Grade 7 Michigan Standards
Number and Operations
Interactivate Lessons | Objectives |
Reading Graphs
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Understand derived quantities
N.ME.07.01 Understand derived quantities such as density, velocity, and weighted averages.
N.FL.07.02 Solve problems involving derived quantities.
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Introduction to Functions
Introduction to Linear Functions
Graphing and the Coordinate Plane
Cartesian Coordinate System
Graphs and Functions
Reading Graphs
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Understand and solve problems involving rates, ratios, and proportions
N.FL.07.03 Calculate rates of change including speed.
N.MR.07.04 Convert ratio quantities between different systems of units such as feet per
second to miles per hour.
N.FL.07.05 Solve simple proportion problems using such methods as unit rate, scaling, finding
equivalent fractions, and solving the proportion equation a/b = c/d; know how to see patterns about
proportional situations in tables.
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Recognize irrational numbers
N.MR.07.06 Understand the concept of square root and cube root, and estimate using
calculators.
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Practicing Arithmetic
Fraction Facts
Multiplying Decimals and Mixed Numbers
An Introduction to Sequences
Clock Arithmetic and Cryptography
Estimation
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Compute with rational numbers
N.FL.07.07 Solve problems involving operations with integers.
N.FL.07.08 Add, subtract, multiply and divide negative rational numbers.
N.FL.07.09 Estimate results of computations with rational numbers.
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Algebra
Interactivate Lessons | Objectives |
Introduction to Functions
Introduction to Linear Functions
Graphing and the Coordinate Plane
Cartesian Coordinate System
Graphs and Functions
Functions and the Vertical Line Test
Reading Graphs
Impossible Graphs
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Understand and apply directly proportional relationships and relate to linear
relationships
A.PA.07.01 Recognize when information given in a table, graph, or formula suggests a
proportional or linear relationship.
A.RP.07.02 Represent directly proportional and linear relationships using verbal descriptions,
tables, graphs, and formulas, and translate among these representations.
A.PA.07.03 Given a directly proportional or linear situation, graph and interpret the slope
and intercept(s) in terms of the original situation; evaluate y = kx for specific x values, given k,
e.g., weight vs. volume of water, base cost plus cost per unit.
A.PA.07.04 For directly proportional or linear situations, solve applied problems using graphs
and equations, e.g., the heights and volume of a container with uniform cross-section, height of
waterin a tank being filled at a constant rate, degrees Celsius and degrees Fahrenheit, distance and
time under constant speed.
A.PA.07.05 Understand and use directly proportional relationships of the form y = mx, and
distinguish from linear relationships of the form y = mx + b, b non-zero; understand that in a
directly proportional relationship between two quantities one quantity is a constant multiple of the
other quantity.
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Introduction to Functions
Introduction to Linear Functions
Reading Graphs
Graphing and the Coordinate Plane
Cartesian Coordinate System
Graphs and Functions
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Understand and represent linear functions
A.PA.07.06 Calculate the slope from the graph of a linear function as the ratio of "rise/run"
for a pair of points on the graph, and express the answer as a fraction and a decimal; understand
that linear functions have slope that is a constant rate of change.
A.PA.07.07 Represent linear functions in the form y = x + b, y = mx, and y = mx + b, and
graph, interpreting slope and y-intercept.
A.FO.07.08 Know that the solution to a linear equation corresponds to the point at which its
graph crosses the x-axis.
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Understand and solve problems about inversely proportional relationships
A.PA.07.09 Recognize inversely proportional relationships in contextual situations; know that
quantities are inversely proportional if their product is constant, e.g., the length and width of a
rectangle with fixed area, and that an inversely proportional relationship is of the form y = k/x
where k is some non-zero number.
A.RP.07.10 Know that the graph of y = k/x is not a line; know its shape; and know that it
crosses neither the x nor the y-axis.
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Apply basic properties of real numbers in algebraic contexts
A.PA.07.11 Understand and use basic properties of real numbers; additive and multiplicative
identities, additive and multiplicative inverses, commutativity, associativity, and the distributive
property of multiplication over addition.
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Combine algebraic expressions and solve equations
A.FO.07.12 Add, subtract, and multiply simple algebraic expressions of the first degree, e.g.,
(92x + 8y) − 5x + y, or − 2x(5x − 4), and justify using properties of real numbers.
A.FO.07.13 From applied situations, generate and solve linear equations of the form ax + b = c
and ax + b = cx + d, and interpret solutions.
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Geometry
Interactivate Lessons | Objectives |
Quadrilaterals
Pythagorean Theorem
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Draw and construct geometric objects
G.SR.07.01 Use a ruler and other tools to draw squares, rectangles, triangles and parallelograms
with specified dimensions.
G.SR.07.02 Use compass and straightedge to perform basic geometric constructions: the
perpendicular bisector of a segment, an equilateral triangle, and the bisector of an angle;
understand informal justifications.
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Understand the concept of similar polygons, and solve related problems
G.TR.07.03 Understand that in similar polygons, corresponding angles are congruent and the
ratios of corresponding sides are equal; understand the concepts of similar figures and scale factor.
G.TR.07.04 Solve problems about similar figures and scale drawings.
G.TR.07.05 Show that two triangles are similar using the criteria: corresponding angles are
congruent (AAA similarity); the ratios of two pairs of corresponding sides are equal and the
included angles are congruent (SAS similarity); ratios of all pairs of corresponding sides are equal
(SSS similarity); use these criteria to solve problems and to justify arguments.
G.TR.07.06 Understand and use the fact that when two triangles are similar with scale factor
of r, their areas are related by a factor of r2.
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Data and Probability
Interactivate Lessons | Objectives |
Stem-and-Leaf Plots
Histograms and Bar Graphs
Box Plots
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Represent data and interpet
D.RE.07.01 Represent and interpet data using circle graphs, stem and leaf plots, histograms, and
box-and-whisker plots, and select appropriate representation to address specific questions.
D.AN.07.02 Create and interpret scatter plots and find line of best fit and use an estimated
line of best fit to answer questions about the data.
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Mean, Median and Mode
Stem-and-Leaf Plots
Box Plots
Fire!, Probability, and Chaos
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Compute statistics about datasets
D.AN.07.03 Calculate and interpret relative frequencies and cumulative frequencies for given
data sets.
D.AN.07.04 Find and interpret the median, quartiles, and interquartile range of a
given set of data.
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