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numbersandnonsense
Mathematics
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Number
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Number Sense
- Reading and Writing Numbers to 100 000
- Place Value to 100 000
- Composing and Decomposing Large Numbers
- Expanded Form and Standard Form
- Comparing and Ordering Whole Numbers
- Rounding and Estimating Whole Numbers
- Representing Numbers on Number Lines
- Factors and Multiples
- Prime and Composite Numbers
- Introduction to Fractions as Parts of a Whole
- Equivalent Fractions
- Comparing and Ordering Fractions
- Mixed Numbers and Improper Fractions
- Decimal Tenths and Hundredths
- Comparing and Ordering Decimals
- Fractions and Decimals
- Introduction to Percents
- Connecting Fractions, Decimals, and Percents
Operations
- Multiplication Facts to 12 × 12
- Related Division Facts
- Mental Math Strategies for Addition and Subtraction
- Estimating Sums and Differences
- Adding Whole Numbers to 100 000
- Subtracting Whole Numbers to 100 000
- Adding Decimals to Hundredths
- Subtracting Decimals to Hundredths
- Solving Multi-Step Addition and Subtraction Problems
- Adding Fractions with Like Denominators
- Subtracting Fractions with Like Denominators
- Multiplying 2-Digit by 2-Digit Numbers
- Multiplying 3-Digit by 2-Digit Numbers
- Dividing 3-Digit Numbers by 1-Digit Numbers
- Dividing 3-Digit Numbers by 2-Digit Numbers
- Interpreting Remainders
- Estimating Products and Quotients
- Multiplication and Division Word Problems
- Introduction to Ratios
- Equivalent Ratios
- Introduction to Rates
- Solving Real-Life Ratio and Rate Problems
Algebra
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Patterns and Relationships
- Identifying Repeating Patterns
- Identifying Growing Patterns
- Identifying Shrinking Patterns
- Describing Pattern Rules in Words
- Creating Patterns from Rules
- Extending Number Patterns
- Using Tables of Values
- Graphing Pattern Relationships
- Predicting Future Terms in a Pattern
- Real-Life Patterns: Money, Measurement, Time, and Design
Equations and Inequalities
- What Is a Variable?
- Writing Expressions with Variables
- Understanding Equality
- Solving Equations with Missing Values
- Balancing Equations
- Understanding Inequalities
- Comparing Expressions Using <, >, and =
- Solving Real-Life Problems with Equations
Coding
- Reading Simple Code
- Writing Code with Repeating Commands
- Using Loops in Math Patterns
- Using Variables in Code
- Using Conditional Statements
- Debugging Code
- Coding a Growing Pattern
- Coding a Coordinate Grid Movement
- Coding a Math Game or Simulation
Mathematical Modelling
- What Is Mathematical Modelling?
- Understanding a Real-World Problem
- Choosing Useful Information
- Creating a Mathematical Model
- Testing Whether a Model Works
- Revising a Model
- Modelling a Budget Problem
- Modelling a Measurement Problem
- Modelling a Data Problem
- Solving a Real-Life Problem Using a Mathematical Model
Data
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Data Literacy
- What Is Data?
- Asking Good Survey Questions
- Populations and Samples
- Representative and Non-Representative Samples
- Sampling Techniques
- Collecting Primary Data
- Using Secondary Data
- Organizing Data in Frequency Tables
- Relative-Frequency Tables
- Choosing the Best Graph
- Creating Stacked-Bar Graphs
- Labelling Graphs with Titles, Scales, Sources, and Keys
- Reading and Interpreting Graphs
- Misleading Graphs and Data Bias
- Creating an Infographic
- Using Data to Make an Argument
Probability
- Probability Vocabulary: Impossible to Certain
- Probability as a Fraction
- Using a Probability Line
- Theoretical Probability
- Experimental Probability
- Comparing Theoretical and Experimental Results
- Conducting Probability Experiments
- Making Predictions Using Probability
- Fair and Unfair Games
- Designing a Probability Game
Spatial Sense
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Geometric and Spatial Reasoning
- Properties of Triangles
- Classifying Triangles by Sides
- Classifying Triangles by Angles
- Interior Angles of a Triangle
- Constructing Triangles with Side Lengths
- Constructing Triangles with Angle Measurements
- Introduction to the Cartesian Plane
- Plotting Ordered Pairs
- Reading Coordinates
- Creating Shapes on a Grid
- Translations on a Grid
- Reflections on a Grid
- Rotations up to 180°
- Predicting the Results of Transformations
- Transformation Art or Design Task
Measurement
- Choosing Appropriate Metric Units
- Estimating and Measuring Length
- Estimating and Measuring Mass
- Estimating and Measuring Capacity
- Metric Unit Relationships
- Measuring and Constructing Angles
- Estimating Angle Measures
- Time Intervals
- Perimeter of Polygons
- Area of Rectangles
- Area of Parallelograms
- Area of Triangles
- Comparing Area and Perimeter
- Same Area, Different Perimeter
- Same Perimeter, Different Area
- Solving Real-Life Area and Perimeter Problems
Financial Literacy
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Money and Finances
- Ways Money Can Be Transferred
- Cash, Debit, Credit, E-Transfer, Gift Cards, and Online Payments
- Choosing the Best Payment Method for a Situation
- Reading Prices in Dollars and Cents
- Estimating the Cost of Multiple Items
- Adding Money Amounts
- Calculating Change
- What Is Sales Tax?
- Estimating Sales Tax
- Calculating Total Cost with Tax
- Comparing Prices and Deals
- Needs vs. Wants
- E-Transfer, Gift Cards, and Online Payments
- Earning, Spending, Saving, and Donating
- What Is a Budget?
- Creating a Simple Budget
- Adjusting a Budget When Costs Change
- Planning a Purchase or Event Within a Budget
Science and Technology
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Life Systems
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Human Health and Body Systems
- Introduction to Human Body Systems
- The Respiratory System: Breathing and Gas Exchange
- The Circulatory System: Heart, Blood, and Blood Vessels
- The Digestive System: How the Body Uses Food
- The Nervous System: Brain, Spinal Cord, and Nerves
- The Musculoskeletal System: Bones, Muscles, and Movement
- The Excretory System: Removing Waste from the Body
- Vital Organs and Their Functions
- How Body Systems Work Together
- How Exercise Affects Body Systems
- Food Literacy: Nutrition, Energy, and Health Choices
- Social and Environmental Factors That Affect Health
- Technology and Human Health: Helpful and Harmful Effects
- Diseases and Disorders That Affect Body Systems
- Creating a Body Systems Health Poster or Presentation
Matter and Energy
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Properties of and Changes in Matter
- What Is Matter? Mass and Volume
- Solids, Liquids, and Gases
- Properties of Solids
- Properties of Liquids
- Properties of Gases
- Measuring Matter: Mass, Volume, and Capacity
- Changes of State: Melting, Freezing, Evaporation, Condensation
- Thermal Energy and Changes of State
- Physical Changes in Matter
- Chemical Changes in Matter
- Signs of a Chemical Change
- Reversible and Irreversible Changes
- Choosing Materials for a Purpose
- How Products Are Made: Materials and Manufacturing
- Environmental Impacts of Materials and Manufacturing
- Designing an Eco-Friendly Product or Material Choice
Structures and Mechanisms
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Forces Acting on Structures and Mechanisms
- What Is a Structure? Natural and Built Structures
- What Is a Force? Pushes, Pulls, Loads, and Motion
- Internal Forces: Tension and Compression
- External Forces: Gravity, Wind, Water, and Human Forces
- Stable vs. Unstable Structures
- Shape and Strength: Triangles, Arches, and Columns
- Materials That Help Structures Withstand Forces
- Natural Forces: Earthquakes, Wind, Flooding, Ice, and Erosion
- How Communities Design Structures for Safety
- Forces in Urban, Rural, and Remote Communities
- Animal and Plant Structures That Protect Against Forces
- Protective Equipment: Helmets, Pads, Seatbelts, and Safety Gear
- Building and Testing a Strong Structure
- Designing a Structure That Withstands a Natural Force
Earth and Space Systems
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Conservation of Energy and Resources
- What Is Energy?
- Forms of Energy: Light, Sound, Thermal, Electrical, Mechanical, Chemical
- Energy in Everyday Life
- Potential and Kinetic Energy
- Energy Transformations
- The Law of Conservation of Energy
- Energy Loss: Heat, Light, and Sound
- Renewable Energy Sources
- Non-Renewable Energy Sources
- Fossil Fuels and the Atmosphere
- Energy Use and Climate Change
- Natural Resources and Human Use
- Ways to Conserve Energy at Home and School
- Technology That Reduces Energy Use
- First Nations, Métis, and Inuit Knowledge About Conservation
- Creating an Energy Conservation Plan