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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 › Fractions, decimals, and percentages

    Percents

    Student will learn how to solve percent problems, where the task is to determine the whole, the part, or the percent. Here's an example of finding the whole:

    40% of what number is 80?

    Here's an example of finding the part:

    What is 4% of 110?

    Some finding the part problems can be done mentally. For example:

    What is 15% of 300?

    It's easy to find 10% of 300. That's just 30. So 5% must be half that, 15. Therefore, 15% of 30 must be 30 + 15 = 45. Finally, here's an example of finding the percent:

    What percent of 315 is 126?

    Watch these Khan Academy videos:

    • Finding a percent
    • Percent of a whole number
    • Percent word problem: 100 is what percent of 80?
    • Solving percent problems

    Do these Khan Academy exercises:

    • Equivalent representations of percent problems
    • Finding percents

    Next, give your students these challenges:

    • Overlapping Again by NRICH
    • Math Kangaroo 2016 Levels 7-8 Problem #29 by STEM4all
    • Number Lines by NRICH

    Conclude by leading this investigation:

    Ninja Bed Bugs (multiplication)
    by MathPickle

    7.RP.A.3: Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

    Lessons and practice problems