7th grade mathematicians work on proportionality all year long. Here is our outline of the learning targets.
The Math Handbook and Textbooks are at the bottom of the webpage...scroll down to use.
Connection to Proportionality
LT0: I can explain my thinking and respond to the mathematical thinking of others.
Proportionality is not just a skill, it is a concept that students need to be able to describe in a variety of ways.
1. 2D & 3D Geometry
August - September
LT1.1: I can find measurements and justify formulas involving circumference, area of circles, volume of cylinders, surface area of cylinders, area of sectors of circles and arc length.
Pi is the ratio of the circumference of a circle to the length of its diameter. Students will find the find the length of arcs and the area of sectors.
2. Integers and Rational Numbers
September - November
LT2.1: I can compare positive and negative numbers, expressed as integers, fractions and decimals and graph them on a number line or coordinate grid.
LT2.2: I can calculate with positive and negative rational numbers including those with whole number exponents.
LT2.3: I can use the order of operations and algebraic properties to evaluate expressions containing variables and positive and negative numbers and create equivalent expressions.
This unit will be student first introduction to working fluently with negative numbers. Although this unit has the least connection to proportionality, we will be working with ratios and rates that involve negative values.
3. Ratios and Proportional Reasoning
Approximate dates: November-January
LT3.1: I can write and represent positive and negative numbers, expressed as integers, fractions and decimals.
LT3.2: I can use proportional reasoning to solve problems involving ratios, rational numbers & interest.
LT3.3: I can recognize, represent and solve multi-step problems involving proportional relationships in context.
LT3.4: I can analyze the effect of change of scale on the attributes of two-dimensional figures.
This is the major unit where students will be expected to show that they can reason proportionally. Students will write a lot in this unit to describe the how the size and magnitude of objects and situations are related. Students will work with ratios, rates and scale factors.
4. Proportional Relationships
Approximate dates: January - March
LT4.1: I can identify the features of proportional relationships and can distinguish between proportional and other relationships.
LT4.2: I can represent proportional relationships in real world & mathematical situations with tables, equations/inequalities, graphs, context and language.
LT4.3: I can graph and describe translations and reflections of figures on a coordinate grid.
LT4.4: I can solve real world and mathematical situations using equations with variables.
This unit is one of the major algebra units of the year. Students will look at linear relationships that are proportional, specifically equations in the form y=mx.
5. Data and Probability
March - April
LT5.1: I can use the mean, median and range to draw conclusions about data and make predictions.
LT5.2: I can display and interpret data in a variety of ways, including circle graphs and histograms.
LT5.3: I can calculate probabilities and reason about probabilities using proportions.
Data is a wonderful way for students to reason proportionally. We will be doing a major project comparing real data about the world, the United States, Minnesota and Minneapolis to Ramsey Middle School. See the bulletin board outside of room 202 for an idea of what this will look like.
6. Linear Relationships
May - June
LT6.1: I can represent linear functions with tables, equations, graphs, context and language including identifying the slope and y-intercept.
LT6.1: I can represent and solve real-world and mathematical situations using linear equations and inequalities.
This algebra unit will allow students to compare & contrast proportional relationships (y=x) to linear relationships that are not proportional (y=mx+b) as well as non-linear relationships (exponential).