GRADE 5

GOAL:  The student understands and applies the concepts and procedures of mathematics.

Washington State

Essential Academic Learning Requirements

Meridian School District Math Framework

Assessment Strategies

The learner will:

1.1 Understand and apply concepts and procedures from number sense

Benchmarks

Number and Numeration

Use pictures and symbols to demonstrate understanding of whole and fractional number systems

Decimals

Percents

Properties of the rational number system

Compare and order integers, fractions, and decimals.

Understand the concepts of prime and composite numbers, factors and multiples, and divisibility

Understand apply the concepts of ratio and direct proportion

Computation

Understand operations on non-negative rational numbers

Add, subtract, multiply, and divide whole numbers

Use metal arithmetic, pencil and paper, or calculator as appropriate to the task involving non-negative rational numbers.

 

To meet this standard the learner will:

1.1

Uses visual and physical models to describe the meaning of fractions, decimals, and percents

Writes the decimal representation when given the word from a decimal to thousandths

Identifies fraction fractions, decimals and percents as different forms of expressing parts of a whole.

Writes a number between one billion thousand in standard form, word form or expanded form

Labels the places on a place value chart between billions and thousands.

Compares whole numbers to millions, decimals to thousands, and fractions using <, >, and =

Orders more than three whole numbers, decimals, or fractions

Writes equivalent fractions by multiplying or dividing the numerator or denominator by the same number

Uses greatest common factor of numerator and denominator to simplify a fraction

Identifies 1 as either prime or composite

Applies divisibility rules by 2, 3, 5, and 10

Draws a model given a ratio in three different ways

Uses objects, pictures, and symbols to illustrate equivalent rations (ex. 1:2 is equivalent to 4:8)

Expresses a ratio as a percent

Makes comparisons between two part: part relationships (ex. Which makes lighter paint – 2 white: 3 blue or 4 white: 5 blue?)

 

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GOAL:  The student understands and applies the concepts and procedures of mathematics.

Suggested Instructional Strategies / Activities

Resources &

Materials

 

Seeing Fractions for geometry with fractions, rates sharing equal parts, fraction kit, ratio

 

 

Addition Rings:  p 187 – 201 arrive at correct results for all computations, exhibit an understanding of the arithmetic generalizations described by the ring, and the inverse relationship involved

 

Millie’s Business: pp. 111 – 123 note the important features of the situation, use rate to compare number and quantity (gallons, pints), verify own mathematical reasoning

 

Field Trip  pp. 67 – 89 (+, -, X, ¸) organize data, from a variety of sources, make a graph, use data to solve a real-life problem, compute cost

 

Candy Boxes p. 197 ►►►►►►►►►►►►►►►►►►►►►►

 

 

 

Anthony Pours Juice p. 203 – 212

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Seeing Fractions: California Dept. of Education

 

 

 

Number Quantity: Basic Fractions Measurement and Estimation

Number Quantity: Fractions and Rate

Elementary Grades Assessment Balanced Assessment for the Mathematics Curriculum

Dale Seymour Publications 1999

 

 

About Teaching Mathematics, by Marilyn Burns

 

 

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GOAL:  The student understands and applies the concepts and procedures of mathematics.

Washington State

Essential Academic Learning Requirements

Meridian School District Math Framework

Assessment Strategies

The learner will:

1.1 Understand and apply concepts and procedures from number sense

Computation

Estimation

Identify situations involving non-negative rational numbers in which estimation is sufficient and computations is not required.

Use estimation to predict computation results and to determine the reasonableness of answers involving non-negative rational numbers, for example, estimating a tip.

 

Benchmarks

Attributes and dimensions

Understand and apply concepts

and procedures from

measurement

Understands concepts of perimeter, area, and volume

Use directly measurable attributes such as length, perimeter, area, volume/capacity, angle, weight/mass, money, and temperature to describe and compare objects

Approximation and Precision

Understand that measurement is approximate

Estimate to predict and determine when measurements are reasonable, for example estimating the length of the playground by pacing it off

To meet this standard the learner will:

1.1

Uses physical models to solve problems involving a combination of any two whole operations

Writes number sentences representing addition, subtraction, multiplication and division situations

Describes and justifies  reasonableness of an estimate to a division context

Divides by 10’s, and 100’s

Rounding whole numbers to nearest 10’s, 100’s, 1000’s, 10,000

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1.2

Computes perimeter, area, length, weight/mass, time and temperature when given a real life problem

Solves realistic problems involving measurement of perimeter, area, length, weight and mass, time and temperature when given diagrams or objects

Uses appropriate vocabulary and symbols to compare attributes of perimeter

Determines and justifies whether exact or approximate measures are needed when given a realistic situation

Understands estimation can be used to predict and determine reasonableness of measurement, understands there are numerous strategies for estimation

Use non standard units to measure objects

 

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