Units

• LOGISTICS, RESOURCES, & REGISTRATION
• Unit 1: Operators Explore numbers and basic operations using the properties of mathematics. 2 weeks
  • § 1.1 - 1.5 : Operatorsreview operators including exponents as we prepare to study algebra. 1 hr
  • §1.6 - 1.9 : Order of Operations & Distributive PropertyExplore the order of operations and expanding math expressions using the distributive property. 45 min
  • §1 : ReviewA short review of the operators covered in unit 1. 45 min
• Unit 2: Functions & Graphs Explore basic functions and graphs and how they meet on the cartesian plane. 2 weeks
  • § 2.1 - 2.3 : FunctionsExplore the definition of a function, how to visualize a function on a coordinate plane, and how to tell when a set of numbers or a graph is a function. 45 min
  • § 2.4 - 2.6 : Direct & Inverse VariationWrap up the second half of unit 2 on functions by exploring diverse and inverse variation. 1 hr
  • § 2 : ReviewReview functions including direct and inverse variation. 30 min
• Unit 3: Integers Explore integers, both positive and negative, and their relationships using the operations and coordinate plane. 2 weeks
  • § 3.1- 3.4 : Negative IntegersExplore negative integers on the coordinate plane. 40 min
  • § 3.5 - 3.7 : Practice with Negative IntegersTest your knowledge of operations by completing them with negative integers 30 min
  • § 3 : ReviewReview integers including negative and positive on the coordinate plane. 30 min
• Unit 4: Rational Numbers Explore rational numbers through definition and by exploring absolute value and approximations. 1 week
  • § 4 : Live ClassExplore rational numbers through definition and absolute value 30 min
  • § 4 : ReviewReview rational numbers including definitions, approximation, and absolute value. 45 min
• Jacobs' Fall Semester Assessments
• Unit 5: Equations in One Variable Work with equations involving one variable including inverse operations, length and area conversions, and rate problems. 3 weeks
  • § 5.1 - 5.3 : Simple equations with one variableLearn the golden rule and inverse operators to start solving simple equations. 45 min
  • § 5.4 - 5.6 : Solving equations with one variableReview algebraic properties and how we use them to solve equations with one variable. 30 min
  • § 5.7 - 5.8 : Rate ProblemsLearn how to solve rate problems by following five simple steps. 30 min
  • § 5 : ReviewReview equations of one variable including rate problems. 45 min
• Unit 6: Equations in Two Variables Explore the ins and outs of graphing equations with two variables. 2 weeks
  • § 6.1 - 6.3 : Equations with Two VariablesLearn about equations with two variables and how the graph shows the solutions. 30 min
  • § 6.4 - 6.6 : Intercept, Slope, & GraphingLearn how to graph an equation using the slope and intercepts. 45 min
  • § 6 : ReviewReview solving systems of linear questions with substitution. 1 hr
• Unit 7: Simultaneous Equations solve systems of linear equations with two variables. 2 weeks
  • § 7.1 - 7.4 : Simultaneous EquationsLearn how to solve simultaneous equations using addition, subtraction, and graphing. 45 min
  • § 7.5 - 7.7 : Simultaneous Equations part 2Learn how to solve simultaneous equations using substitution 45 min
  • § 7 : ReviewReview solving simultaneous equations 1 hr
  • § 1 - 7 : Fall Review Question SessionReview rate problems and simultaneous equations by completing some examples. 30 min
• Unit 8: Exponents Explore properties of exponents and how to follow these properties to simplify a problem. 2 weeks
  • § 8.1 - 8.4 : ExponentsReview exponents by working through the three laws and discover what the values of 0 and negative exponents are. 45 min
  • § 8.5 - 8.7 : Scientific Notation, Exponent lawsExplore exponents further by learning two more laws and practicing with scientific notation 45 min
  • § 8 : ReviewReview properties of exponents and how to follow them. 45 min
• Unit 9: Polynomials Explore polynomials by defining monomials, binomials, and applying the distributive property. 2 weeks
  • §9.1-9.4 : Monomials, Binomials, Adding, & MultiplyingIntroducing monomials, binomials, polynomials, adding like terms, and multiplying all in one! 45 min
  • § 9.5-9.7 : Squaring & Dividing PolynomialsReview multiplying and learn how to divide polynomials 45 min
  • § 9 : ReviewReview polynomials by defining monomials, binomials, and polynomials 1 hr
• Unit 10: Factoring Factor monomials, binomials, and polynomials including recognizing special patterns. 2 weeks
  • §10.1 - 10.4 : FactoringJoin me as we start to look at factors of polynomials 45 min
  • § 10.5 - 10.8 : Factoring Squares & more!Work with more patterns in factoring polynomials 45 min
  • § 10 : ReviewReview factoring monomials, binomials, and polynomials 1 hr
• Unit 11: Fractions Explore the arithmetic of fractions and then apply those laws to fractions containing polynomials. 2 weeks
  • § 11.1 - 11.4 : Algebraic FractionsBasic Introduction to algebraic fractions by starting with what we know. 30 min
  • § 11.5 - 11.8 : Complex Algebraic FractionsLearn the three step process to simplifying complex algebraic fractions 45 min
• Unit 12: Radicals Study the origin of the radical and how the properties of radicals can be used with variables. 2 weeks
  • § 12.1 - 12.4 : Square RootsReview the basics of square roots and learn how to apply a root as an exponent for clarification. 45 min
  • § 12.5 - 12.7 : Properties of RootsPractice working with radicals by applying properties 45 min
  • § 12 : ReviewReview the origin and properties of radical. 45 min
• Unit 13: Quadratic Equations Solving quadratic equations by graphing, factoring, completing the square, also solving higher exponential polynomials. 3 weeks
  • § 13.1 - 13.3 : Graphing QuadraticsStart solving quadratic equations by learning how to graph them using tables. 1 hr
  • § 13.4 -13.6 : Solving by Factoring, etc.Learn the three main methods that we use to solve quadratics using algebra 45 min
  • §13.7 - 13.9 : Quadratic FormulaLearn the origin of the quadratic formula and how to use it to solve for a quadratic. 45 min
  • § 13 : ReviewReview solving quadratic by various means 1 hr 30 min
• Unit 14: Real Numbers Examine the set of real numbers by looking at its subsets: irrational and rational numbers. 1 week
  • § 14.1 - 14.5 : Real NumbersExplore real numbers and focus on converting rational numbers from decimal to quotients, especially numbers with a repeating decimal 45 min
  • § 14 : ReviewReview the set of real numbers by exploring its subsets, rational and irrational numbers. 40 min
• Unit 15: Fractional Equations Solve equations that contain ratios and proportions. 1 week
  • § 15.1 - 15.5 : Algebraic FractionsReview ratios and explore solving algebraic fractions 60 min
  • § 15 : ReviewReview solving problems that include ratios and proportions. 40 min
• Unit 16: Inequalities Explore meaning behind inequalities, and how to graph them and solve for x. Also, brief introduction to solving for x within an absolute value. 1 week
  • § 16 : ReviewReview the meaning behind inequalities including graphing and solving for x. 40 min
• Unit 17: Number Sequences Explore arithmetic and geometric number sequences including finding terms and computing the sum of terms. 1 week
  • § 17 : ReviewReview arithmetic and geometric number sequences including finding terms and computing the sums of terms. 30 min
• Jacobs' Year End Review 1 hour