Sapience Summer Math Program
Operating with Signed Numbers
Lesson 1: Operations with Rational Numbers
Session 1 (90 min)
Operations with Integers
Operations with Positive Rational Numbers (non-negative solutions)
Session 2 (60 min)
Add and Subtract Signed Rational Numbers
Session 3 (60 min)
Multiply and Divide Signed Rational Numbers
Session 4 (45 min)
Order of Operations
Assessment (45 min)
80% Accuracy
Reasoning Algebraically
Lesson 1: Algebraic Expressions
Session 1 (60 min)
Distributive Property
Factoring Linear Expressions
Session 2 (45 min)
Order of Operations to Simplify Algebraic Expressions
Lesson 2: Two-Step Equations and Inequalities
Session 1 (60 min)
Solve Single Step Equations
Solve two Step Equations
Session 2 (60 min)
Solve Single Step Inequalities
Solve Two Step Inequalities
Graph Inequalities on a number line
Lesson 3: Graphing Linear Functions
Session 1 (90 min)
Identifying Functions
Identifying Linear Functions
Identify and calculate Slopes from Graphs and points
Session 2 (90 min)
Graph Linear Functions by Plotting Points
Graph Linear Functions from Slope-Intercept form
Session 3 (90 min)
Write equations from a graph
Write equations from a given point and slope
Write equations from two given points
Assessment (60 min)
80% Accuracy
Thinking Proportionally
Lesson 1: Proportional Relationships
Session 1 (60 min)
Convert Between Fractions, Decimals, and Percent
Compare Ratios and Rates
Session 2 (60 min)
Solve percent problems (some % of the whole is a part. Any one of these values can be an unknown)
Solve discounted and taxed prices
Percent of change
Lesson 2: Proportionality
Session 1 (60 min)
Identify Direct Variation
Write equations of Direct Variation
Graph Direct Variation
Session 2 (45 min)
Solve proportions using equivalent ratios
Solve scale drawings
Session 3 (60 min)
Parts of a circle (Center, radius, diameter, circumference)
Deriving Pi
Find area and circumference of circles
Assessment (45 min)
80% Accuracy