Hamilton Heights School Corporation

Algebra 8 Curriculum Map

Course Title: Algebra 8

Quarter 1:

Academic Year: 2024-25

Essential Questions How can you represent quantities, patterns, and relationships? How are properties related to algebra? Can equations that appear to be different be equivalent? How can I solve equations? What kinds of relationships can proportions represent? How do you represent relationships between quantities that are not equal? Can inequalities that appear to be different be equivalent? How can you solve inequalities?
Unit Name	Total Days	Standards Number	Knowledge Objectives	Skills Objectives	Specific Assessments	Specific Resources
Algebra Overview	20	PS.1, PS. 2,PS. 3, PS.4, PS. 6, PS.7, PS.8, A1.F.1, A1.F.2 A1.F.3 A1.F.4 A1.L.3 A1.L.4	Tables Graphs Expressions Equations	I can look at a visual pattern and connect it to a table, graph, words, visual representation and expressions/equations.	Group presentations of the work.	Mathematical Mindset Algebra (Youcubed.org)
Ch 1: Foundations of Algebra	10	PS.1, PS. 2,PS. 3, PS.4, PS. 6, PS.7, PS.8, A1.RE.3, A1.RNE.1, A1.RNE.2, A1.RNE.4, A1.DS.3, A1.L.5	Additive Inverses Algebraic Expressions Coefficient Equivalent Expressions Evaluate Integers Like Terms Order of Operations Real Numbers Simplify Term Variable	To write algebraic expressions To simplify expressions involving exponents To use order of operations to evaluate expressions To classify, graph, and compare real numbers To find and estimate square roots To identify and use properties of real numbers To find sums and differences of real numbers To find products and quotients of real numbers To use the Distributive Property to simplify expressions To use tables, equations, and graphs to describe relationships.	Exit Ticket Quizzes Ch 1 Performance Task Q1 You Be the Teacher Q1 Math Menu	MathXL Textbook Virtual Nerd Desmos Illustrative Math YouCubed IXL Delta Math
Ch 2: Solving Equations	12	A1.L.3, A1.L.11, PS.5, PS.8,	Conversion Factor Cross Products Equivalent Equations Formula Inverse Operations Literal Equation Percent Change Proportions Rate Ratio Scale Unit Analysis	To solve one-step equations in one variable To solve two-step equations in one variable To solve multi-step equations in one variable To solve equations with variables on both sides To identify equations that are identities or have no solution To rewrite and use literal equations and formulas To find rations and rates To convert units and rates To solve and apply proportions To find missing lengths in similar figures To use similar figures when measuring indirectly To solve percent problems using proportions To solve percent problems using the percent equation To find percent change To find the relative error in linear and nonlinear measurements	Exit Ticket Quizzes Ch 2 Perf. Assessment Q1 You Be the Teacher Q1 Math Menu	MathXL Textbook Virtual Nerd Desmos Illustrative Math YouCubed IXL Delta Math
Ch 3: Solving Inequalities	12 (may carry over to Q2)	PS.1, PS.2,PS.3,PS.4, PS.6, PS.7, A1.L.2, A1.L.8, A1.L9, A1.L.10	Complement of a Set Compound Inequality Disjoint Sets Empty Set Equivalent Inequalities Intersection Interval Notation Roster Form Set-Builder Notation Solution of Inequality Union Universal Set	To write, graph, and identify solutions of inequalities To use addition or subtraction to solve inequalities To use multiplication or division to solve inequalities To solve multi-step inequalities To solve and graph inequalities containing the word and To solve and graph inequalities containing the word or To solve equations and inequalities involving absolute value	Exit Ticket Quizzes Ch 3 Performance Task Q1 You Be the Teacher Q1 Math Menu	MathXL Textbook Virtual Nerd Desmos Illustrative Math YouCubed IXL Delta Math

Course Title: Algebra 8

Quarter 2:

Academic Year: 2024-25

Essential Questions How can I determine if a relation is a function? What is the difference between linear and nonlinear? Can I give examples? What is the difference between independent and dependent variables? How can I tell? How can I write an equation for a function using function notation? How can I use technology to graph, find or make predictions of a linear function? How can I write an equation to model a real-world situation? How can I assess the reasonableness of the solution set of a linear inequality? How can I analyze, classify and use technology to assess a scatter plot? How can I solve and analyze a system of equations or inequalities?
Unit Name	Total Days	Standards Number	Knowledge Objectives	Skills Objectives	Specific Assessments	Specific Resources
Ch 4: Functions	10	8.AF.6, PS.6, A1.F.1, A1.F.2, A1.F.3, A1.F.4, A2.EL.1	Continuous Graph Dependent Variable Discrete Graph Domain Function Independent Variable Linear Function Nonlinear Function Range Recursive Formula Relation Sequence		Exit Ticket Quizzes Q2 You Be the Teacher Q2 Math Menu Ch 4 Perf. Assmnt.	MathXL Textbook Virtual Nerd Desmos Illustrative Math YouCubed IXL Delta Math
Ch 5: Linear Functions	16	PS.1, PS.2, PS. 3, PS. 4, PS. 7, A1.L.4, A1.L.5, A1.L.6, A1.L.7, A1.L.10, A1.DS.2, A1.DS.3, A1.DS.4 A2. F.3	Direct Variation Linear Equation Piecewise Function Point-Slope Form Rate of Change Slope Slope-Intercept Form Standard Form Step Functions Trend line X-intercept y-intercept	To represent mathematical relationships using graphs To identify and represent patterns that describe linear functions To identify and represent patterns that describe nonlinear functions To graph equations that represent functions To write equations that represent functions To determine whether a relation is a function To find domain and range and use function notation	Exit Ticket Quizzes Q2 You Be the Teacher Q2 Math Menu Ch 5 Performance Task	MathXL Textbook Virtual Nerd Desmos Illustrative Math YouCubed IXL Delta Math

Course Title: Algebra 8

Quarter 3:

Academic Year: 2024-25

Essential Questions 1. How do properties apply to rational exponents? 2. How do I graph and use exponential functions? 3. What does it mean to factor a quadratic equation and how do I factor it? 4. How do you graph a quadratic function? 5. What is the quadratic formula? 6. What is a polynomial? 7. How do I identify an exponential function graphically, numerically, and algebraically? 8. How do I factor with polynomials and understand they are closed under the operations of addition, subtraction, and multiplication? 9. How do I solve quadratic equations?
Unit Name	Total Days	Standards Number	Knowledge Objectives	Skills Objectives	Specific Assessments	Specific Resources
Ch 6: Systems of Equations	13	PS. 5, A1.L.1, A1.L.2, A1.L.4, A1.L.7, A1.SEI.1, A1.SEI.2, A1.SEI.3, A1,SEI.4	Consistent Dependent Elimination Method Inconsistent Independent Linear Inequality Solution of an Inequality Solution of a System on Linear Equations Solution of a System of Linear Inequalities Substitution Method	To find rates of change from tables To find slope To write and graph an equation of a direct variation	Exit Ticket Quizzes Ch 6 Perf. Assmnt. Q3 You Be the Teacher Q3 Math Menu	MathXL Textbook Virtual Nerd Desmos Illustrative Math YouCubed IXL Delta Math
Ch 7: Exponents & Exponential Functions	17	PS.1, PS.2, PS.3, PS.4, PS.6, PS.7, A1.QE.1, A1.QE.2, A1.QE.3, A1.RNE.3, A1.RNE.4, A1.F.3	Compound Interest Decay Factor Exponential Decay Exponential Function Exponential Growth Geometric Sequence Growth Factor	I can simplify expressions involving exponents. I can solve problems involving exponential growth & decay. I can graph exponential functions.	Exit Ticket Quizzes Ch 7 Performance Task Q3 You Be the Teacher Q3 Math Menu	MathXL Textbook Virtual Nerd Desmos Illustrative Math YouCubed IXL Delta Math
Ch 8: Polynomials & Factoring	15	PS.8, A1.RNE.6, A1.RNE.7	Binomial Degree of a Monomial Degree of a Polynomial Difference of Two Squares Factoring by Grouping Monomial Perfect-Square Trinomial Polynomial Standard Form of a Polynomial Trinomial	I can multiply polynomials by monomials. I can multiply polynomials. I can factor polynomials.	Exit Ticket Quizzes Ch 8 Performance Task Q3 You Be the Teacher Q3 Math Menu	MathXL Textbook Virtual Nerd Desmos Illustrative Math YouCubed IXL Delta Math

Course Title: Algebra 8

Quarter 4:

Academic Year: 2024-25

Essential Questions 1. What is a radical function? 2. How do I perform operations on radical expressions? 3. How do I solve rational equations? 4. How is a survey designed and how do I evaluate the results? 5. How do I find probabilities of compound events? 6. How do I simplify square roots of non-perfect square integers and algebraic monomials? 7. How can I distinguish between correlation and causation?
Unit Name	Total Days	Standards Number	Knowledge Objectives	Skills Objectives	Specific Assessments	Specific Resources
Ch 9: Quadratic Functions & Equations	13	PS.1, PS.2, PS.3, PS.4, PS.5, PS.6, PS.7, A1.F.3, A1.QE.3, A1.QE.4, A1.QE.5, A1.QE.6 A1.QE.7	Axis of Symmetry Completing the Square Discriminant Maximum Minimum Parabola Quadratic Equation Quadratic Formula Root of an Equation Vertex	I can graph a quadratic function. I can solve a quadratic function using the quadratic formula and/or by factoring. I can identify the vertex of the quadratic. I can use the discriminant to determine the number of solutions.	Exit Ticket Quizzes Ch 9 1-4 Quiz Ch 9 6-8 Quiz Q4 You Be the Teacher Q Math Menu	MathXL Textbook Virtual Nerd Desmos Illustrative Math YouCubed IXL Delta Math
Ch 10: Radical Functions & Equations (Sections 1-3 only)	10	8GM.8, A2.CNE.2	Conditional Conjugates Extraneous Solution Hypotenuse Like Radicals Pythagorean Theorem Radical Expression Square Root Function	Solve problems using the Pythagorean Theorem. Identify right triangles. Simplify radicals involving products and quotients. Simplify sums and differences of radical expressions. Simplify products and quotients of radical expressions.	Exit Ticket Quizzes Ch 10 Performance Task Q4 You Be the Teacher Q4 Math Menu	MathXL Textbook Virtual Nerd Desmos Illustrative Math YouCubed IXL Delta Math
Ch 11: Rational Expressions & Functions (Ch 11 1,2,4 only)		PS.1, PS.2, PS.3, PS.6, PS.7, A1.RNE.5, A1.RNE.7,	Asymptote Constant of Variation for an Inverse Variation Excluded Value Inverse Variation Rational Equation Rational Expression Rational Function		Exit Ticket Quizzes Q4 You Be the Teacher Q4 Math Menu	MathXL Textbook Virtual Nerd Desmos Illustrative Math YouCubed IXL Delta Math
Ch 12: Data Analysis & Probability (Ch 12 2,3,5,7 only)		PS.5, A1.DS.1, A1.DS.2, A1.DS.5,	Combination Event Measure of Central Tendency Outcome Outlier Permutation Probability Quartile Sample Space		Exit Ticket Quizzes Q4 You Be the Teacher Q4 Math Menu	MathXL Textbook Virtual Nerd Desmos Illustrative Math YouCubed IXL Delta Math