How do I build an algebra sequence from 6th grade to high school?
How do I build an algebra sequence from 6th grade to high school?
Build the algebra sequence as one strand that grows each year: expressions and one-step equations in 6th grade, two-step equations and proportional reasoning in 7th, linear relationships and systems in 8th, then functions and quadratics in high school. Agree on shared language and a spiral warm-up routine across grades. This page covers where sequences break, how to plan as a team, a five-stage outline and ready workbooks.
See all ten algebra workbooksA strong algebra sequence from 6th grade to high school moves in stages: variables and expressions in 6th grade, equations, inequalities and proportional relationships in 7th, linear equations, slope, functions and systems in 8th, then linear, quadratic and exponential functions in Algebra 1, followed by function transformations. Keep the balance model and vocabulary consistent across grades, use daily spiral warm-ups, and check grade placement against your state standards.
Ready-made material
Complete Algebra Bundle, Grades 5–12
The first cover is the main resource; the others are related options. Open any cover for the full contents and price.
Complete Algebra Bundle | All 10 Algebra Workbooks from Expressions to Function Transformations | Grades 5–12
Algebra 1 Pathway Bundle | Equations, Linear Functions & Systems, Quadratics | 3 Workbooks | Grades 7–10
Middle School Math Core Units Bundle | Equations, Linear & Quadratic Functions, Pythagorean Theorem, Percentages & Probability | 6 Units | Grades 7–9
Pre-Calculus Prep Bundle | Quadratics, Function Transformations, Derivatives & Graph Analysis | 3 Workbooks | Grades 9–12
Why it is hard
Where algebra sequences break down
In many schools each grade plans its algebra in isolation. The 6th grade teacher calls 3x a 'term', the 7th grade teacher calls it a 'monomial', and by 8th grade students think these are different ideas. One grade teaches equation solving with a balance model, the next with 'move it to the other side and change the sign', so students end up with a rule they cannot explain. Topics repeat without depth, as when two-step equations are taught fresh in 7th, 8th and 9th grade because nobody trusts what came before. Other topics fall through the gaps entirely: inequalities are mentioned briefly in 7th grade and assumed by Algebra 1, and proportional reasoning is taught as cross-multiplying instead of being linked to slope. Students who move between schools or tracks feel this most. The fix is less about adding content and more about agreeing on a progression, a set of shared models and words, and a routine for spiraling earlier skills so that each teacher can build on the last.
What works
How to plan the strand as a team
These steps work for a single school or a middle and high school planning together.
- Map every algebra topic by grade on one page and mark repeats and gaps.
- Agree on one model for equations, such as the balance, and use it in every grade.
- Build a shared glossary for term, coefficient, expression, equation, function and slope.
- Plan a short daily spiral warm-up so earlier grade skills keep getting practiced.
- Use one common end-of-year task per grade to see what students really carry forward.
- Meet once a term across grades to look at student work, not just pacing guides.
Step by step
A five-stage algebra progression
This is a common progression; your state standards may place some topics a year earlier or later, so adjust it.
- Grade 6: Variables and expressionsWrite and evaluate expressions, use the distributive property, combine like terms, and solve one-step equations. Introduce ratio and rate with tables and double number lines. Keep the balance model visible from the first equation.
- Grade 7: Equations and proportionTwo-step equations and inequalities, operations with rational numbers, proportional relationships, and percent problems. Graph proportional relationships to prepare for slope. Return often to the balance model when equations get longer.
- Grade 8: Linear relationshipsEquations with variables on both sides, slope as rate of change, y = mx + b, the idea of a function, and systems of two linear equations solved by graphing and algebra.
- Algebra 1: Functions and quadraticsLinear and exponential functions, systems by substitution and elimination, factoring, and quadratic equations. Students compare function families with tables, graphs and equations. Mention the earlier stages by name so students see the connection.
- Beyond: Transformations and analysisFunction transformations, higher-degree and other function families, and graph analysis that prepares students for pre-calculus and later calculus courses. Revisit linear and quadratic ideas inside each new family.
Ready-made option
Ten algebra workbooks from expressions upward
The Complete Algebra Bundle ($129.99, parts $199.90) collects all ten algebra workbooks for Grades 5–12: the four foundations workbooks, two warm-up sets, equations and inequalities foundations, linear functions and systems, quadratics, and function transformations. That spans most stages of the progression above and gives every grade the same style of material. If your team only needs the high school entry stage, the Algebra 1 Pathway Bundle ($44.99) is smaller. For students heading toward pre-calculus, the Pre-Calculus Prep Bundle ($44.99) adds quadratics, transformations and a Grade 11 workbook on functions and derivatives.
Honest limits
What a bundle cannot decide for your team
Ten workbooks are not a scope and sequence and not a full-year course for any grade. Your team still decides which topics sit in which grade, writes the shared glossary, and sets common tasks. Check grade placement against your state standards and district guides. Because a vertical plan involves several teachers, send Teach Lessons a short message before using the files across a department or school; the standard licence covers your own teaching. If the bundle does not suit you, you can exchange it within 7 days for store credit of equal value, not a cash refund.
Good to know
More teacher questions
Where should inequalities first appear?
Many sequences introduce simple inequalities in 6th or 7th grade, with solving two-step inequalities in 7th and compound inequalities in Algebra 1. Check your state's placement. Whatever you choose, make sure the grade that introduces them also practices the sign flip with numbers, so later grades are not starting from zero.
Do these workbooks match a standards framework?
Teach Lessons makes no alignment claim for Common Core or any state framework. The workbooks cover topics that appear across most algebra progressions, from expressions to function transformations. A vertical team should map each workbook against its own state standards before assigning it to a grade.
How do we handle students who skip a grade of math?
Give them a short check on the skipped stage, focusing on the topics the next course assumes: two-step equations and proportional reasoning before 8th grade, linear relationships before Algebra 1. Fill gaps with targeted workbook pages rather than holding students back. Recheck after a few weeks to see whether the gap has closed.
Should 8th graders take Algebra 1?
That depends on your district's pathways and on each student's readiness. Students who move early need solid expressions, equations and proportional reasoning first. A clear vertical sequence makes the decision easier because everyone knows what the earlier grades have covered. Share that sequence with families when placement decisions come up.
Can the whole math department use one purchase?
Use across a team or school is possible after a short message to Teach Lessons. Explain how many teachers and which grades are involved. Sharing the files beyond that, posting them publicly or reselling them is not allowed. A short message before purchase settles the details for everyone.
How do warm-ups fit into a vertical plan?
Warm-ups are where spiraling happens. Each grade can open lessons with short review of the previous stage, such as integer and expression practice in 7th grade or equation solving in 8th, so earlier skills are practiced all year rather than only in their own unit.
Plan algebra as one story
Agree on the stages, the models and the words, then give every grade matching material. The Complete Algebra Bundle covers expressions through transformations.
See all ten algebra workbooks