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Education, Citizenship and Youth
Grade 10 Applied Mathematics (20S) Outcomes by Unit
Unit A: Spreadsheets
Unit B: Exploring Mathematics Using
Technology
Unit C: Technical Communication
Unit D: Linear Models and Patterns
Unit E: 2D/3D Projects
Unit F: Relations and Functions
Unit G: Coordinate Geometry
Unit H: Measurement Technology
Unit I: Trigonometry
Unit J: Data Management and Analysis
| Describe and apply arithmetic operations on tables to solve problems using technology as required |
| Use words and algebraic expressions to describe the data and interrelationships in a table with rows/columns that are not related recursively (not calculated from previous data) (A-1) |
| Create and modify tables from both recursive and non-recursive situations (A-2) |
| Use and modify a spreadsheet template to model recursive and non-recursive situations (A-3) |
| Solve minimum/maximum problems (A-4) |
Solve problems involving combinations of tables using:
|
| Explain and illustrate the structure and the interrelationships of the sets of numbers within the real number system |
| Classify numbers as natural, whole, integer, rational, or irrational, and show that these number sets are nested within the real number system (B-1) |
| Use approximate representations of irrational numbers (B-2) |
| Develop and use mathematical strategies to solve problems in different situations. |
| Communicate a set of instructions to solve an arithmetic problem (B-3) |
| Perform arithmetic operations on irrational numbers using appropriate decimal approximations (B-4) |
| Use graphing technology for various applications (B-5) |
| Plot non-linear data using appropriate scales (B-6) |
| Use exact values, arithmetic operations, and algebraic operations on real numbers to solve problems. |
| Read, write, and apply mathematical and technical language (C-1) |
| Represent data, using linear function models. |
| Plot linear data, using appropriate scales (D-1) |
Determine the following characteristics of the graph
of a linear function, given its equation:
|
| Use direct variation and arithmetic sequences as applications of linear functions (D-3) |
| Demonstrate an understanding of scale factors, and their interrelationship with the dimensions of similar shapes and objects. |
| Determine the volume of rectangular solids as the product of the area of the base and height; follow this with the volume of any figure whose base is a polygon, circle, or other recognizable geometric shape (E-1) |
| Calculate the volume and surface area of a sphere using formulas that are provided (E-2) |
| Determine the relationships among linear scale factors, areas, surface areas, and volumes of similar figures and objects (E-3) |
| Interpret drawings and use the information to solve problems (E-4) |
| Examine the nature of relations with an emphasis on functions. |
| Represent data, using function models (F-1) |
Describe a function in terms of:
|
| Use function notation to evaluate and represent functions (F-3) |
| Use a graphing tool to draw the graph of a function or relation from its equation (F-4) |
| Determine the domain and range of a relation from its graph (F-5) |
| Solve coordinate geometry problems involving lines and line segments. |
| Solve problems involving distances between points in the coordinate plane (G-1) |
| Solve problems involving the midpoints of line segments (G-2) |
| Solve problems involving rise, run, and slope of line segments (G-3) |
Solve problems using slopes of:
|
| Use measuring devices to make estimates and to perform calculations in solving problems. |
| Select and apply appropriate instruments, units of measure (in both SI and imperial systems) and measurement strategies to find lengths, areas, and volumes (H-1) |
| Analyze the limitations of measuring instruments and measurement strategies, using the concepts of precision and accuracy (H-2) |
| Solve problems involving length, area, volume, time, mass, and rates derived from these (H-3) |
| Interpret Scale Drawings and use the information to solve problems (H-4) |
| Solve problems involving triangles, including those found in 3-D and 2-D applications. |
| Solve problems involving two right triangles, including angles of depression and elevation (I-1) |
| Extend the concepts of sine and cosine for angles 0° to 180° (I-2) |
| Apply the sine and cosine laws, excluding the ambiguous case, to solve problems (I-3) |
| Describe, implement, and analyze sampling procedures, and draw inferences from the data collected, using mathematical and technical language. |
| Choose, justify and apply sampling techniques that will result in an appropriate unbiased sample from a given population (J-1) |
| Draw and communicate inferences about the population from which a sample was taken (J-2) |
| Defend or oppose, as appropriate, generalizations made about populations based on data from samples (J-3) |
Determine the equation of the line of best fit, using:
|
| Use technological devices to determine the correlation coefficient r (J-5) |
| Interpret the correlation coefficient r and its limitations for varying problem situations, using relevant scatterplots (J-6) |
