Grade 6 Maths Worksheets

Learning Objectives

• Understand that converting a decimal to a percent means multiplying by 100
• Convert decimals (including decimals greater than 1) into percents
• Relate the size of a decimal to the size of its percent value

Learning Objectives

• Read ratio relationships from tape (strip) diagrams by using the part counts as equal ratio groups.
• Scale a diagram to find equivalent ratios and missing quantities while keeping the same comparison units.
• Use diagram reasoning to determine missing values in totals and part-to-part comparisons.

Learning Objectives

• Recognise how open and closed endpoints show strict and non-strict inequalities on a number line.
• Read a solution set from an inequality number line and write the matching inequality.
• Represent the solution set of an inequality using interval notation.

Learning Objectives

• Translate a real-world situation into a one-variable equation using a clear variable definition
• Solve linear one-variable equations using inverse operations
• Interpret the solution by checking that it fits the original situation

Learning Objectives

• Use commutative and associative properties to rewrite expressions as equivalent expressions.
• Use identity properties (0 and 1) and inverse operations to replace parts of an expression without changing its value.
• Check that two expressions are equivalent by showing the operation changes preserve the overall value.

Learning Objectives

• Use the formula for the area of a triangle, A = (1/2) · b · h, where h is the perpendicular height to the base b.
• Read base and perpendicular height values from a triangle diagram and compute the triangle’s area.
• Find a missing base or height using the triangle area formula by setting up and solving an equation.+ Show more

Learning Objectives

• Convert fractions to terminating decimals and relate them to equivalent decimals on a number line.
• Convert between fractions, decimals, and percents for the same rational value.
• Recognise when a fraction will have a terminating decimal and connect repeating decimals to fraction form.

Learning Objectives

• Interpret inequalities using the direction of shading (left/right) on a number line
• Identify whether an endpoint is included by using open vs closed circles
• Write an inequality from a number line graph (and vice versa) using rational numbers

Learning Objectives

• Use the distributive property to rewrite equivalent expressions with multiplication over addition and subtraction
• Simplify equivalent expressions by distributing and combining like terms
• Determine whether two expressions are equivalent by comparing distributive rewrites

Learning Objectives

• Explain what unit rate means as a ratio with a denominator of 1
• Compute unit rate by dividing the two quantities and keeping track of units
• Use unit rate to find costs/distances for other amounts and to compare rates

Learning Objectives

• Use a net of a 3D shape to find total surface area by adding face areas
• Compute areas of rectangles from the side lengths shown in a net
• Use triangle base and height to find the area of triangular faces in a net+ Show more

Learning Objectives

• Translate word constraints (at most, at least, less than, greater than) into inequalities.
• Interpret a graph or number line to determine which values satisfy an inequality, including whether the boundary value is included.
• Write solution sets using interval notation for inequalities.

Learning Objectives

• Use substitution to evaluate expressions when a variable is given a value
• Apply the order of operations correctly, including with fractions and negative numbers
• Interpret the evaluated value as a quantity from a real-life context

Learning Objectives

• Find the volume of a right rectangular prism by multiplying the three perpendicular edge lengths
• Express prism volume as a product when edge lengths are fractional
• Use scaling to reason how changing one edge length affects the volume

Learning Objectives

• Read and interpret rational numbers as points on a number line, relative to 0.
• Use the number line to compare rational numbers and describe their positions (left/right of 0).
• Find distances between points and from 0 using absolute value ideas.

Learning Objectives

• Explain why opposite rational numbers are the same distance from 0 using absolute value
• Find absolute values for positive and negative rational numbers shown on a number line
• Use opposite relationships to compare absolute values and distances on a number line

Learning Objectives

• Interpret the coefficient in an expression written with a variable as the change per 1 unit of the variable.
• Interpret the constant term in an expression as the fixed amount that does not change.
• Use the coefficient and constant term to compute values of expressions and describe how outputs change.

Learning Objectives

• Write and interpret algebraic expressions using numbers, variables, and operation symbols.
• Use parentheses and order of operations to determine what an expression means.
• Evaluate expressions by substituting values for variables.

Learning Objectives

• Find the mean, median, and mode of a numerical data set shown in a line plot.
• Use median and interquartile range (IQR) to describe the typical value and spread of data from a box plot.
• Choose which measure of center (mean or median) best represents typical values when data are skewed or include outliers.+ Show more

Learning Objectives

• Interpret a quotient involving a fraction divided by a whole number using equal-size grouping.
• Interpret a quotient involving a whole number divided by a fraction as how many fractional-sized groups fit.
• Use multiplication to check division answers (divisor × quotient = dividend).+ Show more

Learning Objectives

• Interpret a fraction division statement (a/b) ÷ (c/d) as how many copies of (c/d) fit into (a/b)
• Use a tape diagram to represent fraction division and determine the quotient
• Solve simple equations that model fraction division as repeated equal-size pieces+ Show more

Learning Objectives

• Read a line plot to find key features such as the mode, range, and gaps.
• Describe the overall shape of a line plot by looking for clustering and spread.
• Use frequency information from stacked marks to support conclusions about where values concentrate and how values vary.

Learning Objectives

• Understand strategies for maintaining perseverance in solving complex math problems.
• Apply goal setting and self-monitoring techniques during problem-solving tasks.
• Analyze how perseverance affects success in mathematical reasoning and real-world scenarios.+ Show more

Learning Objectives

• Identify appropriate mathematical representations such as graphs, equations, and models for different types of problems.
• Analyze how choosing different representations can enhance understanding and problem-solving strategies.
• Apply various representations to interpret data, solve problems, and communicate mathematical ideas effectively.+ Show more

Learning Objectives

• Identify the rule that generates terms in a numeric pattern
• Use algebraic expressions to describe linear and geometric pattern rules
• Translate between a pattern rule and a condition using inequalities+ Show more

Learning Objectives

• Create and use expressions for simple budgets involving income and expenses
• Solve one-step equations connected to saving and spending plans
• Compare saving and spending outcomes using percentages and fractions

Learning Objectives

• Understand different types of mathematical models such as linear equations and geometric representations.
• Apply mathematical reasoning to interpret data and predict outcomes in real-world scenarios.
• Evaluate the accuracy and limitations of various modeling techniques.+ Show more

Learning Objectives

• Understand methods for transforming algebraic expressions, including expanding, factoring, and simplifying.
• Evaluate the equivalence of different forms of expressions and their application in solving problems.
• Apply properties of operations to justify algebraic transformations.+ Show more

Learning Objectives

• Understand basic concepts of probability and likelihood in real-world contexts.
• Calculate probabilities as fractions, decimals, or percentages.
• Interpret probability values to evaluate risks and make decisions.+ Show more

Learning Objectives

• Recognize and describe numeric and algebraic patterns using tables, symbols, and graphs.
• Apply rules governing sequences to solve real-world problems involving patterns.
• Interpret patterns in practical contexts such as shopping, measurements, and data analysis.+ Show more

Learning Objectives

• Identify and describe basic arithmetic and geometric sequences.
• Apply pattern rules to find missing numbers in sequences.
• Use formulas to generalize and extend number patterns.+ Show more

Learning Objectives

• Understand when and how to properly interpret measures of central tendency and variability.
• Apply calculations to determine mean, median, and range in practical data sets.
• Compare different measures to evaluate data usefulness in real-world contexts.+ Show more

Learning Objectives

• Interpret linear relationships using tables, graphs, and equations
• Identify the constant rate of change and link it to the slope of a graph
• Use an equation to model a real-world situation and make predictions

Learning Objectives

• Develop mathematical reasoning for decision-making scenarios.
• Apply calculations involving percentages, costs, and benefits.
• Interpret data and compare options to make responsible choices.+ Show more

Learning Objectives

• Compare prices of different products using unit rates.
• Calculate and interpret unit prices to evaluate value.
• Apply mathematical reasoning to real-world shopping scenarios.+ Show more

Learning Objectives

• Understand and identify equivalent fractions through visual models and algebraic reasoning.
• Practice simplifying fractions and finding common denominators to compare and order fractions.
• Convert fractions to decimals and percentages to interpret and compare data.+ Show more

Learning Objectives

• Understand and identify proportional relationships in contexts such as scaling and comparison.
• Apply ratio concepts and methods like cross-multiplication to solve real-world problems.
• Interpret tables and visual representations of ratios and rates to make calculations and decisions.+ Show more

Learning Objectives

• Develop strategies for performing multi-digit addition, subtraction, multiplication, and division efficiently.
• Apply properties such as commutative, associative, and distributive laws to simplify calculations.
• Use estimation techniques to verify the reasonableness of solutions in real-world contexts.+ Show more

Learning Objectives

• Identify the slope and y-intercept from points on a line in a coordinate grid.
• Write a linear function equation y = mx + b from two points.
• Use linear models to make predictions from the graph (including slope meaning).+ Show more

Learning Objectives

• Understand and apply basic geometric constructions using tools like ruler and compass.
• Interpret and analyze geometric figures for properties such as angles, sides, and types of triangles.
• Use construction techniques to solve real-world problems involving measurements and spatial reasoning.+ Show more

Learning Objectives

• Understand the relationships among measurement units in length, area, and volume.
• Apply conversion methods to solve real-world measurement problems.
• Develop mathematical reasoning to compare measurements and interpret data.+ Show more

Learning Objectives

• Identify the rule in a numeric pattern from a table, number line, or inequality graph
• Describe how sequences change using consistent operations (add, subtract, multiply, divide)
• Translate pattern statements between different representations (graphs, inequalities, expressions)+ Show more

Learning Objectives

• Create and interpret graphs that model real-world situations using ordered pairs and linear patterns.
• Use graphs to find key features such as the rate of change (slope) and starting value (y-intercept).
• Solve linear equations and relate the algebraic solution back to a model.+ Show more

Learning Objectives

• Understand step-by-step algorithms used in solving mathematical problems.
• Apply logical reasoning to interpret computational procedures.
• Compare different approaches based on efficiency and accuracy.+ Show more

Learning Objectives

• Understand the concept of compound interest and its effect on savings over time.
• Apply mathematical reasoning to calculate interest and total savings.
• Interpret real-world financial scenarios involving percentages and growth.+ Show more

Learning Objectives

• Identify and classify polygons based on the number of sides and angles.
• Apply geometric properties to determine the type of polygon in real-world contexts.
• Calculate missing side lengths or angles in polygons to assist classification.+ Show more

Learning Objectives

• Distinguish between short-term and long-term savings and explain how regular saving supports financial stability.
• Solve and interpret saving problems using addition, multiplication, and money goal constraints.
• Read information from bar graphs and line plots to answer questions about saving goals.

Learning Objectives

• Expand algebraic expressions using the distributive property
• Simplify expressions by combining like terms
• Factor expressions into equivalent forms when appropriate+ Show more