Grade 9 Essential and Extended Mathematics Outcomes

July, 2009

Grade 9: Essential Outcomes
Outcome / Big Idea / Essential Questions
N9.1 Demonstrate (concretely, pictorially, and symbolically) understanding of powers with integral bases (excluding base 0) and whole number exponents including:representing using powers, evaluating powers, powers with an exponent of zero,
solving situational questions. / Powers can be evaluated using exponent laws. / How are exponent laws used to evaluate powers? Why is this important?
N9.2 Demonstrate understanding of rational numbers including:
comparing and ordering
relating to other types of numberssolving situational questions. / Rational numbers can be compared and used with order of operations. / How are the rules for order of operations applied to rational numbers? How can we compare rational numbers?
N9.3 Extend understanding square roots to include the square root of positive rational numbers. / Similar to positive integers, positive rational numbers have square roots. / How are the square roots of positive integers and positive rational numbers related? What does knowing this help us to do?
P9.1 Demonstrate understanding of linear relations including:
• graphing
• analyzing
• interpolating and extrapolating
• solving situational questions. / The graph of the linear relation is a picture of a line that is used to predict and to show relationships. / What are graphs of linear relations and how do we use them?
Grade 9: Essential Outcomes
Outcome / Big Idea / Essential Questions
P9.2. Model and solve situational questions using linear equations ofthe form:
  • ,
  • ,
  • ,
where a, b, c, d, e and f are rational numbers. / Equality is always preserved when solving linear Equations. An equal sign distinguishes a linear equation from a linear expression. / How is equality preserved when solving linear equations? What are the relationships between linear expressions and linear equations?
P9.3 Demonstrate understanding of single variable linear inequalities with rational coefficients including: solving inequalities, verifying, comparing, graphing. / Inequalities and equalities have similar properties and important differences that can be identified in their solutions and/or their graphs. / How are inequalities/equalities similar/different? Why is knowing these properties important?
SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right triangular prisms, and composite 3-D objects. / Our knowledge of the area of 2-D shapes helps us find the surface area of composite 3-D objects. / How are the area of 2-D shapes and the surface area of composite 3-D objects related? How does knowing this help us?
SS9.3. Demonstrate understanding of similarity of 2-D shapes. / Similar 2-D shapes have the same shape and must have a scale factor. / How are similarity and scale factor related? Where/how does this relate to objects in our world?
SP9.1 Demonstrate understanding of the effect of:bias, use of language, ethics, cost, time and timing, privacy, cultural sensitivity, andpopulation or sampleon data collection. / There are many factors that can influence data collection. / What are the factors that affect data collection? Why is it important to understand them?
Grade 9 Extended Outcomes
Outcome / Big Idea / Essential Questions
P9.4 Demonstrate understanding of polynomials (limited to polynomials of degree less than or equal to 2) including: modeling, generalizing strategies for addition, subtraction, multiplication, and division, analyzing, relating to context, comparing for equivalency. / Our previous work with numbers, such as computing, comparing, and representing, helps us understand polynomials. / How do polynomials connect to our work with numbers? What does this understanding allow us to do?
SS9.1 Demonstrate understanding of circle properties including: Perpendicular line segments from the centre of a circle to a chord bisect the chord, inscribed angles subtended by the same arc have the same measure, the measure of a central angle is twice the measure of an inscribed angle subtending the same arc, tangents to a circle are perpendicular to the radius ending at the point of tangency. / There are relationships between lines, line segments, arcs, angles, and a circle. / What are the relationships between lines, line segments, arcs, angles, and a circle? What does understanding these relationships this allow us to do?
SS9.4 Demonstrate understanding of line and rotation symmetry. / Many shapes or designs have line and/or rotational symmetry. / What shapes/objects have line, or rotational symmetry? Where/how does this relate to objects/shapes in our world?
SP9.3 Demonstrate an understanding of the role of probability in society.
SP9.4 Research and present how First Nations and Métis peoples, past and present, envision, represent, and make use of probability and statistics
SP9.2 Demonstrate an understanding of the collection, display, and analysis of data through a project.