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Grade 9 & 10 Math

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Grade 9 & 10 Math GRADE 9 & 10 MATH TABLE OF CONTENTS MEETING THE EXPECTATIONS page 2 STUDENT ACTIVITIES page 9 SUMMATIVE ASSESSMENT page 30 CANADA’S WONDERLAND – Math Grades 9 & 10 1 GRADE 9 & 10 MEETING THE EXPECTATIONS MEETING THE EXPECTATIONS CW Physics, Science & Math Day Activities A correlation with the Ontario Mathematics Curriculum, Grade 9 CANADA’S WONDERLAND – Math Grades 9 & 10 2 Activity 9 Applied Expectations 9 Academic Expectations Money, Money, Number Sense and Algebra Linear Relations Money NS 1: solve problems involving proportional LR 2: demonstrate an understanding of the reasoning. characteristics of a linear relationship NS 9: simplify numerical expressions LR 8: construct tables of values, graphs, involving integers and rational numbers, and equations, using a variety of tools (e.g., with and without the use of technology graphing calculators, spreadsheets, NS 4: represent, using equivalent ratios graphing software, paper and pencil), to and proportions, directly proportional represent linear relations derived from relationships arising from realistic descriptions of realistic situations situations LR 16: describe the effects on a linear NS 8: solve problems requiring the graph and make the corresponding expression of percents, fractions, and changes to the linear equation when the decimals in their equivalent forms (e.g., conditions of the situation they represent calculating simple interest and sales tax; are varied analysing data) NS 7: solve problems involving ratios, rates, and directly proportional relationships in various contexts (e.g., currency conversions, scale drawings, measurement), using a variety of methods (e.g., using algebraic reasoning, equivalent ratios, a constant of proportionality; using dynamic geometry software to construct and measure scale drawings) Linear Relations LR 2: determine the characteristics of linear relations LR 9: construct tables of values and graphs, using a variety of tools to represent linear relations derived from descriptions of realistic situations LR 21: describe the effects on a linear graph and make the corresponding changes to the linear equation when the conditions of the situation they represent are varied LR 22: determine graphically the point of intersection of two linear relations, and interpret the intersection point in the context of an application MEETING THE EXPECTATIONS Grade 9 Activity 9 Applied Expectations 9 Academic Expectations Testing, Linear Relations Linear Relations CANADA’S WONDERLAND – Math Grades 9 & 10 3 Testing, 1-2-3 LR 1: apply data-management techniques LR 1: apply data-management techniques to investigate relationships between two to investigate relationships between two variables variables; LR 5: interpret the meanings of points on LR 5: pose problems, identify variables, scatter plots or graphs that represent linear and relations, including scatter plots or graphs formulate hypotheses associated with in more than one quadrant relationships between two variables LR 6: pose problems, identify variables, and LR 6: design and carry out an investigation formulate hypotheses associated with or experiment involving relationships relationships between two variables between two variables, including the LR 7: carry out an investigation or collection and organization of data, using experiment involving relationships appropriate methods, equipment, and/or between two variables, including the technology collection and organization of data, using LR 7: describe trends and relationships appropriate methods, equipment, and/or observed in data, make inferences from technology data, compare the inferences with LR 8: describe trends and relationships hypotheses about the data, and explain observed in data, make inferences from any differences between the inferences data, compare the inferences with and the hypotheses hypotheses about the data, and explain any differences between the inferences and the hypotheses Food For Number Sense and Algebra Measurement and Geometry Thought NS 1: solve problems involving MG 2: solve problems involving the proportional reasoning measurements of two-dimensional shapes NS 7: solve problems involving ratios, and the surface areas rates, and directly proportional and volumes of three-dimensional relationships in various contexts (e.g., figures currency conversions, scale drawings, MG 14: solve problems involving the measurement), using a variety of methods surface areas and volumes of prisms, (e.g., using algebraic pyramids, cylinders, cones, and reasoning, equivalent ratios, a constant of spheres, including composite proportionality; using dynamic geometry figures software to construct and measure scale drawings) NS 6: make comparisons using unit rates Measurement and Geometry MG 2: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures MG 11: solve problems involving the volumes of prisms, pyramids, cylinders, cones, and spheres MEETING THE EXPECTATIONS Grade 9 CANADA’S WONDERLAND – Math Grades 9 & 10 4 Activity 9 Applied Expectations 9 Academic Expectations Just Measure It! Number Sense and Algebra NS 1: solve problems involving proportional reasoning NS 7: solve problems involving ratios, rates, and directly proportional relationships in various contexts (e.g., currency conversions, scale drawings, measurement), using a variety of methods (e.g., using algebraic reasoning, equivalent ratios, a constant of proportionality; using dynamic geometry software to construct and measure scale drawings) The Linear Relations Linear Relations Mathemagical LR 2: determine the characteristics of LR 2: demonstrate an understanding of the Kingdom - The linear relations characteristics of a linear relation Right Price LR 9: construct tables of values and LR 8: construct tables of values, graphs, graphs, using a variety of tools to represent and equations, using a variety of tools (e.g., linear relations derived from descriptions graphing calculators, spreadsheets, of realistic situations graphing software, paper and pencil), to LR 4: connect various representations of a represent linear relations derived from linear relation, and solve problems using descriptions of realistic situations the representations. LR 13: determine values of a linear relation LR 15: express a linear relation as an by using a table of values, by using the equation in two variables, using the rate of equation of the relation, and by change and the initial value interpolating or extrapolating from the LR 17: determine values of a linear relation graph of the relation by using a table of values, by using the LR 15: determine other representations of equation of the relation, and by a linear relation, given one representation interpolating or extrapolating from the graph of the relationship LR 19: determine other representations of a linear relation arising from a realistic situation, given one representation LR 22: determine graphically the point of intersection of two linear relations, and interpret the intersection point in the context of an application MEETING THE EXPECTATIONS Grade 9 Activity 9 Applied Expectations 9 Academic Expectations The Linear Relations Linear Relations CANADA’S WONDERLAND – Math Grades 9 & 10 5 Mathemagical LR 1: apply data-management techniques LR 1: apply data-management Kingdom - to investigate relationships between two techniques to investigate Down by the variables relationships between two variables Bay LR 5: interpret the meanings of points on LR 5: pose problems, identify variables, scatter plots or graphs that represent linear and formulate hypotheses associated with relations, including scatter plots or graphs relationships between two variables in more than one quadrant LR 7: describe trends and relationships LR 6: pose problems, identify variables, and observed in data, make inferences from formulate hypotheses associated with data, compare the inferences with relationships between two variables hypotheses about the data, and explain LR 8: describe trends and relationships any differences between the inferences observed in data, make inferences from and the hypotheses data, compare the inferences with hypotheses about the data, and explain any differences between the inferences and the hypotheses Measurement and Geometry Measurement and Geometry MG 1: determine, through investigation, MG 1: determine, through investigation, the optimal values of various the optimal values of various measurements of rectangles; measurements MG 5: determine the minimum perimeter MG 7: explain the significance of optimal of a rectangle with a given area by area, surface area, or volume in various constructing a variety of rectangles, using a applications variety of tools (e.g., geoboards, graph MG 8: pose and solve problems involving paper, a premade dynamic geometry maximization and minimization of sketch), and by examining various values of measurements of geometric shapes and the side lengths and the perimeter as the figures area stays constant; MG 6: solve problems that require maximizing the area of a rectangle for a fixed perimeter or minimizing the perimeter of a rectangle for a fixed area The Number Sense and Algebra Mathemagical NS 1: solve problems involving Kingdom – Scale proportional reasoning 11 Diagrams NS 7: solve problems involving ratios, rates, and directly proportional relationships in various contexts (e.g., currency conversions, scale drawings, measurement), using a variety of methods (e.g., using algebraic reasoning, equivalent ratios, a constant of proportionality;
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