HMS Staff Information: 8-Step

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Saturday, August 2, 2014

8th Grade Math - 1A

Here are the standards for 8th Grade - 1A

8.NS.1 Give examples of rational and irrational numbers and explain the difference between them. Understand that every number has a decimal expansion; for rational numbers, show that the decimal expansion terminates or repeats, and convert a decimal expansion that repeats into a rational number.

8.NS.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, plot them approximately on a number line, and estimate the value of expressions involving irrational numbers. (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.)

8.NS.3 Given a numeric expression with common rational number bases and integer exponents, apply the properties of exponents to generate equivalent expressions.

8.NS.4: Use square root symbols to represent solutions to equations of the form x^2 = p, where p is a positive rational number.

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7th Grade Math - 1A

Here are the standards for 7th Grade - 1A

7.C.5 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units.

Bar models are great for solving rate and ratio problems.

7.C.8 Solve real-world problems with rational numbers by using one or two operations.

7.AF.9 Identify real-world and other mathematical situations that involve proportional relationships. Write equations and draw graphs to represent proportional relationships and recognize that these situations are described by a linear function in the for y = mx, where the unit rate, m, is the slope of the line.

7.GM.3 Solve real-world and other mathematical problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing. Create a scale drawing by using proportional relationships.

7.GM.2 Identify and describe similarity relationships of polygons including the angle-angle criterion for similar triangles, and solve problems involving similarity.

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6th Grade Math - 1A

Here are the standards for 6th Grade 1A:

6.NS.1: Understand that positive and negative numbers are used to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge). Use positive and negative numbers to represent and compare quantities in real-world contexts, explaining the meaning of 0 in each situation.

Idea: Number line activity. Prepare numbers on post-its and have the students place the numbers on a number line. Remember, it is the mathematical discussion that takes place that provides learning and understanding. Allow mistakes, and use them to promote discussion.
Idea: Place numbers on construction paper from -10 to +10. Have students take turns do problems by coming up to the line and physically moving. Example. 3 - 7 = x. Student goes to the number 3 and moves 7 spaces to the left to arrive at an answer of x = -4. Students at seats could have a smaller number line copied and follow along with their fingers. Adding movement activates more of the brain, increasing retention!

6.NS.2: Understand the integer number system. Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself (e.g., –(–3) = 3), and that 0 is its own opposite.

6.NS.8: Interpret, model, and use ratios to show the relative sizes of two quantities. Describe how a ratio shows the relationship between two quantities. Use the following notations: a/b, a to b, a:b.