In accordance with the ESSENTIAL ACADEMIC LEARNING REQUIREMENTS (EARLs) for MATHEMATICS for the State of Washington, the following are the learning objectives for students in the 5th grade at Concordia Lutheran School. The EARLs are shown in italics.
1. The student understands and applies the concepts and procedures of mathematics.
To meet the standard the student will:
1.1 understand and apply concepts and procedures from number sense
quick and accurate recall of all arithmetic facts
place values to millions and thousandths, expanded and standard form
addition and subtraction of whole numbers and decimals as above
multiplication with 3-digit factors and decimals to hundredths
division with 2-digit divisors, decimal numbers by whole numbers
definition of fractions, mixed numbers
LCD and LCM for equivalent fractions, mixed numbers/improper fractions
addition, subtraction of fractions, mixed numbers with re-naming, simplifying
multiplying and dividing with fractions, whole numbers, mixed numbers
1.2 understand and apply concepts and procedures from measurement
measuring to the nearest dm, cm, or mm
measuring angles
using scale on maps and drawings
calculating elapsed time and changes in time zones
conversions with customary units of length, weight, capacity, temperature, time
introduction of metric measurements for length, capacity, mass
perimeter, area, volume of rectangles, triangles, parallelograms
1.3 understand and apply concepts and procedures from geometric sense identifying angles, polygons, triangles, quadrilaterals, solids, parts of a circle
finding perimeter, area, volume of polygons, circumference of a circle
1.4 understand and apply concepts and procedures from probability and statistics
mean, median, mode, range
reading and constructing tree diagrams, line plots, bar, line, circle graphs
identifying and finding probability for independent and dependent events
1.5 understand and apply concepts and procedures from algebraic sense
order of operations with whole numbers, fractions, mixed numbers
mental multiplication and division by 10, 100, 1000
introduction of ratio, proportion, and percent
fractions as ratios, scale
changing between common fractions, decimals, and percents
finding a percent of a number, using percent
variable expressions involving addition, subtraction, multiplication, or division
solving 1-step equations using inverse operations
coordinate geometry, graphing functions from rules, tables
2. The student uses mathematics to define and solve problems.
To meet the standard, the student will:
2.1 investigate situations
use a 4-step problem solving approach
read and understand, plan, solve, look back
2.2 formulate questions
select an appropriate technique to solve the problem
2.3 construct solutions
practice the following problem solving techniques:
draw a picture, diagram, model, make a table, organized list
look for patterns, solve a simpler problem, use simpler numbers
use formulas, graphs, write an equation
work backwards
look for missing or hidden information, too little or too much information
solve a multi-step problem
3.The student uses mathematical reasoning.
To meet the standard, the student will:
3.1 analyze information
3.2 predict results and make inferences
3.3 draw conclusions and verify results
Please see 2.1 - 2.3 above.
4. The student communicates knowledge and understanding in both everyday an mathematical language.
To meet the standard, the student will:
4.1 gather information
survey classmates, family, friends
4.2 organize and interpret information
tabulate results
4.3 represent and share information
represent results in statistics, graphs (Please see 1.4 above.)
5. The student understands how mathematical ideas connect within mathematics, to other subject areas, and to real-life situations.
To meet the standard, the student will:
5.1 relate concepts and procedures within mathematics
5.2 relate mathematical concepts and procedures to other disciplines
5.3 relate mathematical concepts and procedures to real-life situations
Taken from the website of the Office of the Superintendent of Public Instruction of the state of Washington, http://www.k12.wa.us/curriculumInstruct/ealrs/
