Students make sensible assumptions and estimates in order to model a situation and solve a practical problem.
Students solve problems using the measures of the interior and exterior angles of polygons, specifically pentagons.
Students critique statements illustrating common misconceptions about the probability of simple and compound events.
Students explore multiple representations of percent increase and decrease using words, multiplication by decimals, and multiplication by fractions.
Students connect descriptions of everyday situations with distance-time tables and graphs and relate speeds to the slopes of the graphs.
Students explore relationships between variables in everyday situations using graphs, tables, and formulae.
Students make connections between expressions represented as words, tables, diagrams, and algebra, recognizing order of operations, the distributive law, and equivalent expressions.
Students solve a problem of optimizing within constraints and then explore alternative algebraic and graphical approaches involving systems of linear equations.
Students solve the problem of how many different tiles are needed to create a pattern at various sizes and explore alternative algebraic and geometrical approaches using linear and quadratic relationships.
Students take on roles in an inquiry into a pollution problem and explore the application, interpretation, communication, and possible misrepresentation of statistics and charts.
Students use the properties of circles and triangles to find the relative areas of shapes in a pattern and explore alternative approaches to tackling the problem.
Students solve a problem using two linear equations with two variables and interpret the meaning of algebraic expressions.
Students critique conjectures about length and area and construct examples and counter-examples to refute or justify them.
This lesson unit is intended to help you assess how well students are able to solve problems involving measurement.
Students compute perimeter, area, and volume using formulas and find relationships in perimeter, area, and volume after scaling.
Students sort algebraic statements into identities, equations with solutions, and equations with no solutions, using manipulation and substitution to justify their choices.
Students combine linear inequalities, correctly representing them on a graph, to identify a set of solutions.
Students reflect and rotate two-dimensional shapes, describe transformations, and explore the effects of combining transformations.
Students use algebra and graphs to explore how the standard, factored, and completed square forms of a quadratic relate to the intercept, roots, maxima, and minima of function.
Students identify parallel and perpendicular lines and find points of intersection and x- and y-intercepts by looking at the equations of the lines.
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