Geometer’s Sketchpad Wallpaper
Target Audience: An entry geometry class, either honors 8th grade or early high school.
Goal/Idea: To have students understand rotations, reflections and translations. Students will design a geometric “wallpaper” and apply translations to the design.
Resources: Geometer’s Sketchpad software
Standards: G.2.4: Apply transformations to polygons in order to determine congruence, similarity, symmetry, and tessellations. Know images formed by slides, flips, and turns are congruent to original shape.
Linear Equations in slope-intercept form
Target Audience: An Algebra I class, early in the class or semester.
Goal/Idea: To have students understand slope intercept form and how the slope and y-intercept change the look of the line. Students will analyze sets of equations where slopes, or y-intercepts vary. This will allow students to see how graphs change, by holding variables constant.
Resources: Graphing calculators, overhead, and overhead calculator.
Standards: A1.4.1: Graph a Linear Equation
A1.4.2: Find the slope, x-intercept and y-intercept of a line given its graph, its equation, or two points on the line
Frequency of Music Notes
Target Audience: A high school precalculus class
Goal/Idea: Students will understand graphing sine and cosine curves, in relation to the frequency of the music notes from tuning forks. This includes the changing of the period of the graphs.
Resources: Graphing Calculator, Calculator-based Labs (CBL), and tuning forks
Standards: PC.4.5: Define and graph trigonometric coverage
PC.4.6: Find domain, range, intercepts, periods, amplitudes, and asymptotes of trig functions.
PC.4.7: Draw and analyze graphs of translations of trigonometric functions, including period, amplitude, and phase shift.
Tuesday, February 27, 2007
Reflection 7
Target Audience: Geometry students, grade 10-11.
Big Idea: Have students understand what is really needed to prove geometric concepts.
Goal: Have students examine properties of quadrilaterals and start to make informal conjectures and proofs related to those quadrilaterals.
Standards: G.3.1, G.8.3
Possible Resources: Geoboards, Geometers Sketchpad
Target Audience: Grades 7-8
Big Idea: Students further understanding of the coordinate plane.
Goal: To provide practice plotting and naming points on a coordinate grid using Battleship.
Standards: 7.4.1, 7.4.2, 8.3.5
Possible Resources: Battleship Game
Target Audience: Geometry Classroom
Big Idea: Helps students understand how parts of a funtion relate to the whole part.
Goal: To let students distinguish difference in shapes and see patterns in the shapes.
Standards: G.3.1, G.3.3, G.8.7
Possible Resources: Pattern Blocks http://nlvm.usu.edu/en/nav/frames_asid_171_g_4_t_4.html?open=activities
Big Idea: Have students understand what is really needed to prove geometric concepts.
Goal: Have students examine properties of quadrilaterals and start to make informal conjectures and proofs related to those quadrilaterals.
Standards: G.3.1, G.8.3
Possible Resources: Geoboards, Geometers Sketchpad
Target Audience: Grades 7-8
Big Idea: Students further understanding of the coordinate plane.
Goal: To provide practice plotting and naming points on a coordinate grid using Battleship.
Standards: 7.4.1, 7.4.2, 8.3.5
Possible Resources: Battleship Game
Target Audience: Geometry Classroom
Big Idea: Helps students understand how parts of a funtion relate to the whole part.
Goal: To let students distinguish difference in shapes and see patterns in the shapes.
Standards: G.3.1, G.3.3, G.8.7
Possible Resources: Pattern Blocks http://nlvm.usu.edu/en/nav/frames_asid_171_g_4_t_4.html?open=activities
Sunday, February 25, 2007
Reflection 7
Target Audience of the Lesson:
This lesson is targeted for Algebra I students. These students may be in grades 8 – 10.
Overall Goal of the Lesson:
The goal of this lesson is for students to learn how to factor the difference of two squares, perfect square trinomials, and the difference of two cubes.
Student Learning Objectives:
After the lesson students should be able to:
• identify and factor binomials that are the differences of squares
• identify and factor perfect square trinomials
• identify and factor difference of two cubes
Assessment: (Go back to your learning objectives. What will the students do to demonstrate they have met the learning objectives? Make sure each objective is paired to an assessment measure)
To demonstrate that the students have met the learning objectives, a worksheet can be given to each student. This worksheet will have multiple problems for them to complete including differences of squares, perfect square trinomials, and difference of two cubes. Students could also be given a short quiz over the lesson with each type of task described during the next class period.
Indiana Content Standards Addressed: (Copy and paste entire standard from http://www.indianastandards.org/)
A1.6.5 : Divide polynomials by monomials. Resource
A1.6.6 : Find a common monomial factor in a polynomial.
A1.6.7 : Factor the difference of two squares and other quadratics. Resource
Target Audience of the Lesson:
This lesson is designed for an Algebra I class. It is targeted towards students in grades 8 and 9.
Overall Goal of the Lesson:
The overall goal of this lesson is getting students to learn how to multiply polynomials using the FOIL method and Distributive Properties. Another goal is to have students learn how to multiply polynomials in real-life situations.
Student Learning Objectives:
After the lesson students will be able to:
• Classify a polynomial by degree and by number of terms
• Multiply polynomials by using the Distributive Property
• Multiply two polynomials using FOIL
• Apply polynomials to real-life situations
Assessment: (Go back to your learning objectives. What will the students do to demonstrate they have met the learning objectives? Make sure each objective is paired to an assessment measure)
In order to demonstrate that the students have met the learning objectives, you can write problems on the chalkboard or overhead projector. Students will have to either solve the problems themselves or give the instructor step by step instructions to solve the problems. Students can be given worksheets to work on in class and turn them in by the end of the period. Lastly, students can be given homework problems out of the book to work on at home and returned by next class period.
Indiana Content Standards Addressed: (Copy and paste entire standard from http://www.indianastandards.org/)
A1.6.1 : Add and subtract polynomials. Resource
A1.6.2 : Multiply and divide monomials. Resource
A1.6.3 : Find powers and roots of monomials (only when the answer has an integer exponent).
A1.6.4 : Multiply polynomials. Resource
A1.6.6 : Find a common monomial factor in a polynomial. Resource
Target Audience of the Lesson:
This lesson is designed for middle school math. It is targeted towards students in grades 6 and 7 learning about fractions.
Overall Goal of the Lesson:
The overall goal of this lesson is to introduce the concept of common denominators. Another goal is to get students involved in interactive activities by using felt board fraction shapes.
Student Learning Objectives:
After the lesson students will be able to:
• Show awareness of the concept of fraction equivalencies and common denominators
• Correctly write addition equations that represent various felt board equations
Assessment: (Go back to your learning objectives. What will the students do to demonstrate they have met the learning objectives? Make sure each objective is paired to an assessment measure)
To demonstrate that the students have met the learning objectives they should write addition equations on their paper that equal the given felt board fractions. Students could pose their own fractions to their peers. Afterwards, students should solve addition equations together in class. Finally, students could be given worksheets with colored fractions and addition equations. They would have to write addition problems or vice versa for their answers and turn them in during the next class period.
Indiana Content Standards Addressed: (Copy and paste entire standard from http://www.indianastandards.org/)
6.1.4 : Convert between any two representations of numbers (fractions, decimals, and percents) without the use of a calculator. Resource
6.1.6 : Use models to represent ratios. Resource
6.1.7 : Find the least common multiple and the greatest common factor of whole numbers. Use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form for a fraction). Resource
This lesson is targeted for Algebra I students. These students may be in grades 8 – 10.
Overall Goal of the Lesson:
The goal of this lesson is for students to learn how to factor the difference of two squares, perfect square trinomials, and the difference of two cubes.
Student Learning Objectives:
After the lesson students should be able to:
• identify and factor binomials that are the differences of squares
• identify and factor perfect square trinomials
• identify and factor difference of two cubes
Assessment: (Go back to your learning objectives. What will the students do to demonstrate they have met the learning objectives? Make sure each objective is paired to an assessment measure)
To demonstrate that the students have met the learning objectives, a worksheet can be given to each student. This worksheet will have multiple problems for them to complete including differences of squares, perfect square trinomials, and difference of two cubes. Students could also be given a short quiz over the lesson with each type of task described during the next class period.
Indiana Content Standards Addressed: (Copy and paste entire standard from http://www.indianastandards.org/)
A1.6.5 : Divide polynomials by monomials. Resource
A1.6.6 : Find a common monomial factor in a polynomial.
A1.6.7 : Factor the difference of two squares and other quadratics. Resource
Target Audience of the Lesson:
This lesson is designed for an Algebra I class. It is targeted towards students in grades 8 and 9.
Overall Goal of the Lesson:
The overall goal of this lesson is getting students to learn how to multiply polynomials using the FOIL method and Distributive Properties. Another goal is to have students learn how to multiply polynomials in real-life situations.
Student Learning Objectives:
After the lesson students will be able to:
• Classify a polynomial by degree and by number of terms
• Multiply polynomials by using the Distributive Property
• Multiply two polynomials using FOIL
• Apply polynomials to real-life situations
Assessment: (Go back to your learning objectives. What will the students do to demonstrate they have met the learning objectives? Make sure each objective is paired to an assessment measure)
In order to demonstrate that the students have met the learning objectives, you can write problems on the chalkboard or overhead projector. Students will have to either solve the problems themselves or give the instructor step by step instructions to solve the problems. Students can be given worksheets to work on in class and turn them in by the end of the period. Lastly, students can be given homework problems out of the book to work on at home and returned by next class period.
Indiana Content Standards Addressed: (Copy and paste entire standard from http://www.indianastandards.org/)
A1.6.1 : Add and subtract polynomials. Resource
A1.6.2 : Multiply and divide monomials. Resource
A1.6.3 : Find powers and roots of monomials (only when the answer has an integer exponent).
A1.6.4 : Multiply polynomials. Resource
A1.6.6 : Find a common monomial factor in a polynomial. Resource
Target Audience of the Lesson:
This lesson is designed for middle school math. It is targeted towards students in grades 6 and 7 learning about fractions.
Overall Goal of the Lesson:
The overall goal of this lesson is to introduce the concept of common denominators. Another goal is to get students involved in interactive activities by using felt board fraction shapes.
Student Learning Objectives:
After the lesson students will be able to:
• Show awareness of the concept of fraction equivalencies and common denominators
• Correctly write addition equations that represent various felt board equations
Assessment: (Go back to your learning objectives. What will the students do to demonstrate they have met the learning objectives? Make sure each objective is paired to an assessment measure)
To demonstrate that the students have met the learning objectives they should write addition equations on their paper that equal the given felt board fractions. Students could pose their own fractions to their peers. Afterwards, students should solve addition equations together in class. Finally, students could be given worksheets with colored fractions and addition equations. They would have to write addition problems or vice versa for their answers and turn them in during the next class period.
Indiana Content Standards Addressed: (Copy and paste entire standard from http://www.indianastandards.org/)
6.1.4 : Convert between any two representations of numbers (fractions, decimals, and percents) without the use of a calculator. Resource
6.1.6 : Use models to represent ratios. Resource
6.1.7 : Find the least common multiple and the greatest common factor of whole numbers. Use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form for a fraction). Resource
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