Algebra 1 for a First-Year Teacher: A Buyable Sequence
Quick answer: Six units in this order: real numbers, expressions, equations and inequalities, linear functions and systems, quadratics, and a warm-up routine running underneath all of it. That is about 28 of your 36 weeks. Buy them one at a time as you reach them, not all in August, and you will spend under $120 across the year.
What order should Algebra 1 actually go in?
Most published sequences agree on the shape, and the shape matters more than any single lesson. Number sets and properties come first because everything after depends on students knowing that a rule holds for all rationals. Expressions come second, because you cannot solve an equation you cannot read. Equations and inequalities third. Then linear functions, which is the longest and most important block of the year. Then quadratics, which is where the course either lands or does not.
The temptation in a first year is to start with something friendly and postpone number sets. Do not. Two weeks on integers, rationals, irrationals and the properties in September saves you a running argument about why you can move a term across an equals sign.
What do I buy, in what order, and for how many weeks?
- Algebra Basics – Real Numbers Explained — two to three weeks. Number sets, properties, absolute value.
- Algebra Basics – Understanding and Simplifying Algebraic Expressions — four weeks. Like terms, distribution, translating words into symbols.
- Algebra Basics – Solving Equations and Understanding Inequalities — five weeks. Multi-step equations, variables on both sides, compound inequalities.
- Algebra – Linear Functions and Systems of Equations — seven weeks. The centerpiece. Slope, forms of a line, graphing, systems by three methods.
- Algebra – Quadratic Equations and Complex Solutions — six weeks. Factoring, the quadratic formula, the discriminant.
- Algebra – Daily Warm-up Exercises — all year, four minutes a day.
Where to start for under $15
- Linear Functions Teaching Kit — $12.99, instant download
- Math Escape Room – The Missing Match Schedule — $14.99, instant download
Building the whole year? High School Math Resources, Grades 9–12 has the full set. Every download has a 30-day money-back guarantee.
What should the first two weeks look like?
Not review. Every first-year teacher is told to spend two weeks reviewing seventh and eighth grade arithmetic, and every one of them watches the strong students disengage and the weak ones learn that this class does not move. Teach number sets from day two. Use the warm-up pack for the arithmetic maintenance instead — four minutes at the start of every period, marked in class, no grade attached.
Give the escape room to the Friday before the first long break. It is not a filler day; it is a diagnostic. Watching which group stalls tells you more about who cannot read a word problem than three quizzes will.
What do I cut in April?
Complex solutions. The discriminant tells students how many real roots exist, and that is all Algebra 1 needs; the complex-number pages in the quadratics workbook belong to Algebra 2. Cut exponential functions to two lessons on growth and decay patterns if your state assesses them, and skip them entirely if it does not. Protect factoring — a student who cannot factor a trinomial will fail the next course, and no amount of quadratic formula practice fixes it.
No purchased sequence will match your district pacing guide exactly. Expect to reorder two units and skip a fifth of the pages. That is normal and it is still cheaper than writing the explanations yourself in your first year.
Frequently asked questions
These are labeled grades 5 to 9. Is that really Algebra 1?
The banding reflects where the topic first appears, not the ceiling. The equations and expressions workbooks run through the full Algebra 1 treatment; the earlier sections are your differentiation for students who arrive behind.
Do I need all six at once?
No. Buy the first two in August and the rest as you reach them. If a unit turns out to duplicate your textbook, you have not spent the money.
What about graphing calculators?
None of these require one. The linear functions unit uses graph paper throughout, which is the right choice for a first course anyway.
How do I handle a class with a five-year range in prior attainment?
Use the wide banding deliberately. Assign the earlier sections as the entry task for students who need them while the rest start the main exercise. Same page, different starting point.
Comments
No comments yet — be the first to share your thoughts!
Leave a comment
Comments are reviewed before being published.
Thanks for your comment!
Your comment is being reviewed and will appear here shortly.