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© 2008 by Mahomet-Seymour Schools.
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Mahomet-Seymour Schools

Curriculum

Mathematics – Grade 7 Advanced

 

 

 

Problem Solving

 

The learner will be able to solve problems using the four step plan.

 

  

 

The learner will be able to compute mentally using properties of numbers.

 

  

 

The learner will be able to estimate answers by using different strategies.

 

  

 

The learner will be able to determine whether answers to problems are reasonable.

 

 

  

 

The learner will be able to solve problems by using estimation to eliminate possibilities.

 

  

 

The learner will be able to analyze data and make a decision.

 

  

 

The learner will be able to use metric units of measurement.

 

  

 

The learner will be able to use customary units of measurement.

 

  

 

The learner will be able to solve problems by guess and check.

 

The learner will be able to solve problems by identifying important information.

 

The learner will be able to solve problems by organizing data into a table.

 

The learner will be able to solve problems by making an organized list.

 

The learner will be able to solve problems by finding and extending a pattern.

 

The learner will be able to solve problems using a formula.

 

The learner will be able to solve problems by drawing a diagram.

 

The learner will be able to solve a simpler problem.

 

  

 

  

 

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Introduction to Algebra

 

The learner will be able to evaluate numerical and algebraic expressions by using the order of operations.

 

The learner will be able to use powers and exponents in expressions.

 

  

 

The learner will be able to identify and solve equations.

 

  

 

The learner will be able to solve equations using the addition, subtraction, multiplication, and division properties of equality.

 

  

 

The learner will be able to solve problems by working backward.

 

  

 

The learner will be able to write algebraic expressions and equations from verbal phrases and sentences.

 

  

 

The learner will be able to solve two-step equations.

 

  

 

The learner will be able to solve problems by using an equation.

 

 

 

  

 

The learner will be able to identify and solve inequalities and graph their solutions.

 

  

 

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Integers

 

The learner will be able to graph integers on a number line and find absolute value.

 

  

 

The learner will be able to compare and order integers.

 

  

 

The learner will be able to add integers.

 

  

 

The learner will be able to add more than two integers.

 

  

 

The learner will be able to subtract integers.

 

  

 

The learner will be able to multiply integers.

 

  

 

The learner will be able to divide integers.

 

  

 

 

 

The learner will be able to solve equations with integer solutions.

 

  

 

The learner will be able to graph ordered pairs on a coordinate plane.

 

  

 

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Statistics and Data Analysis

 

 

 

 

The learner will be able to find the mean, median, and mode of a set of data.

 

  

 

 

 

The learner will be able to find the range of a set of data.

 

  

 

 

 

 

The learner will be able to recognize when graphs and statistics are misleading.

 

  

 

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Investigations in Geometry

 

The learner will be able to define congruence in terms of angle measurement and segment length.

 

  

 

The learner will be able to identify lines that are parallel.

 

 

 

  

 

The learner will be able to classify triangles and quadrilaterals.

 

  

 

The learner will be able to explore line symmetry and rotational symmetry.

 

  

 

The learner will be able to identify congruent figures and similar figures.

 

  

 

 

  

 

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Patterns and Number Sense

 

The learner will be able to use divisibility rules for 2, 3, 4, 5, 6, 8, 9, 10.

 

  

 

The learner will be able to find the prime factorization of a composite number.

 

 

 

 

 

The learner will be able to find the greatest common factor of two or more integers.

 

  

 

The learner will be able to identify and simplify rational numbers.

 

  

 

The learner will be able to express rational numbers as decimals and terminating decimals as fractions.

 

  

 

The learner will be able to express repeating decimals as fractions.

 

  

 

The learner will be able to find the probability of a simple event.

 

  

 

The learner will be able to find the least common multiple of two or more integers.

 

  

 

The learner will be able to compare and order rational numbers expressed as fractions and/or decimals.

 

  

 

The learner will be able to express numbers in scientific notation.

 

  

 

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Rational Numbers

 

The learner will be able to add and subtract fractions with like denominators.

 

  

 

The learner will be able to add and subtract fractions with unlike denominators.

 

  

 

The learner will be able to multiply fractions.

 

  

 

The learner will be able to identify and use rational number properties.

 

 

 

  

 

The learner will be able to recognize and extend arithmetic and geometric sequences.

 

 

 

 

  

 

The learner will be able to divide fractions.

 

  

 

The learner will be able to solve equations with rational number solutions.

 

  

 

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Real Numbers

 

The learner will be able to find square roots of perfect squares.

 

  

 

The learner will be able to estimate square roots.

 

  

 

The learner will be able to identify and classify numbers in the real number system.

 

 

 

  

 

The learner will be able to use the Pythagorean Theorem.

 

  

 

The learner will be able to find the distance between two points in the coordinate plane.

 

  

 

The learner will be able to find the missing measures in 30-60-90 triangles and 45-45-90 triangles.

 

  

 

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Applications with Proportions

 

The learner will be able to express ratios as fractions in simplest form and determine unit rates.

 

  

 

The learner will be able to determine if a pair of ratios form a proportion and solve proportions.

 

  

 

The learner will be able to solve problems by using proportions.

 

 

 

  

 

The learner will be able to identify corresponding parts of similar triangles.

 

  

 

The learner will be able to solve problems in solving scale drawings.

 

  

 

The learner will be able to graph dilations on a coordinate plane.

 

  

 

 

 

 

 

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Applications with Percent

 

 

  

 

The learner will be able to solve problems using the percent proportion.

 

  

 

The learner will be able to express decimals and fractions as percents.

 

  

 

The learner will be able to express percents as fractions and decimals.

 

  

 

The learner will be able to express percents greater than 100 or less than 1 as decimals and fractions.

 

 

 

  

 

The learner will be able to estimate by using fractions, decimals, and percents interchangeably.

 

  

 

The learner will be able to solve problems using the percent equation.

 

 

 

 

 

The learner will be able to find the percent of increase or decrease.

 

  

 

The learner will be able to solve problems involving discounts and markups.

 

  

 

The learner will be able to solve problems involving simple interest.

 

  

 

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Algebra: Functions and Graphs

 

The learner will be able to complete function tables.

 

  

 

The learner will be able to graph functions by using function tables.

 

 

 

  

 

The learner will be able to graph linear functions by plotting points.

 

  

 

The learner will be able to solve system of equations by graphing.

 

  

 

The learner will be able to solve problems by using a graph.

 

  

 

The learner will be able to graph quadratic functions.

 

  

 

The learner will be able to graph translations on a coordinate plane.

 

  

 

The learner will be able to graph reflections and rotations on a coordinate plane.

 

  

 

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Area and Volume

 

The learner will be able to find the area and perimeter of squares, rectangles, parallelograms, triangles and trapezoids.

 

  

 

The learner will be able to find the area and circumference of circles.

 

  

 

The learner will be able to sketch three-dimensional figures.

 

  

 

The learner will be able to find the surface area of rectangular and triangular prisms.

 

  

 

The learner will be able to find the surface area of cylinders.

 

  

 

The learner will be able to find the volume of prisms and cylinders.

 

  

 

The learner will be able to find the volume of pyramids and  cones.

 

  

 

 

 

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Discrete Math and Probability

 

The learner will be able to count outcomes using a tree diagram.

 

  

 

The learner will be able to find the number of combinations of objects.

 

 

 

  

 

The learner will be able to find the probability of independent and dependent events.

 

  

 

The learner will be able to predict actions of a larger group using a sample.

 

  

 

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Algebra: Investigations with Polynomials

 

The learner will be able to simplify polynomials.

 

  

 

The learner will be able to add and subtract polynomials.

 

  

 

The learner will be able to multiply monomials.

 

  

 

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