CPHS Students: Welcome to Algebra 1



Please log in to Homelink to see grades and all practice work.

Click here for syllabus.

Big Ideas can be used as a resource at home.

Algebra 1 Overview

Semester 1
Semester 2
1 - Statistics
5 - Systems of Equations
2 - Proportional Reasoning
6 - Exponents
3 - Linear Rate of Change
7 - Functions and Transformations
4 - Functions
8 - Quadratics & Polynomials
Select this link for a detailed guide to all objectives.

Resources for Parents and Tutors

Condensed Lessons for tutors and for catch-up (English or Spanish)
Guide for Parents (overview with sample problems and answers)

Assignments

All assignments and grades can be found on homelink.

Syllabus

Algebra 1 Syllabus - 2018-19

Extra Study

Khan Academy
​Quizlet

UnitMain ConceptsVocabularyResource Textbook
Helpful Links

Statistics
  • interpret and compare a variety of graphs
  • find summary values for a data set
  • draw conclusions about a data set based on graphs and summary values
  • create and interpret relative frequency graphs
  • use statistics to compare center and spread of two or more data sets
maximum, minimum, range, Measures of center,
mean, median, mode, outlier, histogram, bin, frequency,
mean absolute deviation, variance, standard deviation
relative frequency graph, joint frequency, marginal frequencies,
marginal relative frequencies, joint relative frequencies,
conditional relative frequencies
Big Ideas Textbook
Chapter 11.1 to 11.5


Discovering Algebra
Chapter 1.1 to 1.5

Solve Linear Equations and Inequalities
  • review simplifying and ordering fractions
  • use proportional reasoning to understand problem situations
  • learn what rates are and use them to make predictions
  • review the rules for order of operations with algebraic expressions using solving equations by graphing
  • describe number tricks by using algebraic expressions
  • solve equations by using the undoing method
  • solve linear equations using the balancing method
ratio, proportion, variable, reciprocal,
sample, rate, unit rate, conversion factor,
dimensional analysis, order of operations,
algebraic expression, algebraic equation,
additive inverse, like terms, compound inequality, balancing
Big Ideas: Chapter 1.1 to 1.5 and 2.1 to 2.4


Click here for Quizlet.


Discovering Algebra: 2.1 to 2.3, 2.7, 2.8, 3.6

Beginning Functions
  • write recursive rules emphasizing start plus change
  • study rate of change
  • learn to write equations for lines using a starting value and a rate of change
  • use equations and tables to graph lines
  • solve linear equations
  • estimate the margin of error of predictions
  • define and calculate slope
  • learn about function notation and vocabulary
recursive sequences, rates of change, recursive rules,
y-intercept, linear relationship, linear equation intercept form,
slope triangle slope, margin of error
Big Ideas: 3.1, 3.2, 3.3


Discovering Algebra: 3.1, 3.2, 3.3, 7.1

Writing and Graphing Linear Functions
  • explore the domain and range of a relation
  • learn how to determine whether a relationship is a function
  • graph functions of real world situations
  • write an equation that fits a set of real-world data
  • review the intercept form of a linear equation
  • learn the slope-intercept form of a linear equation
  • learn the point-slope form of a linear equation
  • recognize equivalent equations written in different forms
  •  formalize algebraic properties
function, vertical line test, independent variable,
dependent variable, domain, range, increasing, decreasing, linear, nonlinear discrete graph, continuous graph
Big Ideas: 3.4 to 3.7 and 4.1 to 4.3
Discovering Algebra 3.4 to 3.7 and 4.1 to 4.9

Solving Systems of Linear Equations
  • learn to solve systems of linear equations
  • learn to use slope to identify parallel and perpendicular lines
  • solve systems using the substitution method
  • solve systems using the elimination method
  • graph inequalities in one and two variables
  • solve systems of linear inequalities
system of equations, elimination,
substitution, parallel lines, perpendicular lines, inequalities, half-plane,
compound inequality, constraints, system of inequalities
Big Ideas: 5.1 to 5.7
Discovering Algebra 5.1 to 5.7

Exponential Functions and Sequences
  • write recursive rules for nonlinear sequences
  • learn an equation for exponential growth or decrease
  • use properties of exponents to rewrite expressions
  • write numbers in scientific notation
  • model real-world data with exponential equations

Big Ideas: 6.1 to 6.7
Discovering Algebra 6.1 to 6.8

Polynomial Equations
  • Name polynomials and put in standard form
  • Learn how to combine polynomials
  • Add, subtract, multiply polynomials

Big Ideas: 7.1 to 7.4


Discovering Algebra 8.8

Factoring Polynomials
  • review factoring and using the distributive property
  • model applications with quadratic functions
  • learn how factor polynomials

Big Ideas: 7.5 to 7.8
Discovering Algebra: 8.3 and 8.4

Graphing Quadratic Functions
  • compare features of parabolas to their quadratic equations
  • make connections between some new polynomial functions and their graphs

Big Ideas: 8.1 to 8.6
Discovering Algebra: 7.3, 8.1, 8.2, 8.5

Solving Quadratic Functions
  • learn strategies for solving quadratic equations
  • derive quadratic formula
  • use quadratic formula to solve quadratic equations
  • interpret the solutions of a quadratic equation

Big Ideas: 9.1 to 9.6 Discovering Algebra: 8.6 and 8.7