Focuses on basic addition and subtraction, number recognition up to 100, understanding place value, and solving simple word problems. Introduces concepts of time and money, and explores basic shapes and measurements to build a strong numerical foundation.

Emphasizes mastery of multiplication and division facts, introduces fractions as parts of a whole, and explores concepts of area and perimeter. Strengthens skills in addition and subtraction with larger numbers and begins simple data interpretation and representation.

Develops addition and subtraction fluency, introduces basic multiplication and division, and strengthens understanding of place value. Explores simple fractions, measurement units, and geometric shapes. Emphasizes solving word problems and logical thinking to enhance mathematical reasoning.

Working with data on graphs, from reading graphs to analyzing multi-series data sets

A deeper understanding of numbers including negatives and divisibility rules

Percents from concept introduction to interest rate problems

Proportional thinking with rates and ratios

Visual patterns of shapes and colors including pattern extension and term value

Builds on multi-digit multiplication and division, deepens understanding of fractions and decimals, and introduces geometry concepts like angles, lines, and symmetry. Focuses on solving multi-step word problems and understanding factors and multiples for number theory foundations.

Strengthens skills in working with fractions and decimals, including addition, subtraction, multiplication, and division. Introduces volume, explores more complex geometrical shapes, and begins basic algebraic thinking with simple expressions and equations. Emphasizes problem-solving and critical thinking.

Focuses on ratios and proportional relationships, introduces the concept of negative numbers, and begins formal algebraic thinking with variables and expressions. Explores data analysis, statistical measures, and basic geometry, including area, surface area, and volume of shapes.

Develops understanding of algebraic expressions and linear equations, works with rational numbers and proportions, and introduces probability and statistics. Explores geometric concepts like scale drawings, circles, and three-dimensional figures to build a strong mathematical foundation.

Emphasizes solving linear equations and systems of equations, explores functions and their properties, and covers advanced geometry, including transformations and the Pythagorean Theorem. Prepares students for more advanced algebra with a focus on analytical thinking and problem-solving.

Focuses on understanding and applying linear equations, inequalities, and functions, introduces quadratic equations and basic polynomials. Explores real numbers, exponents, and radicals to build a foundation for advanced algebraic concepts and problem-solving skills.

Emphasizes properties and relations of points, lines, surfaces, and solids, explores geometric proofs, and introduces basic trigonometry. Covers congruence, similarity, transformations, and the relationships between geometric shapes to develop spatial reasoning and logical thinking.

Builds on grades 9 and 10, covering complex numbers, advanced polynomials, exponential and logarithmic functions, and sequences and series. Introduces conic sections, matrices, and advanced equation solving techniques to prepare students for higher-level mathematics.

Prepares students for university-level calculus by covering advanced functions, trigonometry, limits, and introductory differential calculus. Emphasizes mathematical modeling, problem-solving, and analytical thinking to ensure readiness for higher education and STEM careers.

An understanding of addition and subtraction from single digits to multiple digits

Algebraic thinking from the introduction of a variable to polynomials

Circular geometry from the concept of Pi to sectors and arc lengths

Exponents from the basic concept to negative and fractional exponents

Working with factors and primes from factorization to simplifying complex problems

Fractions and decimals from introduction to multiplication and division

Geometry in 2 Dimensions from basic shapes to advanced work with circular geometry

Geometry in 2 Dimensions from basic shapes to volumes and surface area

Understanding the metric system and converting between units

Multiplication and division from its introduction to advanced use

Basic concepts of numeracy including counting, inequalities, and ordering

Number patterns from simple repetition to deriving formulas for advanced patterns

The concept of place value from the tens and hundreds places through to the concept of decimals

Chance and probability from single events to multiple events

Geometry of right triangles and Pythagoras in 2 and 3 dimensions

Simplifying, multiplying, and dividing radicals

Scientific notation and the powers of ten, including the relation to metric units

Introduction to geometry through basic shapes and angles

Slope and linear equations, from the concept of slope to linear equation graphing and intersection

Calculations of speed and logic problems including unit changes

Mean, median, mode, and working with group statistics

Working with time, from telling time to calculating differences

Trigonometry from concept introduction to advanced work with triangles and functions