## Math for the Middles

# Enlighten~Empower~Release~Repeat

# 6TH, 7TH, AND 8TH GRADE MATH CLASSES, TUTORING, AND WORKSHOPS

# 8th Grade Math Cohort

The 8th Grade Math Cohort encompasses 5 units of 8th grade math. Each 50 minute session will include a 15 to 20 minute mini lesson from the teacher and approximately 30 minutes of activities/practice. Each session will allow students to engage with math content and peers while the teacher facilitates student centered learning. Lessons will be as interactive as necessary for student engagement but, will never lose sight of the core concepts of the lesson.

## Curriculum Goals

Unit 1: Rational Numbers, Properties of Exponents and Square Roots

• Define rational and irrational numbers

• Convert a decimal expansion which repeats to a rational number

• Estimate irrational numbers

• Compare the size of irrational numbers

• Explain and apply zero property of exponents

• Explain why a number raised to a negative exponent is the reciprocal

• Multiply exponents with the same base

• Divide exponents with the same base

• Raise an exponent to an exponent

• Evaluate square roots

• Convert values to scientific notation

• Perform operations with scientific notation values

• Compare quantities in scientific notation

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Unit 2: Linear Equations

• Graph proportional relationships

• Compare at least two different proportional relationships

• Interpret the unit rate of a proportional relationship as the slope of a line

• Determine the slope between two distinct points

• Recognize slope as rate of change

• Describe and connect the initial value and rate of change of real life scenarios to slope intercept form

• Graph slope intercept form

• Identify the Y-Intercept

• Determine if a given ordered pair is a solution to a linear equation

• Write linear equations to model real life scenarios

• Use similar triangles to determine the slope of a line

• Understand the components of slope intercept form

• Determine the quantity of solutions to an equation

• Solve linear equations with rational number coefficients

• Solve multistep linear equations that require the distributive property and combining like terms on both sides of an equation with one variable

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Unit 3: Systems of Equations

• Determine if an equation is a function

• Identify a function using, graphs, tables, or equations

• Compare and analyze functions

• Identify and define linear functions on a graph, table, or by equation

• Draw conclusions and make inferences from real life linear equations

• Identify the solution to a system of two linear equations with two variables

• Solve systems of linear equations with two unknowns algebraically

• Determine and describe when two equations have no solution

• Determine and describe when two equations have infinite solutions

• Represent real world and mathematical problems leading to two linear equations

Unit 4: Geometry

• Define and identify rotations, reflections and translations

• Identify a line of reflection

• Use models, and geometric software to confirm properties of rotations, reflections, and translations

• Describe a sequence of rotations, reflections, and translations that exhibit congruence of figures with coordinates

• Define and identify similar triangles

• Identify angles created by a pair of parallel lines cut by a transversal

• Use formulas to calculate the volume of cones, cylinders, and spheres and compare similar sizes of the same shape.

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Unit 5: Statistics and Probability

• Describe scatter plot patterns like clustering, outliers, positive/negative associations and non linear associations

• Construct, and interpret scatter plots with two different variables to investigate patterns of association between two quantities

• Fit a straight line within plotted data

• Informally assess the model fit

• Recognize patterns shown in comparison of two sets of data