Building Connections
http://illuminations.nctm.org/LessonDetail.aspx?ID=L282
A lesson plan for Grades 9–12 Algebra 1, Algebra 2, Integrated Mathematics 1, Integrated Mathematics 2, Integrated Mathematics 3, and Technical Mathematics 2
About this resource
- Appropriate grades
- 9–12
- Provider
- National Council of Teachers of Mathematics
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In this lesson from Illuminations, students explore connections among graphical and algebraic representations of linear, quadratic, and higher-degree polynomial functions.
The questions in the activity sheets allow students to make connections between the x-intercepts of the graph of a polynomial and the polynomial's factors. This activity is designed for students who already have a strong understanding of linear functions, some knowledge of quadratic functions, and what is meant by a polynomial function. Therefore, the lesson would only be used in part in Algebra 1 or Integrated Mathematics 1 classes.
North Carolina Curriculum Alignment
Mathematics (2004)
Grades 9–12 — Algebra 1
- Goal 1: Number and Operations - The learner will perform operations with numbers and expressions to solve problems.
- Objective 1.01: Write equivalent forms of algebraic expressions to solve problems.
- Apply the laws of exponents.
- Operate with polynomials.
- Factor polynomials.
- Objective 1.01: Write equivalent forms of algebraic expressions to solve problems.
- Goal 4: Algebra - The learner will use relations and functions to solve problems.
- Objective 4.02: Graph, factor, and evaluate quadratic functions to solve problems.
Grades 9–12 — Algebra 2
- Goal 2: Algebra - The learner will use relations and functions to solve problems.
- Objective 2.02: Use quadratic functions and inequalities to model and solve problems; justify results.
- Solve using tables, graphs, and algebraic properties.
- Interpret the constants and coefficients in the context of the problem.
- Objective 2.06: Use cubic equations to model and solve problems.
- Solve using tables and graphs.
- Interpret constants and coefficients in the context of the problem.
- Objective 2.02: Use quadratic functions and inequalities to model and solve problems; justify results.
Grades 9–12 — Integrated Mathematics 1
- Goal 1: Number and Operations - The learner will perform operations with numbers and expressions to solve problems.
- Objective 1.01: Write equivalent forms of algebraic expressions to solve problems.
- Apply the laws of exponents.
- Operate with polynomials.
- Factor polynomials.
- Objective 1.01: Write equivalent forms of algebraic expressions to solve problems.
- Goal 4: Algebra - The learner will use relations and functions to solve problems.
- Objective 4.01: Use linear functions or inequalities to model and solve problems; justify results.
- Solve using tables, graphs, and algebraic properties.
- Interpret the constants and coefficients in the context of the problem.
- Objective 4.01: Use linear functions or inequalities to model and solve problems; justify results.
Grades 9–12 — Integrated Mathematics 2
- Goal 4: Algebra - The learner will use relations and functions to solve problems.
- Objective 4.02: Use quadratic functions to model and solve problems; justify results.
- Solve using tables, graphs, and algebraic properties.
- Interpret the constants and coefficients in the context of the problem.
- Objective 4.02: Use quadratic functions to model and solve problems; justify results.
Grades 9–12 — Integrated Mathematics 3
- Goal 3: Algebra - The learner will use relations and functions to solve problems.
- Objective 3.02: Use quadratic functions and inequalities to model and solve problems; justify results.
- Solve using tables, graphs, and algebraic properties.
- Interpret the constants and coefficients in the context of the problem.
- Objective 3.02: Use quadratic functions and inequalities to model and solve problems; justify results.
Grades 9–12 — Technical Mathematics 2
- Goal 2: Algebra - The learner will use relations and functions to solve problems.
- Objective 2.01: Use quadratic equations to model and solve problems; justify results.
- Solve using tables, graphs, and algebraic properties.
- Interpret the constants and coefficients in the context of the problem.
- Objective 2.01: Use quadratic equations to model and solve problems; justify results.
