Grade 8 Worksheets

Learning Objectives

• Explain how immigration and regional economic changes can lead to cultural transformation in Canadian communities.
• Analyze how language, traditions, and community practices can shift over time and why those shifts matter.
• Use perspective-taking to compare different cultural responses to change and their effects on social cohesion.

Learning Objectives

• Explain how energy is transferred and transformed during ordinary physical processes
• Use conservation of energy to account for changes in kinetic, thermal, and other forms of energy
• Identify evidence of energy transfer (e.g., friction warming surfaces) in real-world scenarios+ Show more

Learning Objectives

• Explain how soil type and climate influence where crops and livestock are raised.
• Analyze how farm size and market forces can affect rural settlement and production choices.
• Evaluate causes and consequences of land conversion and agricultural intensification.

Learning Objectives

• Describe how migration patterns change the size, makeup, and distribution of populations in different places.
• Explain multiple causes of migration, including economic opportunities, conflicts, and legislative changes.
• Analyze impacts of migration on settlement, community governance, and cultural exchange.+ Show more

Learning Objectives

• Explain how technological change affects communication, transportation, and production in communities.
• Analyze causes and consequences of innovation, investment, and labor changes over time.
• Evaluate continuity and change by identifying skills and practices that persist and those that are new.+ Show more

Learning Objectives

• Identify the causes and consequences of a specific local community event using evidence from multiple perspectives.
• Explain how economic interests, political decisions, and cultural interactions shaped local identity and memory.
• Compare continuity and change before and after an institutional or commemorative transformation.

Learning Objectives

• Explain work as the component of force in the direction of displacement and calculate work for constant and variable forces.
• Use the work–energy theorem to relate net work to changes in kinetic energy.
• Apply energy bookkeeping to connected systems involving lifting, springs, and friction.

Learning Objectives

• Explain how technological innovations and the factory system contributed to late 19th-century industrial growth.
• Describe how big business and expanding railroads changed economic opportunities and urban life.
• Analyze the social impacts of industrialization, including economic inequality and labor unrest.+ Show more

Learning Objectives

• Explain how innovations in production and transportation helped markets grow and connect over time.
• Describe how economic institutions such as banks and trade organizations supported commerce and policy.
• Analyze cause-and-effect relationships between technology, markets, and national/global trade.

Learning Objectives

• Explain how the North and the South developed different regional economic systems.
• Describe how economic interests influenced sectional conflict before the Civil War.
• Analyze how tariffs, labor, and territorial expansion affected tensions between regions.

Learning Objectives

• Explain how Manifest Destiny motivated westward migration in North America.
• Identify major migration routes and describe how geography influenced where people settled.
• Analyze how access to resources such as land and water affected settlement and expansion.

Learning Objectives

• Explain how the Monroe Doctrine used hemispheric interests to shape U.S. foreign policy in the Americas.
• Identify key terms and ideas related to non-intervention and exclusivity in the Western Hemisphere.
• Analyze how the Monroe Doctrine influenced later diplomatic strategies and national identity.

Learning Objectives

• Explain how rapid industrialization affected workers’ lives and working conditions.
• Describe how organized labor used strikes and unions to challenge corporate power.
• Analyze how major labor conflicts influenced public policy and government regulation.

Learning Objectives

• Identify physical, chemical, and biological indicators used to assess water quality.
• Explain how indicator measurements (e.g., temperature, pH, dissolved oxygen, turbidity, conductivity, nutrients, and indicator organisms) relate to aquatic health.
• Interpret how natural variability and limitations of single-parameter tests affect conclusions about water use (drinking, recreation, habitat).

Learning Objectives

• Explain key components of integrated water resources management, including allocation, supply planning, and transboundary governance
• Describe how monitoring and adaptive management support trade-off decisions among municipal, agricultural, and ecological water needs
• Use examples of governance instruments (such as licensing and source-protection zones) to connect scientific evidence to policy choices

Learning Objectives

• Explain how water moves through a watershed, including surface runoff and infiltration to groundwater
• Describe how connectivity in a watershed links land activities to lake/river water quality
• Evaluate how governance and monitoring help manage trade-offs among ecosystem health, water supply, and economic uses

Learning Objectives

• Describe how stream stage and discharge are related using rating curves
• Identify common instruments used to measure water quantity and key water-quality indicators
• Interpret hydrographs and basic trends in water quantity and quality over time

Learning Objectives

• Explain the purpose of major stages of drinking-water and wastewater treatment (coagulation, flocculation, sedimentation, filtration, and disinfection).
• Describe how suspended solids and pathogens are removed, and how some dissolved contaminants can be reduced.
• Connect treatment choices to water quality outcomes, energy footprint, and downstream ecosystem health.

Learning Objectives

• Explain how green infrastructure practices manage stormwater by promoting infiltration, reducing runoff, and capturing sediment and nutrients.
• Identify how design choices (soil media, slope, vegetation, and storage volume) can affect outcomes like downstream peak flows and groundwater recharge.
• Differentiate among common green infrastructure tools such as permeable pavements, bioswales, rain gardens, vegetated buffers, and retention ponds.

Learning Objectives

• Quantify the major reservoirs of Earth’s water (saltwater and freshwater) and identify where accessible freshwater is stored.
• Explain how climate, topography, and geology influence where groundwater and other freshwater sources are located.
• Evaluate how uneven freshwater distribution affects human water security and transboundary water concerns.

Learning Objectives

• Explain how advection, dispersion, diffusion, sorption, and biodegradation affect contaminant movement in water
• Describe how redox-driven transformations can change contaminant form and mobility in aquifers
• Use core contaminant transport terms to interpret plume behavior and preferential flow paths

Learning Objectives

• Explain how climate variability and change affect water systems such as precipitation, snowpack, and runoff timing.
• Describe how changes in evapotranspiration and precipitation patterns can influence drought, floods, and groundwater recharge.
• Evaluate how land-use change can interact with climate to affect regional hydrology and water availability.

Learning Objectives

• Explain how demand management and source protection help conserve freshwater.
• Describe how riparian buffers, agricultural best management measures, and wetland preservation protect water quality and habitat.
• Analyze trade-offs between water supply, ecological integrity, and economic uses.

Learning Objectives

• Classify numbers as rational or irrational based on their decimal expansions
• Convert between fractions and terminating or repeating decimals to identify rational numbers
• Recognize common irrational numbers such as √2 and π and justify why they are irrational

Learning Objectives

• Solve equations of the form x² = a and x³ = a using exact radical solutions
• Express solutions symbolically using square roots and cube roots (not decimals)
• Relate radical solutions to their positions on the number line

Learning Objectives

• Add and subtract radicals by combining only like radicals (same radicand).
• Simplify radical expressions using perfect squares and exponent/root rules.
• Simplify products and quotients of radicals by combining factors under one radical when appropriate.

Learning Objectives

• Use rational approximations to locate the value of an irrational number (like √2) between nearby decimals on a number line
• Compare irrational numbers by comparing their rational decimal approximations
• Translate number-line order information into inequality statements

Learning Objectives

• Identify whether a data display shows a positive, negative, or no association between two variables
• Explain why correlation (association) does not prove causation
• Use numerical features of graphs (center/spread/outliers) to describe relationships without making causal claims

Learning Objectives

• Use a line of best fit to model the overall trend in a scatter plot
• Calculate the slope and intercept of a best-fit line and interpret what they mean
• Use a best-fit line to make reasonable predictions within the domain of the data+ Show more

Learning Objectives

• Interpret the constant of proportionality k in y = kx as the ratio y/x for any nonzero pair (x, y)
• Use k to find missing values in proportional relationships (solve for y or x)
• Connect proportional tables, graphs, and tape diagrams to the same constant k+ Show more

Learning Objectives

• Solve multi-step ratio problems by finding an intermediate unit rate or quantity and then scaling to the final amount
• Keep the same proportional multiplier within each proportional relationship while applying it across steps
• Translate ratio situations into equations and use algebra to find missing values

Learning Objectives

• Identify proportional relationships on a coordinate grid by checking that the line passes through the origin.
• Use plotted points on a proportional graph to find the constant of proportionality k and the equation y = kx.
• Interpret proportional graphs using rate reasoning: compute and compare y/x values for nonzero points.+ Show more

Learning Objectives

• Identify proportional relationships of the form y = kx and the meaning of the constant of proportionality k
• Use plotted points on a coordinate grid to find k and write the rule y = kx
• Complete a ratio table for a proportional relationship and determine missing values+ Show more

Learning Objectives

• Use surface area formulas to calculate total outside area of 3D shapes.
• Combine base area and lateral area to find the total surface area for composite shapes.
• Solve equations that come from surface area formulas involving π.+ Show more

Learning Objectives

• Use volume formulas to find the volume of cylinders, cones, and spheres.
• Substitute values for radius and height into the correct formula and simplify accurately.
• Solve for an unknown radius or height using volume relationships.+ Show more

Learning Objectives

• Recognize that similarity transformations keep angle measures the same while changing side lengths by a common scale factor.
• Use transformation sequences (dilations, rotations, reflections, translations) to map one figure to a similar figure on a coordinate grid.
• Find scale factors and corresponding lengths using ratios and proportional reasoning.

Learning Objectives

• Use addition or subtraction to eliminate a variable when solving a system of two linear equations
• Solve the resulting one-variable linear equation after elimination
• Substitute back into an original equation to find the second variable and the ordered pair

Learning Objectives

• Describe how translations, rotations, and reflections move points on a 2D coordinate grid.
• Calculate the image of a point under a specified rigid motion.
• Use properties of rigid motions to verify that distances and angles are preserved.

Learning Objectives

• Understand that solving x^3 = p gives x = ∛p
• Use cube root notation correctly for positive and negative values of p
• Evaluate cube roots by checking that cubing the result gives p

Learning Objectives

• Use the form y = kx to describe proportional relationships that pass through the origin.
• Interpret the unit rate k as the slope of a proportional graph.
• Use proportional graphs to find missing y-values for given x-values and to compare rates of change.

Learning Objectives

• Use the Pythagorean theorem a^2 + b^2 = c^2 to find missing side lengths in right triangles.
• Identify which side is the hypotenuse and match its value correctly to the right-angle vertex.
• Apply Pythagorean thinking to real-world contexts such as diagonals and ladder reach.

Learning Objectives

• Determine slope using rise and run from two points on a coordinate grid
• Compare slopes from different pairs of points on the same line to confirm slope is constant
• Use sign (positive/negative/zero) to interpret slope direction from points

Learning Objectives

• Convert numbers between standard form and scientific notation
• Use exponent rules to multiply and divide numbers written in scientific notation
• Compare numbers in scientific notation using their powers of 10

Learning Objectives

• Explain how integer exponents represent repeated multiplication and repeated division
• Use the exponent rules for integer powers (including zero and negative exponents) to find equivalent expressions
• Rewrite expressions with integer exponents as equivalent numerical values

Learning Objectives

• Use the proportional function rule y = kx to find unknown inputs or outputs
• Determine the constant of proportionality k from given values and apply it to new values
• Solve proportional relationships in context, interpreting the results as meaningful

Learning Objectives

• Describe congruence using transformations such as translations, reflections, and rotations.
• Use coordinates to find the image of points after a transformation.
• Verify congruence by comparing corresponding lengths in transformed figures.

Learning Objectives

• Solve linear equations in one variable using the properties of equality while keeping both sides balanced.
• Use inverse operations to isolate the variable, including when the equation has fractions or like terms.
• Check solutions by substituting the value back into the original equation.

Learning Objectives

• Identify how figurative language (metaphors, similes, personification, and sound devices) shapes mood and tone.
• Analyze how word choice and imagery in a passage create meaning that is suggested rather than directly stated.
• Explain how specific phrases in a text support a reader’s interpretation.