Number Sense and Operations Strand
Statistics and Probability Strand
Number Sense and Operations Strand
Number Systems
Students will understand numbers, multiple ways of representing numbers, relationships among numbers, and number systems.
5.N.1 Read and write whole numbers to millions
5.N.2 Compare and order numbers to millions
5.N.3
Understand the place value structure of the base ten number system
10 ones = 1 ten
10 tens = 1 hundred
10 hundreds = 1 thousand
10 thousands = 1 ten thousand
10 ten thousands = 1 hundred thousand
10 hundred thousands = 1 million
5.N.4 Create equivalent fractions, given a fraction
5.N.5 Compare and order fractions including unlike denominators (with and without the use of a number line) Note: Commonly used fractions such as those that might be indicated on ruler, measuring cup, etc.
5.N.6 Understand the concept of ratio
5.N.7 Express ratios in different forms
5.N.8 Read, write, and order decimals to thousandths
5.N.9 Compare fractions using <, >, or =
5.N.10
Compare decimals using <, >, or =
5.N.11 Understand that percent means part of 100, and write percents
as fractions and decimals
Number Theory
5.N.12
Recognize that some numbers are only divisible by one and
themselves (prime) and others have multiple divisors (composite)
5.N.13
Calculate multiples of a whole number and the least common
multiple of two numbers
5.N.14 Identify the factors of a given number
5.N.15 Find the common factors and the greatest common factor of two numbers
Operations
Students will understand meanings of operations and procedures, and how they relate to one another.
5.N.16
Use a variety of strategies to multiply three-digit by three-digit
numbers Note: Multiplication by anything greater than a three-digit
multiplier/ multiplicand should be done using technology.
5.N.17 Use a variety of strategies to divide three-digit numbers by one- and two-digit numbers Note: Division by anything greater than a two-digit divisor should be done using technology.
5.N.18 Evaluate an arithmetic expression using order of operations including multiplication, division, addition, subtraction and parentheses
5.N.19 Simplify fractions to lowest terms
5.N.20 Convert improper fractions to mixed numbers, and mixed numbers to improper fractions
5.N.21 Use a variety of strategies to add and subtract fractions with like denominators
5.N.22 Add and subtract mixed numbers with like denominators
5.N.23 Use a variety of strategies to add, subtract, multiply, and divide decimals to thousandths
Estimation
Students will compute accurately and make reasonable estimates.
5.N.24 Round numbers to the nearest hundredth and up to 10,000
5.N.25 Estimate sums and differences of fractions with like denominators
5.N.26 Estimate sums, differences, products, and quotients of decimals
5.N.27 Justify the reasonableness of answers using estimation
Variables and Expressions
Students will represent and analyze algebraically a wide variety of problem solving situations.
5.A.1 Define and use appropriate terminology when referring to constants, variables, and algebraic expressions
5.A.2 Translate simple verbal expressions into algebraic expressions
Variables and Expressions
Students will perform algebraic procedures accurately.
5.A.3 Substitute assigned values into variable expressions and evaluate using order of operations
Equations and Inequalities
5.A.4
Solve simple one-step equations using basic whole-number facts
5.A.5 Solve and explain simple one-step equations using inverse operations
involving whole numbers
5.A.6 Evaluate the perimeter formula for given input values
Students will recognize, use, and represent algebraically patterns, relations, and functions.
Patterns, Relations and Functions
5.A.7 Create and explain patterns and algebraic relationships (e.g.,2,4,6,8...) algebraically: 2n (doubling)
5.A.8 Create algebraic or geometric patterns using concrete objects or visual drawings (e.g., rotate and shade geometric shapes)
Shapes
Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes.
5.G.1 Calculate the perimeter of regular and irregular polygons
Geometric Relationships
Students will identify and justify geometric relationships, formally and informally.
5.G.2 Identify pairs of similar triangles
5.G.3 Identify the ratio of corresponding sides of similar triangles
5.G.4 Classify quadrilaterals by properties of their angles and sides
5.G.5
Know that the sum of the interior angles of a quadrilateral is 360 degrees
5.G.6 Classify triangles by properties of their angles and sides
5.G.7 Know that the sum of the interior angles of a triangle is 180 degrees
5.G.8 Find a missing angle when given two angles of a triangle
5.G.9 Identify pairs of congruent triangles
5.G.10 Identify corresponding parts of congruent triangles
Transformational Geometry
Students will apply transformations and symmetry to analyze problem solving situations.
5.G.11 Identify and draw lines of symmetry of basic geometric shapes
Coordinate Geometry
Students will apply coordinate geometry to analyze problem solving situations.
5.G.12
Identify and plot points in the first quadrant
5.G.13 Plot points to form basic geometric shapes (identify and classify)
5.G.14 Calculate perimeter of basic geometric shapes drawn on a coordinate plane (rectangles and shapes composed of rectangles having sides with integer lengths and parallel to the axes)
Units of Measurement
Students will determine what can be measured and how, using appropriate methods and formulas.
5.M.1 Use a ruler to measure to the nearest inch, and inch
5.M.2 Identify customary equivalent units of length
5.M.3 Measure to the nearest centimeter
5.M.4 Identify equivalent metric units of length
5.M.5 Convert measurement within a given system
Tools and Methods
5.M.6
Determine the tool and technique to measure with an appropriate
level of precision: lengths and angles
Units
Students will use units to give meaning to measurements.
5.M.7 Calculate elapsed time in hours and minutes
5.M.8 Measure and draw angles using a protractor
Estimation
Students will develop strategies for estimating measurements.
5.M.9
Determine personal references for customary units of length
(e.g., your pace is approximately 3 feet, your height is approximately
5 feet, etc.)
5.M.10 Determine personal references for metric units of length
5.M.11 Justify the reasonableness of estimates
Statistics and Probability Strand
Collection of Data
Students will collect, organize, display, and analyze data.
5.S.1 Collect and record data from a variety of sources (e.g., newspapers, magazines, polls, charts, and surveys)
Organization and Display of Data
5.S.2 Display data in a line graph to show an increase or decrease over time
Analysis of Data
5.S.3
Calculate the mean for a given set of data and use to describe a set
of data
Predictions from Data
Students will make predictions that are based upon data analysis.
5.S.4
Formulate conclusions and make predictions from graphs
Probability
Students will understand and apply concepts of probability.
5.S.5 List the possible outcomes for a single-event experiment
5.S.6
Record experiment results using fractions/ratios
5.S.7 Create a sample space and determine the probability of a single
event, given a simple experiment (e.g., rolling a number cube)