Algebra 2 - Reveal Math
Algebra 2 - Reveal Math
The Grade 11 Algebra 2 course in the "Reveal Math" series delves into advanced algebraic concepts, helping students build a strong mathematical foundation. Here's a concise summary:
Key Topics:
Polynomial Functions:
Understanding, analyzing, and graphing polynomial functions.
Operations with polynomials, including addition, subtraction, multiplication, and division.
Theorems related to polynomials, such as the Remainder and Factor Theorem.
Rational Functions:
Simplifying, analyzing, and graphing rational functions.
Operations with rational expressions.
Solving rational equations and understanding asymptotic behavior.
Exponential and Logarithmic Functions:
Exploring the properties and applications of exponential functions.
Understanding logarithms, their properties, and their relationship to exponentials.
Solving exponential and logarithmic equations.
Sequences and Series:
Investigating arithmetic and geometric sequences and series.
Using formulas to find specific terms and sums of sequences.
Conic Sections:
Analyzing and graphing parabolas, ellipses, hyperbolas, and circles.
Understanding the geometric definitions and properties of conic sections.
Probability and Statistics:
Exploring concepts of probability, including conditional probability and independent events.
Analyzing data using statistical measures and understanding distributions.
Trigonometry:
Understanding the unit circle, trigonometric functions, and their properties.
Solving trigonometric equations and applying trigonometry to real-world problems.
Throughout the course, students engage in problem-solving and critical thinking activities, apply algebraic concepts to real-world situations, and use technology to explore and visualize mathematical ideas. The curriculum aims to enhance students' mathematical reasoning and prepare them for higher-level math courses.
Activity Distribution
13 sections • 201 activities
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Module 1 Relations and Functions (Worksheet)
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1-1 01 Identify the domain, range, and codomain in each graph, then determine if it is onto
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1-1 02 Define the domain and range of the function and state whether it is one-to-one, onto, both, or neither
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1-1 03 Determine whether each function is discrete, continuous, or neither
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1-1 04 Intervals, and Set-builder notation
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1-1 05 Write the domain and range of the graph in set-builder notation and interval notation
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1-1 Functions and Continuity (Homework)
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1-2 01 Determine whether each function is a linear function
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1-2 02 estimate the x- and y-intercepts
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1-2 03 Identify the type of symmetry for the graph of each function
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1-2 04 Determine whether each function is even, odd, or neither
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1-2 Linearity, Intercepts, and Symmetry (homework)
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1-3 01 Identify the values of the extrema (Max. and Min.)
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1-3 02 Describe the end behavior of each function
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1-3 Extrema and End Behavior (Homework)
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1-4 Sketching Graphs and Comparing Functions
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1-5 01 Graph an equation by using a table
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1-5 02 Graph the equation using the x- and y-intercepts
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1-5 03 Graph the equation using slope and y-intercept
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1-5 04 Graphing linear inequality
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1-5 Graphing Linear Functions and Inequalities (Homework)
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1-6 01 Graphing a piecewise function
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1-6 02 Graphing step function
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1-6 03 Graphing the absolute value function
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1-6 04 Write a piecewise function for each graph
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1-7 01 What is the meaning of the transformation of the function
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1-7 02 Describe each translation as it relates to the graph of the parent function
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1-7 03 Describe each dilation and reflection as it relates to the parent function
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1-7 04 Describe the transformation as it relates to the graph of the parent function
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1-7 05 Use the graph of each translated parent function to write its equation
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1-7 Transformations of Functions
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1-8 General test 1
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1-8 General test 2
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1-8 General test 3
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1-8 General test 4
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1-8 General test 5
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Module 2 Linear Equations, Inequalities, and Systems
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2-1 01 Solve each equation
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2-1 02 Solve each inequality
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2-1 03 Solving equations in Problem solving
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2-1 04 Solve each equation or formula for the specified variable
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2-1 05 Find the related function for each equation
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2-1 Solving Linear Equations and Inequalities
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2-2 01 Solve the absolute value equation with a number on the RHS
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2-2 02 Solve the absolute value equation with an expression on the RHS
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2-2 03 Solve the absolute value inequality
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2-2 04 Solve the absolute value inequality with a fraction
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2-2 Solving Absolute Value Equations and Inequalities
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2-3 01 Find the slope of the line from the graph
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2-3 02 Find the slope of the line from the equation
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2-3 03 Find the slope of the line using two points
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2-3 04 Write each equation in standard form. Identify A, B, and C
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2-3 05 Write each equation in slope-intercept form. Identify m and b
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2-3 06 Write each equation in point-slope form
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2-3 07 Write linear equation in point-slope, slope-intercept, and standard form
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2-3 08 Write a linear equation in point-slope form using two points
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2-3 09 Write a linear equation in point-slope form using problem-solving
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2-4 01 Types of Graphs at the Systems of Equations
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2-4 02 Determine the number of solutions for each system
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2-4 03 Solve the system of equations by graphing
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2-5 01 Use substitution to solve each system of equations
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2-5 02 Use elimination to solve each system of equations
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2-5 03 Solve problem solving using the system of equations
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2-6 01 Solve each system of inequalities (two inequalities)
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2-6 02 Solve each system of inequalities (three inequalities)
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2-7 01 Optimization with Linear Programming
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2-8 01 Systems of Equations in Three Variables
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2-8 02 Systems of Equations in Three Variables
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2-9 01 Solving Absolute Value Equations and Inequalities by Graphing
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2-9 02 Solving Absolute Value Equations and Inequalities algebraically
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2-11 General Test 1
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2-11 General Test 2
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Module 3 Quadratic Functions (Worksheet)
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3-1 01 Quadratic Functions
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3-1 02 Graph the Quadratic Functions
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3-1 03 State the domain and range. Find the y-intercept, the equation of the axis of symmetry. maximum or a minimum value
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3-1 04 Compare the graph of f(x) to a quadratic function g(x)
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3-1 05 Determine the average rate of change of f(x) over the specified interval
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3-1 Graphing Quadratic Functions
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3-2 01 Find the x-intercept(s) of each function
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3-2 02 Use a quadratic equation to find two real numbers with a sum of A and a product of B
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3-2 03 Use the tables to determine the location of the zeros
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3-2 Solving Quadratic Equations by Graphing
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3-3 01 Complex Numbers
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3-3 02 Simplify Complex Numbers
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3-3 03 Solving equation with Complex Numbers
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3-3 04 Find the values of x and y that make two equal complex no.
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3-3 05 Adding and subtracting complex numbers
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3-3 06 Multiplying complex numbers
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3-3 07 Simplifying fraction with complex numbers at denominator
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3-3 Complex Numbers
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3-4 01 Solving Quadratic Equations by Factoring (GCF)
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3-4 02 Solving Quadratic Equations by Factoring (Difference of two squares)
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3-4 03 Solving Quadratic Equations by Factoring (Perfect Square Trinomial)
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3-4 04 Solving Quadratic Equations by Factoring (Trinomial x^2)
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3-4 05 Solving Quadratic Equations by Factoring (Trinomial ax^2)
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3-4 06 Solving Quadratic Equations by Factoring (Problem Solving)
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3-4 Solving Quadratic Equations by Factoring
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3-5 01 Solving Quadratic Equations by Completing the Square
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3-5 02 Find the value of c that makes each trinomial a perfect square
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3-5 03 Solve each equation by completing the square
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3-5 04 Write each function in vertex form. Find the axis of symmetry
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3-5 05 Determine how many unique solutions there are for each equation
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3-9 General Test 1
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3-9 General Test 2
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3-9 General Test 3
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3-9 General Test 4
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3-9 General Test 5
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Module 5 Polynomial Equations (Worksheet)
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5-1 Solving Polynomial Equations by Graphing
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5-2 Solving Polynomial Equations Algebraically
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5-3 Proving Polynomial Identities
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5-4 The Remainder and Factor Theorems
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5-5 Roots and Zeros
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5-6 General Test 1
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5-6 General Test 2
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5-6 General Test 3
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5-6 General Test 4
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5-6 General Test 5
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9-1 Multiplying and Dividing Rational Expressions
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9-2 Adding and Subtracting Rational Expressions
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9-3 Graphing Reciprocal Functions
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9-4 Graphing Rational Functions
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9-5 Variation
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9-6 Solving Rational Equations and Inequalities
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9-7 Review
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G11 9-7 General Test 1
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G11 9-7 General Test 2
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G11 9-7 General Test 3
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G11 9-7 General Test 4
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G11 9-7 General Test 5
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11-1 Angles and Angle Measure
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11-2 Trigonometric Functions of General Angles
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11-3 Circular and Periodic Functions
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11-4 Graphing Sine and Cosine Functions
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11-5 Graphing Other Trigonometric Functions
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11-6 Translations of Trigonometric Graphs
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11-7 Inverse Trigonometric Functions
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11-8 Review
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G11 11-8 General Test 1
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G11 11-8 General Test 2
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G11 11-8 General Test 3
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G11 11-8 General Test 4
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G11 11-8 General Test 5
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12-1 Trigonometric Identities
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12-2 Verifying Trigonometric Identities
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12-5 Solving Trigonometric Equations
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12-3 Sum and Difference Identities
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12-4 Double-Angle and Half-Angle Identities
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12-6 Review
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G11 12-6 General Test 1
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G11 12-6 General Test 2
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G11 12-6 General Test 3
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G11 12-6 General Test 4
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G11 12-6 General Test 5