The MATH 180 Course II curriculum transitions students to pre-algebra 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 high-interest contexts, stories, and careers. Click on a number to see detailed information about each Block.
RATES IN TIME
Students represent motion and compare rates using graphs and tables. They solve problems related to motion and logistics.
RATE AND RATIO
Students find rates and make connections between rates and ratios. They solve problems related to environmental science.
The Bottom Line
Students represent and apply ratios to compare quantities and use models to understand percent. They solve problems related to sales and marketing.
PERCENT AND PROPORTIONAL REASONING
For the People
Students apply percent to solve problems and understand proportionality. They solve problems related to public services.
Students use graphs and equations to understand proportional relationships. They solve problems related to art and design.
On the Money
Students use models, graphs, and equations to extend their understanding of linear relationships. They solve problems related to entrepreneurship and business.
GRAPHS IN THE PLANE
Make Yourself Heard
Students use graphs to reason about properties of negative numbers and extend their understanding of linear relationships. They solve problems related to information technology.
Crack the Code
Students represent and analyze functions and use graphs to understand the relationship between squares and square roots. They solve problems related to entertainment.
SYSTEMS OF EQUATIONS
Students use graphs to find and interpret solutions to systems of linear and non-linear systems. They solve problems related to health science.
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.
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.
The Traditional MethodStruggling learners often have difficulty understanding the meaning behind the cross-multiplication algorithm.
The MATH 180 ApproachMATH 180 shows students how visual models can be applied to solve ratio problems and gives students a problem-solving approach they can make sense of.
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.
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.
The Traditional MethodLearners often struggle when applying inverse operations to solve multi-step equations.
The MATH 180 ApproachIn MATH 180, students make sense of the structure of equations to reason about their solutions without using complicated algorithms.
The Traditional MethodStruggling learners often confuse the slope and y-intercept 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.