Demonstrates Competency in Math. Grade 6. Performance Indicators- Process Skills 1 st 2 nd 3 rd 4 th Possible Evidence

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1 Reasons and solve problems using mathematics Communicates coherently and clearly using the language of mathematics Performance Indicators- Process Skills Builds new mathematical knowledge through problem solving. Solve problems using appropriate strategies Reasons and evaluates mathematical arguments Represents mathematical ideas in multiple ways Communicates mathematical thinking coherently and clearly in writing and speaking Uses appropriate mathematics vocabulary to express mathematical ideas Performance Tasks Tests Observations Conversations Performance Tasks Tests Conversations

2 Applies factors, multiples, and prime factorization M6N1 a, b, c Performance Indicators- Prime Time GPS Unit 3- Fractions, Decimals, Ratios, and Percents Apply factors Apply multiples Decompose numbers into their prime factorization Determine the GCF for a set of numbers Determine the LCM for a set of numbers Use in problem solving situations Common Assessment Assessment Special Number Project with Reflection Page Ferris Wheel/Cicada/Hiking Trip/Picnic (Investigation 3) Possible Evidence Slate Board Work

3 Adds and subtracts fractions and mixed numbers with unlike denominators M6N1d Performance Indicators- Bits and Pieces II GPS Unit 3- Fractions, Decimals, Ratios, and Percents Add fractions and mixed numbers with unlike denominators Subtract fractions and mixed numbers with unlike denominators (including regrouping) Final answers in simplest form Common Assessments Assessment Check-up Performance Tasks o Garden Task pg 24 in Bits II o Land Task pg 18 in Bits II o Tangrams Fractions Exemplar

4 Multiplies and divides fractions and mixed numbers M6N1 e Performance Indicators- Bits and Pieces II GPS Unit 3- Fractions, Decimals, Ratios, and Percents Multiplies fractions and mixed numbers Divides fractions and mixed numbers Final answers in simplest form Use in problem solving situations Common Assessments Assessment Check- Up Performance Tasks o Menu Problem pg 52 in Bits III o Ordering from a Catalogue pg 74 in Bits III Check-ups

5 Uses fractions, decimals and percents interchangeably M6N1 f, g Performance Indicators- Bits and Pieces I GPS Unit 3 Fractions, Decimals, Ratios, and Percents Use fractions, decimals, and percents interchangeably Compare and order rational numbers Use the denominator and numerator to explain how rational numbers are ordered Operate with decimal, fractions, and percents Use ratios to compare quantities and solve problems Solve real world problems involving fractions, decimals, and percents Common Assessments Assessment Performance Task o Science Fair Project (ifolder) o Reaching the Goal Project (ifolder) Check-ups

6 Converts measurements from one unit to another using proportional relationships M6M1 Performance Indicators- Measurement GPS Unit 7- Scale Factor N/A Converts measurements from one unit to another in standard form using proportional relationships Converts measurements from one unit to another in metric form using proportional relationships Set up and solve proportions Justify decimal placement for converting metric measurements Common Assessments Assessment Check Up Performance tasks o House o Cake o Poster Check-ups

7 Measures accurately and uses appropriate units of measure M6M1 Performance Indicators- Measurement; Covering and Surrounding; Filling and Wrapping GPS Unit 7- Scale Factor; Unit 8- Solids N/A Measure objects to the nearest 1/2, 1/4, 1/8, or 1/16 of an inch Measure objects to nearest tenth of a centimeter or the nearest millimeter Find the perimeter and area of rectangles and triangles Find the volume of rectangular prisms Common Assessments Assessment Check Up Performance Tasks o Measurement Scavenger Hunt o History of Measurement Check-ups Ace questions

8 Determines volume of solid figures. M6M2 M6M3 M6M4 M6G2 Performance Indicators- Filling and Wrapping GPS Unit 8- Solids N/A N/A Determine the formula the formulas for calculating the volume of right rectangular prisms, cylinders, cones, and pyramids. Use the formulas to find the volume of right rectangular prisms, cylinders, cones, and pyramids. Estimate the volume of simple geometric solids. Solve real-world application problems involving volume. Common Assessments Assessment Performance Task o Math Building Project o Little Pig Builders

9 Determines surface area of solid figures M6M4 Performance Indicators- Covering and Surrounding GPS Unit 8- Solids N/A N/A Find the surface area of right rectangular prisms and cylinders Compute the surface area of right rectangular prisms and cylinders Estimate the surface area of simple geometric solids Solve application problems using surface area Common Assessments Assessment Performance Task o Building a City o Wrapping Mom s Lamp Exemplar o Math Building Project

10 Determines and uses symmetry M6G1 a, b Performance Indicators- Covering and Surrounding GPS Unit 6 N/A N/A Distinguish the difference between line and rotational symmetry. Solve problems using scale drawings. Explain the relationship between similar plane figures and their scale factor. Create models to identify the line of symmetry and the angle of rotation. Common Assessments Assessment Performance Task o Logo Project o Math Building Project

11 Uses ratio, proportions, and scale factors to demonstrate geometric relationships M6G1 c, d, e M6A2 b Performance Indicators- Proportional Reasoning GPS Unit 7- Scale Factor N/A N/A Use the concepts of ratio, proportion and scale factor to demonstrate the relationships between similar plane figures Solve problems using ratios and proportions Interpret and sketch simple scale drawings Solve problems involving scale drawings Common Assessments Assessment Check Up Performance Tasks o Designer s Challenge o Stained Glass Exemplar

12 Compares and contrasts prisms, cylinders, pyramids, and cones. M6G2 Performance Indicators- Filling and Wrapping GPS Unit 8- Solids N/A N/A Compare and contrast prisms and pyramids. Compare and contrast cylinders and cones. Compare and contrast based on the properties of all of the geometric solids. Interpret and sketch solid figures from different perspectives. Create nets for geometric solids. Be able to identify and count faces, edges, and vertices. Common Assessments Assessment Performance Task o Math Building Project

13 Uses ratios and proportions in different ways to solve problems (including percent problems) M6A1 M6A2 c, d, e, f, g Performance Indicators- Comparing and Scaling GPS Unit 3 Fractions, Decimals, Ratios, and Percents Use proportions to solve percent problems Understand the concept of ratio and use it to represent quantitative relationships Use proportions to describe relationships and solve problems (including percents) Describe proportional relationships mathematically using y=kx, where k is the constant of proportionality Graph proportional relationships and describe characteristics of the graphs Solve proportions for one quantity when gives values of the other two Use proportional reasoning to solve problems Common Assessment Assessment Performance Task o How Much Do I Earn? (ifolder) o How Often Does Crime Occur? (ifolder) o Math Building Project

14 Uses algebra to evaluate algebraic expressions and solve one-step equations M6A2 a M6A3 Performance Indicators- Solving Equations GPS Unit 4- One-Step Equations N/A Evaluate an expression when the value of the variable is given Solve equations using inverse operations Use manipulatives to model solving equations Substitute solution into an equation for the purpose of checking Translate verbal phrases into algebraic expressions Translate sentences into algebraic equations Evaluate an algebraic expression that contains exponents Common Assessments Assessment Check Up Performance Tasks o Building With Toothpicks (GPS Framework)

15 Gathers, organizes, displays, and analyzes data to answer questions M6D1 Performance Indicators- Data About Us GPS Unit 1- Gathering Data N/A N/A Know the appropriate use of different kinds of graphs. Formulate questions whose answer can be measured by conducting a survey or experiment (quantitative not qualitative data) Collect by taking surveys and conducting experiments Analyze data. Represent data in a variety of ways. Construct frequency distributions, frequency tables, and graphs. Choose an appropriate graph for given or gathered data. Interpret the results of data analysis as it relates to original questions posed. Common Assessments Assessment Performance Task o Is Anyone Typical? Pg 64 Data o Basketball task (GPS Framework) o Vet Club (GPS Framework) o Music Survey (GPS Framework) o Designing a Survey (GPS Framework) o Math Building Project

16 Uses experimental and theoretical probability. M6D2 Performance Indicators- How Likely Is It? GPS Unit N/A N/A Collect an appropriate sample size. Use proportional reasoning to make predictions. Compare and contrast theoretical and experimental probability Conduct and survey. Analyze data. Predict the probability of a given event through trials and simulations. Write a ratio to describe probability. Common Assessments Assessment Performance Task o M&M s Exemplar