What's the difference between Mathmatics 1 and Algebra 1?
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Algebra 1 is a "traditional" course covering linear equations, algebraic expressions, and some simple functions. (See https://www.khanacademy.org/math/algebra for a full set of Khan's curricula)
Mathematics 1 is an "integrated" course mixing both algebraic and geometric topics. In a perfect world, this mixing would be done at the activity-level: you'd have questions about algebraic expressions which relate to geometric objects, or your simple quadratic functions would be tied to questions about a circle's area. In practice, (and in Khan's structure), you often get a block of Algebra followed by a block of Geometry. (See https://www.khanacademy.org/math/math1)
If you are homeschooling your 9th grader (and don't already have a curriculum), I'll actually recommend Khan's EngageNY collection. This is an Algebra 1 sequence which follows the freely-available curriculum from New York State Education Department. It's not the easiest to navigate, but the lessons are well-designed: https://www.engageny.org/resource/high-school-algebra-i
(If you are not homeschooling, check with your students teacher! They will know if your school is set up to follow an Integrated curriculum or a Traditional structure.)
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