Q2 W4 Nov 4-8 Pre-Algebra

TeacherStephanie Durrance
Subject Area8th Grade Math (Pre-Algebra)
Grade Level8th
Week #4
Unit of InstructionUnit 4: Linear Equations, Functions, and Inequalities
Standard(s) Taught

MAFS.8.EE.3.7: Solve linear equations in one variable. 

a. 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).

b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

MAFS.8.G.2.6: Explain a proof of the Pythagorean Theorem and it converse.

MAFS.8.G.2.7: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

Learning Targets and Learning Criteria

a.       • solve a linear equation with one solution, no solution, and infinitely many solutions. 

• explain the when an equation has one solution, no solution, and infinitely many solutions.    

b.      • simplify equations using distributive property, combining like terms, and inverse operations. 

c.       • solve multi-step linear equations with rational number coefficients. 

d.      • apply the Pythagorean Theorem to find an unknown side length of a right triangle.  

e.       • identify the hypotenuse as the side opposite the right angle in a triangle. 

f.        • draw a diagram and use the Pythagorean Theorem to solve real-world problems involving right      triangles, including three- dimensional figures. 

g.      • demonstrate the relationship of the three side lengths of any right angle by the use of visual models.

h.      • apply algebraic reasoning to relate the visual model to Pythagorean Theorem.

i.        • determine if a given triangle is a right triangle using Pythagorean Theorem.

• explain a proof of the converse of the Pythagorean Theorem.

Classroom Activities

Monday:

Bellringer: Number Sense Problem 33 (5 min)

Whole Group: Interactive Student Notebook (ISN) –  Review Pythagorean Theorem (20 min)

Small Group: Three rotations at 20 minutes each. (1 hour)

Rotation 1 – Teacher Group (Ready Math Book) – Solving Word Problems involving Pythagorean Theorem

Rotation 2 – Partners (Worksheet) – Distance Between Two Points with Pythagorean Theorem

Rotation 3 – Independent (Technology) – IXL: R.5, W.12, W.13

Individual: I-Ready (20 min)

Wednesday:

Bellringer: Number Sense Problem 34 (5 min)

Whole Group: Review for DIA 2 on Solving Multi-Step Equations and Pythagorean Theorem

Thursday/Friday:

Bellringer: Number Sense Problem 32 (5 min)

Whole Group: Finish Review for DIA 2 on Solving Multi-Step Equations and Pythagorean Theorem

Individual: DIA 2

Time Permitting: I-Ready Math

All IEP and ESOL accommodations provided daily.

Assignments Due

·         Homework: Complete IXL standards: R.5, W.12, W.13

·         Exit Tickets: DIA 2, Distance with Pythagorean Theorem, IXL Recording Sheet due Thursday, Nov. 7th.

Additional Resources

Khan Academy videos – type any topic in search bar followed by Khan Academy to find an instructional video for additional support.

IXL – Provides support for any grade level math standard.