Sapience Summer Math Program
Applying Powers
Lesson 1: Exponents and Rules
Session 1 (45 min)
Meaning of Exponent
Exponent Rules for Products and Quotients
Session 2 (45 min)
Exponent Rule for Powers Raised to a Power
Negative and Zero Exponents
Session 3 (60 min)
Meaning of Radicals and Fractional Exponents
Simplifying Expressions with Exponents
Lesson 2: Scientific Notation
Session 1 (30 min)
Convert Between Standard and Scientific Notation
Session 2 (45 min)
Convert scientific number to have a different coefficients and exponents
Comparing Numbers with Scientific Notation
Operations with Scientific Notation
Assessment (45 min)
80% Accuracy
Expanding Number Systems
Lesson 1: Rational and Irrational Numbers
Session 1 (45 min)
Introduction to Irrational Numbers
Identify Irrational Numbers vs. Rational Numbers
Session 2 (45 min)
Identify what two Integers Non-Perfect Square Roots Fall Between
Order Irrational and Rational Numbers
Lesson 2: Pythagorean Theorem
Session 1 (60 min)
Use the Pythagorean Theorem to find the Leg or Hypotenuse of a Right Triangle
Verify if Measurements Create Right Triangles with Pythagorean Theorem
Session 2 (60 min)
Derive Distance Formula on the Coordinate Plane
Find the Distance between Two Points
Assessment (45 min)
80% Accuracy
Developing Functional Foundations
Lesson 1: Introduction to Functions
Session 1 (60 min)
Classify data and graphs as Functions or Non-Functions
Identify Characteristics of Functions from a graph (e.g. Maximums, minimums, intercepts, domain, and range)
Definition of Slope as Rate of Change
Lesson 2: Linear Functions
Session 1 (60 min)
Graph Linear Functions in Slope-Intercept Form
Graph Linear Functions in Standard Form
Session 2 (60 min)
Write linear equations from a graph
Write linear equations from a given point and slope
Session 3 (45 min)
Write linear equations from two given points
Write linear equations from a table
Lesson 3: Lines of Best Fit
Session 1 (45 min)
Estimate the Line of Best Fit from a scatter plot
Predict an outcome from the Line of Best Fit
Assessment (60 min)
80% Accuracy