Scaffolding Strategies Sara Collison
Sara Collisonにより
1. BIG IDEA: All functions can be written as equations and all equations that have leading term x^2 and a least term as a constant can be written with in several forms that all make a similar shaped graph. The quadratic graph is called a parabola and either looks like a U or an upside down U.
2. Math Standard: CCSS.Math.Content.HSA.REI.B.4 Solve Quadratic Equations in One Variable.
2.1. Subject and grade level: Math, Algebra 1
2.2. Objectives listed in MindMap.
2.3. The key factors about my students prior knowledge: Students understand that a function is when there is exactly one output for each input and the equations can be translated into graphs to show the continuous values that exist past a table of values.
3. Objective 1: Algebra students will be able to differentiate between quadratic functions in vertex form, standard form, and intercept form.
3.1. Scaffolding Strategy 1: Sorting Cards with variations of quadratic functions in vertex form, standard form, and intercept form.
3.2. Scaffolding Strategy 2: Fill in the blank worksheets, identifying the parts of each quadratic functions in vertex form, standard form, and intercept form based on the formula.
3.3. Scaffolding Strategy 3: Diagram and have students create a quadratic functions in vertex form, standard form, and intercept form.
4. Objective 2: Algebra students will be able to describe transformations made to the parent graph f(x)=x^2 and graph quadratic equations using the vertex form f(x)=a(x-h)^2+k formula.
4.1. Scaffolding Strategy 1: Visual demonstrations and models. Show students a variety of quadratic functions on a graph handout and students will discuss and note changes to parent graph. How is the graph different from Graph A?
4.2. Scaffolding Strategy 2: Realia. Have students make a parabola with wax stick and move it along the x-axis and y-axis, flip it, and have students squish elongate it or shrink it.
4.3. Scaffolding Strategy 3: Give students several more examples and have them complete a worksheet with blanks for the variations.