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Image: '[|wired to go]' http://www.flickr.com/photos/53611153@N00/310941758 Why have gold medal performances in the Olympics improved since the first Olympic games in 1896? ||  || Health and Social Education ||
 * ** Unit Question ** || ** Significant Concept ** || ** Area of Interaction ** ||
 * How can knowledge of straight line functions improve our understanding of health and fitness?


 * ** Vocabulary ** || ** Assessment Tasks ** ||
 * List vocab here or link to another page? ||  ||   || **A** || **B** || **C** || **D** || **E** || **F** ||
 * Equations and Inequalities Test || x ||  || x ||   || x ||   ||
 * Modeling Olympic Data ||  ||   || x || x || x ||   ||
 * Linear Functions Test || x ||  ||   ||   || x ||   ||


 * **Topic** || **Notes** || **Other Resources** ||
 * 1. || link to document 1link to something elselink to another thing || text book linkwiki linkwebsite link ||
 * 2. || link to OneNote pagelink to another one || text book linkinteractie applet link ||
 * 3. ||  ||   ||
 * 4. ||  ||   ||
 * 5. ||  ||   ||

Home Grade Level: 9 Strand: algebra and functions

**all things straight!**

How can knowledge of straight line functions improve our understanding of health and fitness? Why have gold medal performances in the Olympics improved since the first Olympic games in 1896?
 * AoI link: health and social education**


 * Guiding Questions**


 * 1) What are functions in general and how can we represent functions?
 * 2) What can we learn about the graphs of straight line functions?
 * 3) How can we tell whether two quantities will produce data which is linear?
 * 4) What characteristics must we observe in the data if we are to state that there is a linear relationship?


 * Content: ||  || Extended Content ||

absolute value functions
 * * algebraic expressions
 * linear equations
 * word problems
 * linear functions
 * linear models
 * literal equations
 * linear inequalities in one and two variables
 * linear systems ||  ||   || *

absolute value inequalities ||
 * Outcomes: ||  || Extended Outcomes/Skills ||


 * * **simplify** algebraic expressions by combining like terms.
 * **evaluate** algebraic expressions for given values of a variable.
 * **solve** multi-step linear equations.
 * **solve** literal equations by changing the subject of a formula
 * **convert** sentences into mathematical equations.
 * **solve** word problems leading to linear equations. ||

graph the absolute value function and solve equations using absolute value
 * **distinguish** between a relation and a function.
 * **use** proper function notation to describe functions and find unknown values.
 * **make extensive use** of their graphing calculators to graph linear functions, adjust windows, find function values and zeros.
 * **use** a graph to find the value of a function
 * **calculate** and **interpret** gradients (slopes) as rates of change.
 * **move confidently** between algebraic and graphical forms of linear functions
 * use linear functions to **model** real-life data.
 * **solve** simultaneous equations in two variables through elimination, substitution and graphing.
 * **graph** and **find** the solution set to a system of linear inequalities.
 * **represent** the solution sets of linear inequalities using set notation, graphs and interval notation.
 * solve simple and compound linear inequalities.

||
 * find solutions to inequalities involving absolute value



**resources AND KEY UNIT LINKS**

text reference : Haese and Harris Textbook: ** Chapter 6 Coordinate Geometry **** Chapter 13 Formulae **** Chapter 17 Simultaneous Equations ** **lesson sequence**
 * Title || Description ||
 * Pre - Assessment || Are you ready to proceed with this unit? Take this test. ||
 * SparkNotes || Use these as an alternative explanation when lessons are not well understood. ||
 * [|Linear Equations Easy] || Review ||
 * [|Linear Equations Hard] || Review ||
 * [|Word Problems] || Review ||
 * [|Solving Equations Level 1] || Back to basics ||
 * [|Solving Equations Level 2] || Intermediate explanations and practice ||
 * [|Solving Equations Level 3] || Advanced ||


 * ||  || **Lesson** ||   || **Activities/Teaching Notes** ||   || **Homework and Practice** ||


 * 1 ||  || [|Algebraic Patterns] ||   || * review the distributive property
 * collect like terms
 * solve linear equations in one variable. || [|Algebra Worksheet][|Solving Equations][|Solving Rational Equations] ||


 * 2 ||  || [|Magic Squares] ||   || * build magic squares using consecutive numbers
 * learn some properties of magic squares. What makes them truly magic?
 * apply what you know about collecting like terms, evaluating algebraic expressions.
 * magic square classroom investigation || [|Create your own magic square task] ||

[|Word Problems involving formulae] ||  || * translate problems into mathematical expressions and equations. [|Practice 2] ||
 * 3 ||  || [|Word Problems involving number and age]
 * solve word problems involving number, age and formulae. || [|Practice 1]

[|Compound Inequalities] ||  || * solve linear inequalities in the same way that we solve linear equations.
 * 4 ||  || [|Linear Inequalities]
 * represent the solution to a linear inequality using a graph, set notation or interval notation. || [|Linear Inequalities Worksheet] [|Compound Inequalities Worksheet] ||


 * 5 ||  || [|Word Problems involving inequalities] ||   || * solve word problems involving inequalities || [|Worksheet] ||

[|Solving Equations Review] [|Solving Equations Review - Challenge] [|Inequalities Mixed Practice] [|Inequalities Word Problems] ||
 * ||  || Review Problems ||   || * Review of first part of unit || [|Equations Word Problems]


 * 6 ||  || [|Introduction to Functions] ||   || * what is a function? How do we use mathematical symbols to denote functions? || [|Worksheet] ||


 * 7 ||  || [|Evaluating Functions] ||   ||   ||   || [|Worksheet] ||

[|Rise/Run] [|Slope Games] [|More practice] [|Slope and Equation of a Line Practice] ||
 * 8 ||  || [|Linear Functions] ||   || * a review of linear functions - slope of a line, equation of a line, graphing a line || Practice attached to lesson

[|Graphing Global Mean temperature in Autograph] [|How to import data from the internet into a spreadsheet] [|How to import data from a spreadsheet into Autograph] [|Modeling olympic data - track and field winners] ||
 * 9 ||  || [|Modelling with Linear Functions] ||   || * learn how to enter data into your GDC and find equations of lines which represent this data.
 * [|Criterion D Olympics modeling task] || Attached to lesson


 * 10 ||  || [|Linear Systems - Introduction] ||   || * solve a linear system of equations using a graphical technique
 * [|Points of Intersection Task] ||  ||


 * 11 ||  || [|Solving linear systems - all methods] ||   || * these pages summarize the work learned in the Points of Intersection task || [|Solving Linear Systems Practice] ||


 * 14 ||  ||   ||   ||   ||   ||   ||


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 * 20 ||  ||   ||   ||   ||