British Columbia- Mathematics: Applications of Mathematics: Grade 10

British Columbia Learning Outcomes    Adopted: 2006

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B: Students use algebraic and graphical models to generalize patterns, make predictions, and solve problems.

B.2: represent linear data using linear function models, including

B.2.1: ordered pairs

Linear Functions
 Points, Lines, and Equations
 Slope-Intercept Form of a Line

B.2.2: word descriptions

Linear Functions
 Slope-Intercept Form of a Line

B.2.3: graphs

Compound Interest
 Exponential Functions
 Linear Functions
 Slope-Intercept Form of a Line

B.2.4: equations

Compound Interest
 Linear Functions
 Slope-Intercept Form of a Line

B.2.5: table of values

Compound Interest
 Points, Lines, and Equations
 Slope-Intercept Form of a Line

B.4: determine the following characteristics of the graph of a linear function, given its equation or graph:

B.4.1: x- and y-intercepts

Absolute Value with Linear Functions
 Cat and Mouse (Modeling with Linear Systems) - Metric
 Exponential Functions
 Graphs of Polynomial Functions
 Linear Functions
 Slope-Intercept Form of a Line

B.4.2: slope

Absolute Value with Linear Functions
 Cat and Mouse (Modeling with Linear Systems) - Metric
 Slope-Intercept Form of a Line

B.4.3: domain

Exponential Functions

B.4.4: range

Exponential Functions

B.6: solve problems involving partial variation and arithmetic sequences as applications of linear functions

Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Direct and Inverse Variation

C: Students describe and compare everyday phenomena, using either direct or indirect measurement, describe the characteristics of 3-D objects and 2-D shapes, and analyse the relationships among them.

C.1: solve problems involving two right triangles using trigonometry and the Pythagorean Theorem

Cosine Function
 Sine Function
 Sine, Cosine, and Tangent Ratios
 Tangent Function

C.2: extend the concepts of sine and cosine for angles through to 180°

Sine, Cosine, and Tangent Ratios

C.6: determine the relationships among linear scale factors, areas, the surface areas, and the volumes of similar figures and objects

Dilations
 Similar Figures

C.7: solve problems involving length, area, volume, time, mass, and rates derived from these

Area of Parallelograms
 Area of Triangles
 Beam to Moon (Ratios and Proportions) - Metric
 Perimeter and Area of Rectangles
 Prisms and Cylinders
 Similar Figures

C.9: solve problems involving distances between points in the coordinate plane

Points in the Coordinate Plane

C.12: determine the equation of a line, given information that uniquely determines the line

Points, Lines, and Equations
 Slope
 Slope-Intercept Form of a Line

D: Students collect, display, and analyse data to make predictions about a population.

D.1: determine the equation of a line of best fit, using

D.1.1: estimate of slope and one point

Correlation
 Solving Using Trend Lines

D.1.2: least squares method with technology

Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines

D.3: interpret the correlation coefficient (r) and its limitations for varying problem situations, using relevant scatter plots

Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines

D.4: apply line-fitting and correlation techniques to analyse experimental results

Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

Correlation last revised: 9/16/2020

This correlation lists the recommended Gizmos for this province's curriculum standards. Click any Gizmo title below for more information.