Grade Eleven Math Curriculum
In what order should Grade Eleven students complete
math lessons? We decided to create our own Grade Eleven math curriculum.
Following the math worksheets and lessons in this order will make it easy
for parents, teachers, and most of all students.
The curriculum guide is broken into two topics per week. This is
a good pace for Grade Eight students during the school year. Over
the summer, you might want to do two weeks of work every week. Just
follow the weeks in order to follow the curriculum guide.
If your student is more advanced than the early weeks, fill free
to skip ahead. We would suggest that it is perfectly alright and even
advantageous to allow students to succeed early on. As it will help
them to build "math confidence".
Week 1
- Identify Similar Triangles With Proofs
- Reflection in a Line
- Graphically Represent the Inverse of a Function
- Graphing Functions
- Graphing Inequalities
Week 2
- Theoretical Probability
- Theoretical versus Empirical Probability
- Graphing Linear Inequalities
- Tree Diagrams
- Graphing Linear Systems
Week 3
- Graphing Systems of Inequalities
- Graphing Parabolas
- Graphs and Equations of Lines
- Graphs of Circles
- Graphs of Parabolas
Week 4
- Graphs of Linear Equations: Slope and Intercept
- Parallel and Perpendicular Lines
- Prisms, Pyramids, Cylinders, Cones, Spheres
- Single & Compound Events
- Single & Compound Events
Week 5
- Similar Figures- Finding Unknown Sides
- Transformations: Identifying Line Reflections
- Transformations: Identifying Translations
- Tree Diagrams Word-based
- Transformations: Rotation
Week 6
- Transformations: Working with Translations
- Area on a Coordinate Grid
- Areas of Polygons and Circles
- Volume Word Problems
- The Pythagorean Theorem
Week 7
- Pythagorean Theorem Word Problems
- Reflection in a Line
- Reflection in a Line
- Intuitive Work with Line Reflections
- Reflection in a Point
Week 8
- Reflection in a Point
- Rotational Symmetry
- Congruence of Triangles- Numerical Practice with Congruence
- Congruent Triangles
- Error in Measurement
Week 9
- Empirical Probability
- Mutually Exclusive & Independent Events, Complement
- Exterior Angles
- Mutually Exclusive Events
- Permutations: nPn & nPR
Week 10
- Geometric Constructions- Congruence
- Interior and Exterior Angles
- Line Symmetry
- Sample Spaces
- Sample Spaces Word-based
Week 11
- Midpoint of a Segment
- Conditional Probability
- Parallel and Perpendicular Lines
- Perimeter of Polygons & Circumference of Circles
- Point Symmetry
Week 12
- Quadrilaterals- The Quadrilateral Family (and Properties)
- Recognizing Congruent Triangles
- Similarity
- Sum of Interior Angles
- Translations
Week 13
- Polygons - Exterior Angles of Polygons
- Polygons - Each Interior Angle
- Locus at a Fixed Distance
- Locus At a Fixed Distance from a Point
- Locus Equidistant from Two Intersecting Lines
Week 14
- Equation of a Line
- Arcs in Circles
- Area of Polygons and Circles
- Areas and Coordinate Geometry
- Locus Equidistant from Two Parallel Lines
Week 15
- Locus Equidistant from Two Points
- Volume and Surface Area of Solids
- Numerical Practice with BIG Circles
- Circle Proofs
- Circles: Area of Sectors and Segments
Week 16
- Compound Locus
- Concurrence
- Dilations
- Direct Euclidean Proofs
- Indirect Euclidean Proofs
Week 17
- Using a Calculator (sin, cos, tan)
- Transformations- Dilation
- Angles
- Triangles
- Parallel Lines
Week 18
- Geometric Congruence
- Nature of Roots
- Recognizing Congruent Triangles
- Interior Angles of Polygons
- Sum Of Interior Angles Word Problems
Week 19
- Transformations- Line Symmetry
- Transformations- Point Symmetry
- Triangles In Problems
- Indirect Euclidean Proofs (Graphical)
- Empirical Probability
Week 20
- Mid-Segment of a Triangle
- Types of Angles
- Rotations
- Isosceles Theorem
- Polynomial Denominators
Week 21
- Pythagorean Theorem
- Logarithmic to Exponential Form
- Single Compound Events
- Proof Warm Ups
- Solve For The Unknown
Week 22
- Reflection in a Point
- Midpoint of a Line Segment
- Probability Problems AND/OR
- Rationalize Denominators
- Mutually Exclusive Events
Week 23
- Glide Reflections
- Intuitive Notion of Dilation
- Exterior Angles of Polygons
- Tangent of Points
- Area of Polygons and Circles
Week 24
- Inverse Functions- Calculator Practice
- Parts of a Parabola
- Areas and Coordinate Geometry
- Identifying Translations
- Literal Equations
Week 25
- Compound Locus
- Circle Proofs
- Central and Inscribed Angles in Circles
- Dilations and Similarity
- Distance Formula
Week 26
- Exponential to Logarithmic Form
- Parabola Standard Equations
- Classifying a Conic Section
- Complement of an Event
- Circle Equations
Week 27
- Concurrence
- Congruence of Triangles
- Congruent Triangle Proofs
- Parabola Equations
- Parabola- Equations & Graphs
Week 28
- Parabolas- Focus & Directrix
- Arcs in Circles
- Area of Sectors and Segments
- Chords and Circles
- Hyperbolas in Standard Form
Week 29
- Circle Equations and Graphs
- Circle Equations Based On Radius
- Chords, Secants, and Tangents in Circles
- Hyperbolas- Foci and Vertices
- The Quadrilateral Family
Week 30
- Probability: Independent Events
- Probability Problems Involving AND & OR
- Problems Involving AND & OR
- Graphing Linear Quadratic Systems
- Parabolas- Graphs & Equations
Week 31
- Quartiles & Percentiles
- Tangent of x
- Coordinate Geometry Proofs
- Proofs in Coordinates
- Tangents And Circles
Week 32
- Angles Circles- Chords
- Angles Outside the Circle
- Angles with Parallel Lines
- Combinations: nCn & nCr
- Complement of an Event
Week 33
- Counting Principle
- Counting Principle (Difficult)
- Algebraic Representations
- Analyzing in Three Dimensions
- Angle Word Problems
Week 34
- Proportion in a Right Triangles
- Translations & Vectors
- Sine of x
- Triangle Proofs
- Cosine of Points
Week 35
- Quadrilateral Proofs
- Reflection in a Line
- Solving Functions Graphically
- Theoretical Probability
- Pythagorean Theorem Word Problems
Week 36
- Triangle Inequality Theorm
- Value of a Log
- Triangle Inequalities
- Proofs With Congruent Triangles
- Write Parabola Equations