8th Grade: Linear Expressions and Equations
The first unit for 8th grade, Linear Expressions and Equations, reviews EE skills from 7th grade and allows to set up a solid foundation for 8th Grade Algebra. Student practice writing, interpreting, and using expressions and equations. Students solve equations with rational numbers. In 7th grade one step linear equations are often written in y=mx (or y=kx) form. In 8th grade students solve equations, simplifying to slope intercept form, y=mx+b and learn to solve for the unknown. Students learn to generate equivalent expressions and solve equations with variables in both expressions. Geometry lessons are also provided with require algebraic skills to represent the situation as an equation and solve for the unknown angle or side. At the end of the unit, students simplify equations to identify the number of solutions, a precursor to systems of equations later in the year. PDF is hyper linked with over 100 items. The pfd contains links to:
17 Printable Student Handout with QR code for video instruction
17 Printable Daily Assessment: Mid-Lesson Assessment to check for understanding and/or differentiated flexible groupings
17 Instructional Video Link: Includes Teacher Model and Guided Practice.
Google Slide Decks for each lesson
Teacher Notes and Answer Key for each lesson
Formative Link: e-Copy of the Student Materials on GoFormative.
Also provided is a complete unit overview, a PreTest, PostTest, 4 Quizzes and Student Reflections for each assessment. Answer Keys also added on GoFormative for instant data and student feedback. 30 Day free trial of GoFormative.
The first unit for 8th grade, Linear Expressions and Equations, reviews EE skills from 7th grade and allows to set up a solid foundation for 8th Grade Algebra. Student practice writing, interpreting, and using expressions and equations. Students solve equations with rational numbers. In 7th grade one step linear equations are often written in y=mx (or y=kx) form. In 8th grade students solve equations, simplifying to slope intercept form, y=mx+b and learn to solve for the unknown. Students learn to generate equivalent expressions and solve equations with variables in both expressions. Geometry lessons are also provided with require algebraic skills to represent the situation as an equation and solve for the unknown angle or side. At the end of the unit, students simplify equations to identify the number of solutions, a precursor to systems of equations later in the year. PDF is hyper linked with over 100 items. The pfd contains links to:
17 Printable Student Handout with QR code for video instruction
17 Printable Daily Assessment: Mid-Lesson Assessment to check for understanding and/or differentiated flexible groupings
17 Instructional Video Link: Includes Teacher Model and Guided Practice.
Google Slide Decks for each lesson
Teacher Notes and Answer Key for each lesson
Formative Link: e-Copy of the Student Materials on GoFormative.
Also provided is a complete unit overview, a PreTest, PostTest, 4 Quizzes and Student Reflections for each assessment. Answer Keys also added on GoFormative for instant data and student feedback. 30 Day free trial of GoFormative.
The first unit for 8th grade, Linear Expressions and Equations, reviews EE skills from 7th grade and allows to set up a solid foundation for 8th Grade Algebra. Student practice writing, interpreting, and using expressions and equations. Students solve equations with rational numbers. In 7th grade one step linear equations are often written in y=mx (or y=kx) form. In 8th grade students solve equations, simplifying to slope intercept form, y=mx+b and learn to solve for the unknown. Students learn to generate equivalent expressions and solve equations with variables in both expressions. Geometry lessons are also provided with require algebraic skills to represent the situation as an equation and solve for the unknown angle or side. At the end of the unit, students simplify equations to identify the number of solutions, a precursor to systems of equations later in the year. PDF is hyper linked with over 100 items. The pfd contains links to:
17 Printable Student Handout with QR code for video instruction
17 Printable Daily Assessment: Mid-Lesson Assessment to check for understanding and/or differentiated flexible groupings
17 Instructional Video Link: Includes Teacher Model and Guided Practice.
Google Slide Decks for each lesson
Teacher Notes and Answer Key for each lesson
Formative Link: e-Copy of the Student Materials on GoFormative.
Also provided is a complete unit overview, a PreTest, PostTest, 4 Quizzes and Student Reflections for each assessment. Answer Keys also added on GoFormative for instant data and student feedback. 30 Day free trial of GoFormative.
CCSS8.G.A.5
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.
CCSS7.EE.A.1
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
CCSS7.EE.B.4a
Solve word problems leading to equations of the form 𝘱𝘹 + 𝘲 = 𝘳 and 𝘱(𝘹 + 𝘲) = 𝘳, where 𝘱, 𝘲, and 𝘳 are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
CCSS8.EE.B.5
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
CCSS8.EE.C.7
Solve linear equations in one variable.
CCSS8.EE.C.7a
Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form 𝘹 = 𝘢, 𝘢 = 𝘢, or 𝘢 = 𝘣 results (where 𝘢 and 𝘣 are different numbers).