Math 1 · Unit 1
Solving Equations and Inequalities in One Variable
Seven lessons: the do-nothing numbers and their undo partners, the properties, translating subtraction and division, solving equations, longer equations, inequalities, and absolute value inequalities. Each card below opens a lesson. Every lesson has practice with hints, a study guide, a worksheet with an answer key, and a lesson plan.
The Do-Nothing Numbers and Their Undo Partners
Meet 0 and 1, the numbers that change nothing, and the opposites and reciprocals that undo everything. Then find the hidden 1s and 0s in math you already do.
Start Lesson 1Commute, Associate, Distribute
The properties, and why they are named that. Commute means trade places, associate means change partners, distribute means hand one out to everyone. Then find out which operations pass the test.
Start Lesson 2Translate Subtraction and Division
Only addition and multiplication follow the properties, so before you solve, turn every subtraction into adding the opposite and every division into multiplying by the inverse. Includes multiplying fractions, negatives as owe and have, and the invisible 1s.
Start Lesson 3Solving Equations
Undo to get the letter alone, one step at a time. Add the opposite to make a 0 appear, multiply by the reciprocal to make a 1 appear, and keep both sides of the balance equal.
Start Lesson 4Longer Equations: Combine, Then Solve
More terms, the letter on both sides, and parentheses. Rewrite, combine the like terms, then move the x terms one way and the plain numbers the other. Every line has a property name, and you can say it out loud.
Start Lesson 5Solving Inequalities: Gator Eats Greater
Read the sign (the gator eats the bigger number), see on a number line why multiplying by a negative turns it around, then solve with the same three steps as Lesson 5. One new rule, and every line still has a property name.
Start Lesson 6Absolute Value Inequalities: Distance From Zero
Absolute value means distance from zero. Less than a distance is between, and the word is and. Greater than a distance is outside, and the word is or. Set up two problems, solve both with the Lesson 6 rules, and join the answers with the right word.
Start Lesson 7Printables for Unit 1
Study guides, worksheets with answer keys, and lesson plans for every lesson in this unit.