complement of an event
Worked Out Example: Lesson 7
Quiz: Lesson 7
Game Time! Fill in the blanks
Mini Challenge: Lesson 7
Worksheet: Lesson 7
Lesson 8: Recognizing that the probabilities P form the probability distribution associated with the sample space
Worked Out Example: Lesson 8
Quiz: Lesson 8
Game Time! Find the probability function
Mini Challenge: Lesson 8
Worksheet: Lesson 8
Lesson 9: Recognizing and describing an event as a set of outcomes and as a subset of a sample space
Worked Out Example: Lesson 9
Quiz: lesson 9
Mini Challenge: Lesson 9
Worksheet: lesson 9
Lesson 10: Solve theoretical probability problems
Worked Out Example: Lesson 10
Quiz: lesson 10
Game Time! Fill in the blanks
Mini Challenge: Lesson 10
Worksheet: Lesson 10
Lesson 11: The difference (and connection) between experimental and theoretical probability
Worked Out Example: Lesson 11
Quiz: Lesson 11
Mini Challenge: Lesson 11
Worksheet: Lesson 11
Lesson 12: Determining the tendency of experimental probability to approach theoretical probability as the number of trials in an experiment increases
Quiz: Lesson 12
Mini Challenge: Lesson 12
Worksheet:Lesson 12
Lesson 13: Reflecting on the role of probability in predictions and decision making
Quiz: Lesson 13
Mini Challenge: Lesson 13
Worksheet: Lesson 13
Lesson 14: When and how to use Venn diagrams as an aid to problem solving
Worked Out Example: Lesson 14
Quiz: Lesson 14
Game Time! Drag and drop
Mini Challenge:Level 7c: Lesson 14
Worksheet: Lesson 14
Lesson 16: Constructing tree diagrams as a aid to problem solving
Worked Out Example: Lesson 16
Quiz: Lesson 16
Mini Challenge: Lesson 16
Worksheet: Lesson 16
Lesson 17: Investigating connections between various ways of approaching problems (diagrams, formulas) and judging which is best
Worked Out Example: Lesson 17
Quiz: Lesson 17
Game Time! Fill in the blanks
Mini Challenge: Lesson 17
Worksheet: lesson 17
Lesson 18: Distinguishing between concepts of mutual exclusiveness and independence
Worked Out Example: Lesson 18
Quiz: Lesson 18
Mini Challenge: Lesson 18
Worksheet: Lesson 18
Lesson 19: Determining whether two or more events are mutually exclusive or non-mutually exclusive
Worked Out Example: Lesson 19
Quiz: lesson 19
Game Time! Find the independent events
Game Time! Find the mutually exclusive events
Mini Challenge: Lesson 19
Worksheet: Lesson 19
Lesson 20: Solving related probability problems [e.g., calculate P(~A), P(A and B), P(A or B)] using a variety of strategies (e.g., Venn diagrams, lists, formulas)
Worked Out Example: Lesson 20
Quiz: Lesson 20
Mini Challenge: Lesson 20
Worksheet: Lesson 20
Lesson 21: Understanding and applying the symbols and criteria for independent and dependent events
Worked Out Example: Lesson 21
Quiz: lesson 21
Game Time! True or false
Mini Challenge: Lesson 21
Worksheet: Lesson 21
Lesson 26: Calculating and using conditional probabilities in simple cases
Worked Out Example: Lesson 26
Quiz: Lesson 26
Mini Challenge: Lesson 26
Worksheet: Lesson 26
Lesson 27: Probability of simple combined events (including using possibility diagrams and tree diagrams, where appropriate)
Worked Out Example: Lesson 27
Quiz: Lesson 27
Game Time! Fill in the blanks
Mini Challenge: Lesson 27
Worksheet: lesson 27
Lesson 29: Understanding the terms permutation and combination
Worked Out Example: Lesson 29
Quiz: level 7c Probability: Lesson 29
Mini Challenge: Lesson 29
Worksheet: Lesson 29
Lesson 30A: Recognizing the use of permutations and combinations as counting (Part 1)
Worked Out Example: Lesson 30A
Quiz: Lesson 30A
Mini Challenge: Lesson 30A
Worksheet: Lesson 30A
Lesson 30B: Recognizing the use of permutations and combinations as counting (Part 2)
Worked Out Example: Lesson 30B
Quiz: Lesson 30B
Mini Challenge: Lesson 30B
Worksheet: Lesson 30B
Lesson 37: Solving problems about arrangements of objects in a line, including those involving repetition and restriction
Worked Out Example: Lesson 37
Quiz: Lesson 37
Game Time! Drag and drop
Mini Challenge: Lesson 37
Worksheet: lesson 37
Lesson 38: Solving introductory counting problems involving the additive counting principle
Worked Out Example: Lesson 38
Quiz: Lesson 38
Mini Challenge: Lesson 38
Worksheet: Lesson 38
Lesson 39: Solving introductory counting problems involving the multiplicative counting principle
Worked Out Example: Lesson 39
Quiz: level 7c Probability: Lesson 39
Mini Challenge: Lesson 39
Worksheet: Lesson 39
Lesson 40: Addition and multiplication of probabilities (mutually exclusive events and independent events)
Worked Out Example: Lesson 40
Quiz: Lesson 40
Mini Challenge: Lesson 40
Worksheet: Lesson 40
Lesson 41: Using addition and multiplication of probabilities in simple cases
Worked Out Example: Lesson 41
Quiz: lesson 41
Game Time! Fill in the blanks
Mini Challenge: Lesson 41
Worksheet: Lesson 41
Lesson 43: Making connections, through investigation, between combinations (i.e., n choose r) and Pascal’s triangle
Worked Out Example: Lesson 43
Quiz: Lesson 43
Mini Challenge: Lesson 43
Game Time! Memory Game
Game Time! Drag and Drop
Game Time! Question Set
Worksheet: Lesson 43
Lesson 1: Calculating and interpreting z-scores
Worked Out Example: Lesson 1
Quiz: Lesson 1
Mini Challenge: Lesson 1
Lesson 2: Recognizing a z-score as the positive or negative number of standard deviations from the mean to a value of the continuous random variable, and solve probability problems involving normal distributions
Worked Out Example: Lesson 2
Quiz: Lesson 2
Game Time! Dialog Cards
Mini Challenge: Lesson 2
Lesson 3: Understanding the concept of a continuous random variable versus discrete random variable
Quiz: Lesson 3
Mini Challenge: Lesson 3
Lesson 4: Identifying a discrete random variable X
Quiz: Lesson 4
Game Time! Find the right sample spaces
Game Time! Find the discrete random variables
Mini Challenge: Lesson 4
Lesson 5: Generating a probability distribution by calculating the probabilities associated with all values of a random variable
Worked Out Example: Lesson 5
Quiz: Lesson 5
Mini Challenge: Lesson 5
Lesson 6: Creating a probability distribution table and probability distribution histogram
Worked Out Example: Lesson 6
Quiz: Lesson 6
Game Time! Drag and drop
Mini Challenge: Lesson 6
Lesson 7: Calculating weighted average
Worked Out Example: Lesson 7
Quiz: Lesson 7
Mini Challenge: Lesson 7
Lesson 8: Calculating the expected value for a given probability distribution and interpret the expected value in applications
Worked Out Example: Lesson 8
Quiz: Lesson 8
Game Time! Fill in the blanks
Mini Challenge: Lesson 8
Lesson 11: Making connections between the frequency histogram and the probability histogram
Quiz: Lesson 11
Mini Challenge: Lesson 11
Lesson 12: Recognizing conditions that give rise to a random variable that follows a binomial probability distribution
Worked Out Example: Lesson 12
Quiz: Lesson 12
Mini Challenge: Lesson 12
Lesson 13: Representing the binomial distribution numerically using a table and graphically using a probability histogram
Worked Out Example: Lesson 13
Quiz: Lesson 13
Game Time! Fill in the blanks
Mini Challenge: Lesson 13
Lesson 14: Recognizing conditions that give rise to a random variable that follows a hypergeometric probability distribution(Jingda: had trouble downloading video)
Worked Out Example: Lesson 14
Quiz: Lesson 14
Mini Challenge: Lesson 14
Lesson 15: Representing the hypergeometric distribution numerically using a table and graphically using a probability histogram
NO Quiz: Lesson 15
Mini Challenge: Lesson 15
Lesson 16: Comparing with technology and using numeric and graphical representations, the probability distributions of discrete random variables
NO Quiz: Lesson 16
NO Mini Challenge: Lesson 16
Lesson 17: Solving problems involving probability distributions
Worked Out Example: Lesson 17
Quiz: Lesson 17
Game Time! Fill in the blanks
Mini Challenge: Lesson 17
Lesson 18: Drawing up a probability distribution table relating to a given situation involving a discrete random variable X, and calculate E(X) and Var(X)
Worked Out Example: Lesson 18
Quiz: Lesson 18
Game Time! Fill in the blanks
Mini Challenge: Lesson 18
Lesson 19&20: Binomial distribution
Quiz: Lesson 19&20
Mini Challenge: Lesson 19&20
Lesson 21: Making connections between patterns in Pascal’s triangle and coefficients in binomial expansions
Quiz: Lesson 21
Mini Challenge: Lesson 21
MERGED Quiz: Lesson 22
Game Time! Dialog Cards
MERGED Mini Challenge: Lesson 22
Lesson 23: Using the binomial theorem to solve problems involving binomial expansions
Worked Out Example: Lesson 23
Quiz: Lesson 23
Mini Challenge: Lesson 23
Lesson 24: Using the GDC to calculate probability, expected value, standard deviation in binomial experiments
NO Quiz: Lesson 24
NO Mini Challenge: Lesson 24
Lesson 36: Understanding the concept of a continuous random variable, and recall and use properties of a probability density function
Quiz: Lesson 36
Mini Challenge: Lesson 36
Lesson 37: Mean, median, variance of continuous random variables and how to find percentiles
Worked Out Example: Lesson 37
Quiz: Lesson 37
Game Time! Question set
Mini Challenge: Lesson 37
Lesson 25: Normal (Gaussian) distribution
Quiz: Lesson 25
Game Time! Crossword
Mini Challenge: Lesson 25
Lesson 26: The Poisson Distribution
Quiz: Lesson 26
Mini Challenge: Lesson 26
Lesson 29: Understanding the relevance of the Poisson distribution to the distribution of random events, and use the Poisson distribution as a model
Quiz: Lesson 29
Mini Challenge: Lesson 29
Lesson 27: Use formulae to calculate probabilities for the distribution Po (ƛ)
Worked Out Example: Lesson 27
Quiz: Lesson 27
Game Time! Fill in the blanks
Mini Challenge: Lesson 27
Lesson 30: Using the Poisson distribution as an approximation to the binomial distribution where appropriate
Quiz: Lesson 30
Game Time! Drag and Drop
Mini Challenge: Lesson 30
Lesson 31: Using the normal distribution, with continuity correction, as an approximation to the Poisson distribution where appropriate
Quiz: Lesson 31
Game Time! Drag the Words
Mini Challenge: Lesson 31
Lesson 32: Central limit theorem
Quiz: Lesson 32
Game Time! Drag the Words
Mini Challenge: Lesson 32
Lesson 33: Using simulation software to explore sampling distributions
NO Quiz: Lesson 33
NO Mini Challenge: Lesson 33
Lesson 35: Calculating unbiased estimates of the population mean and variance from a sample, using either raw or summarised data
Quiz: Lesson 35
Game Time! Dialog Cards
NO Mini Challenge: Lesson 35
Lesson 42A: Calculating and using the mean and standard deviation of a set of data either from the data itself or from given totals 𝛴x and 𝛴x^2, or coded totals 𝛴(x-a) and 𝛴(x-a)^2
Quiz: Lesson 42A
Mini Challenge: Lesson 42A
Lesson 42B: Calculating and using the mean and standard deviation of a set of data either from the data itself or from given totals 𝛴x and 𝛴x^2, or coded totals 𝛴(x-a) and 𝛴(x-a)^2
Quiz: Lesson 42B
Mini Challenge: Lesson 42B
Lesson 42C: Calculating and using the mean and standard deviation of a set of data either from the data itself or from given totals 𝛴x and 𝛴x^2, or coded totals 𝛴(x-a) and 𝛴(x-a)^2
Quiz: Lesson 42C
Game Time! Crossword
Mini Challenge: Lesson 42C
Lesson 43: Describing challenges associated with determining a continuous frequency distribution and recognize the need for mathematical models to represent continuous frequency distributions
Quiz: Lesson 43
NO Mini Challenge: Lesson 43
Lesson 44: Representing, using intervals, a sample of values of a continuous random variable numerically using a frequency table
Quiz: Lesson 44
Game Time! Sort the Paragraphs
Mini Challenge: Lesson 44
Lesson 45: Interpretation of data as a boxplot
Quiz: Lesson 45
Game Time! Crossword
NO Mini Challenge: Lesson 45
Lesson 46: Recognizing that theoretical probability for a continuous random variable is determined over a range of values
Quiz: Lesson 46
Mini Challenge: Lesson 46
Lesson 47: Recognizing that the probability that a continuous random variable takes any single value is zero(No video found)
Quiz: Lesson 47
Game Time! Drag the Words
Mini Challenge: Lesson 47
Lesson 48: Recognizing that the frequency polygon approximates the frequency distribution, and determine, through investigation using technology
Quiz: Lesson 48
Mini Challenge: Lesson 48
Lesson 49: Comparing the effectiveness of the frequency polygon as an approximation of the frequency distribution for different sizes of the intervals(Jingda: had trouble downloading video)
NO Quiz: Lesson 49
Game Time! Image choice
NO Mini Challenge: Lesson 49
Lesson 51: Describing properties of the normal distribution, and recognize and describe situations that can be modelled using the normal distribution(No video)
Quiz: Lesson 51
NO Mini Challenge: Lesson 51
Lesson 53: Recognizing that the normal distribution is commonly used to model the frequency and probability distributions of continuous random variables (CTL)
Quiz: Lesson 53
Game Time! Drag the Words
NO Mini Challenge: Lesson 53
Lesson 54: Understanding the use of a normal distribution to model a continuous random variable, and using normal distribution tables (CLT problems)
Game Time! Find the probability
Quiz: Lesson 54
NO Mini Challenge: Lesson 54
Lesson 55: Understanding the parameters of the standard normal distribution
Quiz: Lesson 55
NO Mini Challenge: Lesson 55
Lesson 56: Solve problems concerning a variable X, where X~ N(𝞵,)and find the value of P(X>x1) or a related probability given the values of x1, 𝞵, σ)
Quiz: Lesson 56
Mini Challenge: Lesson 56
Worksheet: Lesson 56
Lesson 57: Calculating probabilities for normal distributions
Quiz: Lesson 57
Game Time! Fill in the blanks
Mini Challenge: Lesson 57
Worksheet: Lesson 57
Lesson 58: Finding the value of x that corresponds with a probability for a normal distribution
Quiz: Lesson 58
Game Time! Drag and drop
Mini Challenge: Lesson 58
Worksheet: Lesson 58
Lesson 59: Solving real world-problems involving normal distributions
Quiz: Lesson 59
Game Time! Drag and drop
Mini Challenge: Lesson 59
Worksheet: Lesson 59
Lesson 60: Using formulas for probabilities for the binomial and geometric distributions
Quiz: Lesson 60
Mini Challenge: Lesson 60
Worksheet: Lesson 60
Lesson 61: Practical situations where binomial and geometric distributions are suitable models
Quiz: Lesson 61
Mini Challenge: Lesson 61
Worksheet: Lesson 61
Lesson 62: Using formulas for the expectation and variance of the binomial distribution and for the expectation of the geometric distribution
Quiz: Lesson 62
Game Time! Question set
Mini Challenge: Lesson 62
Worksheet: Lesson 62
Lesson 63A: Making connections between the normal distribution and the binomial and hypergeometric distributions for increasing numbers of trials of the discrete distributions
Quiz: Lesson 63A
NO Mini Challenge: Lesson 63A
Worksheet: Lesson 63A
Lesson 63B: Making connections between the normal distribution and the binomial and hypergeometric distributions for increasing numbers of trials of the discrete distributions(No video)
Quiz: Lesson 63B
Mini Challenge: Lesson 63B
Worksheet: Lesson 63B
Lesson 64: Recalling conditions under which the normal distribution can be used as an approximation to the binomial distribution, and use this approximation, with a continuity correction, in solving problems
Quiz: Lesson 64
Game Time! Fill in the blanks
Mini Challenge: Lesson 64
Worksheet: Lesson 64
Lesson 65: Joint Probability Distributions
Quiz: Lesson 65
Game Time! Drag and drop
Mini Challenge: Lesson 65
Game Time! Crossword
Game Time! Flip and Learn
Worksheet: Lesson 65
Lesson 1: Reviewing Terminology
Quiz: Lesson 1
Game Time! Drag and Drop
Mini Challenge: Lesson 1
Lesson 2: Understanding the difference between types of bias: sampling and statistical
Quiz: Lesson 2
Game Time! Drag the Words
Mini Challenge: Lesson 2
Lesson 3: Explaining in simple terms why a given sampling method may be unsatisfactory
Quiz: Lesson 3
Game Time! Drag and Drop
Mini Challenge: Lesson 3
Lesson 4: Explaining the distinction between the terms population and sample
Quiz: Lesson 4
Mini Challenge: Lesson 4
Lesson 5: Comparing sampling techniques
Quiz: Lesson 5
Mini Challenge: Lesson 5
Lesson 6: How the use of random samples with a bias or the use of non-random samples can affect the results of a study
Quiz: Lesson 6
Game Time! Dialog Cards
Mini Challenge: Lesson 6
Lesson 7: Characteristics of an effective survey and design questionnaires or experiments for gathering data
Quiz: Lesson 7
Mini Challenge: Lesson 7
Lesson 8: Collecting data from primary sources, through experimentation, or from secondary sources
Quiz: Lesson 8
Mini Challenge: Lesson 8
Lesson 9: Organizing data with one or more attributes to answer a question or solve a problem
Quiz: Lesson 9
Game Time! Drag the Words
Mini Challenge: Lesson 9
Lesson 10: Reasons why variability is inherent in data
Quiz: Lesson 10
Game Time! Drag the Words
Mini Challenge: Lesson 10
Lesson 11: Distinguishing between situations that involve one variable and situations that involve more than one variable
Quiz: Lesson 11
Mini Challenge: Lesson 11
Lesson 12: Recognizing types of data: qualitative vs. quantitative, continuous vs. discrete
Quiz: Lesson 12
Mini Challenge: Lesson 12
Lesson 14A: Distinguishing different types of statistical data and give examples
Quiz: Lesson 14A
Mini Challenge: Lesson 14A
Lesson 14B: Distinguishing different types of statistical data and give examples
Quiz: Lesson 14B
Game Time! Drag and Drop
NO Mini Challenge: Lesson 14B
Lesson 15: Observational studies
Quiz: Lesson 15
Mini Challenge: Lesson 15
Lesson 16: Limitations of Observational Studies
Quiz: Lesson 16
Mini Challenge: Lesson 16
Lesson 17: Designing an observational study to explore an appropriate research question
NO Quiz: Lesson 17
Game Time! Drag the Words
Mini Challenge: Lesson 17
Lesson 18: Determining and describing principles of primary data collection and criteria that should be considered in order to collect reliable primary data
Quiz: Lesson 18
Game Time! Image Hotspots
Mini Challenge: Lesson 18
Lesson 19: Experimental Studies
Quiz: Lesson 19
Mini Challenge: Lesson 19
Lesson 20: Limitations of Experimental Studies
Quiz: Lesson 20
Game Time! Drag the Words
Mini Challenge: Lesson 20
Lesson 21: Purposes and uses, advantages and disadvantages of the different forms of statistical representations
Quiz: Lesson 21
Game Time! Image Hotspots
Mini Challenge: Lesson 21
Lesson 1: Presenting data using a variety of methods: frequency table, relative frequency table, grouped frequency table
Worked Out Example: Lesson 1
Quiz: Lesson 1
Mini Challenge: Lesson 1
Worksheet: Lesson 1
Lesson 2: Drawing and interpreting bar graph
Quiz: Lesson 2
Mini Challenge: Lesson 2
Worksheet: Lesson 2
Lesson 3: Drawing and interpreting stem-and-leaf diagrams
Worked Out Example: Lesson 3
Quiz: Lesson 3
Mini Challenge: Lesson 3
Worksheet: Lesson 3
Lesson 4 : Drawing and interpreting box and-whisker plots
Worked Out Example: Lesson 4
Quiz: Lesson 4
Mini Challenge: Lesson 4
Lesson 5: Drawing and interpreting frequency histograms
Worked Out Example: Lesson 5
Quiz: Lesson 5
Mini Challenge: Lesson 5
Worksheet: Lesson 5
Lesson 6A: Drawing and interpreting cumulative frequency graphs
Worked Out Example: Lesson 6A
Quiz: Lesson 6A
Mini Challenge: Lesson 6A
Worksheet: Lesson 6A
Lesson 6B: Back to back stem and leaf plots
Quiz: Lesson 6B
NO Mini Challenge: Lesson 6B
Game Time! Drag and Drop
Lesson 7: Analyzing one-variable data
Quiz: Lesson 7
Mini Challenge: Lesson 7
Lesson 8: Calculating mean, median, mode for data in frequency tables or grouped data
Quiz: Lesson 8
Mini Challenge: Lesson 8
Worksheet: Lesson 8
Lesson 9: Calculating range, quartile, interquartile range and standard deviation as measures of spread for a set of data
Quiz: Lesson 9
Mini Challenge: Lesson 9
Worksheet: Lesson 9
Lesson 10: Calculating the standard deviation for a set of data
Quiz: Lesson 10
Mini Challenge: Lesson 10
Worksheet: Lesson 10
Lesson 11: Using the GDC to find variance and standard deviation for grouped and ungrouped data
Quiz: Lesson 11
Mini Challenge: Lesson 11
Worksheet: Lesson 11
Lesson 13: Using the mean and standard deviation to compare two sets of data
Quiz: Lesson 13
Mini Challenge: Lesson 13
Worksheet: Lesson 13
Lesson 14: Identifying outliers and drawing modified boxplots
Quiz: Lesson 14
Mini Challenge: Lesson 14
Worksheet: Lesson 14
Game Time! Hot Spot
Lesson 17: Solving problems involving percentiles
Quiz: Lesson 17
Mini Challenge: Lesson 17
Worksheet: Lesson 17
Lesson 18: Understanding the effects of constant changes on measures of spread
Quiz: Lesson 18
Mini Challenge: Lesson 18
Worksheet: Lesson 18
Lesson 20: Using the normal distribution to model suitable one variable data sets, and recognize these processes as strategies for one-variable data analysis
Quiz: Lesson 20
Mini Challenge: Lesson 20
Lesson 21: Generating the relevant graphical summaries of one-variable data based on the type of data provided
Quiz: Lesson 21
Mini Challenge: Lesson 21
Worksheet: Lesson 21
Lesson 22: Determining which measure of central tendency should be used
Quiz: Lesson 22
Mini Challenge: Lesson 22
Worksheet: Lesson 22
Lesson 23: Interpreting, for a normally distributed population, the meaning of a statistic qualified by a statement describing the margin of error and the confidence level
Quiz: Lesson 23
Mini Challenge: Lesson 23
Worksheet: Lesson 23
Lesson 25: Role of statistical thinking in research and the scientific method
Quiz: Lesson 25
Mini Challenge: Lesson 25
Game Time! Drag the Words
Lesson 27: Understanding the nature of a hypothesis test
Quiz: Lesson 27
Mini Challenge: Lesson 27
Lesson 28: Understanding the difference between one-tailed and two-tailed tests
Quiz: Lesson 28
Mini Challenge: Lesson 28
Lesson 30: Formulating hypotheses and carry out a hypothesis test in the context of a single observation from a population which has a binomial or Poisson distribution
Quiz: Lesson 30
Mini Challenge: Lesson 30
Lesson 32: Formulating hypotheses and carry out a hypothesis test concerning the population mean in cases where the population is normally distributed with known variance or where a large sample is used
Quiz: Lesson 32
Mini Challenge: Lesson 32
Worksheet: Lesson 32
Lesson 33: Understanding the terms Type I error and Type II error in relation to hypothesis tests
Quiz: Lesson 33
NO Mini Challenge: Lesson 33
Game Time! Image Sequence
Lesson 34: Understanding that E( x bar) = 𝞵 and that Var (x bar) = σ2/n.
Quiz: Lesson 34
Mini Challenge: Lesson 34
Lesson 35: Determining and interpreting a confidence interval for a population mean in cases where the population is normally distributed with known variance or where a large sample is used
Quiz: Lesson 35
Mini Challenge: Lesson 35
Worksheet: Lesson 35
Lesson 36: Determining, from a large sample, an approximate confidence interval for a population proportion
Quiz: Lesson 36
NO Mini Challenge: Lesson 36
Lesson 37: Interpreting statistical summaries to describe the characteristics of a one-variable data set and to compare two related one-variable data sets
Quiz: Lesson 37
Mini Challenge: Lesson 37
Worksheet: Lesson 37
Lesson 38: Describing how statistical summaries can be used to misrepresent one-variable data
Quiz: Lesson 38
Mini Challenge: Lesson 38
Lesson 39: Making inferences, and make and justify conclusions, from statistical summaries of one-variable data orally and in writing, using convincing arguments
Quiz: Lesson 39
NO Mini Challenge: Lesson 39
Game Time! Drag and Drop
Lesson 40A: Recognizing that the analysis of two-variable data involves the relationship between two attributes
Quiz: Lesson 40A
NO Mini Challenge: Lesson 40A
Worksheet: Lesson 40A
Lesson 42: Association between two categorical variables: contingency tables — clustered, stacked bar charts
Quiz: Lesson 42
Mini Challenge: Lesson 42
Lesson 43: Association between two quantitative variables: scatterplots
Quiz: Lesson 43
Mini Challenge: Lesson 43
Worksheet: Lesson 43
Lesson 44: Association between two variables: correlation and causation
Quiz: Lesson 44
Mini Challenge: Lesson 44
Worksheet: Lesson 44
Game Time! Memory Game
Lesson 49: Using linear combinations of random variables when solving problems that result in E(aX + b) = aE(X) + b and Var(aX + b) = a^2Var(X)
Quiz: Lesson 49
Mini Challenge: Lesson 49
Worksheet: Lesson 49
Lesson 50: Using linear combinations of random variables when solving problems that result in E(aX + bY) = aE(X) + bE(Y)
Quiz: Lesson 50
Mini Challenge: Lesson 50
Worksheet: Lesson 50
Lesson 51A: Covariance of X and Y
Quiz: Lesson 51A
Mini Challenge: Lesson 51A
Lesson 51B: Using linear combinations of random variables when solving problems that result in Var(aX + bY) = a²Var(X) + b²Var(Y) for independent X and Y
Quiz: Lesson 51B
Mini Challenge: Lesson 51B
Worksheet: Lesson 51B
Lesson 52: Linear combinations aX + b of a normally distributed variable
Quiz: Lesson 52
Mini Challenge: Lesson 52
Lesson 53: Linear combinations aX + bY of two normally distributed variables
Quiz: Lesson 53
Mini Challenge: Lesson 53
Lesson 54: Using linear combinations of random variables when solving problems if X and Y have independent Poisson distributions then X + Y has a Poisson distribution
Quiz: Lesson 54
NO Mini Challenge: Lesson 54
Worksheet: Lesson 54
Game Time! Memory Game
Lesson 55: Strategies for two-variable data analysis
Quiz: Lesson 55
Mini Challenge: Lesson 55
Lesson 56: Drawing and interpreting cumulative frequency graphs and polygons
Quiz: Lesson 56
Mini Challenge: Lesson 56
Lesson 57: Using a cumulative frequency graph
Quiz: Lesson 57
Mini Challenge: Lesson 57
Lesson 58: Analysis and interpretation of cumulative frequency diagrams
Quiz: Lesson 58
NO Mini Challenge: Lesson 58
Lesson 59: Analysis and interpretation of cumulative frequency box-and-whisker plots
Quiz: Lesson 59
Mini Challenge: Lesson 59
Lesson 60: Interpreting statistical summaries to describe the characteristics of a two variable data set and to compare two related two-variable data sets
Quiz: Lesson 60
Mini Challenge: Lesson 60
Worksheet: Lesson 60
Lesson 61: Describing how statistical summaries can be used to misrepresent two-variable data;
Quiz: Lesson 61
NO Mini Challenge: Lesson 61
Worksheet lesson 61
Lesson 62: Making inferences and justifying conclusions, from statistical summaries of two-variable data
Quiz: Lesson 62
NO Mini Challenge: Lesson 62
Lesson 63: Interpreting statistics presented in the media and explain how the media, the advertising industry, and others use and misuse statistics to promote a certain point of view
Quiz: Lesson 63
Mini Challenge: Lesson 63
Game Time! Image Sequencing
Lesson 1: Justifying a claim based on a confidence interval for a population proportion
Quiz: Lesson 1
Mini Challenge: Lesson 1
Worksheet: Level 7c: Inference for categorical data: Proportions Lesson 1
Lesson 2: Setting up a test for a population proportion
Quiz: Lesson 2
Mini Challenge: Lesson 2
Lesson 3: Interpreting P-Values
Quiz: Lesson 3
Mini Challenge: Lesson 3
Lesson 4: Concluding a test for a population proportion
Quiz: Lesson 4
Mini Challenge: Lesson 4
Worksheet: Level 7c: Inference for categorical data: Proportions Lesson 4
Lesson 5: Potential errors when performing tests
Quiz: Lesson 5
Mini Challenge: Lesson 5
Worksheet: Level 7c: Inference for Categorical data: Proportions Lesson 5
Lesson 6: Confidence intervals for the difference of two proportions
Quiz: Lesson 6
Mini Challenge: Lesson 6
Worksheet: Level 7c: Inference for Categorical data: Proportions Lesson 6
Lesson 7: Justifying a claim based on a confidence interval for a difference of population proportions
Quiz: Lesson 7
Mini Challenge: Lesson 7
Lesson 8: Setting up a test for the difference of two population proportions
Quiz: Lesson 8
Mini Challenge: Lesson 8
Lesson 9: Carrying out a test for the difference of two population proportions
Quiz: Lesson 9
Mini Challenge: Lesson 9
Worksheet: Level 7c: Inference for Categorical data: Proportions Lesson 9
Game Time! Memory Cards
Lesson 1: Setting up a test for a population mean
Quiz: Lesson 1
Mini Challenge: Lesson 1
Lesson 2: Carrying out a test for a population mean
Quiz: Lesson 2
Mini Challenge: Lesson 2
Worksheet: Level 7c: Inference for Quantitative data: means Lesson 2
Lesson 3: Confidence intervals for the difference of two means
Quiz: Lesson 3
Mini Challenge: Lesson 3
Lesson 4: Justifying a claim about the difference of two means based on a confidence interval
Quiz: Lesson 4
Mini Challenge: Lesson 4
Worksheet: Level 7c: Inference for Quantitative data: mean Lesson 4
Lesson 5: Setting up and carrying out a test for the difference of two population means
Quiz: Lesson 5
Game Time! True or False
Mini Challenge: Lesson 5
Worksheet: Level 7c: Inference for Quantitative data: mean Lesson 5
Lesson 1: Setting up a chi-square goodness of fit test
Quiz: Lesson 1
NO Mini Challenge: Lesson 1
Lesson 2: Carrying out a chi-square test for goodness of fit test
Quiz: Lesson 2
Mini Challenge: Lesson 2
Worksheet: Level 7c: Inference for categorical data Lesson 2
Lesson 3: Expected counts in two-way tables
Quiz: Lesson 3
Game Time! Drag and Drop
Mini Challenge: Lesson 3
Worksheet: Level 7c: Inference for categorical data Lesson 3
Lesson 1: Finding a confidence interval for the slope of a regression model
Quiz: Lesson 1
Mini Challenge: Lesson 1
Worksheet: Level 7c: Inference for Quantitative data Lesson 1
Lesson 3: Setting up a test for the slope of a regression model
Quiz: Lesson 3
Mini Challenge: Lesson 3
Worksheet: Level 7c: Inference for Quantitative data Lesson 3
Lesson 5: Skill focus: selecting an appropriate inference procedure
Game Time! Memory Game
No Quiz: Lesson 5
NO Mini Challenge: Lesson 5
Lesson 1: Sampling Distributions for Sample Proportions
Quiz: Lesson 1
NO Mini Challenge: Lesson 1
Lesson 2: Sampling Distributions for Differences in Sample Proportions
Quiz: Lesson 2
NO Mini Challenge: Lesson 2
Lesson 3: Sampling Distributions for Differences in Sample Means
Quiz: Lesson 3
Game Time! Flip and Learn
NO Mini Challenge: Lesson 3
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Here are answers to some common questions we are asked
This level is designed for kids ages 11-12 in Grades 6 and 7.
These (virtual) programs are designed to be completely self learnt. Students progress through the curriculum using a variety of real world applications that simulate experience, utilize creative thinking, and allow the students to test their knowledge.
You will receive an e-mail as soon as you connect, providing you with a pin and password to access the learning portal. Please keep this information safe. If you need support, you can email hello@explorerhop.com.
It doesn't matter what curriculum you followed, we have surpassed it! Our program includes all aspects of the following curriculums: Canada (Ontario & BC), British Curriculum, International Baccalaureate (IB), Advanced Placement (AP) and Singapore National Curriculum.