Unit Three Plan

Grade 9 Mathematics

Length of unit: 5 weeks

Unit 3: Algebra

Unit Question: What is a system?

Areas of Interaction: Human Ingenuity: Decoding a system leads to the solution of a problem.

What work am I going to do in this unit?

¨ Evaluating Expressions with Substitution

¨ Operations on Polynomials

¨ Long and Synthetic Division of Polynomials

¨ Solving Simple and Complex Linear Equations and Inequalities

¨ Changing the subject

¨ Conceptually understand simultaneous equations

¨ Solve simultaneous equations by substitution/elimination/graphing

¨ Choose a method for solving simultaneous equations

¨ Translating worded scenarios into simultaneous equations

¨ Matrix addition, subtraction, scalar and matrix multiplication EXT

¨ Encoding simultaneous equations into matrices and solving EXT

¨ Applying understanding to real-world problems

What skills/concepts will I need to use?

¨ Communication skills

¨ Arithmetic skills

¨ Algebraic skills

¨ Technology skills

How will I know that I have been successful? I will:

¨ Demonstrate understanding of the skills and concepts by doing well the Unit test (criteria A and C)

¨ Complete the assigned homework. (Criterion C)

¨ Keep an organised and up-to-date notebook (Commitment to Learning)

¨ Demonstrate my understanding on the investigations: Backpackers Problem (Criteria A, C and D); Simultaneous Equations Investigation (Criteria B and C); Word Problems Investigation (Criterion C)

¨ Stay focused during class (Commitment to Learning)

Classroom requirements: pen, pencil, ruler, eraser, Graphing Calculator, A-4 paper

Text Book Reference: Mathematics for the International Student MYP 4: Chapters 17 and 18 (EXT) http://www.bbc.co.uk/education/mathsfile/shockwave/games/planethop.html http://www.media.pearson.com.au/schools/cw/au_sch_bull_gm12_1/dnd/2_sim_a.html http://www.gcsemathstutor.com/gg-alg-simult-01.php http://www.mathwarehouse.com/algebra/linear_equation/systems-of-equation/interactive-system-of-linear-equations.php http://www.onlinemathlearning.com/long-division-polynomial.html http://mathworld.wolfram.com/SyntheticDivision.html http://www.helpalgebra.com/articles/syntheticdivision.htm

Unit Two Plan

Grade 9   Mathematics

Length of unit: 4 weeks

Unit Two: Trigonometry

Unit Question: How can our desire to save the environment become enhanced by learning more about it?

Area of Interaction: Environment: Environmental conservation often depends on precise measurements.

What work am I going to cover in this unit?

• Pythagoras’ theorem
• Trigonometric ratios and their application in different contexts
• Sine and Cosine Rules (EXT)
• Vectors and Bearings (EXT)

What other skills/concepts will I need to use? You will have to:

• create diagrams to represent problems.
• apply substitution and manipulate simple equations.
• use metric units for length, area and volume.

How will I know that I have been successful? I will:

• show I understand the skills and concepts by doing well on quizzes and tests that will assess my knowledge of geometric concepts (criteria A and C)
• complete all the homework and class-work that is set (Commitment to Learning)
• keep my notebook organised and up-to-date (Commitment to Learning)
• meet the criteria set on the investigations: Beyond Pythagorus (criteria B, D); Geomatics Investigation (A, C, D); Dr. Gao Dilemma Activity (A); Investigation (Vectors Investigation (B, C) EXT

Classroom requirements:

• Pen, pencil, ruler, protractor, compasses, eraser, graphical calculator

Mathematics for the International student: MYP 4: Chapters 12 and 23 (EXT) http://www.mathsnet.net/dynamic/pythagoras/index.html http://www.intmath.com/Trigonometric-functions/4_Right-triangle-applications.php http://www.wheelercreek.com/capstone/trigInteractive.html http://www.math.ubc.ca/~morey/java/pyth/ http://illuminations.nctm.org/ActivityDetail.aspx?ID=42 http://illuminations.nctm.org/ActivityDetail.aspx?ID=43

 

Unit Two: Trignometry

Length of unit: 4 weeks

Unit Two: Trigonometry

Unit Question: How can our desire to save the environment become enhanced by learning more about it?

Area of Interaction: Environment: Environmental conservation often depends on precise measurements.

What work am I going to cover in this unit?

• Pythagoras’ theorem
• Trigonometric ratios and their application in different contexts
• Sine and Cosine Rules (EXT)
• Vectors and Bearings (EXT)

What other skills/concepts will I need to use? You will have to:

• create diagrams to represent problems.
• apply substitution and manipulate simple equations.
• use metric units for length, area and volume.

How will I know that I have been successful? I will:

• show I understand the skills and concepts by doing well on quizzes and tests that will assess my knowledge of geometric concepts (criteria A and C)
• complete all the homework and class-work that is set (Commitment to Learning)
• keep my notebook organised and up-to-date (Commitment to Learning)
• meet the criteria set on the investigations: Beyond Pythagorus (criteria B, D); Geomatics Investigation (A, C, D); Dr. Gao Dilemma Activity (A); Investigation (Vectors Investigation (B, C) EXT

Classroom requirements:

• Pen, pencil, ruler, protractor, compasses, eraser, graphical calculator

Mathematics for the International student: MYP 4: Chapters 12 and 23 (EXT) http://www.mathsnet.net/dynamic/pythagoras/index.html http://www.intmath.com/Trigonometric-functions/4_Right-triangle-applications.php http://www.wheelercreek.com/capstone/trigInteractive.html http://www.math.ubc.ca/~morey/java/pyth/ http://illuminations.nctm.org/ActivityDetail.aspx?ID=42 http://illuminations.nctm.org/ActivityDetail.aspx?ID=43

Student Discussion Place

Please post your Comments and Questions here!

MYP4 Unit One Plan

MYP 4Mathematics

 Length of unit: 3 weeks

Unit 1: Exponents, Indices and Radicals

Unit Question: How big is forever?

Area of Interaction: Human Ingenuity

What work am I going to cover in this unit?

¨       Exponent Notation and Rules for Indices

¨       Negative and Fractional Exponents

¨       Evaluating Exponential Expressions

¨       Simple Exponential Equations (EXT)

¨       Using index laws with fractional indices to simplify and calculate the value of numerical expression

¨       Operations in scientific notation

¨       Operations with radicals (EXT)

Vocabulary: Power, exponent, base, index, root, significant figures, rounding, scientific notation

What other skills/concepts will I need to use?

¨                   Communication skills

¨                   Effective use of a calculator

¨                   Problem-solving skills

¨                   Recognising patterns and making generalisations

How will I know that I have been successful? I will:

¨       show I understand the skills and concepts by doing well on assessments (Criteria A and C)

¨       demonstrate my understanding on the investigations: Chessboard (Criteria B, C, D); Fractional Indices ((Criteria B, C, D); Surds ((Criteria C, D).

¨       complete all the homework and class work that is set (Criterion C)

¨       keep my notebook organised and up-to-date (Engagement)

¨       stay focused during class (Engagement)

 

Classroom requirements:

¨                   Pen, pencil, ruler, A-4 paper, eraser, graphical calculator

Resources: Mathematics for the International Student MYP4: Chapter 5 Video: Cantor, God and Infinity. BBC Dangerous knowledge 1, from 3:20 ep1 to 3:20 ep2 http://www.youtube.com/watch?v=Cw-zNRNcF90&feature=related

           

Welcome to Year Nine ISF Maths

I am excited about teaching Year Nine Maths at ISF this year.

Here is a little information about me. I have taught Maths for 26 years, in the US, Italy, Portugal and now Hong Kong. I think Maths is a very useful subject. I believe in teaching my students how the maths we are studying are used in real life - so we will be investigating as many real-world applications as possible this year.

I will use this blog to post homework assignments, answer questions and present requested solutions. I will be posting (and I ask that you post as well) maths notes on our wiki at: mathnotesinternational.pbworks.com

Please post a comment with your own brief biography so we can get to know each other better.

I am looking forward to a very successful year!