May 29, 2014

Age

12

Proving a theorem

May 29, 2014

In 7th grade, students focus on proportions and proportional relationships; solving linear equations (equations with variables that plot a straight line on a graph) and equations with rational numbers (integers and fractions); finding the area, surface area, and volume of 2- and 3-dimensional shapes; and analyzing data to make inferences. Students also solve more complex, multi-step equations as well as apply them to real-life applications and solve equations that use rational numbers and which include negative numbers.

• Solves equations using percentages that pertain to real-life examples, such as discounts, taxes, interest, and tips.
• Graphs different proportions in order to compare them and analyze the steepness of the line that is graphed (which is referred to as the “slope”).
• Uses equations to show the relationship between proportions.
• Understands equations related to the distance between positive and negative numbers and negative and negative numbers.
• Understands that a positive and negative number can equal 0. For example, 2 + -2 = 0.
• Adds, subtracts, multiplies, and divides negative numbers.
• Analyzes scale drawings (drawings that represent real-life objects, such as cars or buildings and their measurements) in order to solve equations about them.
• Understands that an increase by 5 percent is the same thing as multiplying that number by 0.05.
• Solves multi-step equations that include different forms of numbers, such as fractions, decimals, and percentages.
• Uses statistics specifically to understand and infer information about a group or sample as well as compare 2 different groups or samples.
• Graphs statistics and uses the graph to further analyze a group(s) or sample(s).
• Predicts the probability of something based on collected data.
Age 12

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