Sapience Summer Math Program
Integer and Rational numbers
Lesson 1: Integers
Session 1 (60 min)
On the number line
Comparing integers
Session 2 (60 min)
Rules to add integers
Rules to subtract integers
Session 3 (60 min)
Rules to multiply integers
Rules to divide integers
Session 4 (60 min)
Order of Operations
Lesson 2: Positive Rational Numbers
Session 1 (90 min)
Divisibility rules (2, 3, 4, 5, 6, 8, 9, 10)
Least Common Multiple and Greatest Common Factor
Simplify Fractions
Session 2 (60 min)
Improper fractions and Mixed Number conversion
Fraction and Decimal conversion
Patterns for special fractions
Session 3 (60 min)
Rules to add and subtract decimal numbers
Session 4 (60 min)
Rules to multiply and divide decimal numbers
Session 5 (60 min)
Rules to add and subtract fractional numbers
Session 6 (60 min)
Rules to multiply and divide fractional numbers
Lesson 3: The Four Quadrants
Session 1 (90 min)
Parts to the Cartesian plane
Naming and graphing points
Analyzing graphs
Assessment (60 min)
80% Accuracy
Determining Unknown Quantities
Lesson 1: Expressions
Session 1 (45 min)
Identify parts of an expression (e.g. Terms, coefficient, exponent, etc.)
Math Properties (e.g.Associative, commutative, distributive, etc.)
Session 2 (45 min)
Simplify and combine like terms
Session 3 (45 min)
Write algebraic equations and expressions from phrases
Lesson 2: Solve Single Step Equations and Inequalities
Session 1 (45 min)
Solve single step equations with variables
Session 2 (60 min)
Solve single step inequalities with variables
Graph inequalities on a number line
Assessment (60 min)
80% Accuracy
Relating Quantities
Lesson 1: Ratios
Session 1 (60 min)
Meaning of ratio and the different ways to represent one
Comparing quantities in the form of a ratio
Session 2 (60 min)
Diagrams (double number lines, proportions, tables, graphs) are used to solve unknown values
Lesson 2: Percent
Session 1 (60 min)
Meaning of percent and converting between a percent, fraction, and decimal
Session 2 (60 min)
Find the whole given a percent and the part
Find the part given a percent and the whole
Find the percent given the whole and part
Lesson 3: Unit Rates and Conversions
Session 1 (45 min)
Find unit rates and unit prices to compare different ratios
Session 2 (60 min)
Convert metric units
Convert customary units
Convert between metric and customary
Assessment (60 min)
80% Accuracy