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* Indicates Standards that have been completed in class.
7th Grade Math Standards
7.1.1 Identify prime and composite numbers up to 50.
7.1.2 Compute efficiently and accurately with whole numbers, fractions,
and decimals.
7.1.3 Represent numbers using a variety of equivalent forms (mixed
numbers, fractions, decimals, %, and integers).
7.1.4 Compare rational numbers using the appropriate symbol (<, >, =).
*7.1.5 Identify the opposite and the reciprocal of a rational number.
7.1.6 Connect percents greater than 100 and percents less than one to real-
world situations.
7.1.7 Apply order of operations when computing with whole numbers.
7.1.8 Solve one- and two- step real-world problems involving whole
numbers, fractions, and decimals.
7.1.9 Use estimation strategies to select a reasonable solution to a
computation involving rational numbers.
7.1.10 Select a reasonable solution to a real-world division problem in
which the remainder must be considered.
7.1.11 Connect rational numbers to locations on the number line.
7.1.12 Use ratios to represent quantitative relationships.
7.2.1 Extend geometric and numerical patterns.
7.2.2 Apply function rules.
7.2.3 Extend rate charts to solve real-world problems.
7.2.4 Generalize patterns in data represented in tables and graphs.
7.2.5 Represent mathematical statements and real-world situations using
symbols.
7.2.6 Evaluate algebraic expressions for a given value of up to two
variables.
7.2.7 Solve one-step linear equations.
7.2.8 Solve real-world problems involving one-step linear equations.
7.2.9 Identify whole numbers that satisfy a given one-variable linear
equation.
7.2.10 Select the scatterplot that represents the data in tabular form.
7.2.11 Interpret graphs which represent rates of change.
7.3.1 Identify the results of transformations of two-dimensional figures
(turns, rotations, flips, reflections, slides, translations).
7.3.2 Classify triangles by angle, size, and length of sides.
7.3.3 Determine congruence of line segments, angles, and polygons.
7.3.4 Classify polygons by properties.
7.3.5 Use ordered pairs to describe given points in a coordinate system.
7.3.6 Determine the measure of an angle of a triangle given the measure of
the other two angles.
7.3.7 Apply spatial reasoning and visualization to solve real-world
problems.
7.4.1 Apply formulas to determine the areas of rectangles and triangles.
7.4.2 Determine the distance between two points on the x- or y-axis in
Quadrant I.
7.4.3 Convert from one unit to another within the same system.
7.4.4 Select unity of appropriate size and type to measure angles,
perimeter, area, surface area, and volume.
7.4.5 Apply formulas to determine the area of parallelograms, trapezoids,
and circles.
7.4.6 Estimate length, perimeter, circumference, area, and volume using a
variety of strategies.
7.4.7 Find or estimate the area of irregular and complex shapes.
7.4.8 Solve problems involving scale factors using ratios and proportions.
7.5.1 Interpret bar and line graphs to answer questions and solve real-
world problems.
7.5.2 Interpret circle graphs displaying real-world data.
7.5.3 Determine the mean for a data set.
7.5.4 Determine the median for a data set.
7.5.5 Make predictions based on data.
7.5.6 Use a tree diagram or organized list to determine all possible
outcomes of a simple compound event.
7.5.7 Connect data sets and their graphical representation (bar graphs,
stem-and-leaf plots, box plots, scatter plots).
7.5.8 Use proportional thinking to make conjectures about results of
experiments and simulations.
7.5.9 Connect the symbolic representation of a probability to an
experiment.
Pre-Algebra Standards
8.1.1 Identify the opposite and the reciprocal of a rational number.
8.1.2 Compare rational numbers using the appropriate symbol (<, >, =).
8.1.3 Use ratios and proportions to represent real-world situations.
8.1.4 Determine the approximate locations of rational numbers on a number
line.
8.1.5 Determine the square roots of perfect squares.
8.1.6 Work flexibly with fractions, decimals, and percents to solve one-
and two- step word problems.
8.1.7 Compute efficiently and accurately with whole numbers, fractions,
decimals and percents.
8.1.8 Use estimation strategies to select a reasonable solution to a real-
world problem involving computing with rational numbers.
8.1.9 Calculate rates involving cost per unit to determine the best buy.
8.1.10 Use exponential, scientific, and calculator notation to represent
large numbers in real-world situations.
8.1.11 Apply order of operations in computing with rational numbers using
no more than two parentheses and exponents 1 and 2.
8.2.1 Generalize a variety of patterns with symbolic rules.
8.2.2 Evaluate a first-degree algebraic expression given values for two or
more variables.
8.2.3 Represent situations and solve real-world problems using symbolic
algebra.
8.2.4 Connect symbolic expressions and graphs of lines.
8.2.5 Generate equivalent forms for simple algebraic expressions.
8.2.6 Solve one- and two- step linear equations involving integers.
8.2.7 Apply given formulas to solve real-world problems.
8.2.8 Interpret graphs which represent rates of change.
8.2.9 Formulate multi-step equations that represent relationships and real-
world situations.
8.2.10 Solve one-step linear inequalities.
8.2.11 Connect the appropriate graph to a linear equation.
8.3.1 Classify types of two- and three- dimensional geometric figures
using their defining properties.
8.3.2 Use ordered pairs to describe given points in a coordinate system.
8.3.3 Identify relationships among angles.
8.3.4 Recognize similar geometric figures.
8.3.5 Determine the measure of an angle of a triangle given the measures
of the other two angles.
8.3.6 Apply relationships among angles and side lengths of similar
geometric figures.
8.3.7 Apply spatial reasoning and visualization to solve real-world
problems.
8.3.8 Apply geometric ideas and relationships in areas outside the
mathematics classroom.
8.3.9 Solve problems using angle relationships.
8.4.1 Select units of appropriate size and type to measure angles,
perimeter, area, surface area, and volume.
8.4.2 Convert from one unit to another within the same system.
8.4.3 Estimate length, perimeter, circumference, area, and volume using a
variety of strategies.
8.4.4 Apply formulas to find the area of triangles, parallelograms, and
trapezoids.
8.4.5 Solve real-world problems involving rate, time, and/or distance.
8.4.6 Apply formulas to find the circumference and area of circles.
8.4.7 Estimate or find the area of irregular and complex shapes.
8.4.8 Solve problems involving scale factors using ratios and proportions.
8.4.9 Solve real-world problems using the Pythagorean Theorem.
8.5.1 Identify an appropriate sample to test a given hypothesis.
8.5.2 Interpret appropriate graphical representations of data.
8.5.3 Determine the mean of a given set of real-world data.
8.5.4 Connect data sets and their graphical representations.
8.5.5 Make conjectures and predictions based on data.
8.5.6 Connect the symbolic representation of a probability to an
experiment.
8.5.7 Determine the median of a given set of real-world data.
8.5.8 Recognize misleading presentations of data.
Algebra Standards
1.1a Select the best estimate for the coordinate of a given point on a
number line.
1.1b Identify the opposite of a rational number.
1.1c Determine the square root of a perfect square less than 169.
1.1d Use exponents to simplify a monomial written in expanded form.
1.1e Apply order of operations when computing with integers using no more
than two sets of grouping symbols and exponents 1 and 2.
1.1f Select a reasonable solution for a real-world division problem in
which the remainder must be considered.
1.2a Order a given set of rational numbers (both fraction and decimal
notation).
1.2b Identify the reciprocal of a rational number
1.2c Add and subtract algebraic expressions.
1.2d Multiply two polynomials with each factor having no more than two
terms.
1.2e Use estimation to determine a reasonable solution for a tedious
arithmetic computation.
1.2f Select ratios and proportions to represent real-world problems.
1.3a Apply the concept of slope to represent rate of change in a real-
world situation.
2.1a Extend a geometric pattern.
2.1b Extend a numerical pattern.
2.1c Translate a verbal expression into an algebraic expression.
2.1d Evaluate a first degree algebraic expression given values for one or
more variables.
2.1e Solve one-and two- step linear equations using integers (with
integral coefficients and constants).
2.2a Select the algebraic notation which generalizes the pattern
represented by data in a given table.
2.2b Translate a verbal sentence into an algebraic equation.
2.2c Select the graph that represents a given linear function expressed in
slope-intercept form.
2.2d Solve multi-step linear equations (more than two steps, with
variables on only one side of the equation).
2.2e Solve multi-step linear equations (more than two steps, with
variables on both sides of the equation).
2.2f Solve multi-step linear equations (more than two steps, with one set
of parentheses on each side of the equation).
2.2g Select the linear graph that models the given real-world situation
described in a narrative (no data set given).
2.2h Select the linear that models the given real-world situation
described in a tabular set of data.
2.2i Evaluate an algebraic expression given values for one or more
variables using grouping symbols and/or exponents less than four.
2.2j Determine the slope form the graph of a linear equation (no labeled
points).
2.2k Apply the concept of rate of change to solve real-world problems.
2.2l Select the appropriate graphical representation of a given linear
inequality.
2.2m Select the non-linear graph that models the given real-world situation
or vice versa.
2.2n Identify the graphical representation of the solution to a one
variable inequality on a number line.
2.3a Solve multi-step linear inequalities in real-world situations.
2.3b Recognize the graphical transformation that occurs when coefficients
and/or constants of the corresponding linear equations are changed.
2.3c Determine the domain and/or range of a function represented by the
graph of real-world situations.
3.1a Identify ordered pairs in the coordinate plane.
3.2a Apply the given Pythagorean Theorem to a real life problem illustrated
by a diagram.
3.2b Apply proportion and the concepts of similar triangles to find the
length of a missing side of a triangle.
3.3a Calculate the distance between two points given the Pythagorean
Theorem and the distance formula.
4.1a Estimate the area of irregular geometric figures on a grid.
4.1b Calculate rates involving cost per unit to determine the best buy.
4.1c Apply the given formula to determine the area or perimeter of a
rectangle.
4.2a Apply the given formula to find the area of a circle, the
circumference of a circle, or the volume of a rectangular solid.
4.3a Select the area representation for a given product of two one-variable
binomials with positive constants and coefficients.
5.1a Determine the mean of a given set of real-world data.
5.1b Interpret bar graphs representing real-world data.
5.1c Interpret circle graphs representing real-world data.
5.2a Choose the matching linear graph given a set of ordered pairs.
5.2b Make a prediction from the graph of a real-world linear data set.
5.2c Determine the median for a given set of real-world data.
5.3a Apply counting principles of permutations or combinations in real-
world situations.
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