Session |
BenchMark |
Topic |
Number sense,
Concepts, and Operations |
| 1 |
MA.6.A.5.2,
MA.5.A.6.5 |
Relative size of numbers - Compare and order fractions, decimals, and percents,
including finding their approximate location on a number line Use exponents
and scientific notation to write large and small numbers and vice versa and
to solve problems.
Number estimate - Solve non-routine problems using various strategies
including “solving a simpler problem” and “guess, check, and revise”. |
| 2 |
MA.6.A.5.1 |
Fractions/percents - Use equivalent forms of fractions, decimals, and percents
to solve problems. |
| 3 |
MA.5.A.6.5 |
Exponential notation - Solve non-routine problems using various strategies
including “solving a simpler problem” and “guess, check, and revise”. |
| 4 |
MA.6.A.3.1,
MA.5.A.6.2 |
Effects of operations - Write and evaluate mathematical expressions that
correspond to given situations.
Order of operations - Use the order of operations to simplify expressions which
include exponents and parentheses. |
| 5 |
MA.6.A.3.5 |
Distributive property - Apply the Commutative, Associative, and Distributive
Properties to show that two expressions are equivalent. |
| 6 |
MA.4.A.6.1 |
Whole number computation - Use and represent numbers through millions in various
contexts, including estimation of relative sizes of amounts or distances. |
| 7 |
MA.6.A.1.3 |
Decimal computation - Solve real-world problems involving multiplication and
division of fractions and decimals. |
Measurement |
| 8 |
MA.6.G.4.2,
MA.7.G.4.1 |
Area - Find the perimeters and areas of composite
two-dimensional figures, including non-rectangular figures (such as
semicircles) using various strategies.
Change in Area - Determine how changes in dimensions affect the perimeter,
area, and volume of common geometric figures, and apply these relationships
to solve problems. |
| 9 |
MA.7.G.4.1 |
Change in perimeter - Determine how changes in dimensions affect the perimeter,
area, and volume of common geometric figures, and apply these relationships
to solve problems. |
| 10 |
MA.7.G.4.1,
MA.7.A.1.6 |
Change in dimensions - Determine how changes in dimensions affect the perimeter,
area, and volume of common geometric figures, and apply these relationships
to solve problems.
Scale drawing - Apply proportionality to
measurement in multiple contexts, including scale drawings and constant
speed. |
| 11 |
MA.3.G.5.3,
MA.5.G.5.2 |
Time - Tell time to the nearest minute and to the nearest
quarter hour, and determine the amount of time elapsed.
Time conversions - Compare, contrast, and convert units of measure within the
same dimension (length, mass, or time) to solve problems. |
| 12 |
MA.5.G.5.2,
MA.5.G.5.2 |
Weight - Contrast, and convert units of measure within the same
dimension (length, mass, or time) to solve problems.
Customary weight - Contrast, and convert units of measure within the same
dimension (length, mass, or time) to solve problems. |
Geometry and
Spatial Sense |
| 13 |
MA.8.G.2.2,
MA.4.G.5.1 |
Angles - Classify and determine the measure of angles, including
angles created when parallel lines are cut by transversals.
Angles -
Classify angles of two-dimensional shapes using benchmark angles (45°, 90°,
180°, and 360°) |
| 14 |
MA.912.G.6.1 |
Circles - Determine the center of a given circle. Given 3 points not
on a line construct the circle which passes through them. Construct tangents
to circles. |
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| 15 |
MA.7.G.4.2,
|
Transformations - Predict the results of transformations, and draw
transformed figures with and without the coordinate plane. |
| 16 |
MA.3.G.3.3, |
Symmetry - Build, draw, and analyze two-dimensional shapes from
several orientations in order to examine and apply congruence and
symmetry. |
| 17 |
MA.5.G.5.1,
MA.7.A.1.3 |
Translations - Identify and plot ordered pairs on the first quadrant of
the coordinate plane.
Similarity -
Solve problems involving similar figures. |
| 18 |
MA.8.G.2.2,
MA.5.G.5.1 |
Perpendicularity - Classify and determine the measure of angles, including
angles created when perpendicular lines are cut by transversals.
Coordinate plotting - Identify and plot ordered pairs on the first quadrant of
the coordinate plane. |
Algebra
Thinking |
| 19 |
MA.7.A.1.4 |
Functions - Graph proportional relationships and identify the unit
rate as the slope of the related linear function. |
| 20 |
MA.5.A.4.1. |
Number sequences - Use the properties of equality to solve numerical and
real world situations |
| 21 |
MA.6.A.3.1,
MA.6.A.3.1 |
Generalizing
rules/expressions - Write and evaluate mathematical
expressions that correspond to given situations.
Evaluating expressions - Write and evaluate mathematical expressions that
correspond to given situations. |
| 22 |
MA.6.A.3.3 |
Translating equations or
expressions - Work backward with two-step function
rules to undo expressions. |
| 23 |
MA.6.A.3.2,
MA.6.A.3.6 |
Equations - Write, solve, and graph one- and two- step linear
equations and inequalities.
Linear equations - Construct and analyze equations to describe linear
functions and other simple relations using both common language and algebraic
notation. |
| 24 |
MA.6.A.3.2 |
Solving equations - Write, solve, and graph one- and two- step linear
equations and inequalities. |
Data Analysis
and Probability |
| 25 |
MA.5.S.7.1,
MA.5.A.6.5 |
Line graphs - Construct and analyze line graphs and double bar graphs.
Charts -
Solve non-routine problems using various strategies including “solving a
simpler problem” and “guess, check, and revise”. |
| 26 |
MA.5.S.7.1 |
Multiple bar graphs - Construct and analyze line graphs and double bar graphs. |
| 27 |
MA.6.S.6.1,
MA.6.S.6.1 |
Median - Determine the measures of central tendency (mean, median,
mode) and variability (range) for a given set of data.
Mean -
Determine the measures of central tendency (mean, median, mode) and
variability (range) for a given set of data. |
| 28 |
MA.7.P.7.1 |
Determining outcomes - Determine the outcome of an experiment and predict which
events are likely or unlikely, and if the experiment is fair or unfair. |
| 29 |
MA.7.P.7.1 |
Probability - Determine the outcome of an experiment and predict which
events are likely or unlikely, and if the experiment is fair or unfair. |
| 30 |
MA.5.S.7.1,
MA.7.S.6.1 |
Interpretation of data - Construct and analyze line graphs and double bar
graphs.
Collection of data - Evaluate the reasonableness of a sample to determine the
appropriateness of generalizations made about the population. |
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