# 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

## Week 17

## 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

## 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

## Week 35

- Quadrilateral Proofs
- Reflection in a Line
- Solving Functions Graphically
- Theoretical Probability
- Pythagorean Theorem Word Problems