Curriculum Map

Subject:  Algebra I

Grade Level:  8-12

Month

Content/Topic

Skills

Assessment

·        Standard

September

  • Fractions and Fractals

 

 

 

 

 

 

 

 

  • Data Exploration

 

 

 

  • Review operations with fractions
  • Review operations with integers
  • Use exponents model growth in patterns
  • Explore fractals, iteration, and recursion

 

 

 

  • Interpret and compare a variety of graphs
  • Calculate, interpret, and compare summary values for a data set
  • Create, interpret, and compare graphical displays of data
  • Review how to graph points on a plane
  • Organize and compute with matrices
  • Make and test conjectures about a data set
  • Group investigations
  • Daily homework
  • Quiz
  • Test
  • Fractal Project
  • Chapter summary
  • Using Sketchpad

 

 

  • Group investigations
  • Daily homework
  • Quiz
  • Test
  • Conjecture Project
  • Chapter summary
  • Graphing calculator activities
  • A.12.1, B.12.3, D.12.3, F.12.1, F.12.2

 

 

 

 

 

 

  • A.12.2, A.12.3, A.12.5, E.12.1, E.12.2, E.12.3,

 

 

October

  • Proportional reasoning, probability, and percent

 

  • Set up and solve proportions
  • Use proportions to make predictions
  • Use conversion factors and dimensional analysis
  • Create and interpret circle graphs
  • Use scale factors to enlarge/reduce objects

 

 

  • Group investigations
  • Daily homework
  • Quiz
  • Golden Ratio Project

 

 

  • B.12.2, B.12.5, D.12.3

November

·         Probability

 

 

 

 

·         Variation and Graphs

 

 

 

 

 

 

 

·         Linear Equations

  • Determine observed and theoretical probabilities
  • Use probabilities to describe patterns

 

  • Use rates to make predictions
  • Study how quantities vary directly and inversely
  • Use equations and graphs to represent variation
  • Solve real-world problems using variation

 

  • Review order of operations and distributive property
  • Describe number tricks using algebraic expressions
  • Write recursive routines
  • Study rate of change
  • Solve linear equations by undoing operations and balancing
  • Daily homework
  • Group investigations
  • Test

·         Chapter summary

 

  • Group investigations
  • Daily homework
  • Quiz
  • Families of Rectangles Project
  • Test

·         Chapter summary

 

 

  • Group investigations
  • Daily homework
  • Quiz
  • E.12.5

 

 

 

 

  • B.12.2, B.12.5, E.12.5, D.12, F.12.1, F.12.2, F.12.4

 

 

 

 

  • A.12.4, B.12.2, B.12.3, B.12.4, C.12.2, F.12

December

  • Linear Equations

 

 

 

 

 

 

 

  • Fitting a Line to Data

·         Write linear equations in intercept form for lines

·         Use equations and tables to graph lines

·         Solve linear equations

 

 

 

·         Define and calculate slope

·         Write an equation for line-of –fit

·         Learn slope-intercept form of a line

 

  • Group investigations
  • Daily homework
  • Quiz
  • Test
  • Conjecture Project
  • Chapter summary
  • Graphing calculator activities

 

·         Daily homework

·         Group investigation

·         F.12.1-4

 

 

 

 

 

 

 

 

·         C.12.4, E.12.2, F.12.2, F.12.4

January

  • Fitting a line to data

 

 

 

 

 

 

 

  • Systems of Equations and Inequalities

·         Learn point-slope form of a line

·         Study equivalent linear equations

·         Find line-of-fit using eyeballing, point-slope and linear regression on the calculator

 

 

·         Learn to solve systems of equations using substitution

  • Group investigations
  • Daily homework
  • Quiz
  • Test
  • Bungee Jump Activity
  • Chapter summary

 

 

  • Daily homework

 

·         C.12.4, E.12.2, F.12.2, F.12.4

February

  • Systems of Equations and Inequalities

 

 

 

 

 

 

 

 

  • Exponents and Exponential Models

·         Solve systems using elimination

·         Solve systems using graphing and tracing

·         Solve systems using tables

·         Graph inequalities in one and two variables

·         Solve systems of linear inequalities

 

 

·         Write recursive routines for nonlinear sequences

·         Learn equations for exponential growth and decay

 

  • Group investigations
  • Daily homework
  • Quiz
  • Test
  • Portfolio Project
  • Chapter summary

 

 

 

 

  • Group investigations
  • Daily homework
  • Quiz

 

·         A. 12.5, B.12.2, B. 12.4, F.12.1 - F.12.4

March

  • Exponents and Exponential Models

 

 

 

 

 

  • Functions

·         Use properties of exponents to rewrite expressions

·         Write numbers in scientific notation

·         Model real-life data with exponential equations

 

·         Investigate definition, notation, properties, and graphs of functions

·         Construct and interpret graphs and functions that describe real-world situations

·         Evaluate functions using substitution, graphing calculators, and graphs

·         Learn vocabulary relating to functions

·         Learn about the absolute value function and its graph

·         Learn about the squaring and square root functions

·         Explore the parabola as a graph of the squaring function

  • Group investigations
  • Daily homework
  • Test
  • Automobile Depreciation Project
  • Chapter summary

 

  • Group investigations
  • Daily homework
  • Quiz
  • Test
  • Binary Number System Project
  • Chapter summary

·         A.12.1, A.12.5, B.12.3, B.12.5, C.12.2, F.12.1, F.12.2, F.12.4

 

 

 

·         A.12.1, A.12.2, A.12.3, A.12.5, A.12.6, B.12.3, B.12.5, F.12.2, F.12.4

·        April

  • Transformations

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  • Quadratic Models

·         Learn to how to graph polygons on graphing calculators

·         Use list definitions to move polygons

·         Learn to transform graphs by translating, reflecting, and dilating

·         Write equations of transformed function graphs

·         Explore the concept of a parent function and its family

·         Model real-world data with equations of transformations

·         Investigate rational functions and basic transformations of this function

 

·         Use quadratic functions to model projectile motion and other real-world data

·         Find the x-intercepts and vertex of a parabola by graphical and symbolic methods

  • Group investigations
  • Daily homework
  • Quiz
  • Test
  • Binary Number System Project

·         Summary posters

 

 

 

 

 

 

 

 

 

 

 

  • Group investigations
  • Daily homework
  • Quiz

 

·         A.12.1, C.12.1, F.12.2, F.12.4

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

·         F.12.2,3,4

·        May

  • Quadratic Models

 

 

 

 

 

 

 

 

 

 

  • Introduction to Geometry

·         Convert quadratic among the vertex, factored and general forms

·         Solve quadratic equations using graphs, tables and symbolic methods (including the quadratic formula)

·         Learn to multiply binomials and factor trinomials using rectangular diagrams

 

·         Learn concepts, definitions, and symbols important in geometry

·         Use algebra to describe geometric relationships

·         Explore properties of parallel and perpendicular lines

·         Find the coordinates of a line segment’s midpoint

·         Find areas of polygons

·         Apply the Pythagorean Theorem both geometrically and algebraically

·         Calculate the distance between two points by using the Pythagorean Theorem and the distance formula

·         Work with radical expressions

·          Explore right triangle trigonometry and similar triangles

 

  • Test

·         Summary posters

 

 

 

 

 

 

 

 

 

  • Group investigations
  • Daily homework
  • Quiz
  • Test

·         Summary notes

·         F.12.2,3,4

 

 

 

 

 

 

 

 

 

 

B.12.3, B.12.4, C.12.1-5, D.12.3