Grade 6 Maths Worksheets

Learning Objectives

• Compare two numerical distributions using measures of center and spread (especially median and interquartile range).
• Use box plots to read quartiles (Q1, median, Q3), compute the IQR, and interpret variability.
• Describe how distributions differ by being shifted left or right and by having greater or smaller spread.

Learning Objectives

• Identify and interpret the median, quartiles (Q1 and Q3), and whiskers on a box plot
• Calculate the interquartile range (IQR) from Q1 and Q3
• Use box plot features to describe the spread (IQR and overall range) of a data set

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 percent as a part out of 100 and connect it to equivalent decimals.
• Convert between percent form and decimal form for rational numbers.
• Use number lines and bar (tape) models to locate equivalent percent/decimal values.

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

• 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

• 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

• 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 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

• 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

• Convert rational numbers between fractions, decimals, and percents.
• Use converted forms to decide which of two numbers is greater or less.
• Order numbers by interpreting their positions on a number line after converting.+ Show more

Learning Objectives

• Explain that absolute value gives the distance from 0, so it is always nonnegative
• Use the number line to compute absolute values from points to 0
• Interpret real-life situations (like elevation or temperature) using absolute value as distance+ Show more

Learning Objectives

• Identify and describe the sides, angles, faces, and other properties of various 2D and 3D shapes.
• Apply geometric reasoning to classify shapes such as triangles, polygons, and polyhedra.
• Use properties like congruence and symmetry to analyze and compare different figures.+ Show more

Learning Objectives

• Identify different types of currency and their values.
• Apply basic mathematical operations to solve problems involving money.
• Interpret and analyze real-world scenarios related to spending, saving, and budgeting.+ 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 how to create and interpret graphs modeling linear relationships.
• Apply graphical representations to solve real-world problems involving rates and costs.
• Analyze the accuracy and limitations of different types of graphs in predicting data.+ Show more

Learning Objectives

• Develop strategies for effective mathematical communication and collaboration.
• Apply mathematical reasoning to solve real-world problems involving calculations and interpretation.
• Analyze peer explanations and representations to deepen understanding.+ Show more

Learning Objectives

• Understand and justify procedures for adding, subtracting, multiplying, and dividing fractions and decimals.
• Develop reasoning about properties and assumptions used in rational number operations.
• Apply mathematical logic to verify correctness of algorithms in real-world contexts.+ Show more

Learning Objectives

• Understand the concept of ratios and how to express them in different forms.
• Apply ratios to solve real-world problems involving measurements, shopping, and data.
• Use proportional reasoning techniques such as setting up and solving proportions.+ 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

• Understand how ratios and proportions are used in real-world contexts.
• Apply proportions to solve problems involving recipes, scales, and rates.
• Set up and interpret ratios to compare quantities and calculate missing values.+ Show more

Learning Objectives

• Identify and extend number patterns involving addition, subtraction, multiplication, and division.
• Calculate and apply greatest common factors (GCF) and least common multiples (LCM) to solve problems.
• Determine prime and composite numbers and explain their properties.+ Show more

Learning Objectives

• Understand how to add, subtract, multiply, and divide fractions and decimals.
• Apply strategies such as common denominators and cross-multiplication to simplify calculations.
• Estimate results to assess reasonableness and validate solutions in real-world contexts.+ Show more

Learning Objectives

• Understand how to compare and convert fractions, mixed numbers, and decimals.
• Apply reasoning skills to interpret relationships among rational numbers in real-world contexts.
• Develop problem-solving strategies involving conversion, comparison, and interpretation of different representations.

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 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 apply rounding strategies to estimate multi-digit calculations.
• Use compatible numbers to approximate solutions in real-world contexts.
• Evaluate the reasonableness of estimates through comparison with exact answers.+ Show more

Learning Objectives

• Understand how to use estimation to check the reasonableness of calculations.
• Apply rounding techniques to simplify complex math problems.
• Develop reasoning skills to compare estimated and exact results.+ 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

• Understand and apply different division algorithms for multi-digit numbers and decimals.
• Develop reasoning skills about remainders and use place value to solve division problems.
• Evaluate the accuracy and appropriateness of various division methods in real-world contexts.+ Show more

Learning Objectives

• Understand how to convert between decimals and fractions.
• Compare and order decimals and fractions in real-world contexts.
• Interpret visual models to determine equivalence of decimals and fractions.+ 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

• Develop the ability to evaluate and improve mathematical solutions through reflection and feedback.
• Apply reasoning to identify errors and justify solution steps in problem-solving.
• Connect different representations and procedures to enhance understanding of mathematical concepts.+ Show more

Learning Objectives

• Understand and apply different problem-solving strategies to multi-step math problems.
• Monitor and evaluate progress during calculations to improve accuracy and confidence.
• Develop perseverance and self-regulation in solving complex mathematical tasks.+ Show more

Learning Objectives

• Apply self-regulation strategies to stay focused during problem-solving tasks.
• Interpret data related to attention and persistence in mathematical contexts.
• Solve real-world math problems involving percentages, measurements, and budgeting.+ Show more

Learning Objectives

• Develop skills to evaluate the accuracy and clarity of mathematical solutions.
• Apply reasoning to interpret different representations of problems.
• Compare approaches against standard criteria to assess their reasonableness.+ Show more

Learning Objectives

• Understand how constructive feedback helps refine problem-solving strategies.
• Analyze errors in mathematical reasoning to improve solutions.
• Reflect on representations and procedures to deepen understanding.+ Show more

Learning Objectives

• Develop skills to interpret and assess the reasonableness of mathematical solutions.
• Apply logical reasoning and calculation checks to verify solutions in real-world contexts.
• Evaluate different approaches to problem-solving for accuracy and consistency.+ Show more

Learning Objectives

• Develop clear explanation skills for mathematical reasoning.
• Interpret and create diagrams to represent mathematical ideas.
• Apply problem-solving strategies to real-world scenarios.+ Show more

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

• Demonstrate clear verbal and written explanations of mathematical ideas.
• Create and interpret visual representations such as diagrams and charts.
• Assess the effectiveness of different methods for sharing reasoning.+ Show more

Learning Objectives

• Understand how to select appropriate mathematical tools for different problems.
• Apply reasoning to interpret data representations and manipulate manipulatives.
• Evaluate the effectiveness of various tools like graphs, symbols, and digital apps in problem-solving.+ Show more

Learning Objectives

• Develop criteria for evaluating the reasonableness of solutions in mathematical problems.
• Use estimation, magnitude analysis, and contextual understanding to check answers.
• Apply reasoning skills to multi-step problems involving real-world scenarios.+ Show more

Learning Objectives

• Understand how to disassemble complex shapes into simpler solids to find volume.
• Apply formulas for the volume of rectangular prisms and cylinders.
• Develop spatial reasoning skills to visualize composite shapes and calculate their total volume.+ 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

• Understand how to convert measurement units within real-world contexts such as construction or landscaping.
• Apply different methods of unit conversions accurately in problem-solving scenarios.
• Analyze the relationships between measurement units and interpret conversions in practical situations.+ Show more

Learning Objectives

• Understand various methods for constructing and representing geometric figures.
• Apply tools and techniques to accurately draw and interpret figures in different contexts.
• Develop reasoning skills to justify construction choices and analyze geometric relationships.+ Show more

Learning Objectives

• Understand the different classifications of triangles based on sides and angles.
• Apply properties of triangles to solve real-world problems involving measurements and angles.
• Develop logical reasoning skills to justify triangle classifications.+ Show more