Search the California Content Standards

Cluster:
Understand and apply the Pythagorean Theorem.

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Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

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Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

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Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

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Investigate patterns of association in bivariate data.

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Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

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Investigate patterns of association in bivariate data.

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Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.

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Investigate patterns of association in bivariate data.

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Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.

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Investigate patterns of association in bivariate data.

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Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. For example, collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores?

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Interpret the structure of expressions. [Quadratic and exponential]

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Interpret expressions that represent a quantity in terms of its context. * Interpret parts of an expression, such as terms, factors, and coefficients. *

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Interpret the structure of expressions. [Quadratic and exponential]

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Interpret expressions that represent a quantity in terms of its context. * Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1 + r)^n as the product of P and a factor not depending on P. *

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Interpret the structure of expressions. [Quadratic and exponential]

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Use the structure of an expression to identify ways to rewrite it. For example, see x^4 – y^4 as (x^2)^2 – (y^2)^2, thus recognizing it as a difference of squares that can be factored as (x^2 – y^2)(x^2 + y^2).

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Write expressions in equivalent forms to solve problems. [Quadratic and exponential]

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Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* Factor a quadratic expression to reveal the zeros of the function it defines.*