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- 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 meter and centimeter
- Various measuring standards
- Units of weight
- Conversion between liters and milliliters
- Count the Cents and Exchange for Dollars
- Conversion between kilometer and meter
- 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.