In Topic 11 Congruence and Similarity, students will:

• use absolute value to find the distance between two points that lie on the same horizontal or vertical line on a coordinate plane.

 • solve real-world mathematical problems involving distances on the coordinate plane.

• find side lengths of polygons on the coordinate plane.

• find the perimeter of polygons on the coordinate plane. 

• use coordinates to describe the rules of a translation.

• translate a two-dimensional figure on a coordinate plane by mapping each of its vertices.

• understand reflections as a type of transformation and how they differ from translations.

• use coordinates to describe the image created by a reflection.

• reflect a two-dimensional figure on a coordinate plane.

• identify and perform a rotation.

• describe a rotation.

• determine how a rotation affects a two-dimensional figure.

• describe and perform a sequence of transformations.

• apply their knowledge of transformations to solve problems.

• use a sequence of transformations to justify the congruence of figures.

• understand that reflections, rotations, and translations are actions that produce congruent geometric figures.

• verify the properties of a dilation.

• graph the image of a dilation given a fixed center and a common scale factor.

• perform a sequence of transformations to identify similar figures.

•  find unknown side lengths in similar figures using proportions.

• understand that there are multiple proportions that can be written. 

• use a scale drawing as a representation of actual lengths and area.

• determine the number of triangles that can be formed given side lengths and angle measures.

• determine unknown measures of interior and exterior angles of triangles.

• write and solve algebraic equations to find angle measures.

• determine triangle similarity by comparing the angle measures of the triangles.

• solve algebraic problems involving similar triangles.

enVision Mathematics Online Family Support  ~ Should you need extra help with any of the lessons in this topic, this link will take you to the online textbook resources that support the above listed content. 

In Topic 7 Linear Equations, students will:

• combine like terms.

• solve equations with like terms on one side of the equation.

• make sense of scenarios and represent them with equations.

• solve equations with like terms on both sides of the equation.

• plan multiple solution path ways and choose one to find the solution to multi-step equations.

• analyze equations, linear graphs, and tables to find unit rates and compare proportional relationships.

• find the slope of a line using different strategies.

• interpret a slope in context and relate it to steepness on a graph.

• understand how the constant of proportionality and the slope relate in a linear equation.

• write a linear equation in the form y=mx when the slope is given.

• graph a linear equation in the form y=mx.

• interpret and extend the table or graph of a linear relationship to find its y-intercept.

• analyze graphs in context to determine and explain the meaning of the y-intercept.

• graph a line from an equation in the form y=mx+b.

• write an equation that represents the given graph of a line.

• identify whether a relation is a function.

• interpret a function.

• identify the domain and range of a function.

• represent linear and non-linear functions with graphs.

• identify functions by their equations, tables, and graphs.

• identify discrete and continuous functions.

• use different representations to compare linear and nonlinear functions.

• write an equation in the form  y=mx+b to describe a linear function.

• describe the behavior of a function in different intervals.

• draw a sketch of a graph for a function that has been described verbally.

• analyze and interpret the sketch of a graph of a function.

enVision Mathematics Online Family Support  ~ Should you need extra help with any of the lessons in this topic, this link will take you to the online textbook resources that support the above listed content.