Saint Vincent and the Grenadines Grade 6 Mathematics Curriculum

This curriculum outline is based on the OECS PRIMARY GRADES' LEARNING STANDARDS FOR MATHEMATICS. The curriculum is organized into four strands: Number Sense, Understanding Measurement, Geometric Thinking, and Data Handling. Each strand includes several sub-strands, focusing on developing specific skills and knowledge.

STRAND: NUMBER SENSE (NS)

• Sub-Strand: Understanding Numbers (UN)
• Read, write, count, expand, and compare numbers up to seven digits. Differentiate face value, place value, and total value.
• Round numbers to the nearest ten, hundred, and thousand.
• Solve problems involving ordinal numbers.
• Generate, model, and classify types of whole numbers (odd, even, prime, composite, and squares).
• Generate factors, common factors, highest common factors, multiples, common multiples, and lowest common multiples.
• Represent, compare, and order decimal numbers to hundredths.
• Represent, compare, classify, and order fractions (proper, improper, mixed numbers) with like and unlike denominators up to 12.
• Use percentages (10%, 20%, 25%, 50%, 75%, and 100%) for estimations.
• Sub-Strand: Operational Sense (OS)
• Use mental and written strategies to add, subtract, multiply, and divide whole numbers.
• Investigate the results of the four operations on even and odd numbers and formulate generalizations.
• Use relationships between addition/subtraction and multiplication/division to check results.
• Solve one- and two-step problems involving the four operations; check reasonableness of solutions.
• Add and subtract decimals to hundredths; multiply and divide decimals to tenths by whole numbers.
• Investigate and generalize results of multiplying whole numbers by 0.1 and 0.01, and multiplying/dividing decimals by 10 and 100.
• Generate equivalent fractions with denominators up to 12.
• Add and subtract two fractions (proper, improper, mixed numbers) where one denominator is a multiple of the other.
• Interpret multiplication of a whole number by a fraction and the product of two simple fractions.
• Count forward in fractional parts and decimals.
• Sub-Strand: Proportional Reasoning (PR)
• Investigate the relationship among percentages, decimals, and fractions.
• Illustrate and explain percentages larger than 100%; find a percentage of a quantity; express one quantity as a percentage of another; convert among percentages, fractions, and decimals.
• Interpret and simplify ratios in real-life contexts.
• Interpret the relationship among ratios, percentages, fractions, and decimals; convert among them.
• Share a quantity into two parts according to a given ratio.
• Solve real-life problems involving fractions, percentages, and ratios.
• Sub-Strand: Number Patterns (NP)
• Describe, complete, and extend whole number patterns.
• Formulate generalizations about the order of operations.
• Construct and solve simple equations with an unknown quantity.
• Solve missing number problems using symbols; generate pairs of whole numbers that satisfy equations with two unknowns.

STRAND: UNDERSTANDING MEASUREMENT (UM)

• Sub-Strand: Linear Measurement (LM)
• Select and justify the choice of instrument and unit (millimeter, centimeter, meter, and kilometer) to measure length and distance.
• Convert between units of length, including fractional parts (halves, quarters, and tenths).
• Use the approximate equivalence of 1 inch ≈ 2.5 centimeters and 1 yard (3 feet) ≈ 90 centimeters.
• Determine the perimeter of regular and irregular plane shapes.
• Use algebraic thinking to determine missing sides given the perimeter.
• Sub-Strand: Measuring Area (MA)
• Determine the area of right-angled triangles and relate it to the corresponding rectangle.
• Determine the total area of compound shapes.
• Investigate rectangles with the same perimeter but different areas.
• Solve one- and two-step problems involving the area of rectangles and squares.
• Sub-Strand: Measuring Capacity (MC)
• Select and justify the choice of unit (milliliter and liter) to measure capacity.
• Convert between liters and milliliters, including fractional parts.
• Use the approximate equivalence of 1 gallon ≈ 3.8 liters.
• Read and interpret labels on packages to determine capacity.
• Solve problems related to capacity.
• Sub-Strand: Measuring Mass (MM)
• Select and justify the choice of unit (gram and kilogram) to measure mass.
• Convert between kilograms and grams, including fractional parts.
• Use the approximate equivalence of 1 kilogram ≈ 2.2 pounds.
• Read and interpret labels on packages to determine mass.
• Solve problems related to mass.
• Sub-Strand: Understanding Time (UT)
• Tell time accurately using am/pm and 24-hour notation.
• Measure and calculate elapsed time.
• Solve problems involving time.
• Sub-Strand: Money Works (MW)
• Read and write money amounts up to $100,000.
• Perform the four operations on money; generate different combinations of notes for the same amount.
• Calculate total cost, make change, and explain strategies used.
• Use terms like cost price, selling price, profit, loss, discount, tax, and interest in buying and selling situations.
• Round money amounts to the nearest 5-cent.
• Solve problems involving money transactions.

STRAND: GEOMETRIC THINKING (GT)

• Sub-Strand: Points & Lines (PL)
• Recognize that line segments, rays, and lines are one-dimensional while a plane is two-dimensional.
• Distinguish between parallel and intersecting lines, and vertical and horizontal lines.
• Sub-Strand: Understanding Angles (UA)
• Classify angles as acute, right, obtuse, straight, and reflex.
• Estimate and calculate missing angles in triangles, squares, and rectangles.
• Relate four quarter turns to a whole turn and the sum of angles at the center of a circle (360°).
• Solve problems involving angles.
• Sub-Strand: Plane Shapes (PS)
• Name and sketch polygons with up to six sides.
• Classify quadrilaterals based on their properties.
• Determine the number of lines of symmetry.
• Classify triangles based on their properties.
• Investigate the relationship between the diameter and other parts of a circle.
• Calculate missing angles and sides in 2D shapes.
• Solve problems related to 2D shapes.
• Sub-Strand: Solid Shapes (SS)
• Describe and compare properties of 3D shapes using mathematical language.
• Investigate different nets for cubes and cuboids.
• Predict and compare results when a 3D shape is cut parallel to one of its faces.
• Solve problems based on 3D shapes and their nets.
• Sub-Strand: Directional Sense (DS)
• Represent the position of points in the first quadrant of the Cartesian plane.
• Construct 2D shapes and translate them on coordinated grid paper.
• Predict the position of missing vertices of triangles and quadrilaterals in the Cartesian plane.
• Predict the position and size of a shape before and after translation or reflection.
• Use directions to draw plane shapes.
• Solve problems relating to position and direction.

STRAND: DATA HANDLING (DH)

• Sub-Strand: Data Collection (DC)
• Ask questions suitable for collecting data; identify the population; record responses.
• Collect data from interviews, observations, questionnaires, experiments, and direct measures.
• Use tally charts and computer software to organize data.
• Sub-Strand: Data Representation (DR)
• Construct two-way tables to organize data.
• Create tables, bar graphs, and line graphs using grid paper and computer software.
• Select appropriate methods and scales for representing data.
• Sub-Strand: Data Interpretation (DI)
• Read and interpret data presented in various forms.
• Identify trends in data.
• Determine range, median, mode, and mean of a small data set and use these values to make comments about the data.
• Identify patterns and trends in data and make inferences.