Grade 5 Grade-Level Goals
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| Grade-Level Goals |
Content Thread |
Program Goal |
Goal 1
Read and write whole numbers and decimals; identify places in such
numbers and the values of the digits in those places; use expanded
notation to represent whole numbers and decimals. |
Place value and notation |
Understand the Meanings, Uses, and
Representations of Numbers |
Goal 2
Solve problems involving percents and discounts; describe and explain
strategies used; identify the unit whole in situations involving
fractions. |
Meanings and uses of fractions |
Goal 3
Identify prime and composite numbers; factor numbers ; find prime
factorizations. |
Number theory |
Goal 4
Use numerical expressions involving one or more of the basic four
arithmetic operations , grouping symbols, and exponents to give
equivalent names for whole numbers; convert between base-10,
exponential, and repeated-factor notations. |
Equivalent names for whole numbers |
Understand Equivalent Names for
Numbers |
Goal 5
Use numerical expressions to find and represent equivalent names for
fractions decimals, and percents; use and explain multiplication and
division rules to find equivalent fractions and fractions in simplest
form; convert between fractions and mixed numbers; convert between
fractions, decimals, and percents. |
Equivalent names for fractions, decimals, and
percents |
Goal 6
Compare and order whole numbers up to 1,000,000,000 and decimals through
thousandths; compare and order integers between -100 and 0; use area
models, benchmark fractions, and analyses of numerators and denominators
to compare and order fractions. |
Comparing and ordering numbers |
Understand Common Numerical Relations |
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| Grade-Level Goals |
Content Thread |
Program Goal |
Goal 1
Use mental arithmetic, paper-and-pencil algorithms, and calculators to
solve problems involving the addition and subtraction of whole numbers,
decimals, and signed numbers; describe the strategies used and explain
how they work. |
Addition and subtraction procedures |
Computes Accurately |
Goal 2
Demonstrate automaticity with multiplication facts and proficiency with
division facts and extensions. |
Multiplication and division facts |
Goal 3
Use mental arithmetic, paper-and-pencil algorithms, and calculators to
solve problems involving the multiplication of whole numbers and
decimals and the division of multidigit whole numbers and decimals by
whole numbers; express remainders as whole numbers or fractions as
appropriate; describe the strategies used and explain how they work. |
Multiplication and division procedures |
Goal 4
Use mental arithmetic, paper-and-pencil algorithms, and calculators to
solve problems involving the addition and subtraction of fractions and
mixed numbers; describe the strategies used and explain how they work. |
Procedures for addition and subtraction of
fractions |
Goal 5
Use area models, mental arithmetic, paper-and-pencil algorithms, and
calculators to solve problems involving the multiplication of fractions
and mixed numbers; use diagrams, a common-denominator method, and
calculators to solve problems involving the division of fractions;
describe the strategies used. |
Procedures for multiplication and division of
fractions |
Goal 6
Make reasonable estimates for whole number and decimal addition,
subtraction, multiplication, and division problems and fraction and
mixed number addition and subtraction problems; explain how the
estimates were obtained. |
Computational estimation |
Make Reasonable Estimates |
Goal 7
Use repeated addition, arrays, area, and scaling to model multiplication
and division; use ratios expressed as words, fractions, percents, and
with colons; solve problems involving ratios of parts of a set to the
whole set. |
Models for the operations |
Understand Meanings of Operations |
Content Strand: Data and Chance
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| Grade-Level Goals |
Content Thread |
Content Thread |
Goal 1
Collect and organize data or use given data to create bar, line, and
circle graphs with reasonable titles, labels, keys, and intervals. |
Data collection and representation |
Select and Create Appropriate Graphical
Representations of Collected or Given Data |
Goal 2
Use the maximum, minimum, range, median, mode, and mean and graphs to
ask and answer questions, draw conclusions , and make predictions. |
Data analysis |
Analyze and Interpret Data |
Goal 3
Describe events using certain, very likely , likely, unlikely, very
unlikely, impossible and other basic probability terms; use more likely,
equally likely, same chance, 50-50, less likely, and other basic
probability terms to compare events; explain the choice of language. |
Qualitative probability |
Understand and Apply Basic Concepts
of Probability |
Goal 4
Predict the outcomes of experiments, test the predictions using
manipulatives, and summarize the results ; compare predictions based on
theoretical probability with experimental results; use summaries and
comparisons to predict future events; express the probability of an
event as a fraction, decimal, or percent. |
Quantitative probability |
Content Strand: Measurement and Reference Frames
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| Grade-Level Goals |
Content Thread |
Program Goal |
Goal 1
Estimate length with and without tools; measure length with tools to the
nearest 1/8 inch and millimeter; estimate the measure of angles with and
without tools; use tools to draw angles with given measures. |
Length, weight, and angles |
Understand the Systems and Processes
of Measurement; Use Appropriate Techniques, Tools, Units, and Formulas
in Making Measurements |
Goal 2
Describe and use strategies to find the perimeter of polygons and the
area of circles; choose and use appropriate formulas to calculate the
areas of rectangles, parallelograms, and triangles, and the volume of a
prism; define pi as the ratio of a circle’s circumference to its
diameter. |
Area, perimeter, volume, and
capacity |
Goal 3
Describe relationships among U.S. customary units of length; among
metric units of length; and among U.S. customary units of capacity. |
Units and systems of measurement |
Goal 4
Use ordered pairs of numbers to name, locate, and plot points in all
four quadrants of a coordinate grid . |
Coordinate systems |
Use and Understand Reference Frames |
Content Strand: Geometry
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| Grade-Level Goals |
Content Thread |
Program Goal |
Goal 1
Identify, describe, compare, name, and draw right, acute, obtuse,
straight, and reflex angles; determine angle measures in vertical and
supplementary angles and by applying properties of sums of angle
measures in triangles and quadrangles. |
Lines and angles |
Investigate Characteristics and
Properties of Two - and Three-Dimensional Geometric Shapes |
Goal 2
Describe, compare, and classify plane and solid figures using
appropriate geometric terms; identify congruent figures and describe
their properties. |
Plane and solid figures |
Goal 3
Identify, describe, and sketch examples of reflections, translations,
and rotations. |
Goal 3
Identify, describe, and sketch examples of reflections, translations,
and rotations. |
Apply Transformations and Symmetry in Geometric
Situations |
Content Strand: Geometry
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| Grade-Level Goals |
Content Thread |
Program Goal |
Goal 1
Identify, describe, compare, name, and draw right, acute, obtuse,
straight, and reflex angles; determine angle measures in vertical and
supplementary angles and by applying properties of sums of angle
measures in triangles and quadrangles. |
Lines and angles |
Investigate Characteristics and
Properties of Two- and Three-Dimensional Geometric Shapes |
Goal 2
Describe, compare, and classify plane and solid figures using
appropriate geometric terms; identify congruent figures and describe
their properties. |
Plane and solid figures |
Goal 3
Identify, describe, and sketch examples of reflections, translations,
and rotations. |
Transformations and symmetry |
Apply Transformations and Symmetry in Geometric
Situations |
Content Strand: Patterns, Functions, and Algebra
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| Grade-Level Goals |
Content Thread |
Program Goal |
Goal 1
Extend, describe, and create numeric patterns; describe rules for
patterns and use them to solve problems; write rules for functions
involving the four basic arithmetic operations; represent functions
using words, symbols, tables, and graphs and use those representations
to solve problems. |
Patterns and functions |
Understand Patterns and Functions |
Goal 2
Determine whether number sentences are true or false; solve open number
sentences and explain the solutions; use a letter variable to write an
open sentence to model a number story; use a pan-balance model to solve
linear equations with one unknown. |
Algebraic notation and solving number sentences |
Use Algebraic Notation to Represent
and Analyze Situations and Structures |
Goal 3
Evaluate numeric expressions containing grouping symbols and nested
grouping symbols; insert grouping symbols and nested grouping symbols to
make number sentences true; describe and use the precedence of
multiplication and division over addition and subtraction. |
Order of operations |
Goal 4
Describe and apply properties of arithmetic. |
Properties of the arithmetic operations |
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