MATH 7 EXTENDED
(Grade 7 Math Standards plus the following differentiation)
Assessment Strands: Ratios and Relationships
Proportional
Assessment Strands: Statistics and Probability
Essential Questions:
• What are the measures of central tendency?
• What is a unit rate?
• What are measures of variation?
• What are equivalent ratios?
• What is a box and whisker plot?
• What is a proportion?
• What is a scatter plot?
• How can proportions be used to solve for unknowns?
• How can I identify and describe association?
• What is the percent equation?
• How can I make predictions using a trend line?
• Can more than one ratio describe a situation?
• How can you use a table of different unit rates, a graph in a coordinate plane, and an equation to solve ratio problems? • How are fractions, decimals, and percents related? • How can I mathematically describe discounts, interest, taxes, tips, and percent increase or decrease? Number System
• What is the difference between a rational and irrational number?
MATH 8 CORE Assessment Strands: Number System Expressions and Equations
• What is scientific notation and why is it useful? Functions
• How can I undo operations to solve for unknown values?
• How can you represent a function? Geometry
• How can we relate the volumes of 3D objects to each other and derive their relationships algebraically?
• How does y change with respect to x? • What types of angles are formed by intersecting lines? • What are vertical angles? • What is a linear pair? • How is slope related to parallel or perpendicular lines? • What is the Pythagorean Theorem and its converse?
• What real world problems does the Pythagorean Theorem allow us to solve? • What happens when you transform objects on a coordinate grid?
• What is the equation of a line? Geometry
• How would you determine that a relationship is a function? • How would you interpret and compare the features of a function (e.g. rate of change, initial value, increasing/decreasing, linear or nonlinear) in a realworld context or other representation?
• How can I simplify algebraic expressions?
• What happens if the exponent is negative?
• How can we express values using different notations including square roots, exponents and scientific notation?
• How can we use systems of equations to solve real world problems?
• How can I write algebraic expressions?
• What does the slope of a line indicate about the line?
• What is the difference between a rational and irrational number?
• How can I create, interpret and solve equations with given information from tables, graphs, equations and situations?
• What are the properties of operations?
Expressions and Equations
Esential Questions: • How are rational and irrational numbers represented?
• What is the absolute value of a number?
• How can I apply operations to numbers in scientific notation?
• What is the difference between theoretical and experimental probability? • How can I represent data?
• What is a ratio?
• How do you use a proportional relationship to graph on a coordinate plane?
Essential Questions:
Statistics and Probability
• How can I investigate patterns of association in bivariate data? • How would you determine, depict, and describe patterns of association between two quantities, in bivariate data? • How can we create a model, analyze bivariate data, and interpret association (with and without technology)?
• How do I transform figure and describe those transformations to show similarity or congruence?
26
ISB International School Bangkok
Middle School Program of Studies 2022-2023
27
