Onsted High School Mathematics - Ms. Hoff

Weekly Objectives/Goals & Agenda

Week of May 30, 2016 - June 3, 2016

Exam Review

Week of May 23, 2016 - May 24, 2016

Students will be able to:​​​

• demonstrate knowledge and understanding of circles, parts of circles (their relationships and properties), solving systems of equations, solving application problems

• find the probability of independent and dependent events

• construct and interpret two-way tables of data when two categories are associated with each object being classified

• use the two-way table as a sample space 

• calculate conditional probabilities

• recognize and explain the concept of conditional probability (in everyday language and everyday situations)
   

Monday: Circles Test Review

Tuesday: Circles Test

Wednesday: Probability

Thursday: Probability

Friday: Probability

Week of May 16, 2016 - May 20, 2016

Students will be able to:​​​

• distribute and solve multi-step equations

• multiply binomials using the FOIL or Distribution methods

• factor a quadratic equation and then find solutions for x

• write the equation of a circle when given a center and radius/diameter

• write the equation of a circle from a given graph

• write the equation of a circle given the center and a point on the circle or the circumference

• identify radius/diameter and center of a circle when given an equation

• solve a system of equations by graphing (graphing lines and circles)

• solve a system of equations algebraically

Monday: Algebra Skills

Tuesday: Equations of Circles

Wednesday: Equations of Circles

Thursday: Equations of Circles

Friday: Begin Test Review

Week of May 9, 2016 - May 13, 2016

Students will be able to:​​​

• review vocabulary associated with circle parts

• identify and describe relationships among parts of circles

• discuss how to differentiate between arc measure and arc length

• give an informal argument for the area of a sector and for arc length

• apply properties of arc lengths, area of sectors, and arc measures to solve application/word problems and interpret answers in context

• determine the and practice solving problems using the relationships between central angles and inscribed angels in a circle

• determine and apply the relationships between tangent lines and circles

Monday: Arc Measure and Area of Sectors Application Problems

Tuesday: Inscribed Angles (Possbile Quiz)

Wednesday: Inscribed Angles

Thursday: Tangent Lines

Friday: Tangent Lines

Week of May 2, 2016 - May 6, 2016

Students will be able to:​​​

• define the various parts that make up a circle

• draw visual examples of the parts of circles

• practice identifying parts of the circle

• identify and describe relationships among inscribed angles, radii, and chords

• review and recall the area of a circle and circumference formulas

• find the area of a sector of a circle from a formula they derive

• calculate arc length in a circle 

• discuss the relationships between arc degree measure and central angles in a circle

Monday: Circles Vocabulary and Identifying Circle Parts

Tuesday: Area of Sectors

Wednesday: NWEA

Thursday: Central Angles, Are Measures, Arc Lengths

Friday: Central Angles, Are Measures, Arc Lengths 

Week of April 25, 2016 - April 29, 2016

Students will be able to:​​​

• review prisms, cylinders, pyramids, cones and give informal arguments for the formulas used for surface area and volume

• review the definition of sphere and discuss the term hemisphere 

• calculate the surface area and volume spheres

• apply area and volume formulas/skills to solve design problems.

• able to apply properties of geometric shapes to describe 3D concepts

• calculate the volume of composite 3D figures by deconstructing into its basic 3D components

• use various volume formulas to solve design problems 

• review/recall concepts associated with areas, surface areas, and volumes of figures

• recall formulas and apply them as needed in a problem.

• interpret answers in the context of the problems and by using units of measure 

• demonstrate knowledge and understanding of area, surface area, and volume on an assessment 

Monday: Surface Area and Volume of Spheres

Tuesday: Volume of Composite 3D Figures

Wednesday: Practice SA and Volume with all Figures (possible Quiz)

Thursday: Test Review or Work on Project

Friday:  Test or Work on Project

Week of April 18, 2016 - April 22, 2016

Students will be able to:​​

• work with and classify 3D figures

• identify cross sections of three dimensional figures and use rotations to generate 3D figures from 2D ones.

• apply methods used for finding composite 2D figures in order to problem solve/determine a method to calculate the total surface area of prisms, cylinders, cones, and pyramids

• apply methods to solve design problems

• apply properties of geometric shapes to describe 3D concepts

• calculate the volume of prims, cylinders, pyramids, and cones

• incorporate various volume formulas to find solutions for design problems

Monday: Classifying 3D Shapes/Surface Area (Prisms & Cylinders)

Tuesday: Surface Area (Pyramids & Cones)

Wednesday: Surface Area (Practice will all)

Thursday: Volume (Prims and Cylinders)

Friday: Volume (Pyramids and Cones)

Week of April 11, 2016 - April 15, 2016

Students will be able to:

• explore area formulas and investigate their connection of areas of basic plane figures to composite figures

• apply area formulas to find the areas of irregular/composite shapes.

• incorporate geometric shapes, their measures, and their properties to describe objects or other figures

• apply geometric methods and formulas to solve design problems.

• work with and classify 3D figures

• apply methods used for finding composite 2D figures in order to problem solve/determine a method to calculate the total surface area of prisms, cylinders, cones, and pyramids

Monday: Areas of Composite Figures

Tuesday: Composite Figures

Wednesday: Composite Figures

Thursday: Quiz and Intro. to 3D Shapes

Friday: Begin working with Surface Area

Week of March 28, 2016 - April 1, 2016

Students will be able to:

• recall area formulas used in past mathematics course

• discuss how to derive a formula that can be used to find the area of a triangle

• determine how to find the area of a trapezoid if the formula is unknown

• explore area formulas and begin investigating the area of other plane figures by breaking them down into certain known shapes

• apply geometric methods to solve design/application problems 

• discuss how to find perimeter and area of polygons using the coordinate planes and formulas like the distance formula and using the coordinates and distance formula to compute the perimeters and areas of polygons

• apply concepts of density based on perimeter and area in modeling situations

• discover pi and the formula for circumference

• justify, through an informal argument, and use the formula for the circumference of a circle
   

Monday: Areas of Plane Figures

Tuesday: Areas of Plane Figures

Wednesday: Perimeter in the Coordinate Plane

Thursday: Circumference

Friday: Activity with Circumference

Week of March 21, 2016 - March 25, 2016

Students will be able to:

• Practice applying trapezoid properties in order to set up equations to find missing measurements

• work with a partner to discuss problem set up, compare solutions, and assist partner when needed

• Participate in classroom review of quadrilateral material

• demonstrate ability to apply and problem solve with quadrilateral material on an assessment
   

Monday: Trapezoid Partner Activity 

Tuesday: Review for Quadrilateral Test

Wednesday: Review for Quadrilateral Test

Thursday: Quadrilateral Test

Friday: No School

Week of March 14, 2016 - March 18, 2016

Students will be able to:

• review properties of parallelograms 

  • rectangle

  • rhombi

• discuss how the square incorporates all the parallelogram, rectangle, and rhombi properties and  apply this knowledge to find missing lengths or angles

• use discovered properties/criteria in order to prove that a quadrilateral is a parallelogram, rectangle, rhombi,  and/or square

  • in addition, incorporate/utilize slope and distance formula to help derive properties that will help prove a quadrilateral is a specific parallelogram (coordinate geometry)

• Students will be able to give a figure its most specific name (parallelogram, rectangle, rhombus, square, kite, trapezoid)

• apply the properties of kites and trapezoids in order to identify the shapes and solve algebraic and geometric problems related to them

Monday: Properties of Squares

Tuesday: Classifying Parallelograms in the Coordinate Plane 

Wednesday: Kites and Trapezoids 

Thursday: Classifying all quadrilaterals (1/2 day)

Friday: Kites and Trapezoids

Week of March 7, 2016 - March 11, 2016

Students will be able to:

• brainstorm possible properties about the sides, angles, and diagonals of a parallelogram

• determine and discuss the properties of parallelograms

• apply the parallelogram properties to set up, solve equations, and find missing measurements

• investigate which criteria (and why) can be used to prove that a quadrilateral is parallelogram

• define parallelogram, rectangle, and rhombus

• use definitions and parallelogram properties to determine and apply the properties of rectangles and rhombuses
   

Monday: Parallelogram Properties

Tuesday: Parallelogram Properties and Identifying Parallelograms

Wednesday: Proving Parallelograms in the Coordinate Plane

Thursday: Rectangles 

Friday: Rhombi

Week of February 29, 2016 - March 4, 2016

Students will be able to:

• use trigonometric ratio to solve right triangles

• apply inverse trig ratios to finding unknown angle measures in a right triangle

• apply trigonometric ratios to solve problems involving angles of elevation and depression

• review concepts from chapter 8 and begin participating in a collaborative classroom study session

• demonstrate knowledge and understanding of chapter 8 material on an assessment

• investigate a real life application where trig ratios are relevant and use information found to answer questions in context of the problem

• classify various polygons based on # of sides

• determine if polygons are regular or irregular

• find the individual angles of various polygons (interior and exterior)

• determine the sum of the angles of various polygons

Monday: Start Review For Chapter Test

Tuesday: Chapter 8 Trig Test

Wednesday: Trig Activity

Thursday: Introduction to Polygons

Friday: Angles of Polygons

Week of February 22, 2016 - February 26, 2016

Students will be able to:

• use trigonometric ratio to solve right triangles

• State the importance of inverse trig ratios 

• find an unknown angle measures in a right triangle

• apply trigonometric ratios to solve problems involving angles of elevation and depression

• investigate a real life application where trig ratios are relevant and use information found to answer questions in context of the problem

• review concepts from chapter 8 and begin participating in a collaborative classroom study session

Monday: Inverse Trigonometric Rations/Finding Angle Measures

Tuesday: Quiz/Angles of Elevation and Depression

Wednesday: Angles of Ele & Dep  or Trig Activity

Thursday: Trig Activity

Friday: Start Review For Chapter Test

Week of February 15, 2016 - February 19, 2016

Students will be able to:

• Discuss/explain when to use Pythagorean Theorem, when to use special right triangles

• Analyze problems and determine which of the above to use and justify 

• Solve right triangle applications problems using information learned thus far

• Demonstrate acquired understanding of Pythagorean Theorem and special right triangles on an assessment

• define adjacent, opposite, and hypotenuse as they relate to right triangles and trigonometry 

• Find the tangent, sine, and cosine ratios for acute angles in a right triangle

• Apply the setup of  trigonometric rations to solve for missing side lengths especially application problem types

Monday: No School

Tuesday: Review/application of Pythagorean Theorem, Special Right Triangles

Wednesday: Quiz and Test Reflection

Thursday: Trigonometric Ratios/Finding Missing Sides

Friday: Trig Ratios and Finding Missing Sides

Week of February 8, 2016 - February 12, 2016

Students will be able to:

• reduce a radical expression to its simplest form, recognize when the radical contains a perfect square or when the denominator needs to be rationalized

• define hypotenuse and legs of a right triangle

• apply the Pythagorean theorem to finding missing side lengths and to solve right triangles in applied problems

• identify special right triangles (30-60-90 and 45-45-90 triangles) 

• Utilize relationships among the sides of 30-60-90 and 45-45-90 right triangles to find missing measurements 

• discuss/explain when to use Pythagorean Theorem, when to use special right triangles, what they allow one to do/find, and how to apply 

Monday: Simplifying Radical Expressions

Tuesday: Pythagorean Theorem

Wednesday: Special Right Triangles

Thursday: Special Right Triangles

Friday: No School for Students

Week of February 1, 2016 - February 5, 2016

Students will be able to:

• review concepts that were on last week's quiz

  • define similar polygon and practice applying the definition

  • math up corresponding angles and corresponding sides

  • apply the concept that corresponding side lengths in similar triangles are proportional to find missing lengths

• prove that triangles are similar using the various methods learned

• apply similarity criteria and geometric methods to solve application/design problems

• participate in classroom review of the Chapter 7 concepts

• demonstrate acquired knowledge and problem solve on an assessment

Monday: Chapter 7: Review Concepts from Quiz

Tuesday: Chapter 7: Triangle Similarity Applications

Wednesday: Chapter 7: Triangle Similarity Applications

Thursday: Chapter 7 Review

Friday: Chapter 7 Test

Week of January 25, 2016 - January 29, 2016

Students will be able to:

• review key properties of dilations and how to apply them

• review the definition of rigid motion and compare rigid motions to dilations

• define similarity transformation and similarity and apply definitions to prove that 2 figures are similar figures

• prove triangles are similar using AA, SSS, and SAS

• apply similarity criteria to solve application problems, find missing angles or side lengths

• apply geometric methods to solve design problems

Monday: Chapter 7: Similarity and Transformation

Tuesday: Chapter 7: Triangle Similarity

Wednesday: Chapter 7: Triangle Similarity

Thursday: Triangle similarity activity

Friday: Quiz

Week of January 18, 2016 - January 22, 2016

Students will be able to:

• review how to set up and use ratios and proportions

• write and solve proportions

• determine corresponding side lengths of similar polygons by using ratios and proportions

• when given two figures, decide if they are similar (use definition of similarity) 

• review and state key properties of dilations

• explain how dilations can be utilized to show/determine if figures are similar

Monday: No School - MLK Day

Tuesday: Ch. 7 Similarity: Ratios and Proportions

Wednesday: Ch. 7 Similarity: Ratios in Similar Polygons

Thursday: Ch. 7 Similarity: Ratios in Similar Polygons

Friday:  Ch. 7 Similarity: Transformation and Similarity