
Public learning track
Foundations of Volume and Capacity
Kindergarten · Math · Curriculum for Excellence
8 lessons
Goal
Build conceptual understanding of 3D volume using unit cubes, apply standard formulas for cubes and cuboids, and connect cubic units to liquid capacity and water displacement.
Featured Diagrams
Understanding Volume as the Space Occupied by a 3D Solid
8 lessons
0 of 8 done
- 1Understanding Volume as the Space Occupied by a 3D SolidUp nextStart
- 2Finding Volume by Counting Unit CubesPremiumNot started yet
- 3Building Rectangular Prisms in LayersNot started yet
- 4Connecting Base Area and Height to VolumeNot started yet
- 5Using the Volume Formula for Cubes: Side CubedNot started yet
- 6Using the Volume Formula for Cuboids: Length × Width × HeightNot started yet
- 7Connecting Cubic Centimeters to Milliliters and LitersNot started yet
- 8Finding the Volume of Irregular Solids by Water DisplacementNot started yet
Curriculum Framework
Kindergarten · Math · Curriculum for Excellence
1
7 lessons
Foundations of Profit, Loss, and Break-Even
Understand cost price, selling price, and break-even points, and calculate basic profit and loss across single and multiple transactions.
2
8 lessons
Enterprise Budgeting and Financial Planning
Apply profit and loss calculations to real-world enterprise scenarios, including production costs, budgeting stalls, product margins, and financial statements.
3
9 lessons
Reading Transit Timetables and Journey Planning
Read 12- and 24-hour schedules, calculate travel durations, and plan single and multi-leg transit journeys.
4
7 lessons
Event Scheduling, Itineraries, and Timetable Problem-Solving
Interpret broadcast and event listings, design structured itineraries, and solve complex scheduling and delay-management problems.
5
8 lessons
Practical Timing and Scientific Investigations
Select appropriate units of time and use stopwatches to measure physical phenomena and biological processes accurately.
6
7 lessons
Time Conversions and Experimental Data Analysis
Master converting between units of time and analyze experimental timing data using averages, graphs, and error evaluation.
7
8 lessons
Calculating Speed, Distance, and Time
Master the core relationships and formulas linking speed, distance, and time to solve fundamental travel time and pace calculations.
8
8 lessons
Journey Planning and Distance-Time Graphs
Apply speed and time calculations to plan realistic multi-leg journeys, compare transport modes, and interpret distance-time graphs.
9
10 lessons
Establishing Measurement Benchmarks: Length, Mass, Capacity, and Area
Build an intuitive mental library of everyday reference objects and body benchmarks to estimate length, mass, liquid capacity, and surface area.
10
5 lessons
Applying and Refining Measurement Estimation Skills
Refine estimation accuracy through measurement feedback, strategic reasoning, real-world DIY scenarios, and interactive challenges.
11
5 lessons
Converting Metric Units of Length
Master the base-10 structure of the metric system and convert fluently between millimeters, centimeters, meters, and kilometers using whole numbers and decimals.
12
6 lessons
Converting Metric Units of Mass and Capacity
Convert accurately between metric units of mass (g, kg, t) and capacity (mL, cL, L) using decimal notation and place value.
13
7 lessons
Calculations and Problem Solving with Metric Measurements
Perform arithmetic with mixed metric units, read measurement scales, and solve multi-step real-world measurement problems.
14
9 lessons
Foundations of Perimeter and Area
Understand linear perimeter and surface area concepts, apply standard formulas to squares and rectangles, and determine missing side lengths.
15
9 lessons
Triangles, Compound Figures, and Applied Measurement
Calculate areas of triangles and composite rectilinear figures using decomposition methods, compare perimeter-area relationships, and solve real-world design problems.
16
8 lessons
Foundations of Volume and Capacity
Build conceptual understanding of 3D volume using unit cubes, apply standard formulas for cubes and cuboids, and connect cubic units to liquid capacity and water displacement.
17
8 lessons
Applied Volume, Compound Solids, and Problem Solving
Solve multi-step problems involving compound 3D shapes, missing dimensions, container capacity, packing, and the distinction between volume and surface area.
18
7 lessons
Historical Mathematics: From Ancient Civilizations to the Scientific Revolution
Explore how early mathematical innovations—from the invention of zero and geometry to algebra and logarithms—shaped world history, art, and early science.
19
7 lessons
Mathematics in Modern Technology and the Digital Age
Discover how mathematical algorithms, calculations, and data structures power modern computing, digital imaging, space travel, and internet technology.
20
7 lessons
Arithmetic, Geometric, and Figurate Sequences
Identify term-to-term sequence rules and construct visual figurate number patterns including square, triangular, and cube numbers.
21
9 lessons
Famous Sequences and Advanced Pattern Rules
Investigate iconic sequences such as Fibonacci numbers and Pascal's Triangle, and master two-step and position-to-term rules for solving complex sequence puzzles.
22
8 lessons
Introduction to Variables and One-Step Equations
Understand variables and algebraic notation, and master solving and checking single-step equations using inverse operations.
23
8 lessons
Multi-Step Equations and Algebraic Problem Solving
Solve multi-step equations and apply algebraic reasoning to solve word problems, geometric puzzles, and formula evaluations.