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5th & 6th Grade Gifted math Expectations
Think like a Mathematician!
Monroeville Elementary Gifted Mathematicians should come to class prepared to learn in two ways:
A. Students will show growth and achieve mastery over Ohio's College and Career Readiness Standards.
   1. Make sense of problems and persevere in solving them
   2. Reason abstractly and quantitatively
   3. Construct viable arguments and critique
   4. Model with mathematics
   5. Use appropriate tools strategically
   6. Attend precision
   7. Look for and make use of structure
   8. Look for and express regularity in repeated reasoning
B. Students will show growth and achieve mastery over Ohio's Learning Standards for Mathematics. (See I Can Statements below)
I Can Statements
>>> HIGHLIGHTED areas are the current Learning Targets 
5th Grade I CAN Statements:
Operations and Algebraic Thinking
5 OA 1 - I can use parentheses, brackets or braces in numerical expressions.
5 OA 2 - I can write and interpret simple numerical equations representing calculations without solving the equation.
5 OA 3 - From a given starting number, I can generate two different numerical patterns using two given rules, and identify relationships between the corresponding terms in each pattern.
Numbers and Operations in Base Ten
5 NBT 1 - I understand that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right, and 1/10 of what it represents one place to it’s left.
5 NBT 2 - I can explain patterns in the number of zeros of the product when multiplying a number by powers of 10. I can explain patterns in the placement of the decimal point when a decimal is multiplied or divided by powers of 10. I can use exponents to denote powers of 10.
5 NBT 3 - I can read and write decimals to thousandths using base-ten numerals, number names, and expanded form. I can compare two decimals to thousandths place using <, >, = symbols.
5 NBT 4 - I can round decimals to any place.
5 NBT 5 - I can multiply multi-digit whole numbers.
5 NBT 6 - I can find whole-number quotients of whole numbers with up to 4-digit dividends and 2-digit divisors.
5 NBT 7 - I can add, subtract, multiply and divide decimals to the hundredths place.
Numbers and Operations - Fractions
5 NF 1 - I can add and subtract fractions with unlike denominators by using equivalent fractions.
5 NF 2 - I can solve word problems that involve the addition and subtraction of fractions.
5 NF 3 - I can interpret a fraction as the division of the numerator by the denominator. I can solve word problems involving the division of whole numbers that end in fractions and/or mixed numbers.
5 NF 4 - I can multiply fractions or whole numbers by fractions, and use this knowledge to solve problems of area.
5 NF 5 - I can interpret the size of a product to the size of one of its factors based on the size of its other factor without solving the equation. I understand that multiplying a given number by a fraction greater than 1 results in a product greater than the given number, and multiplying a given number by a fraction less than 1, results in a product less than the given number.
5 NF 6 - I can solve real world problems involving the multiplication of fractions and mixed numbers.
5 NF 7 - I understand and can solve real world problems by dividing fractions and whole numbers.
Measurement & Data
5 MD 1 - I can convert standard measurements within a given measurement system and use these conversions to solve multi-step, real world problems.
5 MD 2 - I can create a line plot to display a data set of measurements in fractions of a unit.
5 MD 3 – I recognize volume as an attribute of solid figures and understand concepts of volume measurement.
5 MD 4 - I can measure volumes by counting unit cubes, cubic centimeters, cubic inches, cubic feet and improvised units.
5 MD 5 - I can relate volume to the operations of multiplication and addition, and can solve real world and mathematical problems.
5 G 1 - I can use a pair of perpendicular number lines to define a coordinate system. I understand that the first number in a coordinate system indicates distance from the origin along one axis, and the second number indicates distance from the origin along another axis.
5 G 2 - I can represent real world and mathematical problems by graphing points in the first quadrant of a coordinate plane.
5 G 3 - I understand that attributes belonging to a category of two-dimensional figures also belong to all of it’s subcategories.
5 G 4 - I can classify two-dimensional figures in a hierarchy based on properties.
6th Grade I CAN Statements:
Ratios & Proportional Relationships
6 RP 1 - I understand the concept of a ratio and can describe a ratio relationship between two quantities.
6 RP 2 - I understand the concept of a unit rate a/b associated with a ratio a:b with b not equal to 0, and I can use rate language in the context of a ratio relationship.
6 RP 3 - I can use ratio and rate reasoning to solve real-world math problems. I can make tables of equivalent ratios, find missing values in tables and plot pairs of values on coordinate planes. I can solve unit rate problems including those involving unit pricing and constant speed.
The Number System
6 NS 1 - I can interpret and compute quotients of fractions, and I can solve real-world problems involving the division of fractions by other fractions.
6 NS 2 - I can easily divide multi-digit numbers.
6 NS 3 - I can easily add, subtract, multiply and divide multi-digit decimals.
6 NS 4 - I can find the greatest common factor of two whole numbers up to 100, and the least common multiple of two whole numbers that are less than or equal to 12. I can express the sum of two whole numbers from 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor.
6 NS 5 - I understand that positive and negative numbers are used to describe quantities that have opposite directions or values, and I can use positive and negative numbers to represent quantities in real-world contexts.
6 NS 6 - I understand that rational numbers are points on a number line. I also understand that numbers and number lines extend to represent negatives.
6 NS 7 - I understand ordering and the absolute value of rational numbers, and I understand how numbers on a number line diagram are greater than, less than or equal to other numbers on the number line, including negative numbers.
6 NS 8 - I can solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane.
Expressions & Equations
6 EE 1 - I can write and evaluate numerical expressions involving whole-number exponents.
6 EE 2 - I can write, read and evaluate expressions in which letters stand for numbers.
6 EE 3 - I can apply the properties of operations to generate equivalent expressions.
6 EE 4 - I can identify when two expressions are equivalent.
6 EE 5 - I understand how to solve an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true.
6 EE 6 - I can use variables to represent numbers and write expressions when solving real-world or mathematical problems, and I understand that a variable can represent an unknown number in a specified set.
6 EE 7 - I can solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
6 EE 8 - I can write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem, and I can recognize that inequalities of the form x > c or x < c have infinitely many solutions. I can represent solutions of such inequalities on number line diagrams.
6 EE 9 - I can use variables to represent two quantities in a real-world problem that change in relationship to one another. I can write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable, and analyze the relationship between the two variables using graphs and tables.
6 G 1 - I can find the area of right triangles, other triangles, special quadrilaterals and polygons by composing into rectangles or decomposing into triangles and other shapes, and I can apply these techniques to real-world mathematical problems.
6 G 2 - I can find the volume of a right rectangular prism with fractional edge lengths. I can apply the formulas: volume = length times width times height, and volume = base times height, to find the volumes of right rectangular prisms with fractional edge lengths in real-world math problems.
6 G 3 - I can draw polygons in the coordinate plane given coordinates for vertices. I can use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. I can apply these techniques in real-world mathematical problems.
6 G 4 - I can represent three-dimensional figures using nets made up of rectangles and triangles to find the surface areas of these figures, and I can apply these techniques in real-world mathematical problems.
Statistics & Probability
6 SP 1 - I can recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.
6 SP 2 - I understand that a set of data collected to answer a statistical question has a distribution that can be described by its center, spread and overall shape.
6 SP 3 - I recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.
6 SP 4 - I can display numerical data in plots on a number line, including dot plots, histograms and box plots
6 SP 5 - I can report a number of observations, and I can describe the nature of the attribute being observed. I can find the median, mean, interquartile range and mean absolute deviation of a set, and I can describe overall patterns and deviations from that pattern.  
In addition to classroom activities and assignments, students will be responsible for completing the following assignments:
1. Math Fact Magician Mastery Certificates - Approximately 10 per Quarter
2. Math Minutes - 25 per Quarter
3. Mountain Math - 1 Set per Week
4. Checkbook Math - Weekly Deposits and Withdrawals 
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