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St. John’s College Freshman Math Expectations
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| All 8th grade students should have mastered: 1. Arithmetic concepts to include adding, subtracting, multiplying, dividing of whole numbers, fractions, decimals and integers (without a calculator). 2. Understanding of exponents 3. Apply P.E.M.D.A.S. (order of operations) 4. Simplify like terms : 2x + 5y -6x –9y 5. Solve a simple linear equation: 9x + 3 = 14x + 8 6. Apply the distributive property: -5(3x + 7) 7. Graph ordered pairs on a coordinate plane. 8. Basic geometry formulas: area and perimeter of squares, rectangles,triangles, trapezoids Organizational skills: |
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| Incoming Freshman who are interested in the SJC Honors math program take a placement test in late March/early April. The test consists of 40 problems for which students must show algebraic work. Calculators are allowed. Topics include: Order of operations, which include parentheses, brackets and braces Solving linear and quadratic equations Solving proportions Solving simple and compound inequalities Solving systems of equations Multiplying polynomials Factoring polynomials Graphing linear equations Writing equations of lines given coordinates of 2 points and given slope and 1 point By the end of the 8th grade school year students scheduled for the Honors program should also have studied: 1. Finding the slope of a line given two points 2. Writing the equation of a line given two points using 3. Graphing linear equations 4. Solving a linear system of equations by the substitution method and by the linear combination method 5. Setting up and solving a word problem using a linear system 6. Graphing a quadratic equation: find the vertex and axis of symmetry. 7. Factoring a quadratic . 8. Factoring by grouping 9. Solving a quadratic equation by factoring, completing the square and/or the quadratic formula. 10. Solving and graphing linear inequalities, and compound inequalities 11. Solving absolute value equations and inequalities, to include compound inequalities, intersections and unions. 12. Powers and exponents, both positive and negative. 13. Scientific notation. 14. Ratio and proportions 15. Simplifying radicals and solving radical equations. 16. The Pythagorean Theorem 17. Simplifying rational expressions 18. Multiplying/dividing rational expressions 19. Add/subtracting rational expressions Thank you for your interest in Mathematics. |
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