TULSA PUBLIC SCHOOLS
Mathematics Pacing Calendar
Accelerated Mathematics 1 (6th Grade)

The following concepts and skills are required of all students completing sixth grade. They should be taught in depth using a variety of methods and applications so that all students have accessibility to and an understanding of these concepts.

NOTE: Asterisks (*) have been used to identify standards and objectives that must be assessed by the local school district. All other skills may be assessed by the Oklahoma School Testing Program (OSTP).

1st Quarter

Unit 1
1.2	Use substitution and order of operations to simplify and evaluate algebraic expressions (e.g., if x = 5 evaluate 2x + 3).
2.4*	Build and explore multiples and their patterns to develop the concept of exponents
2.5	Simplify numerical expressions with exponents and parentheses using order of operations.
	Seventh Grade Benchmarks
2.3a	Analyze and develop generalizations of exponential patterns, including zero as an exponent, using manipulatives and calculators (e.g., model getting paid a penny the first day, 2 cents the second day, 4 cents the third day . . .).
2.3b	Build and recognize models of multiples to investigate squares and square roots (e.g., build rectangular arrays for numbers 1 to 100 and note which can be represented as squares).
2.3c	Estimate the square root of a number (e.g., between two consecutive integers).
Unit 2
4.3	Find reasonable estimates for measurements using measurements in standard and metric units.
5.1	Collect, organize and interpret data to solve problems (e.g., data from student experiments, tallies, Venn diagrams, tables, circles, and bar graphs, spreadsheets).
5.2	Construct and interpret graphs of statistical data (e.g., explain how different representations lead to different interpretations and may distort information).
5.3	Find the median and mode for a set of data in a variety of contexts.
	Seventh Grade Benchmarks
1.1	Identify and apply the commutative, associative, distributive, inverse and identity properties (e.g., n + 0 = n, 2(x + 3) = 2x + 6).
1.2	Use a variety of methods to model and solve 1-step linear equations (e.g., use properties of equality, graph ordered pairs with paper and pencil, use graphing calculators)

Benchmark 1st Quarter Test (October 6-10, 2008)

2nd Quarter

Unit 3
2.2	Convert, compare, and order decimals (terminating and non-terminating), fractions and percents using a variety of methods.
2.3	Estimate solutions to single and multi-step problems using whole numbers, decimals, fractions, and percents and assess whether solutions are reasonable (e.g., 7/8 + 8/9 is about 2, 0.9 + 0.3 is about 1).
	Seventh Grade Benchmarks
2.2b	Set up equivalent ratios, estimate and solve problems using ratio, proportions, and percents including percents greater than 100 and less than 1 (e.g., determine missing sides of similar figures, heart rate per minute, cost per pound, pay to hours worked overtime).
2.2c	Solve percent application problems (e.g., discounts, tax, finding the missing value of percent/part/whole).
Unit 4
1.1	Extend and create patterns from tables, graphs, rules and number properties and generalize patterns algebraically (e.g., recursive patterns like the Fibonacci numbers, number sequences, prime and composite numbers).
2.1	Multiply and divide fractions and mixed numbers to solve problems using a variety of methods.
4.2	Compare and convert units within the same measurement system; express conversions using appropriate unit labels (e.g., square inches to square feet, centimeters to millimeters, hours to minutes); and compute measurements of combined units (e.g., 9’8” + 3’6” = ?' and ?" , 150 minutes = ? hours and ? minutes).
	Seventh Grade Benchmarks
4.2a	Select and use appropriate tools for measurements in practical applications and make reasonable estimates of measurements in a particular situation using the appropriate unit.
4.2b	Use estimates to relate customary and metric measurements to each other.

Benchmark 1st Semester Test (Dec 15-19, 2008)

3rd Quarter

Unit 5
3.1a	Compare, estimate and determine the measurements of angles.
3.1b	Find the complement and supplement of an angle.
3.2	Differentiate between congruent and similar figures.
	Seventh Grade Benchmarks
4.1a	Develop area and perimeter concepts (e.g., use grids to estimate the area of irregular shapes).
4.1b	Apply formulas to solve problems involving perimeter (circumference) and area of polygons and circles.
Unit 6
3.3*	Describe the effect of performing basic transformations on objects and figures in a variety of contexts. (e.g., explore reflection [flip] with mirrors, explore rotation [turn] and translation [slide] by designing the layout of different shapes of floor tile).
4.1*	Collect data and develop formulas to find the circumference and area of circles (e.g., use string the length of the diameter of various circular lids to approximate the circumference and develop the concept of pi).

Benchmark 3rd Quarter Comprehensive Test (March 9-13, 2009)

4th Quarter

2.1b	The student will use the arithmetic operations to compute with integers.
2.3a	The student will apply exponent rules to simplify numerical expressions.
2.3b	The student will identify exponential, scientific, and calculator notation.
3.1a	Classify triangles according to their sides and angles.
3.1b	Classify quadrilaterals according to their sides and angles (e.g., determine whether all squares are rectangles).
3.2	Identify and compare bisectors, interior, exterior, and vertical angles (e.g., using graph paper, software, protractors to measure angles between parallel lines with a transversal).
3.3a	Locate points on a plane in all four quadrants.
3.3b	Identify geometric transformation of figures (rotations, translations, and reflections).
	Seventh Grade Benchmarks
5.1	Use data from a sample to predict possible outcomes and compute simple probabilities as fractions, decimals or percents (e.g., use data from lists, tree diagrams, frequency distribution tables, area models).
5.2	Determine the probability of an event involving "or", "and", or "not" (e.g., on a spinner with 1 blue, 2 red and 2 yellow sections, what is the probability of getting a red or a yellow?).
5.3	Find all possible combinations and permutations involving a limited number of variables.