Mathematics Foundations 10: Constructing Mathematics, Book 1
Data Management
Networks and Matrices (Optional)
A2
B5
C3
C4
C9
C10
C15
C17
C32
D1
D7
F1
F2
F3
F3
F4
F5
F6
F15
analyse graphs or charts of situations to identify specific
information
gather data, plot the data using appropriate scales, and
demonstrate an understanding of independent and
dependent variables, and domain and range
create and analyse scatter plots using appropriate
technology
construct and analyse graphs and tables relating two
variables
describe real-world relationships depicted by graphs,
tables of values, and written descriptions
develop and apply strategies for solving problems
solve problems using graphing technology
determine if a graph is linear by plotting points in a
given situation
determine and apply formulas for perimeter, area,
surface area, and volume (optional)
determine the accuracy and precision of a measurement
(optional)
design and conduct experiments using statistical
methods and scientific inquiry
demonstrate an understanding of concerns and issues
that pertain to the collection of data
construct various displays of data
calculate various statistics using appropriate technology,
analyse and interpret displays, and describe
the relationships
calculate various statistics using appropriate technology,
analyse and interpret displays, and describe the
relationships
analyse statistical summaries, draw conclusions, and
communicate results about distributions of data
solve problems by modeling real-world phenomena
approximate a line of best fit from a scatter plot
B6
C7
C17
C37
E6
develop, analyse and apply procedures for matrix
multiplication (optional)
solve network problems using matrices (optional)
model real-world situations with networks and matrices
(optional)
solve problems using graphing technology
represent network problems using matrices, and vice
versa (optional)
represent network problems as digraphs (optional)
C14
C15
C16
C18
C25
C26
C31
C33
Patterns, Relations, Equations, and Predictions`
A2
A6
B1
B3
C1
C2
C3
C5
C8
C9
C10
C13
analyse graphs or charts of situations to identify specific
information
apply properties of numbers when operating upon
expressions and equations
model (with concrete materials and pictorial
representations) and express the relationships between
arithmetic operations and operations on algebraic
expressions and equations
use concrete materials, pictorial representations, and
symbolism to perform operations on
polynomials
express problems in terms of equations and vice versa
model real-world phenomena with linear and quadratic
equations
gather data, plot the data using appropriate scales, and
demonstrate an understanding of independent
and dependent variables, and domain and range
sketch graphs from words, tables, and collected data
identify, generalize and apply patterns
construct and analyse graphs and tables relating two
variables
describe real-world relationships depicted by graphs,
tables of values, and written descriptions
determine and interpret the slope and y-intercept of a
line from a table of values or a graph
C32
C33
C35
C38
C39
C40
F8
F10
F15
determine the equation of a line using the slope and yintercept
develop and apply strategies for solving problems
interpret solutions to equations based on context
investigate and find the solution to a problem by
graphing two linear equations with and without
technology
solve equations using graphs
solve quadratic equations by factoring
graph equations and analyse graphs both with and
without graphing technology
graph by constructing a table of values, by using
graphing technology, and when appropriate by the
y-intercept-slope method
determine if a graph is linear by plotting points in a
given situation
graph by constructing a table of values, by using
graphing technology, and when appropriate by the
y-intercept-slope method
expand and factor polynomial expressions using
perimeter and area models
transform linear equations including slope-y intercept
slope method
make and test conjectures about how linear and
quadratic graphs change as particular values in the
equations change
solve linear equations algebraically
determine and apply a line of best fit using linear
regression with technology
use interpolation, extrapolation, and equations to predict
and solve problems
approximate a line of best fit from a scatter plot
Modeling Functional Relationships
How Far? How Tall? How Steep?
The Geometry of Packaging
A2
A4
A9
C21
D1
A3
A8
C2
C4
C8
C21
C32
F6
F7
F8
F9
F10
analyse graphs or charts of situations to identify specific
information
demonstrate an understanding of and apply the proper
use of discrete and continuous number systems
model real-world phenomena with linear and quadratic
equations
create and analyse scatter plots using appropriate
technology
identify, generalize, and apply patterns
explore and apply functional relationships informally
determine if a graph is linear by plotting points in a
given situation
solve problems by modeling real-world phenomena
explore non-linear data using power and exponential
regression to find a curve of best fit
determine and apply a line of best fit using linear
regression with technology
demonstrate an intuitive understanding of correlation
use interpolation, extrapolation, and equations to predict
and solve problems
D3
D4
D6
D8
D12
D14
E7
E8
approximate square roots
explore properties of square roots in applications
explore and apply functional relationships informally
determine and apply formulas for perimeter, area,
surface area, and volume
relate the trigonometric functions to the ratios in similar
right triangles
use calculators to find trigonometric values of angles
and angles when trigonometric values are known
solve problems involving measurement using bearings
and vectors
solve problems involving similar triangles and right
triangles
solve problems using the trigonometric ratios
apply the Pythagorean theorem
demonstrate an understanding of a proof for the
Pythagorean theorem
use inductive reasoning when observing patterns,
developing properties, and making conjectures
C36
C36
D1
D7
D10
D11
D13
E1
E2
E8
E10
E11
demonstrate an understanding of the role of irrational
numbers in applications
explore, determine, and apply relationships between
perimeter and area and between area and volume
explore, determine, and apply formulas for perimeter,
area, surface area, and volume
determine and apply formulas for perimeter, area and
volume
determine the accuracy and precision of a measurement
determine and apply relationships between the
perimeters and areas of similar figures and volumes of
similar solids
explore, discover, and apply properties of maximum
area and volume
demonstrate an understanding of the concepts of surface
area and volume
explore properties, and make conjectures about 2-D and
3-D figures
solve problems involving polygons and polyhedra
use inductive reasoning when observing patterns,
developing properties, and making conjectures
investigate line and rotational symmetry
draw nets of various polyhedra