Algebra

Week 1

Intro to Ratios

• • What is a ratio?
• • Part-to-part ratios
• • Part-to-whole ratios
• • Writing ratios 3 ways
• • Ratio language

Week 2

Unit Rates

• • What is a rate?
• • Unit rate concept
• • Finding unit rates
• • Comparing unit rates
• • Real-world rates

Week 3

Equivalent Ratios

• • Creating equivalent ratios
• • Ratio tables
• • Scaling up/down
• • Tape diagrams
• • Double number lines

Week 4

Percents

• • Percent as ratio
• • Percent of a number
• • Converting fractions/percents
• • Percent on number line
• • Real-world percents

Week 6

Integers

• • Positive & negative numbers
• • Integers on a number line
• • Absolute value
• • Comparing integers
• • Ordering integers

Week 7

Integer Operations

• • Adding integers
• • Subtracting integers
• • Multiplying integers
• • Dividing integers
• • Mixed integer practice

Week 8

Rational Numbers

• • What are rationals?
• • Fractions on number line
• • Comparing rationals
• • Adding/subtracting rationals
• • Multiplying/dividing rationals

Week 9

Operations with Rationals

• • Mixed number operations
• • Decimal operations
• • Converting between forms
• • Order of operations
• • Word problems

Week 11

Algebraic Expressions

• • Variables & constants
• • Writing expressions
• • Evaluating expressions
• • Like terms
• • Combining like terms

Week 12

One-Step Equations

• • What is an equation?
• • Solving addition equations
• • Solving subtraction equations
• • Solving mult./div. equations
• • Checking solutions

Week 13

Two-Step Equations

• • Two-step equation intro
• • Solving two-step equations
• • Writing two-step equations
• • Equations with fractions
• • Word problem equations

Week 14

Multi-Step Equations

• • Distributing & combining
• • Variables on both sides
• • Equations with decimals
• • Multi-step word problems
• • Checking & verifying

Week 16

Intro to Inequalities

• • Inequality symbols
• • Graphing on number line
• • Writing inequalities
• • Solution sets
• • Checking solutions

Week 17

Solving Inequalities

• • One-step inequalities
• • Multiplying/dividing (flip)
• • Two-step inequalities
• • Graphing solutions
• • Word problem inequalities

Week 18

Real-World Modeling

• • Writing equations from context
• • Budget problems
• • Distance-rate-time
• • Proportional models
• • Multi-step word problems

Week 19

Compound Inequalities

• • "And" inequalities
• • "Or" inequalities
• • Graphing compound
• • Writing from graphs
• • Applied problems

Week 21

Functions & Relations

• • What is a function?
• • Input and output
• • Function notation
• • Tables of values
• • Identifying functions

Week 22

Slope

• • Rise over run
• • Calculating slope
• • Positive & negative slope
• • Zero & undefined slope
• • Slope from two points

Week 23

Slope-Intercept Form

• • y = mx + b
• • Identifying slope & intercept
• • Graphing y = mx + b
• • Writing equations
• • Real-world lines

Week 24

Other Forms of Lines

• • Standard form
• • Point-slope form
• • Converting between forms
• • Parallel lines
• • Perpendicular lines

Week 26

Systems by Graphing

• • What is a system?
• • Graphing two lines
• • Finding the intersection
• • One / none / infinite solutions
• • Checking solutions

Week 27

Systems by Substitution

• • Substitution method
• • Solving step-by-step
• • Word problems
• • Special cases
• • Choosing a method

Week 28

Systems by Elimination

• • Elimination method
• • Adding equations
• • Multiplying to eliminate
• • Real-world systems
• • Compare all methods

Week 29

Algebra Applications

• • Mixture problems
• • Age problems
• • Geometry with algebra
• • Rate & work problems
• • Challenge modeling