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State Goal 6 Demonstrate and apply a knowledge and sense of numbers,
including numeration and operations (addition, subtraction, multiplication,
division), patterns, ratios and proportions.
6.7.01 Read, write, and recognize equivalent representations of positive
powers of 10.
6.7.02 Read, write, recognize, model, and interpret integers, including
translating numerical expressions.
6.7.03 Recognize, translate between, and apply multiple representations of
rational numbers (decimals, fractions, mixed numbers, and percents less than
100%).
6.7.04 Represent repeated factors using exponents.
6.7.05 Order and compare integers, terminating decimals, fractions, and mixed
numbers.
6.7.06 Identify and locate integers, decimals, and fractions/mixed numbers on
a number line, and estimate the locations of square roots.
6.7.07 Solve problems involving descriptions of numbers, including
characteristics and relationships (e.g., square numbers, prime/composite,
prime factorization, greatest common factor, least common multiple).
6.7.08 Solve problems and number sentences involving addition, subtraction,
multiplication, and division using integers, fractions, and decimals.
6.7.09 Identify and apply order of operations to simplify numeric expressions
involving whole numbers (including exponents), fractions, and decimals.
6.7.10 Identify and apply the following properties of operations with rational
numbers:
a the commutative and associative properties for addition and multiplication;
b the distributive property;
c the additive and multiplicative identify properties;
d the additive and multiplicative inverse properties; and
e the multipicative property of zero.
6.7.11 Demonstrate and apply the relationships between addition/subtraction
and multiplication/division with rational numbers.
6.7.12 Make estimates appropriate to a given situation, and analyze what
effect the estimation method used has on the accuracy of results.
6.7.13 Estimate the square root of a number less than 1,000 between two whole
numbers (e.g., the square root of 41 is between 6 and 7)
6.7.14 Create and explain ratios that represent a given situation.
6.7.15 Use proportional reasoning to model and solve problems.
6.7.16 Read, write, recognize, model, and interpret percents from 0% to 100%.
6.7.17 Solve number sentences and problems involving fractions, decimals, and
percents (e.g., 50% of 10 is the same as 1/2 of 10 is the same as 0.5×10,
sales tax, tips, interest, discounts).
State Goal 7 Estimate, make and use measurements of objects, quantities and
relationships and determine acceptable levels of accuracy.
7.7.01 Select and use appropriate standard units and tools to measure length,
mass/weight, capacity, and angles. Sketch, with given specifications, line
segments, angles, triangles, and quadrilaterals.
7.7.02 Solve problems involving the perimeter and area of polygons and
composite figures using diagrams, models, and grids or by measuring or using
given formulas (may include sketching a figure from its description).
7.7.03 Compare and estimate length (including perimeter), area, volume,
weight/mass, and angles (0° to 180°) using referents.
7.7.04 Determine the volume and surface area of a right rectangular prism
using an appropriate formula or strategy.
7.7.05 Solve problems involving unit conversions within the same measurement
system for length, weight/mass, capacity, and square units (e.g., 1 ft² = 144
in²).
7.7.06 Solve problems involving scale drawings and maps.
State Goal 8 Use algebraic and analytical methods to identify and describe
patterns and relationships in data, solve problems and predict results.
8.7.01 Determine a missing term in a sequence, extend a sequence, and
construct and identify a rule that can generate the terms of an arithmetic or
geometric sequence.
8.7.02 Write an expression using variables to represent unknown quantities.
8.7.03 Simplify algebraic expressions by identifying and combining like terms.
8.7.04 Recognize equivalent forms of algebraic expressions.
8.7.05 Evaluate or simplify algebraic expressions with one or more integer
variable values (e.g., a² + b for a = 3 and b = –4).
8.7.06 Determine how a change in one variable relates to a change in a second
variable.
8.7.07 Represent linear equations and quantitative relationships on a
rectangular coordinate system, and interpret the meaning of a specific part of
a graph.
8.7.08 Translate between different representations (table, written, graphical,
or pictorial) of whole number relationships and linear expressions.
8.7.09 Identify, graph, and interpret inequalities on a number line.
8.7.10 Represent and analyze problems with linear equations and inequalities.
8.7.11 Solve linear equations in one variable (e.g., 2x + 3 = 13) and
inequalities involving or > (e.g., 2x6, x+7>10).
8.7.12 Solve word problems involving unknown quantities.
State Goal 9 Use geometric methods to analyze, categorize and draw
conclusions about points, lines, planes and space.
9.7.01 Classify, describe, and sketch regular and irregular two–dimensional
shapes according to the number of sides, length of sides, number of vertices,
and interior angles.
9.7.02 Solve problems involving two– and three– dimensional shapes.
9.7.03 Solve problems using properties of triangles and quadrilaterals (e.g.,
opposite sides of a parallelogram are congruent).
9.7.04 Identify, describe, and determine the radius and diameter of a circle.
9.7.05 Graph points and identify coordinates of points on the Cartesian
coordinate plane (all four quadrants).
9.7.06 Represent and identify geometric figures using coordinate geometry.
9.7.07 Analyze the results of a combination of transformations.
9.7.08 Identify or analyze relationships of angles formed by intersecting
lines.
9.7.09 Identify and sketch acute, right, and obtuse angles.
9.7.10 Solve problems involving complementary and supplementary angles.
9.7.11 Identify a three– dimensional object from its net.
9.7.12 Recognize which attributes (such as shape, perimeter, and area) change
or don’t change when plane figures are composed, decomposed, or rearranged.
9.7.13 Describe the difference between congruence and similarity.
9.7.14 Determine if figures are similar, and identify relationships between
corresponding parts of similar figures.
9.7.15 Determine the distance between two points on a horizontal or vertical
number line.
State Goal 10 Collect, organize and analyze data using statistical methods;
predict results; and interpret uncertainty using concepts of probability.
10.7.01 Read, interpret, and make predictions from data represented in a bar
graph, line (dot) plot, Venn diagram (with two circles), chart/table, line
graph, scatterplot, circle graph, or histogram.
10.7.02 Compare different representations of the same data.
10.7.03 Create a bar graph, chart/table, line graph, or circle graph for a
given set of data.
10.7.04 Identify a reasonable approximation of the line of best fit from a set
of data or a scatter plot.
10.7.05 Determine and use the mode, range, median, and mean to interpret data.
10.7.06 Solve problems involving the probability of a simple or compound
event, including representing the probability as a fraction, decimal, or
percent.
10.7.07 Represent all possible outcomes for simple events.
10.7.08 Solve simple problems involving the number of ways objects can be
arranged (permutations and combinations).
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