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Grade 8 - Math

Grade 8 Math


In all grade levels in Middle School, students utilize the Math in Focus Texts as well as additional resources to follow Singapore Math practices, align with Common Core and develop their proficiency in the following nine mathematical practices set forth by the National Council of Teachers of Math and the Mathematics Education Leadership Association: 

  1. Make sense of problems and persevere in solving them.
  2. Reason abstractly and quantitatively.
  3. Construct viable arguments and critique the reasoning of others.
  4. Model with mathematics.
  5. Use appropriate tools strategically.
  6. Attend to precision.
  7. Look for and make use of structure.
  8. Look for and express regularity in repeated reasoning.
  9. Solve problems in novel ways and pose new mathematical questions of interest to investigate.

Students study arithmetic, algebraic operations, and other skills as critical tools in solving problems of progressively greater complexity. Through engaging explorations and investigations, each student is challenged to achieve conceptual understanding.

Algebra I

Algebra I is a curriculum based on Singapore Math In-Focus Texts A & B Course 3.

Each unit in Math In-Focus focuses on a particular area of mathematics while presenting students with guided opportunities for mathematical analysis and problem solving. Students are also being prepared to enter High School-level mathematics, and a high priority is placed on test preparation and practice. Topics covered in Algebra I include:

  • Exponents
  • Scientific Notation
  • Algebraic Linear Equations
  • Lines and Linear Equations
  • Systems of Linear Equations
  • Functions
  • The Pythagorean Theorem
  • Geometric Transformations
  • Congruence and Similarity
  • Statistics 
  • Probability
  • Real number system 
  • Properties of real numbers 
  • Order of operations & absolute value 
  • Evaluating expressions 
  • Simplifying expressions 
  • Combining like terms 
  • Simplifying expressions 
  • Translating expressions 
  • Solving two-step equations and inequalities
  • Monomials; add, subtract, multiply (product rule) 
  • Quotient rule 
  • Negative exponents 
  • Scientific notation 
  • Graphing exponential functions 
  • Exponential growth and decay 
  • Geometric sequences 
  • Simplifying radicals; square and cube roots 
  • Monomial square roots 
  • Relations, domain, range 
  • Functions vs. relations 
  • Continuous relations, domain, range 
  • Functions 
  • Real world graphs
  • Graphing functions 
  • Function tables 
  • Function notation 
  • Zeros of functions 
  • Analyzing graphs 
  • Arithmetic sequence
  • Multi-step equations 
  • Variables on both sides 
  • Infinite & no solution equations 
  • Algebraic proportions 
  • Absolute value equations 
  • Multi-variable (literal equations) 
  • Word problems 
  • Multi-step inequalities 
  • Compound inequalities 
  • Absolute value inequalities
  • Slope from a graph and  formula 
  • Slope-intercept form vs. standard form 
  • Graphing linear equations (slope-intercept form & x- and y- intercepts) 
  • Vertical and horizontal lines 
  • Writing linear equations given point & slope 
  • Writing linear equations given two points 
  • Linear equation word problems 
  • Parallel & perpendicular lines 
  • Writing parallel or perpendicular lines 
  • Scatter plots 
  • Line of best fit 
  • Linear regression 
  • Direct and inverse variation
  • Solving system of equations by graphing, substitution, elimination
  • Comparing methods to solve systems 
  • Solving systems by matrices 
  • Linear inequalities 
  • System of linear inequalities
  • Intro to polynomials 
  • Dividing polynomials by a monomial 
  • Factoring polynomials 
    • GCF
    • Difference of squares 
  • Factoring polynomials: trinomials
  • Factoring polynomials: four terms 
  • Dividing polynomials by a binomial
  • Intro to quadratic equations 
  • Graphing quadratics 
  • Vertex form of a quadratic 
  • Transformations 
  • Quadratic roots 
  • Solving quadratic equations by;
    • Factoring 
    • Square roots 
    • Completing the square 
    • Quadratic formula 
  • Methods comparison; choosing the best method 
  • Area & consecutive integer problems 
  • Linear vs. quadratic modes
  • Statistics overview 
  • Box-whisker plots 
  • Stem-and-leaf plots 
  • Histograms 
  • Stats on the calculator 
  • Measures of dispersion 
  • Normal distribution 
  • Z-scores