MS7-MA
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LevelCourse
Anchor Standards
Standard
Sub-Standard
SubSubStandard
Standard CodeStandardsIA
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MS7MAEE0100*0MS7-MA-EE.01.00*.0Apply properties of operations as strategies to add, subtract, factor,
and expand linear expressions with rational coefficients.
Number Sense & Operations / Algebraic Patterns & Connections
3
MS7MAEE02000MS7-MA-EE.02.00.0Understand that rewriting an expression in different forms in a
problem context can shed light on the problem and how the quantities in it are related. (e.g., a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”
Number Sense & Operations
4
MS7MAEE0300*0MS7-MA-EE.03.00*.0Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.Compute with Whole Numbers / Measurement / Compute with Fractions / Compute with Decimals
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MS7MAEE04000MS7-MA-EE.04.00.0Use variables to represent quantities in a real-world or mathematical
problem, and construct simple equations and inequalities to solve
problems by reasoning about the quantities.
Algebraic Patterns & Connections:
6
MS7MAEE04A0MS7-MA-EE.04.A.0Solve word problems leading to equations of the form px + q = r
and p(x + q) = r, where p, q, and r are specific rational numbers.
Solve equations of these forms fluently. Compare an algebraic
solution to an arithmetic solution, identifying the sequence of the
operations used in each approach. For example, the perimeter of a
rectangle is 54 cm. Its length is 6 cm. What is its width?
Algebraic Patterns & Connections:
7
MS7MAEE04B0MS7-MA-EE.04.B.0Solve word problems leading to inequalities of the form px + q > r
or px + q < r, where p, q, and r are specific rational numbers. Graph
the solution set of the inequality and interpret it in the context of
the problem. For example: As a salesperson, you are paid \$50 per
week plus \$3 per sale. This week you want your pay to be at least
\$100. Write an inequality for the number of sales you need to make,
and describe the solutions.
Algebraic Patterns & Connections:
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MS7MAG01000MS7-MA-G.01.00.0Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.Geometry
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MS7MAG02000MS7-MA-G.02.00.0Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.Not on IA
10
MS7MAG03000MS7-MA-G.03.00.0Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.Not on IA
11
MS7MAG0400*0MS7-MA-G.04.00*.0Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.Geometry
12
MS7MAG0500*0MS7-MA-G.05.00*.0Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.Not on IA
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MS7MAG0600*0MS7-MA-G.06.00*.0Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.Geometry
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MS7MANS01000MS7-MA-NS.01.00.0Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.Number Sense & Operations
15
MS7MANS01A0MS7-MA-NS.01.A.0Describe situations in which opposite quantities combine to
make 0. For example, a hydrogen atom has 0 charge because its two
constituents are oppositely charged.
Number Sense & Operations
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MS7MANS01B0MS7-MA-NS.01.B.0Understand p + q as the number located a distance |q| from p,
in the positive or negative direction depending on whether q is
positive or negative. Show that a number and its opposite have
a sum of 0 (are additive inverses). Interpret sums of rational
numbers by describing real-world contexts.
Number Sense & Operations
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MS7MANS01C0MS7-MA-NS.01.C.0Understand subtraction of rational numbers as adding the
additive inverse, p – q = p + (–q). Show that the distance between
two rational numbers on the number line is the absolute value of
their difference, and apply this principle in real-world contexts.
Algebraic Patterns & Connections
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MS7MANS01D0MS7-MA-NS.01.D.0Apply properties of operations as strategies to add and subtract
rational numbers.
Number Sense & Operations
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MS7MANS0200*0MS7-MA-NS.02.00*.0Multiply and divide fractions to multiply and divide rational numbers.Compute with Fractions
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MS7MANS02A0MS7-MA-NS.02.A.0Understand that multiplication is extended from fractions to
rational numbers by requiring that operations continue to
satisfy the properties of operations, particularly the distributive
property, leading to products such as (–1)(–1) = 1 and the rules
for multiplying signed numbers. Interpret products of rational
numbers by describing real-world contexts.
Compute with Fractions
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MS7MANS02B0MS7-MA-NS.02.B.0Understand that integers can be divided, provided that the divisor
is not zero, and every quotient of integers (with non-zero divisor)
is a rational number. If p and q are integers, then –(p/q) = (–p)/q =
p/(–q). Interpret quotients of rational numbers by describing realworld
contexts.
Number Sense & Operations
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MS7MANS02C0MS7-MA-NS.02.C.0Apply properties of operations as strategies to multiply and
divide rational numbers.
Number Sense & Operations
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MS7MANS02D0MS7-MA-NS.02.D.0Convert a rational number to a decimal using long division; know
that the decimal form of a rational number terminates in 0s or
eventually repeats.
Compute with Whole Numbers / Compute with Decimals
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MS7MANS03000MS7-MA-NS.03.00.0Solve real-world and mathematical problems involving the four operations with rational numbers.1Compute with Whole Numbers
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MS7MARP01000MS7-MA-RP.01.00.0Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. (e.g., if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.Geometry
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MS7MARP02000MS7-MA-RP.02.00.0Recognize and represent proportional relationships between quantities.Not on IA
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MS7MARP02A0MS7-MA-RP.02.A.0Decide whether two quantities are in a proportional relationship,
e.g., by testing for equivalent ratios in a table or graphing on a
coordinate plane and observing whether the graph is a straight
line through the origin.
Not on IA
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MS7MARP02B0MS7-MA-RP.02.B.0Identify the constant of proportionality (unit rate) in tables,
graphs, equations, diagrams, and verbal descriptions of
proportional relationships.
Measurement
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MS7MARP02C0MS7-MA-RP.02.C.0Represent proportional relationships by equations. For example, if
total cost t is proportional to the number n of items purchased at
a constant price p, the relationship between the total cost and the
number of items can be expressed as t = pn.
Not on IA
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MS7MARP02D0MS7-MA-RP.02.D.0Explain what a point (x, y) on the graph of a proportional
relationship means in terms of the situation, with special attention
to the points (0, 0) and (1, r) where r is the unit rate.
Not on IA
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MS7MARP0300*0MS7-MA-RP.03.00*.0Use proportional relationships to solve multistep ratio and percent problems. Measurement / Compute with Decimals
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MS7MASP01000MS7-MA-SP.01.00.0Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.Data Analysis, Probability & Statistics
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MS7MASP02000MS7-MA-SP.02.00.0Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. (e.g., estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.Data Analysis, Probability & Statistics
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MS7MASP03000MS7-MA-SP.03.00.0Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. (e.g., the mean height of players on the basketball
team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable.
Not on IA
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MS7MASP04000MS7-MA-SP.04.00.0Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. (e.g., decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book.Data Analysis, Probability & Statistics
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MS7MASP0500*0MS7-MA-SP.05.00*.0Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Data Analysis, Probability & Statistics
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MS7MASP06000MS7-MA-SP.06.00.0Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. (e.g., when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.Data Analysis, Probability & Statistics
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MS7MASP07000MS7-MA-SP.07.00.0Develop a probability model and use it to find probabilities of vents. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy. Data Analysis, Probability & Statistics
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MS7MASP07A0MS7-MA-SP.07.A.0Develop a uniform probability model by assigning equal
probability to all outcomes, and use the model to determine
probabilities of events. For example, if a student is selected at
random from a class, find the probability that Jane will be selected
and the probability that a girl will be selected.
Data Analysis, Probability & Statistics
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MS7MASP07B0MS7-MA-SP.07.B.0Develop a probability model (which may not be uniform) by
observing frequencies in data generated from a chance process.
For example, find the approximate probability that a spinning penny
will land heads up or that a tossed paper cup will land open-end
down. Do the outcomes for the spinning penny appear to be equally
likely based on the observed frequencies?
Data Analysis, Probability & Statistics
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MS7MASP08000MS7-MA-SP.08.00.0Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.Data Analysis, Probability & Statistics
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MS7MASP08A0MS7-MA-SP.08.A.0Understand that, just as with simple events, the probability of a
compound event is the fraction of outcomes in the sample space
for which the compound event occurs.
Data Analysis, Probability & Statistics
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MS7MASP08B0MS7-MA-SP.08.B.0Represent sample spaces for compound events using methods
such as organized lists, tables and tree diagrams. For an event
described in everyday language (e.g., “rolling double sixes”),
identify the outcomes in the sample space which compose the
event.
Not on IA
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MS7MASP08C0MS7-MA-SP.08.C.0Design and use a simulation to generate frequencies for
compound events. For example, use random digits as a simulation
tool to approximate the answer to the question: If 40% of donors
have type A blood, what is the probability that it will take at least 4
donors to find one with type A blood?
Data Analysis, Probability & Statistics