Focus: Number sense, mental strategies, early multiplication and division, fractions, and confidence with problem solving.

Students work with:

• addition and subtraction fluency

• number bonds

• making 10s and 20s

• friendly-number making strategies

• doubles and halves

• introductory integer work

• efficient addition with numbers up to 100

• 1 × 1 multiplication and division

• multiplication and division number bonds

• fractions and equivalent fractions

• comparing fractions

• mixed and improper fractions

• beginning fraction additions and subtraction

• geometry

• time and money

Problem Solving:

• logic problems

• Venn diagrams

• Gauss-type problems

• counting pathways

• interval problems

• time and money problems

• visual reasoning

• competition-stye questions

Students also learn to interpret visual situations, describe mathematical relationships in words, and translate their thinking into mathematical representations.

Focus: Stronger computation, multiplication and division, fractions, geometry, data, and applying mathematics in real-life situations.

Students work with:

• addition, subtraction, and integer fluency

• regrouping

• multiplication and division facts

• progression to 2 × 1 multiplication and division

• short multiplication and division strategies • equivalent fractions

• mixed and improper fractions

• comparing and ordering fractions

• geometry

• time and money

• data and graphs

• Cartesian plane

  
  Problem solving includes:

• Venn diagrams

• Gauss-type problems

• Chicken and Rabbit problems

• logic problems

• time and money applications

• multi-step word problems

• competition reasoning

  Students become more independent in choosing strategies and using models, diagrams, and mathematical relationships to organize their thinking.

Focus: multi-digit computation, number theory, fractions, geometry, order of operations, and more sophisticated reasoning.

Students work with:

• multi-digit addition and subtraction

• integer computation

• multiplication up to approximately 3-digit × 3-digit

• short and long multiplication and division

• order of operations

• efficient multiplication and division strategies

• prime and composite numbers

• factors and factor pairs

• divisibility rules

• equivalent fractions

• comparing and ordering fractions

• fraction addition and subtraction

• mixed and improper fractions

• circles and angles

• triangles, quadrilaterals, and polygons

• symmetry

• Cartesian coordinates

• area and perimeter

  Problem solving includes:

• Venn diagrams

• Gauss-type problems

• interval problems

• counting pathways

• Chicken and Rabbit problems

• logic problems

• competition-style challenges

  Students increasingly learn to organize information systematically, recognize mathematical structure, use models, and justify their reasoning.

Focus: advanced fractions, number theory, geometry, data, probability, coding, and multi-step problem solving.

Students work with:

• multiplication up to approximately 4-digit × 3-digit

• long multiplication and division

• order of operations

• strategic rearrangement of multiplication and division expressions

• exponents

• factors and multiples

• divisibility

• prime and composite numbers

• GCF and LCM

• prime factorization

• equivalent and simplified fractions

• comparing several fractions with different denominators

• mixed and improper fractions

• adding and subtracting unlike fractions

• multiplying and dividing fractions

• measuring angles

• compass constructions

• missing angles

• triangle and polygon angle sums

• area and perimeter

• data management

• probability

• coding

  Problem solving includes:

• interval problems

• Solve by Assuming

• logic problems

• LCM and GCF applications

• fraction problems

• geometry problems

• competition reasoning

  Students begin combining several mathematical ideas within the same problem and choosing the most efficient path to a solution.

Focus: advanced computation, fractions, decimals, percentages, ratios, averages, geometry, and sophisticated problem-solving strategies.

Students work with:

• multiplication up to approximately 4-digit × 4-digit

• long multiplication and division

• decimal multiplication and division

• signed numbers

• order of operations

• prime factorization

• GCF and LCM

• divisibility

• fraction addition and subtraction

• fraction multiplication and division

• simplifying fractions

• mixed and improper fractions

• decimals

• percentages

• conversions among fractions, decimals, and percentages

• averages

• ratios

• geometry

  Problem solving includes:

• logic problems

• Solve by Assuming

• speed problems

• bar models and other mathematical models

• working backwards

• interval problems

• ratio problems

• average problems

• fraction, decimal, and percentage applications

• multi-step geometry problems

  Students learn that difficult problems are often solved by finding the right representation or strategy before beginning the calculation.

Focus: advanced numeracy, algebraic thinking, proportional reasoning, graphs, geometry, data, and probability.

Students work with:

• large-number multiplication, including approximately 5-digit × 3- or 4-digit

• long multiplication and division

• decimal computation

• advanced fraction, decimal, and percent fluency

• number patterns

• Cartesian plane

• linear graphs

• algebraic expressions

• algebraic manipulation

• equations

• inequalities

• ratios and proportions

• rates and speed

• perimeter and area

• composite figures

• volume

• surface area

• data handling

• probability of simple and combined events

  Problem solving includes:

• algebraic reasoning

• Solve by Assuming

• ratio and proportion problems

• rate and speed problems

• geometry and measurement problems

• data and probability problems

• multi-step competition questions

  Students learn to move confidently among numbers, diagrams, models, tables, graphs, and algebraic representations, making connections across different areas of mathematics.

MATH OFF THE MAP - Grade 7 Enrichment

Leave familiar math behind. The adventure starts where the map ends. Students journey into unexplored mathematical territory — discovering number systems, modular math, sequences, equations, functions, logic and set theory while uncovering surprising patterns and hidden connections along the way. With every puzzle and challenge, there is something new to explore, question, crack and discover. No map. New territory. Endless possibilities.

MATH OFF THE GRID — Grade 8 Enrichment

What happens when mathematics becomes a web of connections? The year begins with networks and graph theory — exploring trees, Euler and Hamiltonian paths, graph coloring, matrices, and the mathematics behind complex networks. Students will analyze structures, uncover hidden connections, develop strategies, and tackle problems where the solution is not immediately visible. Think deeper. Connect the dots. Find the way.