The skills are organised into topics, and you can move your mouse over any skill name to view. To start practicing, just click on any link.
You can try out any of the activities for 10 minutes.
To get full access to all our features,
Sign Up!
- 7. Mathematical process standards
- 7.1. The student uses mathematical processes to acquire and demonstrate mathematical understanding.
- 7.1A. Apply mathematics to problems arising in everyday life, society, and the workplace.
- When will the riders meet?
- Divide the Chocolate bar equally
- Elevator activity
- Unitary Method - Word Problems
- Find the length of the shape
- Identify the shape
- Interpret Pictograph with half pictures
- Interpret a Bar graph
- Measurement units and their Decimal form
- How much money do I have?
- Decimals and Currency
- Let us plant some fruits
- Word problems
- Word problems
- Word Problems
- Temperature in real life
- Discoveries in Electricity
- 7.1B. Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
- 7.1C. Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.
- Estimate using ball
- Elevator activity
- Estimate the position of the balloon
- Addition using a number line
- Subtraction using a number line
- Integer addition with counters
- Integer subtraction using counters
- Building blocks
- Model using a balance
- Represent in a number line and compare
- Area of irregular figures
- Identify Percentage
- Estimate the Percentage
- Round and find the result
- Estimate the result
- 7.1D. Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.
- Represent on a grid
- Represent and Find Percentage
- Place the given integers on the numberline
- Addition using a number line
- Subtraction using a number line
- Absolute and Opposite numbers
- Identify the missing number
- Rational numbers - Introduction
- Constants, Coefficients and Terms
- Identify the type of triangle
- Check for Proportionality
- Find all possible factors
- Pick the parts of a circle
- 7.1E. Create and use representations to organize, record, and communicate mathematical ideas.
- 7.1F. Analyze mathematical relationships to connect and communicate mathematical ideas.
- 7.1G. Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.
- Divisibility Test for the number 2
- Divisibility Test for the number 4
- Divisibility Test for the number 8
- Divisibility Test for the number 5
- Divisibility Test for the number 3
- Divisibility Test for the number 6
- How many sea animals can you catch?
- Divisibility Test for the number 10
- Divisibility Test for the number 9
- Divisibility Test for the number 11
- Using Distributive Property
- Using Distributive Property for bigger problems
- 7.1A. Apply mathematics to problems arising in everyday life, society, and the workplace.
- 7.1. The student uses mathematical processes to acquire and demonstrate mathematical understanding.
- 7. Number and operations
- 7.2. The student applies mathematical process standards to represent and use rational numbers in a variety of forms.
- 7.3. The student applies mathematical process standards to add, subtract, multiply, and divide while solving problems and justifying solutions.
- 7.3A. Add, subtract, multiply, and divide rational numbers fluently.
- Addition of rational numbers with different denominators (Practice)
- Subtraction of rational numbers with different denominators (Practice)
- Multiplication of Rational Numbers
- Division of Rational Numbers
- Multiplication skill practice
- Skill Practice for Integer Multiplication & Division
- Combination of Multiplication & Division
- 7.3B. Apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers.
- 7.3A. Add, subtract, multiply, and divide rational numbers fluently.
- 7. Proportionality
- 7.4. The student applies mathematical process standards to represent and solve problems involving proportional relationships.
- 7.4A. Represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt.
- 7.4B. Calculate unit rates from rates in mathematical and real-world problems.
- 7.4C. Determine the constant of proportionality (k = y/x) within mathematical and real-world problems.
- 7.4D. Solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems.
- Equal Ratios
- Model using a balance
- Check for Proportionality
- Test for Proportionality
- Find using proportions
- Fill using Proportions
- Unitary Method - Word Problems
- Represent and Calculate Profit or Loss
- Word Problems
- Introduction to Interest
- Calculating Simple Interest
- Let us calculate Simple Interest
- Simple Interest Graph
- Represent and Find Percentage
- 7.4E. Convert between measurement systems, including the use of proportions and the use of unit rates.
- Conversion between metre and centimetre
- Various measuring standards
- Units of weight
- Conversion between litres and millilitres
- Count the coins and Exchange for Rupees
- Conversion between kilometre and metre
- Conversion between Kilograms and Grams
- Let us convert time and date units
- Convert time units
- How many hours and minutes?
- 7.5. The student applies mathematical process standards to use geometry to describe or solve problems involving proportional relationships.
- 7.5A. Generalize the critical attributes of similarity, including ratios within and between similar shapes.
- Similar Polygons
- Similarity in Triangles
- Application - Shadow Similarity
- SSS Similarity Criterion
- SAS Similarity Criterion
- AAA Similarity Criterion
- Similarity and Transformations
- Identify Similarity
- Find the missing angle or side
- Basic Proportionality Theorem
- Midpoint Theorem
- Angle Bisectors Theorem
- Ratio of Areas
- 7.5B. Describe π as the ratio of the circumference of a circle to its diameter.
- 7.5C. Solve mathematical and real-world problems involving similar shape and scale drawings.
- 7.5A. Generalize the critical attributes of similarity, including ratios within and between similar shapes.
- 7.6. The student applies mathematical process standards to use probability and statistics to describe or solve problems involving proportional relationships.
- 7.6A. Represent sample spaces for simple and compound events using lists and tree diagrams.
- 7.6B. Select and use different simulations to represent simple and compound events with and without technology.
- 7.6C. Make predictions and determine solutions using experimental data for simple and compound events.
- 7.6D. Make predictions and determine solutions using theoretical probability for simple and compound events.
- 7.6E. Find the probabilities of a simple event and its complement and describe the relationship between the two.
- 7.6F. Use data from a random sample to make inferences about a population.
- 7.6G. Solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents.
- 7.6H. Solve problems using qualitative and quantitative predictions and comparisons from simple experiments.
- 7.6I. Determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces.
- 7.4. The student applies mathematical process standards to represent and solve problems involving proportional relationships.
- 7. Expressions, equations, and relationships
- 7.7. The student applies mathematical process standards to represent linear relationships using multiple representations.
- 7.8. The student applies mathematical process standards to develop geometric relationships with volume.
- 7.8A. Model the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights and connect that relationship to the formulas.
- 7.8B. Explain verbally and symbolically the relationship between the volume of a triangular prism and a triangular pyramid having both congruent bases and heights and connect that relationship to the formulas.
- 7.8C. Use models to determine the approximate formulas for the circumference and area of a circle and connect the models to the actual formulas.
- 7.9. The student applies mathematical process standards to solve geometric problems.
- 7.9A. Solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids.
- 7.9B. Determine the circumference and area of circles.
- 7.9C. Determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles.
- 7.9D. Solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape's net
- 7.10. The student applies mathematical process standards to use one-variable equations and inequalities to represent situations.
- 7.10A. Write one-variable, two-step equations and inequalities to represent constraints or conditions within problems.
- 7.10B. Represent solutions for one-variable, two-step equations and inequalities on number lines.
- 7.10C. Write a corresponding real-world problem given a one-variable, two-step equation or inequality.
- 7.11. The student applies mathematical process standards to solve one-variable equations and inequalities.
- 7.11A. Model and solve one-variable, two-step equations and inequalities.
- 7.11B. Determine if the given value(s) make(s) one-variable, two-step equations and inequalities true.
- 7.11C. Write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships.
- 7. Measurement and data
- 7.12. The student applies mathematical process standards to use statistical representations to analyze data.
- 7.12A. Compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes, centers, and spreads.
- 7.12B. Use data from a random sample to make inferences about a population.
- 7.12C. Compare two populations based on data in random samples from these populations, including informal comparative inferences about differences between the two populations.
- 7.12A. Compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes, centers, and spreads.
- 7.12. The student applies mathematical process standards to use statistical representations to analyze data.
- 7. Personal financial literacy
- 7.13. The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor.
- 7.13A. Calculate the sales tax for a given purchase and calculate income tax for earned wages.
- 7.13B. Identify the components of a personal budget, including income; planned savings for college, retirement, and emergencies; taxes; and fixed and variable expenses, and calculate what percentage each category comprises of the total budget.
- 7.13C. Create and organize a financial assets and liabilities record and construct a net worth statement.
- 7.13D. Use a family budget estimator to determine the minimum household budget and average hourly wage needed for a family to meet its basic needs in the student's city or another large city nearby.
- 7.13E. Calculate and compare simple interest and compound interest earnings.
- 7.13F. Analyze and compare monetary incentives, including sales, rebates, and coupons.
- 7.13A. Calculate the sales tax for a given purchase and calculate income tax for earned wages.
- 7.13. The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor.