CANADA MATH G11 – EDmama Canada

A. Measurement

A.01. Calculate unit rates and solve related word problems.
A.02. Create and interpret scale drawings, solving related word problems.
A.03. Apply unit conversion techniques in various contexts.
A.04. Analyze the relationship between scale and actual measurements.
A.05. Solve real-world problems involving proportional reasoning and scale.

B. Equations

C. Inequalities

C.01. Graph linear inequalities in one variable on a number line.
C.02. Graph linear inequalities in two variables on the coordinate plane.
C.03. Write linear inequalities from given graphs.
C.04. Translate word problems into linear inequalities and solve them.
C.05. Solve linear inequalities involving multiple steps.
C.06. Graph solutions to linear inequalities on a number line and coordinate plane.
C.07. Solve and graph absolute value inequalities.
C.08. Solve and graph quadratic inequalities.
C.09. Apply inequalities to solve real-world problems.
C.10. Understand and interpret compound inequalities.

D. Functions

D.01. Identify the domain and range of a function.
D.02. Determine if a relation is a function using various representations.
D.03. Evaluate functions given specific inputs.
D.04. Find function values using graphs.
D.05. Complete function tables from given graphs.
D.06. Calculate the slope of linear functions.
D.07. Graph linear functions using various methods.
D.08. Write the equation of a linear function from given information.
D.09. Analyze the behavior of linear functions over unit intervals.
D.10. Complete function tables for absolute value functions.
D.11. Graph absolute value functions.
D.12. Analyze the transformations of linear and absolute value functions.

E. Systems of Equations

E.01. Determine if an ordered pair is a solution to a system of equations.
E.02. Solve systems of equations graphically.
E.03. Solve word problems using graphical methods for systems of equations.
E.04. Determine the number of solutions in a system of equations.
E.05. Classify systems of equations (consistent/inconsistent, dependent/independent).
E.06. Solve systems of equations using substitution.
E.07. Solve word problems using substitution to solve systems of equations.
E.08. Solve systems of equations using elimination.
E.09. Solve word problems using elimination to solve systems of equations.
E.10. Solve systems of equations using any appropriate method.
E.11. Solve word problems using any appropriate method to solve systems of equations.
E.12. Solve nonlinear systems of equations.
E.13. Apply systems of equations to real-world modeling scenarios.

F. Systems of Inequalities

G. Factoring

H. Quadratic Relations

H.01. Identify key characteristics of quadratic functions (vertex, intercepts, axis of symmetry).
H.02. Complete function tables for quadratic functions.
H.03. Find the quadratic function given key features (vertex, points).
H.04. Graph quadratic functions in vertex form.
H.05. Match quadratic functions with their graphs.
H.06. Solve quadratic equations using square roots.
H.07. Solve quadratic equations using the zero product property.
H.08. Solve quadratic equations by factoring.
H.09. Complete the square to solve quadratic equations.
H.10. Graph quadratic functions in standard form.
H.11. Solve quadratic equations using the quadratic formula.
H.12. Use the discriminant to determine the nature of quadratic equation roots.
H.13. Apply quadratic functions to model real-world scenarios.

I. Parabolas

J. Polynomials

K. Radical Functions and Expressions

K.01. Find roots of integers.
K.02. Find roots of rational numbers.
K.03. Use a calculator to find roots (including nth roots).
K.04. Simplify radical expressions with variables (basic).
K.05. Simplify radical expressions with variables (advanced).
K.06. Multiply radical expressions.
K.07. Divide radical expressions.
K.08. Add and subtract radical expressions.
K.09. Simplify radical expressions using the distributive property.
K.10. Simplify radical expressions using conjugates.
K.11. Determine the domain and range of radical functions.
K.12. Solve radical equations.
K.13. Apply radical expressions and functions to geometry problems.

L. Rational Exponents

M. Rational Functions and Expressions

N. Exponential Functions

N.01. Evaluate exponential functions for given inputs.
N.02. Match exponential functions to their graphs (basic).
N.03. Match exponential functions to their graphs (advanced).
N.04. Solve exponential equations by rewriting the base.
N.05. Identify linear and exponential functions from tables and graphs.
N.06. Analyze exponential functions over unit intervals.
N.07. Describe linear and exponential growth and decay.
N.08. Solve exponential growth and decay word problems.
N.09. Solve compound interest word problems.
N.10. Solve continuously compounded interest word problems.
N.11. Understand the applications of exponential functions in various fields.

O. Angle Measures

P. Right Triangles

Q. Trigonometry

Q.01. Define and calculate trigonometric ratios (sin, cos, tan).
Q.02. Define and calculate trigonometric ratios (csc, sec, cot).
Q.03. Understand trigonometric ratios in similar right triangles.
Q.04. Find trigonometric ratios using the unit circle.
Q.05. Calculate sin, cos, and tan of special angles.
Q.06. Calculate csc, sec, and cot of special angles.
Q.07. Use a calculator to find trigonometric functions.
Q.08. Understand and apply the inverse trigonometric functions (arcsin, arccos, arctan).
Q.09. Understand and apply inverse trigonometric functions (arccsc, arcsec, arccot).
Q.10. Solve trigonometric equations (basic).
Q.11. Solve trigonometric equations (advanced).
Q.12. Use trigonometric ratios to find side lengths in right triangles.
Q.13. Use trigonometric ratios to find angle measures in right triangles.
Q.14. Solve right triangles.
Q.15. Apply the Law of Sines.
Q.16. Apply the Law of Cosines.
Q.17. Solve triangles (using Law of Sines and Law of Cosines).
Q.18. Calculate the area of a triangle using the sine formula.
Q.19. Calculate the area of a triangle using the Law of Sines.

R. Two-Dimensional Figures

R.01. Understand polygon vocabulary.
R.02. Calculate interior angles of polygons.
R.03. Calculate perimeter of polygons.
R.04. Calculate area of triangles and quadrilaterals.
R.05. Calculate area and perimeter in the coordinate plane (basic).
R.06. Calculate area and perimeter in the coordinate plane (advanced).
R.07. Calculate area and circumference of circles.
R.08. Calculate area of compound figures.
R.09. Calculate area between two shapes.
R.10. Understand and apply concepts of area and perimeter in similar figures.
R.11. Classify quadrilaterals based on their properties.
R.12. Understand and apply properties of parallelograms.

S. Three-Dimensional Figures

S.01. Understand three-dimensional figure vocabulary.
S.02. Identify parts of three-dimensional figures (faces, edges, vertices).
S.03. Create and interpret nets and drawings of three-dimensional figures.
S.04. Understand the concepts of surface area and volume.
S.05. Calculate surface area of prisms and cylinders.
S.06. Calculate surface area of pyramids and cones.
S.07. Calculate volume of prisms and cylinders.
S.08. Calculate volume of pyramids and cones.
S.09. Calculate surface area and volume of spheres.
S.10. Understand and apply concepts of similar solids.
S.11. Calculate surface area and volume of similar solids.
S.12. Review surface area and volume calculations.
S.13. Identify cross-sections of three-dimensional figures.
S.14. Understand solids of revolution.

T. Congruent Figures

T.01. Understand congruence statements and corresponding parts.
T.02. Solve problems involving corresponding parts of congruent figures.
T.03. Identify congruent figures using properties and postulates.
T.04. Write proofs involving angle relationships.
T.05. Write proofs involving parallel lines (basic).
T.06. Write proofs involving parallel lines (advanced).
T.07. Apply SSS and SAS Theorems to prove triangle congruence.
T.08. Apply ASA and AAS Theorems to prove triangle congruence.
T.09. Apply various congruence postulates and theorems.
T.10. Apply SSS Theorem in the coordinate plane.
T.11. Understand congruency in isosceles and equilateral triangles.
T.12. Apply the Hypotenuse-Leg Theorem.
T.13. Write proofs involving triangles (basic).
T.14. Write proofs involving triangles (advanced).

U. Triangles

U.01. Classify triangles based on their sides and angles.
U.02. Apply the Triangle Angle-Sum Theorem.
U.03. Understand and apply properties of midsegments of triangles.
U.04. Understand and apply properties of triangles and bisectors.
U.05. Identify medians, altitudes, angle bisectors, and perpendicular bisectors.
U.06. Understand angle-side relationships in triangles.
U.07. Apply the Triangle Inequality Theorem.
U.08. Apply triangle properties to solve problems.

V. Similarity

V.01. Identify similar figures.
V.02. Understand and apply ratios in similar figures.
V.03. Write similarity statements.
V.04. Determine side lengths and angle measures in similar figures.
V.05. Apply similar triangles to solve indirect measurement problems.
V.06. Calculate perimeters of similar figures.
V.07. Apply similarity rules for triangles.
V.08. Relate similar triangles to similarity transformations.
V.09. Understand similarity of circles.
V.10. Apply the Triangle Proportionality Theorem.
V.11. Calculate areas of similar figures.
V.12. Solve real-world problems using similar figures.

W. Logic

X. Sequences and Series

X.01. Classify formulas and sequences (arithmetic, geometric, recursive).
X.02. Find terms of an arithmetic sequence.
X.03. Find terms of a geometric sequence.
X.04. Find terms of a recursive sequence.
X.05. Evaluate formulas for sequences.
X.06. Write a formula for an arithmetic sequence.
X.07. Write a formula for a geometric sequence.
X.08. Write a formula for a recursive sequence.
X.09. Solve mixed review problems involving sequences.
X.10. Understand and use sigma notation.
X.11. Identify arithmetic and geometric series.
X.12. Find the sum of a finite arithmetic or geometric series.
X.13. Understand partial sums.
X.14. Find partial sums of arithmetic series.
X.15. Find partial sums of geometric series.
X.16. Solve mixed review problems involving partial sums.
X.17. Identify convergent and divergent geometric series.
X.18. Find the value of an infinite geometric series.
X.19. Write a repeating decimal as a fraction using geometric series.

Y. Probability

Y.01. Understand basic probability concepts.
Y.02. Calculate probabilities of events.
Y.03. Understand and apply permutations.
Y.04. Apply the counting principle.
Y.05. Understand and apply permutation and combination notation.
Y.06. Find probabilities using permutations and combinations.
Y.07. Find probabilities using two-way frequency tables.
Y.08. Identify independent events.
Y.09. Calculate probabilities of independent and dependent events.
Y.10. Find conditional probabilities.
Y.11. Understand the relationship between independence and conditional probability.
Y.12. Find conditional probabilities using two-way frequency tables.
Y.13. Apply the addition rule to find probabilities.
Y.14. Apply the normal distribution to find probabilities.
Y.15. Solve real-world problems involving probability.

Course Content

A. Measurement

A.01. Calculate unit rates and solve related word problems.

A.02. Create and interpret scale drawings, solving related word problems.

A.03. Apply unit conversion techniques in various contexts.

A.04. Analyze the relationship between scale and actual measurements.

A.05. Solve real-world problems involving proportional reasoning and scale.

B. Equations

B.01. Solve basic linear equations.

B.02. Solve linear equations involving multiple steps.

B.03. Translate word problems into linear equations and solve them.

B.04. Understand and apply the concept of absolute value.

B.05. Solve absolute value equations.

B.06. Graph solutions to absolute value equations on a number line.

B.07. Interpret the graphical representation of absolute value equations.

C. Inequalities

C.01. Graph linear inequalities in one variable on a number line.

C.02. Graph linear inequalities in two variables on the coordinate plane.

C.03. Write linear inequalities from given graphs.

C.04. Translate word problems into linear inequalities and solve them.

C.05. Solve linear inequalities involving multiple steps.

C.06. Graph solutions to linear inequalities on a number line and coordinate plane.

C.07. Solve and graph absolute value inequalities.

C.08. Solve and graph quadratic inequalities.

C.09. Apply inequalities to solve real-world problems.

C.10. Understand and interpret compound inequalities.

D. Functions

D.01. Identify the domain and range of a function.

D.02. Determine if a relation is a function using various representations.

D.03. Evaluate functions given specific inputs.

D.04. Find function values using graphs.

D.05. Complete function tables from given graphs.

D.06. Calculate the slope of linear functions.

D.07. Graph linear functions using various methods.

D.08. Write the equation of a linear function from given information.

D.09. Analyze the behavior of linear functions over unit intervals.

D.10. Complete function tables for absolute value functions.

D.11. Graph absolute value functions.

D.12. Analyze the transformations of linear and absolute value functions.

E. Systems of Equations

E.01. Determine if an ordered pair is a solution to a system of equations.

E.02. Solve systems of equations graphically.

E.03. Solve word problems using graphical methods for systems of equations.

E.04. Determine the number of solutions in a system of equations.

E.05. Classify systems of equations (consistent/inconsistent, dependent/independent).

E.06. Solve systems of equations using substitution.

E.07. Solve word problems using substitution to solve systems of equations.

E.08. Solve systems of equations using elimination.

E.09. Solve word problems using elimination to solve systems of equations.

E.10. Solve systems of equations using any appropriate method.

E.11. Solve word problems using any appropriate method to solve systems of equations.

E.12. Solve nonlinear systems of equations.

E.13. Apply systems of equations to real-world modeling scenarios.

F. Systems of Inequalities

F.01. Determine if an ordered pair is a solution to a system of inequalities.

F.02. Solve systems of linear inequalities by graphing.

F.03. Find the vertices of a solution set for a system of inequalities.

F.04. Apply linear programming techniques to solve optimization problems.

F.05. Interpret the feasible region of a system of inequalities.

G. Factoring

G.01. Factor monomials.

G.02. Factor simple quadratic expressions.

G.03. Factor quadratic expressions using algebra tiles.

G.04. Factor quadratic expressions using patterns.

G.05. Factor polynomials by grouping.

G.06. Factor sums and differences of cubes.

G.07. Factor complex polynomials using a variety of techniques.

G.08. Apply factoring to solve quadratic equations.

H. Quadratic Relations

H.01. Identify key characteristics of quadratic functions (vertex, intercepts, axis of symmetry).

H.02. Complete function tables for quadratic functions.

H.03. Find the quadratic function given key features (vertex, points).

H.04. Graph quadratic functions in vertex form.

H.05. Match quadratic functions with their graphs.

H.06. Solve quadratic equations using square roots.

H.07. Solve quadratic equations using the zero product property.

H.08. Solve quadratic equations by factoring.

H.09. Complete the square to solve quadratic equations.

H.10. Graph quadratic functions in standard form.

H.11. Solve quadratic equations using the quadratic formula.