This unit of instruction is focused on the introduction of a precise definition of functions as students transition to the more formalized study of algebra. This task asks students to analyze graphs of functions and interpret rates of change, intersections, and points on the curves of different functions.
In this unit students apply their knowledge of equivalence, ordering, and addition with fractions and the meaning of multiplication to extend their understanding of multiplication with fractions by whole numbers. This task asks students to multiply a fraction by a whole number and reason about the meaning of a solution that includes a fractional chocolate bar. Students are also asked to construct and critique arguments by reasoning about the products of whole numbers and fractions.
This unit contains a curriculum-embedded Common Core aligned task and instructional supports. The task is embedded in a 3-4 week unit on solving real-world problems to reinforce the strategies of tiling, multiplication, addition and area models to calculate the perimeter and area of polygons. In addition, students will need to demonstrate and explain their reasoning of strategies used to solve the task.
This packet contains a curriculum-embedded Common Core aligned task and instructional supports. The task is embedded in a 4-5 week unit that focuses on equations and the use of variables and algebraic reasoning to solve mathematical problems that connect to students? everyday experiences. The series of activities is designed to provide students with a conceptual understanding of equations, expressions, variables, and relations. The tasks ask students to represent their work by using models and to apply a variety of strategies to solve problems.
This 2-3 week unit on algebraic expressions allows for students to develop a deep understanding of what an expression is and how it can be used to represent a situation. Students start off by working with number expressions and analyzing the components and evaluating them. They then study the meaning behind a variable and how it us used in an algebraic expression. Finally, they work to understand that two expressions that may look different can be equivalent. The goal is to give students a strong foundation in algebraic expressions before moving on to equations and inequalities.
This packet contains a curriculum-embedded CCLS aligned task and instructional supports. The final task assesses student mastery of the geometry standards related to finding the volume of geometric figures.
This packet contains a curriculum-embedded Common Core?aligned task and instructional supports. The task is embedded in a 2?3 week unit on proportional relationships, linear equations, and slopes. In this unit, students will build on previous work with proportional relationships and unit rates. Students will deepen their understanding of functions and linear equations. In this series of tasks, students will graph proportional relationships and interpret the unit rate as the slope of the line. In addition to deriving and interpreting the equation y = mx + b, students will construct a function to model a linear relationship between two quantities. Students will also explore similar triangles and use them to explain why the slope is constant between any two points on a given line.
This unit contains a curriculum-embedded Common Core aligned task and instructional supports. The ?Grocery Shopping? task will assess students? knowledge of representing equivalent expressions and being able to justify this through the use of the distributive property. The second task is ?The Quilt of a Math Teacher?. This task will assess students? knowledge of formulating an algebraic expression based on a real-??life situation, while addressing Mathematical Practice standards as well.
This packet contains a curriculum-embedded task aligned to the Common Core standards and instructional supports. The task is embedded in a 2-3 week unit on probability. This task asks students to identify the number of outcomes possible from rolling two number cubes, to consider the likelihood of one of the cubes winning an any given roll by showing the sample space, and to determine the probability of a certain outcome. Students can arrive at their answers using models such as tree diagrams, organized list, and charts and by calculating with the fundamental counting principle.
This unit on ratio and proportional understanding will be taught over the course of three weeks. This unit is designed to provide students with a thorough understanding of ratios and proportions, because they are used so much in everyday life applications, and they are a natural extension after the student understands the basics of fractions taught in the 6th grade. Students will analyze proportional relationships and use them to create equations, compute unit rates, and sketch graphs of relationships on the coordinate plane. Ratio and proportional reasoning is taught at the beginning of the year. It is anticipated that students will come from 6th grade with a basic introduction and foundation of ratio and proportional reasoning. Students should have a basic understanding of fractions and equivalent fractions. The concept of ratio is taught thoroughly, including its connection with fractions. Learning about equivalent ratios will lead into the discussions of proportions. Proportions are solved by thinking about equivalent ratios and with the concept of cross-multiplication.
This packet contains a curriculum-embedded CCLS?aligned task and instructional supports. The task is the culminating task at the end of a 3?5 week unit. Throughout their 9th grade year, students read informational and literary texts focused on responding to the essential question of ?Who am I?? In the study of this question, students will draw from a variety of sources, including texts addressing the social, political, economic, and cultural factors and relationships that build identity in order to analyze the place which rites of passage have in the 21st century.
The following materials include a Common Core-aligned task and formative assessments which may be integrated into a currently existing curriculum. The final task assesses student mastery of the standards related to linear functions.
This packet contains a curriculum-embedded aligned task and instructional supports. The task, Time for Recess, has been designed to give a thorough understanding of multiplication of fractions, using both an area model and the algorithm. After an in-depth unit of study involving multiplication of fractions through modeling and use of the standard algorithm, students will complete three real-world problems to demonstrate an understanding of interpreting a fraction as division of the numerator by the denominator and multiplying fractions using an area model and the standard algorithm.
This unit on ratio and proportional understanding will be taught over the course of three weeks. This unit is to provide students with a thorough understanding of ratios and proportions, because they are used so much in everyday life applications and they are a natural extension after students understand the basics of fractions. First, the unit covers thoroughly the concept of ratio, including how it connects with fractions. Next, the unit focuses on equivalent ratios, because those will lead students into proportions just a few lessons later. After the foundation has been set with ratios and rates, students will make connections with proportions. Students will solve proportions by thinking through equivalent ratios and with cross-multiplying. Following this, there is more practice with solving proportions and word problems.
This resource contains a lesson plan for assisting students with a culminating activity during a reading of Romeo and Juliet. Students are tasked with reading a critical essay independently. Afterwards, students are required to draw evidence from the essay, other readings, discussions and any other applicable materials used for a study of the play. The lesson may be used as a guide and may be manipulated to include resources that were aligned by the instructor. The resource contains applicable handouts to include: worksheets and graphic organizers.