Samoa Year 3 Curriculum - Mathematics

Number and Operations

Whole Numbers

Students learn to count, order, read, write, partition, regroup and record numbers up to 999. They use mental and written strategies, including the formal written algorithm, to solve addition and subtraction problems involving numbers of up to three digits.

• Counting, Ordering, and Place Value: Students develop skills in counting forwards and backwards to 999 by tens and hundreds. They recognize, read, partition, regroup, represent, and order numbers up to 999 using place value.
• Addition and Subtraction: Students model and represent addition and subtraction involving two- and three-digit numbers up to 999 using various mental and written strategies. They describe, justify, and record methods for adding and subtracting, applying both informal strategies and formal written algorithms.

Multiplication and Division

Students use mental strategies to recall multiplication facts up to 100 and related division facts. They use informal written strategies for multiplication and division of two-digit numbers by one-digit numbers.

• Multiplication Facts and Strategies: Students develop mental fluency with multiplication facts up to 10 x 10 and extend skip counting by fours, sevens, eights, and nines. They find multiples and squares of numbers.
• Division Facts and Strategies: Students interpret division problems without remainders and link them to the relationships between multiplication, addition, and division. They use efficient mental and informal written strategies for multiplying or dividing a two-digit number by a one-digit number, using multiplication facts up to 10 x 10.

Fractions and Decimals

Students model, compare, and represent eighths and thirds in everyday situations. They also model, compare, represent, add, and subtract decimals to two decimal places. They perform simple calculations with money up to $5 and use estimation to check their solutions.

• Fractions: Students model, compare, and represent fractions with denominators of 2, 4, and 8, extending to fractions with a denominator of 3. They find equivalences between halves, quarters, and eighths.
• Decimals: Students add and subtract decimals with the same number of decimal places (up to two decimal places). They represent money values in multiple ways and calculate change in simple transactions.

Chance

Students order events from least likely to most likely. They identify and record all the outcomes for a simple chance experiment.

Likelihood of Events: Students order events from least likely to most likely. They explore, identify, interpret, and record all outcomes of a simple chance situation. They discuss the degree of likelihood using words such as certain, equally likely, more or less likely, and never*.

Patterns and Algebra

Students generate, describe, and record number patterns. They relate multiplication and division facts to at least 100. They solve word problems involving patterns and relationships.

• Number Patterns: Students create, describe, and extend number patterns using various strategies. They analyze and describe change in growing patterns and use tables to make predictions.
• Quantitative Relationships: Students model and extend quantitative relationships involving multiplication and division facts up to 10 x 10. They determine the value of a missing number in simple number sentences involving one operation.

Data Analysis

Students gather and organize data, display data using tables, and interpret the results.

• Investigations and Data Collection: Students design investigations to answer questions about familiar situations. They decide what data to collect, carry out the investigation, classify, and organize data using tables. They read and interpret data presented in tables and explain their interpretations.

Measurement

Students estimate, measure, compare, and record length, area, volume, capacity, and mass using formal units relevant to the Year 3 content. They read and record time in quarter-hour intervals using digital and analog notation and compare time units.

• Length: Students use formal units (meters, centimeters, and millimeters) to estimate, measure, compare, order, and record lengths and distances. They perform simple unit conversions within the metric system.
• Area: Students understand the need for, and use, formal units (square centimeters) to estimate, measure, compare, and record areas.
• Volume and Capacity: Students understand the need for, and use, formal units (liters and cubic centimeters) to estimate, measure, and compare capacity and volume.
• Mass: Students understand the need for, and use, formal units (kilograms) to measure mass.
• Time: Students read digital and analog clocks to the quarter-hour, record time using correct notation, and interpret simple timetables and timelines.

Space and Geometry

Students make, compare, and describe 3D objects, including pyramids, and represent them in drawings. They manipulate, compare, sketch, and name 2D shapes, describing their features. They compare angles using informal means and use simple maps and grids to represent position and follow routes.

• Three-Dimensional Objects: Students model, compare, describe, and sketch 3D objects, including pyramids and prisms.
• Two-Dimensional Shapes: Students rearrange, label, compare, describe, build models of, and draw various 2D shapes, including pentagons and parallelograms, presented in different orientations. They compare and describe features of special groups of quadrilaterals and use reflections to create tessellating designs. They also recognize, identify, and name perpendicular lines and describe angles using everyday language, classifying them as right angles or not.
• Position: Students draw simple maps and plans to represent the relative position of objects and determine directions (N, S, E, W) given one of the directions. They describe locations using grid coordinates or directions on a simple map.