Mr.+Salzman

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7th grade Math Curriculum click here.

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GEOGRAPHY MR. SALZMAN

7th GRADE MATH CURRICULUM - Wisconsin State Core Standards. -Adapted from Dr. Phelps.

Ratios and Proportional Relationships (1st Quarter)
 * I can compute a unit rate by iterating (repeating) or partitioning given rate.
 * I can compute a unit rate by multiplying or dividing both quantities by the same factor.
 * I can explain the relationship between using composed units and a multiplicative comparison to express a unit rate.
 * I can determine whether two quantities are proportional by examining the relationship given in a table, graph, equation, diagram, or as a verbal description.
 * I can identify the constant of proportionality when presented with a proportional relationship in the form of a table, graph, equation, diagram, or verbal description.
 * I can write an equation that represents a proportional relationship.
 * I can use words to explain the relevance of a specific point on the graph of a proportional relationship, including, but not limited to (0,0) and (1, r).
 * I can use proportional reasoning to solve real-world ratio problems, including those with multiple steps.
 * I can use proportional reasoning to solve real-world percent problems, including those with multiple steps.

The Number System (2nd Quarter)
 * I can describe real-world situations where opposite quantities have a sum of zero.
 * I can use a number line or positive/negative chips to show that an integer and its opposite will always have a sum of zero.
 * I can use a number line to show addition as a specific distance form a particular number in one direction or the other, depending on the sign of the value being added.
 * I can interpret the addition of integers by relating the values to real-world situations.
 * I can rewrite a subtraction problem as an addition problem by using the additive inverse.
 * I can show that the distance between two integers on a number line is the absolute value of their difference.
 * I can describe real-world situations represented by the subtraction of integers.
 * I can use the properties of operations to add and subtract rational numbers, including fractions.
 * I can use patterns and properties to explore the multiplication of integers.
 * I can use patterns and properties to develop procedures for multiplying integers.
 * I can use the relationship between multiplication and division to develop procedures to dividing integers.
 * I can explain why the property of closure exists for the division of rational numbers but not for whole numbers.
 * I can describe real-world situations represented by the division of integers.
 * I can interpret the quotient in relation to the original problem.
 * I can generalize the procedures for multiplying and dividing integers to all rational numbers, including fractions.
 * I can use long division to convert a rational number to a decimal.
 * I can verify that a number is rational based on its decimal equivalent.
 * I can solve real-world problems that involve the addition, subtraction, multiplication, and/or division of rational numbers, including fractions.

Expressions and Equations (3rd Quarter)
 * I can use the commutative and associative properties to add linear expressions with rational coefficients [e.g., -4x + (3 + x) = -4x + (x + 3) = (-4x + x) + 3 = -3x + 3]
 * I can use the distributive property to add and/or subtract linear expressions with rational coefficients [e.g., -1/5x + 3/5x = (-1/5 + 3/5)x = 2/5x]
 * I can use the distributive property to factor a linear expression with rational coefficients [e.g., 6x + 9 = 3(2x + 3)]
 * I can use the distributive property to expand a linear expression with rational coefficients [e.g., 2/3(9x + 6) = (2/3 x 9x) + (2/3 x 6) = 6x + 4]
 * I can use equivalent expressions to understand the relationships between quantities.
 * I can solve real-world problems using rational numbers in any form, including those problems involving multiple steps.
 * I can apply the properties of operations to fluently compute with rational numbers in any form.
 * I can use mental math and estimation strategies to determine if my solution is reasonable.
 * I can use a variable to represent an unknown quantity.
 * I can write a simple algebraic equation (in the form px + q = r and p(x + q) = r, where p, q, and r are given rational numbers) to represent a real-world problem.
 * I can solve a simple algebraic equation by using properties of equality or mathematical reasoning, and show or explain my steps.
 * I can compare an arithmetic solution to an algebraic solution.
 * I can write a simple algebraic inequality (in the form px + q > r or px + q < r, where p, q, and r are given rational numbers) to represent a real-world problem.
 * I can solve a simple algebraic inequality and graph the solution on a number line.
 * I can describe the solution to an inequality in relation to the problem.

Geometry (3rd Quarter/4th Quarter)
 * Draw, Construct and describe geometrical figures and describe the relationships between them.
 * Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Statistics and Probability (4th Quarter)
 * Use random sampling to draw inferences about a population.
 * Draw informal comparative inferences about two populations
 * Investigate chance processes and develop, use, and evaluate probability models.

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