MFM1P+Tips

= Grade 9 Applied: Content and Reporting Targets  =

** Mathematical Processes across all strands and terms:  **
 * // Problem Solving, Reasoning and Proving, Reflecting, Selecting Tools and Computational Strategies, Connecting, Representing, and Communicating.  //**

· Perimeter and area of composite shapes · Pythagorean theorem · Volume of 3-D figures (developing formulas) · Simplifying numerical expressions · Exponents || ** Measurement ** · Optimization of measurements of rectangles · Scatter plots · Lines of best fit · Substituting into and solving equations || ** Linear Relations ** · Investigating data (linear and non-linear) · Lines and curves of best fit · First differences · Simplifying numerical expressions || ** Number Sense and Algebra ** · Ratio, rate, proportion · Percents, decimals || ** Linear Relations ** · Constant rate of change <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Initial value <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Direct and partial variation <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Using fractions and decimals || ** Linear Relations ** <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Determining values <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Story graphs <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Comparing models <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Changing the graph <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Points of intersection <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Solving equations || ** Linear Relations ** <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Connection and application of algebraic models <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Simplifying algebraic expressions || ** Measurement ** <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Plane geometry concepts <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Solving equations in context <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Working on smaller content targets will promote student success by focussing on fewer key concepts than might be included in larger units of study. <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Facilitates staff communication about individual students learning goals in credit recovery situations. <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Expectations for the Number Sense and Algebra strand are addressed within the contexts of measurement and linear relations throughout the course as recommended in the curriculum policy document. <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Students develop an increased understanding of how to apply Number Sense and Algebra skills in a wide variety of contexts. <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Measurement activities are authentic tasks that appeal to kinesthetic learners, appropriate at the beginning of the Grade 9 Applied program, when students are making the transition to secondary school and before algebraic skills are well developed. <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Teachers can observe students’ reasoning, representing, and problem-solving skills in contexts that can be illustrated with concrete materials and visual representations. <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Students should feel comfortable with this material as an extension of Grade 8 math, and this may ease the transition into Grade 9 math. <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Perimeter, area and volume provides the context for work with powers to degree 3. <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Optimization problems provide meaningful contexts for using numerical and graphical models and for combining fractions with integers and equations. <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Students develop, build on and extend inquiry skills. <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Students develop an understanding of the connections between proportional reasoning, rates, ratios, percents, and linear relationships in a wide variety of contexts. <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Students prepare to apply the concepts of constant rates of change and initial value to direct and partial variation in Unit 5. <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Teachers have addressed appropriate behaviour and care in use of technology. <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Visual and hands-on activities provide variety that appeal to students with different learning styles. <span style="font-family: Symbol; font-size: 8pt; mso-bidi-font-family: Symbol; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: Symbol; msobidifontfamily: Symbol; msobidifontsize: 10.0pt; msofareastfontfamily: Symbol; msolist: Ignore;">· Depending on availability of technological resources, teachers may choose to use: - a full lab; - a limited number of computers; - teacher demonstration. ||
 * Introductory Unit ||  Unit 1  ||  Unit 2  ||  Unit 3  ||  Unit 4  ||  Unit 5  ||  Unit 6  ||  Unit 7  ||  *Unit 8  ||
 * This 2-day unit activates students’ prior knowledge before Unit 1: Measurement || ** Measurement **
 * Number Sense and Algebra **
 * Linear Relations **
 * Number Sense and Algebra **
 * Number Sense and Algebra **
 * Number Sense and Algebra **
 * Number Sense and Algebra **
 * Number Sense and Algebra **
 * Number Sense and Algebra **
 * * ** This unit could stand alone and can be placed anywhere within the course. ||
 * Rationale ||
 * ** Dividing the expectations into 8 units: **
 * Number Sense and Algebra included in all units: **
 * Positioning Measurement for Units 1–2: **
 * Positioning Number Sense and Algebra for Unit 4: **
 * Positioning Measurement for Unit 8: **
 * Inclusion of instructional technology: **