Grade 6 Worksheets

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 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 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 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

• 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 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

• 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 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 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 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 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

• 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

• 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

• 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

• 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

• 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

• 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 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

• 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 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

• 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 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 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

• 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 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 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 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

• 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 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

• 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

• 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

• Describe how cells, tissues, organs, and body systems are organized from smaller to larger structures.
• Explain how the structure of an organ or system helps it perform a specific function.
• Predict how changes in one level of organization can affect overall body system performance.

Learning Objectives

• Explain how competition happens when organisms need limited resources.
• Identify traits and timing that can affect which organisms get resources.
• Describe how competition can change population sizes and community composition over time.

Learning Objectives

• Explain how matter cycles through living and non-living parts of an ecosystem instead of being used up
• Use a cycles of matter model to describe reservoirs (air, soil, water, organisms) and flows (feeding, respiration, decomposition, runoff)
• Describe how carbon and water move among organisms and the environment

Learning Objectives

• Explain how the respiratory system exchanges gases using diffusion and gas concentration differences.
• Describe how the digestive system breaks food into smaller molecules that can enter the bloodstream.
• Connect coordinated respiration and digestion to energy release in cells and proper waste removal.

Learning Objectives

• Explain how erosion and deposition reshape Earth’s surface using the roles of water, wind, ice, and gravity.
• Describe how factors such as slope, rock resistance, vegetation, and water flow strength affect the rate and pattern of erosion.
• Differentiate the environments where erosion and deposition commonly form features such as river valleys, deltas, dunes, and coastal beaches.

Learning Objectives

• Identify Earth’s major systems (lithosphere, hydrosphere, atmosphere, biosphere) and describe how they interact
• Explain how energy from the Sun drives cycles that move water, gases, and heat
• Use cause-and-effect reasoning to predict how changes in one Earth system affect others over different timescales

Learning Objectives

• Differentiate weather from climate using examples from temperature, precipitation, wind, and cloud cover.
• Explain why weather changes quickly while climate describes long-term patterns.
• Use observations from days and months to identify recurring patterns that define local climate.

Learning Objectives

• Differentiate between criteria and constraints in the design process
• Use criteria and constraints to interpret test evidence
• Apply criteria and constraints to propose or evaluate a solution

Learning Objectives

• Explain how a design problem starts with a clear need and measurable requirements.
• Identify common design inputs such as sketches, dimensions, performance goals, and constraints.
• Use criteria to choose and justify an effective solution in a design context.

Learning Objectives

• Explain how evidence supports a scientific claim by describing what the evidence shows (patterns, ranges, or matches).
• Use scientific concepts to connect evidence to a cause-and-effect explanation.
• Compare competing explanations by evaluating which one is better supported by the available evidence.

Learning Objectives

• Define keystone species and explain why they can strongly influence an ecosystem even if they are not the most abundant.
• Describe how trophic control by predators and mutualisms with pollinators can cause cascading effects.
• Identify evidence that suggests an organism is a keystone species and predict impacts on biodiversity and habitat complexity.+ Show more

Learning Objectives

• Differentiate static and dynamic stability and explain how they affect aircraft behavior after a disturbance.
• Describe how center of gravity (CG) position relative to the aerodynamic center influences longitudinal stability.
• Explain how dihedral angle affects roll stability and how fin and tailplane design contribute to directional and pitch stability.+ Show more

Learning Objectives

• Explain how the relative positions of the Sun, Earth, and Moon determine the sequence of lunar phases
• Describe how the Moon’s changing illumination geometry affects the visible fraction of the Moon from Earth
• Distinguish lunar phase appearance from eclipse circumstances using observational patterns

Learning Objectives

• Explain how electrical energy is transferred in a circuit and how that energy becomes thermal energy in resistive components.
• Define power as the rate of energy transfer and relate power to current and voltage using everyday examples.
• Describe how changing current or voltage changes power dissipation and heat generation in circuit elements.+ Show more

Learning Objectives

• Organize qualitative and quantitative observations into tables and graphs that communicate information clearly.
• Choose an appropriate graph type and correctly label axes, scales, units, and legends.
• Identify trends, outliers, and basic summary measures (mean and median) from represented data.+ Show more

Learning Objectives

• Explain how scientific claims are supported by evidence and reasoning.
• Select relevant data and communicate conclusions using appropriate graphs, diagrams, and models.
• Revise scientific communication based on peer feedback to improve clarity and credibility.

Learning Objectives

• Explain how models can represent complex systems and help scientists make predictions.
• Identify assumptions, define model boundaries, and interpret what a model does and does not include.
• Compare model predictions with observable outcomes to refine models and reduce misunderstandings.+ Show more