Grade 6 Maths Worksheets

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

• 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 different techniques of data collection such as surveys, observations, and experiments.
• Apply mathematical reasoning to analyze data collection scenarios and interpret results accurately.
• Evaluate the impact of method choices on data reliability and bias in real-world contexts.+ 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

• Understand that equivalent ratios represent the same relationship by multiplying or dividing both terms by the same nonzero number
• Use tape diagrams and ratio tables to find missing values in equivalent ratio situations
• Decide whether two ratio statements are equivalent by comparing their scaled quantities

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

• Identify the five parts of a box-and-whisker plot
• Calculate five-number summaries from ordered data sets
• Construct accurate box plots on scaled number lines+ Show more

Learning Objectives

• Understand the concepts of mean, median, and mode as measures of central tendency.
• Calculate mean, median, and mode from various data sets.
• Interpret and compare these measures to describe data distribution.+ Show more

Learning Objectives

• Evaluate how accurate a mathematical model’s predictions are by comparing them with observed data.
• Identify limitations of models by noticing patterns that the model cannot represent (for example, non-linear trends).
• Solve equations and inequalities that appear in model predictions, and interpret the meaning of the solution set.

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

• Apply mathematical reasoning to real-world saving scenarios.
• Calculate percentages, totals, and differences related to savings.
• Interpret data and solve multi-step problems involving money and savings.+ Show more

Learning Objectives

• Use equations to model and solve real-world situations
• Interpret and read information from coordinate grids and line plots
• Use models to make predictions, and evaluate when a model might be limited

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

• 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 to interpret data displays and measures to evaluate reasoning.
• Apply calculations and logical reasoning to draw valid conclusions from data.
• Analyze real-world scenarios involving data to question assumptions and variability.+ Show more

Learning Objectives

• Find the coordinate distance between two points that are horizontally or vertically aligned on a coordinate plane.
• Use the absolute difference of the changing coordinate values to calculate distance.
• Read point coordinates from a grid and apply the coordinate distance rule correctly.

Learning Objectives

• Apply basic mathematical operations to interpret financial data.
• Understand and calculate percentages related to budgeting and savings.
• Interpret charts and lists to make informed financial decisions.+ 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

• Use coordinate differences to find the base and perpendicular height of a triangle on a coordinate plane
• Compute the area of a triangle using A = 1/2 × base × height
• Explain why horizontal and vertical coordinate changes give the measurements for base and height

Learning Objectives

• Understand and calculate the range of data sets.
• Interpret interquartile range to analyze data spread.
• Apply variability measures to real-world data situations.+ Show more

Learning Objectives

• Translate ratio language (a:b form and words like “for every” and “per”) into consistent comparisons of two quantities
• Identify which two quantities are being compared in a ratio statement
• Use ratio language to match equivalent representations of the same ratio

Learning Objectives

• Use a ratio table to describe the same relationship using an equation.
• Solve simple linear equations that come from scaling in a ratio table.
• Interpret the solved value in the context of the table.+ 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

• 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

• 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 and identify algebraic and numeric patterns.
• Generate and extend pattern sequences using rules.
• Apply pattern analysis to solve real-world problems.+ 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

• 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

• Identify and interpret different representations of linear relationships, including tables, graphs, and equations.
• Calculate the constant rate of change from tables and graphs.
• Apply algebraic expressions to real-world situations involving linear patterns.+ Show more

Learning Objectives

• Use ratio reasoning (tape diagrams) to split limited resources fairly.
• Use unit value to convert between ratios and actual amounts of money/time.
• Write and interpret inequalities that represent resource limits (at most/at least).+ Show more

Learning Objectives

• Understand and apply formulas for calculating the area of composite shapes.
• Calculate the volume of rectangular prisms and cylinders using given measurements.
• Interpret how shape properties influence measurement strategies in real-world contexts.+ Show more

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 inverse operations to follow and justify step-by-step equation-solving algorithms
• Check whether a proposed output from an algorithm is correct by substituting back into the original rule
• Translate simple algorithm descriptions into algebraic expressions and compute results+ Show more

Learning Objectives

• Understand how to apply step-by-step algorithms to solve algebraic problems.
• Develop logical reasoning skills to interpret and evaluate solution sequences.
• Practice translating real-world problems into mathematical procedures.+ Show more

Learning Objectives

• Apply mathematical reasoning to solve real-world financial problems.
• Analyze data and interpret percentages in budgeting scenarios.
• Develop problem-solving skills through multi-step financial calculations.+ Show more

Learning Objectives

• Understand how to plot points and figures on the coordinate plane.
• Calculate distances and midpoints between points.
• Interpret geometric relationships such as congruence, symmetry, and similarity using coordinates.+ 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

• Translate real-world rate statements into numerical ratios and simple equations.
• Use unit rates to predict outcomes for new quantities in a situation.
• Check that a rate statement matches the quantities given and interpret what is changing over time or quantity.

Learning Objectives

• Interpret different types of data displays such as bar graphs, line plots, and pie charts.
• Compare the effectiveness of various data presentation formats in conveying trends and patterns.
• Apply mathematical reasoning to analyze and interpret data in real-world contexts.+ Show more

Learning Objectives

• Use values from a table to find a unit rate (the amount for 1 unit).
• Fill in missing table entries using a constant rate or consistent conversion.
• Interpret table rows as equivalent rate comparisons and explain the method.

Learning Objectives

• Combine like terms to simplify algebraic expressions
• Use the distributive property to simplify expressions
• Factor out a common factor to rewrite expressions in simpler equivalent forms+ Show more

Learning Objectives

• Use estimation to judge whether a financial decision is reasonable
• Compare options using calculations and reasonableness checks
• Use inequalities to decide if spending fits within a budget+ 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

• 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