• Math-

    2nd Semester

    Probability - 15 days

    Develop understanding of statistical variability.
    NC.7.SP.5: Understand that the probability of a chance event is a number between 0 and 1 that
    expresses the likelihood of the event occurring

    NC.7.SP.6:Collect data to calculate the experimental probability of a chance event, observing its long-
    run relative frequency. Use this experimental

    probability to predict the approximate relative frequency.
    NC.7.SP.7: Develop a probability model and use it to find probabilities of simple events.
    a. Develop a uniform probability model by assigning equal probability to all outcomes, and use the
    model to determine probabilities of
    b. Develop a probability model (which may not be uniform) by repeatedly performing a chance process
    and observing frequencies in the
    data generated.
    c. Compare theoretical and experimental probabilities from a model to observed frequencies; if the
    agreement is not good, explain
    possible sources of the discrepancy.
    NC.7.SP.8: Determine probabilities of compound events using organized lists, tables, tree diagrams,
    and simulation.
    a. Understand that, just as with simple events, the probability of a compound event is the fraction of
    outcomes in the sample space for
    which the compound event occurs.
    b. For an event described in everyday language, identify the outcomes in the sample space which
    compose the event, when the sample
    space is represented using organized lists, tables, and tree diagrams.
    c. Design and use a simulation to generate frequencies for compound events.


    Geometry - 25 days 

    Draw, construct, and describe geometrical figures and describe the relationships between
    NC.7.G.2 Understand the characteristics of angles and side lengths that create a unique triangle, more
    than one triangle or no triangle. Build triangles from
    three measures of angles and/or sides.
    DC.7.G.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step
    problem to write and solve equations for an unknown angle in a figure.
    Draw, construct, and describe geometrical figures and describe the relationships between them.
    NC.7.G.6 Solve real-world and mathematical problems involving:
    • Area and perimeter of two-dimensional objects composed of triangles, quadrilaterals, and polygons.
    • Volume and surface area of pyramids, prisms, or three-dimensional objects composed of cubes,
    pyramids, and right prisms.
    Solve real-world and mathematical problems involving angle measure, area, surface area, and
    NC.7.G.4 Understand area and circumference of a circle.
    • Understand the relationships between the radius, diameter, circumference, and area.
    • Apply the formulas for area and circumference of a circle to solve problems.


    Statistics -15 days

    Use random sampling to draw inferences about a population.
    NC.7.SP.1 Understand that statistics can be used to gain information about a population by:
    • Recognizing that generalizations about a population from a sample are valid only if the sample is
    representative of that population.
    • Using random sampling to produce representative samples to support valid inferences.
    NC.7.SP.2 Generate multiple random samples (or simulated samples) of the same size to gauge the
    variation in estimates or predictions, and use this data to
    draw inferences about a population with an unknown characteristic of interest.
    Make informal inferences to compare two populations.
    NC.7.SP.3 Recognize the role of variability when comparing two populations.
    a. Calculate the measure of variability of a data set and understand that it describes how the values of
    the data set vary with a single number.
    o Understand the mean absolute deviation of a data set is a measure of variability that describes the
    average distance that points within a data set are
    from the mean of the data set.
    o Understand that the range describes the spread of the entire data set.
    o Understand that the interquartile range describes the spread of the middle 50% of the data.
    b. Informally assess the difference between two data sets by examining the overlap and separation
    between the graphical representations of two data sets.
    NC.7.SP.4 Use measures of center and measures of variability for numerical data from random
    samples to draw comparative inferences about
    two populations.