Session |
Benchmarks |
Topic |
Number Sense, Concepts, and Operations |
| 1 |
MA.8.A.6.2
|
Square roots-Make reasonable approximations of square roots and
mathematical expressions that include square roots, and use them to estimate
solutions to problems and to compare mathematical expressions involving real
numbers and radical expressions.
|
| 2 |
MA.912.A.1.1 |
Equivalent forms of numbers-Know equivalent forms of
real numbers (including integer exponents and radicals, percents, scientific
notation, absolute value, rational numbers, irrational numbers). |
| 3 |
MA.912.A.1.1
MA.912.A.4.2 |
Extracting square roots-Make reasonable
approximations of square roots and mathematical expressions that include
square roots, and use them to estimate solutions to problems and to compare
mathematical expressions involving real numbers and radical
expressions.
Operational shortcuts-Shortcuts in applying order of operations |
| 4 |
MA.8.A.6.4 |
Solving real-world problems-Perform operations on real numbers (including integer
exponents, radicals, percents, scientific notation, absolute value, rational
numbers, and irrational numbers) using multi-step and real world problems. |
| 5 |
MA.7.A.1.2 |
Solving real-world problems involving percents-Solve
percent problems, including problems involving discounts, simple interest,
taxes, tips, and percents of increase or decrease. |
| 6 |
MA.7.A.1.6 |
Length estimate-Apply proportionality to measurement in multiple
contexts, including scale drawings and constant speed. |
| 7 |
MA.7.G.4.1 |
Number estimate-Estimating
the given numerial problems to the nearest integer |
Measurement |
| 8 |
MA.912.G.7.5 |
Volume-Explain and use formulas
for lateral area, surface area, and volume of solids. |
| 9 |
MA.912.G.2.5 |
Area-Explain the
derivation and apply formulas for perimeter and area of polygons (triangles,
quadrilaterals, pentagons, etc.). |
| 10 |
MA.912.G.1.3 |
Angle measures-Identify and use the relationships between special pairs
of angles formed by parallel lines and transversals. |
| 11 |
MA.912.A.1.5
MA.912.A.1.5 |
Rate-Use
dimensional (unit) analysis to perform conversions between units of measure,
including rates.
Rated measures-Use dimensional (unit) analysis to perform conversions
between units of measure, including rates. |
| 12 |
MA.912.G.2.3
|
Congruency & Similarity-Use properties of congruent and similar polygons to solve
mathematical or real-world problems. |
| 13 |
MA.912.G.2.3
|
Indirect measurement-To convert the given measurements in a riverse way |
Geometry and Spatial Sense |
| 14 |
MA.912.G.1.3 |
Measurement of angles-Identify and use the
relationships between special pairs of angles formed by parallel lines and
transversals. |
| 15 |
MA.912.G.2.2 |
Interior & Exterior angles of a polygon-Determine the measures of interior and exterior angles of
polygons, justifying the method used. |
| 16 |
MA.912.G.2.3 |
Similarity-Use properties of congruent and similar polygons to solve
mathematical or real-world problems. |
| 17 |
MA.912.G.2.6 |
Reflections-Use
coordinate geometry to prove properties of congruent, regular and similar
polygons, and to perform transformations in the plane. Symmetry-Use coordinate
geometry to prove properties of congruent, regular and similar polygons, and
to perform transformations in the plane. |
| 18 |
MA.912.G.2.6 |
Transformations-Use
coordinate geometry to prove properties of congruent, regular and similar
polygons, and to perform transformations in the plane. |
| 19 |
MA.912.G.2.6
MA.912.G.2.6
MA.912.G.2.6 |
Distance-Use coordinate geometry to prove properties of congruent,
regular and similar polygons, and to perform transformations in the
plane
Coordinate plotting-Identify and plot ordered pairs in all four quadrants of
the coordinate plane.
Midpoint-Find the lengths and midpoints of line segments in
two-dimensional coordinate systems. |
| 20 |
MA.8.G.2.4 |
Pythagorean theorem-Validate and apply Pythagorean Theorem to find distances
in real world situations or between points in the coordinate plane. |
Algebraic
Thinking |
| 21 |
MA.912.A.3.5
MA.912.A.2.3 |
Solving multi-step
equations-Symbolically represent and solve
multi-step and real-world applications that involve linear equations and
inequalities.
Functions-Describe
the concept of a function, use function notation, determine whether a given
relation is a function, and link equations to functions. |
| 22 |
MA.912.G.7.7 |
Changing dimensions-Determine how changes in
dimensions affect the surface area and volume of common geometric
solids. |
| 23 |
N/A
N/A |
Changing cost parameters-Determine how changes in cost parameters affect the
surface area and volume of common geometric solids.
Changing parameters-Determine how changes in parameters affect the surface
area and volume of common geometric solids. |
| 24 |
MA.912.A.3.4 MA.912.A.3.5 |
Inequalities-Solve and graph simple and compound inequalities in one
variable and be able to justify each step in a solution.
Equations-Symbolically represent and solve multi-step and real-world
applications that involve linear equations and inequalities. |
| 25 |
MA.912.A.4.2 |
Polynomials-Add,
subtract, and multiply polynomials. |
Data Analysis and Probability |
| 26 |
MA.912.D.7.2 |
Venn diagrams-Use Venn diagrams to
explore relationships and patterns and to make arguments about relationships
between sets. |
| 27 |
MA.912.S.3.1 |
Charts-Read and
interpret data presented in various formats. Determine whether data is
presented in appropriate format, and identify possible corrections. |
| 28 |
MA.912.S.3.3
MA.912.S.3.3 |
Mode-Calculate and interpret measures of the center of a set of
data for mode
Median-Calculate
and interpret measures of the center of a set of data for median |
| 29 |
MA.912.P.2.2 MA.912.P.2.1 MA.912.S.3.1 |
Single event probability-Determine probabilities of independent events.
Compound event probability-Determine probabilities of complementary events, and calculate odds for and
against the occurrence of events.
Formulating hypotheses-Read and interpret data presented in various formats.
Determine whether data is presented in appropriate format, and identify
possible corrections. |
| 30 |
MA.912.P.1.1 |
Combinations-Use counting principles,
including the addition and the multiplication principles, to determine size
of finite sample spaces and probabilities of events in those spaces. |
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