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Williamsville offers an accelerated pathway beginning in 7th grade, preparing students to complete Algebra 1 by the end of 8th grade. To learn more about acceleration, click HERE.
***It's important to note that successful completion of a Math 7 Accelerated course is a required prerequisite of enrolling in Algebra 1R/A as an 8th grader. Students may not enroll in Algebra 1R/A from Math 7 since our middle school math acceleration curriculum follows a two-year sequence that condenses three years of math into two.***
Given that we must teach three years of math in a two-year sequence, it's important to recognize that the entirety of Math 7A is taught at a fundamentally different level than Math 7. While we can identify approximately a total of about four additional units covered in Math 7A, the distinction goes beyond just extra content. All 7th-grade topics in Math 7A are taught with deeper connections to the subsequent Algebra 1 curriculum. Ultimately, Math 7A offers a distinct learning experience, as it follows its own unique curriculum. That said, here are the additional topics covered in Math 7A that are not in Math 7:
***It's important to note that successful completion of a Math 7 Accelerated course is a required prerequisite of enrolling in Algebra 1R/A as an 8th grader. Students may not enroll in Algebra 1R/A from Math 7 since our middle school math acceleration curriculum follows a two-year sequence that condenses three years of math into two.***
Given that we must teach three years of math in a two-year sequence, it's important to recognize that the entirety of Math 7A is taught at a fundamentally different level than Math 7. While we can identify approximately a total of about four additional units covered in Math 7A, the distinction goes beyond just extra content. All 7th-grade topics in Math 7A are taught with deeper connections to the subsequent Algebra 1 curriculum. Ultimately, Math 7A offers a distinct learning experience, as it follows its own unique curriculum. That said, here are the additional topics covered in Math 7A that are not in Math 7:
- Solve one-step multiplication/division equations with rationals (8.EE.7)
- Solve two‐step equations with rationals (use calculator) (8.EE.7)
- Combining like terms and begin to solve simple equations combining like terms (8.EE.7)
- Distributive property (8.EE.7b)
- Multi‐step equations with combining like terms (with variables on one side of the equal sign) and distributing
- Solve equations with variables on both side of the equal sign (8.EE.7b)
- Solve multi‐step equations with combining like terms (with variables on both side of the equal sign)
- Solve one‐step equations with rationals (with calculator) (8.EE.7)
- Solve two‐step equations with rationals (with calculator) (8.EE.7)
- Solve rational (fractions) equations involving CLT, distribution, and moving the variable (8. EE 7b)
- Solve rational (fractions) equations involving CLT, distribution, and moving the variable (8. EE 7b)
- Similar triangles finding sides using proportions (8.EE.5) and applications of similar triangles (8.EE.5)
- Angle relationship‐ supplementary, complementary, vertical, adjacent (7.G.5), and perpendicular lines (8.G.5)
- Parallel lines cut by a transversal using numerical values (8.G.5)
- Parallel lines cut by a transversal using expressions and equations values (8.G.5)
- Triangles ‐ Classification by sides and angles, finding the missing angle of a triangle (include inequality theorem)
- Exterior angles (8.G.5)
- Sum of the interior angles of a triangle ‐‐ with algebra including verbal problems with three let statements
- Complementary and Supplementary angl e‐‐ with algebra including verbal problems with three let statements
- Identify, discover, and apply the volume formulas for a cone (8.G.9).
- Identify, discover, and apply the discover volume formulas for a sphere (8.G.9).
- Applications with mixed shapes (8.G.9)
- Reflections over the axes (8.G.3)
- Reflections over any line (8.G.3)
- Rotations: 90 degree clockwise and counter-clockwise (270 degree rotation), 180 degree. (8.G.3)
- Translations ‐‐ write the rule (8.G.3)
- Dilations, similarity, and congruence (8.G.3; 8.G.4; 8.G.5)
- Combinations of transformations (8.G.2)
- Identify multi‐step transformations (8.G.2)
- Graphically organize the following number systems: Natural/Counting Numbers (i.e., Whole Numbers, Integers, Rational Numbers, Irrational Numbers, and Real Numbers); know the definitions and classify Rational and Convert repeating and terminating decimals into fractions ‐ use an algebraic method for repeating decimals Convert a fraction into a decimal (8.NS.1); compare and order rational and irrational numbers (8.NS.2)
- Find square roots and cube roots (using technology); know how to square and cube a number (8.EE.2); approximate a square root between two integers and locate them on a number (8.NS.2)
- Explain a proof of the Pythagorean Theorem and its converse (8.G.6); given the side lengths of a triangle, prove that it is (or is not) a right triangle (this is the converse)
- Apply the Pythagorean Theorem to determine the hypotenuse or the legs (8.G.7)
What Course(s) follow Math 7 Accelerated?
What Course(s) follow Math 7 Accelerated?
The Algebra 1R (MS) and Algebra 1A (MS) curricula share many core topics but differ in pacing, depth, and the long-term math pathways available to students. Algebra 1A ultimately covers more content at a faster pace, including additional topics such as inverse functions, advanced transformations, and more complex applications of algebraic concepts.
The "A" pathway is ultimately designed to prepare students for AP Calculus BC in their senior year, a course that covers both Calculus 1 and Calculus 2 in a single year, similar to a college-level sequence taught over two semesters.
The "R" pathway is designed to prepare students for AP Calculus AB in their senior year, which covers college Calculus 1 over a full year, or one of our concurrent enrollment Calculus 1 courses.
To explore these pathways further, please visit our Acceleration & Electives webpage HERE.
The "A" pathway is ultimately designed to prepare students for AP Calculus BC in their senior year, a course that covers both Calculus 1 and Calculus 2 in a single year, similar to a college-level sequence taught over two semesters.
The "R" pathway is designed to prepare students for AP Calculus AB in their senior year, which covers college Calculus 1 over a full year, or one of our concurrent enrollment Calculus 1 courses.
To explore these pathways further, please visit our Acceleration & Electives webpage HERE.
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