📌Data Analysis, Statistics and Probability (7.DSP)15 standards
7.DSP.A.1a
Understand that a sample is a subset of
Understand that a sample is a subset of a population.
7.DSP.A.1b
Understand that generalizations from a sample are valid
Understand that generalizations from a sample are valid only if the sample is representative of the population.
7.DSP.A.1c
Understand that random sampling is used to produce
Understand that random sampling is used to produce representative samples and support valid inferences.
7.DSP.A.2
Use data from multiple samples to draw inferences
Use data from multiple samples to draw inferences about a population and investigate variability in estimates of the characteristic of interest.
7.DSP.B.3
Analyze different data distributions using statistical measures
Analyze different data distributions using statistical measures.
7.DSP.B.4
Compare the numerical measures of center, measures of
Compare the numerical measures of center, measures of frequency and measures of variability from two random samples to draw inferences about the population.
7.DSP.C.5a
Determine probabilities of simple events
Determine probabilities of simple events.
7.DSP.C.5b
Understand that the probability of a chance event
Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.
7.DSP.C.6a
Predict outcomes using theoretical probability
Predict outcomes using theoretical probability.
7.DSP.C.6b
Perform experiments that model theoretical probability
Perform experiments that model theoretical probability.
7.DSP.C.6c
Compare theoretical and experimental probabilities
Compare theoretical and experimental probabilities.
7.DSP.C.7a
Develop a uniform probability model by assigning equal
Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.
7.DSP.C.7b
Develop a probability model by observing frequencies in
Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.
7.DSP.C.8a
Represent the sample space of a compound event
Represent the sample space of a compound event.
7.DSP.C.8b
Design and use a simulation to generate frequencies
Design and use a simulation to generate frequencies for compound events.
📌Expressions, Equations and Inequalities (7.EEI)7 standards
7.EEI.A.1
Apply properties of operations to simplify and to
Apply properties of operations to simplify and to factor linear algebraic expressions with rational coefficients.
7.EEI.A.2
Understand how to use equivalent expressions to clarify
Understand how to use equivalent expressions to clarify quantities in a problem.
7.EEI.B.3a
Convert between equivalent forms of the same number
Convert between equivalent forms of the same number.
7.EEI.B.3b
Assess the reasonableness of answers using mental computation
Assess the reasonableness of answers using mental computation and estimation strategies.
7.EEI.B.4a
Write and/or solve equations of the form x+p
Write and/or solve equations of the form x+p = q and px = q in which p and q are rational numbers.
7.EEI.B.4b
Write and/or solve two-step equations of the form
Write and/or solve two-step equations of the form px + q = r and p(x + q) = r, where p, q and r are rational numbers, and interpret the meaning of the solution in the context of the problem.
7.EEI.B.4c
Write, solve and/or graph inequalities of the form
Write, solve and/or graph inequalities of the form px + q > r or px + q < r, where p, q and r are rational numbers.
📌Geometry and Measurement (7.GM)9 standards
7.GM.A.1
Solve problems involving scale drawings of real objects
Solve problems involving scale drawings of real objects and geometric figures, including computing actual lengths and areas from a scale drawing and reproducing the drawing at a different scale.
7.GM.A.2a
Determine if provided constraints will create a unique
Determine if provided constraints will create a unique triangle through construction.
7.GM.A.2b
Construct special quadrilaterals given specific parameters
Construct special quadrilaterals given specific parameters.
7.GM.A.3
Describe two-dimensional cross sections of pyramids, prisms, cones
Describe two-dimensional cross sections of pyramids, prisms, cones and cylinders.
7.GM.A.4a
Analyze the relationships among the circumference, the radius
Analyze the relationships among the circumference, the radius, the diameter, the area and Pi in a circle.
7.GM.A.4b
Know and apply the formulas for circumference and
Know and apply the formulas for circumference and area of circles to solve problems.
7.GM.B.5
Use angle properties to write and solve equations
Use angle properties to write and solve equations for an unknown angle.
7.GM.B.6a
Find the area of triangles, quadrilaterals and other
Find the area of triangles, quadrilaterals and other polygons composed of triangles and rectangles.
7.GM.B.6b
Find the volume and surface area of prisms
Find the volume and surface area of prisms, pyramids and cylinders.
📌Number and Sense Operations (7.NS)13 standards
7.NS.A.1a
Add and subtract rational numbers
Add and subtract rational numbers.
7.NS.A.1b
Represent addition and subtraction on a horizontal or
Represent addition and subtraction on a horizontal or vertical number line.
7.NS.A.1c
Describe situations and show that a number and
Describe situations and show that a number and its opposite have a sum of 0 (additive inverses).
7.NS.A.1d
Understand subtraction of rational numbers as adding the
Understand subtraction of rational numbers as adding the additive inverse.
7.NS.A.1e
Determine the distance between two rational numbers on
Determine the distance between two rational numbers on the number line is the absolute value of their difference.
7.NS.A.1f
Interpret sums and differences of rational numbers
Interpret sums and differences of rational numbers.
7.NS.A.2a
Multiply and divide rational numbers
Multiply and divide rational numbers.
7.NS.A.2b
Determine that a number and its reciprocal have
Determine that a number and its reciprocal have a product of 1 (multiplicative inverse).
7.NS.A.2c
Understand that every quotient of integers is a
Understand that every quotient of integers (with non-zero divisor) is a rational number.
7.NS.A.2d
Convert a rational number to a decimal
Convert a rational number to a decimal.
7.NS.A.2e
Understand that all rational numbers can be written
Understand that all rational numbers can be written as fractions or decimal numbers that terminate or repeat.
7.NS.A.2f
Interpret products and quotients of rational numbers by
Interpret products and quotients of rational numbers by describing real-world contexts.
7.NS.A.3
Solve problems involving the four arithmetic operations with
Solve problems involving the four arithmetic operations with rational numbers.
📌Ratios and Proportional Relationships (7.RP)6 standards
7.RP.A.1
Compute unit rates, including those that involve complex
Compute unit rates, including those that involve complex fractions, with like or different units.
7.RP.A.2a
Determine when two quantities are in a proportional
Determine when two quantities are in a proportional relationship.
7.RP.A.2b
Identify and/or compute the constant of proportionality
Identify and/or compute the constant of proportionality (unit rate).
7.RP.A.2c
Explain what a point on the graph of
Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation.
7.RP.A.2d
Recognize that the graph of any proportional relationship
Recognize that the graph of any proportional relationship will pass through the origin.
7.RP.A.3
Solve problems involving ratios, rates, percentages and proportional
Solve problems involving ratios, rates, percentages and proportional relationships.