Integrated Math 1
Quarter 3
Chapters 8-10
Chapters 8-10
The Mathematics Department has organized the topics of Integrated Math 1 Quarter 3 to continue work with linear expression structures through linear inequalities. Then Chapter 9 starts to transition from linear into quadratic expressions.
Chapter 8 - Linear Inequalities builds on Chapter 3 work with inequalities and transitions to graphing linear inequalities. Building on Chapter 7 work with systems of equations, this chapter analyzes systems of linear inequalities.
Chapter 9 - Polynomials and Equivalent Expressions introduces polynomial expressions common in work with quadratic expressions. This chapter covers addition, subtraction, and multiplication with polynomials, as well as, the exponent rules to simplify exponential expressions.
Chapter 10 - Quadratic Functions and Graphs begins with an analysis of the forms of quadratic functions. Common skills with quadratic expressions, such as factoring and completing the square, are used to write quadratic functions in different forms. Chapter 10 introduces solving quadratic equations using Desmos.com.
Algebra » Reasoning with Equations & Inequalities A.REI.3 🔗 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Algebra » Reasoning with Equations & Inequalities A.REI.12 🔗 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
Algebra » Reasoning with Equations & Inequalities A.REI.12 🔗 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
Algebra » Reasoning with Equations & Inequalities A.REI.12 🔗 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
Algebra » Reasoning with Equations & Inequalities A.REI.12 🔗 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
Algebra » Reasoning with Equations & Inequalities A.REI.12 🔗 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Functions » Interpreting Functions F.IF.1 🔗 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
Functions » Interpreting Functions F.IF.2 🔗 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
Functions » Interpreting Functions F.IF.1 🔗 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
Functions » Interpreting Functions F.IF.2 🔗 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Functions » Interpreting Functions F.IF.1 🔗 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
Functions » Interpreting Functions F.IF.2 🔗 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Functions » Interpreting Functions F.IF.1 🔗 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
Functions » Interpreting Functions F.IF.2 🔗 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
Functions » Interpreting Functions F.IF.1 🔗 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
Functions » Interpreting Functions F.IF.2 🔗 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
Chapter 8
Linear Inequalities
· · · · ·
Lesson 8.1 Solve Inequalities Using a Negative Multiplicative Inverse
Lesson 8.2 Check if an Ordered Pair is a Solution to a Linear Inequality
Lesson 8.3 Identify Graphs of Linear Inequalities
Lesson 8.4 Graph Linear Inequalities
Lesson 8.5 Analyze Systems of Linear Inequalities using Desmos.com
Lesson 8.6 Graph the Solution Region of a System of Linear Inequalities
Chapter 9
Polynomials and Equivalent Expressions
· · · · ·
Lesson 9.1 Combine Polynomials
Lesson 9.2 Use Exponent Rules to Multiply
Lesson 9.3 Multiply Polynomials
Lesson 9.4 Simplify Polynomials
Lesson 9.5 Rewrite Special Pattern Polynomials
Lesson 9.6 Use Exponent Rules to Simplify Expressions with Fractions
Chapter 10
Quadratic Functions and Graphs
· · · · ·
Lesson 10.1 Identify The Intercepts And Vertex Of A Quadratic Function Graph
Lesson 10.2 Analyze Quadratic Function Forms
Lesson 10.3 Factor Quadratic Expressions (a=1)
Lesson 10.4 Write Quadratic Function in Factored Form
Lesson 10.5 Completing The Square
Lesson 10.6 Write Quadratic Function in Vertex Form
Lesson 10.7 Solve Quadratic equations using Desmos.com
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