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Curriculum Framework - Grade 5 |
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Session |
BenchMark |
Topic |
Number sense,
Concepts, and Operations |
| 1 |
MA.3.A.2.3,
MA.3.A.2.1 |
Fraction size - Compare and order fractions, including fractions greater
than one, using models and strategies.
Equivalent fractions - Represent fractions, including fractions greater than
one, using area, set, and linear models. |
| 2 |
MA.6.A.5.1,
MA.4.A.6.5 |
Fractions/percents - Use equivalent forms of fractions, decimals, and percents
to solve problems.
Fractions/percents - Relate halves,
fourths, tenths, and hundredths to decimals and percents. |
| 3 |
MA.6.A.5.3 |
Whole number combination of
operations - Estimate the results of computations
with fractions, decimals, and percents and judge the reasonableness of the
results. |
| 4 |
MA.5.A.2.2 |
Fraction combination of
operations - Add and subtract fractions and decimals
fluently, and verify the reasonableness of results, including in problem
situations. |
| 5 |
MA.4.A.2.1 |
Place-value decimals - Use decimals through the thousandths place to name
numbers between whole numbers. |
| 6 |
MA.5.A.2.4 |
Identifying prime numbers -
Determine the prime factorization of numbers. |
| 7 |
MA.6.A.3.5 |
Distributive property- Apply the Commutative, Associative, and Distributive
Properties to show that two expressions are equivalent. |
| 8 |
MA.4.A.4.3 |
Mixed operation expression
- Recognize and write algebraic expressions for
functions with two operations. |
| 9 |
MA.5.A.1.4,
MA.5.A.2.3 |
Whole number division - Divide multi-digit whole numbers fluently, including
solving real-world problems, demonstrating understanding of the standard
algorithm and checking the
reasonableness of results.
Number estimate* - Make reasonable estimates of fraction and decimal sums
and differences, and use techniques for rounding. |
Measurement |
| 10 |
MA.3.G.5.1,
MA.7.G.4.1,
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Perimeter - Select appropriate units, strategies and tools to solve
problems involving perimeter
Area -
Determine how changes in dimensions affect the perimeter, area, and volume of
common geometric figures, and apply these relationships to solve problems.
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| 11 |
MA.5.G.3.2 |
Volume - Describe, define and determine surface area and volume of
prisms by using
appropriate units and selecting strategies and tools. |
| 12 |
MA.5.G.5.3,
MA.5.G.5.2,
|
Temperature - Solve problems requiring attention to approximation,
selection of appropriate measuring tools, and precision of measurement.
Weight -
Compare, contrast, and convert units of measure within the same dimension
(length, mass, or time) to solve problems.
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| 13 |
MA.5.G.5.3,
MA.5.G.5.2 |
Customary weight - Solve problems requiring attention to approximation,
selection of appropriate measuring tools, and precision of measurement.
Comparision Weight - Compare, contrast, and
convert units of measure within the same dimension (length, mass, or time) to
solve problems. |
| 14 |
MA.5.G.5.2,
MA.5.G.5.2 |
Elapsed time - Compare, contrast, and convert units of measure within
the same dimension (length, mass, or time) to solve problems.
Calculating time - Compare, contrast, and convert units of measure within the
same dimension (length, mass, or time) to solve problems. |
| 15 |
MA.5.G.5.2,
MA.5.G.5.3 |
Calculating length - Compare, contrast, and convert units of measure within
the same dimension (length, mass, or time) to solve problems.
Metric length - Solve problems requiring attention to approximation,
selection of appropriate measuring tools, and precision of measurement. |
Geometry and
Spatial Sense |
| 16 |
MA.3.G.3.2,
MA.3.G.3.3,
MA.3.G.3.3. |
Regular polygons - Compose, decompose, and transform polygons to make other
polygons, including concave and convex polygons with three, four, five, six,
eight, or ten sides.
Congruency -
Build, draw, and analyze two-dimensional shapes from several orientations in
order to examine and apply congruence and symmetry.
Symmetry* -
Build, draw, and analyze two-dimensional shapes from several orientations in
order to examine and apply congruence and symmetry. |
| 17 |
MA.7.G.4.2,
MA.4.G.5.2 |
Transformations - Predict the results of transformations, and draw
transformed figures with and without the coordinate plane.
Rotations -
Identify and describe the results of translations, reflections, and rotations
of 45, 90, 180, 270, and 360 degrees, including figures with line and
rotational symmetry. |
| 18 |
MA.3.G.3.1,
MA.3.G.5.1 |
Geometric construction* - Describe, analyze, compare, and classify two-dimensional
shapes using sides and angles - including acute, obtuse, and right angles -
and connect these ideas to the definition of shapes.
Perimeter -
Select appropriate units, strategies, and tools to solve problems involving
perimeter. |
| 19 |
MA.5.G.5.1,
MA.5.G.5.1 |
Identifying coordinates - Identify and plot ordered pairs on the first quadrant of
the coordinate plane.
Plotting points - Identify and plot ordered pairs on the first quadrant of
the coordinate plane. |
Algebra
Thinking |
| 20 |
MA.3.A.4.1,
MA.6.A.3.6,
MA.6.A.3.6 |
Graphic patterns - Create, analyze, and represent patterns and relationships
using words, variables, tables, and graphs.
Numerical patterns - Construct and analyze tables, graphs, and equations to
describe linear functions and other simple relations using both common
language and algebraic notation.
Patterns -
Construct and analyze tables, graphs, and equations to describe linear
functions and other simple relations using both common language and algebraic
notation. |
| 21 |
MA.7.A.1.5 |
Relations/functions - Distinguish direct variation from other relationships,
including inverse variation. |
| 22 |
MA.6.A.3.1,
MA.6.A.3.1 |
Two-variable expressions - Write and evaluate mathematical expressions that
correspond to given situations.
One-variable expressions - Write and evaluate mathematical expressions that
correspond to given situations. |
| 23 |
MA.6.A.3.2,
MA.5.A.4.1. |
Equations - Write, solve, and graph one- and two- step linear
equations and inequalities.
Solving equations - Use the properties of
equality to solve numerical and real world situations. |
| 24 |
MA.7.A.3.2 |
Solving inequalities - Add, subtract, multiply, and divide integers, fractions,
and terminating decimals, and perform exponential operations with rational
bases and whole number exponents including solving problems in everyday
contexts.
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| 25 |
MA.6.A.3.2 |
Translating inequalities - Write, solve, and graph one- and two- step linear
equations and inequalities. |
Data Analysis
and Probability |
| 26 |
MA.5.S.7.1,
MA.5.S.7.1,
MA.5.S.7.2 |
Bar graphs* - Construct and analyze line graphs and double bar
graphs.
Line graphs -
Construct and analyze line graphs and double bar graphs.
Venn diagrams - Differentiate between continuous and discrete data, and
determine ways to represent those using graphs and diagrams. |
| 27 |
MA.7.S.6.2 |
Interpretation of data - Construct and analyze histograms, stem-and-leaf plots,
and circle graphs. |
| 28 |
MA.6.S.6.1,
MA.6.S.6.1 |
Mean - Determine the measures of central tendency (mean, median,
mode) and variability (range) for a given set of data.
Range - Determine the measures of central
tendency (mean, median, mode) and variability (range) for a given set of
data. |
| 29 |
MA.7.P.7.1 |
Combinations* - Determine the outcome of an experiment and predict which
events are likely or unlikely, and if the experiment is fair or unfair. |
| 30 |
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. |
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