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    • ▾7th grade
      • ▸Integers
        • •Adding integers
        • •Subtracting integers
        • •Negative Fibonacci numbers
        • •Distance between two numbers
        • •Multiplying integers
        • •Dividing integers
        • •Equivalent expressions with negative numbers
      • ▸Fractions, decimals, and percentages
        • •Multi-step problems
        • •Percents
        • •Negative signs in fractions
        • •Simplifying complex fractions without variables
        • •Dividing by zero
        • •Converting fractions to decimals
      • ▸Rates and proportional relationships
        • •Rates with fractions
        • •Interpreting graphs of proportional relationships
        • •Constants of proportionality
        • •Writing proportional equations
        • •Solving proportions using equivalent fractions
        • •Solving proportions using inverse operations and by cross multiplying
      • ▸Expressions, equations, and inequalities
        • •Interpreting linear expressions
        • •Solving two-step equations
        • •Mentally solving certain two-step equations
        • •Solving and graphing two-step inequalities
        • •Distributing, factoring, and combining like terms
      • ▸Geometry (grade 7)
        • •Angles around a point
        • •Complementary and supplementary angles
        • •Vertical angles theorem
        • •Finding the midpoint on the number line
        • •Intro to circles and \(\pi\)
        • •Area of an obtuse triangle
        • •Area of a regular polygon
        • •Area, volume, and surface area
        • •Circumference and area of a circle
        • •Volume of extruded figures
        • •Cross sections
        • •Platonic solids
        • •Precursor to the triangle inequality
        • •Scale drawings
      • ▾Statistics and probability (grade 7)
        • •Intro to probability
        • •Simple events
        • •Compound probability of independent events
        • •Comparing distributions
        • •Probability models
        • •Theoretical and experimental probability
        • •Representative samples
     › 7th grade › Statistics and probability (grade 7)

    Simple events

    Start by having your students play this game, or this one, or do this activity. They will learn the same thing regardless of which you choose. Then ask some basic questions, such as what is the probability of rolling a number greater than 3 on a standard dice? Here's such a question.

    Next, students will learn about repeated independent events. For example, how many times would you expect to roll a number less than \(5,\) if you roll \(34\) times?

    Making predictions with probability by Khan Academy

    Making predictions with probability by Khan Academy

    a lesson on that, and here's practice. After that, show your students the probability of winning the lottery. Consider your odds when buying \(1\) ticket or \(n\) tickets. Here's a good video for the \(1\) ticket case. Next, give your students this challenge. After that, give them this one. Finally, show them this video.

    Next, give your students these challenges:

    • 2017 Math Kangaroo Levels 1-2 Problem #16 by STEM4all
    • Fraction Fascination by NRICH

    Conclude by leading this investigation:

    Picasso’s Cuboids (volume puzzle)
    by MathPickle

    Lessons and practice problems