Spiraled Rubrics TYWLS 2018 2019 : Math

1 | 6 | 7 | ALGEBRA 1 | GEOMETRY | ALGEBRA 2 | PRE-CALCULUS | ||||||||||||||||||
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2 | SHARED OUTCOME | Target | MS | ES | MS | ES | MS | ES | MS | ES | MS | ES | MS | ES | MS | ES | ||||||||

3 | ARGUE | Analyze data to make conclusions and predictions (6, A1) | Describe given data by creating an appropriate corresponding equation from a given table or graph. | Use the created equation to justify and identify a given set of data from a word problem or non-routine problem. | ||||||||||||||||||||

4 | BE PRECISE | Attend to Precision | Student work shows a few minor errors, such as: Poor or missing vocabulary, incorrect mathematical symbols, missing parenthesis, rounding errors, not stating the answer, missing units. | Completely correct work and explanations with all appropriate work and units/vocabulary clearly shown. | ||||||||||||||||||||

5 | BE PRECISE | Be precise in solving problems with decimals. (6) | Demonstrate ability to perform all four operations with numbers with decimals with 1-2 calculation errors | Students can correctly find the solutions for for all four operations in a decimal word problem. | ||||||||||||||||||||

6 | Be PRECISE | Be precise in identifying and comparing the size of rational and/or irrational numbers. (6) | Compare the size of rational numbers by either using a number line or convering to a common form. | Compare the size of rational numbers in various forms - decimals, frations, percents. Justify the answer by converting numbers to a common form. | ||||||||||||||||||||

7 | BE PRECISE | Be precise in finding the LCM and GCF. (6) | Demonstrates ability for finding LCM and GCF with little to no error. | Demonstrates knowledge of LCM and GCF by solving word problems or non-routine problems. | ||||||||||||||||||||

8 | BE PRECISE | Be precise in writing and solving equations (6, A1/A2). | -Solve the one and two step equation for the unknown variable. | - Create one and two step equation from a word problem. - Solve the one and two step equation for the unknown variable. | ? | ? | - Create linear and quadratic equations from a scenario. - Solve quadratic equations with the quadratic formula or factoring and solving. | ? | ? | Correct process/method is used to solve equations with calculation error(s). - isolate radicals - Solve quadratic equations through quadratic formula or factoring. - Solve cubic and higher equations through factoring. - Solve exponential equations and logarithmic equations appropriately. | Correct process/method is used to solve equations - Isolate radicals - Quadratics solved by quadratic formula or factoring. - Cubic and higher equations solved through factoring and then quadratic if applicable. - Exponential equations and logarithmic equations appropriately. | |||||||||||||

9 | BE PRECISE | Be precise in applying ratio and unit rate reasoning to solve real world math problems. (6/7) | Understand the concept of ratios and be able apply it to solving one-step ratio/unit rate problems. | Solve multi-step ratio word problem or complex non-routine problems. | ||||||||||||||||||||

10 | Be PRECISE | Be precise in solving problems with fractions. (6) | Solve word problems using quetient or product of fractions | Use appropriate operation (quotient or product) to solve word problems with fractions including mixed numbers and improper fractions | ||||||||||||||||||||

11 | DISCERN | Analyze functions and their characteristics (A1/A2). | Relations are correctly identified as linear, quadratic, or exponential functions or not along with appropriate characteristics. Justification is lacking or computational error is present. | Relations are correctly identified as linear, quadratic, or exponential functions or not along with appropriate characteristics and justifications. | Most of the following characteristics are dervied: - POLYNOMIALS --> Zeros, multiplicities, max/min and end behavior. - TRIG FUNCTIONS --> Sine/Cosine, amplitude, shifts, midline, frequency | All of the following characteristics are dervied to create an equation: - POLYNOMIALS --> Zeros, multiplicities, max/min and end behavior. - TRIG FUNCTIONS --> Sine/Cosine, amplitude, shifts, midline, frequency | ||||||||||||||||||

12 | BE PRECISE | Argue a solution to a system of equations (A1/A2). | Correct method/process is used to solve a system of equations using elimination, substitution, or graphing with calculation error present. | System of equations is correctly solving using elimination, substitution, or graphing. | Correct process/method is used to solve a system of three linear equations, linear-quadratic, or linear-circle equations using appropriate method but calculation error is present. | Solve a system of three linear equations, linear-quadratic, or linear-circle equations using appropriate method. | ||||||||||||||||||

13 | BE PRECISE | Be precise in using order of operations. (6) | Demonstrates knowledge of order of operations with little to no error. | Demonstrates insightful knowledge of order of operations by simplifying complex numerical expressions. | ||||||||||||||||||||

14 | BE PRECISE | Be precise in applying patterns to factor completely. | Polynomials are factored using correct method(s), calculation error is present or polynomial may not be completely factored. | Polynomials are factored completely using correct methods. | Polynomials are factored using correct method(s), calculation error is present or polynomial may not be completely factored. | Polynomials are factored completely using correct methods. | ||||||||||||||||||

15 | BE PRECISE | Be Precise in performing operations with polynomials (A2). | - The process of multiplying polynomials, and adding/subtracting like terms along with order of operations is correctly completed, although errors may be present. | - Polynomials are correctly multiplied and adding/subtracting like terms along with order of operations is correctly completed. | The process of multiplying and dividing polynomials is correctly completed, although errors may be present. | Polynomials are correctly multiplied and divided. | ||||||||||||||||||

16 | BE PRECISE | Be precise in performing operations with irrational numbers (A2). | Irrational numbers are simplified correctly when applying operations to rationalize denominators, multiply conjugates, and simplify complex disriminants. Computational errors are present. | Irrational numbers are simplified correctly when applying operations to rationalize denominators, multiply conjugates, and simplify complex disriminants. | ||||||||||||||||||||

17 | BE PRECISE | Be precise performing operations and reducing rational expressions (A2). | - LCM is used to add and subtract rational expressions with calculation/computation error. - When multiplying or dividing, factor and apply operations. | - LCM is used to add and subtract equivalent rational expressions. - When multiplying or dividing, factor and apply operations. | ||||||||||||||||||||

18 | BE PRECISE | Be precise performing operations on complex numbers (A2). | The powers of i wheel is correctly applied when adding, subtracting, and multiply complex numbers. Calculation error is present or answer may not be in a + bi form. | The powers of i wheel is correctly applied when adding, subtracting, and multiply complex numbers. Answer is left in a + bi form, | ||||||||||||||||||||

19 | BE PRECISE | Be precise solving for all values of a trig function (A2). | Reference angles and trig ratios are used to solve for all values of a trig function with a calculation/computational error. | Correct reference angles and trig ratios are used to solve for all values of a trig function. | ||||||||||||||||||||

20 | CONCLUDE | Verify or simplify trigonometric expressions (A2). | Correct trig identities are used, but computational error is present. | Correct trig identites are used to verify or simplify expressions. | ||||||||||||||||||||

21 | CONCLUDE | Create equivalent expressions by simplifying rational exponents (A2). | Correct properties are chosen to apply to expressions, but computational error is present. | Expressions are correctly converted and simplified using exponent properties. | ||||||||||||||||||||

22 | CONCLUDE | Apply series and sequences to solve problems (A2). | Series or sequence is correctly identified as arithmetic or geometric and formula is applied, but computational error is present. | Series or sequence is correctly identified as arithmetic or geometric and appropriate formula is applied to calculate desired value. | ||||||||||||||||||||

23 | CONCLUDE | Apply principles of probability to solve problems (A2). | Correct process/method is applied to calculate probability of event but computational error is present. | Probability is correctly calculated using appropriate formula and given information. | ||||||||||||||||||||

24 | CONCLUDE | Apply statistics to real-life situations (A2). | Correct process/method is applied to calculate the statistics requested but computational error is present. | Correct statistic is calculated. | ||||||||||||||||||||

25 | CREATE | Create equivalent algebraic expressions (6, 7, A1) | Algebraic expression is evaluated or simplified correctly. | Create expressions using relevant key words. Decern why two or more expression are equivalent by simplifying or evaluating. | ||||||||||||||||||||

26 | INVESTIGATE | Investigate the relationships among factors, multiples, prime numbers, composite numbers and perfect squares. (6) | Demonstrates knowledge of factors/multiples/prime/Composite#/Square numbers | Demonstrates knowledge of number characteristics by applying it to solve real world word problems | ||||||||||||||||||||

27 | INVESTIGATE | Investigate relationship between the circumference and diameter of a circle | Apply knowledge of the relationship wnen solving for circumference of a cirlce | Apply knowledge of the relationship to solve various problems where one of the value (circumference or diameter) is uknown | ||||||||||||||||||||

28 | CONCLUDE | Solve problems that involve positive and negative integers. | Solve a real-world problem involving addition and subtraction of positive and negative integers. | Analyze and solve real-world problems involving addition and subtraction of positive and negative integers. Justify the reasonableness by explaining the answer in the context of the problem. |