Overview of Algebra Curriculum
" The new standards replace the former Essential Academic Learning Requirements (EALRs) and Grade Level Expectations (GLEs). The former mathematics EALRs, listed below, represent threads in the mathematical content, reasoning, problem solving, and communication that are reflected in the new standards.
EALR 1: The student understands and applies the concepts and procedures of mathematics. EALR 2: The student uses mathematics to define and solve problems.
EALR 3: The student uses mathematical reasoning.
EALR 4: The student communicates knowledge and understanding in both everyday and
mathematical language.
EALR 5: The student understands how mathematical ideas connect within mathematics, to other subjects."
pg 9 Washington State K-12 Mathematics Standards.
Labs:
• Reading and Writing Labs are activities that provide the students ways to learn
and use the language of Algebra and to use critical thinking skills to develop answers.
• Algebra Activity Labs are activities which present algebraic concepts by using
manipulative or hands-on materials.
Group activities:
• Problem Solving activities will provide the students opportunities to work in
teams to apply the five stages of problem solving:
Read and Think
Explore and Plan
Select a Strategy
Find an Answer
Reflect and Extend
• Friendly competition will provide opportunities for the students to work in teams to
solve a variety of problems with time constraints fiven.
The following is a list of core content based on the standards.
Number Sense
September:
Language of Algebra
Order of Operations
Rational numbers
Real Numbers
Properties
October:
Percent of Change
November
Arithmetic sequence (nth term)
December:
Solving inequalities
January:
Systems of equations
February:
Factoring
March:
Geometric sequences
April:
Radical expressions
May:
Rational expressions
Complex Fractions
Algebraic Sense:
September:
Properties
Logical Reasoning
Two step equations
October:
Multi-step equations
Formula work
Mixture/weighted average
November:
Equations as relations
Linear equations
Functions
December:
Direct variation
Slope
Linear inequalities
January:
Systems of equations
Polynomials
February:
Factoring trinomials
March:
Quadratic Functions
April:
Radicals
Pythagorean Theorem
May:
Dividing polynomials
Geometric Sense:
September:
Graphs and functions
October:
Scale drawings
November:
Coordinate Plane
Transformations
Patterns/sequences
December:
Systems of Linear equations
January:
Graphing systems
March:
Geometric Sequences
April:
Similar triangles
Distance problems
Data Analysis/Probability
September:
Patterns - analysis
Measure of Central tendency
Probability & Predictions
Probability of odds
October:
Multi-step equations
November:
Relations
Writing equations from patterns
Inductive and deductive reasoning
December:
Scatter Plots
Lines of Fit
Direct variation
February:
Perfect Squares and factoring
March:
Growth and Decay
Exponential functions
May:
Inverse Variation
Factorial: permutations/combinations
Measurement:
November:
Rate of change
Slope
December:
Absolute value inequalities
January:
Scientific Notation
April:
Trigonometric ratios