Resources
Reference, printables, and classroom routines
Official NYSED links, the standards progression, sentence starters, and printable review sheets.
NYSED
Classroom routines
Notice and Wonder, Three Reads, Think-Pair-Share, Compare and Connect, Math Talks, Stronger and Clearer Each Time.
Sentence starters
- I notice…
- I wonder…
- A representation that helped me was…
- I agree with ___ because…
- I want to revise my thinking because…
- This method is more efficient because…
- The slope means… in this situation.
- This solution does not make sense because…
Standards progression (overlap map)
| Idea | Grade 8 | Algebra I | Sequence note |
|---|---|---|---|
| Linear equations in one variable | NY-8.EE.7 | AI-A.REI.3 | Teach once in Unit 4 with Grade 8 special cases, then extend to literal equations and modeling. |
| Slope and y = mx + b | NY-8.EE.5–6, NY-8.F.3–4 | AI-F.IF.6, AI-F.LE.2 | Unit 3 is the combined treatment. Algebra I adds average rate of change for nonlinear functions. |
| Systems of two linear equations | NY-8.EE.8 | AI-A.REI.6, AI-A.REI.11 | Unit 5 covers graphing and algebra. Algebra I emphasizes f(x) = g(x) and approximate solutions. |
| Functions | NY-8.F.1–5 | AI-F.IF.1–2 | Define functions in Grade 8 language, then layer domain, range, and f(x) in the same unit. |
| Scatter plots and linear models | NY-8.SP.1–3 | AI-S.ID.6–7 | One data unit. Algebra I adds residual thinking and correlation language. |
| Transformations | NY-8.G.1–4 | AI-F.BF.3 | Geometry first. Later, rename translations/stretches as function transformations. |
Printable review sheets
- Rational vs. Irrational Numbers
- Approximating Irrational Roots
- Integer Exponent Properties
- Scientific Notation
- Slope and Rate of Change
- Multiple Representations of Linear Functions
- Solving Linear Equations
- Linear Inequalities
- Systems of Linear Equations
- What Is a Function?
- Function Notation
- Transformations on the Coordinate Plane
- Pythagorean Theorem and Distance
- Volume of Cylinders, Cones, and Spheres
- Scatter Plots and Lines of Best Fit
- Exponential Growth and Decay
- Quadratic Graphs and Forms
- Solving Quadratic Equations
- Polynomial Operations
- Comparing Linear, Exponential, and Quadratic Models