Course II
The MATH 180 Course II curriculum transitions students to prealgebra with an emphasis on building proportional reasoning with rates, ratios and linear relationships, and functions. Visual models bring coherence to instruction, making abstract concepts more concrete.
MATH 180 is organized into 9 Blocks of instruction. Each Block relates its mathematical theme to highinterest contexts, stories, and careers. Click on a number to see detailed information about each Block.
MATH 180 Course II:
Making Sense of Math
Some traditional methods of teaching mathematics rely on memorization of procedures. Instead, MATH 180 focuses on reasoning and using visual models to make sense of the math and build conceptual understanding.

RATE
The Traditional MethodLearners often struggle to understand the meaning underlying rate and confuse quantities when calculating unit rate.
The MATH 180 ApproachMATH 180 shows students how the bar model can be used to represent and compare quantities and visualize unit rate.

RATIO
The Traditional MethodStruggling learners often have difficulty understanding the meaning behind the crossmultiplication algorithm.
The MATH 180 ApproachMATH 180 shows students how visual models can be applied to solve ratio problems and gives students a problemsolving approach they can make sense of.

PERCENT
The Traditional MethodStruggling learners often forget which numbers to multiply when solving percent problems.
The MATH 180 ApproachIn MATH 180, students use the double number line to visualize the relationship between the part, percent, and whole in a percent problem.

FUNCTIONS
The Traditional MethodLearners often struggle to evaluate functions by substitution and using the order of operations.
The MATH 180 ApproachMATH 180 has students use graphs and estimation to make sense of functions and how to evaluate them.

EQUATIONS
The Traditional MethodLearners often struggle when applying inverse operations to solve multistep equations.
The MATH 180 ApproachIn MATH 180, students make sense of the structure of equations to reason about their solutions without using complicated algorithms.

LINEAR RELATIONSHIPS
The Traditional MethodStruggling learners often confuse the slope and yintercept when writing the equation of a line.
The MATH 180 ApproachIn MATH 180, students use a graph to build on their knowledge of proportionality to understand linear relationships.