GRADE 1
Our balanced approach integrates the four elements of our program: Drills, Problem Solving, the Core Curriculum and Cooperative
Group work.
But the Spirit of Math program is much more than just math. We are using mathematics as a way to teach students how to learn, how to face challenges and how to work with others.
Here’s what we cover in Grade One:
DRILLS
 Regrouping: Making Tens (pairs of onedigit numbers)
 Addition (1×1 and 2×1)
 Super Speed Addition (1×1)
 Integer Addition (1×1)
 Multiplication (1×1)
 Division (1×1)
PROBLEM SOLVING
 Tangrams (geometric puzzles)
 Counting Shapes (e.g. How many triangles of all sizes are in this diagram?)
 Cuts and Pieces (finding the number of pieces based on parallel cuts of an object, and vice versa)
 “All but” problems (e.g. If there are 5 cats and all but 3 fell asleep, how many are asleep?)
 Date problems (e.g. What is today if 3 days after yesterday was Tuesday?)
 Venn Diagrams (introduction to sets)
 Alphametrics (introductory codebreaking)
 Pathways (finding the number of “paths” on a grid)
 Magic Squares (solving arrays of numbers where each row and column sum to the same number)
 Spirit of Math Contest (annual nationwide contest)
CORE CURRICULUM: Number Theory
 Regrouping: Making groups of ten (adding 4 to 8 one and twodigit numbers)
 Integers (adding positives and negatives)
 Onedigit multiplication
 Fractions (labelling, adding/subtracting with like denominators)
COOPERATIVE GROUP WORK
 Working in groups of 3 to 4 students to solve the POW (Problem of the Week)
 Comparing and discussing homework solutions
 Strengthening communication and social skills
 Learning how to share ideas on how to collaboratively solve problems
 Developing critical thinking and decisionmaking skills
ASSESSMENT
Grades are available online and parents receive three report cards each year. Our students will demonstrate their understanding through:
 Three Unit Tests (at Lessons 9, 13 and 33)
 Final Comprehensive Exam
 Independent Assignments
 Assignment of the Year (25 equations)
 Wee Wizards problem set
 Problem Poster Project
 Mighty Mathematicians research project
GRADE 2
DRILLS
 Addition (2×1 and 2×2)
 Super Speed Addition (1×1)
 Integer Addition (1×1 and 2×1)
 Multiplication (1×1 and 2×1)
 Long Multiplication (2×2)
 Division (1×1 and 2×1)
PROBLEM SOLVING
 Consecutive number problems (e.g. finding the number of pages read in a book given the first and last pages read)
 Heads & Legs (e.g. given the number of heads and legs counted, how many of a particular twolegged or fourlegged animal are there?)
 Venn Diagrams (extension from grade 1, including the “neither” category)
 Before & After/Date Problems (e.g. what is 3 days before 2 days after Sunday?)
 “Handshakes” problems (e.g. If 15 people all shook hands with each other, how many handshakes is that?)
 Alphamath (introductory codebreaking)
 Sum of a Series (e.g. find the sum of all positive integers from 1 to 20)
 Chords/Lines and Regions (dividing up a circle using straight lines (chords) to yield a maximum number of regions and extracting pattern based on the number of chords used)
 Rate Problems (e.g. If I can eat 3 apples in 15 minutes and you can eat 6 apples in 15 minutes, how many apples can we eat together in 10 minutes?)
 Spirit of Math Contest (annual nationwide contest)
CORE CURRICULUM: Number Theory
 Regrouping: Making groups of ten (adding 4 to 8 one and twodigit positive and negative numbers)
 Integers (adding positives and negatives)
 Primes, composites, factors, and perfect squares
 Rationals (fractional distances on a number line)
COOPERATIVE GROUP WORK
 Working in groups of 3 to 4 students to solve the POW (Problem of the Week)
 Comparing and discussing homework solutions
 Strengthening communication and social skills
 Learning how to share ideas on how to collaboratively solve problems
 Developing critical thinking and decisionmaking skills
ASSESSMENT
Grades are available online and parents receive three report cards each year. Our students will demonstrate their understanding through:
 Three Unit Tests (at Lessons 5, 13, 23 and 33)
 Final Comprehensive Exam
 Independent Assignments (Black & Orange Gumdrops, January Thaw)
 Assignment of the Year (creating 50 different equations equaling any number from 1100 using only 4 digits)
 Wise Wizards problem set
 Problem Poster Project
 Mighty Mathematicians research project
GRADE 3
Our balanced approach integrates the four elements of our program: Drills, Problem Solving, the Core Curriculum and Cooperative Group Work.
But the Spirit of Math program is much more than just math. We are using mathematics as a way to teach students how to learn, how to face challenges and how to work with others.
Here’s what we cover in Grade Three:
DRILLS
 Addition (2×2 and 3×2)
 Integer Addition (2×1 and 2×2)
 Multiplication (2×1 and 3×1)
 Division (2×1 and 3×1)
 Long Multiplication (3×2 with decimals)
 Long Division (2×1 and 3×2)
 Perfect Squares to 25^{2}
 FractionDecimal Equivalents (half, thirds, fourths, fifths, ninths, and tenths)
PROBLEM SOLVING
 Date problems (extending from grades 1 and 2, solving using equations instead of number lines)
 “All but” problems (e.g. If there are 5 cats and all but 3 fell asleep, how many are asleep?)
 Interval problems (extending from Cuts & Pieces problems – e.g. Eight flowers are each planted in a row 40 centimetres apart. How far apart is the first flower and the last flower?)
 Venn Diagrams (with 3 circles)
 Averages (calculating average based on a data set, calculating an increase in average, comparing averages)
 Pathways with 2 grids
 Spirit of Math Contest (annual nationwide contest)
 CNML Contest (Canadian National Mathematics League)
CORE CURRICULUM: Number Theory
 Regrouping: Making groups of ten (adding 8 to 10 twodigit positive and negative numbers)
 Relocation with multiplication and division
 Primes, composites, and factors
 Fractions (mixed and improper fractions, reducing by prime factoring, comparing and ordering fractions with different numerators and denominators, fractions with zero, i.e. undefined and indeterminate)
COOPERATIVE GROUP WORK
 Working in groups of 3 to 4 students to solve the POW (Problem of the Week)
 Comparing and discussing homework solutions
 Strengthening communication and social skills
 Learning how to share ideas on how to collaboratively solve problems
 Developing critical thinking and decisionmaking skills
ASSESSMENT
Grades are available online and parents receive three report cards each year. Our students will demonstrate their understanding through:
 Five Unit Tests (at Lessons 5, 11, 20, 25 and 33)
 Final Comprehensive Exam
 Independent Assignments (Tricks or Treats, Jettsie & Joanie, Little Spirit)
 Assignment of the Year (creating 75 different equations equaling any number from 1100 using only 4 digits)
 Wise Wizards 2 problem set
 Problem Poster Project
 Famous Mathematicians research project
GRADE 4
Our balanced approach integrates the four elements of our program: Drills, Problem Solving, the Core Curriculum and Cooperative Group work.
But the Spirit of Math program is much more than just math. We are using mathematics as a way to teach students how to learn, how to face challenges and how to work with others.
Here’s what we cover in Grade Four:
DRILLS
 Integer Addition (2×2)
 Multiplication (3×1)
 Division (2×1 and 3×1)
 Long Multiplication (3×2 with decimals)
 Long Division (4×2 with decimals)
 Perfect Squares to 25^{2}
PROBLEM SOLVING
 Consecutive number problems (extending from grade 2, incorporating consecutive odd/even numbers)
 “Handshakes” problems (e.g. If 15 people all shook hands with each other, how many handshakes is that?)
 Probability (calculating mathematical probability)
 Heads & legs (e.g. given the number of heads and legs counted, how many of a particular twolegged or fourlegged animal are there?)
 Arrangements of Letters in a Word (finding the number of different ways the letters in a given word can be arranged; introduction to combinatorics)
 Counting pathways using factorials
 Rate Problems (extending from grade 2)
 Least Common Multiple (e.g. Mrs. Cherry bakes a pie every 42 minutes, and Mr. Pickle makes a sandwich every 28 minutes. If they both serve their first dish at 9 a.m., when will they next serve a dish at the same time?
 Spirit of Math Contest (annual nationwide contest)
 CNML Contest (Canadian National Mathematics League)
CORE CURRICULUM: Number Theory
 Regrouping: Making groups of ten (adding various two and threedigit positive and negative numbers)
 Positive and negative integers (integral distance)
 Relocation with multiplication and division
 Prime numbers and prime factoring
 Tests of Divisibility
 Geometry (points, lines, angles, and polygons)
COOPERATIVE GROUP WORK
 Working in groups of 3 to 4 students to solve the POW (Problem of the Week)
 Comparing and discussing homework solutions
 Strengthening communication and social skills
 Learning how to share ideas on how to collaboratively solve problems
 Developing critical thinking and decisionmaking skills
 Group research and presentation
ASSESSMENT
Grades are available online and parents receive three report cards each year. Our students will demonstrate their understanding through:
 Five Unit Tests (at Lessons 5, 12, 18, 25 and 37)
 Final Comprehensive Exam
 Independent Assignments (Grade Four Problem Sets, These Will Haunt You)
 Assignment of the Year (creating 100 different equations equaling all numbers from 1100 using only 4 digits)
 Wise Wizards 3 problem set
 Problem Poster Project
 Famous Mathematicians research project
GRADE 5
Our balanced approach integrates the four elements of our program: Drills, Problem Solving, the Core Curriculum and Cooperative Group Work.
But the Spirit of Math program is much more than just math. We are using mathematics as a way to teach students how to learn, how to face challenges and how to work with others.
Here’s what we cover in Grade Five:
DRILLS
 Multiplication (3×1 – 80 questions)
 Division (3×1 – 80 questions)
 Integer Addition (3×3 – 80 questions)
PROBLEM SOLVING
 Weekly PODs (Problem of the Day) – group problemsolving in a variety of topics
 Independent problem set assignments
CORE CURRICULUM: Number Theory
 Grade 5 is the foundational year where students learn a variety of core topics in great depth. The grades 14 curriculum build up to the grade 5 year, and grades 6 onward build upon the grade 5 year
 Relocation Property
 Signed Numbers
 Order of Operations
 Factors, Multiples, and Primes
 Number Sets
COOPERATIVE GROUP WORK
 Working in groups of 3 to 4 students to solve the POD (Problem of the Day)
 Comparing and discussing homework solutions to independent assignments and core work
 Strengthening communication and social skills
 Learning how to share ideas on how to collaboratively solve problems
 Developing critical thinking and decisionmaking skills
ASSESSMENT
Grades are available online and parents receive three report cards each year. Our students will demonstrate their understanding through:
 Four Unit Tests (at Lessons 6, 12, 21, and 35)
 Final Comprehensive Exam
 Independent Assignments (Mastermind, Fifty Mix) with corresponding tests
 Assignment of the Year (creating 100 different equations equaling all numbers from 1100 using only 4 digits and keeping digits in order)
GRADE 6
But the Spirit of Math program is much more than just math. We are using mathematics as a way to teach students how to learn, how to face challenges and how to work with others.
Here’s what we cover in Grade Six:
DRILLS
 Long Multiplication (up to 5 digits, with decimals
 Perfect Squares (up to 60^{2})
 FractionDecimal Expansions (half to twelfths)
 Oral Percent Drills
PROBLEM SOLVING
 Major independent problem set assignments
CORE CURRICULUM: Number Theory

Rationals (adding and subtracting using LCMs, multiplying and dividing using prime factoring, distances on a number line, ordering rationals)

Ratio, Rate, Percent, and Proportion (solving and simplifying ratios, rate proportion and percent problem solving, percentdecimalfraction conversions)

Geometry (points, lines, angles, angle theorems, classification of triangles, Pythagorean theorem, similar and congruenttriangles, polygons, circle geometry)
COOPERATIVE GROUP WORK
 Comparing and discussing homework solutions to independent assignments and core work
 Strengthening communication and social skills
 Learning how to share ideas on how to collaboratively problem solve
 Developing critical thinking and decisionmaking skills
ASSESSMENT
Grades are available online and parents receive three report cards
Our students will demonstrate their understanding through:
 Six Unit Tests (at Lessons 17, 23, 25, 30, 35, and 36)
 Final Comprehensive Exam
 Independent Assignments (Brain Bogglers I & II, Mind Benders) with corresponding tests
GRADE 7
Our balanced approach integrates the four elements of our program: Drills, Problem Solving, the Core Curriculum and Cooperative Group Work.
But the Spirit of Math program is much more than just math. We are using mathematics as a way to teach students how to learn, how to face challenges and how to work with others.
Here’s what we cover in Grade Seven:
DRILLS
 Rational Addition: practice adding rationals of different numerators and denominators
PROBLEM SOLVING
 Math Challenge Assignments: seven different problem sets assigned throughout the year covering a variety of challenging types of problems
CORE CURRICULUM:Indepth focus on problem solving
 Counting Shapes (e.g. How many rectangles of all sizes are in a given diagram?)
 Arrangements of Letters in a Word (calculating combinations with factorials)
 Pathways (grids, nongrids, and word formations)
 Pascal’s Triangle (patterns and combinatorics)
 Patterns (sequences and series)
 Patterns involving Prime Factoring
 Measurement (triangle geometry, Heron’s Formula, Pick’s Rule, area and perimeter of polygons, metric conversions)
 Venn Diagrams (introducing set notation)
 Number Bases (including performing operations in different number bases)
 Angles on a Clock (finding the angle between the minute hand and the hour hand based on different times, and vice versa)
COOPERATIVE GROUP WORK
 Comparing and discussing homework solutions to independent assignments and core work
 Strengthening communication and social skills
 Learning how to share ideas on how to collaboratively solve problems
 Developing critical thinking and decisionmaking skills
ASSESSMENT
Grades are available online and parents receive three report cards each year. Our students will demonstrate their understanding through:
 Nine Unit Tests (at Lessons 5, 7, 8, 12, 13, 17, 21, 28, and 29)
 Final Comprehensive Exam
GRADE 8
Our balanced approach integrates the four elements of our program: Drills, Problem Solving, the Core Curriculum and Cooperative Group Work.
But the Spirit of Math program is much more than just math. We are using mathematics as a way to teach students how to learn, how to face challenges and how to work with others.
Here’s what we cover in Grade Eight:
DRILLS
 Simplifying Radicals: using knowledge of prime factoring to mentally simplify radicals into mixed form
PROBLEM SOLVING
 Jet Set Assignments: eight different problem sets assigned throughout the year covering a variety of challenging types of problems. The aim is to improve at problem solving and to prepare for math contests.
CORE CURRICULUM
 Radicals (various operations and applications)
 Exponents (exponent rules, patterns)
 Algebra (solving and graphing equations and inequalities, linear relations)
COOPERATIVE GROUP WORK
 Comparing and discussing homework solutions to independent assignments and core work
 Strengthening communication and social skills
 Learning how to share ideas on how to collaboratively solve problems
 Developing critical thinking and decisionmaking skills
ASSESSMENT
Grades are available online and parents receive three report cards each year. Our students will demonstrate their understanding through:
 Three Unit Tests (at Lessons 11, 22, and 28)
 Seven Problem Solving Tests based on the Jet Set Assignments (at Lessons 6, 10, 14, 18, 22, 26, and 30)
 Final Comprehensive Exam
GRADE 9
Our balanced approach integrates the four elements of our program: Drills, Problem Solving, the Core Curriculum and Cooperative Group Work.
But the Spirit of Math program is much more than just math. We are using mathematics as a way to teach students how to learn, how to face challenges and how to work with others.
Here’s what we cover in Grade Nine:
DRILLS
 There are no new drills in grade 9; however, students consolidate the skills they have acquired in previous grades through the core topics this year
PROBLEM SOLVING
 Cerebral Contortions: challenging weekly assignments that require students to use their previous knowledge in a problemsolving capacity, yet require a deeper level of thinking.
 The Big 100: an independent problem solving assignment intended to be a preparation for math contests the students have the option of writing
CORE CURRICULUM
 Review of geometry and algebra
 Solving systems of equations
 Factoring polynomials
 Absolute value
 Graphing techniques and transformations
COOPERATIVE GROUP WORK
 Comparing and discussing homework solutions to independent assignments and core work
 Strengthening communication and social skills
 Learning how to share ideas on how to collaboratively solve problems
 Developing critical thinking and decisionmaking skills
ASSESSMENT
Grades are available online and parents receive three report cards each year. Our students will demonstrate their understanding through:
 Weekly quizzes based on the Cerebral Contortion assignments (from Lessons 4 to 21)
 Five Unit Tests (at Lessons 6, 9, 13, 26, and 32)
 Final Comprehensive Exam
GRADE 10
Our balanced approach integrates the four elements of our program: Drills, Problem Solving, the Core Curriculum and Cooperative Group Work.
But the Spirit of Math program is much more than just math. We are using mathematics as a way to teach students how to learn, how to face challenges and how to work with others.
Here’s what we cover in Grade Ten:
DRILLS
 Mental Arithmetic: Starting in grade 1, Spirit of Math students complete their class with an oral mental math question given by the teacher (when it is answered correctly, the class may be dismissed). In grade 10, students do mental arithmetic drills with the question given on paper, where they need to mentally calculate the answer and write it down.
 Radian/degree equivalents: students mentally calculate radian measurements given a degree measurement, and vice versa
 Trigonometry drills: students mentally calculate trigonometric ratios of common angles given in degrees and radians
PROBLEM SOLVING
 Cerebral Contortions: challenging weekly assignments that require students to use their previous knowledge in a problemsolving capacity, yet require a deeper level of thinking.
 Math Challengers: assignments based on various topics (algebra, logic, and exponents and factoring) where the focus shifts from solving the problem and arriving at the correct answer to presenting thorough, wellorganized solutions
 Trigonometry contest questions: to consolidate their knowledge from the trigonometry unit this year, and to help prepare for upcoming math contests the students have the option of writing
Core Curriculum
 Trigonometry
 Logarithms
 Complex numbers and polar coordinates
 Conics
COOPERATIVE GROUP WORK
 Comparing and discussing homework solutions to independent assignments and core work
 Strengthening communication and social skills
 Learning how to share ideas on how to collaboratively solve problems
 Developing critical thinking and decisionmaking skills
ASSESSMENT
Grades are available online and parents receive three report cards each year. Our students will demonstrate their understanding through:
 Weekly quizzes based on the Cerebral Contortion assignments (from Lessons 9 to 21, 27, 37)
 Three Unit Tests (at Lessons 7, 13, and 19)
 Final Comprehensive Exam
GRADE 11
Our balanced approach integrates the four elements of our program: Drills, Problem Solving, the Core Curriculum and Cooperative Group Work.
But the Spirit of Math program is much more than just math. We are using mathematics as a way to teach students how to learn, how to face challenges and how to work with others.
Here’s what we cover in Grade Eleven:
DRILLS
 Mental Arithmetic: In grade 11, students continue practicing their mental calculation skills
PROBLEM SOLVING
 Problem sets based on the following topics:
 Functions
 Logarithms
 Algebraic equations
 Sequences and series
 Geometry Mania: challenging problems based on a variety of concepts in 2 and 3dimensional geometry
CORE CURRICULUM
 The grade 11 year focuses on Calculus. The material taught is comparable to that of a firstyear university calculus course. Topics covered include:
 Limits
 Derivative rules
 2^{nd} and 3^{rd} degree derivatives
 Derivatives of Logarithmic, Exponential & Trigonometric Functions
 Implicit Differentiation
 Partial Differentiation
 MaximumMinimum Problems
 Rates of Change Problems
 Curve Sketching
 Integrals & Applications
COOPERATIVE GROUP WORK
 Comparing and discussing homework solutions to independent assignments and core work
 Strengthening communication and social skills
 Learning how to share ideas on how to collaboratively solve problems
 Developing critical thinking and decisionmaking skills
ASSESSMENT
Grades are available online and parents receive three report cards each year. Our students will demonstrate their understanding through:
 Tests based on problem sets (at Lessons 6, 11, 18, and 27)
 Six Unit Tests (at Lessons 8, 16, 22, 25, 31, and 37)
 Final Comprehensive Exam