Grade 6 Curriculum
Below are skills needed, with links to resources to help with that skill. We also encourage plenty of exercises and book work. Curriculum Home
Important: this is a guide only.
Check with your local education authority to find out their requirements.
Grade 6 | Subtraction
☐ Understand what is meant by the tens complement, one hundreds complement etc of a whole number; and use the method of subtraction by addition.
Grade 6 | Multiplication
☐ Define and identify the zero property of multiplication
Grade 6 | Numbers
☐ Read and write whole numbers to trillions
☐ Define absolute value and determine the absolute value of rational numbers (including positive and negative)
☐ Locate rational numbers on a number line (including positive and negative)
☐ Order rational numbers (including positive and negative)
☐ Define and identify the commutative and associative properties of addition and multiplication
☐ Evaluate numerical expressions using order of operations (may include exponents of two and three)
☐ Define and identify the distributive property of multiplication over addition
☐ Define and identify the identity and inverse properties of addition and multiplication
☐ Inverse
Grade 6 | Decimals
☐ Represent fractions as terminating or repeating decimals
☐ Use a variety of strategies to add, subtract, multiply, and divide decimals to millionths
Grade 6 | Fractions
☐ Add and subtract fractions with unlike denominators
☐ Multiply, and divide fractions with unlike denominators.
☐ Multiply and divide mixed fractions with unlike denominators
☐ Identify the multiplicative inverse (reciprocal) of a number
☐ Inverse
☐ Find multiple representations of rational numbers (fractions, decimals, and percents 0 to 100)
Grade 6 | Percentages
☐ Read, write, and identify percents of a whole (0% to 100%)
☐ Solve percent problems involving percent, rate, and base
Grade 6 | Ratios
☐ Solve simple proportions within context
☐ Ratios
☐ Understand the concept of ratio
☐ Ratios
☐ Express equivalent ratios as a proportion
☐ Ratios
☐ Distinguish the difference between rate and ratio
☐ Solve proportions using equivalent fractions
Grade 6 | Measurement
☐ Measure capacity and calculate volume of a rectangular prism
☐ Identify metric units of capacity (milliliters, liters)
☐ Identify equivalent metric units of capacity (milliliters to liters and liters to milliliters; or vice versa)
☐ Determine the tools and techniques required to measure with an appropriate level of precision: capacity (metric units)
☐ Determine personal references for capacity (metric units)
☐ Understand conversion of measurements
☐ Convert from degrees Celsius to degrees Fahrenheit and vice versa
☐ Identify US standard units of capacity (fluid ounces, cups, pints, quarts, and gallons)
☐ Identify equivalent US standard units of capacity (fluid ounces to cups, cups to pints, pints to quarts, and quarts to gallons; or vice versa)
☐ Determine the tools and techniques required to measure with an appropriate level of precision: capacity (US standard units)
☐ Determine personal references for capacity (US standard units)
Grade 6 | Time
☐ Understand Leap Years
☐ Years
☐ Understand AD and BC
Grade 6 | Geometry (Plane)
☐ Calculate the length of corresponding sides of similar triangles (or other simple similar shapes), using proportional reasoning
☐ Similar
☐ Calculate the area of basic polygons drawn on a coordinate plane (rectangles and shapes composed of rectangles having sides with integer lengths)
☐ Determine the areas of triangles and quadrilaterals (squares, rectangles, parallelograms, rhombi, and trapezoids) and develop formulas
☐ Use a variety of strategies to find the area of regular and irregular polygons
☐ Identify radius, diameter, chords and central angles of a circle
☐ Circle
☐ Understand the relationship between the diameter and radius of a circle
☐ Circle
☐ Determine the area and circumference of a circle, using the appropriate formula
☐ Pi
☐ Circle
☐ Calculate the area of a sector of a circle, given the measure of a central angle and the radius of the circle
☐ Circle
☐ Understand the relationship between the circumference and the diameter of a circle
☐ Circle
☐ Pi
☐ Determine the area of an ellipse using the appropriate formula
Grade 6 | Geometry (Solid)
☐ Determine the volume of rectangular prisms (cuboids) by counting cubes and develop the formula
Grade 6 | Algebra
☐ Use substitution to evaluate algebraic expressions (may include exponents of one, two and three)
☐ Solve and explain two-step equations involving whole numbers using inverse operations
☐ Inverse
☐ Evaluate formulas for given input values (circumference, area, volume, distance, temperature, interest, etc.)
Grade 6 | Exponents
☐ Represent repeated multiplication in exponential form
☐ Represent exponential form as repeated multiplication
☐ Evaluate expressions having exponents where the power is an exponent of one, two, or three
Grade 6 | Coordinates
☐ Identify and plot points in all four quadrants
☐ Point
Grade 6 | Linear Equations
☐ Translate two-step verbal expressions into algebraic expressions
☐ Translate two-step verbal sentences into algebraic equations
Grade 6 | Data
☐ Develop the concept of sampling when collecting data from a population and decide the best method to collect data for a particular question
☐ Record data in a frequency table
☐ Construct Venn diagrams to sort data
☐ Determine and justify the most appropriate graph to display a given set of data (pictograph, bar graph, line graph, histogram, or circle graph)
☐ Determine the mean, mode and median for a given set of data
☐ Determine the range for a given set of data
☐ Read and interpret graphs
☐ Justify predictions made from data
☐ Record and interpret data using a stem and leaf plot.
☐ Calculate the relative frequencies from a frequency table.
☐ Read and interpret frequency tables
Grade 6 | Estimation
☐ Estimate volume, area, and circumference
☐ Justify the reasonableness of estimates
☐ Estimate a percent of quantity (0% to 100%)
☐ Justify the reasonableness of answers using estimation (including rounding)
Grade 6 | Probability
☐ Determine the probability of dependent events
☐ Determine the number of possible outcomes for a compound event by using the fundamental counting principle and use this to determine the probabilities of events when the outcomes have equal probability
☐ List possible outcomes for compound events