Students will be asked to solve some constructed response questions involving proportional relationships. Students will also fill in a table and graph the values from the table. Finally, students will apply their proportional reasoning to a real-world situation.
Source: CORE, California Education Partners (CAED)
Students will write algebraic expressions, write and solve equations, and explain the steps they took to solve an equation. Students will interpret the meaning of a variable in the context of a given real-life scenario and will write a real-life scenario given an equation.
Source: CORE, California Education Partners (CAED)
Students will be asked to solve some constructed response questions involving area of 2-dimensional figures. Additionally, students will solve for surface area and volume of 3-dimensional figures. The performance task requires students to design a cereal box that is cost efficient and space saving.
Source: CORE, California Education Partners (CAED)
Students will calculate unit rates to determine the better deal and least expensive purchase. Students will use proportional relationships to solve a real-world problem and write a note to a student analyzing their attempt to solve a real-world problem.
Source: CORE, California Education Partners (CAED)
Students will be asked to solve constructed response questions examining the aspect ratio of various sizes of photographs compared to an 8 in.-by-12 in. photo paper. Students will analyze whether the ratio of the width to the height of a photograph is proportional to that of the paper, represent proportional relationships on a graph and/or by equations, and draw conclusions when the ratio is maintained and when it is not. Additionally, they will develop logical arguments about photographs and cite evidence to support their reasoning.
Source: CORE, California Education Partners (CAED)
Students will be asked to solve constructed response questions examining two different price structures for T-shirts, evaluating expressions and writing equations for each. Students will analyze the price structures, draw conclusions, write a note to a student about what option to choose, develop logical arguments, and cite evidence to support their reasoning.
Source: CORE, California Education Partners (CAED)
Students will be asked to use ratios, proportions, and percentages to solve problems regarding boxes of cereal. Students will analyze information about the cereal, support their reasoning, and determine missing information about the cereal’s nutritional facts.
Source: Mathematics Assessment Resource Service (MARS)
Students will use knowledge of part/whole relationships and operations with fractions to find the total objects in a set. Additionally, students will use probabilities and likelihoods to find and organize all the possible events for a situation. Finally, students will make predictions about events and develop logical arguments about how best to play a game.
Source: Mathematics Assessment Resource Service (MARS)