Work with radicals and integer exponents.
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8.EE.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions.
8.EE.2 Use square root and cube root symbols to represent solutions to equations.
8.EE.3 Use numbers expressed in scientific notation to estimate very large or very small quantities, and to express how many times as much one is than the other.
Beginner
Bug Expert (Write Numbers in Scientific Notation)
Alberto, an entomologist at the Global Insect Research Center in California, has been given the task to estimate the populations of insects around the world to better understand how changes in climate, habitat, and human activity are affecting insect populations.
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Intermediate
Solar System (How many times larger with Scientific Notation)
Nia and her dad are building a model of the solar system to scale. They decide to use a golf ball to represent Earth. Now they need to determine how large each of the other planets should be so that their model accurately represents the relative sizes of the planets.
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Intermediate
World Bank (How many times larger with Scientific Notation)
The World Bank is an international financial institution that provides loans and grants to the governments of low—and middle-income countries to pursue capital projects. James, a data analyst at the World Bank, has been tasked with calculating the GDP per capita for a list of countries and making a list ranking these countries.
Extension: Use the average GDP for the world since 1998.
8.EE.4 Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used.
Sunlight (Operations with Scientific Notation)
Nia knows that the light that we are looking at from the Sun takes time to get to Earth. How long does the light take to get here? And are we, therefore, looking into the past?
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Beginner
Tree Count (Operations with Scientific Notation)
Beginner
Water Drops (Operations with Scientific Notation)
Understand the connections between proportional relationships, lines, and linear equations.
8.EE.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.
8.EE.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
Intermediate
Ski Lift (Slope of a Line)
The initial plans for the new ski lift are complete, but we need to do some last-minute calculations. The ski lift's incline or gradient cannot exceed 0.275. James and Nia are leading the team that will make the last-minute adjustments. You must check all the sections and ensure they are safe; if not, how do we fix them?
Analyze and solve linear equations and pairs of simultaneous linear equations.
8.EE.7 Solve linear equations in one variable.
Beginner
Butcher (Solving Linear Equations)
James has a new job at a butcher shop. Andrew has set up some weighing challenges in the back of the shop to prepare for it. The question James has to answer is: What is the weight of the ham in each setup?
The Italian Job
Pirates
8.EE.8 Analyze and solve pairs of simultaneous linear equations.
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