USD 263-MULVANE SCHOOL DISTRICT

CURRICULUM MAP

MATH-Algebra I


OUTCOME/ ESSENTIAL QUESTION

 

CONTENT

 

OBJECTIVE/SKILL

 

ASSESSMENT

 

How do we translate written information into mathematical symbols?
How to arrive at a one number answer?
Why is it necessary to follow a logical pattern to solve a problem?
 
Algebraic interpretation


Order of operations, number facts and substitution
Number facts, mathematical vocabulary and substitution
 
Translate word phrases about numbers into numerical and variable expressions (1-1-K)
Simplify and evaluate numerical and variable expressions (1-1-K, 1-4-K)
Identify and use 5-step method in solving word problems (1-1-A)
 
Homework
Quiz
Chapter Test
 
How can you compute negative and positive numbers?
What makes math work?
Is there more than one way to solve the same problem?
 
Number line and basic computation

Algebra properties and math facts

Mathematical language
 
Perform basic arithmetic computation of integers (1-4-K)
Identify, describe and use number properties to simplify expressions (1-2-K)
Discuss problems as a group and arrive at a consental solution (1-1-A, 1-2-A)
 
Homework
Quiz
Chapter Test
 
How do you find an unknown value?
How can we model life situations into mathematical symbols?
How do you calculate the area and distance around a geometric figure?
 
Number facts, simplification and order of operations
Number facts, number operations and algebraic symbols


Substitution, number facts and solution of equations
 
Identify and solve linear equation (2-1-K)

Given a word problem, the student will determine the correct one or two variable equation and solve (2-2-A, 2-1-A)
Identify formula needed and calculate perimeter or area of geometric figure (1-4-A, 1-3-A, 3-3-K)
 
Homework
Quiz
Chapter Test
 
How do you present mathematical information visually?
How can we convey information easily and accurately?
How can we represent an equation visually?
How can you translate real life situations into algebraic symbols?
 
Solving equation and substitution


Measurement and mathematical vocabulary

Solve equations, graph on coordinate plane, rational computation
Graphing on number line, solve equation basic integer computation facts
 
Determine intercepts using graph and/or equation, graph a linear equation (2-2-K, 2-3-K, 2-4-K)
Generate a representative graph given information (2-2-K, 2-4-K, 2-4-A)
Determine slope of line using graph, equation and points (2-3-K, 2-3-A)
Evaluate, solve and graph absolute value equations (2-2-A, 2-4-A)
 
Interpret Graph
Analyze Graphs
 
How do you interpret and analyze a graph?
How do you represent real-life situations mathematically?
How can you find solutions which yield more than one result?
 
Coordinate plane construct a graph


Solve equation and analyze graph
Solve and graph linear inequality
 
Determine equation of line from graph, using slope intercept and point slope of line (2-2-K)
Solve graph and analyze a solution set (2-2-A)
Solve singular and compound inequality, graph and describe solution (2-2-A, 2-4-A)
 
Homework
Quiz
Chapter Test
 
How do you solve equations with two unknowns?
How can we relate math symbols into written words?
How do you perform basic computation with polynomials?
How do you factor a polynomial?
 
Arithmetic facts, substitution and solve equations
Vocabulary and definition of terms

Basic number and integer facts, similar terms

Number facts, multiplication facts and inverse operations
 
Solve system of equations using substitution and linear combination method (2-2-K)
Identify and illustrate the characteristics of polynomials (1-1-K, 1-2-K)
Perform basic computations of polynomial expressions (1-2-A)
Determine the factors of a polynomial term (1-2-K)
 
Homework
Quiz
Chapter Test
 
How do you solve a quadratic equation?
How do you visually represent a quadratic equation?
How can we define and determine numbers?
 
Factoring, solving equations and substitution


Vocabulary, range and domain, substitution solve equations, coordinate plane
Math vocabulary and number line
 
Identify and solve quadratic equations using factoring, formula and completing the square (2-2-K)
Identify and graph a quadratic equation (2-4-K, 2-4-A)


Identify real, rational and irrational number (1-2-K)
 
Homework
Quiz
Chapter Test
 
How do you perform basic computation of radicals?
How do algebraic properties apply to irrational numbers?
How can we determine the unknown length of a right triangle?
 
Similar terms, square root and number properties
Number definitions, basic computation of irrational number
Radical computation, solve equations and substitution
 
Perform computation of radical expressions (1-4-K)
Simplify radical numbers (1-4-K)

Use pythagorean theorem to determine unknown side of right triangle (3-1-A, 3-2-A)
 
Homework
Quiz
Chapter Test
 
How can we determine the distance between two points?
How do you perform basic computation on algebraic fractions?
How do you solve equations involving fractions?
 
Fraction and radical computation simplify expressions
Common denominator, greatest common factors, number facts, computation of fractions
Common denominator, solve equations
 
Using formula determine distance between two points on coordinate plane (3-2-K)
Perform basic computation of rational algebraic expressions (1-4-K)

Solve rational algebraic equations (1-4-A, 2-2-K)
 
Homework
Quiz
Chapter Test