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Math
- Interpret and rewrite algebraic expressions and equations in equivalent forms.
- Write, solve and graph linear equations, functions and inequalities in one and two variables.
- Write, solve and graph quadratic equations, functions and inequalities in one and two variables.
- Write, solve and graph absolute value equations, functions and inequalities in one and two variables.
- Write, solve and graph exponential and logarithmic equations and functions in one and two variables.
- Solve and graph polynomial equations and functions in one and two variables.
- Solve and graph radical equations and functions in one and two variables.
- Solve and graph rational equations and functions in one and two variables.
- Write and solve a system of two- and three-variable equations and inequalities that describe quantities or relationships.
- Solve problems involving sequences and series.
- Build mathematical foundations for financial literacy.
- Develop an understanding of basic accounting and economic principles.
- Describe the advantages and disadvantages of short-term and long-term purchases.
- Describe the advantages and disadvantages of financial and investment plans, including insurances.
- Prove and apply geometric theorems to solve problems.
- Apply properties of transformations to describe congruence or similarity.
- Use coordinate geometry to solve problems or prove relationships.
- Use geometric measurement and dimensions to solve problems.
- Make formal geometric constructions with a variety of tools and methods.
- Use properties and theorems related to circles.
- Apply geometric and algebraic representations of conic sections.
- Summarize, represent and interpret categorical and numerical data with one and two variables.
- Solve problems involving univariate and bivariate numerical data.
- Solve problems involving categorical data.
- Use and interpret independence and probability.
- Determine methods of data collection and make inferences from collected data.
- Use probability distributions to solve problems.
- Apply recursive methods to solve problems.
- Apply optimization and techniques from Graph Theory to solve problems.
- Apply techniques from Election Theory and Fair Division Theory to solve problems.
- Develop an understanding of the fundamentals of propositional logic, arguments and methods of proof.
- Apply properties from Set Theory to solve problems.
Florida B.E.S.T. Math
Grade 7: Geometric Reasoning
Apply formulas to find the areas of trapezoids, parallelograms and rhombi.
Solve mathematical or real-world problems involving the area of polygons or composite figures by decomposing them into triangles or quadrilaterals.
Explore the proportional relationship between circumferences and diameters of circles. Apply a formula for the circumference of a circle to solve mathematical and real-world problems.
- Area and circumference of circles challenge
- Area of a shaded region
- Circumference and rotations
- Circumference of a circle
- Circumference of parts of circles
- Finding circumference of a circle when given the area
- Impact of increasing the radius
- Partial circle area and arc length
- Radius & diameter from circumference
- Radius and diameter
- Radius, diameter, & circumference
- Radius, diameter, circumference & π
- Relating circumference and area
Explore and apply a formula to find the area of a circle to solve mathematical and real-world problems.
- Area and circumference of circles challenge
- Area of a circle
- Area of a circle
- Area of a shaded region
- Area of parts of circles
- Finding circumference of a circle when given the area
- Impact of increasing the radius
- Partial circle area and arc length
- Radius, diameter, circumference & π
- Relating circumference and area
- Shaded areas
Solve mathematical and real-world problems involving dimensions and areas of geometric figures, including scale drawings and scale factors.
- Construct scale drawings
- Corresponding points and sides of scaled shapes
- Corresponding sides and points
- Creating scale drawings
- Explore scale copies
- Exploring scale copies
- Identify scale copies
- Identify scale factor in scale drawings
- Identifying corresponding parts of scaled copies
- Identifying scale copies
- Identifying scale factor in drawings
- Identifying values in scale copies
- Interpret scale factor in scale drawings
- Interpreting scale factors in drawings
- Making a scale drawing
- Relate scale drawings to area
- Scale copies
- Scale drawing: centimeters to kilometers
- Scale drawings
- Scale drawings
- Scale factors and area
- Solving a scale drawing word problem
Given a mathematical or real-world context, find the surface area of a right circular cylinder using the figure’s net.
Solve real-world problems involving surface area of right circular cylinders.
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Solve mathematical and real-world problems involving volume of right circular cylinders.