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Grade 5 Grade-Level Goals

Content Strand: Number and Numeration

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

 

Content Strand: Operations and Computation

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

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

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

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

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

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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