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Tutor Service: Pre-algebra

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Section 1

Pre-algebra

Factors and multiples

  • Factors and multiples
  • Prime and composite numbers
  • Prime factorization

Exponents intro and order of operations

  • Meaning of exponents
  • Powers of whole numbers
  • Powers of fractions and decimals
  • Order of operations introduction
  • More on order of operations

Variables & expressions

  • Parts of algebraic expressions
  • Substitution & evaluating expressions
  • Evaluating expressions with multiple variables
  • Expression value intuition
  • Evaluating expressions word problems
  • Writing algebraic expressions introduction
  • Writing basic algebraic expressions word problems
  • Distributive property with variables
  • Combining like terms
  • Equivalent expressions

 

Section 2

Pre-algebra

Equations & inequalities introduction

  • Algebraic equations basics
  • One-step equations intuition
  • One-step addition & subtraction equations
  • One-step multiplication and division equations
  • Finding mistakes in one-step equations
  • One-step equation word problems
  • Intro to inequalities with variables
  • Dependent and independent variables
  • Analyzing relationships between variables

Percent & rational number word problems

  • Percent word problems
  • Rational number word problems

Proportional relationships

  • Rate problems with fractions
  • Constant of proportionality
  • Compare and interpret constants of proportionality
  • Identifying proportional relationships
  • Graphs of proportional relationships
  • Writing & solving proportions
  • Equations of proportional relationships

One-step and two-step equations & inequalities

  • Combining like terms
  • The distributive property & equivalent expressions
  • Interpreting linear expressions
  • Two-step equations intro
  • Two-step equations with decimals and fractions
  • Two-step equation word problems
  • One-step inequalities
  • Two-step inequalities

Section 3

Pre-algebra

Roots, exponents, & scientific notation

  • Square roots & cube roots
  • Exponent properties intro
  • Negative exponents
  • Exponent properties (integer exponents)
  • Working with powers of 10
  • Scientific notation intro
  • Arithmetic with numbers in scientific notation
  • Scientific notation word problems

Multi-step equations

  • Equations with variables on both sides
  • Equations with parentheses
  • Number of solutions to equations
  • Equations word problems

Two-variable equations

  • Graphing proportional relationships
  • Solutions to linear equations
  • Intercepts
  • Slope
  • Intro to slope-intercept form
  • Graphing slope-intercept form
  • Writing slope-intercept equations

Functions and linear models

  • Functions
  • Linear models
  • Comparing linear functions
  • Constructing linear models for real-world relationships
  • Recognizing functions
  • Linear and nonlinear functions

Systems of equations

  • Intro to systems of equations
  • Systems of equations with graphing
  • Solving systems with substitution